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de la Cruz, Jessica A.; Garney, Sandra – Mathematics Teaching in the Middle School, 2016
It is beneficial for students to discover intuitive strategies, as opposed to the teacher presenting strategies to them. Certain proportional reasoning tasks are more likely to elicit intuitive strategies than other tasks. The strategies that students are apt to use when approaching a task, as well as the likelihood of a student's success or…
Descriptors: Mathematics Instruction, Mathematical Logic, Teaching Methods, Learning Strategies
Robinson, Katherine M.; Dube, Adam K. – Cognitive Development, 2009
Children's understanding of the inversion concept in multiplication and division problems (i.e., that on problems of the form "d multiplied by e/e" no calculations are required) was investigated. Children in Grades 6, 7, and 8 completed an inversion problem-solving task, an assessment of procedures task, and a factual knowledge task of simple…
Descriptors: Problem Solving, Knowledge Level, Early Adolescents, Preadolescents
Caron, Thomas A. – Clearing House: A Journal of Educational Strategies, Issues and Ideas, 2007
In this article, the author presents an innovative approach to teaching multiplication facts for children in middle school or younger. After introducing the dangers of some contradictions that persist, relating a brief summary of related research and guidelines regarding math facts and their relation to strategic approaches to more complex math,…
Descriptors: Teaching Methods, Learning Processes, Multiplication, Academic Failure