# Welcome to GanitCharcha – Designing Mathematics Learning

The aim of learning is to be able to apply knowledge to solve new problems - that not only requires deeper conceptual understanding, but also requires attitude to extrapolate knowledge to discover the path to solution. Each and every thought to solve a problem is a path leading to some knowledge but not necessarily to the solution. The exploration of paths that lead to some knowledge but not the solution are what we call as productive failures. GanitCharcha encourages to make productive failures as it is one of the proven way to engage anyone with Mathematics. A properly designed and instrumented process to commit productive failures can infuse a sense of accomplishments amongst learners and thereby enhancing their confidence and love towards Mathematics.

## Carnival of Mathematics 153

We are glad to host the $153$rd Carnival of Mathematics in December $2017$ after last months Carnival of Mathematics 152 by TD Dang & Matthew Scroggs at...

## Carnival of Mathematics 141

We are glad to host the $141$th Carnival of Mathematics in December $2016$ after last months Carnival of Mathematics 140 by Tom at Mathematics and Coding....

## From Irreducible Fractions to Recurring Decimals - Part I

In this article we will establish the connection between Irreducible Fractions and Recurring Decimals. We will start by defining irreducible fractions....

## Not Just a Boring Triangle

One Saturday afternoon Rima was relaxing with a storybook in her hand. Just then there was a knock on the door, her sister…oops…how could she...

## Carnival of Mathematics 129

We are glad to host the $129$th Carnival of Mathematics in December $2015$ after last months Carnival of Mathematics 128  by Mike...

## A Short Note on TaxiCab and CabTaxi Numbers

Pierre de Fermat posed one problem more than 350 years ago and the problem is stated as follows “Find a number which can be written in two different ways...

## Montgomery Modular Multiplication

Many cryptographic algorithms like RSA, Diffie-Hellman key exchange are based on arithmetic operations modulo a large number. These algorithms require to do...

## A Population Growth Model Including Hermaphrodites

1. Introduction: Biomathematics or mathematical biosciences are concerned with the applications of mathematical techniques to get an insight into the problems...

## Discussion of Total Variation Minimization Norm for Image Denoising

Abstract: Image denoising is among the most fundamental problems in image processing. A large range of methods covering various fields of mathematics are...

## Mathematics Behind Google Search Engine - A Brief Note

In September $1998$, Google went online and immediately after, it became clear that in comparison to other search engines Google delivered much relevant or...

Ganit Charcha will host Carnival of Mathematics 165 organized by The Aperiodical in December 2018/January 2019.

A brilliant and inspiring movie on the life of the great Indian Mathematician Ramanujan is titled
"The Man Who Knew Infinity".
Check it out here: If you want to know more on the life of the genius Ramanujan then read the book The Man Who Knew Infinity: A Life of the Genius Ramanujan  by Robert Kanigel. Check it out here: https://amzn.to/2BIxQps