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Zolfaghari, Maryam; Kosko, Karl W.; Austin, Christine K. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
This study presents an extension of the validity argument for the PCK-Fractions measure. PCK-Fractions is designed to assess the effectiveness of professional experiences in facilitating teachers' pedagogical content knowledge (PCK) for children's fraction reasoning in grades 3-5. We examined data across 101 participants from two Midwest…
Descriptors: Fractions, Mathematics Instruction, Pedagogical Content Knowledge, Validity
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Whitehead, Ashley N.; Walkowiak, Temple A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
This study examined pre-service elementary teachers' change in their understanding of fraction operations while taking a mathematics methods course. Specifically, their explanations and justifications for common algorithms for multiplication and division of fractions were coded using an existing framework (SOLO; Biggs, 1999) for the assessment of…
Descriptors: Preservice Teachers, Fractions, Mathematics Instruction, Mathematical Concepts
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Herbst, Patricio; Kosko, Karl – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
This paper documents efforts to develop an instrument to measure mathematical knowledge for teaching high school geometry (MKT-G). We report on the process of developing and piloting questions that purported to measure various domains of MKT-G. Scores on the final set of items had no statistical relationship with total years of experience…
Descriptors: High Schools, Secondary School Mathematics, Geometry, Knowledge Base for Teaching