• Creating Nice' Problems in Elementary Mathematics -- I

• # Fulltext

https://www.ias.ac.in/article/fulltext/reso/027/01/0039-0046

• # Keywords

Nice problem, rational number, irrational number, meta-problem, Pythagorean triple, primitive triangle, homogeneous equation, cosine rule, ellipse, circumcentre, incentre.

• # Abstract

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.

• # Author Affiliations

1. Sahyadri School (KFI), Tiwai Hill, Rajgurunagar, Pune 410 513, India.

• # Resonance – Journal of Science Education | News

• Posted on 13 July 2021
• # Workshop in Algebra, 7–9 September 2021

Posted on 9 August 2021