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Erik Jacobson – Investigations in Mathematics Learning, 2024
This study used units coordination as a theoretical lens to investigate how whole number and fraction reasoning may be related for preservice teachers at the conclusion of a math methods class. The study contributes quantitative evidence that units coordination provides a common foundation for both mathematical knowledge for teaching whole number…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Instruction, Methods Courses
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Kulow, Torrey; Izsák, Andrew; Stevenson, Dean – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study extends recent advances developing and applying measures of mathematical content knowledge for teaching. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct but related components necessary for reasoning in terms of quantities when solving…
Descriptors: Fractions, Arithmetic, Thinking Skills, Numbers
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Olanoff, Dana; Feldman, Ziv; Welder, Rachael M.; Tobias, Jennifer M.; Thanheiser, Eva; Hillen, Amy F. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
Prospective teachers (PTs) need opportunities to develop fraction number sense, yet little research has explicated how this development occurs. Our research team collaboratively designed a task targeted at helping PTs develop fraction number sense through an exploration of fraction comparison strategies. This paper focuses on developing one…
Descriptors: Preservice Teachers, Fractions, Mathematical Concepts, Concept Formation
Fuller, Roberta Ann – 1996
The purpose of this study was to characterize and compare novice and experienced elementary teachers' pedagogical knowledge and pedagogical content knowledge of three major topics in mathematics: whole number operation, fractions, and geometry. The study participants were 26 preservice elementary teachers and 28 experienced kindergarten through…
Descriptors: Elementary Education, Elementary School Mathematics, Elementary School Teachers, Fractions
Olivier, Alwyn, Ed.; Newstead, Karen, Ed. – 1998
The third volume of this proceedings contains more of the research reports begun in Volume 2. Papers include: (1) "A Semiotic Model for Analyzing the Relationships between Thought, Language and Context in Mathematics Education" (Juan D. Godino and Angel M. Recio); (2) "Conceptions as Articulated in Different Microworlds Exploring…
Descriptors: Algebra, Beliefs, Cultural Influences, Data Processing
Olivier, Alwyn, Ed.; Newstead, Karen, Ed. – 1998
The first volume of this proceedings contains an introduction and the plenary, research forum, working group, and discussion group papers. Papers include: (1) "Resources as a Verb: Recontextualizing Resources in and for School Mathematics" (Jill Adler); (2) "Markets and Standards: The Politics of Education in a Conservative Age" (Michael Apple);…
Descriptors: Algebra, Beliefs, Cultural Influences, Data Processing
Olivier, Alwyn, Ed.; Newstead, Karen, Ed. – 1998
The second volume of this proceedings contains the first portion of the research reports. Papers include: (1) "Learning Algebraic Strategies Using a Computerized Balance Model" (James Aczel); (2) "Children's Perception of Multiplicative Structure in Diagrams" (Bjornar Alseth); (3) "A Discussion of Different Approaches to Arithmetic Teaching"…
Descriptors: Algebra, Beliefs, Cultural Influences, Data Processing
Olivier, Alwyn, Ed.; Newstead, Karen, Ed. – 1998
The fourth volume of this proceedings contains 29 full research reports continuing on from Volume 3, 84 short oral communications (abstracts only) and 34 poster presentations (abstracts only). The full papers include: (1) "Beliefs, Teacher Education and the History of Mathematics" (George N. Philippou and Constantinos Christou); (2)…
Descriptors: Algebra, Beliefs, Cultural Influences, Data Processing