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Direct linkIzsák, 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
Lloyd, Gwendolyn; Beckmann, Sybilla; Zbiek, Rose Mary; Cooney, Thomas – National Council of Teachers of Mathematics, 2010
Are sequences functions? What can't the popular "vertical line test" be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? Helping high school students develop a robust understanding of functions requires…
Descriptors: Calculus, Misconceptions, Mathematics Instruction, Mathematics Teachers
