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Teaching the Representations of Concepts in Calculus: the Case of the Intermediate Value Theorem
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David, Erika J.; Hah Roh, Kyeong; Sellers, Morgan E. – PRIMUS, 2020
This paper offers instructional interventions designed to support undergraduate math students' understanding of two forms of representations of Calculus concepts, mathematical language and graphs. We first discuss issues in students' understanding of mathematical language and graphs related to Calculus concepts. Then, we describe tasks, which are…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Students, Calculus
Translating between Graphs and Equations: The Influence of Context, Direction of Translation, and Function Type
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Van den Eynde, Sofie; van Kampen, Paul; Van Dooren, Wim; De Cock, Mieke – Physical Review Physics Education Research, 2019
We report on a study investigating the influence of context, direction of translation, and function type on undergraduate students' ability to translate between graphical and symbolic representations of mathematical relations. Students from an algebra-based and a calculus-based physics course were asked to solve multiple-choice items in which they…
Descriptors: Graphs, Equations (Mathematics), Mathematics Instruction, Physics
Using Genre Pedagogy to Promote Student Proficiency in the Language Required for Interpreting Line Graphs
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Smit, Jantien; Bakker, Arthur; van Eerde, Dolly; Kuijpers, Maggie – Mathematics Education Research Journal, 2016
The importance of language in mathematics learning has been widely acknowledged. However, little is known about how to make this insight productive in the design and enactment of language-oriented mathematics education. In a design-based research project, we explored how language-oriented mathematics education can be designed and enacted. We drew…
Descriptors: Graphs, Language Proficiency, Data Interpretation, Scaffolding (Teaching Technique)
Processes and Reasoning in Representations of Linear Functions
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Adu-Gyamfi, Kwaku; Bossé, Michael J. – International Journal of Science and Mathematics Education, 2014
This study examined student actions, interpretations, and language in respect to questions raised regarding tabular, graphical, and algebraic representations in the context of functions. The purpose was to investigate students' interpretations and specific ways of working within table, graph, and the algebraic on notions fundamental to a…
Descriptors: Algebra, Abstract Reasoning, Graphs, Case Studies
Strengthening Student Understanding of Mathematical Language through Verbal and Written Representations of the Intermediate Value Theorem
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Sealey, Vicki; Deshler, Jessica M.; Hazen, Kirk – PRIMUS, 2014
As part of a larger research study, this paper describes calculus students' reasoning about the Intermediate Value Theorem (IVT) in verbal, written, and graphical form. During interviews, students were asked to verbally describe the IVT in their own words. They then provided written descriptions, watched video of their verbal descriptions,…
Descriptors: Undergraduate Students, Calculus, Logical Thinking, Interviews
The Numeracy Handbook: A Resource for Literacy and Numeracy Teachers.
Lukin, Annabelle; Ross, Linda – 1997
The numeracy handbook is a practical guide for teachers of numeracy and literacy to learners of English as a Second Language. Focus is on teaching numeracy and integrating numeracy and literacy. It considers issues in defining and teaching numeracy, examines numeracy in the workplace, designing a course and a unit of work, and analyzes numeracy…
Descriptors: Adult Education, Calculators, Concept Formation, Course Organization