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Trenholm, S.; Hajek, B.; Robinson, C. L.; Chinnappan, M.; Albrecht, A.; Ashman, H. – International Journal of Mathematical Education in Science and Technology, 2019

The use of recorded lecture videos (RLVs) in mathematics instruction continues to advance. Prior research at the post-secondary level has indicated a tendency for RLV use in mathematics to be negatively correlated with academic performance, although it is unclear whether this is because regular users are generally weaker mathematics students…

Descriptors: Undergraduate Students, College Mathematics, Mathematics Instruction, Learner Engagement

Megalou, Foteini – International Journal of Mathematical Education in Science and Technology, 2019

This paper describes a research project implemented in a course of Real Analysis II. The aim of this project is to analyse students' comprehension of the limiting behaviour of a function from "R"[superscript 2] to "R" at a point "P"[subscript 0] focusing on the formal definitions. Alternative definitions and other…

Descriptors: Mathematics Instruction, Mathematical Concepts, Foreign Countries, Definitions

Yan, Xiaoheng; Mason, John; Hanna, Gila – International Journal of Mathematical Education in Science and Technology, 2019

This study investigates an exploratory teaching style used in an undergraduate geometry course to help students identify an ellipse. We attempt to probe beneath the surface of exploration to understand how the actions of teachers can contribute to developing students' competence in justifying an ellipse. We analyse the complex interactions between…

Descriptors: Mathematics Instruction, Teaching Methods, Geometry, Geometric Concepts

Maxwell, Mary; Gleason, Jim – International Journal of Mathematical Education in Science and Technology, 2019

Many large universities, community colleges and some smaller four-year colleges are turning to hybrid or online instruction for remedial and entry level mathematics courses, often assessed using online exams in a proctored computer lab environment. Faculty face the task of choosing questions from a publisher's text bank with very little, if any,…

Descriptors: Item Response Theory, Test Reliability, Item Banks, Algebra

Tisdell, Christopher C. – International Journal of Mathematical Education in Science and Technology, 2019

Recently, Wilmer III and Costa introduced a method into the mathematics education research literature which they employed to construct solutions to certain classes of ordinary differential equations. In this article, we build on their ideas in the following ways. We establish a link between their approach and the method of successive…

Descriptors: Mathematics Instruction, Problem Solving, Equations (Mathematics), Teaching Methods

Wares, Arsalan – International Journal of Mathematical Education in Science and Technology, 2019

The purpose of this note is to discuss how paper folding can be used to find the exact trigonometric ratios of the following four angles: 22.5°, 67.5°, 27°, and 63°.

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Mathematical Concepts

Hoban, Richard A. – International Journal of Mathematical Education in Science and Technology, 2019

Many students do not have a deep understanding of the integral concept. This article defines what a deep understanding of the integral is in respect to integration involving one independent variable; briefly discusses factors which may inhibit such an understanding; and then describes the design of a mathematical resource for introducing students…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Calculus

Caglayan, Günhan – International Journal of Mathematical Education in Science and Technology, 2018

This linear algebra note offers teaching and learning ideas in the treatment of the inner product space R[superscript m x n] in a technology-supported learning environment. Classroom activities proposed in this note demonstrate creative ways of integrating MATLAB technology into various properties of Frobenius inner product as visualization tools…

Descriptors: Algebra, Class Activities, Mathematics Instruction, Computer Uses in Education

Ponce Campuzano, Juan Carlos; Matthews, Kelly E.; Adams, Peter – International Journal of Mathematical Education in Science and Technology, 2018

In this paper, we report on an experimental activity for discussing the concepts of speed, instantaneous speed and acceleration, generally introduced in first year university courses of calculus or physics. Rather than developing the ideas of calculus and using them to explain these basic concepts for the study of motion, we led 82 first year…

Descriptors: Mathematics, History, College Freshmen, College Science

Howard, Emma; Meehan, Maria; Parnell, Andrew – International Journal of Mathematical Education in Science and Technology, 2018

In "Maths for Business", a mathematics module for non-mathematics specialists, students are given the choice of completing the module content via short online videos, live lectures or a combination of both. In this study, we identify students' specific usage patterns with both of these resources and discuss their reasons for the…

Descriptors: Lecture Method, Mathematics Instruction, Foreign Countries, Mixed Methods Research

Burns-Childers, Annie; Vidakovic, Draga – International Journal of Mathematical Education in Science and Technology, 2018

The purpose of this study was to gain insight into 30, first year calculus students' understanding of the relationship between the concept of vertex of a quadratic function and the concept of the derivative. APOS (action-process-object-schema) theory was applied as a guiding framework of analysis on student written work, think-aloud and follow up…

Descriptors: Calculus, Mathematics Instruction, Mathematical Concepts, Protocol Analysis

Engelke Infante, Nicole; Murphy, Kristen; Glenn, Celeste; Sealey, Vicki – International Journal of Mathematical Education in Science and Technology, 2018

Knowing when students have the prerequisite knowledge to be able to read and understand a mathematical text is a perennial concern for instructors. Using text describing Newton's method and Vinner's notion of concept image, we exemplify how prerequisite knowledge influences understanding. Through clinical interviews with first-semester calculus…

Descriptors: Calculus, Mathematical Concepts, Imagery, Schemata (Cognition)

Vandenbussche, J.; Ritter, L.; Scherrer, C. – International Journal of Mathematical Education in Science and Technology, 2018

Strong prerequisite skills are essential to student success in the calculus sequence; however, many students arrive in Calculus I with weaknesses that are difficult for them to overcome. In this paper, we describe an approach to early incentivized remediation of prerequisite material in a Calculus I course. We present data that supports the idea…

Descriptors: Calculus, Mathematics Instruction, Remedial Mathematics, At Risk Students

Turgut, Melih – International Journal of Mathematical Education in Science and Technology, 2018

In this work, students' thinking modes and representation types in linear algebra are investigated through statistical implicative analysis techniques. Specifically, our research question considers the implicative relationships between students' thinking modes and representation types of linear algebra. The participants were 74 undergraduate…

Descriptors: Interaction, Algebra, Correlation, Undergraduate Students

Buchbinder, Orly – International Journal of Mathematical Education in Science and Technology, 2018

The nine-point circle theorem is one of the most beautiful and surprising theorems in Euclidean geometry. It establishes an existence of a circle passing through nine points, all of which are related to a single triangle. This paper describes a set of instructional activities that can help students discover the nine-point circle theorem through…

Descriptors: Mathematical Logic, Validity, Geometry, Geometric Concepts