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…
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…
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…
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…
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…
Indices and Molecules
From the Nuffield Foundation, the purpose of this module is to introduce students to index notation and standard form on the way to the determination of the size of a molecule. It builds up from simple rice-counting and paper-cutting to experiments in chemistry and physics which give a good approximation to molecular size. This…
Irrationals
From the Nuffield Foundation, this module attempts to build up an understanding of irrational numbers. It contains ideas and content which would normally be introduced much later (for example, the notion of closure, use of continued fractions – which are called ‘continuous’ fractions in the text). The resource…
Integers
The module, from the Nuffield Foundation, focuses on addition, subtraction, multiplication and division of directed numbers. The approach is the highly unusual one of representing directed numbers by equivalence classes of ordered pairs. This representation is supported by the use of a cardboard ‘machine’ which the authors…
Decimals 2
From the Nuffield Foundation, this module focuses on the use of decimals in multiplication and division and then on applications which include averages, speed calculations and rounding. The resource consists of: • Introduction: the teachers' notes on theoretical underpinning and layout of calculations. • A…
Number Patterns
From the Nuffield Foundation, the module is primarily about simple number patterns which are explored on a number square. The teachers' notes indicate how the theory may be developed further and include some notions of modular arithmetic. The resource consists of: • Introduction: the teachers' notes and the suitability…
What Is It?
The Nuffield Foundation provide this resource which can be used to introduce the idea of representing objects using plans and elevations. Students will have the opportunity to identify everyday objects photographed from plan and elevation views, draw 3D sketches of solids from their plan and elevation views, as well as plans and…
Spot the Errors
This resource from the Nuffield Foundation provides simulated information regarding an invoice, phone bill and bank statement. Each document contains several errors and students will have to check the details carefully to establish the correct values. Copies of the invoice, phone bill and bank statement with gaps for students to…
Bank Balance
This Free-standing Mathematics Activity from the Nuffield Foundation is designed as a game to give students practice in working with money, entering items onto a bank statement and calculating the balance. To play the game, cards are placed face down in a pile. Students then take turns to turn over a card, enter the value in the…
Logic
This book, which forms part of the weaving series from the Nuffield Mathematics Project, is an introduction to logic in a very general sense. Its main aim was to help students aged from about 8 to 12 to think clearly and logically. In this book, students are encouraged to consider how they use the logically important words, and…
Topic Books
The Topic books in the Nuffield Secondary Mathematics scheme were number, space, time, measurement, logic and algebra, probability and statistics. In each topic area, a carefully planned sequence of books enabled a precise match between the mathematics students learn and their attainment, allowing all students to experience progression…
The Core Books
The Nuffield Secondary Mathematics core books, provided stimulating investigative tasks for all students in any one year group. In their core work, students were expected to develop skills and use and apply the mathematics which they have learned in their topic work. Each task, which was to be introduced by the teacher, is accompanied…
Problems for the Early Secondary Years
These four sets of problems, from the Nuffield Mathematics Project, have been designed for young secondary-school students. It was hoped that teachers would find them useful in conjunction with the main work described in the teachers' guides. The majority of the problems are investigative. It was felt that the majority of students…
Space
This 'weaving guide’ from the Nuffield Mathematics Project prepared to show how the main themes such as Computation and structure and Shape and size could become interwoven in work on a particular topic. The title should really perhaps be 'The geometry of inner space'. The human problems involved might form another…
4/5- Publication year: 1970 - 1979
- Teacher guidance