The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped to reflect on their teaching, renew their thinking, and change parts of their practice in order to transform their classroom culture into one where both students and teachers are attuned to algebraic thinking, reasoning, talking, writing, and doing.
- Exploration I. Addition: Beyond just Memorizing Addition Facts
- Chapter 1: Making 7—The Lesson (Grades PreK–K)
- Chapter 2: Behind Making 7—Algebra Connections
- Chapter 3: Beyond Making 7—More Problems to Explore
- Exploration II. Subtraction: More than just “Take Away”
- Chapter 4: Sticker Stickler—The Lesson (Grades 1–2)
- Chapter 5: Behind Sticker Stickler—Algebra Connections
- Chapter 6: Beyond Sticker Stickler—More Problems to Explore
- Exploration III. Patterns and Functions: What's the Connection?
- Chapter 7: Patterns of Cubes—The Lesson (Grade 2)
- Chapter 8: Behind Patterns of Cubes—Algebra Connections
- Chapter 9: Beyond Patterns of Cubes—More Problems to Explore
- Exploration IV. Odd and Even Numbers: Beyond the Last-Digit Rule
- Chapter 10: Double Deckers—A Math-Night Presentation (Grades K–1)
- Chapter 11: Final Thoughts