We outline the structure of a term-long graduate course on teaching undergraduate mathematics. We analyze reflections written by the graduate students participating in the course to understand how they experienced the course and how the course impacted their beliefs about teaching. We find that students enjoy the course and find it to be useful.…

Reimagining elementary mathematics pedagogy using a three-step process--See It, Say It, Symbolize It--author Patrick L. Sullivan provides a guide for developing a dynamic and flexible understanding of numbers and operations. By helping students develop a language that is consistent across concepts and connecting it to what is seen and symbolized,…

This study investigated how three fifth-grade students' understanding of fraction and decimal magnitude evolved over the course of a five-week teaching experiment. Students participated in teaching and learning sessions focused on developing concepts of fraction and decimal magnitude. The following questions guided this study: (1) How do fifth…

This research aims to explore both the individual and combined relationships between the use of GeoGebra and productive disposition with students' strategic competence. The use of GeoGebra involves teacher-led activities designed to assist students in managing and engaging with learning, serving as a tool to enhance mathematics learning outcomes.…

Purpose: This study aims to develop a self-reflection scale useful for teachers to improve their skills and to clarify the Japanese teachers' characteristics during mathematics lesson observation (MLO). In MLO, it is important to understand the lesson plan in advance to clarify observation points, and we aim to develop a scale including these…

This study examined the practices of a mathematics coach by analyzing coaching moves over multiple coaching cycles with two teachers. The coach, guided initially by a content-focused model of coaching (West & Staub, 2013), engaged teachers in cycles that consisted of co-planning, teaching, and debriefing conversations to help teachers reflect…

Math anxiety can have an extraordinary impact on middle level students' ability to learn. However, certain classroom practices may be able to mitigate this impact. In terms of assessment practices, proficiency-based learning, also called competency-based learning or standards-based grading, may help establish a learning environment that either…

As teachers begin to construct an understanding of 'inquiry', and incorporate IBL into their classroom practice, they are challenged to be sensitive to the 'constructivist' nature of the CLD. This paper presents a reflection model structured to trigger thinking about beliefs in teaching and learning in order for teachers to re-examine their…

This article analyzes elementary school students' didactical situation in traditional games through ethnomathematics learning. The conventional game studied was "Endog-Endogan" or egg games from the Sundanese culture, West Java, Indonesia. This qualitative and quantitative study applied the design of the didactic learning stage. The…

Adaptive learning support is a key element of high quality preschool education and includes the planning of learning situations and teacher-child interactions. The provision of effective adaptive learning support in kindergarten is challenging. This longitudinal experimental study examined the impact of two professional development programs on 132…

We report on the results of a professional development programme involving four Hungarian teachers of mathematics. The programme aims to support teachers in integrating problem solving into their classes. The basic principle of the programme, as well as its novelty (at least compared to Hungarian practice), is that the development takes place in…

In this article I present some notes and reflections on possible ways to be adopted in teaching practice in Mathematics for the incorporation of meanings in teaching and learning of school mathematics in face of the cultural diversity in which the school is situated and constituted in the 21st century through the perspective of globalization. It…

This study investigates the beliefs and practices of preservice teachers (PSTs) concerning equitable mathematics instruction for diverse learners. Through a comprehensive analysis of lesson plans and reflective essays, we identify key themes that emerge in PSTs' approaches to teaching mathematics. The findings indicate that PSTs employ various…

Prospective teachers bring countless stories of success and failure from different mathematics classrooms to their post-field teacher education courses. These reflective stories often glorify school mathematics classrooms and dominant traditions within, instead of confronting the marginalization of diverse groups in school environments.…

Lesson study is a Japanese concept to improve teaching and learning mathematics through a particular form of activity in which a group of teachers works collaboratively to plan, implement, observe, and reflect on the proposed research lessons. Although lesson study is internationally acknowledged as providing key learning opportunities for…