The use of technologies in mathematics education at all levels has been discussed extensively for a number of years. It is one of the few themes that was the object of two ICMI studies, the most recent being published in 2010. Two new approaches, emerging lately in the teaching and learning of Mathematics at all levels, will be discussed:…

Though the curriculum reform movement that began in 1989 has had a significant impact on calculus pedagogy and content (Windham, 2008), the question remains to what extent reform-based calculus textbooks reflect these reforms. This paper explores this question by analyzing the mathematical content and pedagogical approach of the chapter on…

Large language models have recently been able to perform well in a wide variety of circumstances. In this work, we explore the possibility of large language models, specifically GPT-3, to write explanations for middle-school mathematics problems, with the goal of eventually using this process to rapidly generate explanations for the mathematics…

The purpose of this quantitative, causal-comparative study was to determine if and to what extent there was a statistically significant difference in students' Algebra I or Algebra II AzMERIT standardized proficiency rates in non-charter public high schools that implement digital curriculum compared versus those that implement traditional…

This study sought to investigate in-service mathematics teachers' knowledge of differentiated instruction in junior high schools in Tano South Municipality of Ghana. The study adopted an explanatory sequential mixed method design. We employed a sample of 50 JHS mathematics teachers comprising 41 general in-service teachers and 9 special in-service…

The curriculum resources used for teaching secondary mathematics vary considerably from school to school. Some schools base their teaching largely on a single published scheme, while others design their own schemes of learning, curating their resources from a range of (often free) online sources. Both approaches seem problematic from the…

To ensure that our students can compete in a global economy, successful teaching and learning of mathematics must become a priority within our schools. However, schools continue to track or group students by ability, which, in turn, systematically leaves students behind. Detracking will create a school system that provides both equity and…

Background/Context: Mathematics education, especially at early grade levels, continues to be an important focus for national education improvement efforts, and more districts are introducing technology as part of their solution. Along with increasing consistent delivery of personalized and individualized learning to students, technology- and…

The construction of the National Common Curricular Base (NCCB) for the area of Mathematics and its High School Technologies in Brazil and the last update of the Mathematics Program for High School in Paraguay are prescribed curriculum documents in force for the teaching of Mathematics in these countries. The construction of each one of them…

In this article we present the results of a qualitative investigation into the teaching and learning of Taylor series and local approximations. In order to perform a comparative analysis, two investigations are conducted: the first is historical and epistemological, concerned with the pedagogical evolution of semantics, syntax and semiotics; the…

This study analyzed the methods used to teach the multiplication of fractions in Turkish and American textbooks. Two Turkish textbooks and two American textbooks, "Everyday Mathematics" (EM) and "Connected Mathematics 3" (CM), were analyzed. The analyses focused on the content and the nature of the mathematical problems…

How can research findings from cognitive and learning sciences be meaningfully applied in authentic settings to improve student learning outcomes in mathematics? Decades of basic research on how people learn has implications for the design of curriculum, instruction, and assessment. However, bringing research to practice involves simultaneously…

This mixed-methods study sought to explore the impact the role a mathematics curriculum coach has on teacher efficacy and instructional practice. School systems across the country are being asked to do more with less money. At the same time, districts are faced with mathematics standards that require a new approach to instruction. In response to…

This research responds to the call by early childhood educators advocating for more challenging mathematics curriculum at the primary level. The kindergarten Project M[superscript 2] units focus on challenging geometry and measurement concepts by positioning students as practicing mathematicians. The research reported herein highlights the…

Two decades ago, in an award-winning paper, Dan Kennedy (1995) likened learning mathematics to climbing a tree, for which there was only one way to climb: up a large and solid trunk. In the limited time that is available, many students give up the climb, impede others, fall off the trunk, or fail to climb the tree sufficiently well. In the case of…