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.

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....

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

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...

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

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...

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

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

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

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

A rational number or a fraction where the numerator is $1$ and the denominator is any positive integer $n,$ is called a unit fraction and is denoted as...