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Precursor Math Concepts: The Wonder of Mathematical Worlds with Infants and Toddlers [Kõva köide]

  • Formaat: Hardback, 112 pages, kõrgus x laius x paksus: 281x215x13 mm, kaal: 333 g
  • Ilmumisaeg: 26-Nov-2021
  • Kirjastus: Teachers' College Press
  • ISBN-10: 0807766127
  • ISBN-13: 9780807766125
  • Formaat: Hardback, 112 pages, kõrgus x laius x paksus: 281x215x13 mm, kaal: 333 g
  • Ilmumisaeg: 26-Nov-2021
  • Kirjastus: Teachers' College Press
  • ISBN-10: 0807766127
  • ISBN-13: 9780807766125

This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts—attribute, comparison, change, and pattern—with an emphasis on how development occurs when it is nurtured by loving, knowledgeable others. The authors call this the CAIR principle: Closely Attend & Intentionally Respond. Sharing their stories of working with a wide range of zero to three caregivers and educators, the authors stress the difference between arithmetic skills and their definition of mathematics as “a logical way of thinking that allows for increasing precision.” Each user-friendly chapter includes suggestions for highly effective practices that are embedded into everyday interactions and routines. Early care providers can use this resource to develop young children’s interest in mathematics, ensuring that they are ready for the big ideas they will encounter in preschool.

Book Features:

  • Provides two sections per chapter citing the most current research on infant and toddler cognitive development in relation to mathematical thinking.
  • Offers concrete ways to help caregivers and professionals draw out the math that is all around us.
  • Blends three domains of human development—social-emotional, physical, and cognitive.
  • Examines the What, Who, and How of each precursor concept, with authentic anecdotes and “What the Research Says” sections.
  • Offers a reader-friendly design that includes highlight boxes of authentic anecdotes, photos of infants and toddlers, recommendations for activities and books that support development of each precursor math concept, and reflective practice discussion points at the end of each chapter.
Preface v
Acknowledgments vii
1 The WHAT, WHO, and HOW of Mathematical Worlds of Infants and Toddlers
1(14)
What: Understanding the Concept and Practice of Precursor Mathematics
2(3)
What the Research Says: The Brain Develops Significantly in the First Three Years
5(2)
Who: Infants and Toddlers and Their Conceptual Development
7(1)
What the Research Says: The Critical Role of Nurturing
8(3)
How: Closely Attend and Intentionally Respond---The CAIR Principle
11(3)
Looking Back to Look Forward
14(1)
2 The Precursor Math Concept of Attribute
15(15)
What: Where's the Math in Attribute?
15(3)
What the Research Says: Categories of Attribute
18(1)
Who: Infants and Toddlers Developing Understanding of Attribute
19(2)
What the Research Says: Sensory Perceptions and Social-Emotional Responses
21(1)
How: Using CAIR to Develop Understanding of the PMC of Attribute
22(5)
Looking Back to Look Forward
27(1)
Your Turn: Reflective Practice Review
28(2)
3 The Precursor Math Concept of Comparison
30(16)
What: Where's the Math in Comparison?
30(3)
What the Research Says: Infants and Toddlers Are Born Mathematicians/Statisticians
33(1)
Who: Infants and Toddlers Developing Understanding of Comparison
34(3)
What the Research Says: Object Terms and Relational Terms
37(1)
How: Using CAIR to Develop Understanding of the PMC of Comparison
38(6)
Looking Back to Look Forward
44(1)
Your Turn: Reflective Practice Review
44(2)
4 The Precursor Math Concept of Change
46(16)
What: Where's the Math in Change?
46(4)
What the Research Says: Spatial Sense Is Where Math Begins
50(2)
Who: Infants and Toddlers Developing Understanding of Change
52(2)
What the Research Says: It's Not Surprising That Change Triggers Thinking
54(1)
How: Using CAIR to Develop Understanding of the PMC of Change
55(4)
Looking Back to Look Forward
59(1)
Your Turn: Reflective Practice Review
60(2)
5 The Precursor Math Concept of Pattern
62(16)
What: Where's the Math in Pattern?
62(4)
What the Research Says: Where Is the Pattern in the Number World?
66(2)
Who: Infants and Toddlers Developing Understanding of Pattern
68(3)
What the Research Says: Where's the Math in Music?
71(1)
How: Using CAIR to Develop Understanding of the PMC of Pattern
72(3)
Looking Back to Look Forward
75(1)
Your Turn: Reflective Practice Review
76(2)
6 Bringing It All Together
78(22)
Bringing Together the Four Precursor Math Concepts---the WHAT
79(3)
Bringing Together Who and HOW
82(5)
Bringing Together the WHAT, Who, and HOW of Mathematical Thinking in Early Childhood
87(3)
Your Turn: Bringing It All Together
90(3)
References
93(7)
Index 100(4)
About the Authors 104
Mary Hynes-Berry is a bestselling author, professional developer, consultant, and a faculty member at Erikson Institute for Early Childhood. Jie-Qi Chen is a professor of early education at the Erikson Institute in Chicago and founder of the Institutes Early Math Collaborative. Barbara Abel is an experienced early childhood leader and clinical lecturer at the University of Illinois Chicago.