Teachers put a great deal of energy into searching for ways to engage each and every student. Some of these efforts fail. Others look promising one day, only to become less effective as the novelty wears off. Teachers want their students to feel ownership of their learning. They also believes that students engage more when learning mathematics…

This article explores facilitating meaningful mathematics discourse, one of the research-based practices described in "Principles to Actions: Ensuring Mathematical Success for All." Two tools that can support teachers in strengthening their classroom discourse are discussed in this, another installment in the series.

This meta-analysis examines the effects of numerical competency development in mathematics classrooms. An exhaustive search of the quantitative literature yielded 17 studies with 39 effect sizes. The overall mean effect size, d = 0.88 (p < 0.05), indicates that there is a large positive summary effect of numerical competency development on…

The purpose of the study was to explore rural university access programme students' experience of mathematics anxiety in academic settings. Mathematics anxiety has been found to have an adverse effect on students' confidence, motivation and achievement. The quantitative study was exploratory and descriptive in nature. The participants were 655…

The introduction of the school subject Mathematical Literacy (ML) was to develop numerate and well informed citizens in South Africa. However the success of the subject is dependent on the ways in which teachers mediate the subject with their learners. The purpose of the study reported on in this article was to explore the extent to which the…

Here we report on the development process of the Inquiry Oriented Instructional Measure (IOIM), an instrument for scoring a lesson along seven inquiry-oriented instructional practices. The development of the IOIM was a multi-phase, iterative process that included reviewing K-16 research literature, analyzing videos of classroom instruction, and…

The purpose of this study is to analyze pre-service elementary teachers' problems in terms of the different meanings of the addition of fractions and to determine the types of errors made in these problems. Data were collected from 83 pre-service elementary teachers in the spring semester of the 2016-2017 academic year by means of a problem posing…

Quantitative learning centers (QLCs) have emerged on undergraduate around the globe in an attempt to provide necessary support to students enrolled in undergraduate courses that address quantitative literacy. QLCs often provide support through peer tutoring to students in mathematics or related courses. Since QLCs are prevalent on undergraduate…

This article describes emerging perspectives on contextualizing, complementizing, and complexifying--three processes involved when individuals ascribe meaning to mathematical objects of their thinking. The article is oriented toward a dialectic between theory and empirical research and is structured in two parts. The first part focuses on an…

When Johann Bernoulli published his lectures on integrals in 1742, integral calculus had become very advanced since the time of their composition in 1692. Nevertheless, these lectures are of excellent clarity and simplicity even when the book deals with major problems of Mathematical Physics. Just to pique some interest, we offer a commented…

This study examines the role of several key features of professional development (PD) in bringing about changes in teachers' mathematical knowledge for teaching. Artifacts (e.g., PD tasks, materials, and agendas) of the PD activities completed by 542 teachers in 21 different Mathematics and Science Partnership programs were coded based on the core…

This paper reviews the research on equitable mathematics teaching practices that focus on providing fair opportunities to learn for all children. The studies conducted with in-service teachers are examined in descriptive, integrated and critical ways to explore the differences and similarities across the body of research. Three divergent themes…

This paper sets forth a construct that describes how many undergraduate students understand mathematical terms to refer to mathematical objects, namely that they only refer to those objects that satisfy the term. I call this students' pronominal sense of reference (PSR) because it means they treat terms as pronouns that point to objects, like…

Research suggests that teachers struggle to find effective ways to introduce proof. In 1940, in an article in this journal, Roland Smith argued that being aware of student misconceptions in geometry is the first step in preparing to address the fundamental challenges of learning to prove. Through careful study, he identified and analyzed…

Two trends play an increasing role in shaping the long-term prospects of children across the United States: a growing STEM (science, technology, engineering, and mathematics)-based economy and rising income segregation. Together, they suggest that the future well-being of U.S. children may be based increasingly on the contemporary interplay of…