Bernard Bagnall describes how to get more out of some favourite NRICH investigations.

Why does the tower look a different size in each of these pictures?

In this challenge, you will work in a group to investigate circular fences enclosing trees that are planted in square or triangular arrangements.

This task depends on groups working collaboratively, discussing and reasoning to agree a final product.

In this challenge, buckets come in five different sizes. If you choose some buckets, can you investigate the different ways in which they can be filled?

When I fold a 0-20 number line, I end up with 'stacks' of numbers on top of each other. These challenges involve varying the length of the number line and investigating the 'stack totals'.

Explore Alex's number plumber. What questions would you like to ask? Don't forget to keep visiting NRICH projects site for the latest developments and questions.

This article suggests how to dig deeper into who answers questions in your classroom using the game Dotty Six.

This article for teachers outlines one school's research project to explore how children, girls in particular, could be motivated in Maths through a more practical approach.

In this article for primary teachers, Fran describes her passion for paper folding as a springboard for mathematics.

Explore this interactivity and see if you can work out what it does. Could you use it to estimate the area of a shape?

Here are two kinds of spirals for you to explore. What do you notice?

Being stuck is usually thought of as being a negative state of affairs. We want our pupils to succeed, not to struggle. Or do we? This article discusses why being stuck can be fruitful.

In this article for teachers, Bernard gives an example of taking an initial activity and getting questions going that lead to other explorations.

What can you see? What do you notice? What questions can you ask?

This task requires learners to explain and help others, asking and answering questions.

In this article Liz Woodham reflects on just how much we really listen to learners’ own questions to determine the mathematical path of lessons.

'What Shape?' activity for adult and child. Can you ask good questions so you can work out which shape your partner has chosen?

This task depends on learners sharing reasoning, listening to opinions, reflecting and pulling ideas together.

This task develops spatial reasoning skills. By framing and asking questions a member of the team has to find out what mathematical object they have chosen.

In the process of working with some groups of teachers on using questions to promote mathematical thinking, the following table was developed. It provides examples of generic questions that can. . . .

Guess the Dominoes for child and adult. Work out which domino your partner has chosen by asking good questions.

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. . . .

Some questions and prompts to encourage discussion about what experiences you want to give your pupils to help them reach their full potential in mathematics.