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 2^ND EDITION BOOK STUDY (LD WEST 2018)	Book Study Materials

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)

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

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://www.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

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