In this article, we describe the case of "Keri," a fifth-grade teacher who had completed an Elementary Mathematics Specialist (EMS) certification program. Drawn from a larger study investigating the knowledge, beliefs, and practices of EMSs, Keri's case was unique in that she was teaching mathematics to four classes in a departmentalized…

Problem posing has received increased attention among researchers and educators. One of the most important aspects is to understand the cognitive process of problem posing. In this study, we conceptualized a framework for the cognitive process of mathematical problem posing in three stages: (a) input--understanding the task, (b)…

Understanding the concept of area requires an understanding of the relationship between geometry and multiplication. The multiplicative reasoning required to find the areas of regular figures is used in many courses in elementary mathematical education. This paper explores various methods in which multiplicative reasoning is incorporated into the…

This study explores the strengths and weaknesses of using educational technology in inclusive settings with limited available resources, in Cyprus. A primary school teacher and her students participated in a series of classroom-based computer-mediated collaborative learning sessions. Students worked in groups and solved a number of mathematical…

Learning with understanding is essential to enabling students to solve problems that they will inevitably face in the future. Students will be more successful, if they are engaged in thought-provoking activities that encourage them to grow in their mathematical understanding and identity. With this study we intended to understand how the…

In the U.S. the fifth-grade mathematics curriculum is largely devoted to building fraction skills, providing an essential foundation for future success in mathematics (National Mathematics Advisory Panel, 2008). Unfortunately, students in the U.S. struggle with fraction proficiency (National Assessment of Educational Progress, 2022; Organisation…

Mathematical modeling is a high-leverage topic; it is critical to students' participation in STEM education and supports civic engagement. Until recently, research on modeling at the elementary level has been underemphasized, particularly research on supports and challenges for teachers who engage in designing authentic modeling tasks. In this…

Math Innovation Zones (MIZ) is a strategic grant initiative first introduced by the Texas Education Agency (TEA) in 2018. A novel state-initiative aimed at increasing PreK - 8th grade math proficiency, the highly competitive grant program provides funding to both Texas school districts and open enrollment charter schools using allocations through…

This study addresses the important yet underexplored question of whether the Common Core State Standards in Mathematics, which emphasize critical thinking and problem-solving, as well as the computer-based assessments aligned with the Common Core, have facilitated or hindered learning for students with disabilities. By analyzing administrative…

The teaching of measurement concepts typically follows a learning sequence of: (1) identifying the attribute, (2) comparing and ordering, (3) measuring using non-standard units, (4) measuring using standard units, and (5) applications. This sequence is entrenched in many curricular documents and textbooks (Australian Curriculum Assessment and…

Using the theoretical constructs of double instrumental genesis and instrumental distance, in this article, I examine case studies of four primary school teachers (K-5) in British Columbia, Canada, who implemented the multi-touch, iPad application TouchTimes (hereafter, TT) into their mathematics teaching. This novel digital technology provides…

Teaching-learning conception is related to preferences in teaching-learning. There are two major teaching-learning approaches in education, which are constructivist and traditional approaches. In parallel, education curricula are being developed in compliance with this understanding. It is also manifest in the current mathematics curricula. This…

We report on questionnaire data gathered from teacher participants (n = 100) following their participation in the project, Exploring Mathematical Sequences of Connected, Cumulative and Challenging Tasks. Teachers shared their views about the effectiveness of various instructional approaches to support differentiation in mathematics, including…

An essential task for mathematics teachers is posing problems. Selecting mathematics problems that develop mathematical proficiency and engage students in desirable mathematical practices is a critical decision-making process. We present the Framework for Posing Elementary Mathematics Problems (F-PosE) developed to focus prospective teacher…

Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. Although there has been much interest recently in the understanding of Big Ideas, there is little research done in the assessment of Big Ideas thinking. In this paper, we discuss our research on Big Ideas in School…