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Roh, Kyeong Hah; Parr, Erika David; Eckman, Derek; Sellers, Morgan – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
The purpose of this paper is to highlight issues related to students' personal inferences that arise when students verbally explain their justification for calculus statements. We conducted clinical interviews with three undergraduate students who had taken first-semester calculus but had not yet been exposed to formal proof writing activities…
Descriptors: Undergraduate Students, Calculus, Mathematics Instruction, Inferences
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Wilkie, Karina J. – International Journal of Science and Mathematics Education, 2020
An important goal in school algebra is to help students notice the covariational nature of functional relationships, how the values of variables change in relation to each other. This study explored 102 Year 7 (12 to 13-year-old) students' covariational reasoning with their constructed graphs for figural growing patterns they had generalised. A…
Descriptors: Graphs, Secondary School Students, Generalization, Mathematical Concepts
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Uyangör, Sevinç Mert – Universal Journal of Educational Research, 2019
In the most general sense, mathematical thinking can be defined as using mathematical techniques, concepts, and methods, directly or indirectly, in the problem-solving process. In this study, efforts were made to include the Graph Theory of mathematics, which is found abundantly in physics, chemistry, computer networks, economics, administrative…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematics Skills, Cognitive Processes
Rosenblum, L. Penny; Zebehazy, Kim T.; Gage, Nicholas; Beal, Carole R. – Journal of Visual Impairment & Blindness, 2021
Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…
Descriptors: Students with Disabilities, Visual Impairments, Program Effectiveness, Intervention
Rosenblum, L. Penny; Zebehazy, Kim T.; Gage, Nicholas; Beal, Carole R. – Grantee Submission, 2021
Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…
Descriptors: Intervention, Visual Impairments, Teacher Attitudes, Teaching Methods
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Weber, Eric; Thompson, Patrick W. – Educational Studies in Mathematics, 2014
This paper presents a conceptual analysis for students' images of graphs and their extension to graphs of two-variable functions. We use the conceptual analysis, based on quantitative and covariational reasoning, to construct a hypothetical learning trajectory (HLT) for how students might generalize their understanding of graphs of…
Descriptors: Visual Aids, Abstract Reasoning, Learning Processes, Mathematics Instruction
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Beslin, Scott J.; Heck, Brian K.; Becnel, Jeremy J. – PRIMUS, 2008
The authors explore the importance of "range" and its relationship to continuously differentiable functions that have inverses when their graphs are reflected about lines other than y = x. Some open questions are posed for the reader. (Contains 5 figures.)
Descriptors: Mathematics Instruction, Graphs, College Mathematics, Algebra
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Roth, Wolff-Michael; Hwang, SungWon – Journal of Mathematical Behavior, 2006
The notions of "abstract" and "concrete" are central to the conceptualization of mathematical knowing and learning. Much of the literature takes a dualist approach, leading to the privileging of the former term at the expense of the latter. In this article, we provide a concrete analysis of a scientist interpreting an unfamiliar graph to show how…
Descriptors: Scientists, Mathematics Instruction, Generalization, Concept Formation
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Nathan, Mitchell J.; Kim, Sunae – Mathematical Thinking and Learning: An International Journal, 2007
Cross-sectional and longitudinal data from students as they advance through the middle school years (grades 6-8) reveal insights into the development of students' pattern generalization abilities. As expected, students show a preference for lower-level tasks such as "reading the data," over more distant predictions and generation of abstractions.…
Descriptors: Curriculum Design, Middle Schools, Graphs, Grade 6
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Hu, Xiangen, Ed.; Barnes, Tiffany, Ed.; Hershkovitz, Arnon, Ed.; Paquette, Luc, Ed. – International Educational Data Mining Society, 2017
The 10th International Conference on Educational Data Mining (EDM 2017) is held under the auspices of the International Educational Data Mining Society at the Optics Velley Kingdom Plaza Hotel, Wuhan, Hubei Province, in China. This years conference features two invited talks by: Dr. Jie Tang, Associate Professor with the Department of Computer…
Descriptors: Data Analysis, Data Collection, Graphs, Data Use
Stamper, John, Ed.; Pardos, Zachary, Ed.; Mavrikis, Manolis, Ed.; McLaren, Bruce M., Ed. – International Educational Data Mining Society, 2014
The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…
Descriptors: Information Retrieval, Data Processing, Data Analysis, Data Collection