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Schulz, Andreas – Mathematical Thinking and Learning: An International Journal, 2018
Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…
Descriptors: Computation, Mathematics Instruction, Multiplication, Arithmetic
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Kunina-Habenicht, Olga; Rupp, André A.; Wilhelm, Oliver – International Journal of Testing, 2017
Diagnostic classification models (DCMs) hold great potential for applications in summative and formative assessment by providing discrete multivariate proficiency scores that yield statistically driven classifications of students. Using data from a newly developed diagnostic arithmetic assessment that was administered to 2032 fourth-grade students…
Descriptors: Grade 4, Foreign Countries, Classification, Mathematics Tests
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Raddatz, Julia; Kuhn, Jörg-Tobias; Holling, Heinz; Moll, Kristina; Dobel, Christian – Journal of Learning Disabilities, 2017
The aim of the present study was to investigate the cognitive profiles of primary school children (age 82-133 months) on a battery of basic number processing and calculation tasks. The sample consisted of four groups matched for age and IQ: arithmetic disorder only (AD; n = 20), reading disorder only (RD; n = 40), a comorbid group (n = 27), and an…
Descriptors: Arithmetic, Reading Difficulties, Numbers, Computation
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Moser Opitz, Elisabeth; Freesemann, Okka; Prediger, Susanne; Grob, Urs; Matull, Ina; Hußmann, Stephan – Journal of Learning Disabilities, 2017
As empirical studies have consistently shown, low achievement in mathematics at the secondary level can often be traced to deficits in the understanding of certain basic arithmetic concepts taught in primary school. The present intervention study in middle schools evaluated whether such learning deficits can be reduced effectively and whether the…
Descriptors: Middle School Students, Remedial Instruction, Remedial Mathematics, Mathematics Instruction
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Lindberg, Sven; Linkersdörfer, Janosch; Ehm, Jan-Henning; Hasselhorn, Marcus; Lonnemann, Jan – Journal of Education and Learning, 2013
In the course of elementary school, children start to develop an academic self-concept reflecting their motivation, thoughts, and feelings about a specific domain. For the domain of mathematics, gender differences can emerge which are characterized by a less pronounced math self-concept for girls. However, studies are rather sparse regarding the…
Descriptors: Gender Differences, Elementary School Students, Mathematics Skills, Self Concept