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Cardella, Monica E. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

While many engineering educators have proposed changes to the way that mathematics is taught to engineers, the focus has often been on mathematical content knowledge. Work from the mathematics education community suggests that it may be beneficial to consider a broader notion of mathematics: mathematical thinking. Schoenfeld identifies five…

Descriptors: Mathematics Education, Engineering Education, Mathematics Instruction, Thinking Skills

Modica, Erasmo – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

This article describes an activity that can be carried out in one of the final classes of Italian secondary schools. The aim of the activity is to stimulate pupil curiosity, demonstrating that Mathematics is not a barren subject and allowing the students, according to an interdisciplinary point of view, to investigate some literary works and the…

Descriptors: Interdisciplinary Approach, Mathematics, Mathematics Instruction, Mathematics Education

Scimone, Aldo – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

The international debate about experimental approaches to the teaching and learning mathematics is very current. While number theory lends itself naturally to such approaches, elementary geometry can also provide interesting starting points for creative work in class. This article shows how simple considerations about right triangles and the…

Descriptors: Number Concepts, Mathematics Instruction, Geometry, Geometric Concepts

Klymchuk, Sergiy; Zverkova, Tatyana; Gruenwald, Norbert; Sauerbier, Gabriele – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

This article presents the results of two studies on using an innovative pedagogical strategy in teaching mathematical modelling and applications to engineering students. Both studies are dealing with introducing non-traditional contexts for engineering students in teaching/learning of mathematical modelling and applications: environment and…

Descriptors: Mathematical Models, Ecology, Engineering Education, Foreign Countries

Griffiths, Martin – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2010

In this article, we use a particular example to illustrate a thematic approach to the teaching and learning of mathematics. Our theme, suitable for undergraduates and able sixth-form students, is the enumeration of mathematical objects associated with the prime factorizations of integers. It is shown in detail how this gives rise to some beautiful…

Descriptors: Educational Benefits, Thematic Approach, Numbers, Mathematics Instruction

Martins, Ana Margarida; Vera-Licona, Paola; Laubenbacher, Reinhard – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

This article describes a mathematical biology workshop given to secondary school teachers of the Danville area in Virginia, USA. The goal of the workshop was to enable teams of teachers with biology and mathematics expertise to incorporate lesson plans in mathematical modelling into the curriculum. The biological focus of the activities is the…

Descriptors: Mathematics Education, Molecular Biology, Workshops, Secondary School Teachers

Green, Kris; Emerson, Allen – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

The first part of this two-part paper [see EJ787497] described the development of a new freshman business mathematics (FBM) course at our college. In this paper, we discuss our assessment tool, the business memo, as a venue for students to apply mathematical skills, via mathematical modelling, to realistic business problems. These memos have…

Descriptors: Performance Based Assessment, Mathematics, College Freshmen, Business Education

Oxley, Alan – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2010

The article gives ideas that lecturers of undergraduate Discrete Mathematics courses can use in order to make the subject more interesting for students and encourage them to undertake further studies in the subject. It is possible to teach Discrete Mathematics with little or no reference to computing. However, students are more likely to be…

Descriptors: Artificial Intelligence, Computer Science Education, Mathematics, College Faculty

Poon, Kin Keung; Wong, Hang-Chi – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

This article adapts the problem-solving model developed by Polya to investigate and give an innovative approach to discuss and solve an optimization problem in geometry: the Regiomontanus Problem and its application to football. Various mathematical tools, such as calculus, inequality and the properties of circles, are used to explore and reflect…

Descriptors: Geometric Concepts, Geometry, Calculus, Mathematics

Rowlands, Stuart – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

Mechanics has never been the most popular subject in A-level mathematics, the UK's public examination for 16-18-year olds, either with students, teachers or educators. The attempts to popularize mechanics have failed and it is conceivable that the subject will be dropped from the A-level syllabus in the foreseeable future. This article argues the…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Foreign Countries, Educational Principles

Kuehner, Joel P.; Mauch, Elizabeth K. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2006

A method for teaching problem-solving skills to mathematics students is presented. By subtly incorporating engineering applications, the students are simultaneously exposed to an effective outreach programme. The process includes offering a complex problem that challenges students' abilities. Before allowing the students to become frustrated, the…

Descriptors: Teaching Methods, Mathematical Models, Problem Solving, Engineering

Parramore, Keith – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2011

Teaching mathematics associated with the repaying of loans has always been an awkward task--it seems superficially easy, but it contains pitfalls both for the learner and for the unwary teacher. This short article reviews some of the mathematics, and notes an interesting result.

Descriptors: Mathematics Instruction, Mathematics, Mathematics Education, Loan Repayment

Jaworski, Barbara – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008

A mathematics module in the undergraduate programme for first year engineers aims to enable those with low mathematical qualifications to understand and use efficiently calculus and related topics. The teaching approach is designed to develop student's fluency, understanding and responsibility through creating an inquiry community, encouraging…

Descriptors: Attendance Patterns, Calculus, Teaching Methods, Undergraduate Study

Man, Yiu-Kwong – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2010

In this article, we discuss how to use a diagrammatic approach to solve the classic sailors and the coconuts problem. It provides us an insight on how to tackle this type of problem in a novel and intuitive way. This problem-solving approach will be found useful to mathematics teachers or lecturers involved in teaching elementary number theory,…

Descriptors: Problem Solving, Number Concepts, Mathematics Teachers, Elementary School Mathematics

Ward, J. P. – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2006

Much of modern mathematical research requires a serious level of commitment and ability on the part of the researcher and, as a natural consequence, precludes any real involvement by undergraduate mathematicians. However, to put it crudely, Computer Algebra Systems, can make experts of us all. With the use of such systems even the average…

Descriptors: Undergraduate Study, Lecture Method, Algebra, Mathematics Instruction

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