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Table of Contents
Preface; Contents; Introduction; 1 Engaging Families as the First Mathematics Educators of Children; Abstract; Introduction; Recognition of Early Years Development; Context and Aim of This Book; Contributions in This Book; Conclusion; References; Key Foci and Pedagogical Actions That Support Young Children's Mathematics Learning; 2 Describing the Mathematical Intentions of Early Learning Childhood Experiences; Abstract; Introduction: The Purpose of Defining Mathematics Learning Goals; The Process and Data Used to Define the Learning Goals; Analysis and Synthesis of Particular Content Domains.
MeasurementTime; Numbers; Shape; Location (Visualising); Patterns; Summary; References; 3 Mathematics with Infants and Toddlers; Abstract; Introduction; Setting the Context; Families as the First Educators of Young Children; How Do Families Help with Mathematical Development at Home?; Communication Between Adult and Child; Assisting with Number Learning; Assisting with Measurement; Assisting with Patterns; Providing Play Opportunities Inside and Outside at Home; Pedagogical Approaches; Variation Theory; The Montessori Approach; Conclusion; References.
4 Enumeration: Counting Difficulties Are Not Always Related to NumbersAbstract; What Is and What Is not Enumeration?; Comparing One to One Correspondence and Enumeration; Didactical Engineering and Task Design; Enumeration as a Knowledge in Situation; Enumeration of Fixed Objects; Description of the Game of Hidden Objects; Results of Experimentation; Role of Teachers or Educators; Enumeration of Mobile Objects; Description of the Game of Marked Counters; Analysis of an Observation; Role of Teachers and Educators; Social and School Situations Similar to the Marked Counters Game; Conclusion.
Spiros and Alissa Play 'Concentration'Numeral Identification: Some Research; Sandi and Her Tablet; Ordinal Number: Some Research; Elouise Plays 'Snakes and Ladders'; Addition: Some Research; Jules Takes Away; Subtraction: Some Research; Building a Police Van; Multiplication: Some Research; Anne and Ruby Share; Partitioning and Sharing: Some Research; Peter and Infinity; Abstraction: Some Research; Conclusion; References; Home Interactions and Learning Experiences That Support Early Mathematical Learning.
MeasurementTime; Numbers; Shape; Location (Visualising); Patterns; Summary; References; 3 Mathematics with Infants and Toddlers; Abstract; Introduction; Setting the Context; Families as the First Educators of Young Children; How Do Families Help with Mathematical Development at Home?; Communication Between Adult and Child; Assisting with Number Learning; Assisting with Measurement; Assisting with Patterns; Providing Play Opportunities Inside and Outside at Home; Pedagogical Approaches; Variation Theory; The Montessori Approach; Conclusion; References.
4 Enumeration: Counting Difficulties Are Not Always Related to NumbersAbstract; What Is and What Is not Enumeration?; Comparing One to One Correspondence and Enumeration; Didactical Engineering and Task Design; Enumeration as a Knowledge in Situation; Enumeration of Fixed Objects; Description of the Game of Hidden Objects; Results of Experimentation; Role of Teachers or Educators; Enumeration of Mobile Objects; Description of the Game of Marked Counters; Analysis of an Observation; Role of Teachers and Educators; Social and School Situations Similar to the Marked Counters Game; Conclusion.
Spiros and Alissa Play 'Concentration'Numeral Identification: Some Research; Sandi and Her Tablet; Ordinal Number: Some Research; Elouise Plays 'Snakes and Ladders'; Addition: Some Research; Jules Takes Away; Subtraction: Some Research; Building a Police Van; Multiplication: Some Research; Anne and Ruby Share; Partitioning and Sharing: Some Research; Peter and Infinity; Abstraction: Some Research; Conclusion; References; Home Interactions and Learning Experiences That Support Early Mathematical Learning.