This study used peer nominations to identify who students ask for help in class. We describe the level of friendship affiliation that students' share with their peer helpers, and their classroom behavior reputations. Participants were 1037 fifth (49%) and sixth (51%) graders with varied gender and ethnic-racial backgrounds (51% girls; 43% White,…

Mathematics education for students with and at-risk for a disability is important and high-quality, research-supported practices should be used for online teaching--whether intentional or as a result of a global pandemic. This single-case design multiple probe replicated across participants study explored the online delivery of an intervention…

Networked computers can potentially support classrooms to be more interactive. It can help students share representations amongst themselves and work together on a shared virtual activity space. In research on the role of shared screens or shared virtual workspace in learning settings, there has been less attention paid to contexts where learners…

This article investigates how the recent implementation of programming in school mathematics interacts with algebraic thinking and learning. Based on Duval's theory of semiotic representations, we analyze in what ways syntax and semantics of programming languages are aligned with or divert from corresponding algebraic symbolism. Three examples of…

Underperformance in mathematics has been an issue that plagues the education system in Jamaica. Studies in first world countries have shown that enrichment programs, including Mathematics Enhancement Programmes (MEPs,) have been positively impacting attainment in mathematics. This quasi-experimental research design study investigated the impact of…

Research on elementary students' reasoning on patterning problems with pictorial representations has illustrated that students can visualize structure in patterns in different ways. In this paper, we offer a characterization of students' spatial structures and numerical structures and explain how the link between these two structures can support…

This article focuses on the unintended consequences of within-class ability grouping on primary students of mathematics. I review relevant research, including promising approaches to teaching in mixed ability settings. I then outline four ways in which these groupings are typically structured, discussing some of the issues that arise with each of…

There is a need to increase mathematics achievement in U.S. schools, as only 41% of students in Grade 4, 34% of students in Grade 8, and 25% of students in Grade 12 have reached proficiency in mathematics (NAEP, 2019). Building acquisition and fluency with basic math facts has been identified as an important indicator of math achievement, as this…

We examined the math facts fluency growth of students receiving explicit timing practice in either a massed, short-distributed, or long-distributed fashion. In a repeated-measures group design, 50 mid-western 3rd grade students completed four one-minute math probes each day for 20 days. Hierarchical linear modeling revealed that students who…

Students often look to the standard algorithm, which requires rewriting the task, regrouping tens to create enough ones to subtract, and other opportunities to make errors. However, when the authors apply structural thinking, the resultant strategy is an efficient and elegant shortcut and even brings a positive connotation to the word…

Pattern recognition is an important skill of Computational Thinking and is one of the most important competences for solving a problem that involves finding similarities or patterns in small problems to solve more complex ones. In this work, we present the mobile application software Patrony. The main contribution of this work is to promote the…

We explored the challenges, limitations, and potential effectiveness of a large-scale computerized working memory and numeracy intervention in the classroom with children at risk of mathematical learning disabilities (n = 428, M[subscript age] = 83.85 months, 41% female). Children were assigned to four different treatment protocols (working memory…

This article provides an in-depth examination of differentiation, instructional strategies that cater to all learners. Differentiation is beneficial when teachers can select content, process, and products that meet student's needs. While teachers incorporate differentiation to modify instruction with struggling students, gifted and talented…

This study investigated 77 Taiwanese pre-service primary teachers' beliefs, knowledge and emotions about mathematics teaching and learning by using a drawing task: specifically, creating pictures of themselves as mathematics teachers at work. Its major findings were: (1) The majority of the participants chose to illustrate a mix of teacher- and…

In this paper, we aim to untangle positioning theory (Davies & Harré, 1990) and its implications for the field of mathematics education research, considering both existing use and potential use. Specific theoretical assumptions of positions or positionings in the context of learning mathematics are outlined. In this paper, a classroom-based…