My course “Geometry after Algebra 1” includes and balances three pillars: geometric computations, geometric proofs and geometric constructions, while the course “Geometry after PreAlgebra” focuses on only geometric computations and omits the other two. In “Geometry after Algebra 1”, students need to understand proofs of theorems and derivations of formulas. They need to know howContinue reading “What Are the Differences between the Two Courses “Geometry after Algebra 1” and “Geometry after PreAlgebra”?”
Tag Archives: mathematics
Textbooks of Elementary Math Courses
There are a large number of textbooks for each elementary math course. We may easily agree on what a bad textbook reads like but have different opinions about what makes a good textbook. In my humble opinion, a good textbook must explain math clearly in a precise and concise manner, demonstrates a variety of problemContinue reading “Textbooks of Elementary Math Courses”
Prealgebra
Prealgebra serves as a bridge to connect arithmetic and algebra. As its name suggests, Prealgebra is a course to prepare students for algebra, the unifying thread of almost all mathematics. In my Prealgebra course, I cover the following topics. I write my own notes for these topics using the AoPS Prealgebra book as the mainContinue reading “Prealgebra”
K-12 Math Enrichment Courses 