To view the documents available in the Investigations Library click on one of the categories below or browse all document titles by scrolling down the page.
Select a Category:Curriculum by Grade Level
Grade Level Overviews
- Kindergarten Overview PDF
- 1st Grade Overview PDF
- 2n Grade Overview PDF
- 3rd Grade Overview PDF
- 4th Grade Overview PDF
- 5th Grade Overview PDF
Math Content by Grade Level
- Kindergarten Math Content PDF
- Grade 1 Math Content PDF
- Grade 2 Math Content PDF
- Grade 3 Math Content PDF
- Grade 4 Math Content PDF
- Grade 5 Math Content PDF
- Math Content K-5 PDF
Unit Summaries
- Kindergarten Unit Summaries PDF
- Grade 1 Unit Summaries PDF
- Grade 2 Unit Summaries PDF
- Grade 3 Unit Summaries PDF
- Grade 4 Unit Summaries PDF
- Grade 5 Unit Summaries PDF
- Unit Summaries K-5 PDF
1st Edition Unit Summaries
- 1st Edition Unit Summaries Overview
- 1st Edition Kindergarten Unit Summaries
- 1st Edition 1st Grade Unit Summaries
- 1st Edition 2nd Grade Unit Summaries
- 1st Edition 3rd Grade Unit Summaries
- 1st Edition 4th Grade Unit Summaries
- 1st Edition 5th Grade Unit Summaries
Scope and Sequence
- Kindergarten Scope and Sequence PDF
- Grade 1 Scope and Sequence PDF
- Grade 2 Scope and Sequence PDF
- Grade 3 Scope and Sequence PDF
- Grade 4 Scope and Sequence PDF
- Grade 5 Scope and Sequence PDF
- Scope and Sequence K-5 PDF
Sample Sessions
- Kindergarten: Session1.3-Counting Jar PDF
- Kindergarten: Resource Master-Grab and Count PDF
- Kindergarten: Student Math Handbook-Counting Jar PDF
- Kindergarten: Session1.6-Does Order Matter When You Count? PDF
- Kindergarten: Student Math Handbook-Counting PDF
- Kindergarten: Algebra Connections in This Unit PDF
- Kindergarten: Dialogue Box-Does Order Matter? PDF
- Grade 1: Session1.1-How Many of Each? PDF
- Grade 1: Resource Master-Start With Get To Cards (Set A) PDF
- Grade 1: Student Activity Book-Nine Toys: How Many of Each? PDF
- Grade 1: Student Activity Book-Using a Calendar PDF
- Grade 1: Resource Master-Family Letter about the Mathematics in This Unit PDF
- Grade 1: Student Math Handbook-Counting Forward and Counting Back PDF
- Grade 1: Student Math Handbook-How Many of Each? PDF
- Grade 1: Teacher Note-About the How Many of Each? Problems in This Unit PDF
- Grade 1: Teacher Note-Finding Relationships Among Solutions PDF
- Grade 1: Dialogue Box-Do We Have All the Combinations? PDF
- Grade 2: Session1.1-Story Problems with Stickers PDF
- Grade 2: Resource Master-Stickers: Strips and Singles PDF
- Grade 2: Student Activity Book-Sticker Problems PDF
- Grade 2: Resource Master-100 Chart PDF
- Grade 2: Student Activity Book-Telling Time Problems PDF
- Grade 2: Resource Master-Family Letter about the Mathematics in This Unit PDF
- Grade 2: Student Math Handbook-Place Value: Single Stickers and Strips of 10 PDF
- Grade 2: Student Math Handbook-Another Addition Story Problem PDF
- Grade 2: Teacher Note-Place Value in Grade 2 PDF
- Grade 2: Teacher Note-Stickers: A Context for Place Value PDF
- Grade 2: Dialogue Box-Adding With Stickers PDF
- Grade 2: Dialogue Box-Is It 2 Or 20? PDF
- Grade 3: Session3.3-How Far From 100? PDF
- Grade 3: Student Activity Book-How Far from 100? Recording Sheet PDF
- Grade 3: Student Activity Book-Related Problem Sets PDF
- Grade 3: Resource Master-Digit Cards PDF
- Grade 3: Resource Master-How Far From 100? PDF
- Grade 3: Student Math Handbook-Tools To Represent Subtraction Problems PDF
- Grade 3: Student Math Handbook-Strategies For Solving Subtraction Problems PDF
- Grade 3: Dialogue Box-How Far From 100? PDF
- Grade 4: Session2.3-Multiple Turn Over PDF
- Grade 4: Resource Master-Multiple Turn Over PDF
- Grade 4: Resource Master-Multiple Cards PDF
- Grade 4: Resource Master-Muliple Turn Over Recording Sheet PDF
- Grade 4: Student Activity Book-Distance Problems PDF
- Grade 4: Student Activity Book-Practicing With Multiplication Cards PDF
- Grade 4: Student Math Handbook-Multiplication Combinations PDF
- Grade 4: Dialogue Box-Identifying Factors and Multiples in Multiple Turn Over PDF
- Grade 5: Session3.3-Solving More Division Problems PDF
- Grade 5: Student Activity Book -Division Problems PDF
- Grade 5: Student Activity Book -Story Problems: School Supplies PDF
- Grade 5: Resource Master-Quick Images PDF
- Grade 5: Student Math Handbook-Division Strategies PDF
- Grade 5: Teacher Note-Division Strategies PDF
- Grade 5: Teacher Note-Developing Computation Strategies That Make Sense PDF
1st Edition Sample Sessions
- Kindergarten: Instructions for Favorite Lunch Foods and Sorrting the Lunch Foods Activities PDF
- Kindergarten: Teacher Note, Choosing Categories PDF
- Kindergarten: Teacher Note, Questions That Promote Data Analysis PDF
- Kindergarten: Dialogue Box, But My Peach Was Sweet PDF
- Grade 1: Instructions for Pattern Block Shapes Activity PDF
- Grade 1: Student Sheet 2, Pattern Block Fill-In, Shape A PDF
- Grade 2: Instructions for Introducing Cover-Up PDF
- Grade 2: Strategies for Cover-Up Dialogue Box PDF
- Grade 2: Student Sheet 17, Cover-Up Recording Sheet PDF
- Grade 3: Arranging Chairs Dialogue Box PDF
- Grade 3: The Arranging Chairs Puzzle PDF
- Grade 3: Arranging Chairs in Rectangular Arrays PDF
- Grade 4: Instructions for Making Graphs of Changing Population, Discussing the Shapes of Graphs, and Matching Graphs to Activities PDF
- Grade 4: The Shape of Mystery Graphs Dialogue Box PDF
- Grade 4: Student Sheet 16, Mystery Places and Activities PDF
- Grade 5: Instructions for How Many Cubes? and Discussion: Sharing Ways of Predicting PDF
- Grade 5: More Boxes for Predicting Teacher Resource PDF
- Grade 5: Packaging Factory Teacher Resource PDF
- Grade 5: Student Sheet 1, How Many Cubes? PDF
Pacing Information
- Kindergarten Pacing Information PDF
- Grade 1 Pacing Information PDF
- Grade 2 Pacing Information PDF
- Grade 3 Pacing Information PDF
- Grade 4 Pacing Information PDF
- Grade 5 Pacing Information PDF
- Pacing Information K-5 PDF
Comparing 1st and 2nd Edition Units
- Comparing 1st and 2nd Edition Kindergarten Units PDF
- Comparing 1st and 2nd Edition Grade 1 Units PDF
- Comparing 1st and 2nd Edition Grade 2 Units PDF
- Comparing 1st and 2nd Edition Grade 3 Units PDF
- Comparing 1st and 2nd Edition Grade 4 Units PDF
- Comparing 1st and 2nd Edition Grade 5 Units PDF
- Comparing 1st and 2nd Edition Units K-5 PDF
Teaching a New Unit
- Teaching a New Kindergarten Unit PDF
- Teaching a New Grade 1 Unit PDF
- Teaching a New Grade 2 Unit PDF
- Teaching a New Grade 3 Unit PDF
- Teaching a New Grade 4 Unit PDF
- Teaching a New Grade 5 Unit PDF
- Teaching a New Unit K-5 PDF
Curriculum by Math Content
- Counting and the Number System PDF
- Addition and Subtraction PDF
- Multiplication and Division PDF
- Rational Numbers PDF
- Geometry PDF
- Measurement PDF
- Data and Probability PDF
- Patterns and Functions PDF
- Place Value PDF
- Early Algebra PDF
- Computational Algorithms and Procedures PDF
- Developing Fluency with the Facts PDF
- Algebra in the Revision PDF
1st Edition Q&A Math Content
- Why is there such a focus on 6 in Kindergarten?
- Learning to Write Numerals
- How do students build an understanding of place value in Investigations?
- Do students learn computational algorithms?
- Do students practice computation and learn their facts?
- Addition Pairs Up to 10 + 10
- Multiplication Pairs Up to 12 x 12
- Can I show my child my way?
- How and where is estimation addressed?
- Teaching Multiplication and Division
- Landmark Numbers
- Counting Around the Class
- Two Types of Division
- Division Clusters
- Why teach fractions, decimals and percents together?
- What are the big ideas children develop as they work with data?
- Do we want children to learn that mean, median, and mode are all "averages"?
- The Meaning of Range
- Prism or Solid?
- A Question about Building Plans in Exploring Solids and Boxes
- Area and Perimeter
- Where is the house in the Sunken Ships Lesson?
- Picturing Polygons: Issues with the End-of-Unit Assessment
- Why delay the use of standard measurement units?
- Are there activities in Investigations to teach how to tell time?
- Should we teach patterns on the calendar?
- Net Change
- Teaching and Learning Mathematical Vocabulary
- Standard Notation
- From the Field
Components
- Program Components PDF
- Materials Kit by Grade PDF
- Completer Kit by Grade PDF
- Card Package by Grade PDF
- Materials as a Tool for Learning PDF
- Children's Literature K-2 PDF
- Children's Literature 3-5 PDF
- Grade 3: Resource Master-Assessment: Subtraction Strategies PDF
- Grade 3: Resource Master-Family Letter: Related Activities to Try at Home PDF
- Grade 5: Resource Master-Family Letter: About Mathematics Homework PDF
- Grade 4: Resource Master-Family Letter: Learning Multiplication Combinations PDF
- Grade 5: Student Activity Book-Problems Involving Teams PDF
- Grade 5: Student Activity Book-Multiplication Compare Recording Sheet PDF
- Grade 5: Student Activity Book-Number Puzzles PDF
- Grade 5: Student Activity Book-Multiplication Combinations 1 PDF
- Grade 3: Student Math Handbook-Measurement Tools PDF
- Grade 5: Student Math Handbook-Multiplication Compare PDF
1st Edition Components
- Overview of 1st Edition Components
- 1st Edition Curriculum Units
- 1st Edition Software
- 1st Edition Teacher Resource Packages
- 1st Edition Student Materials Kits
- 1st Edition What to Purchase, Gather, and Make
- 1st Edition Student Activity Booklets
- Family Letter in English PDF
- Family Letter in Spanish PDF
- Family Letter in Hmong PDF
- Family Letter in Vietnamese PDF
- Family Letter in Cambodian PDF
- Family Letter in Cantonese PDF
- Homework Notes PDF
- 1st Edition End-of-Unit Assessment Booklets
- 1st Edition ELL Support Packages
- 1st Edition Implementation Guides
- Grade 3 Overview of Correlation to NCTM Standards PDF
- Grade 3 Unit Topics PDF
- Things That Come in Groups-Correlation Chart PDF
- A Correlation of Investigations in Number, Data, and Space to the NCTM Principles and Standards for School Mathematics PDF
1st Edition Q&A Components
- Why is there no student text book for Investigations?
- Why are there no answer keys in the Investigations materials?
- Finding Trade Books
- Calculators in Grade Two
- What are Array Cards?
- Why are base ten blocks not used in Investigations?
- What support is available for teachers, students, and parents whose first language is not English?
Developing the Curriculum
1st Edition Developing the Curriculum
- 1st Edition Goals
- 1st Edition Development
- 1st Edition Authors
- Changes in the 2004 Edition Update
- Changes in the 1998 Edition Update
Implementing the Curriculum
1st Edition Q&A Implementing the Curriculum
Developing an Implementation Plan
- How should we plan for implementation?
- Can you give us some tips on choosing units to teach in our district?
- Starter Units
- Pilot or Replacement Units
- What's the rationale behind the order of books?
- Which units should you use in a multiage, looping classroom?
- From the Field:
- Supporting District Implementation: What Has CESAME Learned?
- Implementing a Standards-Based Curriculum? You're Not Done Yet!
- Implementing Investigations: Lessons Learned in MSAD 75
- The Gadsen Mathematics Initiative: A Partnership in New Mexico
- Perspectives from the Field: How did your needs change through the first few years?
Professional Development
- From the Field:
- What Mathematical Knowledge is Needed for Teaching Mathematics?
- Successful Peer Observations
- Curriculum Trainers and Coaches: Two Different Roles
- Themes From Our Seminar For Coaches
- Cutting Stress in Arizona with Weekly Grade-Level Planning
- Using Investigations to Prepare Teachers of Elementary Mathematics
Working with Families
- From the Field:
Implmemetation Issue: Alignment, Scope & Sequence
- Scope and Sequence
- How does the curriculum align with state standards and tests?
- How can we supplement Investigations and still maintain the integrity of the program?
- Can TERC suggest more homework problems to use?
- Why aren't there more word problems in 4th and 5th grade?
- From the Field
Implementation Issue: Assessment & Testing
- Where's the assessment in Investigations?
- How do I organize my observations…
- What makes a good assessment problem?
- From the Field:
Implementation Issue: The Teacher's Role
- The Teacher's Role in Investigations
- I'm wondering about the frequency and importance of Choice Time?
- This Program Seems Too Scripted
- What should principals look for?
- From the Field:
Implementation Issue: Engaging the Range of Learners, in a Range of Classroom Situations
- Using Investigations in a Multiage Classroom
- Equity in Cooperative Math Groups
- Inclusive Math Communities
- Students with Special Needs
- How can I help special needs students feel included in class discussions?
- Building Student Vocabulary
- How do you help students with ADD pay attention during group introductions or discussions?
- Teaching Investigations to students with Asperger's Syndrome
- These materials seem too easy
- How can we help students make sense of Close to 100 in a deeper way?
- How do I enrich Investigations to challenge gifted students?
- Creating Mathematical Challenges
- From the Field:
- English Language Learners
- An Activity to Assess Students' Knowledge of Number
- Developing Efficient Strategies: The Importance of Being Explicit
- Games in the Resource Room
- Math Menu: A Variation of Choice Time that Helps Teachers Support the Range of Learners
- Strategies for Special Needs Students
- Tidy Math Fan
- Working with Gifted Students
Impact of the Curriculum
1st Edition Impact of the Curriculum
- Full Year Pilot Grades 3 and 4
- Learning Operations: Invented Strategies That Work
- Modes of Teaching and Ways of Thinking
- The Investigations Curriculum and Children's Understanding of Whole Number Operations
1st Edition Q&A Impact of the Curriculum
- Research Supporting Investigations
- Is there evidence that this program will give us the results we need?
- Investigations in Boston: Setting the Record Straight
- Why isn't Investigations on the DoE's list of Exemplary and Promising Mathematics Programs?
- From the Field:
For Families
Articles & Papers
- 7 Ways to Add Math to Everday Play
- Analyzing Children's Length Strategies with Two-Dimensional Tasks: What Counts For Length?
- Building Blocks of Early Childhood Mathematics PDF
- Building Blocks for Early Childhood Mathematics PDF
- Building Blocks for Young Children's Mathematical Development PDF
- A Case for a Logo-Based Elementary School Geometry Curriculum
- Challenges for Teachers Attempting to Integrate a Mathematics Innovation
- Changing the Elementary Mathemathics Curriculum: Obstacles and Challenges
- Children's Concepts of Average and Representativeness
- Children's Spontaneous Representations of Changing Situations
- Computers and Mathematical Assessment
- Computers in Early Childhood Education PDF
- Computers Support Algebraic Thinking
- "Concrete" Manipulatives, Concrete Ideas
- Constructing Geometric Concepts in Logo
- Constructivist Learning and Teaching
- Developing Computational Fluency with Whole Number in the Elementary Grades
- The Earliest Geometry PDF
- The Effective Use of Computers with Young Children
- The Future of Educational Computing Research: The Case of Computer Programming PDF
- The Geometric World of Young Children PDF
- Geometry and Proof
- Graphing Software: The Place of Computers in an Elementary Data Analysis Curriculum
- Help Your Child Think Big!
- The Mathematical Miseducation of America's Youth
- Mathematics of Change: Ins and Outs or Ups and Downs
- Mathematics Curriculum Implementation: Not a Beginning, Not an End
- Mathematics in the Preschool PDF
- Mathematics for Young Children
- Metacognition, Learning, and Educational Computer Environments
- Middles, Means, and In-Betweens: The Paper Clip Game
- (Mis?)Constructing Constructivism
- My Turn: A Talk with the Logo Turtle
- Network of Influences in an Implementation of a Mathematics Curriculum Innovation
- Patterns in the Multiplication Table
- Playing with Computers, Playing with Ideas
- Preschool and Kindergarten Mathematics: A National Conference PDF
- A Process Approach to Mathematics: Mathematics as Communication
- Research on Logo: A Decade of Progress
- Rethinking Concrete Manipulatives
- The Role of Curriculum in Teacher Development
- The Role of Technology in Early Childhood Learning PDF
- Schools, Families, and Math
- Students' Development of Length Concepts in a Logo-Based Unit on Geometric Paths PDF
- Subitizing: What Is It? Why Teach It? PDF
- Teaching Length Measurement: Research Challenges PDF
- Translating from Research into Mathematics Classrooms: Mathematics and Special Needs Students
- Technology and school change: New lamps for old?
- Technology in Early Childhood Mathematics: Building Blocks as an Innovative Technology-Based Curriculum PDF
- Using Spatial Imagery in Geometric Reasoning
- Viewpoint: We Need Integrated Research and Software Development
- What Kind of Educational Computer Games Would Girls Like?
- Where's the Math in Computer Games?
- Your Child's Geometric World
- Young Children and Technology
- Young Children's Concepts of Shape PDF
Resources
- Websites for Children and Families
- Policy and Practice
- Equity Projects
- Websites for Educators and the Public
- Websites for Schools and Districts
- Organizations and Projects Working with Families
- Professional Educational Organizations
- National and Regional Implementation Centers
- Publishers and Resource Organizations