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      Second largest in the nation, the Los Angeles Unified School District enrolls more than 429,000 students in transitional kindergarten through 12th grade. The District covers 710 square miles and includes Los Angeles as well as all or parts of 25 smaller municipalities plus several unincorporated sections of Los Angeles County.

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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: FORUM FOR EQUITY IN ELEMENTARY MATHEMATICS

                      https://www.terc.edu/mathequityforum/

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

          https://bit.ly/ElementaryMathModelingTasks

         

        • 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

        Other CGI and Related Book Study Outlines

        Book Study Sample 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 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 Students' 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/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):

        http://tools4ncteachers.com/

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

        http://tools4ncteachers.com/

        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:

        https://crmse.sdsu.edu/pdc

         

        UC San Diego Math Project:

        Teaching Rational Numbers Program: https://mathproject.ucsd.edu/programs/events/

         

         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 

        Resources for Deepening Understanding of the Math We Teach

        MKT and Math Content Knowledge Articles, Resources

        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

        https://www.terc.edu/mathequityforum/

         

         

         
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