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Planting the Seeds of Algebra, PreK–2
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Planting the Seeds of Algebra, PreK–2
Explorations for the Early Grades

Foreword by Jennifer Bay Williams



April 2012 | 208 pages | Corwin

Help young minds explore algebraic concepts

Algebra is the gateway to higher education, and preparing students to grasp algebraic concepts increases their opportunities to succeed. This book shows teachers how to create a strong foundation in algebra for very young children. Using in-depth math "explorations," the author unpacks—step by step—the hidden connections to higher algebra. Each exploration contains an elegantly simple grade-banded lesson (on addition, subtraction, patterns, and odd and even numbers), followed by a discussion of the algebra connections in the lesson, as well as suggestions for additional problems to explore. Throughout, readers will find:

  • Clear explanations of algebraic connections
  • Specific strategies for teaching the key ideas of algebra
  • Lesson modifications for older or younger students
  • An array of age-appropriate problems, games, and lessons

 Planting the seeds of Algebra, PreK–2 helps teachers foster mathematical habits of mind in students such as critical thinking, problem solving, adaptability, agility, communication, curiosity, and imagination. Growth in these ways of thinking and doing will transfer to other areas of education and life—raising the bar and challenging students to aspire.


 
Foreword by Jennifer Bay-Williams
 
Acknowledgments
 
About the Author
 
Introduction
 
Exploration I. Addition: Beyond Just Memorizing Addition Facts
 
1. Making 7 - The Lesson (Grades PreK-K)
 
2. Behind Making 7 - Algebra Connections
 
3. Beyond Making 7 - More Problems to Explore
 
Exploration II. Subtraction: More Than Just "Take Away"
 
4. Sticker Stickler - The Lesson (Grades 1-2)
 
5. Behind Sticker Stickler - Algebra Connections
 
6. Beyond Sticker Stickler - More Problems to Explore
 
Exploration III. Patterns and Functions: What's the Connection?
 
7. Patterns of Cubes - The Lesson (Grade 2)
 
8. Behind Patterns of Cubes - Algebra Connections
 
9. Beyond Patterns of Cubes - More Problems to Explore
 
Exploration IV. Odd and Even Numbers: Beyond the Last-Digit Rule
 
10. Double Deckers - A Math-Night Presentation
 
11. Final Thoughts
 
References
 
Index

"This delightful book makes it easy for even the most intimidated and mathematically challenged teachers to nurture algebraic thinking in our young children and explains convincingly why it is so important that we do so. Monica’s intimate, entertaining, informative, and inspiring accounts of her interactions with budding math students model for us precisely what we can say and do to keep our children off the computation treadmill and join them on the footpath of exploration and discovery in the quest for deeper understanding and true math fitness."

Heather Gholson, Home educator
Pass Christian, MS

"Dr. Neagoy illustrates through her examples in the classroom how algebra can be achieved by ALL when algebraic thinking is developed in the very early years. Through a variety of strategies and activities, young students construct understanding of rather complex mathematical concepts which will make the transition to a more formal course in algebra almost seamless."

Leona Penner, Mathematics Teacher
Lincoln East High School and Lux Middle School, Lincoln, NE

"Monica Neagoy provides in-depth stratagies and grade-specific approaches for building a foundation of math skills in the early grades, and is a 'must' pick for any early childhood math teacher."

Midwest Book Review, September 2012
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Key features
  • Through the examination of four explorations, Planting the Seeds of Algebra, provides details for how algebraic thinking can be effectively incorporated into the teaching and learning of PreK-2 mathematics. Key ideas of algebra are weaved into these explorations, such as the difference and connection between variable and unknown, equality and equivalence; expressions and equations. Also, the relationship between patterns and functions, functions and algebra, and consequently patterns and algebra will be clarified.
  • Each chapter offers profound discussions on topics such as number properties, basic facts, computation, patterns, functions, math games, and so on, all of which are of direct concern to early elementary school teachers.
  • Each chapter contains a section that revisits the different stages of the lesson and discussion, bringing to light the connections to algebra that teachers are sometimes unaware of. The purpose of this section is therefore to guide teachers to become mindful of the rich potential of laying a solid algebra foundation through the mathematics they already teach every day.


 

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ISBN: 9781452283630

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