Using math in physics -- Overview

TL;DR

This paper discusses how integrating physical understanding with mathematical skills in science alters interpretation and emphasizes the importance of scientific thinking skills, proposing tools to help students develop these skills.

Contribution

It provides an overview of the skills involved in blending math with physics and introduces tools to enhance students' scientific thinking abilities.

Findings

Math in physics involves blending physical knowledge with mathematical understanding.

Students need specific scientific thinking skills to interpret equations meaningfully.

Proposed tools aim to develop these skills in physics education.

Abstract

The key difference between math as math and math in science is that in science we blend our physical knowledge with our knowledge of math. This blending changes the way we put meaning to math and even to the way we interpret mathematical equations. Learning to think about physics with math instead of just calculating involves a number of general scientific thinking skills that are often taken for granted (and rarely taught) in physics classes. In this paper, I give an overview of my analysis of these additional skills. I propose specific tools for helping students develop these skills in subsequent papers.