Changing Rod Stories to Number Sentences
This resource uses Cuisenaire® Rods to create addition stories. Select one rod and the two rods that when positioned side by side are the same length as the original. Then use the white rods which represent 1 to convert the rod story into an addition sentence. Included are teachers' notes and a worksheet to practise converting…
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…
Make It Count - a Fresh Start with Numbers
This resource from the National Extension College was linked to a Yorkshire Television series of the same name. This book is a simple, practical guide to numbers. It has a step-by-step approach which takes the reader through the ways in which numbers are used. Addition, subtraction, multiplication, division, fractions, decimals…
The X2 Test
The unit from the Continuing Mathematics Project focuses on the x2 test as it is one of the most widely used statistical techniques. It is employed to compare theory with practice in biology, geography and the social sciences. This unit is concerned with the practicalities of using the x2 test; stating a suitable hypothesis;…
Nuffield Physical Science: Sections 8-14
The second Student Workbook for Nuffield Physical Science began with an extensive introduction to this novel course for students. The Workbook was not designed as a textbook. The content of each section was arranged on the same plan, and each contained four types of material: 'Introduction', passages of 'General information',…
Nuffield Physical Science: Sections 1-7
The first Student Workbook for Nuffield Physical Science began with an extensive introduction to this novel course for students. The Workbook was not designed as a textbook. The content of each section was arranged on the same plan, and each contained four types of material: 'Introduction', passages of 'General information',…
Mini Units B
The Nuffield Working with Science mini-units provide opportunities for students to develop their understanding of how to plan, carry out and interpret scientific investigations in a range of contexts. Guidance for these units appears in the Tutors’ Handbook. Contents • Parachutes • Questionnaires •…
Mini Units A
The Nuffield Working with Science mini-units provide opportunities for students to develop their understanding of how to plan, carry out and interpret scientific investigations in a range of contexts. Guidance for these units appears in the Tutors’ Handbook. Contents • Boomerangs • Dowsing page • Optical…
Pollution
This Nuffield Working with Science unit aimed to help students to recognise examples of pollution in their own neighbourhood and find out its origins. Students learn to appreciate that the problems of preventing pollution are very complex and that important conflicting interests may be involved. Students also find out about the ways…
Enterprise
This Nuffield Working with Science unit showed students how to plan, fund, carry out and complete their own enterprise designed to make money. Guidance for this topic appears in the Tutors’ Handbook. Contents Section 1: Planning and costing the enterprise Section 2: Raising the money Section 3: Trial run and research…
Town and Country Trails
This Nuffield Working with Science unit aimed to excite interest in natural and built environment while encouraging students to take an interest in environmental issues. Guidance for teachers and technicians appears in Teachers’ Notes F. The unit was revised and republished for the CPVE edition of the project in the…
Science Fiction
This Nuffield Working with Science unit aimed to help students to tell science fiction (SF) from science fact, to identify the science underlying ideas in SF, to appreciate how current scientific knowledge is limited and how the writers of SF imagine that it might be extended. Guidance for teachers and technicians appears in Teachers’…
Psychology
This Nuffield Working with Science unit aimed to give the students an understanding of some aspects of human behaviour and personality. In particular the intention was to help students to realise some of the reasons why human beings behave as they do, to become aware of the stages of development through which individuals pass, to…
Mining and Minerals
This Nuffield Working with Science unit was designed to develop simple skills of mineral testing and identification and a broad view of the subject of mining and minerals. Guidance for teachers and technicians appears in Teachers’ Notes F. This unit was not included in the second, CPVE edition of the project. Contents Section…
Energy: 2000
This Nuffield Working with Science unit was designed to introduce students to the concept of Britain's impending 'energy gap', how it will occur, and what we might do to bridge it. The unit features a substantial decision-making element. Guidance for teachers and technicians appears in Teachers’ Notes F. This…
Electronics
This Nuffield Working with Science unit aimed to enable students to design circuits to meet specific needs. The plan was also to help students to realise the range of electronics problems which they can solve by taking a systems approach. Guidance for teachers and technicians appears in Teachers’ Notes F. This unit was…
Weather
This Nuffield Working with Science unit was designed to help students to appreciate why the study of weather is important. The topic was planned to cover factors that influence the weather and the reasons why weather forecasters need to collect a large amount of information from a variety of sources. Guidance for teachers and…