This paper explores the use of a mediated field experience (MFE) for teacher candidates in a middle school setting, a small laboratory school. This work focuses on adjustments made for the MFE to function in an online environment during remote instruction caused by a worldwide pandemic. Teacher candidates completed a learning cycle focused on…

A multiple case study was conducted to investigate how Lego robotics instruction incorporated into a middle grades mathematics methods course could inform pre-service teachers' (PSTs) TPACK through the lens of Social Constructivist Theory. The qualitative data analysis revealed that when instruction on Lego robotics technology is integrated into…

Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

Achievement in the academic settings has long lasting positive outcomes. In this study, hope, self-efficacy, and engagement are linked to academic success. The aims of this study were to test a model which predicts academic success in the Dominican Republic while testing for the mediator role of engagement. The sample was composed of 614…

Group discussions during mathematics lessons provide important opportunities for students to deeply engage with mathematics content and to develop communication skills and strong understanding aligned with college and career readiness objectives (Walshaw & Anthony, 2008). However, such student-centered discussions are less common than…

During students' mathematics education trajectory, they engage in a path of constructing their mathematical identities within the social and cultural contexts of classrooms. The construct of mathematical identity can be summarized as how a student relates to mathematics. While this seems simple, the implications of how a student relates to…

Generative AI, particularly Language Models (LMs), has the potential to transform real-world domains with societal impact, particularly where access to experts is limited. For example, in education, training novice educators with expert guidance is important for effectiveness but expensive, creating significant barriers to improving education…

Positioning students as competent is a teaching practice that uses specific, explicit affirmations to note that students have contributed something meaningful to the community of learners. It supports student agency in the mathematics classroom and contributes to the development of a positive mathematics identity. In this article, the authors…

A gulf exists between prior work testing metacognitive instructional interventions and teacher practices that may support metacognition in the classroom. To help bridge this gulf, we designed an observational protocol to capture whether and how teachers provide metacognitive support in their talk and examined whether these supports were related to…

Although reasoning and proof in learning and teaching mathematics is crucial and have gained more presence in school mathematics, both students and their teachers face great difficulties when engaging in proving activities. One potential cause for such difficulties might be due to teachers' conception of proof. However, to date, there are few, if…

Mathematics Teacher Preparation Programs increasingly include a focus on the use of technology for teaching school mathematics. A key feature in this approach to prepare teachers to teach mathematics with technology is to integrally develop teachers' TPSM. Teachers need to understand that critical instructional decisions they make are grounded in…

This study, firstly, aimed at investigating the various types of the multiple math representations and transitions among them in the 8th grade math textbook, and secondly, teachers' use of these representations in teaching. The current study employed the content analysis approach to investigate the multiple mathematical representations and…

Communicating mathematical ideas through writing, listening, and verbalizing allows students to think about how they "think" about mathematics. By focusing this communication on a reflection of how one thinks about mathematics, metacognitive writing engages students as mathematicians and learners. In this article we describe a…

U.S. mathematics teachers face considerable pressures to keep up with pacing guides and to prepare students for standardized tests. At the same time, they are called upon to engage students in innovative exploratory activities and to incorporate new technologies into their lessons. These competing priorities pose considerable challenges. Against…

There is a large body of research that suggests a sound understanding of rational number is vital for success in all areas of mathematics, at school and beyond. In the Australian Curriculum, fractions are formally introduced from Year 1, yet there is evidence to suggest that current approaches are not leading to deep understanding in later years.…