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Hodgen, Jeremy; Adkins, Michael; Tomei, Anthony – Teaching Mathematics and Its Applications, 2020

Participation in any kind of mathematical study during upper secondary education in England is significantly lower than in other educational systems. As a result, many English students enter university at age 18 or 19 having not studied mathematics for 2 years or more and relatively large proportions of students entering numerate degree programmes…

Descriptors: Foreign Countries, College Readiness, Mathematics Skills, Undergraduate Students

Bolondi, Giorgio; Ferretti, Federica; Maffia, Andrea – Teaching Mathematics and Its Applications, 2020

The process of pairing a name with representations or peculiar properties permeates many mathematics classroom situations. In school, many practices go under the label 'definition', even though they can be very different from what mathematicians conceive as a formal definition, and in fact there are substantial differences between these different…

Descriptors: Algebra, Mathematical Formulas, Definitions, High Schools

Dzator, Michael; Dzator, Janet – Teaching Mathematics and Its Applications, 2020

The Mathematics and Statistics Support Centre (MSSC) at Central Queensland University (CQU), which is part of the Academic Learning Centre (ALC), has been in operation since 1984 as the first MSSC in Australia. The Mathematics Learning Support (MLS) centres have spread to almost every university in Australia currently. The MSSC at CQU offers free…

Descriptors: Academic Support Services, College Mathematics, Statistics, Foreign Countries

Klymchuk, Sergiy; Spooner, Kerri – Teaching Mathematics and Its Applications, 2020

The paper presents results of two case studies with undergraduate students majoring in applied mathematics and engineering. The first case study deals with students' preferences for and difficulties with application problems and pure mathematics questions in their courses. The students were majoring in applied mathematics and taking a second-year…

Descriptors: Mathematics Instruction, Undergraduate Students, Student Attitudes, Preferences

Kuznetsova, Elena – Teaching Mathematics and Its Applications, 2019

The objective of this article is to study undergraduate student satisfaction with the educational programme in Applied Mathematics in terms of identification of areas for teaching process improvement. Currently, there are no instruments for student evaluation of teaching accepted by the teaching community in Russia, and student feedback…

Descriptors: Student Satisfaction, Educational Quality, Mathematics Instruction, Instructional Improvement

McAlinden, Mary – Teaching Mathematics and Its Applications, 2019

Mathematics education is highly valued in advanced economies due to its role in developing skilled workforces, economic resilience and social well-being. However, university academics across disciplines regularly bemoan undergraduate students' under-preparedness for the mathematical and quantitative demands of undergraduate degree programmes. In…

Descriptors: Foreign Countries, Mathematics Education, Educational History, Natural Sciences

Radmehr, Farzad; Drake, Michael – Teaching Mathematics and Its Applications, 2019

Previous studies have explored students' understanding of the relationship between definite integrals and areas under curves, but not their metacognitive experiences and skills while solving such problems. This paper explores students' mathematical performance, metacognitive experiences and metacognitive skills when solving integral-area tasks by…

Descriptors: Metacognition, Mathematical Concepts, Problem Solving, Student Experience

Tisdell, Christopher C. – Teaching Mathematics and Its Applications, 2019

In this work we critically examine a mnemonic designed for the pedagogy of first-order ordinary differential equations. The particular mnemonic takes the form of the SHIELDS acronym. We perform a critical analysis on mnemonics, outlining some of their benefits and limitations from the literature. As a result, we propose a general mnemonic model…

Descriptors: Calculus, Mnemonics, Mathematics Instruction, College Mathematics

Habala, Peter; Demlova, Marie – Teaching Mathematics and Its Applications, 2019

Arguably the largest obstacle freshmen face in their mathematics courses is their unfamiliarity with the language of mathematics. Addressing this problem right at the start seems like a sensible strategy, as comprehension of mathematical communication helps students in all mathematics courses they will take. In this paper we discuss general…

Descriptors: Mathematics Instruction, Teaching Methods, Vocabulary Development, Barriers

Farrell, Fionnuala; Carr, Michael – Teaching Mathematics and Its Applications, 2019

Over the last number of years we have gradually been introducing a project based learning approach to the teaching of engineering mathematics in Dublin Institute of Technology. Several projects are now in existence for the teaching of both second-order differential equations and first order differential equations. We intend to incrementally extend…

Descriptors: Student Projects, Engineering Education, Equations (Mathematics), Teaching Methods

Linke, Markus; Landenfeld, Karin – Teaching Mathematics and Its Applications, 2019

In engineering sciences like mechanical or automotive engineering, pre-knowledge in mathematics is required to follow deeply specific engineering lectures. Mathematical skills are essential preconditions to successfully complete engineering lectures. It is necessary that these preconditions are identified for each individual student so that…

Descriptors: Competency Based Education, Engineering Education, Mechanics (Process), Mathematics Skills

Pinto, Carla; Nicola, Susana; Mendonça, Jorge; Velichová, Daniela – Teaching Mathematics and Its Applications, 2019

The Fourth Industrial Revolution era has arrived, according to the World Economic Forum. Everything is changing (viz., artificial intelligence, automation, intelligent robots, self-driving cars and genetic editing) and exciting opportunities accompanied with major challenges come to the surface. On the other hand, major difficulties may also rise,…

Descriptors: Mathematics Instruction, Teaching Methods, 21st Century Skills, Educational Innovation

Greene, Mairead; Shorter, Paula – Teaching Mathematics and Its Applications, 2017

The goal of this article is to introduce the revised Conceptual Understanding Weighting System (CUWS) Greene & Shorter (2012, Trans. Dial.), a tool for categorizing and weighting a mathematical task in order to identify the level of conceptual understanding being assessed by the task. In addition, there is discussion of how this weighting…

Descriptors: Mathematics Instruction, Class Activities, Mathematical Concepts, Thinking Skills

Barabash, Marita – Teaching Mathematics and Its Applications, 2017

The concept of angle emerges in numerous forms as the learning of mathematics and its applications advances through the high school and tertiary curriculum. Many difficulties and misconceptions in the usage of this multifaceted concept might be avoided or at least minimized should the lecturers in different areas of pure and applied mathematics be…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Mathematical Concepts, Mathematical Applications

Rojano, Teresa; García-Campos, Montserrat – Teaching Mathematics and Its Applications, 2017

This article reports the outcomes of a study that seeks to investigate the role of feedback, by way of an intelligent support system in natural language, in parametrized modelling activities carried out by a group of tertiary education students. With such a system, it is possible to simultaneously display on a computer screen a dialogue window and…

Descriptors: Mathematics Instruction, Feedback (Response), Intelligent Tutoring Systems, College Students