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McCulloch, Allison; Lovett, Jennifer; Edgington, Cyndi – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
The purpose of this study is to examine the use of a Vending Machine applet as a cognitive root for the development of preservice teachers understanding of function. The applet was designed to purposefully problematize common misconceptions associated with the algebraic nature of typical function machines. Findings indicated affordances and…
Descriptors: Preservice Teacher Education, Preservice Teachers, Figurative Language, Mathematical Concepts
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Nagle, Courtney; Moore-Russo, Deborah; Styers, Jodie L. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
This paper describes seven in-service teachers' interpretations of student statements about slope. The teachers interpreted sample student work, conjectured about student contributions, assessed the students' understanding, and positioned the students' statements in the mathematics curriculum. The teachers' responses provide insight into their…
Descriptors: Mathematics Instruction, Mathematics Teachers, Mathematical Concepts, Concept Formation
Anderson, Neil; McGowan, Aidan; Hanna, Philip; Busch, John – Australian Association for Research in Education, 2015
There is a perception amongst some of those learning computer programming that the principles of object-oriented programming (where behaviour is often encapsulated across multiple class files) can be difficult to grasp, especially when taught through a traditional, didactic "talk-and-chalk" method or in a lecture-based environment. We…
Descriptors: Programming, Concept Formation, Teaching Methods, Creative Teaching
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Busi, Rich; Lovin, LouAnn; Norton, Anderson; Siegfried, John; Stevens, Alexis; Wilkins, Jesse L. M. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
Supporting students to build robust fraction schemes and operations is an enduring challenge in mathematics education. Recent research has explored a developmental trajectory of fractions schemes and operations constructed by upper-elementary and middle school students in an effort to support student learning. This study broadened the existing…
Descriptors: Fractions, Elementary School Teachers, Middle School Teachers, Preservice Teachers
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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
Wright, Vince – Mathematics Education Research Group of Australasia, 2013
Concept image is proposed by Vinner and Tall (1981) to differentiate the elements and relationships that a learner constructs about a concept from formal mathematical definition for the same concept. The answers of 119 University students to an examination question are analysed to establish the concept images they have for circle and ellipse. The…
Descriptors: Preservice Teachers, Mathematics Instruction, Geometric Concepts, Concept Formation
Kai, Shiming; Paquette, Luc; Baker, Ryan S.; Bosch, Nigel; D'Mello, Sidney; Ocumpaugh, Jaclyn; Shute, Valerie; Ventura, Matthew – International Educational Data Mining Society, 2015
Increased attention to the relationships between affect and learning has led to the development of machine-learned models that are able to identify students' affective states in computerized learning environments. Data for these affect detectors have been collected from multiple modalities including physical sensors, dialogue logs, and logs of…
Descriptors: Video Technology, Interaction, Physics, Affective Behavior
Cheeseman, Jill; McDonough, Andrea; Ferguson, Sarah – Mathematics Education Research Group of Australasia, 2012
This paper reports on a design experiment regarding young children's concepts of mass measurement. 119 year one and two children were interviewed using a clinical interview both before and after the teaching period comprising five lessons that offered rich learning experiences regarding concepts of mass. The results of the interviews were that the…
Descriptors: Mathematics Instruction, Measurement, Elementary School Students, Interviews
Lamon, Susan J. – 1990
This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…
Descriptors: Coding, Cognitive Development, Cognitive Processes, Computation