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Kertil, Mahmut; Erbas, Ayhan Kursat; Cetinkaya, Bulent – International Journal of Science and Mathematics Education, 2023
This study examined a cohort of middle school pre-service mathematics teachers' understanding of the rate of change as they engaged in a model development sequence. By adopting a design-based research perspective, a model development sequence on the concept of rate of change has been designed and implemented as part of a mathematical modeling…
Descriptors: Preservice Teachers, Mathematics Teachers, Middle School Mathematics, Mathematics Instruction
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Brown, Rachael Eriksen; Epstein, Martha L.; Orrill, Chandra Hawley – Investigations in Mathematics Learning, 2020
Teacher knowledge, especially of proportional reasoning, is important, particularly in middle school grades in the United States. In this instrumental case study, one teacher's understanding of constant as it relates to proportions and how that understanding shifted over the course of a six hour professional development experience is discussed.…
Descriptors: Knowledge Base for Teaching, Mathematical Concepts, Mathematical Logic, Faculty Development
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Lamberg, Teruni; Wiest, Lynda R. – Mathematics Teacher Education and Development, 2015
The paper reports an investigation into how a group of elementary and middle school teachers collectively attempted to solve and understand a fraction division problem using an area model. Solving the word problem required that teachers determine how many two-thirds fit into three-fourths. The teachers struggled to conceptualise fraction division,…
Descriptors: Elementary School Teachers, Middle School Teachers, Problem Solving, Word Problems (Mathematics)
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McCormick, Kelly K. – Teaching Children Mathematics, 2015
To be able to support meaningful mathematical experiences, preservice elementary school teachers (PSTs) must learn mathematics in deep and meaningful ways (Ma 1999). They need to experience investigating and making sense of the mathematics they will be called on to teach. To expand their own--often limited--views of what it means to teach and…
Descriptors: Mathematics Instruction, Mathematical Concepts, Preservice Teachers, Elementary School Teachers
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Leung, Issic Kui Chiu; Ding, Lin; Leung, Allen Yuk Lun; Wong, Ngai Ying – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
This study is the part of a larger study on investigating Hong Kong (HK) prospective teachers' (PTs) subject matter knowledge (SMK) and Pedagogical Content Knowledge (PCK). In this paper, five HK PTs' and PC on teaching one topic regarding square root were investigated. The results suggest that insufficient understanding on the concept of…
Descriptors: Foreign Countries, Algebra, Teacher Competencies, Preservice Teachers
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Orrill, Chandra Hawley; Burke, James P. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2013
In this study, we considered how four teachers reasoned about proportional situations involving geometry. We used pilot interviews conducted with in-service middle grades teachers around a set of proportional tasks. Analysis relied on a knowledge in pieces lens to uncover the resources that each teacher used in solving the tasks and which…
Descriptors: Mathematics Instruction, Mathematical Concepts, Geometry, Interviews
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Kersting, Nicole B.; Givvin, Karen B.; Thompson, Belinda J.; Santagata, Rossella; Stigler, James W. – American Educational Research Journal, 2012
This study explores the relationships between teacher knowledge, teaching practice, and student learning in mathematics. It extends previous work that developed and evaluated an innovative approach to assessing teacher knowledge based on teachers' analyses of classroom video clips. Teachers watched and commented on 13 fraction clips. These written…
Descriptors: Video Technology, Teacher Effectiveness, Teacher Characteristics, Elementary School Teachers
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Khourey-Bowers, Claudia; Fenk, Christopher – Journal of Science Teacher Education, 2009
The purpose of this study was to explore the relationship between teachers' (N = 69) participation in constructivist chemistry professional development (PD) and enhancement of content (CK) and pedagogical content knowledge (PCK) (representational thinking and conceptual change strategies) and self-efficacy (PSTE). Quantitative measures assessed…
Descriptors: Constructivism (Learning), Change Strategies, Self Efficacy, Chemistry
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Nugent, Patricia M. – Mathematics Teaching in the Middle School, 2007
This article discusses the algorithm for multiplication that is referred to as lattice multiplication. Evidence of how the author's preservice students' conceptual understanding of the algorithm grew through the semester is given. In addition, the author extends the conceptualization of the algorithm from the multiplication of whole numbers to the…
Descriptors: Mathematics Education, Concept Formation, Multiplication, Preservice Teacher Education