In this study, we conducted a survey of all tertiary level institutions in Ireland to find out how many of them use diagnostic tests, and what kind of mathematical content areas and topics appear on these tests. The information gathered provides an insight into what instructors expect students to know on entry to university and what they expect…

We report on a teacher development program aimed at improving mathematics teaching and learning from grades 5-9. The 18-month largely online program arose from a partnership of mathematics education researchers, mathematicians, physicists, and nine school districts. The program employed functions as a lens to reinterpret and interconnect content…

This paper focuses on the discourse of teachers and instructors in a TEAMS (Teaching Exploratively for All Mathematics Students) professional development (PD) setting and on the discursive mechanisms that afford such learning. We conceptualize learning in this PD as a change in a teacher's pedagogical discourse--from alignment with Delivery…

Mounting evidence of the effectiveness of active learning strategies has prompted many mathematics departments to start engaging in transformational change efforts. Change, however, especially change in instructional practice, is a challenging endeavor. Some departments are using coordination of multi-section courses as a vehicle to enact changes…

This article provides conceptual ideas, data, and exercises, for integrating original sources of recent, state of the art, world-class life science research in the undergraduate mathematics curriculum and classroom. To this end, this article shows how one of the main goals of calculus in the life sciences, fitting parameters to data and assessing…

The connection between spatial reasoning and mathematics learning and pedagogy in primary school children has been the subject of an increasing number of studies in recent years. There has been no comprehensive analysis, however, of how studies based on spatial reasoning interventions may lead to improvements in students' mathematics learning in…

The relationship between anxiety and mathematics has often been investigated in the literature. Different forms of anxiety have been evaluated, with math anxiety (MA) and test anxiety (TA) consistently being associated with various aspects of mathematics. In this meta-analysis, we have evaluated the impact of these forms of anxiety, distinguishing…

The enactment of a large-scale, long-term professional development initiative designed to enhance participants' knowledge base by influencing their identity trajectories as mathematics instructors is complex. Effectively influencing participants' trajectories could be enhanced by understanding the nature of participants' goal structures,…

It is increasingly recognised that to be informed citizens and to participate fully in the workforce requires an understanding of statistical data and risk. Such understanding is underpinned by statistical reasoning. It has been shown, however, that students have difficulty moving from concrete representations and procedural mathematical…

In this research, pre-service mathematics teachers were asked to prepare scenarios about what possible misconceptions might be in the classroom teaching process and how a solution strategy could be used based on the cognitive conflict approach in order to overcome these misconceptions. Based on these scenarios, it is aimed to determine what type…

Previous studies have suggested that problem-posing activities could be used to improve the teaching, learning, and assessment of mathematics. The purpose of this study is to explore undergraduate engineering students' problem posing in relation to the integral-area relationship. The goal is to help fill a gap in tertiary level research about…

In Japan during the 1980s, there was an interesting debate about how to teach the area of a parallelogram effectively to primary school children. Yutaka Saeki criticized the standard method, which relies on a cut-and-paste procedure. He argued that the standard method inevitably failed to convince children because it does not provide any cogent…

Background/Context: There is much to understand about how parents and children interact around mathematics, particularly with families whose home language is different from the children's main language of schooling. Families of immigrant origin are likely to bring experiences and knowledge that may be different from what their children's schools…

In this study we examined the impact of four teaching sessions on the history of ancient Mesopotamian mathematics, in a 10th -grade classroom. The sessions were taught primarily with historical objectives by researchers in the history of ancient mathematics. We reconstructed historians' practices and ethos. The presence of the researchers provided…

The prime aim of the study was to investigate and understand first-year pre-engineering students' perceptions about mathematics teachers' knowledge and instruction. A case study method was employed as a mode of inquiry and a Likert-type survey for data collection. Participants included 158 first-year pre-engineering students and five mathematics…