When we talk about teaching math concepts and ideas, repetition is the most common method used. Children are given sheets of the same type of problem to figure out, having them repeat the same actions over and over again. But is this the best way to learn such things?

#### Repetition and Simplest Form Learning

It’s a proven fact that learning happens as synapses fire. The brain does change structurally when we revisit ideas and learn deeply but repetition is not the only way to learn. __Recent studies__ show that practicing the same functions over and over is, in fact, not helping you to learn the concept as a whole.

Those who are taught primarily this way learn to apply those concepts to one situation type only and it typically causes students to dislike the subject altogether. They learn to produce mindless and impractical answers and relationships, instead of being able to connect and reason as a whole.

This is further complicated by the fact that many teachers and/or text books only offer the most simplified version of the concept in isolation to anything else. These simplified versions are then practiced and drilled, causing boredom in most students as they learn to just accept the concept and repeat it, instead of learning the why behind it and where it might actually be used in the real world.

This can be seen when we look at how simple shapes are taught as well as mathematical equations and more complex ideas.

For example, students were asked to name the following shape.

It is a hexagon (a six-sided polygon), but most students couldn’t give this answer because they were taught that the proper shape of a hexagon looks like this.

They were taught the simplest form of this concept and not to relate it to any other form. Over half of all students who took part in this study couldn’t give the correct response to this and other questions about similar shapes and concepts. When students only learn these simplest versions, they are not given the opportunity to really learn what the concept or idea is all about and easily form misconceptions about it.

#### Non-Example Learning

Teaching a variety of situations and definitions is important to learn and master each concept. So is the teaching of __“non-examples.”__ These are definitions of what a concept is not. For example, when teaching the concept of the above-mentioned hexagon, teachers should also include examples of other polygons or shapes that are not hexagons. When teaching about mammals, giving examples such as a sparrow and teaching why it is not can be much more efficient than simply showing many examples of dogs and cats.

Giving students a more comprehensive and comparative learning method teaches them to differentiate between what is and what isn’t in a realistic way. They can then learn to apply that method to multiple situations and not just the simplest form or a perfect model.

Let’s make sure to teach in a way that gives children realistic expectations of how they can apply these important math concepts and ideas. To learn more about Math help click here.