This article describes part of a study in which researchers designed lesson sequences based around using a string number line to help teachers support children's development of relative thinking and understanding of linear scale. In the first year of the study, eight teachers of Years 3-5 participated in four one-day professional development…

College readiness of students and the effectiveness of remedial mathematics courses have been under consideration for the last two decades. There is a considerable misalignment between the expectations of students regarding secondary education and those regarding higher education. Information about current expectations and perspectives of college…

I explore some facts about the area, position, etc. of the Steiner ellipse using GeoGebra and numerical analysis. Students can use these for mathematical inquiry.

The use of digital technologies in teaching and learning processes has opened new and wide frontiers in mathematics education. Research in education moves towards teaching and learning (and assessing) twenty-first-century skills and computer-based testing seems an interesting possibility for assessing such skills. From this perspective, comparing…

Rapid technological advancements are reshaping pedagogical expertise development, offering novel pathways to equip educators with 21st-century professional competencies. This study proposes an innovative artificial intelligence (AI)-driven professional development approach and investigates its impact on student teachers' competence development. In…

Teaching diverse student populations effectively requires implementing thoughtfully planned and flexible rich tasks and understanding a community's strengths so students can make meaningful connections to mathematics. Using a culturally relevant teaching approach can develop appropriate geometry vocabulary to support students in articulating their…

Digital simulations are powerful instructional tools for physics education. They are often designed to visualize canonical physical phenomena, with adjustable parameters for influencing the system. While this is sufficient for developing conceptual and qualitative intuitions, it does little to help physics students build connections between…

Mathematical concepts have been a consensus goal for decades, yet there is little consensus on what is meant by the terms "mathematical concept" and "mathematical understanding." This article attempts to discuss these terms in a way that can be of practical use to teachers. Greater clarity on "mathematical concept"…

Scholars have long documented the positive influence of students' sense of belonging on their achievement and retention; however, the variation in students' sense of belonging has been underexplored. This paper extends previous research examining the effects of student-level characteristics (e.g., student achievement, learning attitude, experience…

The present study compared Japanese and U.S. preschool children's knowledge of geometric shapes. The main goal was to explore if differences in shape-naming conventions in Japanese and English could explain differences in children's understanding of geometric shapes. In ancient Chinese-based languages (e.g., Japanese), all standard 2D shapes…

The purpose of this study is to determine the opinions and self-efficacy beliefs of middle school students towards mathematical connections before and after the process in a learning environment prepared in the context of connections with different disciplines and including modeling tasks. An embedded experimental mixed method design was used in…

This study explores preschool teachers' perspectives on their knowledge, awareness, and interest in Visual, Auditory, and Kinesthetic (VAK) learning styles within the context of teaching pre-number skills. This study uses a qualitative approach, by involving a total of 6 preschool teachers from Melaka to be interviewed to obtain an in-depth…

In Eastern cultures, teaching is challenging due to students' increasing needs for autonomy and refusal to be controlled in traditional ways. Understanding the relationship between autonomy-supportive practices and students' learning outcome is essential for assisting teachers to create supportive learning environment to satisfy the needs for…

The authors wondered if there was a way to support their reluctant Grades 4, 5, and 6 students in contributing their starting points and strategies and advancing their collective knowledge. They wanted to ensure that the students had the space to develop and take ownership of the strategies they produced through a visual representation of ideas…

Despite the growing availability of classroom measures, such measures rarely attended to the embodied nature of learning. This article describes the collaborative development of a practical measure to capture embodied participation in mathematics classrooms with four elementary school teachers--working with students at the intersections of…