Corrective Mathematics
Grades: 3 - 13
Efficacy-proven, intensive support for students who have difficulty with mathematics. Corrective Math is organized into seven strategic modules that provide teacher-directed, explicit instruction on critical math skills and concepts students struggle to grasp.
Program Details
Corrective Mathematics is a highly focused, intervention program consisting of seven modules that offer quick, targeting intervention to build understanding of:
- Addition
- Subtraction
- Multiplication
- Division
- Basic Fractions
- Fractions, Decimals, and Percents
- Ratios and Equations
By focusing on core content and breaking this content into a series of small conceptual steps and embedded skills, Corrective Mathematics enables you to teach mathematics skills, rules, and strategies efficiently and effectively. It ensures that students will learn to work mathematics problems accurately and confidently.
The series is not intended to serve as a fixed course of study. Instead it is used to support a high-quality core mathematics program. A placement test provides a plan that identifies which modules need to be covered.
Student Materials:
- Workbooks include daily worksheets and point summary charts for recording student performance and awarding grades.
Teacher Materials include:
- Presentation Books include a Guide section containing information for presenting exercises, correcting mistakes, and administering the pre-skill and placement tests. There is also a Presentation section that contains detailed lesson plans.
- Answer Key Booklets quickly and easily compare students' work with the actual calculations and word problem results.
Additional Resources:
- ExamView Software provides dynamic worksheets and creates paper- or computer-based tests and worksheets (available in 2 formats - ExamView for Addition, Subtraction, Multiplication, Division AND ExamView for Basic Fractions; Fractions, Decimals, and Percents; and Ratios and Equations).
- Additional Answer Key Booklets make it easy to check students' independent work.
- Series Guide helps determine what module your students are in by administering the pre-skill and placement tests. Guide also contains sample lessons from each of the seven modules.
Placement Tests
- Placement Test Administration: Two Methods
- Comprehensive: Student
- Comprehensive: Teacher
- Addition: Student
- Addition: Teacher
- Subtraction: Student
- Subtraction: Teacher
- Multiplication: Student
- Multiplication: Teacher
- Division: Student
- Division: Teacher
- Basic Fractions: Student
- Basic Fractions: Teacher
- Fractions, Decimals, and Percents: Student
- Fractions, Decimals, and Percents: Teacher
Correlations
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.
- Mathematics Education for Students with Learning Disabilities
The Center on Instruction conducted a meta-analysis on the topic of teaching mathematics to students with learning disabilities (Gersten, Chard, Jayanthi, Baker, Morphy, & Flojo, 2008). A meta-analysis is a statistical method by which research studies on a particular method of instruction are summarized to determine the effectiveness of that instructional method. Based on the findings of the meta-analysis report, seven effective instructional practices were identified for teaching mathematics to K–12 students with learning disabilities.
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.
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