[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: experience
Target surface form: experience
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational <t>experience</t>. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=experience%1:09:01:: | definition=the accumulation of knowledge or skill that results from direct participation in events or activities | examples=a man of experience; experience is the best teacher
2. sense_key=experience%1:09:00:: | definition=the content of direct observation or participation in an event | examples=he had a religious experience; he recalled the experience vividly
3. sense_key=experience%1:11:00:: | definition=an event as apprehended | examples=a surprising experience; that painful experience certainly got our attention

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense of "experience" in the given context, we analyze the sentence:

> "They are based on dubious psychological and sociological theories rather than on educational **experience**."

The phrase "educational experience" suggests a reference to the practical knowledge or insight gained from being involved in educational activities or practices. This aligns with the idea of **accumulating knowledge or skill through direct participation**, which is precisely what the first sense describes:

1. **Definition**: the accumulation of knowledge or skill that results from direct participation in events or activities.
   - **Examples**: a man of experience; experience is the best teacher.

The context contrasts "dubious psychological and sociological theories" with "educational experience," indicating that the intended meaning is the practical, learned aspect of education rather than a singular event or an abstract perception of an event. Therefore, the first sense best captures the intended meaning.

Thus, the single best indexed sense is:

```json
{"sense_index": 1}
```


attempt_kind: initial

status: success

[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: reason
Target surface form: reasons
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the <t>reasons</t> American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=reason%1:16:00:: | definition=a rational motive for a belief or action | synonyms=ground | examples=the reason that war was declared; the grounds for their declaration
2. sense_key=reason%1:10:01:: | definition=an explanation of the cause of some phenomenon | examples=the reason a steady state was never reached was that the back pressure built up too slowly
3. sense_key=reason%1:09:00:: | definition=the capacity for rational thought or inference or discrimination | synonyms=understanding, intellect | examples=we are told that man is endowed with reason and capable of distinguishing good from evil
4. sense_key=reason%1:26:00:: | definition=the state of having good sense and sound judgment | synonyms=rationality, reasonableness | examples=his rationality may have been impaired; he had to rely less on reason than on rousing their emotions
5. sense_key=reason%1:10:00:: | definition=a justification for something existing or happening | synonyms=cause, grounds | examples=he had no cause to complain; they had good reason to rejoice
6. sense_key=reason%1:09:01:: | definition=a fact that logically justifies some premise or conclusion | examples=there is reason to believe he is lying

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence uses "reason" to explain why American students perform poorly in math compared to students from other countries, attributing it to the influence of "New Math" on American textbooks and teaching methods. This usage aligns with the sense of "reason" as **an explanation of the cause of some phenomenon**. Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```

finish_reason: stop

role: assistant

currency: USD

source: unavailable


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: american
Target surface form: American
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons <t>American</t> students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English
2. sense_key=american%3:01:00:: | definition=of or relating to or characteristic of the continents and islands of the Americas | examples=the American hemisphere; American flora and fauna

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American students" in comparison with students from other countries (British, French, German, Japanese) and discusses the influence of "New Math" on American textbooks and teaching methods. This clearly relates to the United States of America and its educational system, rather than the broader geographic region of the Americas. Therefore, the most appropriate sense is:

- **Sense 1**: of or relating to the United States of America or its people or language or culture.

Thus, the best indexed sense is sense 1.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American <t>students</t> do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American students" in comparison with British, French, German, or Japanese students, discussing their performance in math tests and the influence of educational methods. This clearly indicates the group being discussed are learners enrolled in educational institutions, not learned scholars or academics. Therefore, the appropriate sense is the one defining "student" as a learner enrolled in an educational institution.

The best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: so
Target surface form: so
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do <t>so</t> poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=so%4:02:02:: | definition=to a very great extent or degree | examples=the idea is so obvious; never been so happy
2. sense_key=so%4:02:06:: | definition=in a manner that facilitates | examples=he observed the snakes so he could describe their behavior; he stooped down so he could pick up his hat
3. sense_key=so%4:02:05:: | definition=in such a condition or manner, especially as expressed or implied | examples=They're happy and I hope they will remain so; so live your life that old age will bring no regrets
4. sense_key=so%4:02:07:: | definition=to a certain unspecified extent or degree | examples=I can only go so far with this student; can do only so much in a day
5. sense_key=so%4:02:08:: | definition=in the same way; also | examples=I was offended and so was he; worked hard and so did she
6. sense_key=so%4:02:04:: | definition=in the way indicated; ; ; (`thusly' is a nonstandard variant) | synonyms=thus, thusly | examples=hold the brush so; set up the pieces thus
7. sense_key=so%4:02:03:: | definition=(usually followed by `that') to an extent or degree as expressed | examples=he was so tired he could hardly stand; so dirty that it smells
8. sense_key=so%4:02:09:: | definition=subsequently or soon afterward (often used as sentence connectors) | synonyms=then, and so, and then | examples=then he left; go left first, then right
9. sense_key=so%4:02:10:: | definition=(used to introduce a logical conclusion) from that fact or reason or as a result | synonyms=therefore, hence, thence, thus | examples=therefore X must be true; the eggs were fresh and hence satisfactory
10. sense_key=so%4:02:00:: | definition=in truth (often tends to intensify) | synonyms=indeed | examples=they said the car would break down and indeed it did; it is very cold indeed

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "so" in the given context, we analyze the sentence:

> One of the reasons American students do **so** poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math" on American textbooks and teaching methods.

The word "so" here is linking the performance of American students ("poorly in math tests") to a specific reason ("the influence of the 'New Math'"). It indicates the extent or degree to which this reason accounts for the poor performance.

Let's evaluate the candidate senses:

1. **to a very great extent or degree** – This suggests an extreme level, which doesn't fit the context of explaining a reason.
2. **in a manner that facilitates** – This implies a facilitating manner, which is not relevant here.
3. **in such a condition or manner, especially as expressed or implied** – This could fit, but it's more about describing a state rather than linking a reason to a condition.
4. **to a certain unspecified extent or degree** – This matches the context well: it explains *why* American students perform poorly to a certain degree due to the influence of "New Math."
5. **in the same way; also** – This doesn't fit the explanatory role of "so" here.
6. **in the way indicated** – This is too specific and doesn't capture the explanatory nuance.
7. **(usually followed by `that`) to an extent or degree as expressed** – This is close, but the phrase "as expressed" is more formal and less idiomatic than the simpler "to a certain extent."
8. **subsequently or soon afterward** – This temporal sense is irrelevant.
9. **(used to introduce a logical conclusion)** – This logical connector sense doesn't apply here.
10. **in truth (often tends to intensify)** – This intensifier sense doesn't fit the explanatory context.

The most appropriate sense is **sense_key=so%4:02:07::**, which defines "so" as "to a certain unspecified extent or degree." This sense captures the idea that the influence of "New Math" accounts for the poor performance of American students to a certain degree.

Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: compare
Target surface form: compared
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as <t>compared</t> with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=compare%2:31:00:: | definition=examine and note the similarities or differences of | examples=John compared his haircut to his friend's; We compared notes after we had both seen the movie
2. sense_key=compare%2:42:00:: | definition=be comparable | examples=This car does not compare with our line of Mercedes
3. sense_key=compare%2:31:01:: | definition=consider or describe as similar, equal, or analogous | synonyms=liken, equate | examples=We can compare the Han dynasty to the Romans; You cannot equate success in financial matters with greed
4. sense_key=compare%2:32:00:: | definition=to form the comparative or superlative form on an adjective or adverb

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "One of the reasons American students do so poorly in math tests, as **compared** with British, French, German or Japanese students, is the influence of the "New Math" on American textbooks and teaching methods." uses "compared" to indicate a direct comparison between the performance of American students and that of students from other countries. This aligns with the definition of **examine and note the similarities or differences of**, which is captured by sense 1. However, the specific phrasing "as compared with" is a common idiomatic expression used to highlight differences or similarities between two groups, which is more precisely described by sense 3: **consider or describe as similar, equal, or analogous**. The synonyms "liken" and "equate" further support this interpretation, as they imply drawing parallels between the two groups. Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese <t>students</t>, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American students" and "British, French, German or Japanese students" in the context of academic performance and educational methods. This clearly indicates the individuals being discussed are learners enrolled in educational institutions, not learned scholars or academics. Therefore, the appropriate sense is the one defining a learner enrolled in an educational institution.

The best indexed sense is:

**sense 1: a learner who is enrolled in an educational institution (synonyms: pupil, educatee).**

Thus, the JSON response is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: influence
Target surface form: influence
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the <t>influence</t> of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=influence%1:07:00:: | definition=a power to affect persons or events especially power based on prestige etc | examples=used her parents' influence to get the job
2. sense_key=influence%1:04:00:: | definition=causing something without any direct or apparent effort
3. sense_key=influence%1:09:00:: | definition=a cognitive factor that tends to have an effect on what you do | examples=her wishes had a great influence on his thinking
4. sense_key=influence%1:19:00:: | definition=the effect of one thing (or person) on another | examples=the influence of mechanical action
5. sense_key=influence%1:18:00:: | definition=one having power to influence another | examples=she was the most important influence in my life; he was a bad influence on the children

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses how the "New Math" has affected American textbooks and teaching methods, leading to poorer math test performance compared to students in other countries. This usage of "influence" refers to the effect that the "New Math" has had on educational practices, which aligns with the definition of a cognitive factor that tends to have an effect on what you do. Therefore, the best sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: american
Target surface form: American
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on <t>American</t> textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English
2. sense_key=american%3:01:00:: | definition=of or relating to or characteristic of the continents and islands of the Americas | examples=the American hemisphere; American flora and fauna

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American students" and contrasts their performance with students from other countries (British, French, German, Japanese). This clearly relates to the United States of America and its people, specifically students from that country. Therefore, the most appropriate sense is the one that pertains to the United States of America or its people.

The best indexed sense is:

**sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English**

Thus, the correct sense index is 1.

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: want
Target surface form: wants
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who <t>wants</t> to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=want%2:37:00:: | definition=feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room
2. sense_key=want%2:34:00:: | definition=have need of | synonyms=need, require | examples=This piano wants the attention of a competent tuner
3. sense_key=want%2:35:00:: | definition=hunt or look for; want for a particular reason | examples=Your former neighbor is wanted by the FBI; Uncle Sam wants you
4. sense_key=want%2:31:01:: | definition=wish or demand the presence of | examples=I want you here at noon!
5. sense_key=want%2:42:01:: | definition=be without, lack; be deficient in | examples=want courtesy; want the strength to go on living

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "wants" in the given context, we analyze the sentence:

> "Anyone who **wants** to appreciate just how bizarre this situation is..."

The context suggests that the word "wants" is used to express a desire or wish to engage with or understand something. The phrase "wants to appreciate" implies a personal inclination or motivation to seek out and comprehend the described situation.

Let's evaluate the candidate senses:

1. **Feel or have a desire for; want strongly** (synonyms: desire)
   - Example: "I want to go home now."
   - This sense aligns with "wants to appreciate," indicating a desire to engage with the content.

2. **Have need of** (synonyms: need, require)
   - Example: "This piano wants the attention of a competent tuner."
   - This sense implies a necessity, which does not fit the context of expressing a wish to understand.

3. **Hunt or look for; want for a particular reason**
   - Example: "Your former neighbor is wanted by the FBI."
   - This sense involves seeking someone or something due to a specific purpose, which is not applicable here.

4. **Wish or demand the presence of**
   - Example: "I want you here at noon!"
   - This sense suggests a command or request for someone's presence, which does not match the context.

5. **Be without, lack; be deficient in**
   - Example: "want courtesy; want the strength to go on living."
   - This sense indicates a lack or deficiency, which is unrelated to the expression of desire in the context.

The best-fitting sense is **1: feel or have a desire for; want strongly**, as it captures the idea of a personal wish to appreciate the bizarre situation described.

Therefore, the correct sense index is 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: appreciate
Target surface form: appreciate
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to <t>appreciate</t> just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=appreciate%2:37:00:: | definition=recognize with gratitude; be grateful for
2. sense_key=appreciate%2:31:00:: | definition=be fully aware of; realize fully | synonyms=take account | examples=Do you appreciate the full meaning of this letter?
3. sense_key=appreciate%2:40:00:: | definition=hold dear | synonyms=prize, value, treasure | examples=I prize these old photographs
4. sense_key=appreciate%2:30:00:: | definition=gain in value | synonyms=apprize, apprise, revalue | examples=The yen appreciated again!
5. sense_key=appreciate%2:30:01:: | definition=increase the value of | synonyms=apprize, apprise | examples=The Germans want to appreciate the Deutsche Mark

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense of "appreciate" in the given context, we analyze the sentence:

> "Anyone who wants to **appreciate** just how bizarre this situation is — with students who cannot add or subtract 'learning' the conceptual basis of mathematical theory — should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator."

**Contextual Analysis:**
- The phrase "appreciate just how bizarre this situation is" suggests understanding or realizing the extent or nature of the bizarre situation.
- The context implies a deeper comprehension or realization of the issue, rather than gratitude, valuation, or monetary increase.

**Synonym and Example Review:**
1. **Sense 1:** "recognize with gratitude; be grateful for" – Synonyms: none relevant; Example: "recognize with gratitude" – does not fit the context of understanding a bizarre situation.
2. **Sense 2:** "realize fully; be fully aware of" – Synonyms: "take account," "take into account"; Example: "Do you appreciate the full meaning of this letter?" – This aligns well with the need to understand the full extent of the bizarre situation.
3. **Sense 3:** "hold dear; prize, value, treasure" – Synonyms: "prize," "value," "treasure"; Example: "I prize these old photographs" – This sense pertains to valuing something, not understanding a situation.
4. **Sense 4:** "gain in value" – Synonyms: "apprize," "apprise," "revalue"; Example: "The yen appreciated again!" – Clearly unrelated to the context of understanding a situation.
5. **Sense 5:** "increase the value of" – Synonyms: "apprize," "apprise"; Example: "The Germans want to appreciate the Deutsche Mark" – Also unrelated to the context.

**Conclusion:**
The context requires the meaning of "appreciate" as "realize fully; be fully aware of," which corresponds to **Sense 2**.

Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: just
Target surface form: just
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate <t>just</t> how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=just%4:02:00:: | definition=and nothing more | synonyms=merely, simply, only, but | examples=I was merely asking; it is simply a matter of time
2. sense_key=just%4:02:05:: | definition=indicating exactness or preciseness | synonyms=precisely, exactly | examples=he was doing precisely (or exactly) what she had told him to do; it was just as he said--the jewel was gone
3. sense_key=just%4:02:01:: | definition=only a moment ago | synonyms=just now | examples=he has just arrived; the sun just now came out
4. sense_key=just%4:02:03:: | definition=absolutely | synonyms=simply | examples=I just can't take it anymore; he was just grand as Romeo
5. sense_key=just%4:02:04:: | definition=only a very short time before; ; ; ; ; - W.B.Yeats | synonyms=barely, hardly, scarcely, scarce | examples=they could barely hear the speaker; we hardly knew them
6. sense_key=just%4:02:06:: | definition=exactly at this moment or the moment described | examples=we've just finished painting the walls, so don't touch them

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense of "just" in the given context, we analyze the sentence:

> "Anyone who wants to appreciate <t>just</t> how bizarre this situation is -- with students who ca not add or subtract "learning" the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator."

The phrase "appreciate **just** how bizarre this situation is" suggests that the speaker wants the reader to understand precisely or exactly how strange the situation is. The word "just" here is used to emphasize the exactness or preciseness of the bizarre nature of the situation.

Let's evaluate the candidate senses:

1. **sense_key=just%4:02:00::** (and nothing more) - This sense implies a limitation or restriction, which doesn't fit the context of emphasizing exactness.
2. **sense_key=just%4:02:05::** (indicating exactness or preciseness) - This sense aligns with the need to convey the precise or exact nature of the bizarre situation, matching the synonyms "precisely" and "exactly."
3. **sense_key=just%4:02:01::** (only a moment ago) - This sense refers to recent time, which is irrelevant here.
4. **sense_key=just%4:02:03::** (absolutely) - While "absolutely" is a synonym, it doesn't capture the nuance of emphasizing exactness as strongly as "precisely."
5. **sense_key=just%4:02:04::** (only a very short time before) - This sense is about a brief time interval, which doesn't apply.
6. **sense_key=just%4:02:06::** (exactly at this moment) - This sense is close but more about immediacy than about emphasizing exactness in describing the bizarre nature.

The context clearly requires the sense that conveys **exactness or preciseness**. Therefore, the best indexed sense is:

**sense_key=just%4:02:05::**

Thus, the JSON response is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: situation
Target surface form: situation
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this <t>situation</t> is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=situation%1:26:00:: | definition=the general state of things; the combination of circumstances at a given time; ; ; - Franklin D.Roosevelt | synonyms=state of affairs | examples=the present international situation is dangerous; wondered how such a state of affairs had come about
2. sense_key=situation%1:26:01:: | definition=a condition or position in which you find yourself | synonyms=position | examples=the unpleasant situation (or position) of having to choose between two evils; found herself in a very fortunate situation
3. sense_key=situation%1:26:02:: | definition=a complex or critical or unusual difficulty | examples=the dangerous situation developed suddenly; that's quite a situation
4. sense_key=situation%1:15:00:: | definition=physical position in relation to the surroundings | synonyms=site | examples=the sites are determined by highly specific sequences of nucleotides
5. sense_key=situation%1:04:00:: | definition=a job in an organization | synonyms=position, post, berth, office, spot, billet | examples=he occupied a post in the treasury

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence discusses the poor performance of American students in math compared to students from other countries, attributing it to the influence of "New Math" on American textbooks and teaching methods. The phrase "how bizarre this <t>situation</t> is" highlights a complex, critical, and unusual difficulty arising from this educational context. Therefore, the most appropriate sense is:

**Sense 3: a complex or critical or unusual difficulty**

Thus, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with <t>students</t> who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "American students" in comparison with British, French, German, or Japanese students, discussing their performance in math tests and the influence of educational methods. This clearly indicates the individuals being discussed are learners enrolled in educational institutions, not learned scholars or academics. Therefore, the appropriate sense is the one defining "student" as a learner enrolled in an educational institution.

The best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: add
Target surface form: add
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not <t>add</t> or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=add%2:30:00:: | definition=make an addition (to); join or combine or unite with others; increase the quality, quantity, size or scope of | examples=We added two students to that dorm room; She added a personal note to her letter
2. sense_key=add%2:32:01:: | definition=state or say further | synonyms=append, supply | examples=`It doesn't matter,' he supplied
3. sense_key=add%2:40:00:: | definition=bestow a quality on | synonyms=lend, impart, bestow, contribute, bring | examples=Her presence lends a certain cachet to the company; The music added a lot to the play
4. sense_key=add%2:31:00:: | definition=make an addition by combining numbers | synonyms=add together | examples=Add 27 and 49, please!
5. sense_key=add%2:32:00:: | definition=determine the sum of | synonyms=total, tot, tot up, sum, sum up, summate | examples=Add all the people in this town to those of the neighboring town
6. sense_key=add%2:42:00:: | definition=constitute an addition | examples=This paper will add to her reputation

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "students who ca not <t>add</t> or subtract" clearly refers to the inability to perform arithmetic operations, specifically the mathematical process of combining numbers. This aligns with the sense of "add" that involves making an addition by combining numbers. Therefore, the best indexed sense is:

```json
{"sense_index": 4}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: subtract
Target surface form: subtract
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or <t>subtract</t> "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=subtract%2:31:00:: | definition=make a subtraction | synonyms=deduct, take off | examples=subtract this amount from my paycheck
2. sense_key=subtract%2:30:00:: | definition=take off or away | examples=this prefix was subtracted when the word was borrowed from French

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context involves students who "cannot add or **subtract**" in a mathematical sense, referring to the basic arithmetic operation of taking one number away from another. This aligns with the definition "make a subtraction" and the synonym "deduct," which are used in the context of arithmetic calculations. The second sense, "take off or away" in a more general, non-arithmetic context, does not fit as well here. Therefore, the best sense is the first one.

{"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: learn
Target surface form: learning
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "<t>learning</t> "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=learn%2:31:00:: | definition=gain knowledge or skills | synonyms=larn, acquire | examples=She learned dancing from her sister; I learned Sanskrit
2. sense_key=learn%2:31:01:: | definition=get to know or become aware of, usually accidentally | synonyms=hear, get word, get wind, pick up, find out, get a line | examples=I learned that she has two grown-up children; I see that you have been promoted
3. sense_key=learn%2:31:03:: | definition=commit to memory; learn by heart | synonyms=memorize, memorise, con | examples=Have you memorized your lines for the play yet?
4. sense_key=learn%2:31:02:: | definition=be a student of a certain subject | synonyms=study, read, take | examples=She is reading for the bar exam
5. sense_key=learn%2:32:00:: | definition=impart skills or knowledge to | synonyms=teach, instruct | examples=I taught them French; He instructed me in building a boat
6. sense_key=learn%2:32:02:: | definition=find out, learn, or determine with certainty, usually by making an inquiry or other effort | synonyms=determine, check, find out, see, ascertain, watch | examples=I want to see whether she speaks French; See whether it works

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "learning" in the given context, we analyze the surrounding text:

- The passage discusses the influence of "New Math" on American textbooks and teaching methods, leading to poor math test performance among American students.
- It mentions students who "cannot add or subtract 'learning' the conceptual basis of mathematical theory."
- The context revolves around educational practices, student performance, and the acquisition of mathematical knowledge.

Given this context, the most appropriate sense is the one related to the process of acquiring knowledge or skills through education, specifically in the realm of mathematics. This aligns with:

**Sense 1: gain knowledge or skills**
- Definition: gain knowledge or skills
- Synonyms: larn, acquire
- Examples: She learned dancing from her sister; I learned Sanskrit

This sense directly relates to the educational process described, where students are supposed to learn mathematical concepts but are failing due to flawed teaching methods.

Therefore, the best indexed sense for "learning" in this context is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: basis
Target surface form: basis
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual <t>basis</t> of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=basis%1:24:00:: | definition=a relation that provides the foundation for something | synonyms=footing, ground | examples=they were on a friendly footing; he worked on an interim basis
2. sense_key=basis%1:09:00:: | definition=the fundamental assumptions from which something is begun or developed or calculated or explained | synonyms=base, foundation, fundament, groundwork, cornerstone | examples=the whole argument rested on a basis of conjecture
3. sense_key=basis%1:24:01:: | definition=the most important or necessary part of something | synonyms=base | examples=the basis of this drink is orange juice

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The sentence "They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests... is the influence of the 'New Math' on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who cannot add or subtract 'learning' the conceptual **basis** of mathematical theory -- should read the article..." clearly uses "basis" to refer to the underlying fundamental concept or principle upon which the mathematical theory is taught. This aligns with the definition of "basis" as "the fundamental assumptions from which something is begun or developed or calculated or explained," which is captured by sense_key **basis%1:09:00::**.

Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: mathematical
Target surface form: mathematical
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of <t>mathematical</t> theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=mathematical%3:01:00:: | definition=of or pertaining to or of the nature of mathematics | examples=a mathematical textbook; slide rules and other mathematical instruments
2. sense_key=mathematical%3:00:00:: | definition=relating to or having ability to think in or work with numbers | synonyms=numerical | examples=tests for rating numerical aptitude; a mathematical whiz
3. sense_key=mathematical%5:00:00:unquestionable:00 | definition=beyond question | examples=a mathematical certainty
4. sense_key=mathematical%5:00:00:possible:00 | definition=statistically possible though highly improbable | examples=have a mathematical chance of making the playoffs
5. sense_key=mathematical%5:00:00:exact:00 | definition=characterized by the exactness or precision of mathematics | examples=mathematical precision

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses American students' poor performance in math tests compared to students from other countries, specifically attributing this to the influence of the "New Math" on American textbooks and teaching methods. The phrase "learning the conceptual basis of **mathematical** theory" refers to the foundational, theoretical aspects of mathematics itself, rather than numerical ability or any of the other senses listed.

Therefore, the most appropriate sense is:

- **Sense 1:** "of or pertaining to or of the nature of mathematics"

This sense aligns with the context's focus on the theoretical underpinnings of mathematics.

**Answer:** {"sense_index": 1}


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: read
Target surface form: read
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should <t>read</t> the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=read%2:31:00:: | definition=interpret something that is written or printed | examples=read the advertisement; Have you read Salman Rushdie?
2. sense_key=read%2:42:00:: | definition=have or contain a certain wording or form | synonyms=say | examples=The passage reads as follows; What does the law say?
3. sense_key=read%2:31:01:: | definition=look at, interpret, and say out loud something that is written or printed | examples=The King will read the proclamation at noon
4. sense_key=read%2:31:06:: | definition=obtain data from magnetic tapes | synonyms=scan | examples=This dictionary can be read by the computer
5. sense_key=read%2:31:02:: | definition=interpret the significance of, as of palms, tea leaves, intestines, the sky; also of human behavior | examples=She read the sky and predicted rain; I can't read his strange behavior
6. sense_key=read%2:31:09:: | definition=interpret something in a certain way; convey a particular meaning or impression | synonyms=take | examples=I read this address as a satire; How should I take this message?
7. sense_key=read%2:31:05:: | definition=be a student of a certain subject | synonyms=learn, study, take | examples=She is reading for the bar exam
8. sense_key=read%2:32:02:: | definition=indicate a certain reading; of gauges and instruments | synonyms=register, show, record | examples=The thermometer showed thirteen degrees below zero; The gauge read `empty'
9. sense_key=read%2:36:05:: | definition=audition for a stage role by reading parts of a role | examples=He is auditioning for `Julius Caesar' at Stratford this year
10. sense_key=read%2:31:08:: | definition=to hear and understand | examples=I read you loud and clear!
11. sense_key=read%2:31:04:: | definition=make sense of a language | synonyms=understand, interpret, translate | examples=She understands French; Can you read Greek?

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
To determine the best sense for "read" in the given context, we analyze the sentence:

> "Anyone who wants to appreciate just how bizarre this situation is — with students who can not add or subtract 'learning' the conceptual basis of mathematical theory — should **read** the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator."

**Contextual Analysis:**
- The phrase "should read the article" implies an action of perceiving and interpreting the content of the article.
- The purpose is to gain understanding or appreciation of the described situation by examining the article.
- The context does not involve any technical or non-linguistic reading (e.g., scanning magnetic tapes, interpreting palms, or understanding a language).

**Sense Evaluation:**
1. **sense_key=read%2:31:00::** - Interpret something that is written or printed. This matches the act of perusing an article to understand its content.
2. **sense_key=read%2:31:01::** - Look at, interpret, and say out loud something that is written or printed. This is a more specific version of sense 1, involving vocalization, which is not indicated in the context.
3. **sense_key=read%2:31:06::** - Obtain data from magnetic tapes. Irrelevant to the context.
4. **sense_key=read%2:31:02::** - Interpret the significance of non-verbal cues. Irrelevant.
5. **sense_key=read%2:31:09::** - Interpret something in a certain way; convey a particular meaning or impression. While related, it is broader and less specific than the direct act of reading an article.
6. **sense_key=read%2:31:05::** - Be a student of a certain subject. Irrelevant.
7. **sense_key=read%2:32:02::** - Indicate a certain reading; of gauges and instruments. Irrelevant.
8. **sense_key=read%2:36:05::** - Audition for a stage role by reading parts of a role. Irrelevant.
9. **sense_key=read%2:31:08::** - To hear and understand. Not applicable as the context involves reading a written article, not auditory comprehension.
10. **sense_key=read%2:31:04::** - Make sense of a language. While related to understanding, it is too broad and does not specifically address reading an article.
11. **sense_key=read%2:31:00::** - Interpret something that is written or printed. This directly aligns with the act of reading an article to understand its content.

**Conclusion:**
The most appropriate sense is **sense_key=read%2:31:00::**, which means "interpret something that is written or printed." This sense precisely captures the action of reading the article to gain understanding.

**Final JSON Response:**
```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: article
Target surface form: article
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the <t>article</t> by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=article%1:10:00:: | definition=nonfictional prose forming an independent part of a publication
2. sense_key=article%1:03:00:: | definition=one of a class of artifacts | examples=an article of clothing
3. sense_key=article%1:10:02:: | definition=a separate section of a legal document (as a statute or contract or will) | synonyms=clause
4. sense_key=article%1:10:01:: | definition=(grammar) a determiner that may indicate the specificity of reference of a noun phrase

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "the <t>article</t> by Caleb Nelson in the November American Spectator," which clearly indicates a piece of nonfiction prose published as an independent part of a magazine or journal. This aligns with the definition of an "article" as nonfictional prose forming an independent part of a publication.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: recent
Target surface form: recent
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a <t>recent</t> math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=recent%5:00:00:new:00 | definition=new | examples=recent graduates; a recent addition to the house
2. sense_key=recent%5:00:00:past:00 | definition=of the immediate past or just previous to the present time | synonyms=late | examples=a late development; their late quarrel

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "a <t>recent</t> math major at Harvard," indicating that the individual is a math major who has recently completed or is very recently enrolled at Harvard. This aligns with the sense of "recent" meaning "new" or "having occurred or been done in the near past." The synonym "late" in the second sense pertains more to something that occurred just before the present time, which does not fit as well here. The example "recent graduates" supports the "new" interpretation.

Therefore, the best indexed sense is the one defined as "new" with the example "recent graduates."

The sense key for this definition is 1.

Thus, the JSON response is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: major
Target surface form: major
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math <t>major</t> at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=major%1:18:00:: | definition=a commissioned military officer in the United States Army or Air Force or Marines; below lieutenant colonel and above captain
2. sense_key=major%1:18:02:: | definition=British statesman who was prime minister from 1990 until 1997 (born in 1943) | synonyms=John Major, John R. Major, John Roy Major
3. sense_key=major%1:18:01:: | definition=a university student who is studying a particular field as the principal subject | examples=she is a linguistics major
4. sense_key=major%1:09:00:: | definition=the principal field of study of a student at a university | examples=her major is linguistics

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "a recent math <t>major</t> at Harvard," indicating that the word "major" is used to denote a student's principal field of study at a university. This aligns with the sense describing a university student specializing in a particular subject. Therefore, the best indexed sense is:

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: most
Target surface form: Most
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- <t>Most</t> important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=most%4:02:00:: | definition=used to form the superlative | synonyms=to the highest degree | examples=the king cobra is the most dangerous snake
2. sense_key=most%4:02:01:: | definition=very | examples=a most welcome relief
3. sense_key=most%4:02:02:: | definition=(of actions or states) slightly short of or not quite accomplished; all but | synonyms=about, almost, nearly, near, nigh, virtually | examples=the job is (just) about done; the baby was almost asleep when the alarm sounded

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context of the sentence is discussing the importance of school principals having authority, and it states that "Most important of all, schools should have principals with a large measure of authority..." Here, "most" is used to indicate the highest degree of importance among the points being made, which aligns with the definition of "most" as "used to form the superlative" or "to the highest degree." The other senses (very, and "all but") do not fit the context as well.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: important
Target surface form: important
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most <t>important</t> of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=important%3:00:00:: | definition=of great significance or value | synonyms=of import | examples=important people; the important questions of the day
2. sense_key=important%3:00:04:: | definition=important in effect or meaning | synonyms=significant | examples=a significant change in tax laws; a significant change in the Constitution
3. sense_key=important%3:00:02:: | definition=of extreme importance; vital to the resolution of a crisis | synonyms=crucial | examples=a crucial moment in his career; a crucial election
4. sense_key=important%5:00:00:influential:00 | definition=having authority or ascendancy or influence | synonyms=authoritative | examples=an important official; the captain's authoritative manner
5. sense_key=important%5:00:00:immodest:02 | definition=having or suggesting a consciousness of high position | examples=recited the decree with an important air; took long important strides in the direction of his office

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context emphasizes the critical role of school principals in ensuring effective education, stating that "Most **important** of all, schools should have principals with a large measure of authority..." This highlights the word's use to denote something of extreme importance, vital to resolving the issue of educational quality. Among the candidate senses, this aligns best with:

- **sense_key=important%3:00:02::** definition=of extreme importance; vital to the resolution of a crisis | synonyms=crucial | examples=a crucial moment in his career; a crucial election

Therefore, the best indexed sense is sense 3.

```json
{"sense_index": 3}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: school
Target surface form: schools
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, <t>schools</t> should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=school%1:14:00:: | definition=an educational institution | examples=the school was founded in 1900
2. sense_key=school%1:06:00:: | definition=a building where young people receive education | synonyms=schoolhouse | examples=the school was built in 1932; he walked to school every morning
3. sense_key=school%1:09:00:: | definition=the process of being formally educated at a school | synonyms=schooling | examples=what will you do when you finish school?
4. sense_key=school%1:14:02:: | definition=a body of creative artists or writers or thinkers linked by a similar style or by similar teachers | examples=the Venetian school of painting
5. sense_key=school%1:28:00:: | definition=the period of instruction in a school; the time period when school is in session | synonyms=schooltime, school day | examples=stay after school; he didn't miss a single day of school
6. sense_key=school%1:14:03:: | definition=an educational institution's faculty and students | examples=the school keeps parents informed; the whole school turned out for the game
7. sense_key=school%1:14:01:: | definition=a large group of fish | synonyms=shoal | examples=a school of small glittering fish swam by

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses principals' authority, faculty, curriculum, and student discipline within educational institutions, referring to the collective of teachers and students in those institutions. This aligns with the sense describing "an educational institution's faculty and students." Therefore, the best indexed sense is:

```json
{"sense_index": 6}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: principal
Target surface form: principals
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have <t>principals</t> with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=principal%1:21:01:: | definition=the original amount of a debt on which interest is calculated
2. sense_key=principal%1:18:00:: | definition=the educator who has executive authority for a school | synonyms=school principal, head teacher, head | examples=she sent unruly pupils to see the principal
3. sense_key=principal%1:18:01:: | definition=an actor who plays a principal role | synonyms=star, lead
4. sense_key=principal%1:21:02:: | definition=capital as contrasted with the income derived from it | synonyms=corpus, principal sum
5. sense_key=principal%1:18:03:: | definition=(criminal law) any person involved in a criminal offense, regardless of whether the person profits from such involvement
6. sense_key=principal%1:18:02:: | definition=the major party to a financial transaction at a stock exchange; buys and sells for his own account | synonyms=dealer

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses "schools should have <t>principals</t> with a large measure of authority over the faculty, the curriculum, and all matters of student discipline," which clearly refers to the head of a school. This aligns with the definition of a "school principal" or "head teacher." Therefore, the best indexed sense is:

```json
{"sense_index": 2}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: measure
Target surface form: measure
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large <t>measure</t> of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=measure%1:04:01:: | definition=any maneuver made as part of progress toward a goal | synonyms=step | examples=the situation called for strong measures; the police took steps to reduce crime
2. sense_key=measure%1:03:00:: | definition=how much there is or how many there are of something that you can quantify | synonyms=quantity, amount
3. sense_key=measure%1:10:02:: | definition=a statute in draft before it becomes law | synonyms=bill | examples=they held a public hearing on the bill
4. sense_key=measure%1:04:00:: | definition=the act or process of assigning numbers to phenomena according to a rule | synonyms=measurement, measuring, mensuration | examples=the measurements were carefully done; his mental measurings proved remarkably accurate
5. sense_key=measure%1:10:03:: | definition=a basis for comparison; a reference point against which other things can be evaluated | synonyms=standard, criterion, touchstone | examples=the schools comply with federal standards; they set the measure for all subsequent work
6. sense_key=measure%1:10:01:: | definition=(prosody) the accent in a metrical foot of verse | synonyms=meter, metre, beat, cadence
7. sense_key=measure%1:10:00:: | definition=musical notation for a repeating pattern of musical beats | synonyms=bar | examples=the orchestra omitted the last twelve bars of the song
8. sense_key=measure%1:06:00:: | definition=measuring instrument having a sequence of marks at regular intervals; used as a reference in making measurements | synonyms=measuring stick, measuring rod
9. sense_key=measure%1:06:01:: | definition=a container of some standard capacity that is used to obtain fixed amounts of a substance

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context discusses the importance of giving school principals "a large <t>measure</t> of authority." This implies a degree or extent of authority, which aligns with the sense of "a basis for comparison; a reference point against which other things can be evaluated." Therefore, the best indexed sense is:

```json
{"sense_index": 5}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: authority
Target surface form: authority
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of <t>authority</t> over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=authority%1:07:00:: | definition=the power or right to give orders or make decisions | synonyms=authorization, authorisation, potency, dominance, say-so | examples=he has the authority to issue warrants; deputies are given authorization to make arrests
2. sense_key=authority%1:18:01:: | definition=(usually plural) persons who exercise (administrative) control over others | examples=the authorities have issued a curfew
3. sense_key=authority%1:18:00:: | definition=an expert whose views are taken as definitive | examples=he is an authority on corporate law
4. sense_key=authority%1:09:00:: | definition=freedom from doubt; belief in yourself and your abilities | synonyms=assurance, self-assurance, confidence, self-confidence, sureness | examples=his assurance in his superiority did not make him popular; after that failure he lost his confidence
5. sense_key=authority%1:14:00:: | definition=an administrative unit of government | synonyms=agency, federal agency, government agency, bureau, office | examples=the Central Intelligence Agency; the Census Bureau
6. sense_key=authority%1:07:02:: | definition=official permission or approval | synonyms=authorization, authorisation, sanction | examples=authority for the program was renewed several times
7. sense_key=authority%1:10:00:: | definition=an authoritative written work | examples=this book is the final authority on the life of Milton

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context describes the need for school principals to have "a large measure of <t>authority</t> over the faculty, the curriculum, and all matters of student discipline." This usage emphasizes the power and right to make decisions and control within an educational setting, which aligns closely with the definition of **authority** as "the power or right to give orders or make decisions." Among the candidate senses, this corresponds to sense_key=authority%1:07:00::.

Therefore, the best indexed sense is:

```json
{"sense_index": 1}
```


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: faculty
Target surface form: faculty
Context:
-- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the <t>faculty</t>, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=faculty%1:09:00:: | definition=one of the inherent cognitive or perceptual powers of the mind | synonyms=mental faculty, module
2. sense_key=faculty%1:14:00:: | definition=the body of teachers and administrators at a school | synonyms=staff | examples=the dean addressed the letter to the entire staff of the university

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output:
The context refers to "principals with a large measure of authority over the <t>faculty</t>, the curriculum, and all matters of student discipline." In this educational setting, "faculty" is used to denote the group of teachers and administrators, aligning with the definition of "the body of teachers and administrators at a school" and its synonym "staff." Therefore, the appropriate sense is the second one.

The sense index for the second candidate sense is 2.

Thus, the JSON response is:

{"sense_index": 2}