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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

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

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

Dunn, Michelle; Loch, Birgit; Scott, Wendy – International Journal of Mathematical Education in Science and Technology, 2018

First-year engineering students often struggle to see the relevance of theoretical mathematical concepts for their future studies and professional careers. This is an issue, as students who do not see relevance in fundamental parts of their studies may disengage from these parts and focus their efforts on other subjects they think will be more…

Descriptors: Partnerships in Education, Mathematics, Engineering Education, Foreign Countries

Park, Jungeun; DiNapoli, Joseph; Mixell, Robert A.; Flores, Alfinio – International Journal of Mathematical Education in Science and Technology, 2017

This study looks at the various verbal and non-verbal representations used in a process of modelling the number of annual plants over time. Analysis focuses on how various representations such as words, diagrams, letters and mathematical equations evolve in the mathematization process of the modelling context. Our results show that (1) visual…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Models, Equations (Mathematics)

van der Hoff, Quay; Harding, Ansie – International Journal of Mathematical Education in Science and Technology, 2017

This study focuses on the mathematics department at a South African university and in particular on teaching of calculus to first year engineering students. The paper reports on a cause-effect analysis, often used for business improvement. The cause-effect analysis indicates that there are many factors that impact on secondary school teaching of…

Descriptors: College Freshmen, Calculus, Engineering Education, Teaching Models

Jones, Stephen L. – International Journal of Mathematical Education in Science and Technology, 2017

Dr RL Moore was undoubtedly one of the finest mathematics teachers ever. He developed a unique teaching method designed to teach his students to think like mathematicians. His method was not designed to convey any particular mathematical knowledge. Instead, it was designed to teach his students to think. Today, his method has been modified to…

Descriptors: Mathematics Education, Mathematics Instruction, Mathematics Teachers, Teaching Methods

Tisdell, Chris; Loch, Birgit – International Journal of Mathematical Education in Science and Technology, 2017

Closed captioning of instructional videos is a topic that has not seen much discussion despite its importance for hearing-impaired students and recent legal ramifications if videos are not appropriately captioned. In particular, it is unclear what best practice in captioning videos should be to benefit all learners in disciplines such as…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Blended Learning

Wiggins, Harry; Harding, Ansie; Engelbrecht, Johann – International Journal of Mathematical Education in Science and Technology, 2017

This paper presents an enrichment case study to showcase a possible avenue for attending to the needs of academically strong mathematics students. We report on a group of university students who were presented with the opportunity of exploring a specific first year mathematics topic deeper, using an inquiry-based learning approach as part of an…

Descriptors: Enrichment, Enrichment Activities, Mathematics, Mathematics Instruction

Code, Warren; Merchant, Sandra; Maciejewski, Wes; Thomas, Matthew; Lo, Joseph – International Journal of Mathematical Education in Science and Technology, 2016

One goal of an undergraduate education in mathematics is to help students develop a productive disposition towards mathematics. A way of conceiving of this is as helping mathematical novices transition to more expert-like perceptions of mathematics. This conceptualization creates a need for a way to characterize students' perceptions of…

Descriptors: Mathematics, Mathematics Instruction, Attitudes, Undergraduate Students

Campos, Dilhermando Ferreira; Pinto, Márcia Maria Fusaro – International Journal of Mathematical Education in Science and Technology, 2016

In recent years, changes in the Brazilian economic and social scenario have generated a growing demand for higher education in the country. In response to this new context, the federal government launched in 2007 a programme aiming at expansion of the enrolment to public higher education. In such environment of changes, several proposals have…

Descriptors: Mathematics, Mathematics Instruction, Mathematics Education, Mathematics Teachers

Parker, K. Andrew – International Journal of Mathematical Education in Science and Technology, 2016

Basic arithmetic forms the foundation of the math courses that students will face in their undergraduate careers. It is therefore crucial that students have a solid understanding of these fundamental concepts. At an open-access university offering both two-year and four-year degrees, incoming freshmen who were identified as lacking in basic…

Descriptors: Remedial Mathematics, Mathematics, Mathematics Instruction, Mathematics Education

Caglayan, Gunhan – International Journal of Mathematical Education in Science and Technology, 2016

The purpose of this article is to offer teaching ideas in the treatment of the definite integral concept and the Riemann sums in a technology-supported environment. Specifically, the article offers teaching ideas and activities for classroom for the numerical methods of approximating a definite integral via left- and right-hand Riemann sums, along…

Descriptors: Teaching Methods, Technology Integration, Mathematics, Mathematics Education

Johnson, Estrella; Ellis, Jessica; Rasmussen, Chris – International Journal of Mathematical Education in Science and Technology, 2016

This paper is based on a large-scale empirical study designed to investigate Calculus I programmes across the United States to better understand the relationship between instructors' concerns about coverage, instructional practices, and the nature of the material covered. We found that there was no association between instructors feeling pressured…

Descriptors: College Mathematics, Mathematics, Mathematics Instruction, Calculus

Jones, Steven R. – International Journal of Mathematical Education in Science and Technology, 2015

Few studies on calculus limits have centred their focus on student understanding of limits at infinity or infinite limits that involve continuous functions (as opposed to discrete sequences). This study examines student understanding of these types of limits using both pure mathematics and applied-science functions and formulas. Seven calculus…

Descriptors: Calculus, Logical Thinking, Mathematics, Mathematical Concepts

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