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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: FORUM FOR EQUITY IN ELEMENTARY MATHEMATICS
https://www.terc.edu/mathequityforum/
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NEWLY ADDED: MATH MODELING WITH CULTURAL AND COMMUNITY CONTEXTS (GRADE 3-5 TASKS):
- 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
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
LAUSD TEACHER INTERVIEWS & CLASSROOM VIDEOS
CHILDREN’S MATHEMATICS: CGI 2ND EDITION BOOK STUDY (LD WEST 2018)
Other CGI and Related Book Study Outlines
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 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
Task Bank and Task Development
Planning with Tasks
Tasks by CGI Problem Type
Fractions: Equal Sharing and Multiple Groups 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)
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 ShareNumberless 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
Looking at Student Work
CGI problem strategy trajectories (frameworks)
Counting Collections
Tasks and Task Development
Planning
Teaching
Assessing
Counting Collections Resources
Games
Getting Started in Setting Up the CGI Math Learning Environment and CGI Math Tool Kits
Developing Students' Mathematical Mindsets and Academic Conversations Blog Post NEW ITEM
Additional Resources
CGI WORTHY PROBLEM SOLVING TASKS WEBSITES:
NEWLY ADDED: MATH MODELING WITH CULTURAL AND COMMUNITY CONTEXTS (GRADE 3-5 TASKS):
https://bit.ly/ElementaryMathModelingTasks
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):
NC Department of Public Instruction Elementary Math 3-5 (CGI Worthy Problem-Based Tasks):
Math Modeling with Three Act Tasks:
https://gfletchy.com/3-act-lessons/
NEWLY ADDED: Institute for Learning Tasks (IFL) created for Common Core Math Standards:
https://www.edutoolbox.org/tntools/menu/grade/819/6128
NEWLY ADDED: K-8 Math Milestones by Student Achievement Partners:
https://www.mathmilestones.org/ & https://bit.ly/SAPMathMilestones (easy access by grade level)
Performance Task Bank from Various Sources: https://bit.ly/PerformanceTaskBank
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/
San Diego State CGI PD Collaborative:
UC San Diego Math Project:
Teaching Rational Numbers Program: https://mathproject.ucsd.edu/programs/events/
DREME (Development and Research in Early Math Education):
CGI Math Teacher Learning Center:
Project for Elementary Mathematics:
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/
Same or Different: https://samedifferentimages.wordpress.com/
Which One Does Not Belong: http://wodb.ca/
Number Talk Images: http://ntimages.weebly.com/ & https://kristenacosta.com/number-talk-images/
Would You Rather?: https://www.wouldyourathermath.com/
Visual Patterns: https://buildingmathematicians.wordpress.com/visual-patterns/
Berkeley Everett Math Visuals & Number Sense Routines:https://mathvisuals.wordpress.com/ & Number Sense Routine Resources
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:
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: ChatGPT Example Thread for Creating Choral Count Grids
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
MATH DISCOURSE AND MATH ARGUMENTATION WEBSITES
Forum for Equity in Elementary Mathematics: Site provides a Framework for Reflecting on Equity in the Elementary Mathematics Classroom, Tools for Teacher Reflection, Tools for Student Reflection, and Professional Development Opportunities
