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Belin, Mervenur; Akar, Gülseren Karagöz – Mathematics Teacher Educator, 2020
The understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students' understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real…
Descriptors: Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Number Concepts
Norton, Anderson; Ulrich, Catherine; Kerrigan, Sarah – North American Chapter of the International Group for the Psychology of Mathematics Education, 2020
We introduce a methodology for diagramming the ways students use sequences of mental actions to solve mathematical tasks. We studied 12 pre-service teachers as they solved a set of fractions tasks, ranked by cognitive demand. We present the unit transformation graphs for one of those pre-service teachers, to illustrate how she experienced and met…
Descriptors: Mathematics Education, Problem Solving, Preservice Teachers, Preservice Teacher Education
Flores, Margaret M.; Hinton, Vanessa M.; Taylor, Ja'Lia J. – Preventing School Failure, 2018
Students must leave elementary school with a firm understanding of fractions and decimals in order to make satisfactory progress in advanced mathematics. Firm understanding includes manipulation of rational numbers using different models of representation such as area and length. Research has demonstrated that a graduated sequence such as…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 5, Fractions

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