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The Role of Relational Preference in Word-Problem Solving in 6- to 7-Year-Olds
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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
To Add or to Multiply in Open Problems? Unraveling Children's Relational Preference Using a Mixed-Method Approach
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Degrande, Tine; Verschaffel, Lieven; Van Dooren, Wim – Educational Studies in Mathematics, 2020
Previous research demonstrated that some children inappropriately solve multiplicative missing-value word problems additively, while others inappropriately solve additive missing-value word problems multiplicatively. Besides lacking skills, children's preference for additive or multiplicative relations has been shown to contribute to those errors.…
Descriptors: Elementary School Students, Mathematics Skills, Problem Solving, Multiplication
Microgenetic Analysis of Young Children's Shifts of Attention in Arithmetic Tasks: Underlying Dynamics of Change in Phases of Seemingly Stable Task Performance
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Voutsina, Chronoula; George, Lois; Jones, Keith – Educational Studies in Mathematics, 2019
A key aim of mathematics teaching is for children to develop appropriate and efficient strategies for solving tasks. The analysis presented in this paper moves beyond the exploration of changes in the strategies that children employ to solve tasks and extends to observation and exploration of changes that occur when their overall solving approach…
Descriptors: Young Children, Attention, Arithmetic, Problem Solving
Learning to Solve Addition and Subtraction Word Problems in English as an Imported Language
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Verzosa, Debbie Bautista; Mulligan, Joanne – Educational Studies in Mathematics, 2013
This paper reports an intervention phase of a design study aimed to assist second-grade Filipino children in solving addition word problems in English, a language they primarily encounter only in school. With Filipino as the medium of instruction, an out-of-school pedagogical intervention providing linguistic and representational scaffolds was…
Descriptors: Intervention, Subtraction, Linguistics, Elementary School Students
Semantic Structures of One-Step Word Problems Involving Multiplication or Division.
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Schmidt, Siegbert; Weiser, Werner – Educational Studies in Mathematics, 1995
Proposes a four-category classification of semantic structures of one-step word problems involving multiplication and division: forming the n-th multiple of measures, combinatorial multiplication, composition of operators, and multiplication by formula. This classification is compatible with semantic structures of addition and subtraction word…
Descriptors: Addition, Classification, Division, Elementary Education
The Role of Schemes in Two-Step Problems: Analysis and Research Findings.
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Nesher, Pearla; Hershkovitz, Sara – Educational Studies in Mathematics, 1994
Studied schemes involved in solving two-step arithmetic word problems in (n=1824) elementary schoolchildren in Israel. Compound schemes and combinations of operations were found to affect the difficulty level of the problems. Appendix includes two versions of the test instrument. (Contains 17 references.) (MKR)
Descriptors: Addition, Arithmetic, Division, Elementary Education