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Wong, Monica – Mathematics Education Research Group of Australasia, 2010
Learning pathways capture the development of competence in a mathematical domain. They have been developed from empirical studies in the areas of mental computation and emergent numeracy concepts. These pathways afford teachers the opportunity to identify students' current levels of understanding, antecedent understandings and the steps that are…
Descriptors: Mental Computation, Grade 3, Mathematics, Identification
Hickendorff, Marian; van Putten, Cornelis M.; Verhelst, Norman D.; Heiser, Willem J. – Journal of Educational Psychology, 2010
Individual differences in strategy use (choice and accuracy) were analyzed. A sample of 362 Grade 6 students solved complex division problems under 2 different conditions. In the choice condition students were allowed to use either a mental or a written strategy. In the subsequent no-choice condition, they were required to use a written strategy.…
Descriptors: Individual Differences, Grade 6, Item Response Theory, Computation
Keiser, Jane M. – Mathematics Teaching in the Middle School, 2012
An interesting change has been occurring in the author's middle school mathematics classes. Some students have become creative, free-thinking inventors. If they have had little experience with an operation, they invent strategies of their own. Sometimes these strategies have been well informed and supported by strong mental math skills and a good…
Descriptors: Grade 8, Mathematics Skills, Mathematics Instruction, Middle School Students
Incikabi, Lütfi; Ayanoglu, Perihan; Uysal, Ramazan – International Electronic Journal of Elementary Education, 2020
This study aimed to reveal the conceptual and operational conceptions of sixth-grade students in the process of division. The focus of the study included the strategies used in the division process, the students' understanding of the division algorithm, and their ability to interpret the remainder in a real-life context. Being qualitative in…
Descriptors: Foreign Countries, Middle School Students, Grade 6, Mathematics Skills
Clarke, Doug M.; Roche, Anne – Educational Studies in Mathematics, 2009
As part of individual interviews incorporating whole number and rational number tasks, 323 grade 6 children in Victoria, Australia were asked to nominate the larger of two fractions for eight pairs, giving reasons for their choice. All tasks were expected to be undertaken mentally. The relative difficulty of the pairs was found to be close to that…
Descriptors: Numbers, Foreign Countries, Grade 6, Teaching Methods
Witzel, Bradley S.; Allsopp, David – Mathematics Teaching in the Middle School, 2007
Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.
Descriptors: Learning Strategies, Manipulative Materials, Special Education, Mathematics Instruction