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Stijn Van Der Auwera; Bert De Smedt; Joke Torbeyns; Lieven Verschaffel – European Journal of Psychology of Education, 2024
In recent years, an increasing number of studies have examined the association between mathematical abilities and executive functions (EFs). However, it remains unknown via which mechanisms' mathematical performance is associated with EFs. The current study examined the associations of overall task proficiency, strategy selection, and strategy…
Descriptors: Executive Function, Decision Making, Subtraction, Mathematics Instruction
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Wong, Terry Tin-Yau; Kwan, Kam-Tai – Developmental Psychology, 2023
The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…
Descriptors: Mathematics Instruction, Arithmetic, Problem Solving, Algebra
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Hwang, Sunghwan; Yeo, Sheunghyun; Son, Taekwon – International Electronic Journal of Elementary Education, 2021
Developing textbooks of optimal quality is crucial for enriching the students' learning and understanding. This study examined fraction addition and subtraction problems in the U.S. and South Korean mathematics textbooks according to the types of denominators. In particular, we investigated Everyday Mathematics (EM) and South Korean mathematics…
Descriptors: Fractions, Addition, Subtraction, Textbook Content
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Robinson, Katherine M.; Dube, Adam K. – Learning and Individual Differences, 2013
This study investigated the promotion of children's understanding and acquisition of arithmetic concepts and the effects of inhibitory skills. Children in Grades 3, 4, and 5 solved two sets of three-term addition and subtraction problems (e.g., 3 + 24 - 24, 3 + 24 - 22) and completed an inhibition task. Half of the participants received a…
Descriptors: Mathematical Concepts, Addition, Subtraction, Inhibition
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Newton, Kristie J.; Willard, Catherine; Teufel, Christopher – Elementary School Journal, 2014
The purpose of this study was to better understand how students with learning disabilities, including those who struggle specifically with mathematics, engage with fraction computation. In particular, we examined error patterns, the influence of like and unlike denominators on these patterns, and correct solution methods. Although skill-related…
Descriptors: Learning Disabilities, Mathematics Instruction, Error Patterns, Influences
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Laine, Anu; Näveri, Liisa; Ahtee, Maija; Pehkonen, Erkki – Center for Educational Policy Studies Journal, 2014
The purpose of this study is to determine how Finnish pupils' problem-solving skills develop from the 3rd to 5th grade. As research data, we use one non-standard problem from pre- and post-test material from a three-year follow-up study, in the area of Helsinki, Finland. The problems in both tests consisted of four questions related to each other.…
Descriptors: Foreign Countries, Elementary School Students, Problem Solving, Mathematics Skills
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Phelps, Katherine A. G. – Teaching Children Mathematics, 2012
During the winter of 2011, the author faced an instructional dilemma: Should she teach the concept of adding and subtracting fractions with unlike denominators using a "quick trick" for the sake of staying on schedule, or should she try something different in hopes that her students would gain understanding through their own methods? The latter…
Descriptors: Mathematics Instruction, Grade 5, Mathematical Concepts, Elementary School Mathematics
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Lemaire, Patrick; Callies, Sophie – Journal of Experimental Child Psychology, 2009
Strategies used to solve two-digit addition problems (e.g., 27 + 48, Experiment 1) and two-digit subtraction problems (e.g., 73 - 59, Experiment 2) were investigated in adults and in children from Grades 3, 5, and 7. Participants were tested in choice and no-choice conditions. Results showed that (a) participants used the full decomposition…
Descriptors: Grade 3, Subtraction, Arithmetic, Mathematical Concepts