In this activity students are presented with a calculation of the standard deviation of seven athletes. Students are asked to comment upon the result. It is intended that students will spot that the standard deviation is too large given the data, but can students spot the error? This resource highlights the errors...

This activity highlights the difficulty finding quartiles for small samples sizes as there appears to be more than one method to be found dependent upon the book being used. In this activity a sample size of 11 is chosen as finding the quartiles for this sample size is straightforward. Students are told the number...

From the Integrating Mathematical Problem Solving project by Mathematics in Education and Industry (MEI), this activity shows that income is not equally distributed among all the inhabitants of a country. This can be shown visually using a graph and also measured. The mathematical ideas covered are:
•...

This resource is part of a collection of Nuffield Maths resources exploring Personal Finance. The demand is roughly equivalent to that in GCE A level.  The resources include slide shows to introduce the topics, student sheets and teacher notes, as well as other relevant materials.

This explores how to...

This action research report, published by LSIS, describes a project undertaken by Newcastle College. The study focussed on the impact of coaching or ‘active’ mentoring activity on the teaching practice of three additional diploma trainees.

This sub-collection of resources from the Virtual Text Book collection contains six resources designed for use on an interactive whiteboard to aid the teaching and learning of a variety of topics in ‘Mechanics'. Each resource is an interactive Excel worksheet to encourage teacher-student interaction. The topics...

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 Mechanics in Action Project helped teachers explore the use of practical investigations in mechanics. It aimed to make the subject more interesting and accessible by providing exciting ideas for experienced teachers and support for those who lacked confidence in the subject.

Students are presented with two calculation ‘tricks’ involving squaring two digit numbers. They then use algebra to explore the reasons why the method works.

The short presentation can be used to show examples to illustrate each of the methods.

The teachers...

Produced by the Learning Skills Improvement Service (LSIS), this case study tackles the theme of progression through STEM subjects. It looks at a mentoring scheme set up by St Francis Xavier College to support students in mathematics. In the scheme, A2 students were paired with AS students and given advice about...

This Core Maths resource contains two activities concerned with sampling.

The first activity asks students to review and summarise the key features, advantages and disadvantages of Random, Systematic, Stratified, Quota and Cluster sampling methods.

The...

In this Core Maths task students use statistical techniques to evaluate a number of Public Health initiatives, using the notion of a ‘microlife’- a measure of the impact on an individual’s expected lifespan of various lifestyle choices.

Microlives: Front sheet
This teacher guidance...