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Direct linkBeckmann, Sybilla; Kulow, Torrey K. – Advances in STEM Education, 2018
Findings are presented from an analysis of how six future middle-grade teachers reasoned with strip diagrams and a variable parts perspective on proportional relationships to develop and explain equations in two variables. One equation was for two quantities varying together and one was for a line through the origin in a coordinate plane. Both…
Descriptors: Preservice Teachers, Middle School Teachers, Visual Aids, Mathematical Concepts
Download full textIzsák, Andrew; Beckmann, Sybilla; Bradshaw, Laine – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The present study extends recent advances coordinating research on cognition and psychometric modeling around fractions. Recent research has demonstrated that the Diagnosing Teachers' Multiplicative Reasoning Fractions survey provides information about distinct components necessary for reasoning in terms of quantities when solving fraction…
Descriptors: Thinking Skills, Growth Models, Outcome Measures, Preservice Teachers
