Are certain individuals born to be teachers and can only those be truly competent? Or can people without such aspirations develop to become ‘great teachers’? Are there certain conditions, the presence of which foster such development?

# Geometry

The geometers of ancient Greece invented a peculiar game for themselves, a game called **Construction,** whose objective is to draw various geometric figures of interest. We are permitted to use just two instruments: an unmarked straightedge (a ‘ruler’), and a compass. Using these, we can draw a straight line through any given pair of points, and we can draw a circle with any given point as centre and passing through any other given point. (Oh yes, we also possess a pencil and an eraser, please do not feel worried about that!)

- Read more about What Can We Construct? – Part 1
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**Shwetha Ram**

When I received an email from Giridhar of Azim Premji Foundation that the forthcoming issue of W their newsletter Learning Curve was all about Mathematics, two words instantly popped into my head - Love… and… Hate! And I was pleasantly surprised when I read further on that Learning Curve would like me to narrate my (rather choppy) ride with this intriguingly abominable subject called Math.

- Read more about The Elusive “Mr.Math”
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Ask children in school which subject they dislike the most; chances are that 9 out of 10 will say A Mathematics. In fact, if you probe a little deeper, you will discover that 7 out of 10 children say they are 'terrified' or 'mortally scared' of the subject. Why children, ask any adult and you will find a similar pattern.

- Read more about What Ails Mathematics Teaching?
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ne of the scarier words in a math student’s lexicon is the word locus! The definition (A path traced by a point when it moves under certain condition) seems amorphous, difficult to pin down and much too open-ended! This topic is usually introduced in high school; we are deliberately presenting problems on locus which will give students a gentler introduction to the same.

A recent paper by Bizony (2017) discussed the interesting golden ratio properties of a Kepler triangle, defined as a right-angled triangle with its sides in geometric progression in the ratio 1 : √φ : φ, where φ = (1 + √5)/2

- Read more about A Cyclic Kepler Quadrilateral and the Golden Ratio
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Fagnano’s Problem: In 1775, Giovanni Fagnano posed and solved the problem - “For a given acute angled triangle, determine the inscribed triangle of minimum perimeter.” Using calculus, Fagnano showed the solution to be the Orthic Triangle – a triangle formed by the feet of the three altitudes. A different proof was given in At Right Angles, Vol. 6, No.

- Read more about Fagnano's Theorem - Alternative Proof
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- Read more about Three Means
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- Read more about An Eye on Eyeball
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The pullout, this issue, is continued from the previous issue and is based on Geometry at the primary level. In many ways, the teaching of geometry approached in the right way holds an immense potential for learning the art of seeing and observing....

- Read more about Pullout Section March 2015 - Geometry II
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The possibility of learning mathematics through ICT support has never before been so promising.

- Read more about Learning Mathematics through Geometrical Inquiry
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