Putting Essential Understanding into Practice: Geometry, 9–12

Putting Essential Understanding into Practice: Geometry, 9–12 by Barbara J. Dougherty. Paperback edition. ISBN: 9780873537360.

This comprehensive teaching resource equips high school geometry educators with the specialized pedagogical content knowledge needed to transform student understanding in grades 9-12. Written by Robert N. Ronau, Dan Meyer, and Terry Crites, this 205-page softcover guide addresses common student misconceptions about geometric concepts, from triangle construction to transformations and proof methodology. The book presents research-based strategies and practical classroom tasks that help teachers assess student reasoning about diagrams, definitions, and mathematical proof. Through carefully designed activities and questioning techniques, educators learn to identify gaps in student knowledge and guide learners toward deeper comprehension. Published by NCTM in 2015, this standard edition provides teachers with the tools to build student success not only in current geometry coursework but also in advanced mathematics and real-world applications. The guide emphasizes the critical distinction between examples and proof, helping students develop rigorous mathematical thinking essential for higher-level study.