In our mathematics methods courses for elementary preservice teachers, we work to uncover and confront students' understandings as well as misconceptions about important mathematical topics. Karp and colleagues' ("Teaching Children Mathematics", 21(1), 18-25) "13 Rules That Expire" article has been a useful resource for us to…

One experienced school administrator shares two common misconceptions about teaching and learning that he once thought were the gold standards, then reflects on how adaptive leaders must continuously learn themselves, shifting their practices when and where it is necessary to provide the best education for students.

Introduction: As higher education continues to prioritize diversity, equity, and inclusion (DEI), cognitive/behavioral neuroscience and other physiologically based psychology courses may face challenges incorporating DEI issues into the curriculum relative to other subfields of psychology. Statement of the Problem: Instructors of these courses may…

We are surrounded by controversy--politics, religion, diets, and even science are all up for debate in our 24/7 world of social media and the internet. With this controversy comes a lot of misinformation and competition with what our students might otherwise be learning in our classrooms. I know this intimately, since I teach fitness and nutrition…

Prior research highlights a positive effect of incorrect worked examples on mathematics learning. Yet the mechanisms underlying these benefits are unclear. To investigate potential mechanisms of the benefits of various worked example types, we examined process data from a previously published classroom-based experiment. More specifically, we…

Although our students correctly define the terms p-value, Type I and Type II errors, they sometimes misinterpret results from real data. In this work we present an assignment intended to clear up these misconceptions.

We are living in an era where reality, truth, and facts are being turned upside down and inside out. Fake news and falsehoods are being spewed out in increasing exponential rates. I was prompted to do something about the propensity of fake news through post-truth discourse and designed an undergraduate course that I titled: Bullshit, Fake News,…

This is an exploratory study considering instructional methods in mathematics education. The study examined misconceptions arising from selected assignments undertaken by sixty-five students. The students were attending a calculus mathematical course unit on limits of functions, in different academic areas offered at selected tertiary institutions…

The aim of this research was to study and investigate first year university calculus students' misconceptions about how to use the definition of limit to find the first derivative of functions and then remediate these misconceptions by using APOS theory (Action, Process, Object, and Schema). Students (n = 82 female and male) were selected based on…

This study explores how undergraduates, as historical thinkers, learn to interact with history and construct their understanding of the past, and examines the role that primary and secondary sources play in narrative construction and revision. Using the African American civil rights movement as a content focus, participants used images to create…

This three-article dissertation explores Learning by Evaluating (LbE), an educational approach that enhances student learning through the process of assessing and providing feedback on peer work. Leveraging principles of comparative judgement, students evaluate pairs of exemplars side-by-side to determine which is better and provide a rational for…

Elementary pre-service teachers in an upper-division algebra mathematics content course explored graphing through the use of Calculator-Based Rangers™ (CBRs). This study explores how they used the "Distance Match" feature of the technology to engage in algebraic thinking. Operating CBR technology, pre-service teachers' perceptions…

The author was invited as a teaching artist into a first-grade classroom in New York City to teach a 14-session poetry residency culminating in an anthology of student writing. They began by sitting together on a carpet by the interactive whiteboard and read aloud several examples of "I wish" poems from Kenneth Koch's (1970) wonderful…

Many teachers of required secondary school mathematics classes are introducing statistics and probability topics traditionally relegated to college or AP Statistics courses. As a result, they need guidance in preparing lesson plans and orchestrating effective classroom discussions. In this article, the authors will describe the students' learning…

Students enter physical education teacher education (PETE) programs with preconceived notions about what it means to be a physical educator, developed in response to their own experiences in K-12 physical education. These preconceived notions may be flawed or incomplete and, in order to be effective, PETE programs must help preservice teachers…