 ## Adding and subtracting signed numbers

The word addition is used as a noun in the English language to mean ‘the process of calculating the total of two or more numbers or amounts’. To represent the process of addition in mathematical form, we make use of a symbol shaped like a cross (+). Historic records show that Henricus Grammaticus, a German […]

## An introduction to the theory of numbers

Numbers are a fundamental concept in mathematics. We learn of them in the early stages of our math education (in our elementary classes), but not many of us can explain the nature of numbers succinctly. In school, we were wrongly introduced to numbers as abstract symbols that are used in arithmetic operations. If we want […] ## What are the divisibility rules?

In an attempt to present some of the most interesting and suggestive phases of mathematics, professor William F. White authored the expository book, which is entitled, ‘A Scrap Book of Elementary Mathematics’. In this article, we bring you the various tests and procedures that are in use to determine divisibility of a number. The methods […]

## Status of math education

It’s the one subject that breaks the ‘heart and back’ of children, not that the development of children in English language and ‘whole person development’ (e.g., music, art, sports) is usually any better. However, of the many reasons for mass-scale (and global) poor achievement level in Math, is the way math is planned for teaching. […]

## Math Vs Art

Thus, in math we reach conclusions deductively, i.e., from universal rules to applications in specific situation/example; e.g., prime numbers are defined by a ‘universally applicable definition’ that determines whether a particular number is a prime or not, and whether a ‘newly discovered number’ is going to be prime. Math follows logic; logic being variously defined […]

## Quantification – the need for numbers

We now know that that there are situations where we need numbers, to express quantities in precise manner; for example, the following can only be expressed using numbers – Telephone numbers TV channels House numbers School admission numbers School bus seat numbers Timing of school periods Lunch period Prices of all the things you can […]

## Teaching of math

Math is perhaps the easiest subject to teach for two reasons: It’s highly logical, i.e., deductive; prior experience, or observation are not important in learning math. Math is about building ‘flawless’ (or better) arguments on any situation, this reasoning ability is basic human capability in all of us Math is build on a rather narrow […]

## What makes a number, a number?

In other words, what’s the characteristics of numbers? Numbers and arithmetic are made for each other – a number is a number only if arithmetical properties operate on it. Peano arithmetic may be used to create a definition for numbers to test if a number is really a number. Peano arithmetic is a set of […]