Half Our Future (the Newsom Report)
This report of the Central Advisory Council for Education (England) resulted from research into the state of secondary education, focusing on students aged 13 to 16 who were of average or below-average ability. The report was known as the Newsom Report, named after Mr J H Newsom, chairman of the advisory council. It identified serious…
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…
Further Mathematics: Revision Papers
This resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations. Revision papers - contains a selection of past examination papers which are a…
Further Mathematics: Chapters 13 to 16
This resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations. CHAPTER XIII - FURTHER PROPERTIES OF PLANE CURVES Curves expressed in polar…
Further Mathematics: Chapters 9 to 12
This resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations. CHAPTER IX - DE MOIVRE'S THEOREM AND SIMPLE APPLICATIONS De Moivre's…
Further Mathematics: Chapters 5 to 8
This resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations. CHAPTER V - SYSTEMS OF CIRCLES Power of a point with respect to a circle;…
Further Mathematics: Chapters 1 to 4
This resource, published by G Bell and Sons, was intended to complete the two-year course for those studying Pure Mathematics and also to extend the course to give adequate preparation for the 'S' papers of the GCE and similar examinations. CHAPTER I - THE TRIANGLE Medians; Circumcentre and circumcircle; Orthocentre…
Further Elementary Analysis: Revision Papers
This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of mathematics and, in order…
Further Elementary Analysis: Chapters 16 to 20
This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of mathematics and, in order…
Further Elementary Analysis: Chapters 11 to 15
This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of mathematics and, in order…
Further Elementary Analysis: Chapters 5 to 10
This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus together with the necessary parallel developments in other branches of mathematics and, in order…
Further Elementary Analysis: Chapters 1 to 4
This resource, published by G Bell and Sons, is a continuation of Elementary Analysis and was intended to complete a two-year Sixth Form course in Pure Mathematics. It is largely concerned with the development and applications of calculus, together with the necessary parallel developments in other branches of mathematics and, in…
Sets, Mappings, Relations and Operations
The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their ‘A’-level syllabus. Sets, Mappings, Relations and Operations is split into sections, each section containing…
Groups, Rings and Fields
The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their ‘A’-level syllabus. Groups, Rings and Fields is split into sections, each section containing explanations, examples…
Boolean Algebra
The Midland Mathematical Experiment, in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School, developed a series of books to cover their ‘A’-level syllabus. The Boolean Algebra book is split into sections, each section containing explanations, examples…
Midlands Mathematical Experiment MME Report 1962-63
This report begins with a brief history of the project in which a number of schools collaborated with the aim of developing a new approach to teaching mathematics in the Grammar School. The proposed new 'O'-level mathematics syllabus, and the need for change, is discussed in detail, looking at various aspects of “Modern…
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…
Beginnings (Circle Series)
Beginnings, from the Nuffield Mathematics Project, is concerned principally with students in their first few years at school and how their experiences of life gradually extend their mathematical thinking. This guide is a 'beginning' in another way; it is concerned with some of the basic ideas at the beginning of mathematics…
Exercises
This resource, published by Edward Arnold, was written to supply a set of examples on the 'modern' topics required for the St. Dunstan's College O-level examination syllabus, but many of the chapters go beyond the needs of O-level. The text preceding each exercise is brief, but there are references to other Contemporary…
The Course Books
These four course books, from the Contemporary School Mathematics collection published by Edward Arnold, were written by staff at St. Dunstan's College to fullfill the needs of the St. Dunstan's syllabus. Throughout the course, the emphasis was on two main objectives - to give students an awareness of the basic structure…
The Booklets: Second Series
This second series of booklets from the Contemporary School Mathematics collection first published by Edward Arnold in 1964, was intended for students aged 14-16. The language of sets and the use of matrices was used to show mathematics as a coherent subject with many applications and not a collection of isolated techniques. The…
The Booklets: First Series
This resource from the Contemporary School Mathematics collection published by Edward Arnold, contains the first series of booklets, originally published in 1964. The booklets were intented to be used with students aged 11 -13 to supplement, rather than replace, existing texts. The four booklets are: Shape, size and place Co-ordinates,…
Schools Council Bulletin 1966: Mathematics in Primary Schools
This bulletin, the second edition in the series published by the Schools Council, reports on the many changes that were happening generally in primary schools and specifically in mathematics teaching. The period under review follows the publication of the Mathematical Association’s 'The Teaching of Mathematics in Primary…
Into Secondary School
This short booklet, from the Nuffield Mathematics Project, is for teachers of children from eleven upwards, whether in secondary or middle schools. It describes the aims of the Project as it affects these children, and so is complementary to the Introductory guide, I do and I understand, which explains the philosophy of the project…
A Look Ahead
A look ahead is a short weaving guide from the Nuffield Mathematics Project intended mainly for teachers of older students in upper primary and lower secondary. The object of the guide was to re-state the aims and methods of the project in the light of experience so far, and to consider some of the problems which were then arising.…
The Story So Far
The story so far, from the Nuffield Mathematics Project, attempts to summarise some of the early Teachers’ Guides. References are also made to Desk calculators and Space. The purpose of the book was two-fold: 1. To provide easy reference to the topics in the guides for those teachers using them on a day to day basis. 2.…
I Do and I Understand
This guide explains the intentions of the Nuffield Mathematics Project, gives detailed descriptions of the ways in which a changeover from conventional teaching can be made and faces many of the problems that will be met. The contribution of the psychologist Piaget to the development of mathematics is described, as is the significance…
Checking up Guides
The Nuffield Mathematics Project Check-up Guides were intended to provide information on the students' progress. As traditional tests were difficult to administer in the new atmosphere of individual discovery it was the intention of the authors to replace these by individual check-ups for individual students. The first of…
Probability and Statistics
Probability and statistics, from the Nuffield Mathematics Project, starts with play activities which can develop ideas of fairness and probability through discussions on common facts leading to the collection of data, illustrating it with graphs and charts and drawing conclusions. Experimental and theoretical probability are…
Environmental Geometry
This guide from the Nuffield Mathematics Project delves deeper in to how the study of the Environmental can lead to geometrical work. The importance of the environment as a source for mathematical ideas was stressed throughout the main teachers’ guides. The range of activities discussed in this Guide extends beyond experiences…
Shape and Size
These Nuffield Mathematics Project guides focus on shape and size. Shape and size 2 is the first guide from the Nuffield Project to be concerned with shape and size although there was some preliminary material in Beginnings. The guide has three sections: a general introduction, ideas and topics suggested for primary schools and…
Computation and Structure
These guides from the Nuffield Mathematics Project follow on from the Beginnings guide. They deal mainly with number but also cover weights and measures. In Computation and structure 2, the concept of number is further developed. A section on the history of natural numbers and weights and measures (imperial and pre decimal) leads…