Cover, Copy, Compare (CCC) has been shown to be an effective intervention at improving single-digit multiplication fluency within the academic intervention literature. The application of the three-term contingency trial embedded within CCC provides the intervention with several key components of evidence-based interventions. Given that teachers…

The ability to relate mathematics teaching to real life is the common goal of many countries' mathematics curriculum National Society for Experiential Education's (NSEE) [2011] "Eight Principles of Good Practice for All Experiential Learning Activities." (intention, originality, planning, clarity, monitoring and evaluation, reflection,…

For years, educators have been using "foldables" as a visual and/or kinesthetic approach to note taking within elementary school classrooms. The purpose of the study is to determine to what extent these foldables have on students' self-efficacy of grade level math concepts. We previously found that there were learning gaps in students'…

Let's say you are a Grades 3-5 teacher in search of an activity sheet on different fraction notations. A search in May 2022 on the popular resources sharing site TeachersPayTeachers (TpT) yielded 2,832 results, 105 of which were free. With so many options, how would you go about choosing a resource for your students? What would factor into your…

This study aims to understand the instructional interactions that foster students' generalizing. By analysing video-recorded lessons from 13 different Grade 3 classrooms in which an early algebra intervention was implemented, activities related to generalizing and students' generalizing activities were identified, and the nature of the…

This paper presents research that exists at the crossroad of scholarly practice and scholarly inquiry. We outline the process in the design, enactment, and empirical examination of an elementary methods course activity, Exploring and Supporting Student Thinking (ESST), which engaged 18 elementary prospective teachers (PTs) in two sessions of…

The aim of this study was to investigate the effects of modelling, collaborative and game-based learning on geometry success in third-grade students. These approaches were applied to geometry instruction in nature on the success of students in geometry. The students' views about geometry activities were also examined. Explanatory design, one of…

This dissertation study aims to understand the instructional interactions that foster students' generalizing. By analyzing video recorded lessons from 13 different Grade 3 classrooms in which an early algebra intervention is being implemented, activities related to generalizing and students' generalizing activities were identified, and the nature…

In this exploratory study, our goal was to engage students in dynamic experiences of area as a continuous quantity that can be measured by multiplicatively composing two linear measures (lengths), an approach we refer to as 'dynamic measurement,' or DYME. In this paper, we present the learning trajectory constructed from two cycles of teaching…

Is anything more refreshing than going for a nice, long swim? The math scenarios presented in this article will take the reader back to hot summer days and remind the reader what a cool dip in the water feels like. Solving these problems is enjoyable and encourages the solver to think of the many ways that math is all around--even in the middle of…

The goal of the current study was to contribute to our emergent understanding of whether and how particular types of digital games can support student learning and engagement. We focused on commercially available educational apps that focused on similar content (fraction comparison and equivalence) but represented extremes in how game-like they…

Benchmarking is an important strategy for comparing the size of fractions. In addition, knowing whether a given fraction is greater or less than a particular benchmark (e.g., one-half) can support students with accurately locating the fraction on a number line. This article offers a game-based activity that engages students in discussions around…

This dissertation describes a mathematics curriculum and instruction design experiment involving a series of embodied mathematical activities conducted in two Colorado elementary schools Activities designed for this experiment include multi-scalar number line models focused on supporting students' understanding of elementary mathematics. Realistic…

This case study of a third grade classroom details the ways that competence was jointly constructed by students and the teacher in relation to students' efforts to engage with each other's mathematical ideas. By creating consistent opportunities for students to share and make sense of others' ideas, and by supporting students to take up these…

This article reports on a study in which researchers asked children to "make up as story and a picture about marbles for this number sentence: 3 x 5 = 15." Students in this study came from pre - dominantly low- to average-income families living in three distinct geographical areas within the United States. A similar division task was…