Two themes dominate this issue of AtRiA: Archimedes & Magic Squares - an unlikely combination! Both are exceedingly rich topics to write about, with histories that go far back in time. Who can't be both charmed and thrilled by the story of Archimedes?
A popular mathematics magazine seems to be a paradoxical phrase, but here is our tenth issue and with a growing subscriber list, we seem to be both popular and mathematical! This issue is all about paradoxes. We also have Morley’s Miracle Part III and some stunning insights into the appearances of the 3‐4‐5 triangle, an article on Tests for Divisibility by Powers of 2, an article on Prime Generation. Check out the continuation of Low Floor, High Ceiling activity series, and the ever enchanting ‘How To Prove It’. Paper Folding and Dynamic Geometry software have blended seamlessly in Tech Space with an introductory on Conic sections. Savour the review of the book by George G Joseph, ‘The Crest of the Peacock’. And finally, a pullout on Measurement.
The lead feature in the March 2015 issue of AtRiA is based on the theme Proof Without Words. In the Review section, Mark Kleiner discusses Edward Frenkel's Love and Math - the Heart of Hidden Reality. Thomas Lingefjard, in his article Learning Math with a DGE system, addresses a pressing need of teachers using technology in the classroom. This issue features a new author Ali Hussen whose article weaves in algebra, geometry and arithmetic. It also introduces a new series on Low Floor High Ceiling activities.The pullout continues on the Teaching of Geometry (part ii).
AtRiA's November issue celebrates the 900th anniversary of Indian mathematician Bhaskaracharya II and takes you on a walk down the history of mathematics. You'll also find articles on portfolio assessment, ciphers, and quadrilaterals, among others. The pullout in this issue is focussed on Geometry.
From tessellations and a theorem in plane geometry to Desmos, an online math application, puzzles and Pentominoes, this issue of AtRiA brings to you a range of mathematical topics. Division is the topic focussed on in the pullout.
Visual riches dominate this issue. Haneet Gandhi talks about Tessellations and the principles they derive from, and also the cultural and historical background in which they are anchored, for example, Islamic art and architecture. Punya Misra and Gaurav Bhatnagar continue their series on the pattern-filled world of Ambigrams and symmetry. The Classroom section has plenty on offer too with a puzzle and articles on assessment, approximations and decimals. In the Tech Space section, Jonaki Ghosh describes how a spreadsheet program like MS Excel can be used to explore the fascinating Fibonacci sequence, and to discover not just the Golden Ratio but also a formula for the Fibonacci numbers. The pullout this time focuses on multiplication.
This issue has plenty of material on prime numbers, and the cover depicts, amidst a generous sprinkling of primes, the famous Greek mathematician Eratosthenes who made important contributions to Mathematics and Geography. Art and Mathematics section features some incredible ambigrams by Punya Misra and Gaurav Bhatnagar and the math behind them. A Teacher’s Diary on Classroom Assessment which is a joint effort of the A&P and IAA teams and is an attempt to translate the vision of CCE into practice. ‘How to Prove It’ which presents through case studies-themes, approaches and strategies connected with proof. The pullout this time focuses on subtraction.
We featured in this issue one of the great characters of twentieth century mathematics: Paul Erdős. This was appropriate as 2013 is the centenary year of his birth. Next, there was an article on the derivation of Brahmagupta’s formula for area of a cyclic quadrilateral via the use of Heron’s formula. In ‘Classroom’ we had an essay on Angles which explores some pitfalls that can waylay the learner. In Math Club we had a piece on the combinatorics of Braille.
In this issue we showed how to make an origami skeletal dodecahedron using paper but without the use of scissors or adhesives. We also showed how a well-known identity for the sum of the cubes of the natural numbers generalizes in a non-obvious way. Next we had an article on PIE – the Principle of Inclusion and Exclusion. Following that we had an article on Harmonic Triples. Next, we had a review of one of Polya’s most famous books. We started a new series on Problem Solving in Geometry. In ‘Tech Space’ we focused on problem solving using Geogebra.
In this issue, which appropriately featured Srinivasa Ramanujan on the cover, we started with Lagrange’s Four Squares Theorem followed by articles on games of chance; on the axiomatic basis of origami, and an unexpected construction possible under the rules of paper folding; on a beautiful theorem of Euclidean geometry called Viviani’s theorem; and on using a spreadsheet to explore the famous conundrum known as the ‘Monty Hall problem’. We also covered one of the premier events in mathematics education, held once in four years – ICME 12, which took place in Seoul, South Korea in July 2012. Following this we had articles on the role of open-ended questioning in classroom teaching; on pitfalls in the teaching of the method of induction. In the ‘Math Club’ column we studied a seemingly commonplace problem from the region shared by geometry, combinatorics and sequences. The ‘Pullout’ featured the teaching of decimal fractions. The ‘Review’ page features one of the best used sites in school level mathematics: the site belonging to the NRICH project of the University of Cambridge.


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