The effectiveness of group problem-solving in mathematics depends on the extent to which meaningful participation is distributed across all group members. One way to explore how participation is distributed within groups is by examining how students are positioned within group interactions. In this study, we explore the social instructional…

In this portfolio, I reflect on my efforts to provide professional development targeted to support teachers during the launch phase of their mathematics teaching, to elicit and respond to student ideas and experiences. I grounded my study in research on ambitious teaching practices for launching complex mathematical tasks using problem-based…

Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

This Spotlight explores strategies to foster an engaging classroom environment that promotes critical thinking and knowledge building. Discover how effective instruction can enhance student engagement, the importance of comprehension strategies in curriculum design, and the essential role of real-world problem-solving in preparing students for…

This paper presents a fine-grained process analysis of 22 students in a classroom-based learning setting. The students engaged (and failed) in problem-solving attempts prior to instruction (i.e., the Productive-Failure approach). We used the HeuristicsMiner algorithm to analyze the data of a quasi-experimental study. The applied algorithm allowed…

This study aimed to analyze views of mathematics student-teachers on teaching practice in classroom contexts by subsuming following the new didactic triangle, which was used as a conceptual framework: (1) Teaching Process, (2) Learning Process, and (3) Thinking Process. A participative research design was employed for the research methodology. The…

The fear of making mistakes and avoidance of risks can create disabling anxiety and limit learning opportunities. However, it is possible to teach mathematics in ways that not only reduce student agency but also have the effect of excluding some students. This article proposes approaches that are intended to both foster student decision making and…

There have been recent pushes for more active learning in mathematics classrooms, especially at the undergraduate level. To incorporate more active learning, there is a need for tasks that explicitly support this type of instruction, attention to student reasoning and whose ideas are publicly acknowledged, and awareness of differences in students'…

We present findings from a study about obstacles that Black students who succeeded in developmental mathematics in community college reported having endured in those mathematics classrooms. To understand the types of obstacles that can arise for students in these classrooms, we analyze data using two frameworks: mathematics identity and dimensions…

Number talks are short mathematical discussions offering sensemaking opportunities for students. Aside from bolstering students' mathematical learning, this instructional routine may also support preservice teachers (PSTs) in investigating how to facilitate discussion-focused instruction. In this study, PSTs engage in a learning cycle to explore,…

This cluster randomized controlled trial evaluated the efficacy of the CHAMPS classroom management program on the social behavioral and academic outcomes of a large diverse sample of middle school students within an urban context. Participants included 102 teachers and 1,450 students in sixth to eighth grade. Two-level hierarchical linear models…

Research Findings: This study investigated teachers' Concept development (CD) strategy use in whole-group math teaching and its associations with children's higher-order thinking processes in 25 Chinese preschool math lessons. We utilized the CD dimension within the Classroom Assessment Scoring System (CLASS) to guide our exploration. CD…

Tier 1 Instruction provides the essential foundation for all students to succeed, alleviating the need for more intensive support later. This Spotlight will help readers learn from schools implementing multi-tiered systems of supports (MTSS); analyze new laws on math supports for struggling students; evaluate the long-term benefits of early…

Current international curriculum frameworks and research advocate for K-12 mathematics to emphasize proof and argumentation. This review synthesizes literature related to conceptions, content, and supportive actions for proof and argumentation across four grade-level bands: K-2, 3-5, 6-8, and 9-12. Our systematic search and subsequent screening…

Background: Developing the questioning skills of Foundation Phase Education students when teaching mathematical problem-solving is often a neglected area of student curricula. Aim: This gap in mathematics programme is the focus of this study. Three main components were identified: presentation of mathematical problem-solving, the role of the…