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Direct linkMelhuish, Kathleen; Czocher, Jennifer A. – For the Learning of Mathematics, 2020
Within a study of student reasoning in abstract algebra, we encountered the claim "division and multiplication are the same operation." What might prompt a student to make this claim? What kind of influence might believing it have on their mathematical development? We explored the philosophical roots of "sameness" claims to…
Descriptors: Mathematics Instruction, Elementary Secondary Education, Algebra, Multiplication
Maffia, Andrea; Mariotti, Maria Alessandra – For the Learning of Mathematics, 2018
Multiplication can be presented to students through different models, each one with its pros and cons. In this contribution we focus on the repeated sum and the array model to investigate the relations between the two models and those between them and multiplication properties. Formal counterparts are presented. Taking both a mathematical and…
Descriptors: Models, Numbers, Multiplication, Correlation
Lunney Borden, Lisa; Throop-Robinson, Evan; Carter, Ellen; Prosper, Suzanna – For the Learning of Mathematics, 2021
Building from the concept of verbing mathematics as a culturally consistent and enabling mathematics education practice for Mi'kmaw learners, the authors present an elementary multiplication lesson affectionately named "Sets of, Rows of, Jumps of". Through examination of this specific set of tasks emerging notions of structuring, play,…
Descriptors: Multiplication, Mathematics Instruction, Elementary School Students, Learning Processes
Zazkis, Rina – For the Learning of Mathematics, 2017
In many Canadian schools the acronym BEDMAS is used as a mnemonic to assist students in remembering the order of operations: Brackets, Exponents, Division, Multiplication, Addition, and Subtraction. In the USA the mnemonic is PEMDAS, where 'P' denotes parentheses, along with the phrase "Please Excuse My Dear Aunt Sally". In the UK the…
Descriptors: Mnemonics, Mathematics Instruction, Learning Strategies, Teaching Methods
Kontorovich, Igor' – For the Learning of Mathematics, 2018
How do students cope with and make sense of polysemy in mathematics? Zazkis (1998) tackled these questions in the case of 'divisor' and 'quotient'. When requested to determine the quotient in the division of 12 by 5, some of her pre-service teachers operated in the domain of integers and argued for 2, while others adhered to rational numbers and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Arithmetic
Coles, Alf – For the Learning of Mathematics, 2014
Drawing on the work of Gattegno, it is suggested that a powerful way of teaching mathematics is to introduce symbols as relationships between visible or tangible resources. The symbols are abstract (formal) from the beginning and yet there are concrete resources to support their use. Drawing on data from a research project in primary schools in…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Arithmetic
