E-Book Overview
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 deep 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 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 T Typical Errors This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers.
E-Book Content
THE MATHEMATICS THAT EVERY SECONDARY SCHOOL MATH TEACHER NEEDS TO KNOW
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 deep 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. Launch questions at the beginning of each section capture interest and involve readers in the learning of the mathematical concepts. Student Learning Opportunities provide chances to practice problems associated with what has been learned in the chapter, to complete proofs that are mentioned but not proved, and to apply what has been learned to solving real-life problems. Questions from the Classroom are featured in every chapter and in the Student Learning Opportunities, such as the deep “why” conceptual questions that middle or secondary school students are curious about, questions requiring analysis and correction of typical student errors and misconceptions, questions focused on counterintuitive results, and questions that contain activities and/or tasks suitable for use with secondary school students. Highlighted themes throughout the chapters aid readers in becoming teachers who have great “MATH-N-SIGHT” M A T H N S I G H T
Multiple Approaches/Representations Applications to Real Life Technology History Nature of Mathematics: Reasoning and Proof Solving Problems Interlinking Concepts: Connections Grade Levels Honing of Mathematical Understanding and Skills Typical Errors
This text is aligned with the recently released Common Core State Standards, and is ideally suited for a capstone mathematics course in a secondary mathematics certification program. It is also appropriate for any methods or mathematics course for pre- or in-service secondary mathematics teachers, and is a valuable resource for classroom teachers. Alan Sultan is Professor, Mathematics, Queens College of the City University of New York. Al