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Direct linkJitendra, Asha K.; Star, Jon R.; Rodriguez, Michael; Lindell, Mary; Someki, Fumio – Learning and Instruction, 2011
This study investigated the effectiveness of an instructional program (schema-based instruction, SBI) designed to teach 7th graders how to comprehend and solve proportion problems involving ratios/rates, scale drawings, and percents. The SBI program emphasized the underlying mathematical structure of problems via schematic diagrams, focused on a…
Descriptors: Middle School Students, Problem Solving, Grade 7, Thinking Skills
Humberstone, J.; Reeve, R.A. – Learning and Instruction, 2008
The algebraic competence of 72 12-year-old female students was examined to identify profiles of understanding reflecting different algebraic knowledge states. Beginning algebraic competence (mapping abilities: word-to-symbol and vice versa, classifying, and solving equations) was assessed. One week later, the nature of assistance required to map…
Descriptors: Profiles, Word Problems (Mathematics), Algebra, Mathematics Skills
Christou, Constantinos; Papageorgiou, Eleni – Learning and Instruction, 2007
Based on a synthesis of the literature in inductive reasoning, a framework for prescribing and assessing mathematics inductive reasoning of primary school students was formulated and validated. The major constructs incorporated in this framework were students' cognitive abilities of finding similarities and/or dissimilarities among attributes and…
Descriptors: Foreign Countries, Grade 5, Mathematical Concepts, Factor Analysis
Peer reviewedBlote, Anke W.; Klein, Anton S.; Beishuizen, Meindert – Learning and Instruction, 2000
Assessed the strategic flexibility of students in mental arithmetic up to the number 100. Results from 60 Dutch second graders show that students' preference for certain mathematical procedures depend on the number characteristics of the problems, indicating that the students had a good conceptual understanding of numbers and procedures. Actual…
Descriptors: Comprehension, Elementary School Students, Foreign Countries, Mathematical Concepts
Peer reviewedBednarz, Nadine; Garnier, Catherine – Learning and Instruction, 1996
A teaching experiment involving 30 third graders investigated the transformation of their concepts of numbers. Observations of their notations and problem-solving procedures show development that progresses from a focus on states to a type of reasoning in which changes become quantifiable "objects of awareness." (SLD)
Descriptors: Addition, Child Development, Elementary School Students, Grade 3
Peer reviewedWistedt, Inger; Martinsson, Mats – Learning and Instruction, 1996
A study of interactions among Swedish intermediate-grade students as they solved a nonstandard mathematics task confronting the phenomenon of infinity shows that the children can reach a considerable understanding of the problem by contextualizing the problem in different ways. The collective orchestration of problem variations results in enhanced…
Descriptors: Case Studies, Child Development, Comprehension, Cooperative Learning
Peer reviewedNesher, Pearla; Sukenik, Michal – Learning and Instruction, 1991
This study examines the effect of formal representation of blue and yellow color mixtures as rational numbers on students' ability to solve ratio problems comparing the mixtures. Sixty subjects participated, 20 from each of grades 7, 8, and 9 from a Haifa (Israel) junior high school. Introducing the formal representation improved performance for…
Descriptors: Color, Comparative Analysis, Concept Formation, Foreign Countries
