- The Vector Calculus Gap (the paper which got us started)
- Electromagnetic Conic Sections (a new way to look at divergence and curl) (HTML version; ©)
- Using Differentials to Bridge the Vector Calculus Gap (the core of our approach) (corrected version)
- Bridging the Vector (Calculus) Gap (suggestions for teaching about vectors)
- The Murder Mystery Method (finding potential functions made easy)
- Spherical Coordinates (a proposal for bridging a language gap)
- Bridging the Gap between Mathematics and Physics (language differences between disciplines)
- Bridging the Gap between Mathematics and the Physical Sciences (more on language differences)
- The Geometry of the Dot and Cross Products (a geometric approach) (MathML version; plugin)
- Why is Ampère's Law so Hard? (student difficulties mastering this material) (HTML version; ©)
- Putting differentials back into calculus (differentials in first-year calculus)
- A Difficult Climb (a dialogue about paths on hills) (©)
- Finding Geodesics (further comments on hills) (Mathematica notebook; ©)
- Using differentials to differentiate trigonometric and exponential functions (further uses of differentials)
- From Fear to Fun in Thermodynamics (uses of partial derivatives in thermodynamics)
- Partial derivative games in thermodynamics: A cognitive task analysis (how some experts use partial derivatives)
- Experts' understanding of partial derivatives using the Partial Derivative Machine (more expert reasoning)
- An extended theoretical framework for the concept of derivative (new representations of derivatives)
- Thick Derivatives (blog post on partial derivatives)
- Interpreting Derivatives (more on representations of derivatives)
- Using Embedding Diagrams to Visualize Curvature (curvature via dr-vector)

- (Full citation information is available on this website. A BiBTeX file is available here.)