In this survey paper we focus on aspects of the quality of teaching mathematics from several perspectives. We differentiate between effective aspects that are empirically proven and more normative ones that constitute "good teaching" but that are highly dependent on context. High quality of mathematics teaching includes characteristics…

Introduction: Across the world, mathematical expressions are represented very differently in braille. The aim of this study was (1) to gain an overall insight in mathematical braille notations and (2) to investigate how mathematical braille notations support braille readers in reading and comprehending mathematical expressions. Method: Twenty…

This report discusses findings based on responses to a request for information (RFI) led by the Bill & Melinda Gates Foundation and Digital Promise, which received nearly 200 responses that described a variety of innovative approaches to leveraging artificial intelligence (AI) for mathematics teaching and learning. As AI becomes increasingly…

Teacher productive disposition is considered as one of the key strands of mathematical proficiency. Teacher disposition and positioning (disposition in action) toward mathematics influence student learning. However, teachers' productive disposition does not always translate into productive positioning in the mathematics classroom, and vice versa.…

This study investigates Contemporary Mathematical Instruction Competence (CMIC) using the PISA 2022 dataset. The research aims to identify the underlying dimensions of CMIC and assess their consistency across different cultural contexts. Variables were selected from teacher surveys in PISA 2022, focusing on mathematical reasoning, cognitive…

The PISA assessment indicated that the United States performs at the bottom tier among OECD membership nations in secondary school math education. The dearth of math proficiency presented a significant problem for the United States to maintain its future leadership in global technology. The purpose of this exploratory multiple case study was to…

We consider how the existence of different signifiers for mathematical objects in different languages manifests in discourse about those objects. Based on the observation that there is a common signifier "derivative" in English used for both the derivative at a point and the derivative function and two phonetically and semantically…

A long-standing hypothesis in statistics education has posited that instructors could have a large impact on students' attitudes toward statistics. This hypothesis remained untested over the years. Moreover, if instructors do have a large impact on students' statistics attitudes, then there is a need to provide explanations as to what dimensions…

This qualitative descriptive research study explored perspectives of ten middle school math inclusion teachers (general and special education) in a United States school district geographically located in Europe. Data from interviews and observations were analyzed using a thematic approach to content analysis to gain insight into instructional…

Linear quantity models such as pre-tapes, tape diagrams, and number line diagrams have drawn increasing attention in mathematics education around the world. However, we still know relatively little about how teachers actually use these models in the classroom. This study explores how exemplary US and Chinese elementary teachers use linear quantity…

Despite the recognized importance of mathematical proof in secondary education, there is a limited but growing body of literature indicating how preservice secondary mathematics teachers (PSMTs) view proof and the teaching of proof. The purpose of this survey research was to investigate how PSMTs in Australia and the United States perceive of…

Different conceptualizations exist about the components of the knowledge teachers need to teach mathematics with professional consciousness, and a researcher needs to describe and assess that knowledge. The fact, however, is that different conceptualizations respond to different needs, and thus, the variety is even a chance to develop the field…

Using Trends in International Mathematics and Science Study (TIMSS) 2011 eighth-grade international dataset, this study explored the profiles of instructional practices reported by high- and low-performing mathematics teachers across the US, Finland, Korea, and Russia. Concepts of conceptual teaching and procedural teaching were used to frame the…

This study investigated differences between the US and Finland in terms of how students' attitude is related to mathematical reasoning skills through the Trends in International Mathematics and Science Study (TIMSS) 2011. Attitude towards mathematics was observed via 3 TIMSS contextual variables: liking mathematics, valuing mathematics, and…

With international exams (PISA and TIMSS) producing results every three or four years, there is near continual talk of East Asian dominance in mathematics education. Beyond the reporting of scores, some studies have compared mathematics teaching in these countries with U.S. instruction. However, researchers are not (usually) grade school math…