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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.
Course Introduction | |
Mathematics Education: Where Do I Stand? | |
Encouraging Communication in Mathematics Classrooms (Mathematics Strand: Logic and Reasoning) | |
Unit 1 Team-Builder: Carpet Square Maze | |
Preparing to Observe Mathematics Classrooms: Focus on Equity | |
Listening to Students Reason About Mathematics | |
Developing Questioning Strategies: Conjecturing and Reasoning | |
Exploring Mathematical Concepts Cooperatively: Reasoning with | |
Conditional Statements | |
Using Representations to Investigate Mathematics: Reasoning with | |
Conjunctions, Disjunctions, and Negations | |
Learning from Students: Valid and Invalid Arguments | |
Summarizing Classroom Observations and Listening to Students: | |
Focus on Equity | |
Synthesizing Unit One | |
Unit 1 Investigation: Carpet Square Mazes | |
High School Students and How They Learn (Mathematics Strands: Geometry and Measurement) | |
Unit 2 Team-Builder: Transformed Snowflakes | |
Preparing to Observe Mathematics Classrooms: Focus on Learning | |
Listening to Students Reason About Geometry | |
Understanding Geometry Learning: Coordinate Geometry | |
Building Conceptual Understanding: Congruence and Similarity | |
Learning Mathematics through Multiple Perspectives: Quadrilaterals and Constructions | |
Using Physical Tools and Technology: Circles | |
Tasks with High Cognitive Demand: Measurement in the Plane and in Space | |
Doing Mathematics: Axiomatic Systems | |
Summarizing Classroom Observations and Listening to Students | |
Synthesizing Unit Two | |
Unit 2 Investigation: Transformations | |
Planning for Instruction (Mathematics Strands: Algebra and Functions) | |
Unit 3 Team-Builder: Find Your Function Family | |
Preparing to Observe Mathematics Classrooms: Focus on Curriculum and Technology | |
Listening to Students Reason about Functions | |
Building on Students' Knowledge and Experiences: Understanding | |
Variables and Linear Functions | |
Thinking about Learning Outcomes: Exponential Functions | |
Active Learning: Modeling Data Through Experiments | |
Teaching with Technology: Geometry of Functions | |
Increasing Challenge or Accessibility of Problems: Polynomial Functions | |
Accommodating Different Learning Styles: Rational Functions | |
Summarizing Observations and Listening to Students | |
Synthesizing Unit Three | |
Unit 3 Investigation: Families of Functions | |
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 | |
Planning a Lesson Launch and Explore: Data Analysis | |
Planning a Lesson Share and Summarize: Probability | |
Blending Direct Instruction into a Lesson: Variability and Distributions | |
Planning for Alternative Schedules: Statistical Decision Making | |
Summarizing Observations and Listening to Students | |
Synthesizing Unit Four | |
Unit 4 Investigation: Build Your Own Dream Team | |
Assessment of Students' Learning (Mathematics Strand: Precalculus) | |
Unit 5 Team-Builder: Conic Conundrums | |
Preparing to Observe Mathematics Classrooms: | |
Focus on Assessment | |
Listening to Students Reason about Precalculus | |
Daily Assessments: Limits | |
Rubrics: Rates of Change | |
Designing and Aligning Tests with Instruction | |
Alternative Assessments: Accumulations | |
Summarizing Observations and Listening to Students | |
Synthesizing Unit Five | |
Unit 5 Investigation: Conic Sections | |
Collaborating with Educational Partners | |
Listening to Educational Partners about Issues in Mathematics Education | |
Evaluating Curriculum Materials | |
Coordinating Curricula Beyond the Classroom | |
Continued Professional Development | |
Summarizing Interviews on Educational Issues | |
Synthesizing Unit Six | |
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