In this article for teachers, Bernard gives an example of taking an
initial activity and getting questions going that lead to other
In this article Liz Woodham reflects on just how much we really listen to learners’ own questions to determine the mathematical path of lessons.
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.
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.
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.
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. . . .
One day five small animals in my garden were going to have a sports day. They decided to have a swimming race, a running race, a high jump and a long jump.
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.
Shut the Box game for an adult and child. Can you turn over the cards which match the numbers on the dice?
In this challenge, you will work in a group to investigate circular
fences enclosing trees that are planted in square or triangular
Why does the tower look a different size in each of these pictures?
This project challenges you to work out the number of cubes hidden under a cloth. What questions would you like to ask?
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?
Bernard Bagnall describes how to get more out of some favourite
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. . . .
Here are two kinds of spirals for you to explore. What do you notice?
An old game but lots of arithmetic!
Guess the Dominoes for child and adult. Work out which domino your partner has chosen by asking good questions.
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.
'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.
You'll need to work in a group on this problem. Can you use your sticky notes to show the answer to questions such as 'how many boys and girls are there in your group?'.
This task requires learners to explain and help others, asking and answering questions.
What can you see? What do you notice? What questions can you ask?
Arranging counters activity for adult and child. Can you create the pattern of counters that your partner has made, just by asking questions?
Explore this interactivity and see if you can work out what it
does. Could you use it to estimate the area of a shape?
A collection of our favourite pictorial problems, one for each day