Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9—12

Developing Essential Understanding of Functions for Teaching Mathematics in Grades 9-12 is an invaluable resource for high school mathematics educators seeking to deepen their comprehension of one of the most challenging topics in the curriculum. This 112-page softcover book, published by NCTM, addresses critical questions that teachers face: Are sequences functions? Why does the vertical line test have limitations? How does rate of change connect proportionality to calculus? Authored by Gwendolyn Lloyd, Sybilla Beckmann Kazez, and Rose Mary Zbiek, this professional development guide is organized around five big ideas supported by interconnected essential understandings. It goes beyond basic introductions to help teachers engage students effectively, anticipate common perplexities, avoid instructional pitfalls, and dispel misconceptions. The book also provides guidance on developing appropriate assessment tasks, techniques, and tools for evaluating student understanding. Measuring 10 inches by 7 inches and weighing 9.4 ounces, this practical guide empowers educators to teach functions with confidence and mathematical depth.