Investigates the introduction of mathematical modeling into the mathematics assessment program of the International Baccalaureate Diploma. Considers structured and open modeling in the pre-university mathematics program. Discusses influences of the use of hand-held technology on mathematical modeling and teacher and assessor beliefs about modeling…

Reports on the observed actions of prospective Swedish secondary mathematics teachers as they were working in a modeling situation. Discusses the way the students tackled the modeling situation and their strategies and attitudes as well as the difficulties in assessing mathematical modeling performance. (KHR)

Explains an application of mathematical modeling within a school setting as well as progressive use of graphing calculators in mathematical modeling. Analyzes students' performances in the process of problem-solving using the problem of baton-passing in relay races. Discusses students' use of their mathematical knowledge and ideas when they used…

Considers educational aspects of the development of ratio and proportion focusing on the arithmetization undergone by these concepts in light of the relationship between mathematics and music. Investigates the instructional aspects of compounding ratios. Points out features of the differences between identity and proportion which can be…

Carries out a survey of schools and colleges on problems associated with the new Advanced Subsidiary (AS) award introduced in 2000. Reports on teachers' views of the content of the specifications and examinations, entry patterns, changes that teachers want to see to the current system, progression to A2, and the benefits/disadvantages of the…

Discusses certain transferable skills and a strategy for developing them via an intensive short course on mathematical modeling. Includes student reactions and comments on the course. Suggests that this course developed modeling as well as generic skills through teaching, learning, and assessment style. (Author/KHR)

In part 1 of this work we showed how modern mathematical research could, with a suitably chosen problem, be included in the first year curriculum of undergraduate mathematicians. With the use of Computer Algebra Systems, even the average undergraduate mathematician can aspire to discover interesting yet still unexplained behaviour in many areas of…

This text has been centered on two main ideas: the specifications of a good problem to be introduced in a classroom; and according to Freudethal's view, the importance of teaching the students how to apply mathematics in their own real life problems. Putting these two ideas together, we may conclude that historical real world problems fit the…

In this article, we discuss whiteboard math movies (a.k.a. mathcasts) and their applications to mathematics education. A whiteboard math (wbm) movie is a screen recording of writing plus voice and/or text explaining a mathematical concept or solving a problem. The movie is then produced to Flash movie format and distributed via CD or Internet. The…

Two problems in projectiles are discussed which generate interesting loci.

Since the last decade, the use of computer algebra systems at the Hong Kong school level is still very limited. Among various reasons behind, the lack of exposure of this kind of software to local school teachers should be taken into account. In this article, we describe how to introduce MAPLE in a BEd module of a local teacher-training programme.…

This work addresses the subject of mathematics education at secondary schools from a current and stimulating point of view intimately related to computational science. Cryptology is a captivating way of introducing into the classroom different mathematical subjects such as functions, matrices, modular arithmetic, combinatorics, equations,…

Counting the number of internal intersection points made by the diagonals of irregular convex polygons where no three diagonals are concurrent is an interesting problem in discrete mathematics. This paper uses an iterative approach to develop a summation relation which tallies the total number of intersections, and shows that this total can be…

The main aim of this article is to explore models of a teacher addressing a class sitting in a rectangular classroom or lecture theatre and derive central measures of the distance between the teacher and the class or between a lecturer and an audience. This involves an interesting range of mathematics and two metrics. A secondary aim is to discuss…

This article describes an initiative introduced at Loughborough University by SIGMA, a Centre for Excellence in Teaching and Learning (CETL), to support physics students who were mathematically less well-prepared than their counterparts. The article outlines how students were identified as being less well-prepared. These students were taught in a…