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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
Baroody, Arthur J.; Li, Xia; Lai, Meng-lung – Mathematical Thinking and Learning: An International Journal, 2008
Hannula and Lehtinen (2001, 2005) defined spontaneous focusing on numerosity (SFON) as the tendency to notice the relatively abstract attribute of number despite the presence of other attributes. According to nativists, an innate concept of one to three directs young children's attention to these "intuitive numbers" in everyday situations--even…
Descriptors: Toddlers, Number Concepts, Attention, Visual Stimuli
Baroody, Arthur J.; Lai, Menglung – Mathematical Thinking and Learning: An International Journal, 2007
Previous research, which typically overestimated competence, indicates that preschoolers have an unreliable or a localized understanding of the addition-subtraction inverse principle (e.g., 2 + 1 - 1 = 2). Forty-eight Taiwanese 4- to 6- year-old participants were tested with a relatively conservative measure to gauge when a reliable and general…
Descriptors: Algebra, Preschool Children, Mathematics Skills, Foreign Countries

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