Place-based mathematics education (PBME) has the potential to engage students with the mathematics inherent in the local land, culture, and community. However, research has identified daunting barriers to this pedagogy, especially in abstract mathematics courses such as algebra and beyond. In this study, 15 graduates of a doctoral program in rural…

Recent reform efforts in mathematics education have stimulated a focus on learning trajectories. At the same time, a global increase in high-stakes testing has influenced instructional practices. This study investigated how four fourth grade teachers within a school planned and enacted lessons to understand what mediated their planning and…

We define a differential operator for analytic functions of fractional power. A class of analytic functions containing this operator is studied. Finally, we determine conditions under which the partial sums of the linear operator of bounded turning are also of bounded turning.

Differentiated instruction requires that teachers pay attention to many differences among students, including their varied interests, learning styles, and ability and achievement levels. This article grew out of a study that explored how the challenge level of learning tasks is connected to behavior for students who show strong potential in…

Mathematics forms the basis for many types of card tricks. One of the best-known works as follows: Take any 15 cards out of a deck and ask a volunteer to select one of the cards and place it back in the deck. After shuffling the cards, you deal out three piles of cards and ask the volunteer which pile his or her card is in. You collect up the…

Since 1999, many South African education policy documents have mandated integration of HIV & AIDS education in learning areas/disciplines. Policy document research has shown that although South African politicians and managers have produced volumes of eloquent and compelling legislation regarding provision for HIV & AIDS education, little…

In this article, the authors document their experiences with a new resource called "My Money." The resource consists of units for teaching financial capability at key stages 3 and 4, and is broken into six main sections: (1) "Money--What is it?"; (2) "Earning it"; (3) "Spending it"; (4) "Investing…

The current investigation was designed to identify emotion states students experience during mathematics activities, and in particular to distinguish emotions contingent on experiences of success and experiences of failure. Students' task-related emotional responses were recorded following experiences of success and failure while working with an…

In this study we attempted to highlight the pedagogical role of activities to familiarize pre-schoolers with the measurement processes of container capacity. The sample of the study consisted of 20 subjects aged five-six, all coming from two Greek state kindergartens of the same area, bearing the same middle socioeconomic background. The research…

Starting a math club as early as kindergarten and having a range of grade levels in attendance can be successful. With the help of the older students, the varied age groups are entertained and excited about attending math club. The purpose of the club is to enrich the classroom mathematics curriculum with hands-on activities and to have members…

When planning a lesson, many teachers will start by listing content-based objectives; after all, this is how the majority of textbooks, schemes of work and lesson planning templates are constructed. This is understandable, as for many years now teachers have been legally required to teach the national curriculum which was a list of content-based…

This Classroom Activity Connections paper describes an extension to the "JCE" Classroom Activity #68 "Turning on the Light". A number of additional common items that display fluorescence under UV light are described, including fruits, vegetables, and seashells. Two classroom extensions on fluorescence are also described. From these activities,…

Many educators believe that mathematical investigation involves both problem posing and problem solving, but some teachers have taught their students to investigate during problem solving. The confusion about the relationship between investigation and problem solving may affect how teachers teach their students and how researchers conduct their…

In this paper, 28 mathematics majors who completed a transition-to-proof course were given 10 mathematical arguments. For each argument, they were asked to judge how convincing they found the argument and whether they thought the argument constituted a mathematical proof. The key findings from this data were (a) most participants did not find the…

The number of candidates seeking and completing online courses and programs in teacher education continues to increase in order to meet the licensing flexibility demands of adults pursuing teacher certification. Using the theoretical constructs of learner-centered instruction and zones of proximal development, this paper provides an overview of…