According to Kilpatrick (1987), in the mathematics classrooms problem posing can be applied as a "goal" or as a means of instruction. Using problem posing as a goal of instruction involves asking students to respond to a range of problem-posing prompts. The main goal of this article is a classification of mathematics questions created by Years 8…

The Internet, an exciting and radically different medium infiltrating pop culture, business, and education, is also a powerful educational tool with teaching and learning potential for mathematics. Web-based instructional tools allow students and teachers to actively and interactively participate in the learning process (Lynch, Moyer, Frye & Suh,…

The authors investigated the effects of former learning experiences on how students adapt to challenging mathematics tasks. A distinction has been made between domain-specific variables (goal orientation, self-concept of mathematics ability) and task- (or context-) specific appraisals (estimated competence for, attractiveness and relevance of the…

This article advances a view of Computer Algebra Systems (CAS) as powerful inquiry-based learning tools. Through an in-depth exploration of the "Emptying the Bowl" activity, upper level mathematics students test their own mathematical hypotheses, thoughtfully analyse and manipulate computer-generated output, and answer questions…

One possible source of variation in children's mathematical abilities upon entry to school may be the social support of early number skills children receive in the home. In the present study, we explored parental support of preschoolers' counting in the context of an everyday activity and whether parental ability to provide aid is influenced by…

The purpose of this paper is to contribute to the debate about how to tackle the issue of "the teacher in the teaching/learning process", and to propose a methodology for analysing the teacher's activity in the classroom, based on concepts used in the fields of the didactics of mathematics as well as in cognitive ergonomics. This…

A university child development/early childhood education professor renews her relationship with young children and with current public school teaching by spending 5 weeks in kindergarten. This article describes some highlights of her experience: the children's daily journal writing, an in-class and take-home math activity, and teaching the…

In the past, graphic calculators have been sophisticated and exciting tools for higher mathematics, but few would have considered using them more than occasionally with younger students. All this has now changed with the growing range of software Apps now available for Texas Instruments TI-83 Plus calculators. These Apps are more like computer…

Since 1990, the January issue of "Teaching Pre K-8" has highlighted a school visit by the president of the National Council of Teachers of Mathematics. This article discusses Cathy Seeley's visit to a 6th grade classroom at the J. E. Pearce Middle School in Austin, Texas, where she participated in a math activity from the Connected…

The NCTM Standards encourages teachers and students to explore multiple approaches and representations when engaging in mathematical activities. The activities in the "Your Better Half" investigation engage students in the understanding of the commonly used fraction half by using the set and the area model and it is found that using real-world…

Math can help children understand and think about the many aspects of their world through its connections to them. Teachers who see, and help children see, those connections enrich children's learning and development. Teachers know that building children's vocabularies helps them understand stories they hear and later will read. But by taking a…

This breakthrough series of modules is intended to cover a range of topics and illustrate key ideas in mathematics, science, and technology education by actively engaging students in their learning processes. The module presented in this package is on measurement. Activities include posing questions, setting tasks, and encouraging students to…

A collaborative action research project with preservice teachers built on Wood's (2003) paper on strategy reporting, inquiry and argumentation and the NSW Department of Education and Training documents called substantive communication. There is little research on argumentation about space mathematics in primary schools so this is the focus of the…

Get students into math using outer space! Mission Mathematics translates the NASA experience into language and experiences appropriate for young learners, and provides teachers with mathematics activities that complement many of the available NASA resources for students and educators. In these motivating investigations, young children engage in…

This quantitative study compared two groups of community college students who were studying elementary statistics. The control group consisted of 38 students in two classes during the fall of 1998, and the treatment group contained 40 students in two classes during the spring of 1999. The treatment group participated in ten data collection and…