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problem

Escape From the Castle

7 to 14

Skippy and Anna are locked in a room in a large castle. The key to that room, and all the other rooms, is a number. The numbers are locked away in a problem. Can you help them to get out?

problem

Christmas Chocolates

11 to 14

How could Penny, Tom and Matthew work out how many chocolates there are in different sized boxes?

article

Using Questioning to Stimulate Mathematical Thinking

5 to 14

Good questioning techniques have long being regarded as a fundamental tool of effective teachers. This article for teachers looks at different categories of questions that can promote mathematical thinking.

article

From Objects and Images to Mathematical Ideas

5 to 18

This article looks at how images, concrete apparatus and representations can help students develop deeper understandings of abstract mathematical ideas.

article

The Development of Spatial and Geometric Thinking: Co-Ordinating Space in Drawings

5 to 7

This second article in the series refers to research about levels of development of spatial thinking and the possible influence of instruction.

article

Probability Calculations From Tree Diagrams

11 to 16

Progression from natural frequencies to proportions to the multiplication rule, and hence to probability trees.

problem

Favourite

Farey Sequences

11 to 14

There are lots of ideas to explore in these sequences of ordered fractions.

problem

Favourite

A Little Light Thinking

14 to 16

Here is a machine with four coloured lights. Can you make two lights switch on at once? Three lights? All four lights?

problem

Powerful Hypothesis Testing

16 to 18

How effective are hypothesis tests at showing that our null hypothesis is wrong?

problem

Favourite

What's Possible?

14 to 16

Many numbers can be expressed as the difference of two perfect squares. What do you notice about the numbers you CANNOT make?