# Teacher Development

## Bringing back stories into education

Stories are endless. Millions of years ago from silence came sounds, movement, elements tagging along the stories of the universe. When man began to perceive he listened to the cosmos and intuitively began to narrate stories.

## Keeping pace with net savvy students

The character of education is changing rapidly. The demand for education has substantially increased because of the successful expansion of education across the world. The whole world is inter connected with a very thin but strong line of education. But if we flip the pages of our history we will trace the beginning of Globalization of education in the travel of students abroad since the middle of the twentieth century.

## Harmonic Triangular Triples

An article on Harmonic Triangular Triples

## Napolean's Theorem part 2

In an earlier issue of At Right Angles, we had studied a gem of Euclidean geometry called Napoleon's Theorem, a result discovered in post-revolution France. We had offered proofs of the theorem that were computational in nature, based on trigonometry and complex numbers. We continue our study of the theorem in this article, and offer proofs that are more geometric in nature; they make extremely effective use of the geometry of rotations

## There are Infinitely many Prime Numbers

Some theorems, it seems, are evergreen. New proofs keep turning up for them. One such is the theorem of Pythagoras (the current number of proofs stands at over 300). Another is the claim that the square root of 2 is irrational. A third example is the statement that there exist infinitely many prime numbers. This is the one on which we will dwell in this short article.

## The Exponential Series an Addendum

Here, we depict the same steps that of the article graphically and present the material in a different way. This article may thus be regarded as an addendum to it.

## How to discover the exponential function ex

If a function is such that its derivative is the function itself, then what would it be? Some interesting mathematical objects appear while trying to answer this question, including a power series, the irrational number e and the exponential function ex. The article ends with a beautiful formula that connects e, π, the complex number i = $\sqrt{\mathrm{-1}}$, 1 and 0

## Sum of Powers of Natural Numbers

This article consists of two parts. In Part 1, we construct situations or ‘stories’; in solving the problems posed in these narratives, we derive the different formulae. By relating the mathematics to real-life situations, teaching and learning become lively and enjoyable. It is hoped that this method will encourage mathematics teachers to create relevant stories to introduce some topics of mathematics, right from the early years of mathematics education.

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