Mathematics is a critical part of much scientific research. Physics in particular weaves math extensively into its instruction beginning in high school. Despite much research on the learning of both physics and math, the problem of how to effectively include math in physics in a way that reaches most students remains unsolved. In this paper, we…

This article explains four kinds of inquiry exercises, different in purpose, for teaching advanced-level high school and college students the hypothetico-deductive (H-D) method. The first uses a picture of a river system to convey the H-D method's logic. The second has teams of students use the H-D method: their teacher poses a hypothesis…

Abstract algebra courses tend to take one of two pedagogical routes: from examples of mathematics structures through definitions to general theorems, or directly from definitions to general theorems. The former route seems to be based on the implicit pedagogical intention that students will use their understanding of particular examples of an…

Is it feasible and appropriate to develop a sustainability metrics which captures cosmological-spiritual dimensions of un/sustainability? Departing from the supposition that the crisis of unsustainability is a crisis of worldview and misguided cosmology which needs redirection on a cultural and global scale, this essay introduces the notion of a…

Of all the uncertain problems which curriculum theorists encounter, teaching curriculum to graduate students is among the most problematic. On the one hand is the mass of knowledge and concepts about curriculum. On the other hand is the student who, more often than not, has limited experience in putting abstract ideas to practical use. If the…