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  • Cognitively Guided Instruction (CGI) Math TK-6 Teaching & Learning Resources
  • Cognitively Guided Instruction (CGI) Math TK-6 Teaching & Learning Resources 

     

     

     

    Young Children’s Mathematics

     Children's Mathematics: Cognitively Guided Instruction

    Extending Children's Mathematics: Fractions and Decimals

     Thinking Mathematically: Integrating Arithmetics & Algebra

    Math Exchanges: Guiding Young Mathematicians in Small-Group Meetings Making Sense: Teaching and Learning Mathematics with Understanding Becoming the Math Teacher You Wish You'd Had Transforming the Tasks with Number Choice K-3
    Choral Counting & Counting Collections Number Sense Routines Grades 3-5 Intentional Talk Making Number Talks Matter

     

    What Is Cognively Guided Instruction? Blog Post  

     

    What Does a CGI Classroom Look Like? Brief

     

    Getting Started with CGI With Students Haven't Had Experiences with Solving Problems Using Their Own Strategies Blog Post 

     

    NEW ITEMS:

    • NEWLY ADDED: MATH MODELING WITH CULTURAL AND COMMUNITY CONTEXTS (GRADE 3-5 TASKS):

      https://bit.ly/MathModelingContextsTasksGr3-5

     

    • Elementary: UCLA Math Project MATH AT HOME (Counting Collections, Playing Cards at Home, What Do You Notice? Wonder?)

     

    •      Early Childhood (EEC-K): https://sites.google.com/view/cgieec-k/home  

       

    • Linda Levi Blog Post:Doing Math with Your Child-Promoting Problem Solving; Suggestions for Parents and Teachers

     

    CGI Research that Meets What Works Clearing House Criteria (Google Drive Folder)

      

    Table 1: CGI PD Resources

    Cognitively Guided Instruction (CGI) PD

    RESOURCE (Click on Link to Access Resource)

    LAUSD CGI LEADERSHIP PD SERIES VIDEOS

    Leadership Videos

    LAUSD TEACHER INTERVIEWS & CLASSROOM VIDEOS

    Teacher Interviews and Videos

    CHILDREN’S MATHEMATICS: CGI 2ND EDITION BOOK STUDY (LD WEST 2018)

    Book Study Materials

    Collaborative Inquiry Structures to Support CGI Implementation at School Sites (for Math Coaches/Math Leads)

    Collaborative Inquiry Cycle Structures that Support CGI Implementation

    Table 2: Links and Resources to support the implementation of CGI in the classroom

    CGI TOPIC

    RESOURCE

    Long Term Planning of CGI

     

    CGI Unit Planning Templates

    CGI Warmups or Number Sense and Reasoning Routines

    Task Banks and Task Development

    Planning

    Teaching

    Assessing

    Looking at Student Work

    Observation Tools for Continuous Improvement

    Which One Doesn't Belong Teacher Resources

     

    Choral Counting Teaching Resources

     

    Number Talk/Number Talk Images Teaching Resources

     

    Ways to Make a Number Teaching Resources

     

    True False Number Sentences Google Driver Folder

     

    Number Strings Teaching Resources

      

    Problem Solving

    Problem Types

    Problem Types for Operations

     

    Task Bank and Task Development

    Planning with Tasks

    Tasks by CGI Problem Type

    Addition and Subtraction

     

    Multiplication and Division

     

    Fractions: Equal Sharing and Multiple Groups Problems

    Decimal Problems

     

    Multiplicative Concept Problem Sets (NEW ITEM Grades 2-5)

    Intermediate Grade (2-5) Math Journal Prompts (NEW ITEM)

    Curriculum Units for Grade 2-5 from the Project for Elementary Mathematics

    Multi Step Rich Tasks from the Project for Elementary Mathematics

    CGI Word Problem Sets by Grade Level (CGI Math Teacher Learning Center)

     

    Problem Solving Trajectories/Frameworks

    Whole Number Problem Solving Trajectories (synthesized from Children's Mathematics: CGI book)

     

     Equal Sharing and Multiple Group Strategy Frameworks (updated versions of Extending Children's Mathematics: Fractions and Decimals Frameworks)

     

    Planning Templates for CGI Problem Solving

    Posing and Unpacking Problems

    Eliciting Students' Thinking/Conferencing

    Engaging Students with Each Other’s Ideas using a Strategy Share

    CGI Planning and Teaching Guide for Problem Solving

    CGI Problem-Based Planning Template

    Planning Template for Posing and Unpacking Problems 

    Planning Templates for Strategy Share 

    Numberless Word Problems Blog Post and Resources

    Adapting Textbook Lessons to Meet Students' Needs (NEW ITEM)

    *Assessing

     

    * Any problem on any day can be used as a formative assessment to elicit and use evidence of student thinking

     

    From Project for Elementary Mathematics

    K-1 Developmental Interview Assessment Materials

    Early Base Ten Assessment Materials (Later First Grade to Early Second Grade)

    Base Ten Assessment Materials (2nd Grade and Emergent Third Grade)

    Assessing Multiplicative Thinking (For each of Grades 3 through 5)

    CGI Diagnostic Assessments K-5

    Listening to children's thinking assessment overview

    CGI Diagnostics Assessment Resources for Fall and Spring

    CGI Informal Assessments of Math Understanding (from CGI Math TLC) NEW ITEM

    CGI Number Fact Strategy Assessments

    Assessments and Data Collection

    Looking at Student Work

    Sorting student work tools

    CGI problem strategy trajectories (frameworks)

    Student work analysis tools and protocols

    Math conferencing tools and forms

    Counting Collections

    Tasks and Task Development

    Planning

    Teaching

    Assessing

    Counting Collections Resources

     

    Games

    Card Games at Home (UCLA Math Project: Math at Home) 

    Getting Started in Setting Up the CGI Math Learning Environment and CGI Math Tool Kits

     

    Getting Started Resources

    Developing Studnets' Mathematical Mindsets and Academic Conversations Blog Post NEW ITEM

    CGI Math Toolkits 

    Additional Resources

    CGI WORTHY PROBLEM SOLVING TASKS WEBSITES:

    NEWLY ADDED: MATH MODELING WITH CULTURAL AND COMMUNITY CONTEXTS (GRADE 3-5 TASKS):

    https://bit.ly/MathModelingContextsTasksGr3-5 

    Illustrative Mathematics (K-5 Problem-Based Tasks):

     https://www.illustrativemathematics.org/content-standards 

    NC Department of Public Instruction Elementary Math K-2 (CGI Worthy Problem-Based Tasks):

    http://tools4ncteachers.com/

    NC Department of Public Instruction Elementary Math 3-5 (CGI Worthy Problem-Based Tasks):

    http://tools4ncteachers.com/

    NEWLY ADDED: MATH MODELING WITH THREE ACT TASKS FROM GRAHAM FLETCHER AND OTHERS:

    https://gfletchy.com/3-act-lessons/

     

    OTHER CGI WEBSITES

    UCLA Center X Math Project:

    Early Childhood (EEC-K): https://centerx.gseis.ucla.edu/math-project/early-childhood/

    Elementary: https://centerx.gseis.ucla.edu/math-project/elementary/

     

     DREME (Development and Research in Early Math Education):

    https://dreme.stanford.edu/

      

    CGI Math Teacher Learning Center:

    https://www.cgimath-tlc.org/

     

    Project for Elementary Mathematics:

    https://www.projectmath.net/ 

     

    Teaching Is Problem Solving:

          https://teachingisproblemsolving.org/

    Transforming the Task with Number Choice & Contexts That Connect to the Lives and Experiences of Your Children     

    http://bit.ly/TransformingTaskwNumberChoice

     

    CGI Problem Solving Task Form Templates

     

    CGI RELATED ARTICLES for Professional Learning Communities (PLCs):

    Articles by Math Leaders about the Issues of Teaching Standard Algorithms

    Teaching Standard Algorithms Articles

    Basic Background for CGI Teachers

     CGI and Related Topic Articles 

    Article about Teacher's Role in CGI Classroom

    Teacher's Role in CGI Classroom 

    What's Next Collaborative Inquiry Stories of CGI Teachers (Suggested for Reading and Discussion in Teacher Team PLCs)

    Fact Fluency,  Multi-digit Word Problems, Place Value Concepts, & Fractions 

    NUMBER SENSE & REASONING ROUTINE WEBSITES

    Number Strings: A Community for Number String Design: https://numberstrings.com/

     

    Which One Does Not Belong: http://wodb.ca/

     

    Number Talk Images: http://ntimages.weebly.com/

     

    Visual Patterns: https://buildingmathematicians.wordpress.com/visual-patterns/

     

    Berkeley Everett Math Visuals:https://mathvisuals.wordpress.com/ & 5 Weeks of Number Sense Routines

     

    Math Learning Center: Math at Home (Which One Doesn’t Belong, How Many?, Today’s Number, Same Different): https://mathathome.mathlearningcenter.org/search

     

    Splat! for Elementary Teachers NEW ITEM:

    Steve Wyborney Site: https://stevewyborney.com/2018/09/splat-for-google-slides-40-lessons/

    Organized Splat Resources Curated by Jamie Garner: https://docs.google.com/document/d/1q_8j1rILDWxBeRrpef95D9fbj2h_np1-sGsHKI-PQLU/mobilebasic

     

    Choral Counting: Creative Math Choral Counting Planner & Choral Counting Tool  (You need to create an account to access. Once you see a description of the tool click on BEGIN CHORAL COUNTING to use the tool)

     Teacher Education by Design (TEDD.org): CGI Math Warmups (Mental Math (Number Talks), Number Strings, True-False Sentences, Quick Images, Choral Counting, Counting Collection): TEDD.org: Elementary Math

     

     

     

     
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