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Karen Zwanch; Heather Carlile Carter; Jianna Davenport – Research in Mathematics Education, 2024
This case study investigated the relationship between five undergraduate interior design students' reasoning with numerical units and reasoning about length and area. The multiplicative concepts frame participants' coordination of numerical units. Differences were found between participants' reasoning about length and area, based on their…
Descriptors: Undergraduate Students, Interior Design, Correlation, Mathematics Skills
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Mulligan, Joanne; Oslington, Gabrielle; English, Lyn – ZDM: The International Journal on Mathematics Education, 2020
An Australian longitudinal study of 319 Kindergartners developed, implemented and evaluated an intervention, the Pattern and Structure Mathematics Awareness Program (PASMAP). It comprised of repetitions and growing patterns, structured counting and grouping, grids and shapes, partitioning, additive and multiplicative structures, measurement and…
Descriptors: Foreign Countries, Kindergarten, Mathematical Concepts, Repetition
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Izsák, Andrew; Beckmann, Sybilla; Stark, Joy – Cognition and Instruction, 2022
The present study is motivated by a significant body of research documenting teachers' perennial difficulties with a critical swath of topics related to multiplication. In response, we track how Nina, a future middle grades mathematics teacher, made progress constructing explanations across topics by reasoning with measurement-based definitions of…
Descriptors: Multiplication, Mathematics Instruction, Pedagogical Content Knowledge, Middle School Teachers
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What Works Clearinghouse, 2021
In this set of tips, parents and caregivers will learn how to: (1) support children's understanding of fractions at home with activities on dividing objects (recommended for grades K-5); (2) support children's understanding of fractions at home with measurement activities (recommended for grades K-4); (3) support children's understanding of…
Descriptors: Mathematics Instruction, Fractions, Mathematical Concepts, Concept Formation
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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
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Huang, Hsin-Mei E.; Witz, Klaus G. – Journal of Curriculum and Teaching, 2013
This study investigated children's understanding of area measurement, including the concept of area and the area formula of a rectangle, as well as their strategic knowledge for solving area measurement problems. Twenty-two fourth-graders from three classes of a public elementary school in Taipei, Taiwan, participated in a one-on-one interview.…
Descriptors: Foreign Countries, Elementary School Students, Grade 4, Measurement