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Azim Premji Foundation Magazine

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Contents

Features

Our leading section has articles which are focused on mathematical content in both pure and applied mathematics. The themes vary: from little known proofs of well-known theorems to proofs without words; from the mathematics concealed in paper folding to the significance of mathematics in the world we live in; from historical perspectives to current developments in the field of mathematics. Written by practising mathematicians, the common thread is the joy of sharing discoveries and the investigative approaches leading to them.

07 ►

Amitabh Virmani

Making the Great Icosahedron

12 ►

Mahit Warhadpande

The Minimal Instruments of Geometry – II

17 ►

V G Tikekar

Spoof Numbers and Spoof Solutions – II

ClassRoom

This section gives you a ‘fly on the wall’ classroom experience. With articles that deal with issues of pedagogy, teaching methodology and classroom teaching, it takes you to the hot seat of mathematics education. ClassRoom is meant for practising teachers and teacher educators. Articles are sometimes anecdotal; or about how to teach a topic or concept in a different way. They often take a new look at assessment or at projects; discuss how to anchor a math club or math expo; offer insights into remedial teaching etc.

23 ►

R Ramanujam

Computational Thinking: The New Buzz

32 ►

A. Ramachandran

Investigative Questions for the Middle School

41 ►

Math Space

Put Your Thinking Cap On!

34 ►

Math Space

Integers: Extending the Number line with Coloured Counters

43 ►

Mathematics Co-Development Group

A ‘Mean’ Question

Problem Corner

49 ►

Sasikumar

A Special Class of Strong Prime Numbers – Krishnan’s Primes

51 ►

Siddhartha Sankar Chattopadhyay

On a Generalization of a Problem on Factorisation

Student Corner

54 ►

Adithya Rajesh

Galaxy of Unit Fractions with Tom and Jerry

58 ►

Bedanto Bhattacharjee & Riddhi Sarkar

A New Way of Looking at the Difference-of-Two-Squares Identity

60 ►

Atharv Tambade

Searching for Pythagorean Quadruples

62 ►

Kian Shah

Problem 61 from KVPY 2016

TechSpace

‘This section includes articles which emphasise the use of technology for exploring and visualizing a wide range of mathematical ideas and concepts. The thrust is on presenting materials and activities which will empower the teacher to enhance instruction through technology as well as enable the student to use the possibilities offered by technology to develop mathematical thinking. The content of the section is generally based on mathematical software such as dynamic geometry

software (DGS), computer algebra systems (CAS), spreadsheets, calculators as well as open source online resources. Written by practising mathematicians and teachers, the focus is on technology enabled explorations which can be easily integrated in the classroom.

64 ►

Jonaki Ghosh

The Spaghetti Problem

Review

We are fortunate that there are excellent books available that attempt to convey the power and beauty of mathematics to a lay audience. We hope in this section to review a variety of books: classic texts in school mathematics, biographies, historical accounts of mathematics, popular expositions. We will also review books on mathematics education, how best to teach mathematics, material on recreational mathematics, interesting websites and educational software. The idea is for reviewers to open up the multidimensional world of mathematics for students and teachers, while at the same time bringing their own knowledge and understanding to bear on the theme.

72 ►

Reviewed by Prof. Parvin Sinclair

Rethinking Mathematics: Teaching Social Justice by the Numbers

75 ►

Reviewed by Math Space

Manipulative Review: Geoboard

PullOut

The PullOut is the part of the magazine that is aimed at the primary school teacher. It takes a hands-on, activity-based approach to the teaching of the basic concepts in mathematics. This section deals with common misconceptions and how to address them, manipulatives and how to use them to maximize student understanding and mathematical skill development; and, best of all, how to incorporate writing and documentation skills into activity-based learning. The PullOut is theme-based and, as its name suggests, can be used separately from the main magazine in a different section of the school.

Padmapriya Shirali

Spatial Thinking with 3-D Objects