NotesFAQContact Us
Collection
Advanced
Search Tips
Laws, Policies, & Programs
Assessments and Surveys
Program for International…2
What Works Clearinghouse Rating
Showing 1 to 15 of 88 results Save | Export
Peer reviewed Peer reviewed
Direct linkDirect link
T. Clark – PRIMUS, 2024
A standard element of the undergraduate ordinary differential equations course is the topic of separable equations. For instructors of those courses, we present here a series of novel modeling scenarios that prove to be a compelling motivation for the utility of differential equations. Furthermore, the growing complexity of the models leads to the…
Descriptors: Mathematics Instruction, Undergraduate Study, College Mathematics, Equations (Mathematics)
Peer reviewed Peer reviewed
Direct linkDirect link
Yu, F. – PRIMUS, 2023
A productive understanding of rate of change concept is essential for constructing a robust understanding of derivatives. There is substantial evidence in the research that students enter and leave their Calculus courses with naive understandings of rate of change. Implementing a short unit on "what is rate of change" can address these…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Mathematical Concepts
Peer reviewed Peer reviewed
Direct linkDirect link
Zolt, Holly; Wrightsman, Elizabeth; Ford, Lucinda; Patterson, Cody L. – PRIMUS, 2023
We discuss student conceptions of improper integrals and infinity in the context of a second-semester calculus course (in a three-course sequence). Our observations stem from a sequence of activities used in an online course over a three-day period. Throughout the enactment of these activities, students are challenged to develop conceptions of…
Descriptors: Mathematical Concepts, Mathematics Education, Calculus, Online Courses
Peer reviewed Peer reviewed
Direct linkDirect link
Rabiei, Nima; Saleeby, Elias G. – International Journal of Mathematical Education in Science and Technology, 2022
In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R[superscript 3]. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard…
Descriptors: Mathematics Instruction, College Mathematics, Undergraduate Study, Calculus
Peer reviewed Peer reviewed
Direct linkDirect link
Alajmi, Amal Hussain; Al-Kandari, Maryam Mohammed – International Journal of Mathematical Education in Science and Technology, 2022
This article reports on a study of Kuwaiti college students' knowledge about the concept of functions. It also shows the connections these students make between different representations of functions. The results indicated that most students (96%) were unable to provide a definition of a function and only a third could provide examples of a…
Descriptors: Foreign Countries, College Students, Mathematical Concepts, Calculus
Peer reviewed Peer reviewed
Direct linkDirect link
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
Peer reviewed Peer reviewed
Direct linkDirect link
Maria Fahlgren; Mats Brunström – International Journal of Mathematical Education in Science and Technology, 2025
This paper provides some insights into the use of example-generating tasks in the design of a technology-rich learning environment to enhance students' mathematical thinking. The paper reports on an early stage of a design-based research project concerning the design of tasks and associated feedback utilising the affordances provided by a combined…
Descriptors: Mathematics Instruction, Educational Technology, Technology Uses in Education, Computer Software
Peer reviewed Peer reviewed
Direct linkDirect link
Reed, Zackery; Tallman, Michael A.; Oehrtman, Michael – PRIMUS, 2023
We offer an analysis of calculus assessment items that highlights ways to evaluate students' application of important meanings and support their engagement in generative ways of reasoning. Our central aim is to identify characteristics of items that require students to apply their understanding of key ideas. We coordinate this analysis of…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Concept Formation
Peer reviewed Peer reviewed
Direct linkDirect link
Sayonita Ghosh Hajra; Zareen Gul Aga – PRIMUS, 2024
The manuscript describes a community-based mathematical modeling task that was implemented in a Calculus I classroom to engage students in mathematical modeling. Twenty-five undergraduate students engaged in this activity. These students selected a context that they found interesting, posed questions, developed constraints, came up with solution…
Descriptors: Mathematical Models, Calculus, Undergraduate Students, Mathematics Instruction
Peer reviewed Peer reviewed
Direct linkDirect link
Wares, Arsalan – Mathematics Teacher: Learning and Teaching PK-12, 2021
Many mathematics teachers and students are familiar with the typical "box problem." In this type of problem, one takes a rectangular (or a square) sheet of paper and cuts out four squares from the four corners of the sheet and then folds the four strips up to form a box. Math problems like this are seen in middle school, high school,…
Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Mathematical Concepts
Peer reviewed Peer reviewed
Direct linkDirect link
Boyce, Steven; Grabhorn, Jeffrey A.; Byerley, Cameron – Mathematical Thinking and Learning: An International Journal, 2021
Adolescent and children's concepts of multiplication and fractions have been linked to differences in the number of levels of units they coordinate. In this paper, we discuss relationships between adult students' conceptual structures for coordinating units and their pre-calculus understandings. We conducted interviews and calculus readiness…
Descriptors: Correlation, Calculus, Readiness, Mathematical Logic
Peer reviewed Peer reviewed
Direct linkDirect link
Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2021
Many students do not have a deep understanding of slope. This paper defines what a deep understanding of slope is in terms of mathematics-education theory. The various factors which help explain why such a deep understanding is difficult to acquire are then discussed. These factors include the following: the different representations for slope;…
Descriptors: Mathematical Concepts, Concept Formation, Mathematics Instruction, College Freshmen
Peer reviewed Peer reviewed
Direct linkDirect link
Adiredja, Aditya P. – PRIMUS, 2021
The complexity in understanding the [epsilon-delta] definition has motivated research into the teaching and learning of the topic. In this paper I share my design of an instructional analogy called the Pancake Story and four different questions to explore the logical relationship between [epsilon] and [delta] that structures the definition. I…
Descriptors: Mathematics Instruction, College Mathematics, Teaching Methods, Calculus
Peer reviewed Peer reviewed
Direct linkDirect link
Nievergelt, Yves – PRIMUS, 2021
Answering a call by the "Common Vision" for instructional material to "establish stronger connections with other disciplines" and "work with professional-level technology tools," the present article shows how various aspects of fitting circles to data fit in existing courses from basic calculus to advanced calculus.
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Undergraduate Study
Peer reviewed Peer reviewed
Direct linkDirect link
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
Previous Page | Next Page »
Pages: 1  |  2  |  3  |  4  |  5  |  6