Celebrating Mathematical Mistakes (eBook)

In this practical guide, authors Wessman-Enzinger and Gerstenschlager provide a foundation for celebrating mathematical mistakes and offer several strategies and task structures that encourage creative and flexible mathematical reasoning. Part of the Growing the Mathematician in Every Student collection, this book moves beyond the correct-incorrect paradigm by acknowledging the beauty, power, and ubiquity of mistakes, supporting more meaningful student learning. This book will help educators: Learn three types of mistakes and their roles in mathematical reasoningUnderstand how mathematical errors encourage creativitySupport students invented notation and language as demonstrations of their learningApply strategies and task structures with real-life vignettesReflect on chapter content with promptsContents:IntroductionPart 1: Celebrating Mathematical MistakesChapter 1: Shifting Our Views of MistakesChapter 2: Beautiful and Powerful MistakesChapter 3: Factual, Procedural, and Conceptual Mistakes Chapter 4: Mistakes by Mathematicians Part 2: Mathematical Mistakes in ActionChapter 5: Two Foundational Instructional Strategies for Examining MistakesChapter 6: Changing Minds in MathematicsChapter 7: This or That TasksChapter 8: Invented Notation and Language Chapter 9: Mathematical Games Chapter 10: Mistakes in ActionEpilogueReferences and ResourcesIndex