Educators, researchers, and policy makers recognize that student participation in classroom mathematics conversations, especially explaining one's own thinking and engaging with others' ideas, can promote students' mathematics learning. However, precisely "how" participating in these ways supports learning has not often been examined in…

The questions in the practice assignments given to students in the form of worksheets or other formats are often grouped by chapter, topic, or concepts. There is a great emphasis on categorization. Most of the end-of-chapter problems in chemistry textbooks are organized by sections. Although this was done with the intention of helping students…

As schools continue to focus on outcome-based instructional practices, less emphasis is placed on the creativity and reasoning necessary for students to become effective critical thinkers. As a result, students struggle to demonstrate creative problem-solving skills in the classroom. This study examines how the facilitation of an instructional…

Purpose. The purpose of this qualitative case study was to discover the approaches teachers use to create collective teacher efficacy (CTE) while teaching online at one elementary school located in Southern California. Methodology. A case study design, using semistructured interviews, was used to answer the following central research question: How…

Compelling research evidence shows benefits for student learning from explaining one's ideas and engaging with the ideas of others. However, whether certain patterns of group interaction may engender this productive student participation is unknown. Using data from two third grade mathematics classrooms, and over the course of six days during a…

Challenging mathematics problems were posed as a substantial part of homework in an elective combinatorics course. The intent was to encourage undergraduate students' exploration as well as develop their technical writing skills. The bulk of students' grades on these problems rested on a three-page reflective write-up using a rubric on…

Summative lab assessments probe student mastery over concepts, but conventional ones often result in decreased student engagement and confidence. If conventional summative lab assessments are replaced by accessible gamified evaluations, such as online escape rooms, this leads to improved student engagement and confidence. In this work, we adapted…

Mathematics is often taught by explaining an idea, then giving students practice in applying it. Tutoring systems can increase the effectiveness of this method by monitoring the students' practice and giving feedback. However, math can also be taught by having students work collaboratively on problems that lead them to discover the idea. Here,…

Using over 350 hours of observational data from district-level meetings, we investigate how leaders support their interpretations of problems and proposed solutions during closed-door negotiations around three policy decisions, and how they invoke race, class, and language in the process. District leaders primarily cite constraints from…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

Off-task activity is ubiquitous in classrooms, yet little understood. Building on recent work that illustrates the utility of off-task activity to disrupt relations of power among students, this article explores the potential functions of off-task participation during collaborative mathematics problem-solving. We examined 56 instances of off-task…

Limited research exists on the factors that contribute to community college students' development of self-efficacy (SE) while serving as preservice teachers (PSTs) during their early childhood education (ECE) practicum. This lack of research is concerning because educators who have high SE enhance the educational well-being of all children. The…

Community colleges are a major entry point for many students to post-secondary education, particularly for minority, first-generation, low-income, and older students. A range of factors including transfer-readiness, curricular alignment, financial barriers, and transfer guidance, influence successful transfer between two-year colleges (2YCs) and…

Previous work has looked at the relationship between high school preparation and student performance in calculus-based introductory mechanics (physics 1) courses. Here, we extend that work to look at performance in introductory calculus-based electricity and magnetism (physics 2), and we look at the significance of what college math courses have…

Much work has been done to characterize the reasoning of students as they solve mathematics-intensive problems and characterizing differences in expert and novice problem solving. In this work, we characterize the problem-solving strategies in a classroom setting of "transitioning novices," students who have completed an introductory…