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Jain, Sonal; Leung, Ho-Hon; Kamalov, Firuz – Mathematics Teaching Research Journal, 2022
Understanding the concept of area requires an understanding of the relationship between geometry and multiplication. The multiplicative reasoning required to find the areas of regular figures is used in many courses in elementary mathematical education. This paper explores various methods in which multiplicative reasoning is incorporated into the…
Descriptors: Mathematics Instruction, Mathematical Logic, Geometry, Multiplication
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Panorkou, Nicole – Cognition and Instruction, 2021
This study presents the results of a series of design experiments that aimed to engage twelve fourth-grade students in mathematical activity exploring the volume of right prisms and cylinders as a dynamic sweep of a surface through a height, an approach that is referred to as Dynamic Measurement for Volume (DYME-V). This article describes this…
Descriptors: Thinking Skills, Measurement, Grade 4, Elementary School Students
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Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2021
The purpose of this work is to explore alternative geometric pedagogical perspectives concerning justifications to 'fast' multiplication algorithms in a way that fosters opportunities for skill and understanding within younger, or less algebraically inclined, learners. Drawing on a visual strategy to justify these algorithms creates pedagogical…
Descriptors: Teaching Methods, Mathematics Instruction, Multiplication, Geometric Concepts
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Basu, Debasmita; Panorkou, Nicole – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
This study is part of a larger project exploring students' thinking of Dynamic Measurement (DYME), an approach to area measurement that engages students in dynamic digital experiences of measuring rectangular surfaces through sweeping lengths. The goal of this study was to evaluate the extent to which students could bridge the mathematical…
Descriptors: Measurement, Mathematics Instruction, Grade 3, Elementary School Students
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Eames, Cheryl L.; Miller, Amanda L.; Kara, Melike; Cullen, Craig J.; Barrett, Jeffrey E. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
This report describes the longitudinal development of one student, Drew, in terms of his unit concepts in area and volume measurement situations across Grades 2 through 5. Data were collected during individual interviews and an open-response assessment within the context of a four-year longitudinal teaching experiment. Results indicate that Drew's…
Descriptors: Longitudinal Studies, Concept Formation, Elementary School Students, Interviews
Pateman, Neil A., Ed; Dougherty, Barbara J., Ed.; Zilliox, Joseph T., Ed. – International Group for the Psychology of Mathematics Education, 2003
This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) The Affective Views of Primary School Children (Peter Grootenboer); (2) Theoretical Model of Analysis of Rate Problems in Algebra (Jose Guzman, Nadine Bednarz and Fernando Hitt); (3) Locating Fractions on…
Descriptors: Preservice Teacher Education, Preservice Teachers, Mathematics Education, Validity