[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: desirable
Target surface form: desirable
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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 <t>desirable</t> 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.

Candidate senses:
1. sense_key=desirable%3:00:00:: | definition=worth having or seeking or achieving | examples=a desirable job; computer with many desirable features
2. sense_key=desirable%5:00:00:eligible:00 | definition=worthy of being chosen especially as a spouse | synonyms=suitable, worthy | examples=the parents found the girl suitable for their son

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}.

reasoning_content:
We are given the target word "desirable" in context. The sentence is: "It is generally <t>desirable</t> to use older textbooks -- many of them, alas, out of print -- rather than newer ones." The two candidate senses are:

1. sense_key=desirable%3:00:00:: | definition=worth having or seeking or achieving | examples=a desirable job; computer with many desirable features
2. sense_key=desirable%5:00:00:eligible:00 | definition=worthy of being chosen especially as a spouse | synonyms=suitable, worthy | examples=the parents found the girl suitable for their son

The context is about using older textbooks being generally desirable, meaning worth having or seeking. It is not about being a suitable spouse. The first sense fits perfectly: "worth having or seeking or achieving." The examples include "a desirable job" which is similar in structure. The second sense is specifically about being chosen as a spouse, which is not relevant here. So the best sense is sense 1.

Thus, answer: {"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: use
Target surface form: use
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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 <t>use</t> 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.

Candidate senses:
1. sense_key=use%2:34:01:: | definition=put into service; make work or employ for a particular purpose or for its inherent or natural purpose | synonyms=utilize, utilise, apply, employ | examples=use your head!; we only use Spanish at home
2. sense_key=use%2:34:02:: | definition=take or consume (regularly or habitually) | synonyms=habituate | examples=She uses drugs rarely
3. sense_key=use%2:34:00:: | definition=use up, consume fully | synonyms=expend | examples=The legislature expended its time on school questions
4. sense_key=use%2:41:14:: | definition=seek or achieve an end by using to one's advantage | examples=She uses her influential friends to get jobs; The president's wife used her good connections
5. sense_key=use%2:41:04:: | definition=avail oneself to | synonyms=practice, apply | examples=apply a principle; practice a religion
6. sense_key=use%2:41:03:: | definition=habitually do something (use only in the past tense) | examples=She used to call her mother every week but now she calls only occasionally; I used to get sick when I ate in that dining hall

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}.

finish_reason: stop

role: assistant

reasoning_content:
We need to choose the best sense for "use" in the context: "It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones."

The candidate senses are given. Let's examine each:

1. use%2:34:01:: - "put into service; make work or employ for a particular purpose or for its inherent or natural purpose". This is the most general sense of employing something. In the context, we are using textbooks for education. This fits well.

2. use%2:34:02:: - "take or consume (regularly or habitually)". Examples: "She uses drugs rarely". This implies consumption or habitual intake. Not appropriate for textbooks.

3. use%2:34:00:: - "use up, consume fully". Synonyms: expend. This implies depleting a resource. Not appropriate here.

4. use%2:41:14:: - "seek or achieve an end by using to one's advantage". Examples involve using connections. This has a connotation of exploiting for personal gain. Not the main sense here.

5. use%2:41:04:: - "avail oneself to". Synonyms: practice, apply. Examples: "apply a principle; practice a religion". This is more about applying a method or principle. Could fit if "use textbooks" means "apply them", but it's a bit formal.

6. use%2:41:03:: - "habitually do something (use only in the past tense)". This is about 'used to' as a past habitual action. The context has "to use" (infinitive), not past tense. So not.

Clearly sense 1 is the most straightforward: using older textbooks as tools. The context says "use older textbooks" meaning employ them for the purpose of education. No indication of consumption or exploitation. So sense index 1.

Thus answer: {"sense_index": 1}

format: unknown

native_finish_reason: stop

provider: Parasail

currency: USD


[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: rather
Target surface form: rather
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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 -- <t>rather</t> than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial.

Candidate senses:
1. sense_key=rather%4:02:02:: | definition=on the contrary | synonyms=instead | examples=rather than disappoint the children, he did two quick tricks before he left; he didn't call; rather (or instead), he wrote her a letter
2. sense_key=rather%4:02:04:: | definition=to some (great or small) extent | synonyms=kind of, kinda, sort of | examples=it was rather cold; the party was rather nice
3. sense_key=rather%4:02:01:: | definition=more readily or willingly | synonyms=preferably, sooner | examples=clean it well, preferably with warm water; I'd rather be in Philadelphia
4. sense_key=rather%4:02:00:: | definition=to a degree (not used with a negative) | synonyms=quite | examples=quite tasty; quite soon

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}.

reasoning_content: We are given a sentence: "It is generally desirable to use older textbooks -- many of them, alas, out of print -- <t>rather</t> than newer ones." The target word is "rather" used in a comparative construction "rather than". This indicates a preference or alternative. Sense 3 is "more readily or willingly" with synonyms "preferably, sooner" and examples like "I'd rather be in Philadelphia". This matches the usage "rather than" indicating preference. Sense 1 "on the contrary" is used as a conjunctive adverb meaning "instead", but "rather than" is a fixed phrase for preference or alternative. Sense 2 and 4 are about degree. So sense 3 is correct.


[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: new
Target surface form: newer
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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 <t>newer</t> ones. The latter are modish, trendy, often downright silly, and at best insubstantial.

Candidate senses:
1. sense_key=new%3:00:00:: | definition=not of long duration; having just (or relatively recently) come into being or been made or acquired or discovered | examples=a new law; new cars
2. sense_key=new%5:00:00:original:00 | definition=original and of a kind not seen before | synonyms=fresh, novel | examples=the computer produced a completely novel proof of a well-known theorem
3. sense_key=new%5:00:00:inexperienced:00 | definition=lacking training or experience | synonyms=raw | examples=the new men were eager to fight; raw recruits
4. sense_key=new%5:00:00:unprecedented:00 | definition=having no previous example or precedent or parallel | synonyms=unexampled | examples=a time of unexampled prosperity
5. sense_key=new%5:00:00:other:00 | definition=other than the former one(s); different | examples=they now have a new leaders; my new car is four years old but has only 15,000 miles on it
6. sense_key=new%3:00:09:: | definition=unaffected by use or exposure | examples=it looks like new
7. sense_key=new%5:00:02:original:00 | definition=(of a new kind or fashion) gratuitously new | synonyms=newfangled | examples=newfangled ideas; she buys all these new-fangled machines and never uses them
8. sense_key=new%5:00:02:late:01 | definition=in use after medieval times | examples=New Eqyptian was the language of the 18th to 21st dynasties
9. sense_key=new%5:00:01:late:01 | definition=used of a living language; being the current stage in its development | synonyms=Modern | examples=Modern English; New Hebrew is Israeli Hebrew
10. sense_key=new%5:00:00:early:02 | definition=(of crops) harvested at an early stage of development; before complete maturity | synonyms=young | examples=new potatoes; young corn
11. sense_key=new%5:00:00:unaccustomed:00 | definition=unfamiliar | examples=new experiences; experiences new to him

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}.

reasoning_content:
We are given the target lemma "new" in the surface form "newer". The context is: "It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than <t>newer</t> ones. The latter are modish, trendy, often downright silly, and at best insubstantial."

We need to choose the best sense from the candidate senses. The context contrasts "older textbooks" with "newer ones", and describes the newer ones as "modish, trendy, often downright silly, and at best insubstantial." This suggests that "newer" here refers to textbooks that are recently published or of recent origin, but with a negative connotation of being fashionable but not substantial.

Let's examine the senses:

1. sense_key=new%3:00:00:: | definition=not of long duration; having just (or relatively recently) come into being or been made or acquired or discovered | examples=a new law; new cars. This seems straightforward: new in terms of recent origin. The context is about textbooks that are newer (more recent) compared to older ones. This fits well.

2. sense_key=new%5:00:00:original:00 | definition=original and of a kind not seen before | synonyms=fresh, novel | examples=the computer produced a completely novel proof of a well-known theorem. This sense emphasizes originality and novelty. The context does not emphasize that the newer textbooks are original or novel; rather, they are modish and trendy, which might imply they are following current fashions, not necessarily original. So this is less fitting.

3. sense_key=new%5:00:00:inexperienced:00 | definition=lacking training or experience | synonyms=raw | examples=the new men were eager to fight; raw recruits. This sense is about people lacking experience. Textbooks are not people, so this is not appropriate.

4. sense_key=new%5:00:00:unprecedented:00 | definition=having no previous example or precedent or parallel | synonyms=unexampled | examples=a time of unexampled prosperity. This sense emphasizes no precedent. The newer textbooks are not necessarily unprecedented; they are just more recent. Not fitting.

5. sense_key=new%5:00:00:other:00 | definition=other than the former one(s); different | examples=they now have a new leaders; my new car is four years old but has only 15,000 miles on it. This sense means different from the previous one. In the context, "newer" is contrasted with "older", but it's not about being different in kind; it's about being more recent. Also, the example "my new car is four years old" shows that "new" can mean "different" even if not recent. But here, the textbooks are described as modish and trendy, which suggests they are recent, not just different. So sense 5 is possible but less precise.

6. sense_key=new%3:00:09:: | definition=unaffected by use or exposure | examples=it looks like new. This sense means in pristine condition. The context does not talk about the condition of the textbooks; it's about their content being modish. So not fitting.

7. sense_key=new%5:00:02:original:00 | definition=(of a new kind or fashion) gratuitously new | synonyms=newfangled | examples=newfangled ideas; she buys all these new-fangled machines and never uses them. This sense has a negative connotation: "gratuitously new" and "newfangled". The context describes the newer textbooks as "modish, trendy, often downright silly, and at best insubstantial." This aligns well with the idea of being gratuitously new or newfangled. The example "newfangled ideas" matches the tone. So sense 7 is a strong candidate.

8. sense_key=new%5:00:02:late:01 | definition=in use after medieval times | examples=New Eqyptian was the language of the 18th to 21st dynasties. This is a historical period sense, not relevant.

9. sense_key=new%5:00:01:late:01 | definition=used of a living language; being the current stage in its development | synonyms=Modern | examples=Modern English; New Hebrew is Israeli Hebrew. This is about languages, not textbooks.

10. sense_key=new%5:00:00:early:02 | definition=(of crops) harvested at an early stage of development; before complete maturity | synonyms=young | examples=new potatoes; young corn. This is about crops, not textbooks.

11. sense_key=new%5:00:00:unaccustomed:00 | definition=unfamiliar | examples=new experiences; experiences new to him. This sense means unfamiliar. The newer textbooks might be unfamiliar to the reader, but the context emphasizes their trendiness and insubstantiality, not just unfamiliarity.

Now, between sense 1 and sense 7: Sense 1 is a general sense of recent origin. Sense 7 specifically adds a negative connotation of being gratuitously new or newfangled. The context clearly has a negative tone: "modish, trendy, often downright silly, and at best insubstantial." This matches the "gratuitously new" aspect. Also, the phrase "newer ones" is used in contrast to "older textbooks" which are considered desirable. The author is criticizing the newer textbooks for being fashionable but lacking substance. Therefore, sense 7 seems more precise.

However, we must consider that WordNet senses are often hierarchical. Sense 1 is the most general, and sense 7 is a more specific subsense (it is a derived adjective with a particular nuance). The context strongly suggests the negative connotation, so sense 7 is the best.

Thus, the answer should be sense index 7.

But let's double-check the sense keys: sense 7 is "new%5:00:02:original:00" with definition "(of a new kind or fashion) gratuitously new" and synonyms "newfangled". That fits perfectly.

Therefore, the JSON output should be {"sense_index": 7}.

provider: Cloudflare


[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: one
Target surface form: ones
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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 <t>ones</t>. The latter are modish, trendy, often downright silly, and at best insubstantial.

Candidate senses:
1. sense_key=one%1:23:00:: | definition=the smallest whole number or a numeral representing this number | synonyms=1, I, ace, single, unity | examples=he has the one but will need a two and three to go with it; they had lunch at one
2. sense_key=one%1:09:00:: | definition=a single person or thing | examples=he is the best one; this is the one I ordered

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}.

reasoning_content: We need to choose the best sense for "ones" in the context. The context: "It is generally desirable to use older textbooks ... rather than newer <t>ones</t>." Here "ones" refers to textbooks, i.e., "newer ones" means "newer textbooks". So it is a plural pronoun referring to a thing. Sense 2: "a single person or thing" - but this is plural "ones". Sense 1 is about the number one. Clearly, the meaning is not the number. So sense 2 is correct. The sense index is 2.

provider: DigitalOcean


[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: often
Target surface form: often
Context:
This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. 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, <t>often</t> downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience.

Candidate senses:
1. sense_key=often%4:02:00:: | definition=many times at short intervals | synonyms=frequently, oftentimes, oft, ofttimes | examples=we often met over a cup of coffee
2. sense_key=often%4:02:01:: | definition=frequently or in great quantities | synonyms=much, a great deal | examples=I don't drink much; I don't travel much
3. sense_key=often%4:02:02:: | definition=in many cases or instances

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}.

reasoning_content:
We are given the target word "often" in context. The sentence is: "The latter are modish, trendy, <t>often</t> downright silly, and at best insubstantial." The context is about newer textbooks being modish, trendy, often downright silly, and insubstantial. The word "often" here means "in many cases" or "frequently." Let's examine the three senses:

1. sense_key=often%4:02:00:: | definition=many times at short intervals | synonyms=frequently, oftentimes, oft, ofttimes | examples=we often met over a cup of coffee. This sense emphasizes repeated occurrences over short intervals. In the context, "often" is not necessarily about short intervals but about a general tendency.

2. sense_key=often%4:02:01:: | definition=frequently or in great quantities | synonyms=much, a great deal | examples=I don't drink much; I don't travel much. This sense is more about quantity or degree, often used with verbs like "drink" or "travel." In the context, "often" modifies "downright silly" which is an adjective phrase, not a verb of quantity. So this sense doesn't fit well.

3. sense_key=often%4:02:02:: | definition=in many cases or instances. This sense is about general frequency or occurrence in many cases. The context "often downright silly" means that in many cases, these textbooks are downright silly. This matches perfectly.

Thus, the best sense is sense 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: dubious
Target surface form: dubious
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 <t>dubious</t> 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.

Candidate senses:
1. sense_key=dubious%5:00:00:uncertain:02 | definition=fraught with uncertainty or doubt | synonyms=doubtful | examples=they were doubtful that the cord would hold; it was doubtful whether she would be admitted
2. sense_key=dubious%5:00:00:questionable:00 | definition=open to doubt or suspicion; ; ; ; - Karen Horney | synonyms=doubtful, dubitable, in question | examples=the candidate's doubtful past; he has a dubious record indeed
3. sense_key=dubious%5:00:00:unconvinced:00 | definition=not convinced | examples=they admitted the force of my argument but remained dubious

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}.

reasoning_content: We need to choose the best sense for "dubious" in the context. The sentence: "They are based on dubious psychological and sociological theories rather than on educational experience." The theories are of questionable validity, open to doubt or suspicion. Sense 2 is "open to doubt or suspicion" with synonyms doubtful, dubitable, in question. That fits. Sense 1 is "fraught with uncertainty or doubt" which is similar but more about uncertainty, not necessarily suspicion. Sense 3 is "not convinced" referring to a person's state. Here "dubious" modifies theories, not a person. So sense 2 is best.

provider: DeepInfra


[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: psychological
Target surface form: psychological
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 <t>psychological</t> 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.

Candidate senses:
1. sense_key=psychological%5:00:00:mental:00 | definition=mental or emotional as opposed to physical in nature | examples=give psychological support; psychological warfare
2. sense_key=psychological%3:01:00:: | definition=of or relating to or determined by psychology | examples=psychological theories

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}.

reasoning_content: We need to choose between sense 1 and sense 2. The context: "They are based on dubious psychological and sociological theories rather than on educational experience." The phrase "psychological theories" refers to theories from the field of psychology, so sense 2 seems appropriate: "of or relating to or determined by psychology". Sense 1 is about mental/emotional vs physical, but here it's explicitly about theories, which are academic. So sense 2.

provider: StreamLake


[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: rather
Target surface form: rather
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 <t>rather</t> 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.

Candidate senses:
1. sense_key=rather%4:02:02:: | definition=on the contrary | synonyms=instead | examples=rather than disappoint the children, he did two quick tricks before he left; he didn't call; rather (or instead), he wrote her a letter
2. sense_key=rather%4:02:04:: | definition=to some (great or small) extent | synonyms=kind of, kinda, sort of | examples=it was rather cold; the party was rather nice
3. sense_key=rather%4:02:01:: | definition=more readily or willingly | synonyms=preferably, sooner | examples=clean it well, preferably with warm water; I'd rather be in Philadelphia
4. sense_key=rather%4:02:00:: | definition=to a degree (not used with a negative) | synonyms=quite | examples=quite tasty; quite soon

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}.

reasoning_content:
We are given the target word "rather" in context: "They are based on dubious psychological and sociological theories <t>rather</t> than on educational experience." The context shows a contrast: theories are based on dubious theories rather than on educational experience. This indicates a meaning of "rather" as indicating contrast or preference, comparable to "instead of" or "but not". Let's examine the candidate senses:

1. sense_key=rather%4:02:02:: | definition=on the contrary | synonyms=instead | examples=rather than disappoint the children, he did two quick tricks before he left; he didn't call; rather (or instead), he wrote her a letter

2. sense_key=rather%4:02:04:: | definition=to some (great or small) extent | synonyms=kind of, kinda, sort of | examples=it was rather cold; the party was rather nice

3. sense_key=rather%4:02:01:: | definition=more readily or willingly | synonyms=preferably, sooner | examples=clean it well, preferably with warm water; I'd rather be in Philadelphia

4. sense_key=rather%4:02:00:: | definition=to a degree (not used with a negative) | synonyms=quite | examples=quite tasty; quite soon

The context uses "rather than" to indicate a contrast, similar to the first sense "on the contrary" or "instead". The third sense "more readily or willingly" is about preference (e.g., "I'd rather"), but here it's not about a personal preference but about a factual contrast. The fourth and second senses are about degree or extent, which don't fit. Therefore, the best sense is sense 1.

Thus the answer should be {"sense_index": 1}.

provider: SiliconFlow


[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: educational
Target surface form: educational
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 <t>educational</t> 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.

Candidate senses:
1. sense_key=educational%3:01:00:: | definition=relating to the process of education | examples=educational psychology
2. sense_key=educational%5:00:00:instructive:00 | definition=providing knowledge | examples=an educational film

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}.

reasoning_content: We are asked to choose the best sense for "educational" in the context: "They are based on dubious psychological and sociological theories rather than on educational experience." The word "educational" modifies "experience". The context is about textbooks and teaching methods. The two senses: 1) relating to the process of education; 2) providing knowledge. In the phrase "educational experience", it likely means experience related to education (the process of teaching/learning). The second sense "providing knowledge" is more about the quality of being instructive, like an educational film. Here, "educational experience" refers to experience in the field of education (pedagogical experience), not an experience that provides knowledge. So sense 1 is more appropriate. Thus answer {"sense_index": 1}.

provider: Morph


[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}.

reasoning_content: We are given the target word "experience" in the context: "They are based on dubious psychological and sociological theories rather than on educational <t>experience</t>." The word "experience" here refers to the practical knowledge or skill gained from direct involvement in educational activities, as opposed to theories. This aligns with sense 1: "the accumulation of knowledge or skill that results from direct participation in events or activities." Sense 2 is about the content of direct observation or participation in an event, but here it's more about accumulated knowledge, not a specific event. Sense 3 is about an event as apprehended, which also doesn't fit. Therefore, sense 1 is the best choice.

provider: Baidu


[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}.

reasoning_content:
We are given the target lemma "reason" with surface form "reasons" in the context. The context discusses why American students do poorly in math tests, attributing it to the influence of "New Math" on textbooks and teaching methods. The phrase "One of the reasons American students do so poorly..." refers to a cause or explanation for that phenomenon. Looking at the 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
4. sense_key=reason%1:26:00:: | definition=the state of having good sense and sound judgment | synonyms=rationality, reasonableness
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

The context uses "reasons" as a plural noun meaning causes or explanations for a phenomenon. Sense 2 is explicitly "an explanation of the cause of some phenomenon". Sense 5 is "a justification for something existing or happening" which is similar but more about justification. Sense 1 is about a rational motive, which is more about belief or action. Sense 6 is a fact that logically justifies a premise. Given the context, "One of the reasons American students do so poorly..." it is clearly pointing to a cause or explanation. Sense 2 seems most fitting because it matches "explanation of the cause of some phenomenon". Sense 5 could also work, but its example "they had good reason to rejoice" is more about justification for an action. Here it's about explaining why they do poorly, not justifying it. So sense 2 is best.

Thus, the answer is {"sense_index": 2}.

provider: Alibaba


[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}.

reasoning_content: We are given a target word "American" in a context about students doing poorly in math tests compared to British, French, German, or Japanese students. The context mentions "American textbooks", "American students", and "American Spectator". Clearly, this is referring to the United States of America. The sense 1 is "of or relating to the United States of America or its people or language or culture". Sense 2 is about the continents and islands of the Americas (i.e., North and South America). The context specifies comparison with other specific countries, so it's about the US. Thus sense 1 is correct. We need to return a JSON with sense_index. Since sense 1 is the first, answer should be {"sense_index": 1}.

provider: Novita


[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}.

reasoning_content: We need to choose between sense 1 and sense 2 for "students" in the given context. The context discusses students in math tests, comparing American students to British, French, German, Japanese students. It mentions "students who can not add or subtract". This clearly refers to learners enrolled in educational institutions, not learned scholars. So sense 1 is appropriate.

provider: Fireworks


[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}.

reasoning_content:
We are given the target word "so" in 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 modifies "poorly" and indicates the degree to which they do poorly. It is used to emphasize the extent of poor performance. Looking at the 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
This fits: "do so poorly" means "do very poorly" or "to a great extent". The context compares American students to others, emphasizing how poorly they do.

Other senses:
2. =in a manner that facilitates (no, not facilitating)
3. =in such a condition or manner (not exactly)
4. =to a certain unspecified extent (possible, but "so" here is more emphatic, not unspecified)
5. =in the same way; also (no)
6. =in the way indicated (no)
7. =(usually followed by `that') to an extent or degree as expressed (no "that" following)
8. =subsequently or soon afterward (no)
9. =therefore (no)
10. =in truth (no)

Thus, the best sense is sense 1 (index 1? Careful: The sense keys have indices like %4:02:02, but the candidate list is numbered 1 to 10. The instructions say "Return only a JSON object exactly like {"sense_index": 3}". So we need to output the index number from the list. The first sense in the list is index 1. But we must check if the index corresponds to the order given. The list shows 1. sense_key=so%4:02:02:: ... so that is sense index 1. However, in the instruction they say "{"sense_index": 3}" as an example. So we should output the number corresponding to the best sense. Here, sense 1 is best. But let's double-check: Is it "to a very great extent or degree"? Yes, "do so poorly" means "do extremely poorly". The example "the idea is so obvious" uses "so" similarly. So sense_index should be 1.

But wait: The context says "do so poorly" – it is not followed by "that", it's just an adverb modifying an adjective/adverb. Sense 1 is "to a very great extent or degree" which is exactly that. So 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: 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}.

reasoning_content: We are given the target lemma "compare" in surface form "compared" in the context: "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." The context is about comparing the performance of American students to students from other countries. The phrase "as compared with" indicates examining similarities or differences. This fits sense 1: "examine and note the similarities or differences of". Sense 2 is about being comparable (e.g., "this car does not compare with..."). Sense 3 is about considering or describing as similar, equal, or analogous, which often involves likening or equating. Sense 4 is about grammar (forming comparative/superlative). The context is about noting differences (American students do poorly in math tests compared with others). This is a straightforward comparison of differences. Sense 1 is the best fit. So sense_index should be 1.

provider: WandB


[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}.

reasoning_content: We are given: "target surface form: students" and context: "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." The target is "students". The two candidate senses: sense 1: "a learner who is enrolled in an educational institution" (pupil, educatee); sense 2: "a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines" (scholar, scholarly person, bookman). The context clearly refers to students in school taking math tests. They are learners enrolled in educational institutions. Sense 2 would refer to a learned person, which does not fit the context of doing poorly in math tests as compared to other countries' students. Therefore, the best sense is sense 1. So answer: {"sense_index": 1}.

provider: Io Net


[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}.

reasoning_content:
We need to choose the best sense for "influence" in the context. The context is about the "influence" of the "New Math" on American textbooks and teaching methods, causing poor math test performance. This is about the effect or impact of one thing on another. Let's examine each sense:

1. influence%1:07:00:: - "a power to affect persons or events especially power based on prestige etc" - This is about power or ability to affect, often social or political. The context is about an academic movement's effect, not necessarily prestige-based power.

2. influence%1:04:00:: - "causing something without any direct or apparent effort" - This is about indirect causation, but the context does not emphasize lack of effort; it's a direct effect.

3. influence%1:09:00:: - "a cognitive factor that tends to have an effect on what you do" - This is about a psychological or cognitive factor. "New Math" is a set of ideas, but it's more of a movement or method, not purely cognitive.

4. influence%1:19:00:: - "the effect of one thing (or person) on another" - This fits well: the effect of the New Math on American textbooks and teaching methods. Examples: "the influence of mechanical action" - similar structure.

5. influence%1:18:00:: - "one having power to influence another" - This is about a person or entity that has influence, e.g., "she was the most important influence." Here "influence" is not a person; it's the effect itself.

Thus sense 4 is most appropriate: the effect of one thing on another. The sentence: "the influence of the 'New Math' on American textbooks and teaching methods" directly matches that definition.

So answer: {"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: 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: We need to choose between sense 1 (US) and sense 2 (Americas). The context: "American students" and "American textbooks" comparing with British, French, German, Japanese students. That clearly refers to the United States, not the whole Americas. So sense_index 1.{"sense_index": 1}

provider: Wafer


[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}.

reasoning_content: We are given a target word "wants" in the context: "Anyone who wants to appreciate just how bizarre this situation is ...". The sense is about desiring to do something. The first sense (want%2:37:00::) is "feel or have a desire for; want strongly" with examples like "I want to go home now". That fits perfectly: "anyone who wants to appreciate" means anyone who desires to appreciate. The other senses don't fit: sense 2 is "have need of" (this piano wants attention), sense 3 is "hunt or look for" (wanted by FBI), sense 4 is "wish or demand the presence of" (I want you here), sense 5 is "be without, lack" (want courtesy). So the best is sense 1. Thus {"sense_index": 1}.

provider: GMICloud


[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}.

reasoning_content: We need to choose the best sense for "appreciate" in the context. The context: "Anyone who wants to <t>appreciate</t> just how bizarre this situation is ... should read the article ..." Here, "appreciate" means to fully understand or realize the bizarre nature. That matches sense 2: "be fully aware of; realize fully". Sense 1 is about gratitude, sense 3 is about valuing, sense 4 and 5 are about financial increase. So sense_index 2.

provider: AkashML


[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}.

reasoning_content:
We are given the target lemma "just" in the context: "Anyone who wants to appreciate <t>just</t> how bizarre this situation is ..." The candidate senses are listed. The word "just" here is used to mean "exactly" or "precisely" (as in "just how bizarre"). That matches sense 2: "indicating exactness or preciseness" with synonyms "precisely, exactly". Sense 1 is "and nothing more" which doesn't fit because it's not minimizing but emphasizing exactness. Sense 3 is temporal (a moment ago) which doesn't fit. Sense 4 is "absolutely" which is close but not exact; "absolutely" is more emphatic, but the context uses "just" to mean "exactly". Sense 5 is "barely/hardly" which is opposite. Sense 6 is "exactly at this moment" which is temporal. So sense 2 is the best.

Thus output 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:
We are asked to perform WSD on the target lemma "situation" in the given context. The context describes a bizarre situation where students who can't add or subtract are "learning" the conceptual basis of mathematical theory. This is described as "bizarre" and a "situation". The candidate senses are:

1. the general state of things; combination of circumstances at a given time
2. a condition or position in which you find yourself
3. a complex or critical or unusual difficulty
4. physical position in relation to surroundings
5. a job in an organization

The context talks about the absurdity of teaching conceptual math to students who lack basic skills. This is presented as a "bizarre" situation, which aligns with sense 3: "a complex or critical or unusual difficulty." Also, the example for sense 3 includes "the dangerous situation developed suddenly" and "that's quite a situation," which fits the tone of something unusual or problematic. Sense 1 is more general for "state of affairs," but here it's specifically highlighting the oddity. Sense 2 is about a condition or position, but the context emphasizes the unusual nature. Sense 4 and 5 are irrelevant. Thus, sense 3 is best.{"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}.

reasoning_content: We need to choose the best sense for "students" in the given context. The context discusses students doing poorly in math tests, comparing American students to others, and mentions students who cannot add or subtract. This clearly refers to learners enrolled in educational institutions, not to learned persons who have mastered disciplines. So sense 1 is the correct one.


[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}.

reasoning_content: We are given the target lemma "add" in the context: "students who cannot add or subtract". The context clearly refers to basic arithmetic operations. Among the candidate senses, sense 4 is "make an addition by combining numbers" with example "Add 27 and 49, please!" and sense 5 is "determine the sum of" with example "Add all the people in this town to those of the neighboring town". Both are about arithmetic addition. However, sense 4 specifically says "make an addition by combining numbers" and sense 5 says "determine the sum of". In the phrase "cannot add or subtract", "add" is used as a basic arithmetic operation, typically meaning to combine numbers to find a sum. Sense 4 seems more directly about the operation of adding numbers. Sense 5 is more about summing up a collection. The context is about math tests and "New Math", so it's about basic arithmetic. Therefore, sense 4 is the best fit. Sense 1 is about joining or combining in a general sense, not specifically arithmetic. So I choose 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}.

reasoning_content: We need to choose between sense 1 and sense 2 for "subtract" in the context: "students who cannot add or subtract". The context is about basic arithmetic: adding and subtracting. Sense 1 is "make a subtraction" with synonyms deduct, take off, and example "subtract this amount from my paycheck". Sense 2 is "take off or away" with example "this prefix was subtracted when the word was borrowed from French". Clearly, the context of basic math operations (add or subtract) matches sense 1, which is the arithmetic operation. Sense 2 is more about removal in a linguistic or abstract sense. Therefore, sense_index is 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}.

reasoning_content: We need to choose the best sense for 'learning' in the context: "...with students who cannot add or subtract 'learning' the conceptual basis of mathematical theory". The target form is 'learning' as a verb (present participle). The context suggests students are supposedly 'learning' the conceptual basis, but they cannot do basic arithmetic. The sense likely involves gaining knowledge or skills, but the phrase "learning the conceptual basis" fits sense 1 (gain knowledge or skills). However, check other senses: sense 2 is about accidentally learning, sense 3 is memorizing, sense 4 is studying a subject, sense 5 is teaching (but verb is 'learning' not teaching), sense 6 is finding out. The context is about math education, students are supposed to be acquiring knowledge of mathematical theory, but they can't do basic math. So sense 1 seems most appropriate. Also note that the word is used as a verb, present participle. So 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: 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}.

reasoning_content:
We are given the target lemma "basis" in context: "learning the conceptual basis of mathematical theory". The context is about students learning the conceptual basis of mathematical theory. We need to choose among three senses.

Sense 1: "a relation that provides the foundation for something" with synonyms footing, ground. Example: "they were on a friendly footing; he worked on an interim basis". This seems more about a metaphorical foundation or relation, like a basis for a relationship or for working. In our context, "conceptual basis" likely refers to the fundamental assumptions or the foundational part of mathematical theory.

Sense 2: "the fundamental assumptions from which something is begun or developed or calculated or explained" with synonyms base, foundation, fundament, groundwork, cornerstone. Example: "the whole argument rested on a basis of conjecture". This fits well with "conceptual basis" as the underlying assumptions or foundation of a theory.

Sense 3: "the most important or necessary part of something" with synonym base. Example: "the basis of this drink is orange juice". This suggests a core ingredient or essential component. While "conceptual basis" could be seen as the most important part, it is more about the foundational assumptions.

Given the context, "conceptual basis" strongly aligns with sense 2: the fundamental assumptions from which something is developed or explained. Also, the example in sense 2 mentions "the whole argument rested on a basis of conjecture", which parallels "the conceptual basis of mathematical theory". Thus, sense 2 seems best.

Therefore, the answer should be 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}.

reasoning_content: We need to choose the best sense for "mathematical" in the context. The phrase is "the conceptual basis of mathematical theory". This refers to mathematics as a field, not numerical ability, not beyond question, not statistical chance, not precision. The first sense is "of or pertaining to or of the nature of mathematics". That fits perfectly. So sense_index 1.