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…
From Counting to Calculating
From Counting to Calculating, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge about the use of number in calculations in order to pass on this understanding to higher secondary students within their lessons. This…
Number Appreciation
Number Appreciation, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge about the number system in order to pass on this understanding to higher secondary students within their lessons. This book compliments From…
Mathematics From Outdoors
Mathematics From Outdoors, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge and is designed to help teachers to develop classroom activities that will interest students and enable them to link the mathematics they…
Machines, Mechanisms and Mathematics
Machines, Mechanisms and Mathematics, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge, and is written in the belief that much of mathematics has been developed to solve practical problems. Many practical applications…
Luck and Judgement
Luck and Judgement, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is aimed at expanding teachers’ knowledge, concentrating upon a practical approach to the teaching of probability and statistics. The book has two parts, the first concentrating upon…
Crossing Subject Boundaries
Crossing Subject Boundaries, part of the Mathematics for the Majority series produced by The Schools Council Project in Secondary School Mathematics, is a book aimed at teachers, encouraging collaboration across different subject areas. Each chapter focuses upon a different area of the curriculum and describes aspects of mathematics…
The Mathematics Curriculum: from Graphs to Calculus
This book first published in 1977 is about graphs, their drawing, their interpretation, their development and their use. It discusses the teaching of graphs from their early introduction and as far as the beginnings of integral and differential calculus. The book also places the teaching of graphs in an historical context as it reviews…
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…
Mathematical Experience
This book from the Schools Council discusses the aims of the Mathematics for the Majority project and includes contributions from teachers who were actively concerned with teaching mathematics at this standard. It is written in two parts: Part 1 discusses the philosophy and approach relevant to the learning of mathematics by the…
Assignment Systems
This Schools Council publication addresses assignment cards and how they can play an important part in mathematics teaching. The book discusses methods of preparing them and gives numerous examples. Topics as diverse as the Binary system, punched card matrices, vectors and topology feature as do geometrical and statistical assignments.…
Some Simple Functions
This book from the Schools Council addresses the topic of functions. The contents of the book are intended primarily for teachers, for whom, it was believed, it would provide a valuable background which would deepen their understanding of mathematics and give them insight into mathematical thinking. Teachers will find that the…
Mathematical Pattern
This book from the Schools Council is one of the Mathematics for the Majority project's background guides. It brings together, from a variety of branches of mathematics, topics in which an element of pattern is strongly emphasised. In particular, the chapters cover: 1. Pattern's pervasiveness 2. Some patterns in numbers 3.…
Working with Ratios
This unit from the Continuing Mathematics Project is designed to enable students to cope confidently with expressions of the type A/B= C/D, where A, B, C and D, may be integers or algebraic products like mv2 or functions like log x, or sin y. So equipped, students will be able to solve simple equations, change the subject of a…
Using Logarithms to Determine Relationships
This unit from the Continuing Mathematics Project goes into detail on how logarithms can be used to determine the laws which connect two variables on which experimental data has been collected. The unit follows naturally from the unit entitled The Theory of Logarithms. The objectives of the unit are that students: (i) understand…
Transformation of Formulae
Transformation of Formulae from the Continuing Mathematics Project builds on the work covered in the unit entitled Working with Ratios. The objectives of this unit are to enable students to acquire the skills necessary to transform formulae which involve algebraical fractions, brackets, and roots, as well as formulae in which…
The Trigonometry of the Right Angled Triangle
This unit from the Continuing Mathematics Project is concerned with the calculation of the sides and angles of triangles and how this is used by the surveyor, the navigator, and the cartographer. The development of the television, the light and the road have all relied on trigonometry. The objectives of the unit are that students…
The Theory of Logarithms: Part Two
This is the second part of the unit on The Theory of Logarithms from the Continuing Mathematics Project. It assumes that the user has completed the first part of the unit. The objectives of the unit are to enable students to: (i) acquire the concept of a logarithm as an extension of the concepts of a 'power' and of…
The Theory of Logarithms: Part One
These two units from the Continuing Mathematics Project assumes that the word 'logarithm' will be familiar to students using it, and that they will have used tables of logarithms to reduce the labour of working out expressions by arithmetic methods. The units assume that students are interested in knowing why logarithms…
Probability
This resource from the Continuing Mathematics Project has three units covering probability. Introducing Probability is the first unit and its objectives are that students will learn that a probability can be from intuitive considerations or actual experimental results; the meaning of 'outcomes', 'sample space',…
Positive and Negative Numbers
This unit from the Continuing Mathematics Project assumes that students have met and used directed numbers, but that their use has become rusty. The unit briefly justifies the rules by which the four operations (+, -, x and ÷) can be accurately carried out. In this sense the unit could be said to form an introduction to the…
Mathematics in Geography 4: The Gravity Model
For students to benefit from this Mathematics in Geography 4 unit from the Continuing Mathematics Project they should be familiar with simple ratios and square roots, and with algebraic symbolism and quadratic equations. A fair amount of arithmetic is involved in the unit. The objectives of the unit are; (i) to introduce students…
Linear Programming
This unit from the Continuing Mathematics Project is about linear programming - a procedure which is used widely in industry to solve management problems. The work here is an introduction to the subject. There are no really new mathematical techniques in the unit. It is rather an amalgamation of things students have probably learnt…
Inequalities
This unit from the Continuing Mathematics Project has been planned to help students learn how to handle inequalities, and how to represent them graphically. Students should be familiar with manipulating positive and negative numbers, representing equations of the form y + 3x = 6 as a graph and finding the solution of equations like…
Indices and Standard Form
This unit from the Continuing Mathematics Project has been planned to help students remember and understand what indices indicate and the rules they obey. As with all the units in this collection the text is designed to test as it teaches and is in sections. The content of the booklet starts with a diagnostic test then covers:…
4/5- Publication year: 1970 - 1979
- Textbook
Flowcharts and Algorithms
This unit from the Continuing Mathematics Project on flowcharts and Algorithms employs, three basic conventions: (i) the use of a flowchart and the appropriate symbols (ii) the use of computer statements, such as 'c = c + I1 (iii) the use of the inequality signs >, <, ≤ and ≥ Three very short programmes at the…
Descriptive Statistics
Descriptive Statistics is the name the continuing Mathematic Project has given to a sequence of four units which deal with distributions, histograms, bar charts, frequency tables and measures of central tendency and dispersion. The first unit, Presenting Statistics, aims to teach some basic statistical techniques that are useful…
Critical Path Analysis
This unit from the Continuing Mathematics Project is the first of two units on Critical Path Analysis (CPA). The broad objective of this unit is for students to become familiar with the diagrammatic conventions and with some of the terminology used in CPA. The first half of the unit is devoted to exposition and illustration of…
Correlation
This unit from the Continuing Mathematics Project is about the relationship between two quantities (correlation). If the two quantities are height of father and height of son, then we often want to know the extent to which 'tall fathers have tall sons'. Two quantities may be correlated quite strongly while another two quantities…
The Mathematics Curriculum: Counting and Configurations
This Mathematics Curriculum book, first published in 1978, examines 'combinatorics', a new term at the time that needed definition. Two aspects were considered, the first being permutations and combinations and the second being a possible set-up (or configuration) and asking if examples of such configurations exist and…
The Mathematics Curriculum: Mathematics Across the Curriculum
This Mathematics Curriculum book, first published in 1977, intended to act as an aid and catalyst in co-operation between teachers of mathematics and teachers of other subjects which use mathematics. It looks at areas of applied mathematics that demonstrate its usefulness and are of genuine interest to other subject areas. A knowledge…
The Mathematics Curriculum: Algebra
This Mathematics Curriculum book, first published in 1978, begins by giving a short account of what 'algebra' means, to inform those readers whose mathematical training did not take in the most recently included topics of school syllabuses, and to refresh the memories of those who were exposed to these ideas. Objectives…