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Writing

Notes on studying mathematics and statistics

Occasional pieces on the reasoning, notation, and habits that separate understanding a topic from executing it under exam pressure, the same things I work on with students.

July 2026 Which chi-square test? Independence or homogeneity With goodness-of-fit removed from the revised AP Statistics course, the chi-square decision comes down to independence versus homogeneity. Here is how to tell them apart and the conditions to check. Read → July 2026 Writing parameters in AP Statistics Defining the parameter is where a lot of inference answers quietly go wrong. Here is a clean way to write parameters and hypotheses, with a worked example for every procedure. Read → July 2026 The notation that quietly costs AP Calculus points Strong calculus students often lose free-response points on notation and justification rather than on ideas. Here are the habits that keep the credit you've earned. Read →