Teaching Young Children Mathematics

✍ Scribed by Janice Minetola, Robert Ziegenfuss, J. Kent Chrisman

• Publisher: Routledge
• Year: 2013
• Tongue: English
• Leaves: 271
• Category: Library

✦ Synopsis

Teaching Young Children Mathematics provides a comprehensive overview of mathematics instruction in the early childhood classroom. Taking into account family differences, language barriers, and the presence of special needs students in many classrooms throughout the U.S., this textbook situates best practices for mathematics instruction within the larger frameworks of federal and state standards as well as contemporary understandings of child development.

Key topics covered include: developmental information of conceptual understanding in mathematics from birth through 3rd grade, use of national and state standards in math, including the new Common Core State Standards, information for adapting ideas to meet special needs and English Language Learners, literacy connections in each chapter, ‘real-world’ connections to the content, and information for family connections to the content.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Table of Contents
List of Figures
List of Tables
Chapter 1. Nurturing Young Children’s Mathematical Development
How Do Young Children Learn Mathematics?
Theories Vs. Assumptions
Cognitive or Intellectual Development
Inquiry-Based Learning
Socio-Constructivism
Developmentally Appropriate Practice (DAP)
Developmentally Appropriate Practices in Mathematics
General Characteristics of Children Birth to Age Three
Mathematics Concept Development from Birth to Age Three
General Characteristics of Four- and Five-Year-Old Children
General Characteristics of Six-, Seven-, and Eight-Year-Old Children
Mathematics Learning in the Primary Grades
Home/School/Community Connection
Implications for Teaching Mathematics to Build Connections
Creating a Classroom Focused on Diversity
Children with Special Needs
Implications for Teaching Mathematics to Children with Special Needs
Mathematically Promising Children
Implications for Teaching Mathematics
English Language Learners (ELL)
Implications for Teaching Mathematics to English Language Learners
Learning Styles and Multiple Intelligences
Implications for Teaching Mathematics
Integrating the Curriculum
Children’s Literature
Vocabulary Development
Learning Centers
Additional Resources
References
Chapter 2. Mathematics Curricula for Young Children, Standards, and Assessment
The Components of Effective Math Curricula in Early Childhood Programs
Another Type of Curriculum
Other Curricular Information
Technology and Curriculum for Young Children
Approaches to Learning
Professional Standards from the National Council of Teachers of Mathematics (NCTM) and the Common Core State Standards Initiative
National Council of Teachers of Mathematics Process Standards
Assessment of Children’s Learning
Assessing Prekindergarten and Kindergarten Children’s Development and Learning
Assessing Children’s Development and Learning in the Primary Grades
References
Chapter 3. Numbers and Operations
Chapter Outcomes
Overview of Concept Development
Building Concepts of Numbers and Operations at the Prekindergarten Level
Content Standards for Prekindergarten
Prekindergarten Outcomes
Content Standards for Kindergarten
Kindergarten Outcomes
Content Standards for Grade 1
Grade 1 Outcomes
Content Standards for Grade 2
Grade 2 Outcomes
Content Standards for Grade 3
Grade 3 Outcomes
Adaptations for Children with Special Needs
Adaptations for Mathematically Promising Children
Adaptations for English Language Learners (ELL)
Home/school Connection Ideas and Activities
Curriculum Integration
Numbers and Operations Content Vocabulary
Literature Connections
Assessing Chapter Outcomes
Chapter Extension Activities
References
Chapter 4. Patterns, Functions, and Algebraic Thinking
Chapter Outcomes
Overview of Concept Development
Building Concepts of Pattern, Function, and Algebra at the Prekindergarten Level
Content Standards for Prekindergarten
Prekindergarten Outcomes
Content Standards for Kindergarten
Kindergarten Outcomes
Content Standards for Grade 1
Grade 1 Outcomes
Content Standards for Grade 2
Grade 2 Outcomes
Content Standards for Grade 3
Grade 3 Outcomes
Adaptations for Children with Special Needs
Adaptations for Mathematically Promising Children
Adaptations for English Language Learners (ELL)
Home/school Connection Ideas and Activities
Curriculum Integration
Patterns, Functions, and Algebra Content Vocabulary
Literature Connections
Assessing Chapter Outcomes
Chapter Extension Activities
References
Chapter 5. Geometry
Chapter Outcomes
Overview of Concept Development
Building Concepts of Geometry at the Prekindergarten Level
Content Standards for Prekindergarten
Prekindergarten Outcomes
Content Standards for Kindergarten
Kindergarten Outcomes
Content Standards for Grade 1
Grade 1 Outcomes
Content Standards for Grade 2
Grade 2 Outcomes
Content Standards for Grade 3
Grade 3 Outcomes
Adaptations for Children with Special Needs
Adaptations for Mathematically Promising Children
Adaptations For English Language Learners (ELL)
Home/school Connection Ideas and Activities
Curriculum Integration
Geometry Content Vocabulary
Literature Connections
Assessing Chapter Outcomes
Chapter Extension Activities
References
Chapter 6. Measurement
Chapter Outcomes
Overview of Concept Development
Building Concepts of Measurement at the Prekindergarten Level
Content Standards for Prekindergarten
Prekindergarten Outcomes
Content Standards for Kindergarten
Kindergarten Outcomes
Content Standards for Grade 1
Grade 1 Outcomes
Content Standards for Grade 2
Grade 2 Outcomes
Content Standards for Grade 3
Grade 3 Outcomes
Adaptations for Children with Special Needs
Adaptations for Mathematically Promising Children
Adaptation For English Language Learners (ELL)
Home/school Connection Ideas and Activities
Curriculum Integration
Measurement Content Vocabulary
Literature Connections
Assessing Chapter Outcomes
Chapter Extension Activities
References
Chapter 7. Data Analysis and Probability
Chapter Outcomes
Overview of Concept Development
Building Concepts of Data Analysis and Probability at the Prekindergarten Level
Content Standards for Prekindergarten
Prekindergarten Outcomes
Content Standards for Kindergarten
Kindergarten Outcomes
Content Standards for Grade 1
Grade 1 Outcomes
Content Standards for Grade 2
Grade 2 Outcomes
Content Standards for Grade 3
Grade 3 Outcomes
Adaptations for Children with Special Needs
Adaptations for Mathematically Promising Children
Adaptations for English Language Learners (ELL)
Home/school Connection Ideas and Activities
Curriculum Integration
Data Analysis and Probability Content Vocabulary
Literature Connections
Assessing Chapter Outcomes
Chapter Extension Activities
References
Index