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Informationen zum Autor Dr. Charlene Beckmann is a professor of Mathematics at Grand Valley State University. Her research interests include: assessment, cooperative learning, real life uses of mathematics, functions, games, literature and mathematics, technology, how conceptual understanding builds their ability to understand and write proofs. Klappentext A perfect resource for high school mathematics teachers, this book helps them develop or refine their own teaching philosophy. They'll learn how to create a supportive classroom environment in which their students think together, take intellectual risks, and debate ideas. They'll gain a better understanding about the importance of cooperative learning strategies through immersion. And they'll engage in logic and reasoning. Puzzles and activities are presented to bring the material to life as well. All of this will help high school mathematics bring the excitement of the subject into the classroom. Zusammenfassung A perfect resource for high school mathematics teachers! this book helps them develop or refine their own teaching philosophy. They'll learn how to create a supportive classroom environment in which their students think together! take intellectual risks! and debate ideas. Inhaltsverzeichnis Course Introduction Mathematics Education: Where Do I Stand? Unit One. Encouraging Communication in Mathematics Classrooms (Mathematics Strand: Logic and Reasoning) Unit One Team-Builder: Carpet Square Maze Preparing to Observe Mathematics Classrooms: Focus on Equity Listening to Students Reason About Mathematics 1.1 Developing Questioning Strategies: Conjecturing and Reasoning 1.2 Exploring Mathematical Concepts Cooperatively: Reasoning with Conditional Statements 1.3 Using Representations to Investigate Mathematics: Reasoning with Conjunctions, Disjunctions, and Negations 1.4 Learning from Students: Valid and Invalid Arguments 1.5 Summarizing Classroom Observations and Listening to Students: Focus on Equity Synthesizing Unit One Unit One Investigation: Carpet Square Mazes Unit Two. High School Students and How They Learn (Mathematics Strands: Geometry and Measurement) Unit Two Team-Builder: Transformed Snowflakes Preparing to Observe Mathematics Classrooms: Focus on Learning Listening to Students Reason About Geometry Understanding Geometry Learning: Coordinate Geometry 2.2 Building Conceptual Understanding: Congruence and Similarity 2.3 Learning Mathematics through Multiple Perspectives: Quadrilaterals and Constructions 2.4 Using Physical Tools and Technology: Circles 2.5 Tasks with High Cognitive Demand: Measurement in the Plane and in Space 2.6 Doing Mathematics: Axiomatic Systems 2.7 Summarizing Classroom Observations and Listening to Students Synthesizing Unit Two Unit Two Investigation: Transformations Unit Three. Planning for Instruction (Mathematics Strands: Algebra and Functions) Unit Three Team-Builder: Find Your Function Family Preparing to Observe Mathematics Classrooms: Focus on Curriculum and Technology Listening to Students Reason about Functions 3.1 Building on Students' Knowledge and Experiences: Understanding Variables and Linear Functions 3.2 Thinking about Learning Outcomes: Exponential Functions 3.3 Active Learning: Modeling Data Through Experiments 3.4 Teaching with Technology: Geometry of Functions 3.5 Increasing Challenge or Accessibility of Problems: Polynomial Functions 3.6 Accommodating Different Learning Styles: Rational Functions 3.7 Summarizing Observations and Listening to Student...
