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Direct linkGray, Eddie; Tall, David – Mathematics Education Research Journal, 2007
This paper considers mathematical abstraction as arising through a natural mechanism of the biological brain in which complicated phenomena are compressed into thinkable concepts. The neurons in the brain continually fire in parallel and the brain copes with the saturation of information by the simple expedient of suppressing irrelevant data and…
Descriptors: Symbols (Mathematics), Brain, Arithmetic, Mathematics Instruction
Warren, Elizabeth; Cooper, Tom J. – Mathematics Education Research Journal, 2005
This article examines students' ability to use the balance model to solve for unknowns. A teaching experiment was conducted in four Year 3 classrooms. This experiment focused on exploring the application of the balance model as an analogue for representing equations and solving for unknowns. The teaching experiment promoted a shift by students…
Descriptors: Young Children, Grade 3, Elementary School Students, Nonverbal Ability
