MathEd Studies Category: Algebra

Category: Algebra

Abstraction and Algebra

Just how essential abstraction and algebra are? Here’s what Caleb Gattegno says on the importance of abstraction and algebra:  Nobody has ever been able to reach the concrete. The concrete is so ‘abstract’ that nobody can reach it. We can only function because of abstraction. Abstraction makes life easy, makes it possible. Words, language have…

Read more

Historical objections against the number line

Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students’ difficulties in understanding to conceptual problems in the history of mathematics. Albrecht Heefer in his paper, argue that one popular tool for teaching about numbers, the number line, may not be fit for early teaching of operations involving negative numbers. His arguments are drawn…

Read more