The main objective of this paper is to apply the onto-semiotic approach to analyze the mathematical concept of different coordinate systems, as well as some situations and university students' actions related to these coordinate systems. The identification of objects that emerge from the mathematical activity and a first intent to describe an…

Outdoor education has received greater attention in the United Kingdom with the launch of the Learning Outside the Classroom Manifesto. However, teachers' lack of confidence and competence appear to be key factors underpinning the extent of outdoor learning provision in schools. This paper reports on a partnership project in which student teachers…

The authors investigated the effectiveness of using high-preference (high-p) mathematics tasks for increasing task initiation of low-preference (low-p) mathematics tasks with a 13-year-old middle school student with autism. They used an ABAB design to determine the effectiveness of high-p tasks with to comply with low-p tasks. Results indicated…

This paper examines three historical geometric constructions for handcrafting stringed instruments. Using elementary geometry--in particular, triangles--these methods can provide quite good rational approximations to the irrationals that arise from tuning instruments in equal temperament. Interestingly, continued fractions help explain the…

Pattern generalising problems offer a very rich context for exploring relationships among quantities, expressing generality and representing the same relationship in different ways. Selecting appropriate tasks for students to work on in class is by no means a straightforward process, but there are ways to handle it. This article aims to explore…

"Going Further" presents a roadmap to the works of the ACCLAIM (Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics) Research Initiative, the research effort of one the Centers for Learning and Teaching (CLTs) created with a grant (2001-2005) from the National Science Foundation. The Center began…

The present study used a new assessment technique, the story-generation task, to examine students' understanding of subtraction scenes. The students from four grade levels (110 first-, 107 third-, 110 fourth- and 119 sixth-graders) generated stories under the constraints provided by a picture (representing Change, Combine or Compare scene) and a…

There is a great potential opportunity to use portable physical activity monitoring devices as data collection tools for educational purposes. Using one such device, we designed and implemented a weeklong workshop with high school students to test the utility of such technology. During that intervention, students performed data investigations of…

This paper presents findings from a larger study that examined the roles that parents and caregivers are given and/or choose to enact to support their children's mathematics learning, particularly in relation to their children's math homework. Based on interviews with parents of elementary-age children from three different urban school districts…

This article begins to unravel the question, "What curricular materials work best under what kinds of conditions?" The authors address this question from the point of view of teachers and their ability to implement mathematics curricula that place varying demands and provide varying levels of support for their learning. Specifically, the…

Humor has been promoted as a teaching tool that enhances student engagement and learning. The present report traces the pathway from research to practice by reflecting upon various ways to incorporate humor into the face-to-face teaching of statistics. The use of humor in an introductory university statistics course was evaluated via interviews…

This article describes a student-oriented classroom activity for exploring polynomials. In this activity teacher candidates apply technology to explore mathematics that they will teach but that they have not studied since high school. (Contains 10 figures.)

The goal of this study was to explore the long-term effects of all-day kindergarten programs on children's academic performance. The study used three waves of data from a nationally representative database from the United States, the Early Childhood Longitudinal Study (ECLS), with the first wave at the beginning of kindergarten and the third wave…

The National Science Foundation's (NSF's) Math and Science Partnership Program (MSP) promotes the development, implementation, and sustainability of exemplary partnerships to produce high-quality math and science education at all K-12 levels. The MSP Program anticipates that the partnerships will be instrumental in improving student achievement,…

This final article focuses in particular on the engagement of year 8 students who were taught trigonometry using dynamic geometry software ("Geometer's SketchPad"), as outlined in "MT214" and with resources from the ATM website. The project was implemented in three different classrooms in two different, multiracial,…