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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
Kinnear, George; Wood, Anna K.; Gratwick, Richard – International Journal of Mathematical Education in Science and Technology, 2022
We describe the design and evaluation of an innovative course for beginning undergraduate mathematics students. The course is delivered almost entirely online, making extensive use of computer-aided assessment to provide students with practice problems. We outline various ideas from education research that informed the design of the course, and…
Descriptors: Undergraduate Students, Mathematics Instruction, College Mathematics, Online Courses
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
Hillock, Poh Wah; Khan, R. Nazim – International Journal of Mathematical Education in Science and Technology, 2019
This article is a follow-up to an earlier paper on the mathematics support learning tutorial programme (SLT), an intervention programme at The University of Queensland that targets students considered to be at risk of failing Calculus and Linear Algebra I, the first tertiary level mathematics subject at The University of Queensland. The first…
Descriptors: Tutorial Programs, College Freshmen, Remedial Mathematics, Foreign Countries
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
Hillock, Poh Wah; Jennings, Michael; Roberts, Anthony; Scharaschkin, Victor – International Journal of Mathematical Education in Science and Technology, 2013
This article describes a mathematics support programme at the University of Queensland, targeted at first-year engineering students identified as having a high risk of failing a first-year mathematics course in calculus and linear algebra. It describes how students were identified for the programme and the main features of the programme. The…
Descriptors: Engineering Education, College Freshmen, Calculus, Algebra