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Finesilver, Carla – Educational Studies in Mathematics, 2022
Visuospatial representations of numbers and their relationships are widely used in mathematics education. These include drawn images, models constructed with concrete manipulatives, enactive/embodied forms, computer graphics, and more. This paper addresses the analytical limitations and ethical implications of methodologies that use broad…
Descriptors: Spatial Ability, Mathematics Education, Learning Strategies, Multiplication
Vanluydt, Elien; Verschaffel, Lieven; Van Dooren, Wim – Educational Studies in Mathematics, 2022
Several studies have shown that children do not only erroneously use additive reasoning in proportional word problems, but also erroneously use proportional reasoning in additive word problems. Traditionally, these errors were contributed to a lack of calculation and discrimination skills. Recent research evidence puts forward an additional…
Descriptors: Preferences, Word Problems (Mathematics), Problem Solving, Error Patterns
Son, Ji-Won; Senk, Sharon L. – Educational Studies in Mathematics, 2010
In order to give insights into cross-national differences in schooling, this study analyzed the development of multiplication and division of fractions in two curricula: "Everyday Mathematics" (EM) from the USA and the 7th Korean mathematics curriculum (KM). Analyses of both the content and problems in the textbooks indicate that…
Descriptors: Mathematics Curriculum, Textbooks, Foreign Countries, Multiplication
Barmby, Patrick; Harries, Tony; Higgins, Steve; Suggate, Jennifer – Educational Studies in Mathematics, 2009
We examine whether the array representation can support children's understanding and reasoning in multiplication. To begin, we define what we mean by understanding and reasoning. We adopt a "representational-reasoning" model of understanding, where understanding is seen as connections being made between mental representations of concepts, with…
Descriptors: Computer Uses in Education, Multiplication, Mathematical Concepts, Mathematical Logic

Heege, Hans Ter – Educational Studies in Mathematics, 1985
Children use acquired knowledge as they learn basic multiplication facts. If informal thinking strategies are stressed, the border between "figuring out" and "knowing by heart" gradually disappears. Children will acquire a flexible mental structure of multiplication facts instead of a collection of rules. (MNS)
Descriptors: Basic Skills, Cognitive Processes, Computation, Educational Research

Foxman, Derek; Beishuizen, Meindert – Educational Studies in Mathematics, 2002
Reanalyzes data obtained in 1987 on mental calculation strategies used by 11-year-olds in England, Wales, and Northern Ireland. Classifies mental strategies developed in the past decade in international research. Compares frequency and effectiveness of the strategies used by pupils of different levels of attainment. Discusses basic arithmetic…
Descriptors: Addition, Arithmetic, Basic Skills, Division

Anghileri, Julie – Educational Studies in Mathematics, 1989
Investigates the development of understanding of multiplication from the early school years through to the top primary age group. Identifies the children's difficulties and analyzes their solution strategies. Reports that progressive abstraction is related to the children's developing understanding of number and to their procedures for addition.…
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Interviews