Key Concepts in Teaching Primary Mathematics

by Derek Haylock

• ISBN13: 9781412934107
• ISBN10: 1412934109
• Format: Paperback
• Copyright: 2007-10-08
• Publisher: SAGE Publications Ltd

Summary

Covering the key principles and concepts in the teaching and learning of mathematics in elementary schools, this text provides trainee and practicing teachers with a quick and easy reference to what they need to know for their course, and in the classroom. The entries are arranged alphabetically, and each contains a brief definition, followed by an explanation and discussion, practical examples, and annotated suggestions for further reading. Examples of the wide-ranging material include: Anxiety about mathematics; Assessment for Learning; Cognitive conflict; Concept learning; Creativity in mathematics; Differentiation; Equivalence; Explanation; Investigation; Low attainment; Making connections; Meaningful context; Mental calculation; Numeracy; Play as a context for learning mathematics; Problem-solving; Questioning; and Talk.

Table of Contents

The authors
Introduction	p. 1
Aims of mathematics teaching	p. 3
Algorithm	p. 7
Anxiety about mathematics	p. 12
Assessment for learning	p. 15
Assessment for teaching	p. 19
Cognitive conflict	p. 23
Concept learning	p. 27
Conservation of quantity	p. 32
Constructivism	p. 35
Creativity in mathematics	p. 39
Cross-cultural mathematics	p. 44
Cross-curricular mathematics	p. 48
Deductive and inductive reasoning	p. 52
Differentiation	p. 57
Equivalence	p. 62
Errors	p. 66
Explanation	p. 70
Gender and mathematics	p. 74
Generalization	p. 79
Giftedness in mathematics	p. 83
Home as a context for numeracy	p. 88
Informal calculation method	p. 91
Investigation (enquiry)	p. 96
Language difficulties in mathematics	p. 100
Low attainment	p. 105
Making connections	p. 109
Match and mismatch	p. 112
Meaningful context	p. 117
Meaningful learning	p. 120
Mental calculation	p. 125
Modelling process (representing)	p. 129
Numeracy	p. 133
Play as a context for learning mathematics	p. 138
Principle learning	p. 142
Problem solving	p. 145
Purposeful activity	p. 150
Questioning	p. 155
Rote learning	p. 159
Skill learning	p. 162
Talk	p. 166
Transformation	p. 169
Transitivity	p. 173
Using and applying mathematics	p. 176
References	p. 181
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