Teaching and Learning High School Mathematics

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.

Spis treści:
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                                              
60;                                                 
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       &# 160;                                                                                                   
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                          0;                                          
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                                                                                                & #160;                              
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: Geomet ry 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              0;                                                                                  
(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   &#