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Simon, Martin A.; Della Volpe, Daniela; Velamur, Arundhati – Mathematical Thinking and Learning: An International Journal, 2023
Development of the cardinality principle, an understanding that the last number-word recited in counting a collection of items specifies the number of items in that collection, is a critical milestone in developing a concept of number. Researchers in early number development have endeavored to theorize its development. Here we critique two widely…
Descriptors: Mathematics Instruction, Teaching Methods, Numbers, Number Concepts
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Nurnberger-Haag, Julie; Alexander, Anita N.; Powell, Sarah R. – Mathematical Thinking and Learning: An International Journal, 2021
Although the complexity of children's number learning is recognized, trade books about number have been treated as a simple, undifferentiated set. This analysis of 186 children's books, however, categorized a distinct subset of books about number as "counting books." These counting books were complex with regard to portrayal of counting…
Descriptors: Childrens Literature, Books, Computation, Numeracy
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Schulz, Andreas – Mathematical Thinking and Learning: An International Journal, 2018
Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…
Descriptors: Computation, Mathematics Instruction, Multiplication, Arithmetic
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Salminen, Jonna; Koponen, Tuire; Räsänen, Pekka; Aro, Mikko – Mathematical Thinking and Learning: An International Journal, 2015
Weaknesses in early number skills have been found to be a risk factor for later difficulties in mathematical performance. Nevertheless, only a few intervention studies with young children have been published. In this study, the responsiveness to early support in kindergarteners with most severe difficulties was examined with two different computer…
Descriptors: At Risk Students, Kindergarten, Mathematics Skills, Computer Assisted Instruction
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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