Multiplication and Division in the Middle Primary Years

What comes to mind when you hear the term multiplication? And division?

Whilst these are indeed important, there is much more to multiplication and division; these seemingly simple operations are actually quite complex and can be difficult to teach. Developing a rich conceptual understanding in the middle primary years is also an essential foundation for the upper primary and secondary years, when students apply and develop their multiplicative thinking  in algebra, measurement and fractional situations.

For these reasons, we thought it might be useful to run a short series of blog posts on the teaching of multiplication and division to Middle Primary students; exploring multiplication and division  structures, properties, models and problem contexts. We have also been developing new content to develop these big ideas including activities, rich tasks and videos; and will show examples of  these resources as we go.

We would love your input on this important topic as well. Please add any feedback, ideas or questions in the comments section below each post.

There are two key multiplicative structures

The multiplication and division problems situations encountered by middle primary students at school and in real-life fit into 2 main classes.

Equal Groups

Comparisons

To learn more about these two main multiplicative structures visit the blog pieces below.

MULTIPLICATION & DIVISION AS EQUAL GROUPS
COMPARATIVE MULTIPLICATION & DIVISION

Multiplication and division models

Models used in middle primary situations include equal groups or sets (already explored), arrays, number lines and bar models.

MULTIPLICATION & DIVISION MODELS

There are more posts on the way. Keep your eye out for the following topics:

  • Properties of multiplication and division

  • Multiplication and division: Problem contexts

Want to know more?

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