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Direct linkStephan, Michelle; Akyuz, Didem – Journal for Research in Mathematics Education, 2012
This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…
Descriptors: Mathematics Education, Numbers, Concept Formation, Subtraction
Peer reviewedFuson, Karen C.; Briars, Diane J. – Journal for Research in Mathematics Education, 1990
A learning and teaching approach using base-10 blocks to embody the English named-value system of number words and digit cards to embody the positional base-10 system of numeration is described. Examines the students' understanding and arithmetic skills on the multidigit arithmetic. (Author/YP)
Descriptors: Addition, Arithmetic, Elementary Education, Elementary School Mathematics
Peer reviewedBrush, Lorelei R. – Journal for Research in Mathematics Education, 1978
Two studies examine preschool children's knowledge of the effects of the physical processes of addition and subtraction on the relative amounts of two sets. Results indicate that most preschool children discover the nature of addition and subtraction outside of their formal education and rather than having to teach these ideas, teachers can use…
Descriptors: Addition, Concept Formation, Educational Research, Elementary School Mathematics
Peer reviewedBaroody, Arthur J. – Journal for Research in Mathematics Education, 1989
Analyzes error patterns of kindergartners' mental addition task. Eight weeks of computational practice affected the errors of unpracticed combinations on a retest. Seven of 10 children mastered previously unknown combinations involving zero by learning a relationship rather than the practice and memorization of individual facts. (Author/YP)
Descriptors: Addition, Error Patterns, Kindergarten Children, Mathematical Concepts
Peer reviewedKouba, Vicky L. – Journal for Research in Mathematics Education, 1993
Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)
Descriptors: Addition, Arithmetic, Book Reviews, Elementary Education
Peer reviewedCarpenter, Thomas P.; Franke, Megan L.; Jacobs, Victoria R.; Fennema, Elizabeth; Empson, Susan B. – Journal for Research in Mathematics Education, 1998
Presents a three-year longitudinal study investigating the development of children's (n=82) understanding of multidigit number concepts and operations in grades one through three by using interview processes. Provides an existence proof that children can invent strategies for adding and subtracting and illustrates both what that invention affords…
Descriptors: Addition, Arithmetic, Concept Formation, Creative Thinking
Peer reviewedBeishuizen, Meindert – Journal for Research in Mathematics Education, 1993
Describes a program in second-grade Dutch mathematics classes that emphasizes mental addition and subtraction of two-digit numbers up to 100. Deals with a strategy of counting by 10s from any number. (Contains 56 references.) (RLB)
Descriptors: Addition, Case Studies, Cognitive Processes, Cognitive Style
