Every teacher and school administrator should read one of the books in this series. Easy to follow and packed full of important insights based on research. The ideas are not all new anymore, but everything is science-based.
Some of the major points that I took away:
The importance of understanding that students do not arrive in school as blank slates, but, instead, already have ideas about the world and how things work. Teachers need to address the prior knowledge that students bring to the classroom and build off of it. Students can often also bring in incorrect ideas about the world and the concepts of a subject, so it is equally important to figure out what students believe and correct those misinterpretations before you can teach anything that builds on them. "A logical extension of the view that new knowledge must be constructed from existing knowledge is that teachers need to pay attention to the incomplete understandings, the false beliefs, and the naive renditions of concepts that learners bring with them to a given subject. Teachers need to build on these ideas in ways that help each student achieve a more mature understanding. If students' initial ideas and beliefs are ignored, the understandings that develop can be very different from what the teacher intends."
The authors discuss the difference between experts and novices; it turns out experts have memorized and can see patters much easier. They see the deep structure of a question, where as novices get stuck at the surface structure. "Research shows that it is not simply general abilities such as memory or intelligence, nor the use of general strategies that differentiate experts from novices. Instead, experts have acquired extensive knowledge that affects what they notice and how they organize, represent, and interpret information in their environment" (31).
Learning and transfer: The researchers make recommendations for a curriculum that covers the core topics or principles of a subject in great depth, rather than a superficial covering of a lot of material. "Attempts to cover too many topics too quickly may hinder learning and subsequent transfer because students a) learn only isolated sets of facts that are not organized and connected or b) are introduced to organizing principles that they cannot grasp because they lack enough specific knowledge to make them meaningful" (58). Subjects need to be taught in multiple contexts and the teaching must include examples that demonstrate wide application of what is being taught. Knowledge must be abstracted so that it becomes fluid and can be applied to many situations. Students must develop metacognitive skills. They should become aware of themselves as learners and be taught how to actively monitor their learning strategies and access what they know and have yet to master.