Developing Number Knowledge: Assessment, Teaching and Intervention with 7-11 year olds

Following the great success of the earlier books, this fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11 year olds.

Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasising computational fluency and the progressive development of students' mathematical sophistication. The book is organized in key domains of number instruction, including structuring numbers 1 to 20, knowledge of number words and numerals, conceptual place value, mental computation, written computation methods, fractions, and early algebraic reasoning.

Features include:

• fine-grained progressions of instruction within each domain;
• detailed descriptions of students' strategies and difficulties;
• assessment tasks with notes on students' responses;
• classroom-ready instructional activities;
• an accompanying CD with extensive instructional resources.

This book is designed for classroom and intervention teachers, special education teachers and classroom assistants. The book is an invaluable resource for mathematics advisors and coaches, learning support staff, numeracy consultants, curriculum developers, teacher educators and researchers. Contains a chapter on early algebraic reasoning and two chapters by Peter Gould on the learning an teaching of fractions.

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Table of Contents

Contents:

PART I:

1. Professional learning for quality instruction
2. Instruction in arithmetic

PART II:

3. Number words and numerals
4. Structuring numbers 1 to 20
5. Conceptual place value
6. Addition and subtraction to 100
7. Multiplication and division
8. Written computation

PART III:

9. Early algebraic reasoning
10. Understanding fractions
11. Connecting the teaching and learning of fractions

Glossary

Appendix: Instructional settings

References

Index