When the author started his visualization session at Brampton by showing a still from Kate Mackrell's "Kaleidoscope," he was immediately struck by one student's description of a symmetry and reflection line that was quite at odds with what he was holding. Since he had seen the whole thing moving on a number of occasions, the author was hanging on…

For many years, education in South Africa has been based mainly on western values. This has contributed to the fact that many learners from disadvantaged backgrounds cannot see the connection between the education they receive at school and their everyday experiences. This may well have contributed to the high failure rate amongst mathematics…

This article describes a single-subject study of the effects of a contextualized instructional package on the area and perimeter performance of middle school students with emotional and behavioral disorders (EBD). The instructional package included area and perimeter problem-solving activities embedded in contextualized, or real-life, scenarios;…

This study examined effectiveness of simultaneous prompting system in teaching students with cognitive impairment to automate recall of multiplication facts. A multiple probes design with multiple sets of math facts and replicated across multiple subjects was used to assess effectiveness of simultaneous prompting on recall of basic multiplication…

A problem given in the Australian Mathematics Competition for the Westpac Awards was stated as follows: With how many zeros does 2008! end? In this article, the author solves this problem, and provides further discussion on the related problems. These problems form a good model that helps students develop a logical thinking process toward problem…

This paper highlights the value of student collaboration in doing mathematics, demonstrates how urban, middle-school students, working together, co-constructed justifications for their solutions, and shows that certain conditions are associated with the promotion of a culture of reasoning. It is documented that students collaboratively built…

The current push to marry off mathematics with social justice compels one to ask such critical questions as "What is social justice?" and "How does (or can) mathematics look and act when viewed in/through the lenses of social justice?" Taking a critically reflective approach, this article draws the reader into a discussion of what is amiss in the…

Appropriate concrete and pictorial models allow students to construct meaning for rational numbers and operations with the numbers. To develop deep understanding of rational number, sixth through eighth graders must experience a variety of models (NCTM 2000). Since 1979, personnel from the Rational Number Project (RNP), a cooperative research and…

The kinematics teaching strategy is a teaching method that stimulates kinesthetic intelligence and thus offers students an unconventional approach for exploring mathematical ideas through movement. This article describes how to use the kinesthetic approach to introduce radian measure. The article includes detailed descriptions of easy-to-use…

Strategies used to solve two-digit addition problems (e.g., 27 + 48, Experiment 1) and two-digit subtraction problems (e.g., 73 - 59, Experiment 2) were investigated in adults and in children from Grades 3, 5, and 7. Participants were tested in choice and no-choice conditions. Results showed that (a) participants used the full decomposition…

This article describes a vision of student use of dynamically connected representations as they investigate mathematical ideas. Although this article is intended to generate discussion about the potential of dynamically connected representations, we situate the discussion within actual descriptions of its use with students in a newly designed…

This paper reports a study on the use of ICT to teach parabolic functions to secondary school students. The project was informed by the need to find better ways of presenting parabolic functions to secondary school students in order to improve their learning of the concepts and improve their interest and performance in mathematics. The study was…

The purpose of this quantitative action research project was to determine if cooperative learning impacted mathematics anxiety in secondary students compared to direct instruction. This study was based on the concept that mathematics anxiety is an emotional response to the subject and can be reversed. Gender differences were also analyzed. The…

Streaming (or ability grouping) for mathematics learning is a contentious issue. It can also be considered an issue of equity or social justice as some students may be adversely affected by the practice. Currently, the Victorian Department of Education and Early Childhood Development (DEECD) does not appear to have clear guidelines on streaming.…

The content coursework of preservice secondary mathematics teachers (PSMTs) is a current topic of concern in both the mathematics and education fields. There is a need to determine the knowledge and dispositions necessary to teach secondary mathematics and how coursework can help PSMTs develop the appropriate knowledge and dispositions. In…