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 emphasizing 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. 

Conceptual Place Value

Conceptual place value

Domain Overview

In Chapter 6, ‘Addition and Subtraction to 100’, we analyse the foundational arithmetic knowledge used in facile mental strategies for multi-digit addition and subtraction. We note that most strategies involve incrementing and decrementing numbers by tens, both ...

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