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Showing 1 to 15 of 75 results Save | Export
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Gabriel Gianni Cantanelli; Barbara A. Shipman – PRIMUS, 2024
Through galleries of graphs and short filmstrips, this paper aims to sharpen students' eyes for visually recognizing continuous functions. It seeks to develop intuition for what visual features of a graph continuity does and does not allow for. We have found that even students who can work correctly with rigorous definitions may not be able to…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Visual Aids
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Jungeun Park; Jason Martin; Michael Oehrtman; Douglas Rizzolo – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
Our study explores teaching practices that aim to promote students' learning to define an analytical object. A Calculus II instructor conducted a teaching experiment (TE) in which 11 students reinvented a formal definition of a limit over five class periods with the instructor's guidance. During the TE, the instructor's teaching practices were…
Descriptors: Mathematics Teachers, Mathematics Instruction, Teaching Methods, Calculus
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Dae S. Hong; Jae Ki Lee – International Journal of Mathematical Education in Science and Technology, 2024
This study examined college calculus instructors' preferences in solving two calculus tasks to examine college calculus instructors' use of important cognitive roots in understanding derivatives of function. Our results showed that only one instructor consistently uses cognitive roots while other instructors either focus on algebraic methods or…
Descriptors: College Mathematics, Calculus, College Faculty, Teaching Methods
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Saba Gerami – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
In this study, I present how eight U.S. college calculus instructors with different patterns of inquiry practices used instructional situations to frame instructional tasks for introducing derivatives graphically to students. During four interviews, the instructors proposed up to eight tasks for introducing derivatives physically, graphically,…
Descriptors: College Mathematics, Mathematics Instruction, Teaching Methods, Undergraduate Students
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Soosloff, Elisa; Huey, Maryann; Alexander, Daniel S. – PRIMUS, 2023
In this reflection of teaching, we describe a series of activities that introduce the Taylor series through dynamic visual representations with explicit connections to students' prior learning. Over the past several decades, educators have noted that curricular materials tend to present the Taylor series in a way that students often interpret as…
Descriptors: Mathematics Instruction, Visual Aids, Prior Learning, Teaching Methods
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Radmehr, Farzad; Tohidinasab, Khaled; Tavakoli, Mostafa – PRIMUS, 2023
Traditional lecturing is the dominant method of teaching mathematics in undergraduate mathematical courses in many countries, whereas active student-centered approaches such as inquiry-based learning have been shown in some instances to be more effective. Most teaching resources (inquiry-based tasks) available at the tertiary level are related to…
Descriptors: Teaching Methods, Inquiry, Mathematics Instruction, Graphs
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Cunningham, Elizabeth Petit; Seashore, Kimberly H.; Eaton, Katherine E. – PRIMUS, 2022
Graphs about Us (GaU) is an activity for building classroom community within mathematics classrooms. Through the creation and analysis of graphical representations of data about the students' lives in and out of school, this activity aims to allow each student to feel seen and validated in the class, create shared knowledge of students'…
Descriptors: Graphs, Mathematics Instruction, Teaching Methods, Undergraduate Students
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Sandefur, James; Lockwood, Elise; Hart, Eric; Greefrath, Gilbert – ZDM: Mathematics Education, 2022
In this paper, we provide an overall perspective on the teaching and learning of discrete mathematics. Our aim is to highlight what research has been conducted in this area and to connect it to existing research ideas for future work. We begin by characterizing discrete mathematics and its role in the school curriculum, highlighting themes,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematics Education, Relevance (Education)
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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
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Lee, Hwa Young; Hardison, Hamilton L.; Paoletti, Teo – For the Learning of Mathematics, 2020
Critical to constructing and interpreting graphs is an individual's understanding of the underlying coordinate systems, yet coordinate systems are often overlooked or taken-for-granted in both mathematics education research and curricula. In this paper, we foreground coordinate systems and present a distinction between two uses of coordinate…
Descriptors: Mathematics Instruction, Teaching Methods, Visual Aids, Graphs
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Marzocchi, Alison S.; Turner, Kelly; Druken, Bridget K. – PRIMUS, 2019
We present a mathematical activity called graph talks as a new pedagogical routine to intertwine social justice issues and mathematics. Adapted from "number talks," graph talks involve students analyzing, interpreting, and discussing real-life data represented in graphs. Graphs may be strategically selected to both highlight a relevant…
Descriptors: Mathematics, Mathematics Instruction, College Mathematics, Undergraduate Students
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Ekici, Celil; Gard, Andrew – PRIMUS, 2017
In a series of group activities supplemented with independent explorations and assignments, calculus students investigate functions similar to their own derivatives. Graphical, numerical, and algebraic perspectives are suggested, leading students to develop deep intuition into elementary transcendental functions even as they lay the foundation for…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Formulas
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Jungck, John R. – PRIMUS, 2022
Finite Mathematics has become an enormously rich and productive area of contemporary mathematical biology. Fortunately, educators have developed educational modules based upon many of the models that have used Finite Mathematics in mathematical biology research. A sufficient variety of computer modules that employ graph theory (phylogenetic trees,…
Descriptors: Mathematics Instruction, Teaching Methods, Mathematical Models, Learning Modules
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Mezhennaya, Natalia M.; Pugachev, Oleg V. – European Journal of Contemporary Education, 2019
Typical difficulties in learning probabilistic subjects are concerned with big data, complicated formulas and inconvenient figures in statistical analyses. The present research considers the usage of innovative teaching methods (e.g. electronic summary of lectures, presentations of lecture courses, task solution templates, electronic training…
Descriptors: Mathematics Instruction, Probability, Statistics, Teaching Methods
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Weinberg, Aaron; Wiesner, Emilie; Fukawa-Connelly, Tim – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
Although lecture is the traditional method of university mathematics instruction, there has been little empirical research that describes the structure of lectures. In this paper, we apply ideas from narrative analysis to an upper-level mathematics lecture. We develop a framework that enables us to conceptualize the lecture as consisting of…
Descriptors: Mathematics Instruction, Lecture Method, College Mathematics, Teaching Methods
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