Exam Details
| Subject | Evolution Of Mathematical Reasoning And Philosophy | |
| Paper | ||
| Exam / Course | Ph.D. Programme In Math Education | |
| Department | School of Sciences (SOS) | |
| Organization | indira gandhi national open university | |
| Position | ||
| Exam Date | December, 2015 | |
| City, State | new delhi, |
Question Paper
1. Explain the concepts of 'representation' and 'form and function' in the context of mathematical reasoning. Use examples from algebra to support your explanation.
2. Explain each of the following statements, with an example as part of each explanation:
Mathematical tasks have considerable cognitive complexity.
The 'certainty' in mathematics differs from the 'certainty' in the discipline of education.
The mathematical knowledge of the ancient Chinese was limited to a few areas.
3. Explain one feature of mathematics that makes it useful to other disciplines. Your response should include two examples, related to distinct areas of mathematics.
4. Briefly describe the schools of mathematical philosophy listed below:
Formalism
Intuitionism
Logicism
Also name a well-known practitioner of each school of philosophy.
5. Explain the processes of abstraction and generalisation, bringing out the differences in them, if any. Give an example to support your explanations.
2. Explain each of the following statements, with an example as part of each explanation:
Mathematical tasks have considerable cognitive complexity.
The 'certainty' in mathematics differs from the 'certainty' in the discipline of education.
The mathematical knowledge of the ancient Chinese was limited to a few areas.
3. Explain one feature of mathematics that makes it useful to other disciplines. Your response should include two examples, related to distinct areas of mathematics.
4. Briefly describe the schools of mathematical philosophy listed below:
Formalism
Intuitionism
Logicism
Also name a well-known practitioner of each school of philosophy.
5. Explain the processes of abstraction and generalisation, bringing out the differences in them, if any. Give an example to support your explanations.
Other Question Papers
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Subjects
- An Overview Of Mathematics Education
- Evolution Of Mathematical Reasoning And Philosophy