Recent research demonstrates that mathematics teachers rely on a variety of curriculum materials and must make meaning and synthesize these materials for use in a particular place with particular students. While there are multiple theories about the nature of this work and the factors which influence this work, the field continues to lack a…

Digital curricula can constrain teachers with ready-made instructional materials. The authors used Mathematics Teaching Practices (MTPs) to modify a digital curriculum to engage students in more thoughtful and meaningful lessons. In this article, the authors visit one of their third-grade classrooms, in which they used the prescriptive digital…

When asked about school mathematics, students rarely describe it as meaningful or relevant. Research shows that students are more engaged when they are challenged to think critically, and can connect the content to their lived experiences. This "Equity Tool" is designed to assist educators in reviewing curricula to determine if it…

The Mathematics Department at Cornell University has recently secured a grant from the University to implement systemic change in how we teach courses that reach students at critical transition points in their mathematical development. In this article, we report on the changes made to our large multi-section first-semester calculus course in order…

Nearly 1 out of every 5 students in California K-12 schools is an English Learner, yet our latest research in brief finds that the majority of teachers across the state are not being given the resources and support they need to effectively teach math to the hundreds of thousands of emerging bilingual students. The study, California Mathematics…

Mathematics teachers are vital components in determining what mathematics students have the opportunity to learn. There are a vast number of factors and reasons that influence a teacher's instructional decisions. As such, teachers rely heavily on their curricular reasoning (CR) to make decisions about what content to teach, how that content is…

This paper provides an overview of a programmatic research project, the Enactment Project, at the National Institute of Education in Singapore. The project studies the enactment of school mathematics by competent experienced teachers in secondary schools and also how widespread practices of these competent experienced teachers are in the…

In 2016, the Newport-Mesa Unified School District in southern California began the process of adopting a new math curriculum. Teachers and community members were dissatisfied with the existing program because it wasn't meeting teachers' instructional needs or students' learning needs. Public dissatisfaction made it imperative to involve teachers…

The article provides a possible option of how first-year students of Russian universities adapt to mastering higher mathematics. The purpose of the research is the development of methodological approaches to designing an online course that recaps school math material in a short period. The concept of individualization of educational activities is…

When it comes to improving student achievement in mathematics, a core belief is that curriculum materials are of the utmost importance. However, the link between a curriculum program and student learning is affected by the ways in which teachers use resources to design learning experiences. In the first half of this commentary, I raise questions…

On July 15-17, 2012 the United States National Commission on Mathematics Instruction and Seoul National University held a joint Korea-U.S. workshop on Mathematics Teaching and Curriculum. The workshop was organized to address questions and issues related to math teaching and curriculum that were generated by each country, including the following:…

The learning sequence described in this article was developed to provide students with a demonstration of the development of box plots from authentic data as an illustration of the advantages gained from using multiple forms of data representation. The sequence follows an authentic process that starts with a problem to which data representations…

The article focused on the teaching materials of the sixth grade mathematics field and selected four units with the topics of "measurement and actual calculation" of figures and space to design the mathematical trail teaching activities with the characteristics of the school and expect to provide mathematical trail teaching activities for the…

Computer Algebra Systems (CAS) are equipped with rich facilities to show graphics, so the use of CAS to show 3D-graphics on screen is a popular tool for mathematics education. However, showing 3D-graphics in mass printed materials is a different story, since the clarity and preciseness of figures tend to be lost. To fill this gap, we developed…

This paper draws on four case studies to perform a cross-case analysis investigating the unique and joint contribution of mathematical knowledge for teaching (MKT) and curriculum materials to instructional quality. As expected, it was found that both MKT and curriculum materials matter for instruction. The contribution of MKT was more prevalent in…