**Mathematical reasoning**

Mathematical reasoning consists of five parts;

*arithmetic**, algebraic, proportional, geometric and trigonometric, and statistical and probabilistic reasoning,*

and all of these involve *verbal reasoning*.

Compare the five parts of mathematical reasoning with the five subject content areas of GCSE Mathematics;

*Number (arithmetic is from the Greek word for number – arithmos), Algebra, Ratio, Proportion and Rates of Change, Geometry and Measure, and Statistics and Probability.*

It is easy to see then, that learning GCSE Mathematics is *all about* learning to reason mathematically.