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

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 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,…

Computer-assisted instruction systems have been broadly applied to help students solve math word problem. The majority of such systems, which are based on an instructor-initiating instruction strategy, provide pre-designed problems for the learners. When learners are asked to solve a word problem, the system will instruct the learners what to do.…

The purpose of this study is to investigate the effect of using case analyses on early childhood pre-service teachers' skills on connecting theory and practice, and solving ill-defined problems in teaching young children. In particular, the following research questions were explored: (1) To what degree are pre-service teachers able to make…

Elementary school students often misinterpret the equal sign (=) as an operational rather than a relational symbol. Such misunderstanding is problematic because solving equations with missing numbers may be important for the development of higher order mathematics skills, including solving word problems. Research indicates equal-sign instruction…

Formal learning usually takes place in a physical classroom. An extension of learning process may continue to occur in a conventional setting where learners get together physically after class hours. In other words, learning may take place within particular zones. Vygotsky's idea of zone of proximal development (ZPD) suggests that learning may not…

Research indicates that there is a reciprocal relationship between challenging behavior and poor academic performance and that this relationship will have a lifelong negative impact on individuals caught in this detrimental cycle. New interventions continue to be reported in the literature describing more effective ways to implement academic…

Since the publication of the Standards for Technological Literacy in 2000 (ITEA), there have been a number of new programs developed that are designed to teach pre-engineering. Project Lead the Way (PLTW) is one such program. Project Lead the Way boasts serving over 1250 schools in 44 states and teaching over 160,000 students. Another program is…