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.
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 Students Synthesizing Unit Three Unit Three Investigation: Families of Functions Unit Four. Lesson Planning (Mathematics Strands: Data Analysis and Probability) Unit Four Team-Builder: A Dream Team in Hockey Preparing to Observe Mathematics Classrooms: Focus on Teaching Listening to Students Reason about Data Analysis and Probability 4.1 Planning a Lesson Launch and Explore: Data Analysis 4.2 Planning a Lesson Share and Summarize: Probability 4.3 Blending Direct Instruction into a Lesson: Variability and Distributions 4.4 Planning for Alternative Schedules: Statistical Decision Making 4.5 Summarizing Observations and Listening to Students Synthesizing Unit Four Unit Four Investigation: Build Your Own Dream Team Unit Five. Assessment of Students' Learning (Mathematics Strand: Precalculus) Unit Five Team-Builder: Conic Conundrums Preparing to Observe Mathematics Classrooms: Focus on Assessment Listening to Students Reason about Precalculus 5.1 Daily Assessments: Limits 5.2 Rubrics: Rates of Change 5.3 Designing and Aligning Tests with Instruction 5.4 Alternative Assessments: Accumulations 5.5 Summarizing Observations and Listening to Students Synthesizing Unit Five Unit Five Investigation: Conic Sections Unit Six. Collaborating with Educational Partners Listening to Educational Partners about Issues in Mathematics Education 6.1 Evaluating Curriculum Materials 6.2 Coordinating Curricula Beyond the Classroom 6.3 Continued Professional Development 6.4 Summarizing Interviews on Educational Issues Synthesizing Unit Six