Thinking Like a Mathematician
Lessons That Develop Habits of Mind and Thinking Skills for Young Mathematicians in Grade 3
Thinking Like a Mathematician focuses on high-interest, career-related topics in the elementary curriculum related to mathematics. Students will explore interdisciplinary content, foster creativity, and develop higher order thinking skills with activities aligned to relevant content area standards. Students will engage in exploration activities, complete mathematical challenges, and then apply what they have learned by making real-world connections. Thinking Like a Mathematician reflects key emphases of curricula from the Center for Gifted Education at William & Mary, including the development of process skills in various content areas and the enhancement of discipline-specific thinking and habits of mind through hands-on activities.
Table of Contents
Introduction Introductory Lesson: What Is a Mathematician? Unit 1: Systems of Counting Lesson 1.1: Explore Different Counting Systems Lesson 1.2: Apply Binary Counting Lesson 1.3: Project: Systems of Counting Around the World Unit 2: Order of Operations Lesson 2.1: Explore the Order of Operations Lesson 2.2: Apply the Order of Operations Lesson 2.3: Project: Reflect on the Order of Operations Unit 3: Patterns Lesson 3.1: Explore Patterns Lesson 3.2: Apply Patterns to the Golden Spiral Lesson 3.3: Project: Analyze Patterns in Art Unit 4: Time and Measurement Lesson 4.1: Explore Time on Planets Lesson 4.2: Apply Solar Math Lesson 4.3: Project: Design Solar Models Unit 5: Graphing, Data, and Charts in Algebra Lesson 5.1: Explore Linear Data, Charts, and Graphs Lesson 5.2: Apply Nonlinear Data, Charts, and Graphs Lesson 5.3: Project: Create a Business Plan Unit 6: Geometry Lesson 6.1: Explore Perimeter and Area Lesson 6.2: Apply Properties of Quadrilaterals Lesson 6.3: Project: Analyze Famous Architecture Unit 7: Data Analysis and Statistics Lesson 7.1: Explore Tidal Data and Statistics Lesson 7.2: Apply Data Analysis Lesson 7.3: Project: Shipwrecked! Final Project: Designing a Garden Answer Key About the Authors
The Center for Gifted Education at The College of William and Mary, a research and development center, was established in 1988 under the direction of Dr. Joyce VanTassel-Baska. The center provides services to educators, policy makers, graduate students, researchers, parents, and students in support of the needs of gifted and talented individuals. Located in Williamsburg, VA, the center has established a national reputation for excellence in research, curriculum development, and service. Several major grants, including funding from the Jacob K. Javits Gifted and Talented Students Education Act, have provided significant support for the work of the Center.