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Alyson E. Lischka; D. Christopher Stephens – Mathematics Teacher: Learning and Teaching PK-12, 2020
By using high-leverage models to connect student learning experiences to overarching concepts in mathematics, teachers can anchor learning in ways that allow students to make sense of content on the basis of their own prior experiences. A rectangular area model can be used as a tool for understanding problems that involve multiplicative reasoning.…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Curriculum, Learning Experience
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Flores, Margaret M.; Moore, Alexcia J.; Meyer, Jill M. – Psychology in the Schools, 2020
Elementary standards include multiplication of single-digit numbers and students advance to solve complex problems and demonstrate procedural fluency in algorithms. The ability to illustrate procedural fluency in algorithms is dependent on the development of understanding and reasoning in multiplication. Development of multiplicative reasoning…
Descriptors: Elementary School Students, Grade 4, Grade 5, Teaching Methods
Siemon, Dianne; Callingham, Rosemary; Day, Lorraine – Mathematics Education Research Group of Australasia, 2021
The capacity to recognise, represent, and reason about relationships between different quantities, that is, to think multiplicatively, has long been recognised as critical to success in school mathematics in the middle years and beyond. Building on recent research that found a strong link between multiplicative thinking and algebraic, geometrical,…
Descriptors: Multiplication, Thinking Skills, Mathematics Achievement, Correlation
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Izsak, Andrew – Cognition and Instruction, 2008
The present study contrasts mathematical knowledge that two sixth-grade teachers apparently used when teaching fraction multiplication with the Connected Mathematics Project materials. The analysis concentrated on those tasks from the materials that use drawings to represent fractions as length or area quantities. Examining the two teachers'…
Descriptors: Mathematics Education, Mathematics Instruction, Grade 6, Teacher Attitudes