Arecent episode of "MythBusters" (Williams, 2013) involved a series of "battles of the sexes" to examine myths and urban legends about things that men are supposedly better (or worse) at doing than women. Some of the processes that were used on the show to investigate these myths, along with the data they generated, can be used…

The area of statistics is one in which teachers may be encouraged to make important links to other curriculum areas and social issues. Statistical literacy is a key component of being numerate and living as an informed citizen. The teaching of statistics provides an opportunity to inform and educate students about social issues and moral…

The study involved evaluating the efficacy of a conceptual change instructional programme involving cognitive conflict in (1) facilitating form 2 (grade 8) students' understanding of algebra concepts, and (2) assessing changes in students' attitudes towards learning mathematics, in a mixed quantitative-qualitative research design. The…

If a teacher asked their students what thinking looks like, what would they say? Would they just look at the teacher quizzically? The question is challenging because thinking is largely an invisible endeavor, and developing thoughtful students can be a daunting task. However, the job of mathematics teachers is to develop students who think about…

After serving as a high school math teacher in Maryland for three years, the author moved to teaching sixth-grade math. His high school background led him to differentiate differently than his colleagues. The article discusses his observations and his conclusions and offers a plan to implement changes in the way mathematics is taught through…

Meta-analytic methods were used to examine the moderating effect of institutional factors on the relationship between high school mathematics curricula and college mathematics course-taking and achievement from a sample of 32 colleges. The findings suggest that the impact of curriculum on college mathematics outcomes is not generally moderated by…

In this work we explored proof schemes used by 41 middle school students when confronted with four mathematical propositions that demanded verification of accuracy of statements. The students' perception of mathematically complete vs. convincing arguments in different mathematics branches was also elicited. Lastly, we considered whether the…

This article describes techniques for teaching mathematics terminology that allow adolescents to expand their abstract reasoning ability and move beyond operations into problem solving. Mathematics vocabulary instruction is particularly important in the middle grades because this is when "the serious development of the language of mathematics…

As a secondary mathematics teacher, I used practitioner action research to determine effective ways to intervene with students working in groups, with the goal of improving their communication. Utilising transcripts of group interactions and teacher interventions, field notes, and student feedback, I discovered ten different issues that prevent…

In response to staff concerns about literacy and numeracy standards of commencing students, the School of Health Sciences at the University of Notre Dame Australia (UNDA) Fremantle campus worked with academic support staff from the University's Academic Enabling and Support Centre (AESC) to develop a Post Entrance Numeracy Assessment (PENA). The…

An important goal of school mathematics is to enable students to formulate, approach, and refine problems beyond those they have studied, allowing them to organize and consolidate their mathematical thinking. To achieve this goal, students should be encouraged to develop expertise in a variety of areas, such as problem solving, reasoning and…

Cognitively demanding tasks (CDT) (Stein et al. 2000) are necessary for the development of students' mathematical reasoning skills. Research is unequivocal on the importance of giving students opportunities to engage in such tasks. Although current reform efforts call for mathematics learning for "all" students, learners who…

This study details the creation of a four-tiered format designed to help preservice teachers write differentiated lesson plans. A short history of lesson plan differentiation models is described and how the four-tier approach was developed through collaboration with classroom teachers and university faculty. The unifying element for the format…

This article reveals the findings of a 3-year, qualitative study that began by identifying the pedagogical practices and conceptions of teaching and learning espoused or modeled within a reputable teacher-preparation program. The study examined the transfer of these practices and conceptions into in-service settings. Findings indicated that…

This case study of one class versus a control group focused on the impact of an intervention unit, which is not part of the regular curriculum, on the improvement of spatial ability of high school students (forty-six 12th-graders, aged 17-18, both boys and girls) in general as well as from a gender perspective. The study explored three…