# Connecting Math Concepts 2003

*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

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## Products

To learn about the specific purchase options for this program, please contact our **Customer Service team at 800-338-3987**

## 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

- Effective Mathematics Instruction: The Importance of Curriculum

This study compared Connecting Math Concepts to Scott Foresman's Invitation to Mathematics and found that Connecting Math Concepts was more effective in improving student achievement outcomes.

## Non-Randomized Controlled Studies

- Effects on Urban Children of Curriculum Alignment Versus Direct Instruction

This study found that the Direct Instruction method of teaching was superior in improving student achievement when compared against traditional basal curricula.

## 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.