# Mathematics

## Area of triangles and quadrilaterals

Exploring areas of rectangles, triangles, parallelograms and trapeziums including some ignored aspects. Models can be made using stiff paper/card/boxes.

## Division with multi-digit divisors

Multi-digit divisors are neglected in some syllabi and textbooks including the NCERT ones. They pose a lot of challenges and provide the only case when a standard algorithm of any of the four operations requires estimation. While the skill of dividing with such divisors may have lost its relevance thanks to the prevalence of mobiles with calculators, it is debatable whether they should be completely removed from school math. This ppt explores how to tackle such divisors and includes all possible estimation scenarios.

## Division Using Array

Division can be explored using array. This further establishes the reverse process of multiplication. It also brings out dividend = divisor x quotient + remainder beautifully. Check the ppt for all these and more...

## The Closing Bracket . . .

We feature here Mathematics teachers who we encounter in the course of the Foundation’s work, unsung heroes and heroines who are often the gateway into and out of mathematics for many a student. Math phobia has been endlessly discussed, it is time to focus on those whose dedication to the subject creates lifelong learners.

## PARALLEL LINES

Many elements in buildings – beams, pillars, windows, doors, window bars, flooring tiles – incorporate parallel lines. Line dividers on roads, railway lines, power lines are all examples of parallel lines. Parallel Lines assume a lot of importance when marking out roads or pedestrian crossings, sports courts, athletic tracks and airport runways.

## Introducing Numberphile

Ever since we decided to reintroduce our readers to Numberphile , I have been obsessively watching videos hosted via YouTube on the site! I have also listened to some podcasts. The content is both mathematics and interviews with mathematicians about a range of topics from“Why do people hate mathematics?”to “Fame and Admiration."

## Book Review : Arrow Cards

Arrow cards are a simple manipulative to grasp place value or more generally the base-ten number-writing system that we use. Dr. Maria Montessori invented the static cards shown in Figure 1. These cards are used along with proportional material like static beads (unit = single bead, ten = 10 beads strung together forming a line, hundred = 10 tens strung together to form a square and thousand = 10 hundreds strung to form a cube) to gain a sense of numbers – the quantities they indicate and the numerals that represent them and how they are linked.

## Book Review :A Focus on Fractions – Bringing Research to the Classroom

The relevance of this book to my work is due to the fact that it is a terrific blend of conceptual understanding of fractions and the challenges faced in classrooms by the teacher during transaction of this concept. It made me re-visit my experiences in the field of education. This book has dual insightsdata from cited research studies as well as from classroom work and is a valuable resource both for teachers as well as for teacher educators. Threads have been tied beautifully from start to finish of each chapter.

## Problems for the MIDDLE SCHOOL

Problem-IX-2-M-1. All prime numbers except 2 are odd numbers. Two consecutive odd numbers can both be prime. Such a pair is termed ‘twin primes.’ Except for the set (3,5,7), three consecutive odd numbers cannot be prime, since one of them must be a multiple of 3.

## Dynamic Geometry Software: A Conjecture Making Tool

Digital technologies have afforded many possibilities for the teaching and learning of mathematics and this has become a major area of research in Mathematics Education. A particular class of digital tools, known as Dynamic Geometry Software (DGS), allows mathematical concepts to be explored in a visual – dynamic way. In a DGS, geometrical figures or diagrams can be dragged and manipulated thus making them dynamic.

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