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Showing 1 to 15 of 23 results Save | Export
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Foster, Colin – For the Learning of Mathematics, 2022
In this article, I argue that the common practice across many school mathematics curricula of using a variety of different representations of number may diminish the coherence of mathematics for students. Instead, I advocate prioritising a single representation of number (the number line) and applying this repeatedly across diverse content areas.…
Descriptors: Mathematics Instruction, Mathematics Curriculum, Numbers, Multiplication
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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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Barahmand, Ali – International Journal of Mathematical Education in Science and Technology, 2020
The purpose of the present article is to investigate the definition of matrix multiplication as a central issue in linear algebra courses. Applying both historical and pedagogical approaches, it focuses on the philosophy of generating the usual matrix multiplication, as a special binary operation, with its partly unexpected form compared with the…
Descriptors: Definitions, Matrices, Multiplication, Algebra
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2021
The purpose of this work is to explore alternative geometric pedagogical perspectives concerning justifications to 'fast' multiplication algorithms in a way that fosters opportunities for skill and understanding within younger, or less algebraically inclined, learners. Drawing on a visual strategy to justify these algorithms creates pedagogical…
Descriptors: Teaching Methods, Mathematics Instruction, Multiplication, Geometric Concepts
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Kellogg, David; Li, Fang – Early Years: An International Journal of Research and Development, 2021
A grandmother attempts to teach her four-year-old granddaughter the multiplication tables using simple repetition, but they repeatedly start over at 'three fives'; the child keeps coming up with 'thirty-five'. We consider three possible explanations: self-perpetuating frequency of behavior, saliency of memory and Vygotsky's next or proximal zones…
Descriptors: Grandparents, Parent Child Relationship, Multiplication, Mathematics Instruction
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Kontorovich, Igor' – Educational Studies in Mathematics, 2018
This article is concerned with cognitive aspects of students' struggles in situations in which familiar concepts are reconsidered in a new mathematical domain. Examples of such cross-curricular concepts are divisibility in the domain of integers and in the domain of polynomials, multiplication in the domain of numbers and in the domain of vectors,…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematical Formulas, Algebra
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Clivaz, Stéphane – Educational Studies in Mathematics, 2017
This paper provides an analysis of a teaching episode of the multidigit algorithm for multiplication, with a focus on the influence of the teacher's mathematical knowledge on their teaching. The theoretical framework uses Mathematical Knowledge for Teaching, mathematical pertinence of the teacher and structuration of the milieu in a descending and…
Descriptors: Mathematics Instruction, Multiplication, Teaching Methods, Knowledge Level
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Venkat, Hamsa; Mathews, Corin – ZDM: The International Journal on Mathematics Education, 2019
In this paper we analyze the outcomes of a design experiment that sought to improve the multiplicative reasoning of 12-13 year-old learners across two schools in a South African context of low performance. Using a hybrid theoretical base in Realistic Mathematics Education, variation theory and analogical reasoning, a short-term intervention…
Descriptors: Multiplication, Logical Thinking, Low Achievement, Mathematics Instruction
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Askew, Mike – Curriculum Journal, 2018
This paper examines a problem described as widespread and long-standing in mathematics education: supporting pupils into multiplicative reasoning, a form of reasoning that has been noted as central to large tracts of secondary mathematics and beyond. Also noted, however, is a persistent perception of multiplicative situations only in terms of…
Descriptors: Mathematics Education, Multiplication, Mathematical Logic, Mathematical Concepts
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Kosko, Karl W. – School Science and Mathematics, 2019
Visual representations and manipulatives are a highly advocated mathematical tool for the teaching and learning of multiplication and division. Although there is some prior research on elementary teachers' general use of manipulatives and visual representations, there is little to no specific focus on use of such representations on a specific…
Descriptors: Grade 3, Elementary School Teachers, Mathematical Concepts, Mathematics Instruction
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Schneier, Lisa – Interchange: A Quarterly Review of Education, 2018
Originally written 30 years ago, this paper is an analysis of the central challenge of schooling--that of engaging fully the powers of students' minds in classroom learning. This challenge maintains its relevance today. The work of engaging what John Dewey referred to as students' "inner attention" becomes the focus of an investigation…
Descriptors: Learner Engagement, Attention, Teaching Methods, Research Methodology
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Magdas, Ioana – Acta Didactica Napocensia, 2012
Specialists in the field of mathematical education consider that the learning of multiplication has an extremely important role not only in the area of mathematics, but also in day to day life. We can distinguish two different stages in the process of teaching-learning multiplication: a first step implies the discovery of the results within the…
Descriptors: Mathematics Education, Multiplication, Teaching Methods, Learning Strategies
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Rathouz, Margaret – For the Learning of Mathematics, 2010
I explore the impact of ambiguous referral to the unit on understanding of decimal and fraction operations during episodes in two different mathematics courses for pre-service teachers (PSTs). In one classroom, the instructor introduces a rectangular area diagram to help the PSTs visualize decimal multiplication. A transcript from this classroom…
Descriptors: Figurative Language, Numbers, Mathematics Instruction, Preservice Teachers
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Zisimopoulos, Dimitrios A. – Journal of Behavioral Education, 2010
The present study examined the effectiveness of an instructional package that included an adapted version of pegword mnemonics paired with a picture fading technique in teaching two students with moderate intellectual disabilities to recall 28 single-digit multiplication facts between 2 and 9. The instructional package was assessed using a…
Descriptors: Mental Retardation, Multiplication, Mnemonics, Disabilities
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Poncy, Brian C.; Skinner, Christopher H.; Axtell, Philip K. – Psychology in the Schools, 2010
A multiple-probe-across-problem-sets (tasks) design was used to evaluate the effects of the Detect, Practice, and Repair (DPR) on multiplication-fact fluency development in seven third-grade students nominated by their teacher as needing remediation. DPR is a multicomponent intervention and begins with a group-administered, metronome-paced…
Descriptors: Maintenance, Multiplication, Remedial Instruction, Grade 3
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