Shailesh A Shirali
Articles written in Resonance – Journal of Science Education
Volume 27 Issue 1 January 2022 pp 39-46 General Article
Creating `Nice' Problems in Elementary Mathematics -- I
We consider here the `meta-problem' of creating `nice' problems in elementary mathematics, `nice' being defined as a problem in which the input data, as well as the answers, are rational numbers. The classical example of this is that of generating Pythagorean triples. Many examples of this kind arise when we study Euclidean geometry and the theory of equations. We consider a few problems of this genre.
Volume 27 Issue 2 February 2022 pp 207-215 General Article
Creating `Nice' Problems in Elementary Mathematics -- II
We consider here the `meta-problem' of creating `nice' problems in elementary mathematics, `nice' being defined as a problem in which the input data, as well as the answers, are rational numbers. The classical example of this is that of generating Pythagorean triples. Many examples of this kind arise when we study Euclidean geometry and the theory of equations. We consider a few problems of this genre.
Volume 27 Issue 3 March 2022 pp 339-352 General Article
Creating ‘Nice’ Problems in Elementary Mathematics – III
We consider here the ‘meta-problem’ of creating ‘nice’ problemsin elementary mathematics, ‘nice’ being defined as aproblem in which the input data, as well as the answers, arerational numbers. The classical example of this is that ofgenerating Pythagorean triples. Many examples of this kindarise when we study Euclidean geometry and the theory ofequations. We consider a few problems of this genre.
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