What knowledge of mathematics do secondary school math teachers need to facilitate understanding, competency, and interest in mathematics for all of their students? This unique text and resource bridges the gap between the mathematics learned in college and the mathematics taught in secondary schools. Written in an informal, clear, and interactive learner-centered style, it is designed to help pre-service and in-service teachers gain the mathematical insight they need to engage their students in learning mathematics in a multifaceted way that is interesting, developmental, connected, deep, understandable, and often, surprising and entertaining. Features of this title include: Launch questions at the beginning of each section, Student Learning Opportunities, Questions from the Classroom, and highlighted themes throughout to aid readers in becoming teachers who have great 'MATH-N-SIGHT' - M: Multiple Approaches/Representations, A: Applications to Real Life, T: Technology, H: History, N: Nature of Mathematics - Reasoning and Proof, S: Solving Problems, I: Interlinking Concepts - Connections, G: Grade Levels, H: Honing of Mathematical Skills, and T: Typical Errors. This text is ideally suited for a capstone mathematics course in a secondary mathematics certification program, is appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.

Índice: Preface Notes to the Reader/Professor Acknowledgments Intuition and Proof Basics of Number Theory Theory of Equations Measurement: Area and Volume The Triangle: Its Study and Consequences Building the Real Number System Building the Complex Numbers Induction, Recursion and Fractal Dimension Functions and Modeling Geometric Transformations Trigonometry Data Analysis and Probability Introduction to Non-Euclidean Geometry Three Problems of Antiquity Appendix Index