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.
Chapter 8: Written Computation
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, ...