This paper presents a framework for examining the Pedagogical Content Knowledge (PCK) required of mathematics teacher "educators" as they endeavour to build the PCK for teaching mathematics that is required of the pre-service teachers with whom they work. The framework builds on existing research into PCK, and provides a series of…

This study used an interactive dynamic simulation of action potential to explore social practices of learning among first year undergraduate biology students. It aimed to create a learning environment that fosters knowledge building discourse through working with multiple concept-specific representations. Three hundred and eighty-nine students and…

This qualitative study explored the college life phenomenon as experienced by students with mild traumatic brain injury (MTBI). Previous research about such students has focused on topics including study strategy use, access of support services, and insights from caregivers or instructors. However, little attention has been paid to the perceptions…

The concept of dimension, one of the most fundamental ideas in mathematics, is firmly rooted in the basis of the school geometry in such a way that mathematics teachers rarely feel the need to mention anything about it. However, the concept of dimension is far from being fully understood by students, even at the college level. In this paper, we…

In order to move students' thinking from the exploration experiences to concept understanding (and thus the ability to then apply that understanding), teachers must deliberately consider students' misconceptions, the intermediate steps to the accurate conception, and how to scaffold students' understanding step-by-step to the desired…

This article, the second of a two-part series, features 13 "My Favorite Assignments" that were introduced at the Association for Business Communication's 82nd annual conference held in Dublin, Ireland, in 2017. The pedagogical innovations include assignments that teach students how to conduct primary research, present their findings,…

A thematic course called "Climate Change: Chemistry and Controversy" was developed for upper-level non-STEM students. This course used the socioscientific context of climate change to teach chemical principles and the nature of science. Students used principles of agnotology (direct study of misinformation) to debunk climate change…

In this pedagogical reflection, a White mathematics teacher educator describes what she learned from three Latina pre-service teachers who were recent immigrants from Mexico while they completed an elementary mathematics methods course. Using Rochelle Gutierrez's (2012) metaphor of a window and mirror, the author interrogates her own identity and…

For more than 100 years, research on the psychology of reading has proliferated. In this article, the authors wish to help modern reading researchers understand the origins of the discipline and benefit from its history. This article draws heavily on Edmund Burke Huey's 1908 landmark volume "The Psychology and Pedagogy of Reading,"…

It is a common view that developing teachers' competence to restructure or reframe their knowledge and beliefs is inevitably a complex challenge. This paper reports on a research project with the aim to develop science teachers' pedagogical content knowledge (PCK) through their participation in a learning study. A learning study is a…

Education data can empower educators, students, parents, and policymakers with the information they need to make the best decisions to improve student achievement, information that can move the nation toward an education system in which every student graduates prepared for college and career. Safeguarding the privacy of student data is a critical…

In this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a "border" of fixed width about a geometric object. Although the approach does not yield similar shapes in general, the mathematical underpinnings of…

Since long time ago, many authors advocated for more presence of physics history in physics teaching and learning in order to give students a better vision of the "nature of science", in other words, to let them learn not only established physics knowledge but also the ways of how physicists managed to get that knowledge. Generally,…

Accompanying the growth in student diversity, the disproportional representation of culturally and linguistically diverse (CLD) students in special education categories has drawn the attention of researchers and educators. However, teachers often reported a lack of competence to work with CLD population with and without disabilities. The purpose…

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…