Memorization vs Deep Understanding in Math: Why Students Need Both
Why the strongest math students combine automaticity with conceptual understanding—and how I intentionally build both.
Articles
I write for busy parents and motivated students who care about the "why" behind grades: learning science, expert practice, and the details of how we build real mastery—especially in high-stakes contexts like honors courses and SAT prep.
Why the strongest math students combine automaticity with conceptual understanding—and how I intentionally build both.
A clear comparison of mastery-based learning and spiral curriculum, and why the best results come from a smart hybrid.
A practical learning loop covering active recall, interleaving, spaced repetition, feedback, and productive struggle.
Why the right kind of struggle builds deeper understanding, resilience, and long-term mastery in math.
Why time alone doesn’t create expertise—and the four conditions that actually drive real skill development.
What neuroscience reveals about struggle, mistakes, and sleep—and how your brain turns effort into lasting learning.
A structured, evidence-based SAT preparation plan using College Board, Khan Academy, and Bluebook.