One of my favorite lessons to teach is the debriefing after a contest goes well for my students. After talking through these problems repeatedly, I decided to make a video compiling the key insights for each one. Feel free to comment or reach out with any questions or thoughts you have about particular problems/solutions. https://youtu.be/9aeH3HYW1fg

Independently answer every single challenge question in the following AoPS books: Prealgebra Intro to Algebra Intermediate Algebra Intro to C&P Intermediate C&P Intro to Number Theory Intermediate Number Theory Intro to Geometry Intermediate Geometry (If your kid gets stuck along the way, that is where my lessons are a benefit. But no amount of lessons is a replacement for working through the books for hours and hours.) This path may look simple, but s imple does not mean eas

In an age of constant distractions, avoidance of memorization, and treating the arts as nothing more than self expression, Latin offers something rare and enduring: an opportunity for students to experience internalizing vast classical knowledge and using it to strengthen their logical thinking skills around the humanities. A proper education should result in the ability to meaningfully engage in a millennia-long conversation about human nature, virtue, and truth. Latin unloc

If your child is ready for more depth and challenge than their current humanities classes provide, Latin offers a powerful foundation in logic, language, and culture. Even highly educated families often find Latin difficult to begin, especially without a roadmap or personal experience with the language. This guide outlines the same path I use with students who want to study Latin seriously from day one, whether they’re homeschooling or supplementing an elite education. Why st

There is often a deep mismatch between how showing work is taught in schools versus how the most advanced students experience math. Therefore, I wanted to share this stellar Art of Problem Solving blog post that helps parents understand and communicate with their child why, where, and how showing work matters. https://artofproblemsolving.com/blog/articles/why-wont-my-child-show-any-work#:~:text=Early%20in%20their%20first%20AoPS,need%20to%20be%20broken%20down . Here is a quick