As part of an on-going effort to increase recruitment and retention of historically marginalized groups in science, technology, engineering, and mathematics (STEM) programs and careers, this study examines student perceptions of a culturally relevant undergraduate STEM degree program designed to prepare Indigenous students for graduate school and…

The purpose of this study was to identify and categorize in-the-moment teaching moves which support productive general social norms and sociomathematical norms during dialogic instruction by drawing on transcripts of classroom episodes. To understand how teachers construct in-the-moment teaching moves, this paper is grounded in a revised version…

The initial and continuing training of mathematics teachers continues to be one of the most pressing challenges facing the research community in mathematics education. In this regard, various research agendas have been proposed and developed. Among these, two stand out: the characterization and development of (1) didactic and mathematical…

This paper aims to broaden the scope of the construct concept image by addressing the mathematically oriented notion of "solution of an algebraic equation." The notion solution of an algebraic equation is not mathematical per se, but it is most prevalent in mathematical communications and in mathematics education. The paper describes…

The aim of this paper is to discuss preservice mathematics teachers' in-the-moment noticing of mathematical opportunities and how they reflected on those opportunities both orally and in writing. A faculty-school collaboration program was set up to enable preservice teachers to work with students in a school setting throughout a year. Ten…

In this article, we describe a case study that was conducted within a study aiming to diagnose grade 5 students' concept images of parallelograms. The theoretical framework that we adopted for this study was that of concept definition--concept image as reported by Tall and Vinner ("Educational Studies in Mathematics" 12:151-169, 1981), a…

Integrated science, technology, engineering, and mathematics (STEM) curricula have taken center stage in the recent education reforms. However, the challenge in teaching STEM curricula lies in finding ways to develop students' content knowledge and plan suitable learning activities and instructional strategies. This paper is focused on the…

Despite calls for more attention to the preparation of those who prepare teachers, there have been few examples of institutionally sanctioned and structured learning opportunities created to equip faculty with the knowledge and skills necessary to become effective teacher educators. In this paper, we describe a cross-disciplinary and collaborative…

In this paper, we introduce and discuss a construct called "graphical forms," an extension of Sherin's symbolic forms. In its original conceptualization, symbolic forms characterize the ideas students associate with patterns in a mathematical expression. To expand symbolic forms beyond only characterizing mathematical equations, we use…

This essay focuses on a particular subset of educational research, questions that are researchable and that, ultimately, will make a positive difference for the educational enterprise. It argues that to be researchable, tasks need to be addressable in operational terms -- that questions that hinge on values (e.g. "are large small classes…

In this article, the authors describe critical issues related to the pursuit of rigorous and innovative research in the fields of mathematics and science education. The paper is framed to help researchers consider aspects of both their research project and their research proposal. The authors describe features of high-quality and fundable research…

In this paper, we build on a previously developed notion of 'learning as Making' to examine mathematics thinking and learning in a highly transformative and technological Making environment: one that involves a handheld 3D printing technology which enables 3D models to be created instantly via one's moving hand. In particular, we present two…

How to pedagogically integrate the four STEM (science, technology, engineering, and mathematics) disciplines is a main discussion issue in STEM education. Inquiry-based learning, mathematical modeling, and tool-based pedagogy could go hand in hand to provide a possible integrated STEM pedagogical framework for mathematics and science. This…

Recently, pedagogical approaches have focused on creating arts-integrated STEM (Science, Technology, Engineering, and Mathematics) or STEAM classes, which have drawn attention to the importance of the arts in science education. Despite increasing development and implementation of STEAM initiatives in science, there is limited discussion on the…

The purpose of this article is to contribute to the discussion of mathematics teacher knowledge, and the question of what makes it specialized. In the first part of the article, central orientations in conceptualizing mathematics teacher knowledge are identified and the more serious limitations of the grounds on which they stand are explicated. In…