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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

Gaspar Martins, Sandra – Teaching Mathematics and Its Applications, 2017

A set of weekly optional online quizzes was used with 104 students on a Multivariable Calculus course (MC), via the Moodle online system. These quizzes contributed a maximum of two extra points, and this was awarded if the student scored more than 9 points (out of 20) on the exam. All the students got the same questions and could resubmit the…

Descriptors: Mathematics Tests, Calculus, Online Courses, Integrated Learning Systems

Links between Students' Goals and Their Choice of Educational Resources in Undergraduate Mathematics

Anastasakis, Marinos; Robinson, Carol L.; Lerman, Stephen – Teaching Mathematics and Its Applications, 2017

Currently, there is a dearth of studies exploring the kind of tools that undergraduates use when studying mathematics with previous approaches focusing mostly on digital or institutionally provided resources. In this article, we present and discuss the results from our investigations into the different types of tools that a cohort of second year…

Descriptors: College Mathematics, Mathematics Instruction, Undergraduate Students, Educational Resources

O'Sullivan, Ciaran; Robinson, Paul; Keogh, John; O'Neill, John – Teaching Mathematics and Its Applications, 2017

So-called "Mathematics-anxiety" can be a key inhibitor for some adult learners considering higher education. The Institute of Technology Tallaght (ITT) in Dublin hosts the "Centre of Expertise for Adult Numeracy/Mathematics Education" mathematics research group which is a hub of EPISTEM, formerly known as the "National…

Descriptors: Foreign Countries, Mathematics Anxiety, Adult Learning, Reentry Students

Rønning, Frode – Teaching Mathematics and Its Applications, 2017

This paper is based on an on-going project for modernizing the basic education in mathematics for engineers at the Norwegian University of Science and Technology. One of the components in the project is using a computer-aided assessment system (Maple T.A.) for handling students' weekly hand-ins. Successful completion of a certain number of problem…

Descriptors: Foreign Countries, Computer Assisted Testing, Mathematics Tests, Mathematics Education

Zetterqvist, Lena – Teaching Mathematics and Its Applications, 2017

Researchers and teachers often recommend motivating exercises and use of mathematics or statistics software for the teaching of basic courses in probability and statistics. Our courses are given to large groups of engineering students at Lund Institute of Technology. We found that the mere existence of real-life data and technology in a course…

Descriptors: Technology Uses in Education, Alignment (Education), Probability, Statistics

Ní Shé, Caitríona; Mac an Bhaird, Ciarán; Ní Fhloinn, Eabhnat; O'Shea, Ann – Teaching Mathematics and Its Applications, 2017

There is a general agreement that many students struggle with the transition from secondary to higher education, particularly in the context of mathematics modules. Lecturers often suggest or supply supplemental resources to give students the opportunity to overcome their difficulties. In addition, students often seek out resources independently,…

Descriptors: Mathematics Education, Educational Resources, Student Attitudes, Teacher Attitudes

Prendergast, Mark; Faulkner, Fiona; Breen, Cormac; Carr, Michael – Teaching Mathematics and Its Applications, 2017

This article details an initial analysis of the transition of a second level curriculum reform to higher education in Ireland. The reform entitled 'Project Maths' involved changes to what second level students learn in mathematics, how they learn it, and how they are assessed. Changes were rolled out nationally on a phased basis in September 2010.…

Descriptors: Foreign Countries, Educational Change, Mathematics Curriculum, National Curriculum

Darlington, Ellie; Bowyer, Jessica – Teaching Mathematics and Its Applications, 2017

An ongoing reform programme of the post-16 Advanced "A"-level qualifications in England and Wales means that pre-university mathematics content and assessment will change from 2017. Undergraduate engineering is a subject that relies heavily on mathematics, and applicants to engineering degree programmes in the UK are required to have…

Descriptors: Engineering Education, Undergraduate Students, Student Attitudes, Mathematics Education

Janetzko, Hans-Dieter – Teaching Mathematics and Its Applications, 2017

CATO is a new user interface, written in Java and developed by the author as a response to the significant difficulties faced by students who only sporadically use computer algebra systems (CAS). The usage of CAS in mathematical lectures should be an integral part of mathematical instruction. However, difficulties arise for those students who have…

Descriptors: Computer Interfaces, Programming Languages, Computer Assisted Instruction, Algebra

Carr, Michael; Prendergast, Mark; Breen, Cormac; Faulkner, Fiona – Teaching Mathematics and Its Applications, 2017

In the Dublin Institute of Technology, high threshold core skills assessments are run in mathematics for third-year engineering students. Such tests require students to reach a threshold of 90% on a multiple choice test based on a randomized question bank. The material covered by the test consists of the more important aspects of undergraduate…

Descriptors: Engineering Education, Mathematics Instruction, Mathematics Skills, Computer Assisted Testing

Reyes-Rodriguez, Aaron; Santos-Trigo, Manuel; Barrera-Mora, Fernando – Teaching Mathematics and Its Applications, 2017

The task of constructing a square is used to argue that looking for and pursuing several solution routes is a powerful principle to identify and analyse properties of mathematical objects, to understand problem statements and to engage in mathematical thinking activities. Developing mathematical understanding requires that students delve into…

Descriptors: Mathematics Instruction, Problem Solving, Mathematical Logic, Mathematical Concepts

BeltrÁn-Meneu, María José; Murillo-Arcila, Marina; Albarracín, Lluís – Teaching Mathematics and Its Applications, 2017

This article presents a teaching proposal that emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. More concretely, these concepts were introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was designed after observing architecture students…

Descriptors: Mathematics Instruction, Algebra, Geometric Concepts, Computer Software