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

Autor Monica M. Neagoy
en Limba Engleză Paperback – 11 sep 2012
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.
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Specificații

ISBN-13: 9781412996600
ISBN-10: 1412996600
Pagini: 208
Dimensiuni: 216 x 279 x 10 mm
Greutate: 0.44 kg
Ediția:New.
Editura: SAGE Publications
Colecția Corwin
Locul publicării:Thousand Oaks, United States

Recenzii

"This is a must-have resource for any early childhood mathematics teacher. Monica Neagoy plants the seeds of algebraic understanding through her story-like explorations involving patterns, operations with whole numbers, and so much more. The responses from children and teachers not only shape the importance of the book, but frame a presentation style that gives teachers a sense of 'I can do this!'"
“This book is an excellent resource for a lesson-study group looking to deepen both their own knowledge of the interconnectedness of mathematics from the primary grades on up, and how to build a truly rich mathematical foundation for their students from the start.”
“The Common Core Standards call for all students to be competent in algebra. Algebraic concepts must be introduced in the primary grades to reach this goal. This book will deepen educators' understanding of algebra and shows how to set a firm foundation for students’ future study.”
“This book is original, informative and engaging. The author does a great job of helping teachers understand how to further students’ mathematical thinking to gain a certain flexibility and confidence. She also supports teachers by providing the necessary mathematical background for seeing the bigger picture of their students’ math learning and thinking."
“This book inspired me to rethink the way I approach math with my second graders. Monica Neagoy encourages teachers to allow children to arrive at answers through guided exploration and conceptual thinking. This approach makes math more enjoyable for teachers and students.”
"Monica Neagoy displays amazing math expertise and teaching prowess. Her enthusiasm for guiding teachers to expand their understanding of algebra is contagious. I have a deeper understanding of the expansive process I want to explore with young children. Through this book, she definitely takes us on a stimulating mathematical journey."
"In clear and easy-to-follow language, Monica Neagoy shows how what teachers do at the elementary level fits into the big picture of students' success in higher math. This will be the go-to book for primary teachers who see the value of developing algebraic thinking in their students."
"Given the place and nature of Algebra in the mathematics curriculum—late, isolated, and technical—it is a very worthwhile effort to show that algebraic ideas can be introduced earlier, focus more on reasoning and problem solving, and stress the connections to all aspects of mathematics. This book is thought provoking and sets the direction for 21st century competencies."
"Monica’s Pre-K through 2 journeys will inspire every lover of learning and foster a passion for mathematical thinking!"
"Planting the Seeds of Algebra, PreK–2 offers wonderful explorations coupled with specific details that will support teachers as they strive to spark and nurture children’s love of mathematics. Dr. Monica Neagoy honors young students’ ways of understanding mathematical ideas while looking for avenues to help move them forward in their reasoning."
"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."
"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."
"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."

Cuprins

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

Notă biografică


Descriere

The author provides in-depth math explorations, strategies, grade-banded lessons, and step-by-step guidance for building a strong foundation in algebra for very young children.