In our mathematics methods courses for elementary preservice teachers, we work to uncover and confront students' understandings as well as misconceptions about important mathematical topics. Karp and colleagues' ("Teaching Children Mathematics", 21(1), 18-25) "13 Rules That Expire" article has been a useful resource for us to…

In recent years, a group of teacher educators has developed a method of teacher education that incorporates practices that provide guidance about how to teach along with a principled vision of teaching that supports teachers to use the practices with judgement. Sometimes termed "core practices-focused teacher education" (Forzani, 2014,…

Mathematics is often taught by lecturing students on how to perform procedures, but it could be taught in ways that promote active student engagement and develop deep conceptual understanding. Research supports the latter approach as better for students' retention, engagement, and success with learning mathematics. An important time to influence…

In this study, we sought to understand what might be learned about preservice teachers' mathematics learner and mathematics educator identities in the context of a problem-solving focused mathematics content course. Twenty-two preservice teachers participated in this study as part of their undergraduate teacher preparation program. We implemented…

Statistics anxiety is a reality among many students that may affect their academic and professional lives. Although there are instructional strategies proven to demonstrate advanced statistical concepts, a method to mitigate statistics anxiety in introductory courses is lacking. This research examines the effectiveness of three interventions used…

Teacher education programs are pivotal in the professional preparation and formation of pre-service secondary mathematics teachers (PSMTs), but there appears to be a lack of understanding of how best to prepare PSMTs for the profession. The purpose of this study was to examine and monitor changes over time in PSMTs' views about approaches to…

All students want to talk about ideas that interest them, but often, multilingual learners are not offered high-challenge, high-support opportunities to connect everyday experiences to mathematical ideas. We describe a single class period that connects students' everyday opinions with two-way tables and notions of independence.

In the first part, we investigate Birman, Ko, and Lee's left canonical form of a braid and give a new diagrammatic approach. We use the left canonical form to characterize almost strongly quasipositive braids. In the second part, we investigate students' confidence in mathematics and problem solving skills. Every math instructor has heard students…

This qualitative study aimed to identify the changes in a prospective' conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective' professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which…

This paper explores student emotion and learning experiences fostered by lecturing-style instruction in Real-Analysis problem-centered lessons. We focus on two lessons that were taught by two reputable instructors and involved challenging, mathematically-related problems the students did not understand. Nonetheless, one lesson evoked negative…

Background/purpose: The purpose of this qualitative study was to identify strengths and deficits of alternative teacher certification programs, with particular emphasis on approaches to strengthening mathematical content knowledge and pedagogy. Materials/methods: Six participants included both teacher candidates enrolled in internship in the…

This research examined the impact of the Cognitive-Communicative (C-C) model as a pedagogical strategy for teaching algebraic word problems (AWPs). The C-C model integrates structured dialogue, concept clarification, and systematic problem-solving steps to enhance students' comprehension and reasoning. Employing a mixed-methods framework, the…

Effective feedback improves grades, quality of work, and student perceptions regarding the quality of the feedback they receive. Recent feedback scholarship indicates that despite students' appreciation of quality feedback, they seldom use it. A shift in focus toward feedback engagement has resulted in several narrative reviews on the topic, each…

This article describes the outcomes of using a scaffolded set of two digital, simulation-based approaches to support secondary mathematics and science preservice teachers (PSTs) in learning to facilitate argumentation-focused discussions. The researchers investigated PST and teacher educator (TE) impressions of the experience and collected…

The topic of this research study is mastery learning, an educational theory that began with the work of John Carrol in 1963. The core principle of this theory is that all students can achieve uniform learning outcomes, but it will take some students longer than others to reach the same performance goals. The problem that this research study…