Connecting Math Concepts

Grade Levels: K-8
Connecting Math Concepts introduces ideas gradually and teaches students the connections between concepts. Focusing on the big ideas of mathematics, Connecting Math Concepts teaches explicit strategies that enable students to master difficult ideas such as ratios, proportions, probability, functions, and data analysis. Detailed explanations and guided practice move students toward independent work, ensuring that they gain success and confidence as mathematical thinkers.

About the Program

This highly successful program makes it easier than ever to teach students to become capable problem solvers, able to think and communicate mathematically. Through a unique pedagogical approach, Connecting Math Concepts provides a thorough understanding of basic skills, shows how mathematical concepts are linked together, and builds sophisticated problem-solving strategies.

With Connecting Math Concepts, all concepts are learned and assimilated through use. New concepts are presented incrementally and extended into subsequent lessons. Students move forward in small steps, learning and applying many topics in each lesson. Students learn in less time, remember more, and develop a depth of understanding needed for advanced mathematics.

Features:

  • Teaches every student to discover and use math patterns
  • Ideas are introduced at a carefully controlled rate with systematic, continuous review.
  • Takes the mystery out of story problems!

Student Materials:

Student Workbook (Level A-E)

  • Provides challenging application activities 
  • Workbooks give each student extra practice so students master the basics as they expand their understanding of mathematics
  • Correspond to each lesson so students get the most out of each concept

Student Hardcover Textbook (Level D-F)

  • Provide challenging application activities
  • Clear and concise directions for each activity
  • Independent work perfect for seat work or take home activities
  • Mathematical rules and examples for easy recall

Teacher Materials:

Teacher Materials Packages include 1 or 2 Presentation Books, Teacher's Guide, and Answer Key

  • Presentation Books provide fully scripted lesson plans that make teaching efficient and highly effective
  • Feature instructional strategies, teaching tips, and a Scope and Sequence in the Teacher Guide
  • Clearly labeled answer keys, making it easy to check independent work

Additional Teacher's Guides

  • Feature instructional strategies, teaching tips, and a Scope and Sequence, plus a reproducible Placement Test

Additional Answer Key

  • Clearly labeled answer keys, making it easy to check independent work

Lesson Sampler

  • Includes sample lessons, reproducible placement tests, and scope and sequence charts for all levels of the program  

Math Facts Blackline Masters (Level A-D) 

  • Provide extra worksheets for students who require extra practice in math facts
  • Test pages for teachers to assess student's mastery of the facts

Independent Worksheets Blackline Masters (Levels A-F)

  • Additional practice for skill and mastery maintenance
  • Ideal for homework activities or for independent use in the classroom


Program Components

  • Connecting Math Concepts - Teacher Material Package - Grades 6-8, Bridge to Connecting Math Concepts
    Connecting Math Concepts - Teacher Material Package - Grades 6-8, Bridge to Connecting Math Concepts
  • Connecting Math Concepts Level A, Presentation Book 1
    Connecting Math Concepts Level A, Presentation Book 1
  • Connecting Math Concepts Level A, Presentation Book 2
    Connecting Math Concepts Level A, Presentation Book 2
  • Connecting Math Concepts Level A, Teacher Materials Package
    Connecting Math Concepts Level A, Teacher Materials Package
  • Connecting Math Concepts Level B, Workbook 2 (Pkg. of 5)
    Connecting Math Concepts Level B, Workbook 2 (Pkg. of 5)
  • Connecting Math Concepts Level C, Presentation Book 2
    Connecting Math Concepts Level C, Presentation Book 2
  • Connecting Math Concepts Level C, Teacher Presentation Book
    Connecting Math Concepts Level C, Teacher Presentation Book
  • Connecting Math Concepts Level D, Presentation Book 1
    Connecting Math Concepts Level D, Presentation Book 1
  • Connecting Math Concepts Level D, Teacher Material Package
    Connecting Math Concepts Level D, Teacher Material Package
  • Connecting Math Concepts Level E, Presentation Book 1
    Connecting Math Concepts Level E, Presentation Book 1
  • Connecting Math Concepts Level F, Teacher Material Package
    Connecting Math Concepts Level F, Teacher Material Package
  • Connecting Math Concepts Level A, Additional Answer Key
    Connecting Math Concepts Level A, Additional Answer Key
  • Connecting Math Concepts Level A, Connecting Math Concepts - Additional Teacher's Guide
    Connecting Math Concepts Level A, Connecting Math Concepts - Additional Teacher's Guide
  • Connecting Math Concepts Level A, Math Facts Blackline Masters
    Connecting Math Concepts Level A, Math Facts Blackline Masters
  • Connecting Math Concepts Level B, Additional Answer Key
    Connecting Math Concepts Level B, Additional Answer Key
  • Connecting Math Concepts Level B, Additional Teacher's Guide
    Connecting Math Concepts Level B, Additional Teacher's Guide
  • Connecting Math Concepts Level B, Math Facts Blackline Masters
    Connecting Math Concepts Level B, Math Facts Blackline Masters
  • Connecting Math Concepts Level C, Additional Answer Key
    Connecting Math Concepts Level C, Additional Answer Key
  • Connecting Math Concepts Level C, Additional Teacher's Guide
    Connecting Math Concepts Level C, Additional Teacher's Guide
  • Connecting Math Concepts Level C, Independent Work Blackline Masters
    Connecting Math Concepts Level C, Independent Work Blackline Masters
  • Connecting Math Concepts Level C, Math Facts Blackline Masters
    Connecting Math Concepts Level C, Math Facts Blackline Masters
  • Connecting Math Concepts Level D, Additional Answer Key
    Connecting Math Concepts Level D, Additional Answer Key
  • Connecting Math Concepts Level D, Additional Teacher's Guide
    Connecting Math Concepts Level D, Additional Teacher's Guide
  • Connecting Math Concepts Level A, Workbook 1 (Pkg. of 5)
    Connecting Math Concepts Level A, Workbook 1 (Pkg. of 5)
  • Connecting Math Concepts Level A, Workbook 2 (Pkg. of 5)
    Connecting Math Concepts Level A, Workbook 2 (Pkg. of 5)
  • Connecting Math Concepts Level B, Workbook 1
    Connecting Math Concepts Level B, Workbook 1
  • Connecting Math Concepts Level B, Workbook 1 (Pkg. of 5)
    Connecting Math Concepts Level B, Workbook 1 (Pkg. of 5)
  • Connecting Math Concepts Level C, Textbook
    Connecting Math Concepts Level C, Textbook
  • Connecting Math Concepts Level C, Workbook (Pkg. of 5)
    Connecting Math Concepts Level C, Workbook (Pkg. of 5)
  • Connecting Math Concepts Level D, Textbook
    Connecting Math Concepts Level D, Textbook
  • Connecting Math Concepts Level D, Workbook (Pkg. of 5)
    Connecting Math Concepts Level D, Workbook (Pkg. of 5)
  • Connecting Math Concepts Level E, Workbook (Pkg. of 5)
    Connecting Math Concepts Level E, Workbook (Pkg. of 5)
  • Connecting Math Concepts, Bridge to Connecting Math Concepts (Grades 6-8), Textbook
    Connecting Math Concepts, Bridge to Connecting Math Concepts (Grades 6-8), Textbook
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Additional Details & Resources

Research Base

  • Direct Instruction Mathematics Programs: An Overview and Research Summary
    This paper provides an overview and research summary of Direct Instruction (DI) mathematics programs, including Connecting Math Concepts . A comparison of the constructivist approach to the direct or explicit approach to math instruction was conducted. Overviews and ways in which DI math programs meet the 6 principles for improving math instruction as provided by the National Council of Teachers of Mathematics (NCTM; 2000b) are noted. Finally, a research review and analysis of DI math programs published since 1990 (yielding 12 studies) was completed.
  • The Research Base for Direct Instruction Mathematics Programs
    The following is a description of the research base for Direct Instruction mathematics programs, specifically DISTAR Arithmetic I and II, Corrective Mathematics, and Connecting Math Concepts. Searched of reference lists were used to identify other possible research articles. Also, hand searches were done in the following peer-reviewed journals: Effective School Practices, Journal of Direct Instruction, and Educations and Treatment of Children.

Randomized Controlled Studies

Non-Randomized Controlled Studies

Evidence of Success

  • Special Education and Direct Instruction: An Effective Combination
    Research shows strong evidence of success when Direct Instruction programs are used with students with special needs. In fact, Direct Instruction is one of only seven interventions proven effective (Forness, Kavale, Blum & Lloyd, 1997). With its research-supported design and systematic delivery, Direct Instruction is often referred to as a program for special education or at-risk students.