This article describes how mathematics may be experienced in widely different ways across mathematics and physics courses and highlights some unexpected constraints in a trigonometry curriculum. The examples and discussion are based on a study (Mateas 2020) that compares how trigonometry is portrayed in representative physics (i.e., "Holt…

A number of useful and interesting exercises regarding nucleus and nuclear fission are performed to make these concepts more understandable to high school or even college students.

In this study, we derived several formulas for the currents induced in a circular loop by a magnet connected to a spring-based simple harmonic oscillation system. In addition, we conducted an experiment for measuring the induced currents and compared the results with the theoretical prediction. It was confirmed that the prediction from the derived…

The damaging outcomes of racist ideologies continue to influence all aspects of society. This in spite of the fact that at their core these ideologies rely on a fundamentally false assumption: that biologically there are different races among humans. The source of this fallacy is pseudoscience and historical prejudice, and yet even scientists and…

In this article, we present a hierarchical model for teaching scientific thinking to gifted students. This article follows up on an article published 40 years ago in this journal. The problem now, as 40 years ago, is that gifted students often are taught science courses at a more intensive level, but without their truly learning how to think…

Science diagrams are an integral part of science because they are an important means of conveying and visualizing abstract science content. In recent years, researchers have demonstrated the educational benefits of encouraging students to draw their own conceptual diagrams, rather than focusing on interpreting diagrams given to them. To help…

The ability of living organisms to respond and adapt to a changing climate is an urgent concern. However, current educational efforts aimed at increasing US undergraduate student climate literacy primarily focus on the causes of, and abiotic responses to, climate change, mostly neglecting the biotic impacts. Here, we present a new framework, the…

This study aims to examine the effects of argumentation-supported problem-based learning (AS-PBL) carried out in the Chemistry-II laboratory course on the conceptual understanding of prospective science teachers about "Chemical equilibrium and Le-Chatelier's principle". The prospective teachers' answers were analyzed using content…

The 5E teaching model is presented as an inquiring-based instructional method that benefits learners by letting them construct their knowledge of the class concepts from what they have learned or experienced. The sole purpose of the studies was to compare grade 7 students' learning achievement of science before and after learning in the learning…

This study determined the effect of misconceptions intervention on students' conceptual change in the concepts of density and floatation in basic science. The moderating effects of gender and school types on students' conceptual change in the selected concepts were also determined. The misconception interventions in this study are hands-on…

Genetics forms a major part of A-level biology specifications in the UK for 16- to 18-yearolds. Research has identified several reasons why learning genetics is hard. However, research has not investigated whether examiner reports are useful for identifying difficult genetics concepts for students. This research explored the extent to which…

A method is adapted for calculating two measures of entropy for gaze transitions to summarize and statistically compare eye-tracking data. A review of related eye-tracking studies sets the context for this approach. We argue that entropy analysis captures rich data that allows for robust statistical comparisons and can be used for more subtle…

This article describes one participating teacher's reflections on the generalizable strategies and structures from the professional development (PD) sessions that enabled her sensemaking, and how she translated these generalizations into her own second-grade classroom. Readers will be able to make their own useful generalizations from these…

We conducted a multiyear project across three institutions to develop an instructional tutorial that supports student understanding of change of basis in quantum mechanics. Building from our previous work, we identified learning goals to guide activity development. The tutorial makes an analogy between spin-1/2 states and a Cartesian coordinate…

High school students are very seldomly, if at all, taught that race is a social rather than biological construct, and this pedagogical omission has led to biological essentialism. Biological essentialism is the belief that race can be used in predictable ways to determine intellect and/or behavior. Biological essentialism can result in the belief…