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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

Cline, Kelly; Zullo, Holly; Huckaby, David A. – Teaching Mathematics and Its Applications, 2020

Common student errors and misconceptions can be addressed through the method of classroom voting, in which the instructor presents a multiple-choice question to the class, and after a few minutes for consideration and small-group discussion, each student votes on the correct answer, using a clicker or a phone. If a large number of students have…

Descriptors: Error Patterns, Misconceptions, Mathematics Instruction, Calculus

Grove, Michael; Croft, Tony; Lawson, Duncan – Teaching Mathematics and Its Applications, 2020

In response to the well-documented challenges associated with the 'mathematics problem' in UK higher education, many institutions have implemented a programme of mathematics support. Previous surveys within the UK, undertaken in 2001, 2004 and, most recently, 2012, have shown growth in the number of institutions offering such support and indicate…

Descriptors: Foreign Countries, Higher Education, Mathematics Instruction, Academic Support Services

Dunn, Peter K.; Marshman, Margaret F. – Teaching Mathematics and Its Applications, 2020

Mathematics teachers are often keen to find ways of connecting mathematics with the real world. One way to do so is to teach mathematical modelling using real data. Mathematical models have two components: a model structure and parameters within that structure. Real data can be used in one of two ways for each component: (a) to…

Descriptors: Mathematics Instruction, Mathematical Models, Teaching Methods, Data Use

Lowe, T. W.; Mestel, B. D. – Teaching Mathematics and Its Applications, 2020

The development of six online quizzes to support students' study of an introductory mathematics masters module at The Open University is described and their use evaluated. The quizzes were implemented using the "STACK" online e-assessment system, which is powered by a computer-algebra engine. Evaluation of student feedback and an initial…

Descriptors: Case Studies, Computer Assisted Testing, Mathematics Tests, Introductory Courses

Rocha, Helena – Teaching Mathematics and Its Applications, 2020

Using technology to get a graphical representation of functions requires the choice of a suitable viewing window. The literature suggests teachers' knowledge as being central in this process, but does not tell us much about how the teachers should manage this. This study aims to improve understanding about the teachers' choices related to the…

Descriptors: Graphs, Mathematics Teachers, Pedagogical Content Knowledge, Knowledge Base for Teaching

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