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Brodie, Karin; Sanni, Rasheed – African Journal of Research in Mathematics, Science and Technology Education, 2014
Much of the work on teacher knowledge suggests that content knowledge shapes pedagogical content knowledge, and in fact is primary in the relationship between the two forms of knowledge. In this paper we challenge this view, arguing from a situated perspective on knowledge and learning, that pedagogical content knowledge strongly shapes content…
Descriptors: Pedagogical Content Knowledge, Interviews, Geometry, Communities of Practice
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Hauk, Shandy; Toney, Allison; Jackson, Billy; Nair, Reshmi; Tsay, Jenq-Jong – Dialogic Pedagogy, 2014
The accepted framing of mathematics pedagogical content knowledge (PCK) as part of mathematical knowledge for teaching has centered on the question: What mathematical reasoning, insight, understanding, and skills are required for a person to teach elementary mathematics? Many have worked to address this question in K-8 teaching. Yet, there remains…
Descriptors: Models, Pedagogical Content Knowledge, Mathematics Instruction, Teaching Experience
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Holmes, Vicki-Lynn; Miedema, Chelsea; Nieuwkoop, Lindsay; Haugen, Nicholas – Mathematics Educator, 2013
In an age when reform is based on standards and instruction is based on research, this article gives practical advice for how mathematics teachers can analyze errors in student problems to create interventions that aid not only the individual's development, but the entire class's as well. By learning how to correct mathematics students'…
Descriptors: Misconceptions, Mathematics Education, Error Correction, Algebra
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Lewis, Jennifer M.; Blunk, Merrie L. – Journal of Curriculum Studies, 2012
This paper compares lessons on linear equations from the same curriculum materials taught by two teachers of different levels of mathematical knowledge for teaching (MKT). The analysis indicates that the mathematical quality of instruction in these two classrooms appears to be a function of differences in MKT. Although the two teachers were…
Descriptors: Equations (Mathematics), Algebra, Mathematics Instruction, Teaching Methods
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Gordon, Sheldon P. – Mathematics Teacher, 2010
One special characteristic of any exponential growth or decay function f(t) = Ab[superscript t] is its unique doubling time or half-life, each of which depends only on the base "b". The half-life is used to characterize the rate of decay of any radioactive substance or the rate at which the level of a medication in the bloodstream decays as it is…
Descriptors: Mathematics Instruction, Mathematical Concepts, Algebra, Equations (Mathematics)
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Brown, Irving A.; Davis, Trina J.; Kulm, Gerald – Journal of Negro Education, 2011
This article presents our plans and initial work to explore how mathematics teacher education programs can prepare teachers for diverse middle grades classrooms. It describes the start-up of a five-year National Science Foundation project to design, develop, and test technology-enriched teacher preparation strategies to address equity in algebra…
Descriptors: Preservice Teacher Education, Educational Technology, Teaching Skills, Mathematics Teachers
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Nillas, Leah A. – International Journal for Mathematics Teaching and Learning, 2010
Qualitative research methods were employed to investigate characterization of preservice teachers' mathematical understanding. Responses on test items involving algebraic relationships were analyzed using with-in case analysis (Miles and Huberman, 1994) and Pirie and Kieren's (1994) model of growth of mathematical understanding. Five elementary…
Descriptors: Preservice Teachers, Test Items, Mathematics Instruction, Knowledge Level
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Feuerborn, Laura L.; Chinn, Donald; Morlan, Garvin – Professional Development in Education, 2009
This study is an evaluation on whether middle-level mathematics teachers' participation in a week-long in-service course on middle-level mathematics concepts increases their understanding of this content. A secondary purpose of this study is an exploration of teacher perceptions before and after the institute via self-report surveys. Participants…
Descriptors: Test Results, Mathematics Teachers, Probability, Teacher Attitudes
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Boscardin, Christy Kim; Aguirre-Munoz, Zenaida; Stoker, Ginger; Kim, Jinok; Kim, Mikyung; Lee, Janet – Educational Assessment, 2005
The purpose of this study was to examine how various opportunity to learn (OTL) variables impact student outcomes and whether these effects are consistent across different subject areas. In this study, we examined the impact of OTL variables on student performance on English and algebra assessments. Despite the differences in the subject areas, 3…
Descriptors: Algebra, Academic Achievement, English Instruction, Scores
McGowen, Mercedes A.; Davis, Gary E. – 2001
This article addresses the question: "What are the implications for the preparation of prospective elementary teachers of 'early algebra' in the elementary grades curriculum?" Part of the answer involves language aspects of algebra: in particular, how a change in pre-service teachers' attitudes to algebra, from instrumental to relational, is…
Descriptors: Algebra, Elementary Education, Elementary School Teachers, Higher Education