| Document Type
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BL
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| Record Number
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983745
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| Doc. No
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b738115
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| Main Entry
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Westwood, Peter S.
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| Title & Author
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Numeracy and learning difficulties : : approaches to teaching and assessment /\ Peter Westwood.
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| Publication Statement
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Camberwell, Vic. :: Australian Council for Educational Research Press,, 2000.
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| Page. NO
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1 online resource (127 pages) :: illustrations
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| ISBN
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0864313411
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: 1429486198
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: 9780864313416
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: 9781429486194
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| Bibliographies/Indexes
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Includes bibliographical references (pages 111-122) and index.
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| Contents
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Preface; 1 Developing numeracy: current issues in learning and teaching; 'I hate maths!'; Why do students fail?; Recent criticisms of mathematics teaching; Reforming the teaching of mathematics; Constructivism: the dominant theory; The constructivist classroom; Some weaknesses in constructivist approaches; Does a constructivist approach suit all learners?; Does a constructivist approach suit all types of learning?; Combining explicit teaching, practice and student-centred learning; International standards in mathematics; Teaching approaches in Asian classrooms
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Cultural and familial influences2 More on children's learning; The role of language; The value of discussion; Writing in mathematics; Moving from concrete to abstract; Piaget's perspectives on children's learning; The perspectives of Bruner; Vygotsky and the 'zone of proximal development'; Skemp: levels of understanding; The cumulative nature of effective learning; Developing the beginnings of number sense; Early development of other mathematical schemata; 3 Improving numeracy: general teaching principles and practices; Effective teaching; Teaching for higher achievement
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Research evidence on effective instructionThe vital importance of clarity in instruction; The role of questioning in effective learning; The place of group work in numeracy learning; The use of peer tutoring; Adapting instruction to individual differences; A final word on the use of structural apparatus; 4 Teaching basic number skills; The importance of counting; The beginnings of addition; Developing automaticity with number facts; Assisting recall; Beginning computation; Moving on; Interpreting number relationships; Number line; From 'number sentences' to algorithms
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Specific needs of students with learning difficulties6 Assessment; Purposes of assessment; Approaches to assessment; Observing students at work; Individual assessment and interviews; Assessing problem-solving skills; Work samples; Error analysis; Checklist of core knowledge and skills; The use of 'benchmarks' in numeracy assessment; Using the mathematics curriculum profiles; Teacher-made tests; Diagnostic tests; 7 Recommended resources; Texts; Assessment and teaching resources; Useful journals; Appendix 1; Students with learning difficulties: selecting priority curriculum content; Appendix 2
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Understanding the processesPlace value; Exploring larger numbers; Self-direction when solving algorithms; Multiplication and division: general points; Specific points on multiplication; Specific points on division; Using a calculator; Number skills must be functional; 5 Teaching problem-solving skills and strategies; What are 'problems'?; How do we solve problems?; Teaching problem-solving approaches; Collaborative group work; Problem-solving and learning difficulties; Specific strategies; Using variety in problem types; Acronyms and mnemonics
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| Abstract
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Numeracy and Learning Difficulties is a comprehensive guide that examines the different ways students acquire mathematical skills, and helps teachers develop flexible teaching methods to suit these varied ways of learning.
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| Subject
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Number concept in children.
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Numeracy-- Study and teaching (Primary)
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JUVENILE NONFICTION-- General.
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Number concept in children.
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Numeracy-- Study and teaching (Primary)
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| Dewey Classification
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372.72044
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| LC Classification
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QA135.5.W47 2000eb
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| Added Entry
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Australian Council for Educational Research.
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