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Showing 1 to 15 of 71 results Save | Export
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Candace Walkington; Matthew Bernacki; Elizabeth Leyva; Brooke Istas – Journal for Research in Mathematics Education, 2025
Algebra has been identified as a gatekeeper to careers in STEM, but little research exists on how algebra appears for practitioners in the workplace. Surveys and interviews were conducted with 77 STEM practitioners from a variety of fields, examining how they reported using algebraic functions in their work. Survey and interview reports suggest…
Descriptors: Algebra, Mathematics, Computation, Mathematical Formulas
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Lockwood, Elise; Purdy, Branwen – Journal for Research in Mathematics Education, 2019
The multiplication principle (MP) is a fundamental aspect of combinatorial enumeration, serving as an effective tool for solving counting problems and underlying many key combinatorial formulas. In this study, we used guided reinvention to investigate 2 undergraduate students' reasoning about the MP, and we sought to answer the following research…
Descriptors: Undergraduate Students, Multiplication, Mathematical Concepts, Mathematical Logic
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Anantharajan, Madhuvanti – Journal for Research in Mathematics Education, 2020
Counting is fundamental to early mathematics. Most studies of teaching counting focus on teachers observing children count. The present study compares mathematical ideas that 12 PK, transitional kindergarten (TK), and kindergarten teachers noticed from observing their own students count during a classroom session of Counting Collections with ideas…
Descriptors: Mathematics Skills, Kindergarten, Preschool Teachers, Preschool Children
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Hunt, Jessica; Silva, Juanita – Journal for Research in Mathematics Education, 2020
We investigated the extent to which one elementary school child with working-memory differences made sense of number as a composite unit and advanced her reasoning. Through ongoing and retrospective analysis of eight teaching-experiment sessions, we uncovered four shifts in the child's real-time negotiation of number over time: (a) initial…
Descriptors: Elementary School Students, Short Term Memory, Mathematical Logic, Learning Disabilities
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Pérez, Arnulfo – Journal for Research in Mathematics Education, 2018
This theoretical article describes a framework to conceptualize computational thinking (CT) dispositions--"tolerance for ambiguity," "persistence," and "collaboration"--and facilitate integration of CT in mathematics learning. CT offers a powerful epistemic frame that, by foregrounding core dispositions and practices…
Descriptors: Mathematics Education, Thinking Skills, Secondary School Teachers, Mathematics Teachers
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Beckmann, Sybilla; Izsák, Andrew – Journal for Research in Mathematics Education, 2015
In this article, we present a mathematical analysis that distinguishes two distinct quantitative perspectives on ratios and proportional relationships: variable number of fixed quantities and fixed numbers of variable parts. This parallels the distinction between measurement and partitive meanings for division and between two meanings for…
Descriptors: Mathematics Education, Mathematical Concepts, Multiplication, Measurement
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Lewis, Katherine E.; Fisher, Marie B. – Journal for Research in Mathematics Education, 2016
Although approximately 5-8% of students have a mathematical learning disability (MLD), researchers have yet to develop a consensus operational definition. To examine how MLD has been identified and what mathematics topics have been explored, the authors conducted a systematic review of 165 studies on MLD published between 1974 and 2013. To move…
Descriptors: Mathematics Education, Mathematics, Mathematics Instruction, Learning Disabilities
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Whitacre, Ian; Nickerson, Susan D. – Journal for Research in Mathematics Education, 2016
This study examines how collective activity related to multiplication evolved over several class sessions in an elementary mathematics content course that was designed to foster prospective elementary teachers' number-sense development. We document how the class drew on as-if-shared ideas to make sense of multidigit multiplication in terms of…
Descriptors: Preservice Teachers, Multiplication, Elementary School Teachers, Elementary School Mathematics
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Kloosterman, Peter – Journal for Research in Mathematics Education, 2010
Overall scale scores from the National Assessment of Educational Progress (NAEP) indicate that there was only minimal improvement in the mathematics performance of high school students between 1978 and 2004. Using recently released data from the Long-Term Trend (LTT) NAEP, this study describes the content covered on the LTT NAEP and the…
Descriptors: National Competency Tests, Mathematics Skills, Algebra, High School Students
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Levine, Deborah R. – Journal for Research in Mathematics Education, 1982
Relations among the number and types of strategies used by 89 college students when estimating, quantitative ability, and computational estimation ability were investigated. Students of relatively high quantitative ability were found to be better estimators and used more strategy types. (MP)
Descriptors: Basic Skills, Cognitive Processes, Computation, Educational Research
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Hope, John A. – Journal for Research in Mathematics Education, 1987
This case study examined the performance of a 13-year-old highly skilled mental calculator on mental multiplication tasks. She solved difficult tasks by using various ingenious calculation methods, including distributing, factoring, and recalling the product directly. Implications for instruction are reported. (Author/RH)
Descriptors: Academically Gifted, Adolescents, Computation, Elementary Education
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Hope, John A.; Sherrill, James M. – Journal for Research in Mathematics Education, 1987
Four methods of solutions and 12 calculative strategies were found from introspective reports of 15 skilled and 15 unskilled students in grades 11 and 12 doing mental multiplication. Unskilled students used strategies more suited to written than mental computation, while skilled students used strategies based on number properties. (MNS)
Descriptors: Cognitive Processes, Computation, Educational Research, Error Patterns
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Ashcraft, Mark H.; Christy, Kelly S. – Journal for Research in Mathematics Education, 1995
Tabulation of addition and multiplication fact frequencies in arithmetic texts for grades one through six showed that large facts, with operands larger than five, occurred only half as frequently as those with operands in the two-to-five range. Theoretical and practical implications are discussed. (MKR)
Descriptors: Addition, Computation, Elementary Education, Multiplication
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Reys, Robert E.; And Others – Journal for Research in Mathematics Education, 1995
Assessed attitude, computational preferences, and mental computational performance of 176, 187, 186, and 206 Japanese students in grades 2, 4, 6, and 8, respectively. Found wide ranges of performance on mental computation, that visual modes of presentation increased performance levels, and a narrow range of strategies. Contains assessments. (37…
Descriptors: Attitudes, Computation, Elementary School Students, Elementary Secondary Education
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Pepper, Kristine L.; Hunting, Robert P. – Journal for Research in Mathematics Education, 1998
Examines strategies used by preschool children to subdivide items and focuses on how counting and sharing relate to one another. Indicates that children exhibited alternative strategies--suggesting use of a recipient as a mental cycle-marker and an adjacent recipient strategy--with pauses between allocations suggesting a re-presentation of lots…
Descriptors: Computation, Fractions, Learning Strategies, Mathematics Education
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