The word ‘heuristics’ has always left me fumbling for the perfect definition. Rule of thumb seems
adequate but too informal, as a teacher trainer, I’ve always preferred to illustrate rather than define this
word. And the first article in the November issue does just that- Gaurav Bhatnagar, leads you gently into
the Exponential Series- a heuristic definition! The relaxed tone continues with V. G. Tikekar setting the
stage to arrive at formulae which are usually given and proved using mathematical induction. He, on the
other hand, uses the narrative mode to set the context which explains and then proves the sum of
squares and sum of cubes formulae. From story we move to song, V. Ramprashanth’s article Tonic
Ambiguity is a delightful depart from our usual articles and it explains very simply, using just the
concepts of ratios, how two hearers can place the same tones at different positions on the musical scale.
CoMaC and then Shailesh Shirali, wrap up the Features section with a bouquet of proofs.
ClassRoom opens with Prithwijit De’s trademark investigative style – the title simply says A Triangle
Problem – read on to find out more. Student Corner is our happy space and this time, we have Vinay
Nair’s students talking about Happy Numbers and Bodhideep Joardar Investigating Pi. Next, we have
Naveen Yadav combining Set Theory, Geometry and Combinatorics in Scalene Triples and Ujjwal Rane
follows up on his previous article on Fagnano’s Theorem with a very visual, very practical alternative
proof. A video of this result has also been uploaded by him on YouTube, it is available at https://youtu.be/5MrNM-VxXd8.
Low Floor High Ceiling features a modification of an investigation into triangles having the same area and perimeter and conditions for congruency. Learn about G numbers in
Hara Gopal’s article. We’re particularly delighted to bring in yet another new sub-section to ClassRoom –
Course Correction features vignettes from pedagogical experience, ways in which pitfalls leading to
misconceptions can be addressed and used to advantage to strengthen student understanding. This
time, we feature the solution of a problem from a traditionally ambivalent topic- Combinatorics.
On to TechSpace, we have not one but two articles this time. Thomas Lingefjard describes the use of
technology to introduce concepts in Calculus and Sangeeta Gulati describes changes in the Desmos
software and how it can now be used to build activity kits. Problem Corner is a treasure trove of
interesting problems in addition to the usual Middle School, Senior School and Adventures in Problem
Review features an old classic – R. Ramanujam takes us through a lovely guided tour of Hardy’s A
Mathematician’s Apology. And there is an unexpected bonanza, with this issue, we will feature a mini-
review, it may be of a video clip, a game, a story…………..all things mathematical in essence. This time, J.
Shashidhar talks about Marcus du Sautoy’s Story of Mathematics. Read the facing page to know more
about this fascinating mathematician.
Pullout has graduated to Upper Primary – with this issue, we bring you a compendium of information
about teaching Integers- surely the point when students begin to have negative thoughts about
mathematics. I’m sure you’ll enjoy reading how to combat those tendrils of fear.
Enjoy your read and do send feedback to A[email protected]