The aim of this study is to examine the effect of activity-based mathematics teaching on the attitudes of elementary school 4th graders towards mathematics activities and their beliefs about mathematics. The research is designed according to the quasi-experimental pretest-posttest control group design. The study group consisted of a total of 50…

Algebra as a study of quantitative relationship is one of four conceptions of school algebra which serves as a foundation for the concept of function. However, there is still a lack of attention to this particular relationship, especially in early algebraic reasoning. This study aims to investigate how the aspect of quantitative relationship in…

We offer this synthesized framework as a tool to reveal mathematical activity in a non-formal makerspace. In particular, we connect research at different grain sizes to illustrate and explain how mathematics plays a crucial, if often implicit, role in this activity. We begin with describing the Approximate Number System and the Ratio-Processing…

Positive findings regarding integrated curriculum in the classroom setting (Chen & Yang, 2019; Kurt & Pehlivan, 2013; Vars, 1996) and movement integration during the school day (Donnelly et al., 2009; Duncan, Birch, & Woodfield, 2012; Mahar et al., 2006; Reed et al., 2010), suggest a movement-based setting, such as physical education,…

Scaling up educational interventions in the STEM (Science, Technology, Engineering, and Mathematics) field is critical but under-researched. We review and draw implications from a series of studies investigating the long-range impact of an implementation of an early mathematics scale-up model based on learning trajectories. Lasting effectiveness…

Inventing is fundamental to mathematical activity, should one be a professional mathematician or a primary school student. Research on mathematical creativity generally is organized along three axes according to its focus on the final product, the overall process, or the individual person. Through these conceptualizations, however, research rarely…

This paper describes an after-school club aimed to engage elementary students in project-based learning by integrating mathematics and literacy connections within a community-based topic. Building on students' backgrounds and interests, researchers created the Community Super Investigators (CSI) Club as part of an after-school program to explore…

This article details how certain mathematical "discoveries" that Cavazos' fourth graders made were recorded throughout the year. Cavazos invited a math professor, a biologist, a literacy professor, a chemist, a statistician, and an engineering student, as well as their school principal and computer lab technician, both of whom are…

Research shows that children of different backgrounds and cultures learn and perform differently in mathematics despite similar intelligence levels and mathematics instruction (Alvarez & Bali, 2004). Ethnomathematics strives to explore and explain such phenomena in terms of the complex role culture plays in one's background experiences and…

Parents can positively impact children's learning of mathematics. To productively engage families in the learning process, teachers must support such interpersonal relationships. The author describes the investigative work of a group of teacher candidates as they sought to attain such understanding. Eighteen preservice teachers, who were…

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…

This article reports on an ethnographic study of a 10-year-old's pursuit of school-based mathematics across school and home to suggest that participating in school-based mathematics is a cross-setting phenomenon in at least 2 ways. First, I illustrate how accomplishing school-based mathematics literally extends into the home and how individuals…

This article portrays action research conducted in relation to students' faulty use of the equality sign in a Grade Four mathematics classroom in Sweden. Substantial background on teacher-researcher collaboration that prepares ground for the action research is offered. Drawing on cultural-historical and activity theory perspectives, the conduct of…

A Chinese proverb suggests "Tell me and I'll forget; show me and I may remember; involve me and I'll understand." How to involve or engage today's learner is at the forefront of much educational research and was the impetus for the study reported herein. This study explored the perceptions of Year 4/5 students from nine separate schools…