When you’re solving a challenging math problem, you know your brain is working hard. But what, exactly, is going on in there? Despite decades of research into math teaching and learning, there is ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. For many people, free association with the word “mathematics” would produce strong, ...

Our analyses of the mathematics to be learned, our reading of the research in cognitive psychology and mathematics education, our experience as learners and teachers of mathematics, and our ...