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Direct linkSchulz, 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
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
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
Download full textRuwisch, Silke; Neumann, Astrid – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
Currently, language competences in mathematics lessons gain more attention in Germany. The paper reports an interdisciplinary study of linguistics and mathematics education on reasoning. A model to rate the competences in arithmetic reasoning at primary level will be presented for discussion: mathematical reasoning is coded separately from its…
Descriptors: Foreign Countries, Language Skills, Mathematics Instruction, Mathematical Logic
