Response to Intervention The RTI Model: An Overview for Educators Jim Wright

Response to Intervention

www.interventioncentral.org

The RTI Model: An Overview for Educators

Jim Wrightwww.interventioncentral.org


www.interventioncentral.org 2

School Instructional Time: The Irreplaceable Resource

“In the average school system, there are 330 minutes in the instructional day, 1,650 minutes in the instructional week, and 56,700 minutes in the instructional year. Except in unusual circumstances, these are the only minutes we have to provide effective services for students. The number of years we have to apply these minutes is fixed. Therefore, each minute counts and schools cannot afford to support inefficient models of service delivery.” p. 177

Source: Batsche, G. M., Castillo, J. M., Dixon, D. N., & Forde, S. (2008). Best practices in problem analysis. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp. 177-193).



RTI Assumption: Struggling Students Are ‘Typical’ Until Proven Otherwise…

RTI logic assumes that:– A student who begins to struggle in general education is typical,

and that– It is general education’s responsibility to find the instructional

strategies that will unlock the student’s learning potential

Only when the student shows through well-documented interventions that he or she has ‘failed to respond to intervention’ does RTI begin to investigate the possibility that the student may have a learning disability or other special education condition.



Five Core Components of RTI Service Delivery

1. Student services are arranged in a multi-tier model 2. Data are collected to assess student baseline levels

and to make decisions about student progress 3. Interventions are ‘evidence-based’4. The ‘procedural integrity’ of interventions is measured5. RTI is implemented and developed at the school- and

district-level to be scalable and sustainable over time

Source: Glover, T. A., & DiPerna, J. C. (2007). Service delivery for response to intervention: Core components and directions for future research. School Psychology Review, 36, 526-540.



Target Student

Discrepancy 1: Skill Gap (Current Performance Level)

Avg Classroom Academic Performance Level

‘Dual-Discrepancy’: RTI Model of Learning Disability (Fuchs 2003)

Discrepancy 2:Gap in Rate of Learning (‘Slope of Improvement’)



RTI ‘Pyramid of Interventions’

Tier 1

Tier 2

Tier 3

Tier 1: Universal interventions. Available to all students in a classroom or school. Can consist of whole-group or individual strategies or supports.

Tier 2 Individualized interventions. Subset of students receive interventions targeting specific needs.

Tier 3: Intensive interventions. Students who are ‘non-responders’ to Tiers 1 & 2 are referred to the RTI Team for more intensive interventions.



Tier 1 Core InstructionTier I core instruction:• Is universal—available to all students.• Can be delivered within classrooms or throughout the school. • Is an ongoing process of developing strong classroom instructional

practices to reach the largest number of struggling learners.

All children have access to Tier 1 instruction/interventions. Teachers have the capability to use those strategies without requiring outside assistance.

Tier 1 instruction encompasses:

• The school’s core curriculum.• Al published or teacher-made materials used to deliver that curriculum.• Teacher use of ‘whole-group’ teaching & management strategies.

Tier I instruction addresses this question: Are strong classroom instructional strategies sufficient to help the student to achieve academic success?



Tier I (Classroom) InterventionTier 1 intervention:

• Targets ‘red flag’ students who are not successful with core instruction alone.

• Uses ‘evidence-based’ strategies to address student academic or behavioral concerns.

• Must be feasible to implement given the resources available in the classroom.

Tier I intervention addresses the question: Does the student make adequate progress when the instructor uses specific academic or behavioral strategies matched to the presenting concern?





Tier 2: Supplemental (Group-Based) Interventions(Standard Treatment Protocol)

Tier 2 interventions are typically delivered in small-group format. About 15% of students in the typical school will require Tier 2/supplemental intervention support. Group size for Tier 2 interventions is limited to 4-7 students.

Students placed in Tier 2 interventions should have a shared profile of intervention need.

Programs or practices used in Tier 2 interventions should be ‘evidence-based’.

The progress of students in Tier 2 interventions are monitored at least 1-2 times per month.

Source: Burns, M. K., & Gibbons, K. A. (2008). Implementing response-to-intervention in elementary and secondary schools. Routledge: New York.



Group-Based Tier 2 Services: How Much Time Should Be Allocated?

Emerging guidelines drawn largely from reading research suggest that standard protocol interventions should consist of at least three to five 30-minute sessions per week, in a group size not to exceed 7 students. Standard protocol interventions should also supplement, rather than replace, core instruction taking place in the classroom.

Sources: Burns, Al Otaiba, S. & Torgesen, J. (2007). Effects from intensive standardized kindergarten and first-grade interventions for the prevention of reading difficulties. In S. R. Jimerson, M. K. Burns, & A. M. VanDerHeyden (Eds.), Response to intervention: The science and practice of assessment and intervention (pp. 212-222).

National Reading Panel. (2000). Teaching children to read: An evidence-based assessment of the scientific research literature on reading and its implications for reading instruction. Bethesda, MD: National Institute of Child Health & Human Development, National Institutes of Health.



Scheduling Elementary Tier 2 Interventions

Source: Burns, M. K., & Gibbons, K. A. (2008). Implementing response-to-intervention in elementary and secondary schools: Procedures to assure scientific-based practices. New York: Routledge.

Classroom 1 Classroom 2 Classroom 3Grade K

Classroom 1 Classroom 2 Classroom 3Grade 1





Anyplace Elementary School: RTI Daily Schedule

Option 3: ‘Floating RTI’:Gradewide Shared Schedule. Each grade has a scheduled RTI time across classrooms. No two grades share the same RTI time. Advantages are that outside providers can move from grade to grade providing push-in or pull-out services and that students can be grouped by need across different teachers within the grade.

9:00-9:30

9:45-10:15

10:30-11:00

12:30-1:00

1:15-1:45

2:00-2:30



Tier 3: Intensive Individualized Interventions (Problem-Solving Model)

Tier 3 interventions are the most intensive offered in a school setting. About 5 % of a general-education student population may qualify for Tier 3 supports. Typically, the RTI Problem-Solving Team meets to develop intervention plans for Tier 3 students.

Students qualify for Tier 3 interventions because:– they are found to have a large skill gap when compared to their class or grade peers;

and/or– They did not respond to interventions provided previously at Tiers 1 & 2.

Tier 3 interventions are provided daily for sessions of at least 30 minutes. The student-teacher ratio is flexible but should allow the student to receive intensive, individualized instruction. The academic or behavioral progress of students in Tier 3 interventions is monitored at least weekly.

Source: Burns, M. K., & Gibbons, K. A. (2008). Implementing response-to-intervention in elementary and secondary schools. Routledge: New York.



NYSED RTI Guidance Memo: April 2008





“The Regents policy framework for RtI:Defines RtI to minimally include:

Appropriate instruction delivered to all students in the general education class by qualified personnel. Appropriate instruction in reading means scientific research-based reading programs that include explicit and systematic instruction in phonemic awareness, phonics, vocabulary development, reading fluency (including oral reading skills) and reading comprehension strategies.

Screenings applied to all students in the class to identify those students who are not making academic progress at expected rates.”



“Instruction matched to student need with increasingly intensive levels of targeted intervention and instruction for students who do not make satisfactory progress in their levels of performance and/or in their rate of learning to meet age or grade level standards.

Repeated assessments of student achievement which should include curriculum based measures to determine if interventions are resulting in student progress toward age or grade level standards.

The application of information about the student’s response to intervention to make educational decisions about changes in goals, instruction and/or services and the decision to make a referral for special education programs and/or services.”



“Written notification to the parents when the student requires an intervention beyond that provided to all students in the general education classroom that provides information about the: -amount and nature of student performance data that will be collected and the general education services that will be provided;-strategies for increasing the student’s rate of learning; and-parents’ right to request an evaluation for special education programs and/or services.”



“The Regents policy framework for RtI:Defines RtI to minimally include: Requires each school district to establish a plan and policies for implementing school-wide approaches and prereferral interventions in order to remediate a student’s performance prior to referral for special education, which may include the RtI process as part of a district’s school-wide approach. The school district must select and define the specific structure and components of its RtI program, including, but not limited to the: -criteria for determining the levels of intervention to be provided to students, -types of interventions, amount and nature of student performance data to be collected, and -manner and frequency for progress monitoring.”



Recommended RTI Websites

• New York State RTI Technical Assistance Center: www.nysrti.org

• National Center on RTI: www.rti4success.org

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RTI & Secondary Schools: Helping Struggling Students

Jim Wrightwww.interventioncentral.org



Secondary Students: Unique Challenges…

Struggling learners in middle and high school may:• Have significant deficits in basic academic skills• Lack higher-level problem-solving strategies and

concepts• Present with issues of school motivation• Show social/emotional concerns that interfere with

academics• Have difficulty with attendance• Are often in a process of disengaging from learning

even as adults in school expect that those students will move toward being ‘self-managing’ learners…



Overlap Between ‘Policy Pathways’ & RTI Goals: Recommendations for Schools to Reduce Dropout Rates• A range of high school learning options matched to the needs of

individual learners: ‘different schools for different students’• Strategies to engage parents• Individualized graduation plans• ‘Early warning systems’ to identify students at risk of school

failure• A range of supplemental services/’intensive assistance strategies’

for struggling students• Adult advocates to work individually with at-risk students to

overcome obstacles to school completionSource: Bridgeland, J. M., DiIulio, J. J., & Morison, K. B. (2006). The silent epidemic: Perspectives of high school dropouts. Seattle, WA: Gates Foundation. Retrieved on May 4, 2008, from http://www.gatesfoundation.org/nr/downloads/ed/TheSilentEpidemic3-06FINAL.pdf



School Dropout as a Process, Not an Event

“It is increasingly accepted that dropout is best conceptualized as a long-term process, not an instantaneous event; however, most interventions are administered at a middle or high school level after problems are severe.”

Source: Jimerson, S., Reschly, A.L., & Hess, R. (2008). Best practices in increasing the likelihood of school completion. In A. Thomas & J. Grimes (Eds). Best Practices in School Psychology - 5th Ed (pp. 1085-1097). Bethesda, MD: National Association of School Psychologists.. p.1090



What Are the ‘Early Warning Flags’ of Student Drop-Out?

A sample of 13,000 students in Philadelphia were tracked for 8 years. These early warning indicators were found to predict student drop-out in the sixth-grade year:

• Failure in English• Failure in math• Missing at least 20% of school days• Receiving an ‘unsatisfactory’ behavior rating from at

least one teacher

Source: Balfanz, R., Herzog, L., MacIver, D. J. (2007). Preventing student disengagement and keeping students on the graduation path in urban middle grades schools: Early identification and effective interventions. Educational Psychologist,42, 223–235. .



What is the Predictive Power of These Early Warning Flags?

Source: Balfanz, R., Herzog, L., MacIver, D. J. (2007). Preventing student disengagement and keeping students on the graduation path in urban middle grades schools: Early identification and effective interventions. Educational Psychologist,42, 223–235. .

Number of ‘Early Warning Flags’ in Student Record

Probability That Student Would Graduate

None 56%

1 36%

2 21%

3 13%

4 7%



‘Protective Factors’: Empowering Teachers“Some factors in students’ lives (such as family divorce, moving frequently, drug use, and poor teaching) lower the probability that these students will learn and/or get along with others. These are often referred to as risk factors…Risk factors do not assure student failure. Risk factors simply make the odds of failure greater. Aligning assessment and instruction allows teachers…to introduce new factors into the student’s life that raise the probability of learning. These are often called protective factors since they protect against the risks associated with risk factors…The use of protective factors to raise the probability of learning is often referred to as resilience.”

Source: Hosp, J. L. (2008). Best practices in aligning academic assessment with instruction. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp.363-376). Bethesda, MD: National Association of School Psychologists.



The Purpose of RTI in Secondary Schools: What Students Should It Serve?

Early Identification. As students begin to show need for academic support, the RTI model proactively supports them with early interventions to close the skill or performance gap with peers.

Chronically At-Risk. Students whose school performance is marginal across school years but who do not qualify for special education services are identified by the RTI Team and provided with ongoing intervention support.

Special Education. Students who fail to respond to scientifically valid general-education interventions implemented with integrity are classified as ‘non-responders’ and found eligible for special education.



Secondary-Level Tier 1 Intervention: Case ExamplesJim Wrightwww.interventioncentral.org





Tier 1 Case Example: Patricia: Reading Comprehension



Case Example: Reading ComprehensionThe Problem• A student, Patricia, struggled in her social studies class,

particularly in understanding the course readings. Her teacher, Ms. Cardamone, decided that the problem was significant enough that the student required some individualized support.

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Case Example: Reading ComprehensionThe Evidence• Student Interview. Ms. Cardamone met with Patricia to ask her

questions about her difficulties with social studies content and assignments. Patricia said that when she reads the course text and other assigned readings, she doesn’t have difficulty with the vocabulary but often realizes after reading half a page that she hasn’t really understood what she has read. Sometimes she has to reread a page several times and that can be frustrating.

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Case Example: Reading ComprehensionThe Evidence (Cont.)• Review of Records. Past teacher report card comments suggest that

Patricia has had difficulty with reading comprehension tasks in earlier grades. She had received help in middle school in the reading lab, although there was no record of what specific interventions were tried in that setting.

• Input from Other Teachers. Ms. Cardamone checked with other teachers who have Patricia in their classes. All expressed concern about Patricia’s reading comprehension skills. The English teacher noted that Patricia appears to have difficulty pulling the main idea from a passage, which limits her ability to extract key information from texts and to review that information for tests.

•

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Case Example: Reading ComprehensionThe Intervention• Ms. Cardamone decided, based on the evidence collected, that

Patricia would benefit from training in identifying the main idea from a passage, rather than trying to retain all the information presented in the text. She selected two simple interventions: Question Generation and Text Lookback. She arranged to have Patricia meet with her during an open period to review these two strategies. During that meeting, Ms. Cardamone demonstrated how to use these strategies effectively with the social studies course text and other assigned readings.

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QuestionGeneration

Students are taught to boost their comprehension of expository passages by (1) locating the main idea or key ideas in the passage and (2) generating questions based on that information.

http://www.interventioncentral.org/htmdocs/interventions/rdngcompr/qgen.php



Text Lookback

Text lookback is a simple strategy that students can use to boost their recall of expository prose by identifying questions that require information from the text and then looking back in the text in a methodical manner to locate that information.

http://www.interventioncentral.org/htmdocs/interventions/rdngcompr/txtlkbk.php



Case Example: Reading ComprehensionDocumentation and Goal-Setting• Ms Cardamone filled out a Tier 1 intervention plan for the

student. On the plan, she listed interventions to be used, a checkup date (4 instructional weeks), and data to be used to assess student progress.

• Data: Ms. Cardamone decided that she would rate the student’s grasp of text content in two ways: – Student self-rating (1-3 scale; 1=don’t understand; 3 = understand

well)– Quiz grades.

• She collected baseline on both and set a goal for improvement.

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Case Example: Reading ComprehensionThe Outcome• When the intervention had been in place for 4 weeks, Ms.

Cardamone noted that Patricia appeared to have a somewhat better grasp of course content and expressed a greater understanding of material from the text.

• She shared her intervention ideas with other teachers working with Patricia. Because Patricia’s self-ratings of reading comprehension and quiz grades met the goals after 4 weeks, Ms. Cardamone decided to continue the intervention plan with the student without changes.

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Tier 1 Case Example: Justin: Non-Compliance



Case Example: Non-ComplianceThe Problem

• Justin showed a pattern from the start of the school year of not complying with teacher requests in his English class. His teacher, Mr. Steubin, noted that – when given a teacher directive—Justin would sometimes fail to comply. Justin would show no obvious signs of opposition but would sit passively or remain engaged in his current activity, as if ignoring the instructor.

When no task demands were made on him, Justin was typically a quiet and somewhat distant student but otherwise appeared to fit into the class and show appropriate behavior.

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Case Example: Non-ComplianceThe Evidence• Student Interview. Mr. Steubin felt that he did not have a strong

relationship with the student, so he asked the counselor to talk with Justin about why he might be non-compliant in English class. Justin told the counselor that he was bored in the class and just didn’t like to write. When pressed by the counselor, Justin admitted that he could do the work in the class but chose not to.

• Direct Observation. Mr. Steubin noted that Justin was less likely to comply with writing assignments than other in-class tasks. The likelihood that Justin would be non-compliant tended to go up if Mr. Steubin pushed him to comply in the presence of Justin’s peers. The odds that Justin would comply also appeared to increase when Mr. Steubin stated his request and walked away, rather than continuing to ‘nag’ Justin to comply.

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Case Example: Non-ComplianceThe Evidence (Cont.)• Work Products. Mr. Steubin knew from the assignments that he did

receive from Justin that the student had adequate writing skills. However, Justin’s compositions tended to be short, and ideas were not always as fully developed as they could be—as Justin was doing the minimum to get by.

• Input from Other Teachers. Mr. Steubin checked with other teachers who had Justin in their classes. The Spanish teacher had similar problems in getting Justin to comply but the science teacher generally found Justin to be a compliant and pleasant student. She noted that Justin seemed to really like hands-on activities and that, when potentially non-compliant, he responded well to gentle humor.

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Case Example: Non-ComplianceThe Intervention• Mr. Steubin realized that he tended to focus most of his attention on

Justin’s non-compliance. So the student’s non compliance might be supported by teacher attention. OR the student’s compliant behaviors might be extinguished because Mr. Steubin did not pay attention to them.

• The teacher decided instead that Justin needed to have appropriate consequences for non-compliance, balanced with incentives to engage in learning tasks. Additionally, Mr. Steubin elected to give the student attention at times that were NOT linked to non-compliance.

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Case Example: Non-ComplianceThe Intervention (Cont.)• Appropriate Consequences for Non-Compliance. Mr. Steubin adopted a

new strategy to deal with Justin’s episodes of non-compliance. Mr. Steubin got agreement from Justin’s parents that the student could get access to privileges at home each day only if he had a good report from the teacher about complying with classroom requests.

Whenever the student failed to comply within a reasonable time (1 minute) to a teacher request, Mr. Steubin would approach Justin’s desk and quietly restate the request as a two-part ‘choice’ statement. He kept his verbal interactions brief and neutral in tone. As part of the ‘choice’ statement, the teacher told Justin that if he did not comply, his parents would be emailed a negative report. If Justin still did not comply, Mr. Steubin would follow through later that day in sending the report of non-compliance to the parents.

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Teacher Command Sequence: Two-Part Choice Statement

1. Make the request. Use simple, clear language that the student understands.

If possible, phrase the request as a positive (do) statement, rather than a negative (don’t) statement. (E.g., “Justin, please start your writing assignment now.”) Wait a reasonable time for the student to comply (e.g., 1 minute)




2. [If the student fails to comply] Repeat the request as a 2-part choice. Give the student two clear choices with clear consequences. Order the choices so that the student hears negative consequence as the first choice and the teacher request as the second choice. (E.g., “Justin, I can email your parents to say that you won’t do the class assignment or you can start the assignment now and not have a negative report go home. It’s your choice.”) Give the student a reasonable time to comply (e.g., 1 minute).




3. [If the student fails to comply] Impose the pre-selected negative consequence. As you impose the consequence, ignore student questions or complaints that appear intended to entangle you in a power struggle.



Case Example: Non-ComplianceThe Intervention (Cont.)• Active Student Engagement. Mr. Steubin reasoned that he could probably

better motivate the entire class by making sure that lessons were engaging.

He made an extra effort to build lessons around topics of high interest to students, built in cooperative learning opportunities to engage students, and moved the lesson along at a brisk pace. The teacher also made ‘real-world’ connections whenever he could between what was being taught in a lesson and ways that students could apply that knowledge or skill outside of school or in future situations.

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Case Example: Non-ComplianceThe Intervention (Cont.)• Teacher Attention (Non-Contingent). Mr. Steubin adopted the two-by-ten

intervention (A. Mendler, 2000) as a way to jumpstart a connection with Justin. The total time required for this strategy was 20 minutes across ten school days.

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Sample Ideas to Improve Relationships With Students: The Two-By-Ten Intervention (Mendler, 2000)

• Make a commitment to spend 2 minutes per day for 10 consecutive days in building a relationship with the student…by talking about topics of interest to the student.

Avoid discussing problems with the student’s behaviors or schoolwork during these times.

Source: Mendler, A. N. (2000). Motivating students who don’t care. Bloomington, IN: National Educational Service.



Sample Ideas to Improve Relationships With Students: The Three-to-One Intervention

(Sprick, Borgmeier, & Nolet, 2002)

• Give positive attention or praise to problem students at least three times more frequently than you reprimand them. Give the student the attention or praise during moments when that student is acting appropriately. Keep track of how frequently you give positive attention and reprimands to the student.

Source: Sprick, R. S., Borgmeier, C., & Nolet, V. (2002). Prevention and management of behavior problems in secondary schools. In M. A. Shinn, H. M. Walker & G. Stoner (Eds.), Interventions for academic and behavior problems II: Preventive and remedial approaches (pp.373-401). Bethesda, MD: National Association of School Psychologists.



Case Example: Non-ComplianceThe Outcome• The strategies adopted by Mr. Steubin did not improve Justin’s level of

compliance right away. Once the teacher had gone through the full ten days of the ‘two by ten’ intervention, however, Mr. Steubin noticed that Justin made more eye contact with him and even joked occasionally. And the student’s rate of compliance then noticeably improved—but still had a way to go.

• Mr. Steubin kept in regular contact with Justin’s parents, who admitted about 8 days into the intervention that they were not as rigorous as they should be in preventing him from accessing privileges at home when he was non-compliant at school. When the teacher urged them to hold the line at home, they said that they would –and did. Justin’s behavior improved as a result, to the point where his level of compliance was typical for the range of students in Mr. Steubin’s class.

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Elementary Tier 1 Intervention: Case ExampleJim Wrightwww.interventioncentral.org





Tier 1 Case Example: John: Math Computation



Case Example: Math ComputationThe Problem• John is a fourth-grade student. His teacher, Mrs. Kennedy, is

concerned that John appears to be much slower in completing math computation items than are his classmates.

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Profile of Students With Significant Math Difficulties 1. Spatial organization. The student commits errors such as misaligning numbers in

columns in a multiplication problem or confusing directionality in a subtraction problem (and subtracting the original number—minuend—from the figure to be subtracted (subtrahend).

2. Visual detail. The student misreads a mathematical sign or leaves out a decimal or dollar sign in the answer.

3. Procedural errors. The student skips or adds a step in a computation sequence. Or the student misapplies a learned rule from one arithmetic procedure when completing another, different arithmetic procedure.

4. Inability to ‘shift psychological set’. The student does not shift from one operation type (e.g., addition) to another (e.g., multiplication) when warranted.

5. Graphomotor. The student’s poor handwriting can cause him or her to misread handwritten numbers, leading to errors in computation.

6. Memory. The student fails to remember a specific math fact needed to solve a problem. (The student may KNOW the math fact but not be able to recall it at ‘point of performance’.)

7. Judgment and reasoning. The student comes up with solutions to problems that are clearly unreasonable. However, the student is not able adequately to evaluate those responses to gauge whether they actually make sense in context.

Source: Rourke, B. P. (1993). Arithmetic disabilities, specific & otherwise: A neuropsychological perspective. Journal of Learning Disabilities, 26, 214-226.



Case Example: Math ComputationCore Instruction• John’s school uses the Everyday Math curriculum (McGraw

Hill/University of Chicago). In addition to the basic curriculum the series contains intervention exercises for students who need additional practice or remediation.

As an extension of core instruction, his teacher works with a small group of children in her room—including John– having them complete these practice exercises to boost their math computation fluency. While other children in this group appear to benefit from the assistance, John does not make noticeable gains in his computation speed.

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Case Example: Math Computation The Evidence• Mrs. Kennedy collects and reviews information that may be

relevant to understanding John’s math computation concern:

Teacher Interview. Ms. Kennedy talks with John’s Grade 3 teacher from last year who confirms that John was slow in completing math facts in that setting as well—but was accurate in his work and appeared motivated to do computation assignments.

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Case Example: Math ComputationThe Evidence (Cont.)• Review of Records. When Mrs. Kennedy reviews John’s past

report cards and other records from his cumulative file, she does not find any comments or other evidence that he displayed fine-motor delays that might interfere with computation fluency.

• Work Products. Mrs. Kennedy reviews examples of John’s work on untimed math computation worksheets. Similar to observations shared by the 3rd grade teacher, Mrs. Kennedy notes that John’s work is accurate—even though he did not complete as many problems as peers.

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Case Example: Math ComputationThe Evidence (Cont.)• Direct Observation. Watching John complete a computation

worksheet, his teacher notes that John counts on his fingers. This appears to slow down his computation speed considerably.

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Case Example: Math ComputationThe Intervention• Mrs. Kennedy met with a consultant to create a Tier 1

(classroom) intervention plan for John. Both the consultant and teacher agreed that John was slow in math computation because he relied on finger counting to compute number problems rather than using the more efficient strategies of mental arithmetic and automatic recall of math facts.

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Case Example: Math ComputationThe Intervention (Cont.)• Mrs. Kennedy decided to institute a version of math

computation time-drills as a technique to boost John’s computation speed and (she hoped) encourage him to give up the finger-counting habit.

Each day, John would self-administer and score 3 separate three-minute time drills using multiplication facts….

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Math Intervention: Tier I or II: Elementary & Secondary: Self-Administered ‘Math Fact’ Timed Drills With Performance Self-

Monitoring & Incentives

1. The student is given a math computation worksheet of a specific problem type, along with an answer key [Academic Opportunity to Respond].

2. The student consults his or her performance chart and notes previous performance. The student is encouraged to try to ‘beat’ his or her most recent score.

3. The student is given a pre-selected amount of time (e.g., 5 minutes) to complete as many problems as possible. The student sets a timer and works on the computation sheet until the timer rings. [Active Student Responding]

4. The student checks his or her work, giving credit for each correct digit (digit of correct value appearing in the correct place-position in the answer). [Performance Feedback]

5. The student records the day’s score of TOTAL number of correct digits on his or her personal performance chart.

6. The student receives praise or a reward if he or she exceeds the most recently posted number of correct digits.

Application of ‘Learn Unit’ framework from : Heward, W.L. (1996). Three low-tech strategies for increasing the frequency of active student response during group instruction. In R. Gardner, D. M.S ainato, J. O. Cooper, T. E. Heron, W. L. Heward, J. W. Eshleman,& T. A. Grossi (Eds.), Behavior analysis in education: Focus on measurably superior instruction (pp.283-320). Pacific Grove, CA:Brooks/Cole.



Self-Administered Arithmetic Combination Drills:Examples of Student Worksheet and Answer Key

Worksheets created using Math Worksheet Generator. Available online at:http://www.interventioncentral.org/htmdocs/tools/mathprobe/addsing.php



Self-Administered Arithmetic Combination Drills…

No Reward

Reward GivenReward GivenReward Given

No RewardNo Reward

Reward Given



Case Example: Math ComputationDocumentation and Goal-Setting• While meeting with the consultant, Mrs. Kennedy filled out a

Tier 1 intervention plan for the student. On the plan, she listed interventions to be used, a checkup date (5 instructional weeks), and data to be used to assess student progress.

• Mrs. Kennedy decided to monitor John’s computation progress once per week using a 2-minute curriculum-based measurement math computation probe.

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Case Example: Math ComputationGoal-Setting• Mrs. Kennedy’s school used math

computation guidelines that indicated that defined fluency in math computation at 40 correct digits (CDs) or more in two minutes.

• At baseline, John was found to calculate an average of 18 CDs per 2 minutes.

• Mrs. Kennedy decided to set a goal of 2 additional CDs per week. Her intermediate goal was for John to compute at least 28 CDs per 2 minutes at the end of five weeks.

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Case Example: Math ComputationThe Outcome• When the intervention had been in place for 5 weeks, Mrs.

Kennedy found that John had exceeded his intermediate goal of 28 CDs per 2 minutes—the actual number was 34 CDs.

• Mrs. Kennedy judged that the intervention was effective. She decided to continue the intervention without changes for another five weeks with the expectation that John would reach his goal (40 CDs in 2 minutes) by that time.

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Documents

Response to Intervention The RTI Model: An Overview for Educators Jim Wright