Nuffield Advanced Mathematics Book 1
Book One of Nuffield Advanced Mathematics was the first of five core text books. It bridged the gap between GCSE and AS and A level Mathematics. It was designed to be accessible to students who had attained GCSE grade C and above, and to develop a strong foundation for further study. Contents Unit 1: Modelling and calculators Unit…
The History of Mathematics
This Nuffield Advanced Mathematics option consists of six units of work, each on a different theme. Students had the opportunity, as part of their coursework, to develop an aspect of interest from one of the themes into a longer project. These topics were chosen to relate the learning in an A-level mathematics course and to deepen…
Nuffield Advanced Mathematics Book 2
Book Two of Nuffield Advanced Mathematics built on the foundations started in Book One. Like the other books in the series it consisted mainly of activities through which students could develop their understanding of mathematical ideas and results, or could apply their knowledge and understanding to problems of various kinds. Contents Unit…
Nuffield Advanced Mathematics Book 5
Book Five of Nuffield Advanced Mathematics contained the last four units of the core A2 course. The units in this book completed the treatment of calculus and statistics in the core. Contents Unit 21: More calculus Unit 22: Plane curves Unit 23: More differential equations Unit 24: Distributions Summaries and exercises Hints…
Nuffield Advanced Mathematics Book 3
Book Three of Nuffield Advanced Mathematics contained the units that, with Books One and Two, made up the AS course. These units extended the students’ knowledge of algebra, calculus, exponential functions and handling data. It also introduced vectors. Contents Unit 11: Equations and inequalities Unit 12: Correlation and…
5/5- Publication year: 1990 - 1999
- Textbook
Nuffield Advanced Mathematics Book 4
Book Four of Nuffield Advanced Mathematics included the first five units of the core A2 part of the advanced level course. The book showed how to find polynomials to fit given data, it gave a number of ways of solving equations by iteration, and it also introduced matrices and ideas of chaos. The first unit in the book was intended…
Complex Numbers and Numerical Methods
The two units in this Nuffield Advanced Mathematics option were independent of one another, and of unequal in length. ‘Complex numbers’ needed more time than ‘Numerical methods’. The unit on complex numbers developed the arithmetic and geometry of complex numbers and led up to a section on fractals. The…
The Core and More
This resource has been compiled primarily for mathematics teachers of the 16-18 age range through support from the Mathematics Centre at the University of Chichester by four teachers who were central to the RAMP A level course from its inception. They were released from their teaching to analyse and evaluate the course in operation,…
Mathematics, Music and Art
This Nuffield Advanced Mathematics option consisted of two units of work on different themes. A likely model for coursework was that students would develop an aspect of interest from one of the themes into a longer project. There are a variety of types of topic within the chapters of this book. In the ‘Music and mathematics’…
Mechanics 1
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 situation • analyse the situation mathematically •…
Nuffield Advanced Mathematics Resources File
The Nuffield Advanced Mathematics Resources file provided supporting material for four types of calculator and for the spreadsheet, Excel. The program listings in the calculator sections were designed to be transparent and easy to understand. They followed the algorithms in the Nuffield texts as closely as possible, and they used…
Nuffield Advanced Mathematics Teacher’s Notes
The teacher's notes for Nuffield Advanced Mathematics were designed to help teachers organise and to support their work with students. The student materials were designed to support a flexible approach to teaching and learning mathematics. The teacher’s notes made suggestions for varying teaching approaches. They encouraged…
Statistics
The emphasis in this Nuffield Advanced Mathematics option was on non-parametric methods to help students to gain a good understanding of statistical processes. Students required access to a computer with a professional statistics package to gain the full benefit from this option. Contents 1. Introduction 2. Collecting real…
Mechanics 2
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 • set up a mathematical model of the situation • analyse…
Mathematics Reader
The Nuffield Advanced Mathematics reader provided articles as background or extensions to topics covered elsewhere in the course. The aim was to encourage students to make further study of the development and applications of the ideas about which they were learning. This was one of the ways by which the course team illustrated how…
Discrete Mathematics
A substantial part of this Nuffield Advanced Mathematics option was about algorithms. Students used calculators, or computers with a structured programming language, to turn algorithms into programs. They were introduced to various aspects of discrete mathematics and, in particular, they were shown how many of these relate to important…
Mechanics in Action
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 aims to help…
Surfaces
The Nuffield Advanced Mathematics course took advantage of computer graphics programmes to introduce into the A-level course an option of studying surfaces, their gradients and other properties. This field had traditionally been the subject of first year university courses. Students who attempted this option were encouraged to use…
Standards in Public Examinations 1975 to 1995
This report, jointly published by the School Curriculum and Assessment Authority (SCAA) and Ofsted under the chairmanship of Ron Dearing, presents the findings of an investigation into whether standards in GCSE and A level examinations were maintained in the period up to 1995. The improving examination grades during this period had…
Trigonometric Functions
Produced by the Spode Group as part of the A-level mathematics support series, this booklet aims to show the practical importance of trigonometric functions. The booklet contains five case studies. Cylindrical oil container covers applications of sine, cosine and tangent Pipes covers use of Pythagoras' theorem and finding…
Exploring Statistics
This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide a series of short problems to stimulate discussion of statistics amongst students and between students and teachers; and to provide some longer investigations which search more deeply into the student’s understanding…
The Teacher's Guide to the Leeds Mechanics Kit
This Mechanics in Action Project guide offers suggestions of practical activities for teaching mechanics that use the Leeds Mechanics Kit. The investigations focus on the modeling cycle. The Leeds Mechanics Kit contains simple apparatus for use with the mechanics syllabuses in A level Mathematics and Further Mathematics, or for…
Exploring Mechanics
The many applications of mechanics make it an important topic of interest to applied mathematicians, scientists and engineers. This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide a more realistic view of mechanics and help the teaching of mechanics move towards applications…
Exploring Pure Mathematics
This resource, produced by the Centre for Teaching Mathematics at the University of Plymouth, is designed to provide short problems to stimulate discussion of mathematics amongst A level students and between students and their teachers; and to provide some longer investigations which search more deeply into the students’ understanding…
Technological Maths
This report was prepared by Professor Richard Kimbell and Richard Green of the Technology Education Research Unit (TERU) as a result of a project commissioned by The Engineering Council in June 1996. The brief for the project was to examine the use of mathematics as a tool to support Technology Enhancement Programme (TEP) activities…