
06439684
a
2015d.00673
Peled, Irit
Carraher, David W.
Signed numbers and algebraic thinking.
Kaput, James J. (ed.) et al., Algebra in the early grades. London: Routledge (ISBN 9780805854725/hbk; 9780805854732/pbk). Studies in Mathematical Thinking and Learning Series, 303328 (2008).
2008
London: Routledge
EN
H10
F40
C30
E40
algebraic reasoning
signed number operations
negative numbers
integers
word problems
algebraic context
early education in algebra
primary education
graph of a function
comparing functions
composing transformations
equivalent transformations
algebraic concepts
mathematical models
didactical models
money
preservice teacher education
equations
From the text: In Chapter 12, the authors claim there is a mutually supportive relationship between negative numbers and algebraic thinking: Negative numbers can be meaningfully taught within an ``algebrafied" curriculum and, likewise, negative numbers can facilitate the development of concepts important for the growth of algebraic thinking. The concepts in question include functions, equations, and especially the additive structure. The chapter further discusses the extension of the additive partpartwhole structure to deal with more than set inclusion situations.