Teaching and learning mathematics / Peter G. Dean ; drawings of school pupils and teachers by Joanna Whiting.
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| Format: | eBook |
| Language: | English |
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London :
Routledge,
2018.
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Table of Contents:
- Cover; Half Title; Title; Copyright; CONTENTS; Acknowledgments; Preface; Glossary; List of Associations and Journals; CHAPTER 1 Looking Backwards and Looking Forwards; Introduction; Looking at a pupil; Looking at a mathematics lesson; Looking at educational aims; Illustrations of teaching and learning mathematics; CHAPTER 2 Historical Aspects of Mathematics in Schools; Introduction; The beginnings of mathematics education; Payment by results; Compulsory education, 1870; The Start of the Twentieth Century; Teachers begin to influence the syllabus; Psychology begins to have an effect
- The English school system in the late 1930sSelection for grammar school and a university education; Some early reports on mathematics education; Separate branches of mathematics: arithmetic, algebra and geometry; After the Second World War; Unified mathematics
- the Jeffery syllabus; Post war reorganization of secondary schools; Primary and middle schools in the post war years; Mixed ability teaching for pupils of middle school age; GCE, CSE, Schools Council and ROSLA; Mathematics in post war primary schools; The Nuffield mathematics project; Electronics influence education
- The changing sixth formMathematics in the new sixth form; Modern and traditional mathematics; Conclusion; Annotated References for Chapter 2; CHAPTER 3 Teaching Mathematics to Pupils; Introduction; Methods and Styles of Teaching; The actions of teachers and pupils; Methods, school structure and mathematics; Teaching styles change slowly; Teachers who change their teaching styles; The characteristics of good teaching; Diversity; Changing the combination of methods; Variation between teachers in a school; Variety in pupils' mathematical methods; Teaching the process or the tidy solution
- ContemplationHomework; Setting homework; Compulsory or voluntary homework; Marking homework; The organization of homework; Mistakes; Nonunderstanding; Misunderstanding; Understanding of further topics; Error patterns; Concentration on Individual Pupils; Grouping and mixed ability teaching; Materials for mixed ability work schemes; Models of mixed ability teaching; Individualized instruction; Teaching the Slow Learners; Fearful pupils; Disruptive pupils; Patterns of diagnosis and treatment; Advice on teaching styles; Conclusion; Annotated References for Chapter 3
- CHAPTER 4 Methods of Learning and Methods of TeachingIntroduction; Capacity, learning and teaching; Learning, teaching and theories; Fixed Response Methods; Stimulus-response psychology; Rote Learning; Drill and practice; Programmed learning and correct responses; The right amount of practice in each stage; Progressive stages in teaching; Progress and activity methods; Investigatory Methods; Gestalt-field psychology; Discovery methods of teaching; Directed discovery; Guided discovery; Exploratory discovery; Free discovery; A summary of the main methods of teaching mathematics