This paper describes a classroom demonstration that showcases how pre-existing beliefs (e.g., stereotypes) influence problem-solving. Across four studies, participants solved riddles with gender stereotype-consistent (e.g. doctor is male) or gender stereotype-inconsistent (e.g., doctor is female; barber is female) solutions. Solve time, perceived…

This article examines how students taking a post-compulsory physics course for 16- to 19-year-olds (A-level physics) benefited from a change in pedagogy which meant that they spent more time problem solving in collaborative groups. Video analysis of these collaborative problem-solving sessions revealed that the students improved a number of key…

One of the greatest challenges facing students new to calculus is the ability to persevere in the face of failure. Whether the student is choosing an integration technique or a series test, calculus is often the first course in mathematics where the path to the solution is not prescribed in an algorithmic way. At Jacksonville University we…

Tablets have much to offer children with learning difficulties, but evidence of their effectiveness to teach academic skills is limited and cannot be easily separated from the quality of the software. This paper analyses data from 3 iterative cycles of designing an app for children with Down syndrome to support their awareness of quantity through…

In a multi-institutional study, the authors examine elementary preservice teachers' (PSTs') noticing skills before and after their engagement in a mathematics methods course. In particular, the authors examine their use of "Cognitively Guided Instruction" (CGI) as a means of supporting the development of PSTs' "professional noticing…

In this article, I use the Vygotskian concept of the Zone of Proximal Development (ZPD) to examine the learning experience of two grade seven pupils as they attempted to solve an addition of fractions problem using fraction strips. The aim is to highlight how tools can facilitate the enactment of a ZPD, within which the tool provides the guidance.…

Drawing appropriate diagrams is a useful problem solving heuristic that can transform a problem into a representation that is easier to exploit for solving it. One major focus while helping introductory physics students learn effective problem solving is to help them understand that drawing diagrams can facilitate problem solution. We conducted an…

In recent decades, technology has influenced various aspects of assessment in mathematics education: (1) supporting the assessment of higher-order thinking skills in mathematics, (2) representing authentic problems from the world around us to use and apply mathematical knowledge and skills, and (3) making the delivery of tests and the analysis of…

Cases like that of John Howard Yoder--a pacifist theorist who perpetrated sexual violence--raise difficult questions about teaching material implicated in traumatic pasts. This paper argues that "moral injury" provides a useful framework for understanding the dynamics of teaching prominent cases of tainted legacies like Yoder's and for…

Teaching the regulation of emotions to support parents in educating their children to come of age properly was part of a missionary movement in late sixteenth- and seventeenth-century Europe. This movement was inspired by the belief in the power of education from the northern European Renaissance and by the emphasis on catechism by the…

Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…

Prior research has used many variants of "be creative" or brainstorm instructions to enhance creativity in a variety of tasks. However, differences in instruction wording may lead to differences in instruction interpretation, and varying the placement of instructions before or after a written problem description may lead to differences…

The purpose of this qualitative instrumental case study was to explore how faculty at a private research university utilize the service-learning pedagogy to advance their scholarship of teaching and learning. Of specific interest was what influences them to utilize the service-learning pedagogy in their scholarship of teaching and learning, and…

The United States has a long, complicated history with sex education as, often, different stakeholders advocate dissimilar educational frameworks (Irvine, 2004). Although controversies remain in defining the boundaries of sex education, there is a movement both nationally and internationally to define sex education comprehensively (Haberland &…

Physics problems can be posed in different ways. Given a physics scenario, different problem types presenting that scenario in various ways can emphasize different instructional goals. In this investigation, we examined the views of physics graduate teaching assistants (TAs) enrolled in a semester-long TA professional development course about the…