The approach in this Nuffield Advanced Mathematics books was one of guided modelling supported by practical work. In each investigation, students were expected to:
*define the problem that you are going to investigate
*set up a mathematical model of the...

As with Mechanics 1, the approach in this Nuffield Advanced Mathematics book was one of guided modelling supported by practical work with the same expectations that, in each investigation students would:
*define the problem that you are going to investigate
*...

Mechanics in Action is an introduction to using practical approaches to teaching mechanics. It includes a background to modeling and 53 practical investigations with photocopyable worksheets and teachers' notes. A knowledge of mechanics is necessary in the study of mathematics, science and engineering. This book...

The aim of a minimum spanning tree is to connect every vertex of the network using the edges having the least possible total weight. The task requires students to analyse information about a town centre and suggest which roads should be pedestrianized. [

Minimum spanning tree: presentation...

This resource requires problem solving using skills in both applying geometrical concepts and modelling a situation using functions.

Students investigate rolling cups of different shapes and dimensions. They use ideas of similarity to link together the wider diameter with narrow diameter, slant length, and...

In 2015, the Department for Education published a new report describing a randomised controlled trial of a pilot of the Multiplicative Reasoning Project (MRP). MRP focuses on developing teachers' understanding and capacity to teach topics that involve multiplicative reasoning to Key Stage 3 (KS3) students. The...

This short clip is the first of a suite of videos which look at progression in multiplication at primary level. It follows Sam, a Key Stage One teacher as she reinforces children’s understanding of the concept of multiplication using the interactive whiteboard. Children are asked to match pictorial representations...

This resource features two short tasks that involve finding multiple solutions to equalities and inequalities.

The first task is to find two solutions to

x² = 121

The examples then increase in difficulty, with an example being to find two solutions to

(x – 1)(5x⁴ –...

This resource provides a series of four lessons in which children work in teams to design a sustainable city. They explore examples of sustainability in existing cities around the world and consider the needs of citizens and the challenges of supporting a growing urban population. Children then plan their city and...

A selection of resources, published by BEAM, for teachers of Key Stage Three mathematics. They include challenging problems and puzzles, open-ended investigations and cross-curricular activities to practise and consolidate students' mathematical understanding of proprties of number. *Find my number - using...

A selection of resources, published by BEAM, for teachers of primary mathematics. They include challenging problems and puzzles, open-ended investigations, cross-curricular activities and games to practise and consolidate students' mathematical understanding.

• Bingo with a difference - using multiples...

In this collection of number puzzles, from the Centre for Innovation in Mathematics Teaching (CIMT), students have to find missing numbers each of which is depicted by a different colour. The product of the numbers at the corners of each triangle or quadrilateral is...

This book at level seven, from the Nuffield National Curriculum Mathematics series, was suitable for students following an intermediate GCSE course. It has nine units of work, each with information, questions and activities. The units, which are in short sections, have detailed content descriptions at the top of...

This task is designed to assess how well students understand symmetry, shape and angles.

Eight squares are places so that they each touch a vertex of an octagon. Students evaluate properties of the resulting pattern, including ideas about lines of symmetry and calculating angles between pairs of squares and...