In mathematics the art of proposing a question must be held of higher value than solving it. - by George Cantor
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.
In coordinate geometry, transforming the axes allows us to simplify equations, reposition curves, and reveal hidden symmetries. This technique is especially...
Mathematics is often seen as the realm of cold precision. But tucked within its symbols lie stories—enigmatic, elegant, and sometimes downright mystical....
Selected Problems on SurdsProblem 1 If \( x=\frac{\sqrt{7}+\sqrt{3}}{\sqrt{7}-\sqrt{3}} \) and \( x y=1 \), then show that$\frac{x^{2}+x y+y^{2}}{x^{2}-x...
When we study geometry, two important measures come again and again: Perimeter and Area.Perimeter is the distance around a closed figure. Imagine walking along...
Your phone battery jumps from $12$% to $24$%. Did it double? Yes—$24$ is twice $12$—but it’s still only $24$ out of $100$, so don’t...
Introduction: In the world of algebraic shortcuts, Componendo and Dividendo stands out as a powerful tool for simplifying complex ratios and solving problems...
What is a Fraction?In mathematics, a fraction represents a part of a whole or a ratio between quantities. It shows how many equal parts are taken from a total...
Numbers aren’t just symbols—they’re puzzles waiting to be solved! In Class V, math takes a fun leap as we explore how numbers interact...
In this article, we will describe the Mathematics behind the amazing card trick – “The Final 3”. The steps of the Magic goes as...
AbstractCybersecurity, an essential pillar of modern technological infrastructure, relies heavily on mathematical principles and techniques. This paper...
