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Baroody, Arthur J.; Lai, Meng-lung; Li, Xia; Baroody, Alison E. – Mathematical Thinking and Learning: An International Journal, 2009
Little research has focused on an informal understanding of subtractive negation (e.g., 3 - 3 = 0) and subtractive identity (e.g., 3 - 0 = 3). Previous research indicates that preschoolers may have a fragile (i.e., unreliable or localized) understanding of the addition-subtraction inverse principle (e.g., 2 + 1 - 1 = 2). Recognition of a small…
Descriptors: Subtraction, Arithmetic, Number Concepts, Mathematics Instruction
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Charalambous, Charalambos Y.; Delaney, Sean; Hsu, Hui-Yu; Mesa, Vilma – Mathematical Thinking and Learning: An International Journal, 2010
In this paper, we report on a comparison of the treatment of addition and subtraction of fractions in primary mathematics textbooks used in Cyprus, Ireland, and Taiwan. To this end, we use a framework specifically developed to investigate the learning opportunities afforded by the textbooks, particularly with respect to the…
Descriptors: Textbooks, Foreign Countries, Comparative Analysis, Subtraction
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Torbeyns, Joke; De Smedt, Bert; Stassens, Nick; Ghesquiere, Pol; Verschaffel, Lieven – Mathematical Thinking and Learning: An International Journal, 2009
Subtraction problems of the type a - b = ? can be "flexibly" solved by various strategies, including the indirect addition strategy ("how much do I have to add to b to get at a?"). Little research has been done on the use of the indirect addition strategy with multi-digit numbers. The present literature review entails a summary…
Descriptors: Elementary School Students, Young Adults, Subtraction, Learning Strategies
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Nunes, Terezinha; Bryant, Peter; Hallett, Darcy; Bell, Daniel; Evans, Deborah – Mathematical Thinking and Learning: An International Journal, 2009
Two intervention studies are described. Both were designed to study the effects of teaching children about the inverse relation between addition and subtraction. The interventions were successful with 8-year-old children in Study 1 and to a limited extent with 5-year-old children in Study 2. In Study 1 teaching children about inversion increased…
Descriptors: Subtraction, Arithmetic, Number Concepts, Mathematics Instruction