Thinking Like a Mathematician
This introductory course for students (and teachers too!) reviews topics from the middle-school curriculum in a new and refreshing way and teaches you the thinking of a professional mathematician! You may feel that you have seen many of these topics before, but you will be surprised at the depth of joy and discovery and freedom that lies at the heart of "simple" ideas. Dare yourself to engage in intellectual creativity and to learn to think like a real mathematical scholar! Prepare yourself for high-school thinking in a way that will astound both high-schoolers and high-school teachers! These eighteen chapters, "MATHEMATICAL THINKING: NUMBERS AND THEIR ALGEBRA," will enthrall and delight student and teacher alike!
Here are the course materials: