Amanda has been doing the Art of Problem Solving Pre-Algebra course. It's about the opposite of, "do 100 problems almost the same using this technique. Now do 100 more problems on the next technique." They stress problem solving, applying techniques in creative ways, and learning through struggling with the topic. To begin each chapter they give 5-6 problems that illustrate the topics in the chapter. First the student struggles with the problems and maybe (or maybe not) discovers the methods used in the chapter to solve the problems and why they work. Then the student reads the chapter to connect what she's learned through struggling with the mathematical theorems. Some of the problems are really hard. Sometimes Amanda sits staring at a problem not doing anything. I've encouraged her to write something and she seems to be picking that up. But it's not always obvious what to do so sometimes I help her to start. The problem is that some...
Mostly a family blog, with occasional parenting advice, as well as a few opinions...