MATH 180
Study: HMH (2014)
Summary
MATH 180 is an intervention mathematics program that rebuilds the foundational skills that struggling students need to prepare for algebra readiness. MATH 180 is a blended learning program, consisting of rotations between teacher led instruction and student paced software.
- Target Grades:
- 5, 6, 7, 8, 9, 10, 11, 12
- Target Populations:
-
- Students with learning disabilities
- Students with intellectual disabilities
- English language learners
- Any student at risk for academic failure
- Area(s) of Focus:
-
- Computation
- Concepts and/or word problems
- Whole number arithmetic
- Comprehensive: Includes computation/procedures, problem solving, and mathematical concepts
- Fractions, decimals (rational number)
- Where to Obtain:
- Houghton Mifflin Harcourt
- 125 High Street Boston, MA 02110
- 877021207562
- www.hmhco.com/products/math-180
- Initial Cost:
- Contact vendor for pricing details.
- Replacement Cost:
- Contact vendor for pricing details.
-
Cost varies based on purchase. MATH 180 is sold as a program combining consumable student materials, perpetual licenses to the responsive student software, and teacher materials (digital and print). The teacher materials include licenses to SAM Central where they will find downloadable resources and interactive whiteboard tools, and data and analytics tools. As well as printed Teacher Guides, annotated mSpace books, Resources for Differentiated Instruction, and the Getting Started and Professional Learning guides. A Classroom Materials Box is included with Course I. Most purchases of MATH 180 include two in-person Getting Started professional learning days. Additional coaching days can be purchased.
- Staff Qualified to Administer Include:
-
- Special Education Teacher
- General Education Teacher
- Reading Specialist
- Math Specialist
- EL Specialist
- Interventionist
- Student Support Services Personnel (e.g., counselor, social worker, school psychologist, etc.)
- Training Requirements:
- 2-3 days of training
-
The instructor training includes two in-person days of professional learning covering the content, approach, materials, and data/reporting. Ongoing training materials are embedded within the program.
The training materials were built by Math Solutions and have been in use and refined over the past several years.
- Access to Technical Support:
- Teachers can receive additional coaching, courses and have access to professional videos within the program itself to refresh or refine their use of the instructional model and program components including the instructional software and high leverage teaching practices.
- Recommended Administration Formats Include:
-
- Small group of students
- Minimum Number of Minutes Per Session:
- 53
- Minimum Number of Sessions Per Week:
- 5
- Minimum Number of Weeks:
- Detailed Implementation Manual or Instructions Available:
- Yes
- Is Technology Required?
-
- Computer or tablet
- Internet connection
Program Information
Descriptive Information
Please provide a description of program, including intended use:
MATH 180 is an intervention mathematics program that rebuilds the foundational skills that struggling students need to prepare for algebra readiness. MATH 180 is a blended learning program, consisting of rotations between teacher led instruction and student paced software.
The program is intended for use in the following age(s) and/or grade(s).
Age 3-5
Kindergarten
First grade
Second grade
Third grade
Fourth grade
Fifth grade
Sixth grade
Seventh grade
Eighth grade
Ninth grade
Tenth grade
Eleventh grade
Twelth grade
The program is intended for use with the following groups.
Students with learning disabilities
Students with intellectual disabilities
Students with emotional or behavioral disabilities
English language learners
Any student at risk for academic failure
Any student at risk for emotional and/or behavioral difficulties
Other
If other, please describe:
ACADEMIC INTERVENTION: Please indicate the academic area of focus.
Early Literacy
Alphabet knowledge
Phonological awareness
Phonological awarenessEarly writing
Early decoding abilities
Other
If other, please describe:
Language
Grammar
Syntax
Listening comprehension
Other
If other, please describe:
Reading
Phonics/word study
Comprehension
Fluency
Vocabulary
Spelling
Other
If other, please describe:
Mathematics
Concepts and/or word problems
Whole number arithmetic
Comprehensive: Includes computation/procedures, problem solving, and mathematical concepts
Algebra
Fractions, decimals (rational number)
Geometry and measurement
Other
If other, please describe:
Writing
Spelling
Sentence construction
Planning and revising
Other
If other, please describe:
BEHAVIORAL INTERVENTION: Please indicate the behavior area of focus.
Externalizing Behavior
Verbal Threats
Property Destruction
Noncompliance
High Levels of Disengagement
Disruptive Behavior
Social Behavior (e.g., Peer interactions, Adult interactions)
Other
If other, please describe:
Internalizing Behavior
Anxiety
Social Difficulties (e.g., withdrawal)
School Phobia
Other
If other, please describe:
Acquisition and cost information
Where to obtain:
- Address
- 125 High Street Boston, MA 02110
- Phone Number
- 877021207562
- Website
- www.hmhco.com/products/math-180
Initial cost for implementing program:
- Cost
- Unit of cost
Replacement cost per unit for subsequent use:
- Cost
- Unit of cost
- Duration of license
Additional cost information:
Describe basic pricing plan and structure of the program. Also, provide information on what is included in the published program, as well as what is not included but required for implementation (e.g., computer and/or internet access)
Cost varies based on purchase. MATH 180 is sold as a program combining consumable student materials, perpetual licenses to the responsive student software, and teacher materials (digital and print). The teacher materials include licenses to SAM Central where they will find downloadable resources and interactive whiteboard tools, and data and analytics tools. As well as printed Teacher Guides, annotated mSpace books, Resources for Differentiated Instruction, and the Getting Started and Professional Learning guides. A Classroom Materials Box is included with Course I. Most purchases of MATH 180 include two in-person Getting Started professional learning days. Additional coaching days can be purchased.Program Specifications
Setting for which the program is designed.
Small group of students
BI ONLY: A classroom of students
If group-delivered, how many students compose a small group?
12Program administration time
- Minimum number of minutes per session
- 53
- Minimum number of sessions per week
- 5
- Minimum number of weeks
- If intervention program is intended to occur over less frequently than 60 minutes a week for approximately 8 weeks, justify the level of intensity:
Does the program include highly specified teacher manuals or step by step instructions for implementation?- Yes
BEHAVIORAL INTERVENTION: Is the program affiliated with a broad school- or class-wide management program?-
If yes, please identify and describe the broader school- or class-wide management program: -
Does the program require technology? - Yes
-
If yes, what technology is required to implement your program? -
Computer or tablet
Internet connection
Other technology (please specify)
If your program requires additional technology not listed above, please describe the required technology and the extent to which it is combined with teacher small-group instruction/intervention:
Students rotate between teacher-led small group instruction and personalized software. Students will spend 20-25 minutes in each rotation every day.
Training
- How many people are needed to implement the program ?
Is training for the instructor or interventionist required?- Yes
- If yes, is the necessary training free or at-cost?
- At-cost
Describe the time required for instructor or interventionist training:- 2-3 days of training
Describe the format and content of the instructor or interventionist training:- The instructor training includes two in-person days of professional learning covering the content, approach, materials, and data/reporting. Ongoing training materials are embedded within the program.
What types or professionals are qualified to administer your program?
General Education Teacher
Reading Specialist
Math Specialist
EL Specialist
Interventionist
Student Support Services Personnel (e.g., counselor, social worker, school psychologist, etc.)
Applied Behavior Analysis (ABA) Therapist or Board Certified Behavior Analyst (BCBA)
Paraprofessional
Other
If other, please describe:
- Does the program assume that the instructor or interventionist has expertise in a given area?
-
Yes
If yes, please describe:
Intervention/Generalist for Course I stronger mathematics Course II
Are training manuals and materials available?- Yes
-
Describe how the training manuals or materials were field-tested with the target population of instructors or interventionist and students: - The training materials were built by Math Solutions and have been in use and refined over the past several years.
Do you provide fidelity of implementation guidance such as a checklist for implementation in your manual?- Yes
-
Can practitioners obtain ongoing professional and technical support? -
Yes
If yes, please specify where/how practitioners can obtain support:
Teachers can receive additional coaching, courses and have access to professional videos within the program itself to refresh or refine their use of the instructional model and program components including the instructional software and high leverage teaching practices.
Summary of Evidence Base
- Please identify, to the best of your knowledge, all the research studies that have been conducted to date supporting the efficacy of your program, including studies currently or previously submitted to NCII for review. Please provide citations only (in APA format); do not include any descriptive information on these studies. NCII staff will also conduct a search to confirm that the list you provide is accurate.
-
HMH (2014). Early Outcome Effects of a Blended Learning Model for Math Intervention Instruction With Special Population Students, HMH Research Update, New York, NY
HMH (2014). MATH 180 Students Report Greater Growth Than Comparison Students on SMI and NWEA-MAP, HMH Research Update, New York, NY
HMH (2015). Early Effects of MATH 180 on Academic Achievement, HMH Research Update, New York, NY
Study Information
Study Citations
HMH, (2014). Early Outcome Effects of a Blended Learning Model for Math Intervention Instruction With Special Population Students. New York, NY: HMH Research Update.
Participants
- Describe how students were selected to participate in the study:
- Students were selected from four distinctive geographic districts. There were 10 schools using the MATH 180 program and a matched set of 10 additional schools that served as comparisons. Student grade level ranged from 6th through 8th. All students in the study were identified by their district/school as being at risk in the area of mathematics based on factors including previous year performance on state assessments, grades NWEA MAP and the Math Inventory. As a result these students were selected in both the MATH 180 and comparison schools for additional intervention math support.
- Describe how students were identified as being at risk for academic failure (AI) or as having emotional or behavioral difficulties (BI):
- All students in the study were identified by their district/school as being at risk in the area of mathematics based on factors including not passing their state assessment or previous math course, NWEA MAP and the Math Inventory. Students were on average below the 25th percentile at the start of the study. Students in the study were in the 6th through 8th grade. The 25th percentile for the 6th grade is 645Q, 7th and 8th grade are even higher at 665Q and 730Q respectively.
-
ACADEMIC INTERVENTION: What percentage of participants were at risk, as measured by one or more of the following criteria:
- below the 30th percentile on local or national norm, or
- identified disability related to the focus of the intervention?
- %
-
BEHAVIORAL INTERVENTION: What percentage of participants were at risk, as measured by one or more of the following criteria:
- emotional disability label,
- placed in an alternative school/classroom,
- non-responsive to Tiers 1 and 2, or
- designation of severe problem behaviors on a validated scale or through observation?
- %
- Specify which condition is the submitted intervention:
- MATH 180 Course I
- Specify which condition is the control condition:
- Business as usual locally derived intervention. Consisted of ad hoc use of programs such as Math Navigator, Math lab, Triumphs, 1XL and teacher developed materials.
- If you have a third, competing condition, in addition to your control and intervention condition, identify what the competing condition is (data from this competing condition will not be used):
Using the tables that follow, provide data demonstrating comparability of the program group and control group in terms of demographics.
Grade Level
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
Age less than 1 | |||
Age 1 | |||
Age 2 | |||
Age 3 | |||
Age 4 | |||
Age 5 | |||
Kindergarten | |||
Grade 1 | |||
Grade 2 | |||
Grade 3 | |||
Grade 4 | |||
Grade 5 | |||
Grade 6 | 39.5% | 43.9% | 0.12 |
Grade 7 | 39.1% | 33.0% | 0.16 |
Grade 8 | 21.4% | 22.5% | 0.07 |
Grade 9 | |||
Grade 10 | |||
Grade 11 | |||
Grade 12 |
Race–Ethnicity
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
African American | 30.1% | 31.1% | 0.03 |
American Indian | |||
Asian/Pacific Islander | 4.5% | 4.0% | 0.14 |
Hispanic | 47.5% | 48.4% | 0.02 |
White | 14.8% | 14.5% | 0.00 |
Other |
Socioeconomic Status
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
Subsidized Lunch | 79.5% | 80.6% | 0.08 |
No Subsidized Lunch |
Disability Status
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
Speech-Language Impairments | |||
Learning Disabilities | 14.4% | 17.4% | 0.14 |
Behavior Disorders | |||
Emotional Disturbance | |||
Intellectual Disabilities | |||
Other | |||
Not Identified With a Disability |
ELL Status
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
English Language Learner | 30.6% | 29.1% | 0.06 |
Not English Language Learner |
Gender
Demographic | Program Number |
Control Number |
Effect Size: Cox Index for Binary Differences |
---|---|---|---|
Female | 49.2% | 49.6% | 0.02 |
Male | 50.8% | 50.4% | 0.02 |
Mean Effect Size
For any substantively (e.g., effect size ≥ 0.25 for pretest or demographic differences) or statistically significant (e.g., p < 0.05) pretest differences between groups in the descriptions below, please describe the extent to which these differences are related to the impact of the treatment. For example, if analyses were conducted to determine that outcomes from this study are due to the intervention and not demographic characteristics, please describe the results of those analyses here.
Design
- What method was used to determine students' placement in treatment/control groups?
- Systematic
- Please describe the assignment method or the process for defining treatment/comparison groups.
- This evaluation utilized a quasi-experimental design to estimate the impact of the MATH 180 program on math achievement in Grades 6-8. The MATH 180 program was implemented during the 2013-2014 school year in four districts across four states in the 2014-2015 school year. A total of 10 schools from these districts implemented MATH 180 in their schools for all eligible students. Eligible comparison school students were identified or matched within district on the same criteria used to identify students in the MATH 180 schools. To the extent possible, schools were also matched on the percentage of English Language Learners (ELL), students with disabilities, and students eligible for Free or Reduced Lunch (FRL) program to ensure that groups were comparable on these demographic variables.
-
What was the unit of assignment? - Other
- If other, please specify:
- Schools and teachers were randomly assigned
-
Please describe the unit of assignment: -
What unit(s) were used for primary data analysis? -
Schools
Teachers
Students
Classes
Other
If other, please specify:
-
Please describe the unit(s) used for primary data analysis:
Fidelity of Implementation
- How was the program delivered?
-
Individually
Small Group
Classroom
If small group, answer the following:
- Average group size
- 16
- Minimum group size
- 8
- Maximum group size
- 20
What was the duration of the intervention (If duration differed across participants, settings, or behaviors, describe for each.)?
- Weeks
- 36.00
- Sessions per week
- 5.00
- Duration of sessions in minutes
- 53.00
- What were the background, experience, training, and ongoing support of the instructors or interventionists?
- Math 180 teachers received 3 days of training on the program and periodic coaching to reinforce the quality of the program’s implementation. The background of the teachers is summarized below: Gender: Female: MATH 180 Schools Percent= 74%; Comparison Schools Percent= 20% Male: MATH 180 Schools Percent= 26%; Comparison Schools Percent= 80% Employment Status: Classroom Teacher: MATH 180 Schools Percent= 96%; Comparison Schools Percent= 100% Special Ed Teacher: MATH 180 Schools Percent= 4%; Comparison Schools= 0% Teaching Experience: Total years of experience: MATH 180 Schools M= 8.88, SD=10.04; Comparison Schools M=6.20, SD=5.54 Years in this district: MATH 180 Schools M=6.33, SD=6.83; Comparison Schools M=2.40, SD=2.61 Years at current school: MATH 180 Schools M=3.20, SD=3.16; Comparison Schools M=1.40, SD=0.55 Education (Highest Degree): Bachelors: MATH 180 Schools Percent=50%; Comparison Schools Percent= 20% Masters: MATH 180 Schools Percent= 50%; Comparison Schools Percent= 80% Certifications: Standard or Professional: MATH 180 Percent= 74%; Comparison Schools Percent= 20% Initial or Provisional: MATH 180 Percent= 26%; Comparison Schools Percent= 80% Grade(s) Teaching Core Math: 6: MATH 180 Percent= 37%; Comparison Schools Percent= 60% 7: MATH 180 Percent= 44%; Comparison Schools Percent= 60% 8: MATH 180 Percent= 26%; Comparison Schools Percent= 20% Grade(s) Teaching Math Intervention This Year: 6: MATH 180 Percent= 41%; Comparison Schools Percent= 80% 7: MATH 180 Percent= 41%; Comparison Schools Percent= 80% 8: MATH 180 Percent= 22%; Comparison Schools Percent= 40% Grade(s) Teaching Math Intervention Last Year: 6: MATH 180 Percent= 22%; Comparison Schools Percent= 0% 7: MATH 180 Percent= 19%; Comparison Schools Percent= 0% 8: MATH 180 Percent= 15%; Comparison Schools Percent= 0%
- Describe when and how fidelity of treatment information was obtained.
- Levels of program implementation fidelity were tracked in multiple ways. The research team utilized three methods for triangulating the level of program implementation; 1) student software activity (which accounted for use of software and teacher progress via mSkills assessments), 2) classroom observations and 3) a teacher survey
Program fidelity was monitored through an examination of the student’s software data which captures their number of sessions, time spent, activity and performance in each of the program’s zones. In addition, mSkills assessments which occur at the end of each teacher led instructional block were captured through the software. This data yielded how many instructional blocks the teacher completed and how each student performed on the assessment. In addition, teacher surveys, interviews with math coaches and periodic classroom observations were conducted.
Each school also received 6-8 visits by Math Solutions coaches throughout the study year. These coaches provided regular guidance to teachers and administrators on implementing the program with fidelity.
- What were the results on the fidelity-of-treatment implementation measure?
- As reported in the research update “Early Outcome Effects of a Blended Learning Model for Math Intervention Instruction With Special Population Students” average progress through the blocks for SPED, EL and FRL was 3.43, 4.34, and 3.88 respectively. These are within the normal and expected ranges for MATH 180. Teacher facilitated instruction progressed to block 5 which was also within the normal and expected range of progress for the program.
Teachers were also observed at three separate times throughout the study year although there was no second observer so intercoder agreement was not applicable.
- Was the fidelity measure also used in control classrooms?
- Yes, the surveys, interviews and observations.
Measures and Results
Measures Broader :
Targeted Measure | Reverse Coded? | Reliability | Relevance | Exposure |
---|
Broader Measure | Reverse Coded? | Reliability | Relevance | Exposure |
---|
Administrative Data Measure | Reverse Coded? | Relevance |
---|
Targeted Measures (Full Sample)
Measure | Sample Type | Effect Size |
---|---|---|
Average across all targeted measures | Full Sample | -- |
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
Broader Measures (Full Sample)
Measure | Sample Type | Effect Size |
---|---|---|
Average across all broader measures | Full Sample | -- |
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
Administrative Measures (Full Sample)
Measure | Sample Type | Effect Size |
---|---|---|
Average across all admin measures | Full Sample | -- |
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
Targeted Measures (Subgroups)
Measure | Sample Type | Effect Size |
---|---|---|
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
Broader Measures (Subgroups)
Measure | Sample Type | Effect Size |
---|---|---|
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
Administrative Measures (Subgroups)
Measure | Sample Type | Effect Size |
---|---|---|
* = p ≤ 0.05; † = Vendor did not provide necessary data for NCII to calculate effect sizes. |
- For any substantively (e.g., effect size ≥ 0.25 for pretest or demographic differences) or statistically significant (e.g., p < 0.05) pretest differences, please describe the extent to which these differences are related to the impact of the treatment. For example, if analyses were conducted to determine that outcomes from this study are due to the intervention and not pretest characteristics, please describe the results of those analyses here.
- Please explain any missing data or instances of measures with incomplete pre- or post-test data.
- If you have excluded a variable or data that are reported in the study being submitted, explain the rationale for exclusion:
- Describe the analyses used to determine whether the intervention produced changes in student outcomes:
- See attached study pages 3 - 6
Additional Research
- Is the program reviewed by WWC or E-ESSA?
- E-ESSA
- Summary of WWC / E-ESSA Findings :
What Works Clearinghouse Review
This program was not reviewed by What Works Clearinghouse.
Evidence for ESSA
None of the studies considered met Evidence for ESSA's inclusion requirements.
- How many additional research studies are potentially eligible for NCII review?
- 2
- Citations for Additional Research Studies :
Houghton Mifflin Harcourt (2014b) MATH 180 Students Report Greater Growth Than Comparison Students on SMI and NWEA-MAP, HMH Research Update, New York, NY
Houghton Mifflin Harcourt (2015) Early Effects of MATH 180 on Academic Achievement, HMH Research Update, New York, NY
Data Collection Practices
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