As a mathematics education researcher, I study how math instruction impacts students' learning, from following standard math procedures to understanding mathematical concepts. Focusing on the latter, ...

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, ...

Representations play a vital role in enhancing students’ understanding of mathematics by transforming complex problems into graphical, visual, symbolic, or alternative linguistic formats (National ...

“The nail and hammer are fundamental to the manufacture of chairs, tables, stools, cabinets, and other varied items. So are certain ‘Mathematical Formulas or Relationships’ to the solution of diverse ...

Why is mathematics so complicated? It’s a question many students will ask while grappling with a particularly complex calculus problem – and their teachers will probably echo while setting or marking ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

Mathematics is often thought of as a subject that a student either understands or doesn't, with little in between. In reality, mathematics encompasses a wide variety of skills and concepts. Although ...

This study adopted a content-analysis method to examine the differences in how the topic of functions was handled by Finnish, Singaporean, and Taiwanese middle-grade mathematics textbooks for children ...