The introduction of large language models (LLMs) may change future pedagogical practices. Current research mainly focuses on the use of LLMs to tutor students, while the exploration of LLMs' potential to assist teachers is limited. Taking high school mathematics as an example, we propose a method that utilizes LLMs to enhance the quality of…

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.…

A common goal for mathematics teachers at any grade level is for "all" students--not just future mathematics teachers--to develop deep understanding of the mathematics they are learning and using. To that end, this lesson can be used in an upper-level high school mathematics course to introduce the concept of a radian in a way that…

The aim of this study is to explain how to shape the lesson study designed for improving mathematics teachers' knowledge of student thinking and to uncover the evidences of the mathematics teachers' knowledge of student thinking in their lessons. The lesson study composed of three cycles with five stages was carried out with three mathematics…

In this article, the author, a ninth grade teacher at a Title I high school, describes how she began her algebra classes with an open-ended research project, entitled Why Math? This project offered opportunities for students to reflect on why mathematics is important and to determine its relevance to them as individuals, that is, why…

"Project-Based Learning in the Math Classroom" explains how to keep inquiry at the heart of mathematics teaching and helps teachers build students' abilities to be true mathematicians. This book outlines basic teaching strategies, such as questioning and exploration of concepts. It also provides advanced strategies for teachers who are…

This study aimed at exploring causal relationships between two affective factors, self-confidence and positive emotion, and two metacognitive factors, selfreflection and insight components on high school students' mathematics achievement that assessed by formative and summative assessments. The study applied partial least squares based structural…

Reflective practice in mathematical teaching improves teaching skills and confidence. This paper investigates affect-based critical moments as a reflective practice for pre-service teaching. An embedded case study is presented by one regional university as a discovery into the "reflective" phase of the Enhancement-Learning-Reflection…

A mathematical investigation (MI) encapsulates the reform movement in mathematics education by addressing content and process simultaneously and providing a novel opportunity for students to develop thinking skills and good mental habits. However, introducing MI to teachers and students who are used to routinised teaching approaches and…

We proposed to study self-regulated learning (SRL) of 11th grade students in a PBL classroom (n = 36). The data were collected in November 2016 using Students' Self-Regulation Strategy Inventory (Students' SRSI), Teachers' Self-Regulation Strategy Inventory (Teachers' SRSI), students' interviews forms, students' reflections, and the teachers'…

Metacognition encompasses knowledge and regulation that, through reflection, sustain problem solving behaviour. How metacognitive awareness is constructed from reflection on metacognitive knowledge and regulation and how these reflections enable metacognitive skills for Mathematics problem solving remain unclear. Three secondary schools…

Engaging students in self-reflection about their learning performance is a potentially promising pedagogical approach for supporting math learning. However, it is unclear how models for math learning in regular classrooms translate in a virtual environment. The purpose of this paper is to (a) analyze rich assessment data from virtual schools to…

This article provides an example of, and lessons from, teaching and learning critical mathematics in a Chicago public neighborhood high school with a social justice focus. It is based on a qualitative study of my untracked, 12th-grade mathematics class, a full-year enactment of mathematics for social and racial justice. Students were Black and…

This article reports on how a program based on educative supervision supported the supervisory knowledge and practices of three cooperating teachers. The program was planned as a kind of practicum: the cooperating teachers participated in the program while working with a student teacher. The program included activities where the cooperating…

As calls are made for reasoning-and-proving to permeate school mathematics, several textbook analyses have been conducted to identify reasoning-and-proving opportunities outside of high school geometry. This study looked within geometry, examining six geometry textbooks and characterizing not only the justifications given and the…