The Brilliance Pages is a journal of articles and ideas gleaned from research, reading, and experience to help encourage and inspire great teaching.
Improve Mathematical Thinking appreciates the fact that mathematical thinking differs from thinking in other subjects in its vocabulary, symbols, and grammar. It requires working with multiple solutions and problem generation by thinking across concepts and thinking about thinking in a more complex way. Suggestions are made for ways that teachers can help students achieve their math potential, including teaching them in more enjoyable ways, and by addressing them through their preferred learning styles.
Lively Math Teaching introduces elements that teachers can have and what they can do to have successful and lively math classes. Teachers can compile concise yearly goals for their pupils; inspect the textbook and select supplementary resources; map out the whole year; have daily unit and chapter overviews; create internal excitement; insist on clearly headed, well organized, and neatly written papers; instruct in ways that relate equally to each learning style; provide prompt feedback; have common sense rules; minimize whole class instruction and maximize one-on-one instruction; optimize use of class time; and be prepared and inspired.