Making sense of algebraic expressions in context is multifaceted and extends beyond representing real-world situations using algebra. As part of Project MathTalk, the authors created videos that feature a pair of Grade 9 algebra 1 students coming to understand algebraic expressions in context. The students found three aspects of making sense of…

This article reports on the design and implementation of a didactic sequence in the frame of a design-based research study. The research aim is to test the hypothesis that affordances of dynamic geometry may support students' awareness of logical relationships between geometrical properties of constructed figures. We elaborate on the task design…

On the basis of a substantial, robust, and well-replicated cognitive science research literature, interleaving has been recommended across a range of professional pedagogical works as an evidence-based strategy for mathematics teachers. This report first notes the conflation of interleaving and spacing effects underpinning those recommendations…

This study was prompted by a desire to understand the relationship between reflective practice using classroom instructional video observations and teacher perception of effectiveness. This was a mixed methods study in which quantitative data were collected from a pre- and post-survey using a Likert scale and qualitative data from weekly pre- and…

This study examined how preservice teachers (PSTs) develop adaptive competence in teaching peers in an introductory physical education pedagogy course underpinned by a pedagogical cycle designed to promote adaptive teaching competence. Two guiding research questions were: (a) what was the total number of adaptations that PSTs made in their peer…

The utilization of instructional scaffolding is a crucial element in the process of imparting novel knowledge or skills to students. This approach involves the teacher providing and modifying support for students in order to optimize their classroom participation and academic outcomes. The present study offers an examination of a seventh-grade…

In conversations about pedagogy, researchers often overlook how physical space and movement shape teacher sensemaking. This article offers a comparative case study of classroom videos using a dynamic visual method to map embodied interaction called "interaction geography." Our analysis proposes an integrative framework to study classroom…

A large body of research has studied the role and potential of inquiry to increase the quality of teaching in science education. While much of this existing research is based on international large-scale assessment studies, we still lack a clear understanding of the factors that influence the quality of inquiry-based science teaching in actual…

Teachers' attitudes and intentions play an integral role in the integration of technology into their lesson designs for mathematics. All K-8 students at the research site are now one to one with a device, either a tablet or laptop, depending on their grade level. It is up to teachers to determine how and when to integrate technology into their…

The application of 360° videos raised the attention of educators and researchers, as it appears to be an approachable option to mediate complete environments in educational settings. However, challenges emerge from the perspective of educational psychology. Learning irrelevant cognitive strains might be imposed because it is necessary to navigate…

Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…

The purpose of this study is to understand how and what leaders (a principal, district coach, regional coach, and district assistant superintendent) professionally noticed within a video club context as they watched mathematics lessons. Professional noticing refers to the extent to which leaders are able to move beyond forming general descriptions…

In this paper, we have tried to clearly explain the meaning of fractions and operations with fractions. Also, we have tried to illustrate with some examples how to apply the rules of operations with fractional numbers, giving different practical techniques through different figures, visualization methods, and concretizing problems. The paper…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

Understanding how students develop learning opportunities through peer-to-peer interaction is vital for advancing research and practice on collaborative learning environments. This study investigated the discourse practices middle grade students utilized to resolve conflict in ways that promoted or inhibited learning opportunities. Seventy-seven…