Key Understanding in Mathematics Learning: Paper 1 Overview
This review, published by the Nuffield Foundation, presents a synthesis of research on mathematics learning by children from the age of five to the age of sixteen years and identifies the issues that are fundamental to understanding children’s mathematics learning. The report concentrates on three main questions regarding key…
An International Comparison of Upper Secondary Mathematics Education: 24 Country Profiles
This report, published by the Nuffield Foundation in 2010, provides an international comparison of upper secondary mathematics education in 24 countries, including England, Scotland, Wales and Northern Ireland. It is based on data collected as part of a research review, which was subsequently validated and supplemented by national…
Global Grant-Making: a Review of UK Foundations' Funding for International Development
This report published by the Nuffield Foundation in January 2012 provides an up-to-date picture of the scale of UK foundation resources devoted to international development. It also identifies how these resources are distributed across region and need, and how foundations approach international funding activities. Commissioned…
Nuffield Maths: Bronto Books Set D
Nuffield Foundation provide these resources from the Nuffield Maths 5-11 project, which allow students the opportunity to practice using and reading simple mathematical vocabulary. They support, as well as extend, the basic mathematical concepts introduced to young children. The image of Bronto at the foot of some pages provides…
Nuffield Maths: Bronto Books Set C
Nuffield Foundation provide these resources from the Nuffield Maths 5-11 project, which allow students the opportunity to practice using and reading simple mathematical vocabulary. They support, as well as extend, the basic mathematical concepts introduced to young children. The image of Bronto at the foot of some pages provides…
Nuffield Maths: Bronto Books Set B
Nuffield Foundation provide these resources from the Nuffield Maths 5-11 project, which allow students the opportunity to practice using and reading simple mathematical vocabulary. They support, as well as extend, the basic mathematical concepts introduced to young children. The image of Bronto at the foot of some pages provides…
Nuffield Maths: Bronto Books Set A
Nuffield Foundation provide these resources from the Nuffield Maths 5-11 project, which allow students the opportunity to practice using and reading simple mathematical vocabulary. They support, as well as extend, the basic mathematical concepts introduced to young children. The image of Bronto at the foot of some pages provides…
Towards Universal Participation in Post-16 Mathematics: Lessons from High-performing Countries
This study, from the Nuffield Foundation, is a follow-up to the report 'Is the UK an outlier?', which examined mathematics education provision in 24 different countries and revealed that England, Wales and Northern Ireland have the lowest levels of participation in upper secondary mathematics. They were the only countries…
Children's Understanding of Probability
These resources, from the Nuffield Foundation, follow a previous study which reviewed the available research on how students learn mathematics. Probability is the focus here and this review, published in 2012, was commissioned to explore several aspects of the topic. The starting point in this report on children’s understanding…
Mathematics in A level Assessments
This report, from Nuffield Foundation, presents the findings of a research project which mapped the mathematical and statistical content in the assessment of six A level subjects: business studies, computing, economics, geography, psychology and sociology. Analysis of the summer 2010 examination papers from AQA, CCEA, Edexcel,…
Key Understandings in Mathematics Learning
These resources are provided by the Nuffield Foundation who, in 2007, commissioned a team from the University of Oxford to review the available research literature on how children learn mathematics. The resulting review is presented in a series of eight papers. Paper 1 Overview - summarises findings from detailed analysis of a…
Is the UK an Outlier? an International Comparison of Upper Secondary Mathematics Education
Participation in mathematics education, when it becomes optional at the age of 16, has been a consistent subject for debate in the United Kingdom over the past decade. The research in this resource, from the Nuffield Foundation, addresses a number of questions about policy and participation in upper secondary mathematics education…
How to Build a Pond
This resource, from Nuffield Foundation, is an example of how mathematics can arise naturally from a school activity and contains the work of students who attended Lady Margaret Junior School in 1967. The development of their project to build a pond is described in detail by the class teacher, who recognised that a practical activity…
Nuffield Maths 4: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. Each of the 24 chapters in…
Nuffield Maths 3: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. Each of the 24 chapters in…
Electronic Calculators
These resources, from Nuffield Foundation, were designed as a supplement to the Nuffield Maths 5-11 project, especially those activities which could be supported and reinforced by using a calculator. Most of the material in this book could be used by anyone interested in calculator work with students, although it was intended…
Nuffield Maths 2: Worksheets and Copymasters
This resource, from Nuffield Foundation, is a collection of worksheets from the Nuffield Maths 5-11 project. Practical experiences are used to introduce students to the early stages of subtraction and place value. The worksheets were designed to be used in conjunction with the Nuffield Maths 2 Teachers' Handbook and provide…
Nuffield Maths 2: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. The chapters in this handbook…
Nuffield Maths 1: Teacher's Handbook
This resource, from Nuffield Foundation, provides clear guidance on the content, methods and timing appropriate at each stage of the Nuffield Maths 5 - 11 project, which was developed to promote students' understanding of the concepts, as well as proficiency in the basic skills of mathematics. The chapters in this handbook…
Decimals 1
This resource consists of thirteen work cards each requiring students to investigate some aspect of the use of decimals. Associated with each card is a student help sheet and comprehensive teacher notes detailing assumed knowledge for each task, the purpose of the module and details of the work to be carried out by the student. Section…
Area
This resource consists of seventeen work cards each requiring students to investigate some aspect of area and perimeter of shapes. Associated with each card is a student help sheet and comprehensive teacher notes detailing assumed knowledge for each task, the purpose of the module and details of the work to be carried out by the…
Matrices
From the Nuffield Foundation, the purpose of this module is to introduce the language associated with matrices, to illustrate their use and begin to develop the algebra associated with them. The resource consists of: • Overview of the content of the cards. • Cards I.1 – I.3: language of matrices introduced…
Functionality
From the Nuffield Foundation, the purpose of this module is to introduce students to the linked concepts of 'variable' and 'function', so that by recognising the independent variables in an experimental situation, they will be able to control the experiment in an organised manner. If they also keep records in…
Simultaneous Equations
From the Nuffield Foundation, the purpose of this module is to introduce students to the solution of simultaneous equations and demonstrates a rather unusual way of approaching the topic. The equations are largely restricted to equations where the coefficients are +/- 1 to achieve some simplicity in the algebra with sometimes more…
Speed and Gradient
This module from the Nuffield Foundation gives an attempt to relate the gradient of a graph to the rate of displacement of an object which moves with time. This can be summed up in the phrase 'faster is steeper'. The module is in three sections, each of which is based on a simple piece of practical equipment which the students…
Similarity 2
From the Nuffield Foundation, the purpose of the module is to build on the Similarity module and extend the work, including more formal calculation, as far as the introduction of trigonometric rations. The module includes: • Notes for the teacher including a brief overview of the content of the workcards and references…
Vectors
From the Nuffield Foundation, the object of this module is to provide a simple introduction to the idea of a vector. Students need to be familiar with the co-ordinates module before starting this module. The development makes use of a number of simple (vector) grid games. The resource includes: • Overview of the cards…
Topology
This module from the Nuffield Foundation introduces simple ideas of topology starting from informal considerations of topological transformations progressing to work on networks (the bulk of the content) and ending with an investigation into map colouring. The resource includes: • Notes for the teacher including a very…
Co-ordinates
From the Nuffield Foundation, this module develops the use of co-ordinates in two and three dimensions using traditional games. It digresses into the simple use of matrices as information stores and finally, extending the work on ‘battleships’ into equations of lines and rather quickly into the solution of simultaneous…
Similarity
From the Nuffield Foundation, the purpose of this module is to introduce students to a study of the properties of similar figures as a first step on the way to a study of trigonometry. Hence the workcards involve the practising of the mechanics of enlargement, becoming familiar with the idea of a scale factor and with the idea of…
Symmetry
From the Nuffield Foundation, the purpose of this module is to develop understanding of line and rotational symmetry. Much of the work on line symmetry is based on paper folding activities and is quite practical. The resource includes: • A cards and notes: introduction – looking at patterns and creating patterns…
Angles, Courses and Bearings
From the Nuffield Foundation, the purpose of the module is to develop students’ understanding of angle by exploring rotation in practical situations and by using simple home-made equipment made from card. The resource includes: • Notes for the teacher including the organisation of the cards and the purpose and content…