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Cook, Emily – International Journal of Mathematical Education in Science and Technology, 2022
LEGO® stop-motion animations were developed to engage first-year university students in the topics of matrices, vectors, linear geometry and linear transformations. LEGO® provided a versatile medium through which a wide range of concrete and abstract concepts could be physically demonstrated in both two and three dimensions. It was also familiar…
Descriptors: Mathematics Instruction, College Mathematics, College Freshmen, Algebra
Borji, Vahid; Radmehr, Farzad; Font, Vicenç – International Journal of Mathematical Education in Science and Technology, 2021
The goal of the present study is to investigate the impact of procedural and conceptual teaching on students' mathematical performance over time. For this purpose, implicit differentiation and integration by parts were taught in two different ways to first-year university students of two different calculus courses: one course with Conceptual…
Descriptors: Mathematics Instruction, Mathematics Achievement, College Freshmen, Calculus
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
Kojic, Vedran; Krpan, Mira; Lukac, Zrinka – International Journal of Mathematical Education in Science and Technology, 2021
One of the fundamental topics taught in the microeconomics class is minimizing economic costs. It includes understanding the concept of derivatives and applying them. However, most of the first-year undergraduate students find calculus difficult to understand, which also results in poor knowledge of optimization. We use the method based on the…
Descriptors: Microeconomics, Mathematical Concepts, Costs, Mathematics Instruction
Stewart, Sepideh; Epstein, Jonathan; Troup, Jonathan – International Journal of Mathematical Education in Science and Technology, 2019
In this study, we analysed a mathematician's teaching journals on eigenvalues and eigenvectors in a first-year linear algebra course. The research team employed Tall's ["How humans learn to think mathematically: Exploring the three worlds of mathematics." Cambridge University Press] three-world model of embodied, symbolic and formal as a…
Descriptors: Mathematics Instruction, Professional Personnel, Teaching Methods, Reflection
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
Sevimli, Eyup – International Journal of Mathematical Education in Science and Technology, 2018
The purpose of this study was to determine how undergraduates comprehend the theoretical relations between differentiability and integrability concepts within the frame of proof schemes in analysis courses. The study participants were 172 freshmen from three different mathematics departments in Turkey. A questionnaire was used to evaluate the…
Descriptors: Undergraduate Students, Mathematics Instruction, Mathematical Logic, Knowledge Level
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)
Ní Shé, Caitríona; Mac an Bhaird, Ciarán; Ní Fhloinn, Eabhnat; O'Shea, Ann – International Journal of Mathematical Education in Science and Technology, 2017
In this paper we report on the outcomes of two surveys carried out in higher education institutions of Ireland; one of students attending first-year undergraduate non-specialist mathematics modules and another of their lecturers. The surveys aimed to identify the topics that these students found difficult, whether they had most difficulty with the…
Descriptors: Foreign Countries, College Freshmen, Student Surveys, College Faculty
Cárcamo Bahamonde, Andrea Dorila; Fortuny Aymemí, Josep Maria; Gómez i Urgellés, Joan Vicenç – International Journal of Mathematical Education in Science and Technology, 2017
In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…
Descriptors: Foreign Countries, College Freshmen, Engineering Education, Mathematical Models
Everingham, Yvette L.; Gyuris, Emma; Connolly, Sean R. – International Journal of Mathematical Education in Science and Technology, 2017
Contemporary science educators must equip their students with the knowledge and practical know-how to connect multiple disciplines like mathematics, computing and the natural sciences to gain a richer and deeper understanding of a scientific problem. However, many biology and earth science students are prejudiced against mathematics due to…
Descriptors: Learner Engagement, Mathematics Anxiety, Mathematics Instruction, Interdisciplinary Approach
Cook, Samuel A.; Fukawa-Connelly, Timothy – International Journal of Mathematical Education in Science and Technology, 2016
Studies have shown that at the end of an introductory statistics course, students struggle with building block concepts, such as mean and standard deviation, and rely on procedural understandings of the concepts. This study aims to investigate the understandings entering freshman of a department of mathematics and statistics (including mathematics…
Descriptors: Majors (Students), Mathematics, Statistics, College Freshmen
Koban, Lori; Sisneros-Thiry, Simone – International Journal of Mathematical Education in Science and Technology, 2015
FOIL is a well-known mnemonic that is used to find the product of two binomials. We conduct a large sample (n = 252) observational study of first-year college students and show that while the FOIL procedure leads to the accurate expansion of the product of two binomials for most students who apply it, only half of these students exhibit conceptual…
Descriptors: College Mathematics, College Freshmen, Mathematics Instruction, Teaching Methods
Altiparmak, Kemal – International Journal of Mathematical Education in Science and Technology, 2014
In mathematic courses, construction of some concepts by the students in a meaningful way may be complicated. In such circumstances, to embody the concepts application of the required technologies may reinforce learning process. Onset of learning process over daily life events of the student's environment may lure their attention and may…
Descriptors: Animation, Cognitive Processes, Mathematics Instruction, Experimental Groups
Ho, Weng Kin; Ho, Foo Him; Lee, Tuo Yeong – International Journal of Mathematical Education in Science and Technology, 2012
This article gives an elementary proof of the famous identity [image omitted]. Using nothing more than freshman calculus, the present proof is far simpler than many existing ones. This result also leads directly to Euler's and Neville's identities, as well as the identity [image omitted].
Descriptors: Calculus, Mathematics Instruction, Mathematical Logic, Mathematical Concepts
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