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Showing 1 to 8 of 8 for “"Algebraic Reasoning"”.
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Developing early algebraic reasoning in a mathematical community of inquiry
This study explores the development of early algebraic reasoning in mathematical communities of inquiry. Under consideration is the different pathways teachers take as they develop their own understanding of early algebra and then enact changes in their classroom to facilitate algebraic reasoning …
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Number Sequences as Explanatory Models for Middle-Grades Students' Algebraic Reasoning
Early algebraic reasoning can be viewed as developing a bridge between arithmetic and algebra. Accordingly, this research examines how middle-grades students' arithmetic reasoning, classified by their number sequences, can be used to model their algebraic reasoning as it pertains to generalizing, …
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Students' mathematical modeling in algebra
Mathematical modeling and algebraic reasoning are two important components of mathematics education. In this study, I taught a mathematical modeling lesson to high school Algebra I students. My goal was to understand how mathematical modeling and algebraic reasoning are related. To analyze …
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Supporting Pre-service Elementary Teachers Early Algebraic Thinking with Technology Through Lesson Planning and TPACK
Algebraic thinking is an essential component of the K-12 mathematics curriculum. Early algebra focuses on the overall numeric structure (Kaput, 2008 ; Kieran,2018; Kieran et al., 2016) which focuses on the noticing of arithmetic patterns leading to generalizations supported by justification, …
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Modeling Middle Grade Students' Algebraic and Covariational Reasoning using Unit Transformations and Working Memory
Quantitative reasoning permeates mathematical thinking, and mathematics education researchers have taken a quantitative reasoning approach to examining and modeling students' mathematical thinking and development in various domains. From this approach, secondary and post-secondary researchers have …
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An Investigation of Teachers’ Noticing, Cognitive Demand, and Mathematical Knowledge for Teaching: Video Reflections in an Elementary Mathematics Context
… does not enhance the development of mathematical reasoning and ignores the research on students’ mathematical development (Blanton & Kaput, 2005; Stigler & Hiebert, 1999). Recommendations by the mathematics community are to broaden and strengthen teacher content knowledge in mathematics and to …
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Screw image space and its application to robotic grasping
… on the linear dependence of screws with detailed algebraic reasoning, which puts forward new properties of zero pitch screw combinations and theory of linear dependence of reciprocalscrew systems together with algebraic and geometric reasoning. The study is successfully applied to kinematic …
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Business Calculus Students’ Reasoning about Optimization Problems: A Study of Quantitative Reasoning in an Economic Context
… is scarce. Research on students’ quantitative reasoning at the post-secondary level is lacking. This qualitative study investigated the opportunity to learn about optimization problems, marginal change, and quantitative reasoning in an economic context via a business calculus textbook and from …