# Mathematics

## What are the Natural Numbers

The Natural numbers, N, are extremely important in the world of mathematics. They are often referred to as counting numbers. An easy way to think about the Natural numbers is as positive whole numbers or Integers. Some mathematicians consider 0…

## Understanding Structure in Mathematical Objects

There are two types of mathematicians- algebraists and geometricians. The former excel at the manipulation of abstract symbols representing numerical quantities. Their reasoning centers on formal logic and neither relies upon nor allows for the messy realities of empiricism. Geometricians,…

## Rational Numbers Irrational Numbers Real Numbers

In a sense, the difference between rational and irrational numbers is a simple one:  a rational number can be expressed as the quotient of two integers, and an irrational number cannot.  For example, 10 3/16 can be written as 163/16. …

## Easy Math Tricks that can be done in your Head to Impress Friends and Family

Math tricks can be a fun way to impress friends and family alike.  Someone that has the knowledge of how to perform quick math tricks can make a simple math class a lot more entertaining while also making the solving…

## Cardinal Ordinal and Nominal Numbers

There are some who believe that a number is just a number—no big deal. However, numbers are quite fascinating and diverse. Indeed, one can classify numbers in several ways. Cardinal, ordinal and nominal numbers are common number types that we…

## Ancient Architecture and Math

Mathematics defines architecture; without it there would be no ancient architecture left standing. It had to be balanced or it would not have stood the tests of time. Finding Math in Ancient Architecture sounds as if students are to snoop…

## Pythagorean right Angled Triangle Pythagoras many Proofs

Pythagorean Theorem is one of the oldest theorems known to humans and also is one of the most widely used. Its discovery has been attributed to Pythagoras of Greece but various historical documents show that this theorem has been known…

## Deceptively Hard to Comprehend

The idea that the shape of a doughnut stands for the concept of nothing is slightly humorous on the one hand and logically problematic on the other. Where do we begin to describe the idea of “zero?” We can start…

## Structure in Mathematical Objects

Proportions must be exact and fit the design model else the object will not work properly. The world is built on structure and balance. Structure is one of the first things taught in mathematics although it is not labeled as…

## Statistical Terms

Statistics is the science of collecting data through the use of surveys and experiments and interpreting that data with mathematical formulas.  Nearly every college student takes at least one class of statistics as it is used in the social sciences,…