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.
In Chapter 2, we described the broad approach to developing mental computation and written computation. We sketched a progression in the mathematization of computation knowledge over five phases (see Figure 2.1):
- Initial context-bound mental strategies
- Sophisticated context-independent mental strategies, ...