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Craig J. Cullen; Lawrence Ssebaggala; Amanda L. Cullen – Mathematics Teacher: Learning and Teaching PK-12, 2024
In this article, the authors share their favorite "Construct It!" activity, which focuses on rate of change and functions. The initial approach to instruction was procedural in nature and focused on making use of formulas. Specifically, after modeling how to find the slope of the line given two points and use it to solve for the…
Descriptors: Models, Mathematics Instruction, Teaching Methods, Generalization
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Brendefur, Jonathan L.; Hughes, Gwyneth; Ely, Robert – International Journal for Mathematics Teaching and Learning, 2015
In this article we examine how secondary school students think about functional relationships. More specifically, we examined seven students' intuitive knowledge in regards to representing two real-world situations with functions. We found students do not tend to represent functional relationships with coordinate graphs even though they are able…
Descriptors: Secondary School Students, Knowledge Level, Mathematics Instruction, Mathematical Concepts
Lian, Lim Hooi; Yew, Wun Thiam – Online Submission, 2011
In this paper, researchers discussed the application of the generalization perspective in helping the primary school pupils to develop their pre-algebraic thinking in generalizing repeating pattern. There are two main stages of the generalization perspective had been adapted, namely investigating and generalizing the pattern. Since the Biggs and…
Descriptors: Generalization, Mathematical Concepts, Algebra, Elementary School Students
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Guerrero, Lourdes; Rojano, Teresa; Mavirikis, Manolis; Hoyles, Celia – North American Chapter of the International Group for the Psychology of Mathematics Education, 2011
We report findings of research that deals with secondary students' interaction with a digital microworld, eXpresser. eXpresser is designed to support students in constructing general figural patterns of square tiles and expressing the algebraic rules that underlie them. Our focus is on the sense production that emerges as students use eXpresser.…
Descriptors: Mathematics Instruction, Algebra, Educational Technology, Technology Uses in Education
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Ellis, Amy B. – Cognition and Instruction, 2007
This paper reports the mathematical generalizations of two groups of algebra students, one which focused primarily on quantitative relationships, and one which focused primarily on number patterns disconnected from quantities. Results indicate that instruction encouraging a focus on number patterns supported generalizations about patterns,…
Descriptors: Algebra, Teaching Methods, Mathematics Instruction, Mathematical Concepts
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Barnes, Tiffany, Ed.; Chi, Min, Ed.; Feng, Mingyu, Ed. – International Educational Data Mining Society, 2016
The 9th International Conference on Educational Data Mining (EDM 2016) is held under the auspices of the International Educational Data Mining Society at the Sheraton Raleigh Hotel, in downtown Raleigh, North Carolina, in the USA. The conference, held June 29-July 2, 2016, follows the eight previous editions (Madrid 2015, London 2014, Memphis…
Descriptors: Data Analysis, Evidence Based Practice, Inquiry, Science Instruction
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