"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…

This article describes how the promotion of purposeful mathematical discussions can enhance young mathematicians' construction of knowledge and their explanation of strategy use.

In this article, the author presents some interesting geometric fallacies that were used in a problem-solving course for preservice high school mathematics teachers. He states that presenting these fallacies in ordinary math classes can enrich the class by making the students think hard about both the theorems themselves and the steps in the proof…

Last year, the author worked with a group of Key Stage 3 (KS3) consultants at a regional roadshow devoted to the topic of information and communications technology (ICT), "Embedding ICT in mathematics teaching." The roadshow was organized by the Association of Teachers of Mathematics (ATM) and the Mathematical Association (MA), and the…

This article describes the work of outreach mathematicians introducing the topic of complex variables to eighth and ninth grade students (13- to 15-year-olds) in the US. Complex variables is an area of mathematics that is not typically studied at secondary level. The authors developed seven lessons designed to stimulate students' interest in…

A novel approach for teaching interpolation in the introductory course in numerical analysis is presented. The interpolation problem is viewed as a problem in linear algebra, whence the various forms of interpolating polynomial are seen as different choices of a basis to the subspace of polynomials of the corresponding degree. This approach…

The origin of this article is an investigation of an academic course, "Graphic Arts and Design for students of natural and social sciences." The article describes the benefits of attending the class for the science students, which were an increased ability to solve problems, new and different ways to observe the environment, greater self…

Different computational tools may offer teachers and students distinct opportunities in representing, exploring and solving mathematical tasks. In this context, we illustrate that the use of dynamic software (Cabri Geometry) helped high school teachers to think of and represent a particular task dynamically. In this process, the teachers had the…

In this article, we take a rapid journey through the history of algebra, noting the important developments and reflecting on the importance of this history in the teaching of algebra in secondary school or university. Frequently, algebra is considered to have three stages in its historical development: the rhetorical stage, the syncopated stage,…

This article describes the development and evaluation of STARstreams, a pilot effort to utilize videos and online discussions in a conflict resolution curriculum that acknowledges the inherent socio-personal aspects of conflict. The STARstreams curricula includes a set of video-based scenarios depicting conflict situations and potential…

Enrollment in undergraduate computer-science programs has dipped all over the country, and among women it has almost vanished, dropping 70 percent between 2000 and 2005. Observers cite different reasons for the drop, including the dot-com bust a few years ago is one, but universities are beginning to agree on one cause that is within their…

This article illustrates effective instructional strategies for English Language learners. (Contains 5 figures.)

Physics is perceived by many students to be a difficult subject, and misconceptions about it are quite common not only among school students but also among undergraduates and pre-service postgraduate science teachers. In teaching the topic of gas pressure to primary student teachers studying in the Bachelor of Education programme at my institute,…

Because of recent legislation, students with mild disabilities frequently receive social studies instruction in the general education classroom. Therefore, middle school teachers have the challenge of teaching social studies to students with a wide range of abilities. Emphasis in the general education social studies curriculum is on high-level…

This article focuses on the important role of applications in teaching mathematics to students with career paths other than mathematics. These include the fields as diverse as education, engineering, business, and life sciences. Particular attention is given to instructional computing as a means for concept development in mathematics education…