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At Right Angles March 2017


The Art of the Matter - can a picture be a powerful pedagogical tool? At Right Angles believes it can, and if you read the write up on the facing page, I'm sure you will agree with us. Going to the heart of the art is key to mathematics and there's more of the same inside this issue. We begin with Ramya Ramalingam, a sixteen year old school girl, unraveling the mysteries of Knot Theory for us. And Haneet Gandhi picks up where her series on Tessellations stopped, with a facinating article on tiling and the pictures we can create with different combinations and permutations of polygons.

In the ClassRoom section, Khushboo Awasthi opens up the Square Root Spiral with a series of investigative questions; Ujjwal Rane proves Fagnano's Theorem in several innovative ways. CoMaC describes an unusual way to bisect an angle and also manages to pull yet another 3-4-5 triangle which has long connected math with art pops up in Kepler's triangle - read more about it in Marcus Bizony's article. And in How To Prove It, Shailesh Shirali uses Ptolemy's theorem to reveal all kinds of facinating relationships in cyclic quadrilaterals.

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TechSpace features the first part of a two part series on constructive definitions; Michael de Villiers shows you how to do so with a GeoGebra activity centered on the golden rhombus. Truely cutting edge math pedagogy!

Our review this time is by Kamala Mukunda who shares her views on Liping Ma's classic Knowing and Teaching Elementary Mathematics. This is a must-have for every school library and a must-read for mathematics teachers of all classes.

Finally, it's Time - this PullOut by Padmapriya Shirali will give you several new ideas to introduce this all important concept and help students quantify something which impinges on their consiciousness long before they come to school.

We hope you enjoy this issue - do share your thoughts with us on AtRia.editor@apu.edu.in or our FaceBook page AtRiUM.

   
Features


Ramya Ramalingam
Tying it up, without loose ends


 
 

Knot Theory Addendum

 


Haneet Gandhi
Cataloguing Uniform Tiling


 
In the Classroom


Ujjwal Rane
Fagnano's Problem


 
 

Shailesh shirali
Fagnano's Problem addendum

 


Marcus Bizony
The Golden Ratio, unexpectedly


 
 

Sneha Titus and Swati Sircar
DADs Rule!


 


Khushboo Awasthi
Spiral of Square Roots


 
 

CoMaC
Angle Bisection


 


CoMaC
3 4 5 strikes again


 
 

A. Ramachandran
Congruence & Constructibility in Triangles

 


Shailesh Shirali
Inequalities in Algebra & Geometry 1

 
 

Shailesh Shirali
How to Prove It


 
Tech Space



Michael De Villers
From a Golden Rectangle to a Golden Quadrilateral


 
Problem Corner



Sneha Titus & Arthmaraman R
Problems for the Middle School

 
 

Prithwijit De & Shailesh Shirali
Problems for the Senior School

 


CoMaC
TWO Problem Studies


 
Reviews



Kamala Mukunda
Knowing and Teaching Elemantary Mathematics


 
Pullout



PadmaPriya Shirali
Teaching Time

 


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