This paper examines a problem described as widespread and long-standing in mathematics education: supporting pupils into multiplicative reasoning, a form of reasoning that has been noted as central to large tracts of secondary mathematics and beyond. Also noted, however, is a persistent perception of multiplicative situations only in terms of…

Personal Best (PB) goals are defined as specific, challenging, and competitively self-referenced goals involving a level of performance or effort that meets or exceeds an individual's previous best. Much of the available research underpinning arguments for PB goal-setting is self-report-based; thus, the causal effect of PB goals on learning…

To be awake means to have active attention, particularly the attention to carry a project into effect and execute a plan (Greene, 1977). Additionally, to be wide-awake requires a level of consciousness that provokes reflection and awareness in the quest for meaning, which can in turn contribute to the formation of self and ability to make sense of…

Emphasis on the development of the inner qualities thought to make up pedagogical entrepreneurship and use of such entrepreneurship as a strategy in mathematics teaching and learning could be expected to strengthen students' development of mathematical literacy. This is because problem solving, local cultures and resources, authenticity and action…

The Math Teachers' Circle (MTC) model is a widely implemented form of professional development that invites teachers to become practitioners of mathematics, thereby developing their fluency with mathematical practices. This article presents comparative case studies investigating the self-reported experiences of several MTC-participating teachers…

Although traditional textbooks may not guide students through explorations or encourage group work, as many standards-based curricula do, virtually all textbooks contain mathematically accurate information and problems that, with adjustment, can be leveraged to support mathematical curiosity, reasoning, and discussion. Teachers who recognize rich…

The Research Skill Development (RSD) framework was devised in 2006 to articulate what educators do when they facilitate student learning through active exploration in ways that enable their skills to grow in sophistication and rigour. This special issue of JUTLP comprises eight articles that focus on the critique, adaptation and application of the…

In this article, the authors engage middle-grades students in a series of tasks to develop the mathematical idea of equal versus equivalent, culminating in a gerrymandering task with social, political, economic, and educational implications. The primary mathematical goals of this exploration were to involve students in solving real-world problems…

In this study, graduate students enrolled in an instructional supervision course were taught solution-focused strategies and applied them as they engaged in a clinical supervision cycle with a practicing classroom teacher. Qualitative methods, including in-depth interviews and analysis of written clinical supervision reports, yielded five primary…

This qualitative study explored the interactions of six triads of Year One students in the United Kingdom (n = 18; mean age = 5 years, 7 months; 9 female) investigating interpersonal regulation of learning, social dynamics, and "group dialogue," evident in instances of productive collaboration during problem-solving activities. Group…

Within the context of Rogers theory of perceived attributes, authors propose a framework that can predict students' motivation to adopt programming contest like ACM (Association of Computing Machinery) International Collegiate Programming Contest (ICPC). In this paper we investigate the attributes for adoption of programming contest in a social…

Rich mathematical modeling activities are crucial to giving students agency and making mathematics meaningful. Proportional reasoning and transitional algebraic reasoning are the primary topics in the prealgebra curriculum, so a need exists for meaningful modeling activities using proportional reasoning in addition to geometric modeling. In…

The aim of this paper is to study teachers' roles in preschool children's mathematical reasoning using analysis of epistemological moves. Three moves were identified: instructional moves, confirming move and a new move, concluding move. There were no generative moves encouraging the children to produce different arguments for choice of strategy or…

One of the central goals of modern science and chemistry education is to develop students' abilities to understand complex phenomena, and productively engage in explanation, justification, and argumentation. To accomplish this goal, we should better characterise the types of reasoning that we expect students to master in the different scientific…

Research has shown that the efficacy of learning with manipulatives (e.g., fingers, blocks, or coins) is affected by multiple variables, including the amount of guidance teachers provide during learning. However, there is no consensus on how much guidance is necessary when learning with manipulatives. The goal of this study was to examine the…