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, Pre K–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.
Tabla de materias
Foreword by Jennifer Bay-Williams
Acknowledgments
About the Author
Introduction
Exploration I. Addition: Beyond Just Memorizing Addition Facts
1. Making 7 – The Lesson (Grades Pre K-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
Sobre el autor
Monica Neagoy, international consultant and popular keynote speaker, has a passion for mathematics. The facets of her 25-year mathematics career include teacher professional development, math specialist training, national/international conference speeches, live television courses, video creation and hosting, and live shows including her popular Math Magic show. Whether here or abroad, whether speaking English, French, or Spanish, Monica’s life-long goal is to infuse people with a fascination for the wonder of mathematics. Dr. Neagoy began her career teaching mathematics at Georgetown University. Later, she was a program director at the National Science Foundation (NSF), where she oversaw national projects. As an independent national mathematics consultant, she has served numerous school districts across the country and notable organizations including the Carnegie Institution of Washington, PBS Teacher Line, MATHCOUNTS, and the American Association for the Advancement of Science. Since 2005, she broadened her mathematics consulting to serve Europe, the Middle East, and Africa, in addition to the United States. Dr. Neagoy has had a parallel career in theatre as actor, choreographer, and stage-director, particularly with the professional LE NEON Theatre in the Washington, D.C. area. Her exposure to many cultures, mastery of several languages, double career in the arts and the sciences, and mindfulness training through yoga practice and teaching provide her with a unique perspective on the learning and teaching of mathematics. Her passions for mathematics and the arts converge in her popular presentation, ‘The Mathematics of Beauty and the Beauty of Mathematics.’ Dr. Neagoy combined her love for the arts and the sciences in the creation of innovative mathematics videos series for teachers and students, including Discovering Algebra with Graphing Calculators (Discovery Education), Algebra Nspirations (Media4Math), and Video #7 of Mathematics: What′s the Big Idea? titled “Algebra: It Begins in Kindergarten” (Annenberg Learner). Monica was educated in the French school system, grades 1–12, in Asia and the United States. She has a BS in mathematics and philosophy from Georgetown University, an MA in pure mathematics from Catholic University, and a Ph D in mathematics education from the University of Maryland.