Cognitively Guided Instruction (CGI)
Cognitively Guided Instruction (CGI)
Math TK-6 Teaching & Learning Resources
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| Young Children's Mathematics | Children's Mathematics: Cognitively Guided Instruction | Extending Children's Mathematics: Fractions and Decimals | Thinking Mathematically: Integrating Arithmetics & Algebra |
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| Math Exchanges: Guiding Young Mathematicians in Small-Group Meetings | Making Sense: Teaching and Learning Mathematics with Understandings | 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 |
NEW ITEMS:
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NEWLY ADDED: MATH MODELING WITH CULTURAL AND COMMUNITY CONTEXTS (GRADE 3-5 TASKS): https://bit.ly/MathModelingContextsTasksGr3-5
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Elementary: UCLA Math Project MATH AT HOME (Counting Collections, Playing Cards at Home, What Do You Notice? Wonder?)
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Early Childhood (EEC-K): https://sites.google.com/view/cgieec-k/home
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
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Long Term Planning of GCI
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| 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
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| Problem Solving |
Problem Types
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Task Bank and Task Development
Planning with Tasks
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Tasks by CGI Problem Type
Multi Step Rich Tasks from the Project for Elementary Mathematics
CGI Word Problem Sets by Grade Level (CGI Math Teacher Learning Center)
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| Problem Solving Trajectories/Frameworks |
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Planning Templates for CGI Problem Solving
Posing and Unpacking
ProblemsEliciting Students' Thinking/Conferencing
Engaging Students with Each Other’s Ideas using a Strategy Share
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*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
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
CGI Number Fact Strategy Assessments
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| Looking at Student Work |
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| Counting Collections |
Tasks and Task Development
Planning
Teaching
Assessing
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Counting Collections Resources |
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Games
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| Getting Started in Setting Up the CGI Math Learning Environment and CGI Math Tool Kits |
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| 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):
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):
NEWLY ADDED: MATH MODELING WITH THREE ACT TASKS FROM GRAHAM FLETCHER AND OTHERS:
OTHER CGI WEBSITESUCLA Center X Math Project:
Early Childhood (EEC-K): https://centerx.gseis.ucla.edu/math-project/early-childhood/
DREME (Development and Research in Early Math Education):
CGI Math Teacher Learning Center:
Project for Elementary Mathematics:
Teaching Is Problem Solving:
Transforming the Task with Number Choice & Contexts That Connect to the Lives and Experiences of Your Children
CGI RELATED ARTICLES for Professional Learning Communities (PLCs):Articles by Math Leaders about the Issues of Teaching Standard Algorithms
Basic Background for CGI Teachers
NUMBER SENSE & REASONING ROUTINE WEBSITESNumber 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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UPCOMING CGI TRAININGS
- Linda Levi Blog Post: Doing Math with Your Child-Promoting Problem Solving; Suggestions for Parents and Teachers
What Does a CGI Classroom Look Like? Brief