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RTI: Best Practices in Writing & Math Interventions Jim Wright www.interventioncentral.org. RTI & Academic Interventions: Overview. Math Interventions & Progress-Monitoring. Writing Interventions & Progress-Monitoring. Academic Intervention ‘Critical Components’. - PowerPoint PPT Presentation

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Page 1: RTI: Best Practices in Writing & Math Interventions Jim Wright interventioncentral

Response to Intervention

www.interventioncentral.org

RTI: Best Practices in Writing & Math Interventions

Jim Wrightwww.interventioncentral.org

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RTI: Best Practices in Writing and Math Interventions

RTI & Academic Interventions: Overview

Math Interventions & Progress-Monitoring

Writing Interventions & Progress-Monitoring

Academic Intervention ‘Critical Components’

Ideas for Measuring Integrity of Math & Writing Interventions

Web Resources to Support Academic Interventions

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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.

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Use Time & Resources Efficiently By Collecting Information Only on ‘Things That Are Alterable’

“…Time should be spent thinking about things that the intervention team can influence through instruction, consultation, related services, or adjustments to the student’s program. These are things that are alterable.…Beware of statements about cognitive processes that shift the focus from the curriculum and may even encourage questionable educational practice. They can also promote writing off a student because of the rationale that the student’s insufficient performance is due to a limited and fixed potential. “ p.359

Source: Howell, K. W., Hosp, J. L., & Kurns, S. (2008). Best practices in curriculum-based evaluation. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp.349-362). Bethesda, MD: National Association of School Psychologists.

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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.

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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.

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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’)

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Intervention Research & Development: A Work in

Progress

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Tier 1: What Are the Recommended Elements of ‘Core Curriculum’?: More Research Needed

“In essence, we now have a good beginning on the evaluation of Tier 2 and 3 interventions, but no idea about what it will take to get the core curriculum to work at Tier 1. A complicating issue with this potential line of research is that many schools use multiple materials as their core program.” p. 640

Source: Kovaleski, J. F. (2007). Response to intervention: Considerations for research and systems change. School Psychology Review, 36, 638-646.

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Limitations of Intervention Research…

“…the list of evidence-based interventions is quite small relative to the need [of RTI]…. Thus, limited dissemination of interventions is likely to be a practical problem as individuals move forward in the application of RTI models in applied settings.” p. 33

Source: Kratochwill, T. R., Clements, M. A., & Kalymon, K. M. (2007). Response to intervention: Conceptual and methodological issues in implementation. In Jimerson, S. R., Burns, M. K., & VanDerHeyden, A. M. (Eds.), Handbook of response to intervention: The science and practice of assessment and intervention. New York: Springer.

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There is a lack of agreement about what is meant by ‘scientifically validated’ classroom (Tier I) interventions. Districts should establish a ‘vetting’ process—criteria for judging whether a particular instructional or intervention approach should be considered empirically based.

Source: Fuchs, D., & Deshler, D. D. (2007). What we need to know about responsiveness to intervention (and shouldn’t be afraid to ask).. Learning Disabilities Research & Practice, 22(2),129–136.

Schools Need to Review Tier 1 (Classroom) Interventions to Ensure That They Are Supported

By Research

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What Are Appropriate Content-Area Tier 1 Universal Interventions for Secondary Schools?

“High schools need to determine what constitutes high-quality universal instruction across content areas. In addition, high school teachers need professional development in, for example, differentiated instructional techniques that will help ensure student access to instruction interventions that are effectively implemented.”

Source: Duffy, H. (August 2007). Meeting the needs of significantly struggling learners in high school. Washington, DC: National High School Center. Retrieved from http://www.betterhighschools.org/pubs/ p. 9

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RTI & Intervention: Key Concepts

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Essential Elements of Any Academic or Behavioral Intervention (‘Treatment’) Strategy:

• Method of delivery (‘Who or what delivers the treatment?’)Examples include teachers, paraprofessionals, parents, volunteers, computers.

• Treatment component (‘What makes the intervention effective?’)Examples include activation of prior knowledge to help the student to make meaningful connections between ‘known’ and new material; guide practice (e.g., Paired Reading) to increase reading fluency; periodic review of material to aid student retention.

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Core Instruction, Interventions, Accommodations & Modifications: Sorting Them Out

• Core Instruction. Those instructional strategies that are used routinely with all students in a general-education setting are considered ‘core instruction’. High-quality instruction is essential and forms the foundation of RTI academic support. NOTE: While it is important to verify that good core instructional practices are in place for a struggling student, those routine practices do not ‘count’ as individual student interventions.

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Core Instruction, Interventions, Accommodations & Modifications: Sorting Them Out

• Intervention. An academic intervention is a strategy used to teach a new skill, build fluency in a skill, or encourage a child to apply an existing skill to new situations or settings. An intervention can be thought of as “a set of actions that, when taken, have demonstrated ability to change a fixed educational trajectory” (Methe & Riley-Tillman, 2008; p. 37).

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Core Instruction, Interventions, Accommodations & Modifications: Sorting Them Out

• Accommodation. An accommodation is intended to help the student to fully access and participate in the general-education curriculum without changing the instructional content and without reducing the student’s rate of learning (Skinner, Pappas & Davis, 2005). An accommodation is intended to remove barriers to learning while still expecting that students will master the same instructional content as their typical peers. – Accommodation example 1: Students are allowed to supplement

silent reading of a novel by listening to the book on tape. – Accommodation example 2: For unmotivated students, the

instructor breaks larger assignments into smaller ‘chunks’ and providing students with performance feedback and praise for each completed ‘chunk’ of assigned work (Skinner, Pappas & Davis, 2005).

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Core Instruction, Interventions, Accommodations & Modifications: Sorting Them Out

• Modification. A modification changes the expectations of what a student is expected to know or do—typically by lowering the academic standards against which the student is to be evaluated.

Examples of modifications:– Giving a student five math computation problems for practice

instead of the 20 problems assigned to the rest of the class– Letting the student consult course notes during a test when peers

are not permitted to do so– Allowing a student to select a much easier book for a book report

than would be allowed to his or her classmates.

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Defining Student Writing Problems

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"If all the grammarians in the world were placed end to end, it would be a good thing."– Oscar Wilde

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Domains of writing to be assessed (Robinson & Howell, 2008):

• Fluency/Text Generation: Facility in getting text onto paper or typed into the computer. (NOTE: This element can be significantly influenced by student motivation.)

• Syntactic Maturity: This skill includes the:– Ability to discern when a word string meets criteria as a complete

sentence– Ability to write compositions with a diverse range of sentence

structures• Semantic Maturity: Writer’s use of vocabulary of range and sophistication

Source: Robinson, L. K., & Howell, K. W. (2008). Best practices in curriculum-based evaluation & written expression. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp. 439-452). Bethesda, MD: National Association of School Psychologists.

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5-Step Writing Process: (Items in bold are iterative):1. Planning. The student carries out necessary pre-writing

planning activities, including content, format, and outline.

2. Drafting. The student writes or types the composition.

3. Revision. The student reviews the content of the composition-in-progress and makes changes as needed. After producing an initial written draft, the student considers revisions to content before turning in for a grade or evaluation.

4. Editing. The student looks over the composition and corrects any mechanical mistakes (capitalization, punctuation, etc.).

5. Publication: The student submits the composition in finished form.Source: Robinson, L. K., & Howell, K. W. (2008). Best practices in curriculum-based evaluation & written expression. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp. 439-452). Bethesda, MD: National Association of School Psychologists.

Domains of writing to be assessed (Robinson & Howell, 2008):

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Graham, S., & Perin, D. (2007). Writing next: Effective strategies to improve writing of adolescents in middle and high schools – A report to Carnegie Corporation of New York. Washington, DC Alliance for Excellent Education. Retrieved from http://www.all4ed.org/files/WritingNext.pdf

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Evaluating the Impact of Effect Size Coefficients

• 0.20 Effect Size = Small• 0.50 Effect Size = Medium• 0.80 Effect Size = Large

Source: Cohen,J. (1988). Statistical power analysis for the behavioral sciences (2nded.). Hillsdale,NJ:Erlbaum.

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Elements of effective writing instruction for adolescents:

1. Writing Process (Effect Size = 0.82): Students are taught a process for planning, revising, and editing.

2. Summarizing (Effect Size = 0.82): Students are taught methods to identify key points, main ideas from readings to write summaries of source texts.

3. Cooperative Learning Activities (‘Collaborative Writing’) (Effect Size = 0.75): Students are placed in pairs or groups with learning activities that focus on collaborative use of the writing process.

4. Goal-Setting (Effect Size = 0.70): Students set specific ‘product goals’ for their writing and then check their attainment of those self-generated goals.

Source: Graham, S., & Perin, D. (2007). Writing next: Effective strategies to improve writing of adolescents in middle and high schools – A report to Carnegie Corporation of New York. Washington, DC Alliance for Excellent Education. Retrieved from http://www.all4ed.org/files/WritingNext.pdf

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Elements of effective writing instruction for adolescents:

5. Writing Processors (Effect Size = 0.55): Students have access to computers/word processors in the writing process.

6. Sentence Combining (Effect Size = 0.50): Students take part in instructional activities that require the combination or embedding of simpler sentences (e.g., Noun-Verb-Object) to generate more advanced, complex sentences.

7. Prewriting (Effect Size = 0.32): Students learn to select, develop, or organize ideas to incorporate into their writing by participating in structured ‘pre-writing’ activities.

8. Inquiry Activities (Effect Size = 0.32): Students become actively engaged researchers, collecting and analyzing information to guide the ideas and content for writing assignments.

Source: Graham, S., & Perin, D. (2007). Writing next: Effective strategies to improve writing of adolescents in middle and high schools – A report to Carnegie Corporation of New York. Washington, DC Alliance for Excellent Education. Retrieved from http://www.all4ed.org/files/WritingNext.pdf

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Elements of effective writing instruction for adolescents:

9. Process Writing (Effect Size = 0.32): Writing instruction is taught in a ‘workshop’ format that “ stresses extended writing opportunities, writing for authentic audiences, personalized instruction, and cycles of writing” (Graham & Perin, 2007; p. 4).

10. Use of Writing Models (Effect Size = 0.25): Students read and discuss models of good writing and use them as exemplars for their own writing.

11. Writing to Learn Content (Effect Size = 0.23): The instructor incorporates writing activities as a means to have students learn content material.

Source: Graham, S., & Perin, D. (2007). Writing next: Effective strategies to improve writing of adolescents in middle and high schools – A report to Carnegie Corporation of New York. Washington, DC Alliance for Excellent Education. Retrieved from http://www.all4ed.org/files/WritingNext.pdf

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The Effect of Grammar Instruction as an Independent Activity“Grammar instruction in the studies reviewed [for the Writing Next report] involved the explicit and systematic teaching of the parts of speech and structure of sentences. The meta-analysis found an effect for this type of instruction for students across the full range of ability, but …surprisingly, this effect was negative…Such findings raise serious questions about some educators’ enthusiasm for traditional grammar instruction as a focus of writing instruction for adolescents….Overall, the findings on grammar instruction suggest that, although teaching grammar is important, alternative procedures, such as sentence combining, are more effective than traditional approaches for improving the quality of students’ writing.” p. 21

Source: Graham, S., & Perin, D. (2007). Writing next: Effective strategies to improve writing of adolescents in middle and high schools – A report to Carnegie Corporation of New York. Washington, DC Alliance for Excellent Education.

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Challenge: How Do Schools Stop the Use of ‘Zombie’ Instructional Practices?

“In their rush to promote use of evidence-based instructional practices under RTI… schools should not forget that research cuts both ways. It can illuminate new approaches to effectively teach struggling learners. But research also sometimes reveals instructional or intervention strategies that should be reformed or eliminated altogether. Despite the fact that educators may have developed a sentimental attachment to such outmoded practices, schools should provide the appropriate support to help these teachers to discard them and adopt more effective instructional tools. Otherwise, these obsolete, zombie methods of instruction and intervention threaten to linger on far past their expected termination date to continue to drag down student performance.”

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Source: Wright, J. (2010). Killing off ‘zombie' interventions: The need to root out ineffective instructional strategies. Retrieved from http://www.interventioncentral.org

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Question: How Does a School Use Research Information to Influence Classroom Practice?

•In this workshop, we reviewed recommendations from the Writing Next manual, a meta-analysis of effective writing instructional elements.

•How might your school use information sources like this to influence classroom practice?

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"The difference between the right word and the almost right word is the difference between lightning and the lightning bug."– Mark Twain

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"Your manuscript is both good and original. But the part that is good is not original, and the part that is original is not good."– Samuel Johnson

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Selected Writing Interventions

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Use Selective Proofreading With Highlighting of Errors

To prevent struggling writers from becoming overwhelmed by teacher proofreading corrections, select only 1 or 2 proofreading areas when correcting a writing assignment.1. Create a student ‘writing skills checklist’ that inventories key writing

competencies (e.g., grammar/syntax, spelling, vocabulary, etc.). 2. For each writing assignment, announce to students that you will

grade the assignment for overall content but will make proofreading corrections on only 1-2 areas chosen from the writing skills checklist. (Select different proofreading targets for each assignment matched to common writing weaknesses in your classroom.)

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Use Selective Proofreading With Highlighting of Errors: Cont.

3. To prevent cluttering the student’s paper with potentially discouraging teacher comments and editing marks:a. underline problems in the student’ text with a highlighter and b. number the highlighted errors sequentially at the left margin of

the student paper. c. write teacher comments on a separate feedback sheet to

explain the writing errors. Identify each comment with the matching error-number from the left margin of the student’s worksheet.

TIP: Have students use this method when proofreading their own text.

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1

1 Rewrite this run-on sentence as two separate sentences.

2

2 Not clear. Rewrite. Consider starting the sentence with ‘The concept of …’

Spelling; Run-on and incomplete

sentences

Mrs. Richman

Jimmy Smith Dec 1, 2006Selective Proofreading With Highlighting of Errors

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"A ratio of failures is built into the process of writing. The wastebasket has evolved for a reason."– Margaret Atwood

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Sentence CombiningStudents with poor writing skills often write sentences that lack ‘syntactic maturity’. Their sentences often follow a simple, stereotyped format. A promising approach to teach students use of diverse sentence structures is through sentence combining.

In sentence combining, students are presented with kernel sentences and given explicit instruction in how to weld these kernel sentences into more diverse sentence types either – by using connecting words to combine multiple sentences into one

or – by isolating key information from an otherwise superfluous

sentence and embedding that important information into the base sentence.

Sources: Saddler, B. (2005). Sentence combining: A sentence-level writing intervention. The Reading Teacher, 58, 468-471.

Strong, W. (1986). Creative approaches to sentence combining. Urbana, OL: ERIC Clearinghouse on Reading and Communication Skill & National Council of Teachers of English.

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Formatting Sentence Combining Examples

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Academic Interventions ‘Critical Components’ Checklist

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Academic Interventions ‘Critical Components’ Checklist

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Academic Interventions ‘Critical Components’ Checklist

This checklist summarizes the essential components of academic interventions. When preparing a student’s Tier 1, 2, or 3 academic intervention plan, use this document as a ‘pre-flight checklist’ to ensure that the academic intervention is of high quality, is sufficiently strong to address the identified student problem, is fully understood and supported by the teacher, and can be implemented with integrity. NOTE: While the checklist refers to the ‘teacher’ as the interventionist, it can also be used as a guide to ensure the quality of interventions implemented by non-instructional personnel, adult volunteers, parents, and peer (student) tutors.

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Allocating Sufficient Contact Time & Assuring Appropriate Student-Teacher RatioThe cumulative time set aside for an intervention and the amount of direct teacher contact are two factors that help to determine that intervention’s ‘strength’ (Yeaton & Sechrest, 1981).

Critical Item? Intervention Element Notes

Time Allocated. The time set aside for the intervention is appropriate for the type and level of student problem (Burns & Gibbons, 2008; Kratochwill, Clements & Kalymon, 2007). When evaluating whether the amount of time allocated is adequate, consider:Length of each intervention session.Frequency of sessions (e.g.., daily, 3 times per week)Duration of intervention period (e.g., 6 instructional weeks)

Student-Teacher Ratio. The student receives sufficient contact from the teacher or other person delivering the intervention to make that intervention effective. NOTE: Generally, supplemental intervention groups should be limited to 6-7 students (Burns & Gibbons, 2008).

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Matching the Intervention to the Student ProblemAcademic interventions are not selected at random. First, the student academic problem(s) is defined clearly and in detail. Then, the likely explanations for the academic problem(s) are identified to understand which intervention(s) are likely to help—and which should be avoided.Critical Item? Intervention Element Notes

Problem Definition. The student academic problem(s) to be addressed in the intervention are defined in clear, specific, measureable terms (Bergan, 1995; Witt, VanDerHeyden & Gilbertson, 2004). The full problem definition describes:Conditions. Describe the environmental conditions or task demands in place when the academic problem is observed. Problem Description. Describe the actual observable academic behavior in which the student is engaged. Include rate, accuracy, or other quantitative information of student performance.Typical or Expected Level of Performance. Provide a typical or expected performance criterion for this skill or behavior. Typical or expected academic performance can be calculated using a variety of sources,

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Matching the Intervention to the Student Problem (Cont.)Critical Item? Intervention Element Notes

Appropriate Target. Selected intervention(s) are appropriate for the identified student problem(s) (Burns, VanDerHeyden & Boice, 2008). TIP: Use the Instructional Hierarchy (Haring et al., 1978) to select academic interventions according to the four stages of learning:Acquisition. The student has begun to learn how to complete the target skill correctly but is not yet accurate in the skill. Interventions should improve accuracy.Fluency. The student is able to complete the target skill accurately but works slowly. Interventions should increase the student’s speed of responding (fluency) as well as to maintain accuracy.Generalization. The student may have acquired the target skill but does not typically use it in the full range of appropriate situations or settings. Or the student may confuse the target skill with ‘similar’ skills. Interventions should get the student to use the skill in the widest possible range of settings and situations, or to accurately discriminate between the target skill and ‘similar’ skills.Adaptation. The student is not yet able to modify or adapt an existing skill to fit novel task-demands or situations. Interventions should help the student to identify key concepts or elements from previously learned skills that can be adapted to the new demands or situations.

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Matching the Intervention to the Student Problem (Cont.)Critical Item? Intervention Element Notes

‘Can’t Do/Won’t Do’ Check. The teacher has determined whether the student problem is primarily a skill or knowledge deficit (‘can’t do’) or whether student motivation plays a main or supporting role in academic underperformance (‘wont do’). If motivation appears to be a significant factor contributing to the problem, the intervention plan includes strategies to engage the student (e.g., high interest learning activities; rewards/incentives; increased student choice in academic assignments, etc.) (Skinner, Pappas & Davis, 2005; Witt, VanDerHeyden & Gilbertson, 2004).

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Activity: Matching the Intervention to the Student Problem• Consider these critical aspects of academic intervention:

Clear and specific problem-identification statement (Conditions, Problem Description, Typical/Expected Level of Performance).

Appropriate intervention target (e.g., selected intervention is appropriately matched to Acquisition, Fluency, Generalization, or Adaptation phase of Instructional Hierarchy).

Can’t Do/Won’t Do Check (Clarification of whether motivation plays a significant role in student academic underperformance).

• What steps can your RTI Team and school take to ensure that each of these aspects is taken into consideration when planning interventions at Tier 1, 2, or 3?

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Incorporating Effective Instructional ElementsThese effective ‘building blocks’ of instruction are well-known and well-supported by the research. They should be considered when selecting or creating any academic intervention.Critical Item? Intervention Element Notes

Explicit Instruction. Student skills have been broken down “into manageable and deliberately sequenced steps” and the teacher provided“ overt strategies for students to learn and practice new skills” (Burns, VanDerHeyden & Boice, 2008, p.1153).

Appropriate Level of Challenge. The student experienced sufficient success in the academic task(s) to shape learning in the desired direction as well as to maintain student motivation (Burns, VanDerHeyden & Boice, 2008).

Active Engagement. The intervention ensures that the student is engaged in ‘active accurate responding’ (Skinner, Pappas & Davis, 2005).at a rate frequent enough to capture student attention and to optimize effective learning.

Performance Feedback. The student receives prompt performance feedback about the work completed (Burns, VanDerHeyden & Boice, 2008).

Maintenance of Academic Standards. If the intervention includes any accommodations to better support the struggling learner (e.g., preferential seating, breaking a longer assignment into smaller chunks), those accommodations do not substantially lower the academic standards against which the student is to be evaluated and are not likely to reduce the student’s rate of learning (Skinner, Pappas & Davis, 2005).

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Activity: Incorporating Effective Instructional Elements• Think about the effective instructional

elements reviewed in this workshop.

• How can your school assist teachers to ensure that effective instructional elements are included in academicinterventions?

Incorporating Effective Instructional ElementsCritical Item?

Intervention Element Notes

Explicit Instruction. Appropriate Level of Challenge. Active Engagement.. Performance Feedback.

Maintenance of Academic Standards.

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Verifying Teacher Understanding & Providing Teacher SupportThe teacher is an active agent in the intervention, with primary responsibility for putting it into practice in a busy classroom. It is important, then, that the teacher fully understands how to do the intervention, believes that he or she can do it, and knows whom to seek out if there are problems with the intervention.Critical Item? Intervention Element Notes

Teacher Responsibility. The teacher understands his or her responsibility to implement the academic intervention(s) with integrity.

Teacher Acceptability. The teacher states that he or she finds the academic intervention feasible and acceptable for the identified student problem.

Step-by-Step Intervention Script. The essential steps of the intervention are written as an ‘intervention script’--a series of clearly described steps—to ensure teacher understanding and make implementation easier (Hawkins, Morrison, Musti-Rao & Hawkins, 2008).

Intervention Training. If the teacher requires training to carry out the intervention, that training has been arranged.

Intervention Elements: Negotiable vs. Non-Negotiable. The teacher knows all of the steps of the intervention. Additionally, the teacher knows which of the intervention steps are ‘non-negotiable’ (they must be completed exactly as designed) and which are ‘negotiable’ (the teacher has some latitude in how to carry out those steps) (Hawkins, Morrison, Musti-Rao & Hawkins, 2008).

Assistance With the Intervention. If the intervention cannot be implemented as designed for any reason (e.g., student absence, lack of materials, etc.), the teacher knows how to get assistance quickly to either fix the problem(s) to the current intervention or to change the intervention.

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Activity: Verifying Teacher Understanding & Providing Teacher Support

In your teams:

• Review the checklist for verifying that teachers understand all elements of the intervention and actively support its use.

• How will your school ensure that teachers in Tier 1 will understand and support academic interventions designed to be implemented in the classroom?

Verifying Teacher Understanding & Providing Teacher SupportCritical Item? Intervention Element

Teacher Responsibility Teacher Acceptability. Step-by-Step Intervention Script. Intervention Training. Intervention Elements: Negotiable

vs. Non-Negotiable Assistance With the Intervention

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Documenting the Intervention & Collecting DataInterventions only have meaning if they are done within a larger data-based context. For example, interventions that lack baseline data, goal(s) for improvement, and a progress-monitoring plan are ‘fatally flawed’ (Witt, VanDerHeyden & Gilbertson, 2004).Critical Item? Intervention Element Notes

Intervention Documentation. The teacher understands and can manage all documentation required for this intervention (e.g., maintaining a log of intervention sessions, etc.).

Checkup Date. Before the intervention begins, a future checkup date is selected to review the intervention to determine if it is successful. Time elapsing between the start of the intervention and the checkup date should be short enough to allow a timely review of the intervention but long enough to give the school sufficient time to judge with confidence whether the intervention worked.

Baseline. Before the intervention begins, the teacher has collected information about the student’s baseline level of performance in the identified area(s) of academic concern (Witt, VanDerHeyden & Gilbertson, 2004).

Goal. Before the intervention begins, the teacher has set a specific goal for predicted student improvement to use as a minimum standard for success (Witt, VanDerHeyden & Gilbertson, 2004). The goal is the expected student outcome by the checkup date if the intervention is successful.

Progress-Monitoring. During the intervention, the teacher collects progress-monitoring data of sufficient quality and at a sufficient frequency to determine at the checkup date whether that intervention is successful (Witt, VanDerHeyden & Gilbertson, 2004).

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Activity: Documenting the Intervention & Collecting Data

In your teams:

• Consider the elements of intervention documentation, data collection, and data interpretation discussed here.

• What steps can your school take to make sure that data have a central focus when interventionsare planned and implemented?

Documenting the Intervention & Collecting DataCritical Item? Intervention Element Notes

Intervention Documentation.

Checkup Date.

Baseline.

Goal.

Progress-Monitoring.

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References

• Bergan, J. R. (1995). Evolution of a problem-solving model of consultation. Journal of Educational and Psychological Consultation, 6(2), 111-123.

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

• Burns, M. K., VanDerHeyden, A. M., & Boice, C. H. (2008). Best practices in intensive academic interventions. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp.1151-1162). Bethesda, MD: National Association of School Psychologists.

• Haring, N.G., Lovitt, T.C., Eaton, M.D., & Hansen, C.L. (1978). The fourth R: Research in the classroom. Columbus, OH: Charles E. Merrill Publishing Co.

• Hawkins, R. O., Morrison, J. Q., Musti-Rao, S., & Hawkins, J. A. (2008). Treatment integrity for academic interventions in real- world settings. School Psychology Forum, 2(3), 1-15.

• Kratochwill, T. R., Clements, M. A., & Kalymon, K. M. (2007). Response to intervention: Conceptual and methodological issues in implementation. In Jimerson, S. R., Burns, M. K., & VanDerHeyden, A. M. (Eds.), Handbook of response to intervention: The science and practice of assessment and intervention. New York: Springer.

• Skinner, C. H., Pappas, D. N., & Davis, K. A. (2005). Enhancing academic engagement: Providing opportunities for responding and influencing students to choose to respond. Psychology in the Schools, 42, 389-403.

• Witt, J. C., VanDerHeyden, A. M., & Gilbertson, D. (2004). Troubleshooting behavioral interventions. A systematic process for finding and eliminating problems. School Psychology Review, 33, 363-383.

• Yeaton, W. M. & Sechrest, L. (1981). Critical dimensions in the choice and maintenance of successful treatments: Strength, integrity, and effectiveness. Journal of Consulting and Clinical Psychology, 49, 156-167.

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National Mathematics Advisory Panel Report13 March 2008

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Math Advisory Panel Report at:

http://www.ed.gov/mathpanel

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2008 National Math Advisory Panel Report: Recommendations• “The areas to be studied in mathematics from pre-kindergarten through

eighth grade should be streamlined and a well-defined set of the most important topics should be emphasized in the early grades. Any approach that revisits topics year after year without bringing them to closure should be avoided.”

• “Proficiency with whole numbers, fractions, and certain aspects of geometry and measurement are the foundations for algebra. Of these, knowledge of fractions is the most important foundational skill not developed among American students.”

• “Conceptual understanding, computational and procedural fluency, and problem solving skills are equally important and mutually reinforce each other. Debates regarding the relative importance of each of these components of mathematics are misguided.”

• “Students should develop immediate recall of arithmetic facts to free the “working memory” for solving more complex problems.”

Source: National Math Panel Fact Sheet. (March 2008). Retrieved on March 14, 2008, from http://www.ed.gov/about/bdscomm/list/mathpanel/report/final-factsheet.html

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An RTI Challenge: Limited Research to Support Evidence-Based Math Interventions

“… in contrast to reading, core math programs that are supported by research, or that have been constructed according to clear research-based principles, are not easy to identify. Not only have exemplary core programs not been identified, but also there are no tools available that we know of that will help schools analyze core math programs to determine their alignment with clear research-based principles.” p. 459

Source: Clarke, B., Baker, S., & Chard, D. (2008). Best practices in mathematics assessment and intervention with elementary students. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp. 453-463).

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Who is At Risk for Poor Math Performance?: A Proactive Stance

“…we use the term mathematics difficulties rather than mathematics disabilities. Children who exhibit mathematics difficulties include those performing in the low average range (e.g., at or below the 35th percentile) as well as those performing well below average…Using higher percentile cutoffs increases the likelihood that young children who go on to have serious math problems will be picked up in the screening.” p. 295

Source: Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38, 293-304.

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The Elements of Mathematical Proficiency: What the Experts Say…

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Source: National Research Council. (2002). Helping children learn mathematics. Mathematics Learning Study Committee, J. Kilpatrick & J. Swafford, Editors, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.

5 Strands of Mathematical Proficiency

1. Understanding

2. Computing

3. Applying

4. Reasoning

5. Engagement

5 Big Ideas in Beginning Reading

1. Phonemic Awareness

2. Alphabetic Principle

3. Fluency with Text

4. Vocabulary

5. ComprehensionSource: Big ideas in beginning reading. University of Oregon. Retrieved September 23, 2007, from http://reading.uoregon.edu/index.php

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Five Strands of Mathematical Proficiency1. Understanding: Comprehending mathematical concepts,

operations, and relations--knowing what mathematical symbols, diagrams, and procedures mean.

2. Computing: Carrying out mathematical procedures, such as adding, subtracting, multiplying, and dividing numbers flexibly, accurately, efficiently, and appropriately.

3. Applying: Being able to formulate problems mathematically and to devise strategies for solving them using concepts and procedures appropriately.

Source: National Research Council. (2002). Helping children learn mathematics. Mathematics Learning Study Committee, J. Kilpatrick & J. Swafford, Editors, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.

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Five Strands of Mathematical Proficiency (Cont.)

4. Reasoning: Using logic to explain and justify a solution to a problem or to extend from something known to something less known.

5. Engaging: Seeing mathematics as sensible, useful, and doable—if you work at it—and being willing to do the work.

Source: National Research Council. (2002). Helping children learn mathematics. Mathematics Learning Study Committee, J. Kilpatrick & J. Swafford, Editors, Center for Education, Division of Behavioral and Social Sciences and Education. Washington, DC: National Academy Press.

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Five Strands of Mathematical

Proficiency (NRC, 2002)1. Understanding: Comprehending mathematical concepts,

operations, and relations--knowing what mathematical symbols, diagrams, and procedures mean.

2. Computing: Carrying out mathematical procedures, such as adding, subtracting, multiplying, and dividing numbers flexibly, accurately, efficiently, and appropriately.

3. Applying: Being able to formulate problems mathematically and to devise strategies for solving them using concepts and procedures appropriately.

4. Reasoning: Using logic to explain and justify a solution to a problem or to extend from something known to something less known.

5. Engaging: Seeing mathematics as sensible, useful, and doable—if you work at it—and being willing to do the work.

Table Activity: Evaluate Your School’s Math Proficiency…

• As a group, review the National Research Council ‘Strands of Math Proficiency’.

• Which strand do you feel that your school / curriculum does the best job of helping students to attain proficiency?

• Which strand do you feel that your school / curriculum should put the greatest effort to figure out how to help students to attain proficiency?

• Be prepared to share your results.

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Three General Levels of Math Skill Development (Kroesbergen & Van Luit, 2003)

As students move from lower to higher grades, they move through levels of acquisition of math skills, to include:

• Number sense• Basic math operations (i.e., addition, subtraction,

multiplication, division)• Problem-solving skills: “The solution of both verbal

and nonverbal problems through the application of previously acquired information” (Kroesbergen & Van Luit, 2003, p. 98)

Source: Kroesbergen, E., & Van Luit, J. E. H. (2003). Mathematics interventions for children with special educational needs. Remedial and Special Education, 24, 97-114..

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Benefits of Automaticity of ‘Arithmetic Combinations’ (Gersten, Jordan, & Flojo, 2005)

• There is a strong correlation between poor retrieval of arithmetic combinations (‘math facts’) and global math delays

• Automatic recall of arithmetic combinations frees up student ‘cognitive capacity’ to allow for understanding of higher-level problem-solving

• By internalizing numbers as mental constructs, students can manipulate those numbers in their head, allowing for the intuitive understanding of arithmetic properties, such as associative property and commutative property

Source: Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38, 293-304.

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How much is 3 + 8?: Strategies to Solve…Least efficient strategy: Count out and group 3 objects; count out and group 8 objects; count all objects:

+ =11

More efficient strategy: Begin at the number 3 and ‘count up’ 8 more digits (often using fingers for counting): 3 + 8More efficient strategy: Begin at the number 8 (larger number) and ‘count up’ 3 more digits: 8 + 3Most efficient strategy: ‘3 + 8’ arithmetic combination is stored in memory and automatically retrieved: Answer = 11

Source: Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38, 293-304.

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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.

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Math Interventions

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Math Intervention: Tier I or II: Elementary & Secondary: Self-Administered Arithmetic Combination 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.

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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

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Self-Administered Arithmetic Combination Drills…

No Reward

Reward GivenReward GivenReward Given

No RewardNo Reward

Reward Given

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Cover-Copy-Compare: Math Computational Fluency-Building Intervention

The student is given sheet with correctly completed math problems in left column and index card.

For each problem, the student:– studies the model– covers the model with index card– copies the problem from memory– solves the problem– uncovers the correctly completed model to check answer

Source: Skinner, C.H., Turco, T.L., Beatty, K.L., & Rasavage, C. (1989). Cover, copy, and compare: A method for increasing multiplication performance. School Psychology Review, 18, 412-420.

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Math Computation: Problem Interspersal Technique• The teacher first identifies the range of ‘challenging’ problem-types

(number problems appropriately matched to the student’s current instructional level) that are to appear on the worksheet.

• Then the teacher creates a series of ‘easy’ problems that the students can complete very quickly (e.g., adding or subtracting two 1-digit numbers). The teacher next prepares a series of student math computation worksheets with ‘easy’ computation problems interspersed at a fixed rate among the ‘challenging’ problems.

• If the student is expected to complete the worksheet independently, ‘challenging’ and ‘easy’ problems should be interspersed at a 1:1 ratio (that is, every ‘challenging’ problem in the worksheet is preceded and/or followed by an ‘easy’ problem).

• If the student is to have the problems read aloud and then asked to solve the problems mentally and write down only the answer, the items should appear on the worksheet at a ratio of 3 ‘challenging’ problems for every ‘easy’ one (that is, every 3 ‘challenging’ problems are preceded and/or followed by an ‘easy’ one).

Source: Hawkins, J., Skinner, C. H., & Oliver, R. (2005). The effects of task demands and additive interspersal ratios on fifth-grade students’ mathematics accuracy. School Psychology Review, 34, 543-555..

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Interpreting Math Graphics: A Reading Comprehension Intervention

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Housing Bubble Graphic:

New York Times23 September 2007

Housing Price Index = 100 in 1987

Housing Price Index = 171 in 2005

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Classroom Challenges in Interpreting Math Graphics

When encountering math graphics, students may :

• expect the answer to be easily accessible when in fact the graphic may expect the reader to interpret and draw conclusions

• be inattentive to details of the graphic• treat irrelevant data as ‘relevant’• not pay close attention to questions before turning to

graphics to find the answer• fail to use their prior knowledge both to extend the

information on the graphic and to act as a possible ‘check’ on the information that it presents.

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Using Question-Answer Relationships (QARs) to Interpret Information from Math Graphics

Students can be more savvy interpreters of graphics in applied math problems by applying the Question-Answer Relationship (QAR) strategy. Four Kinds of QAR Questions:

• RIGHT THERE questions are fact-based and can be found in a single sentence, often accompanied by 'clue' words that also appear in the question.

• THINK AND SEARCH questions can be answered by information in the text but require the scanning of text and making connections between different pieces of factual information.

• AUTHOR AND YOU questions require that students take information or opinions that appear in the text and combine them with the reader's own experiences or opinions to formulate an answer.

• ON MY OWN questions are based on the students' own experiences and do not require knowledge of the text to answer.

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Using Question-Answer Relationships (QARs) to Interpret Information from Math Graphics: 4-Step Teaching Sequence

1. DISTINGUISHING DIFFERENT KINDS OF GRAPHICS. Students are taught to differentiate between common types of graphics: e.g., table (grid with information contained in cells), chart (boxes with possible connecting lines or arrows), picture (figure with labels), line graph, bar graph.

Students note significant differences between the various graphics, while the teacher records those observations on a wall chart. Next students are given examples of graphics and asked to identify which general kind of graphic each is.

Finally, students are assigned to go on a ‘graphics hunt’, locating graphics in magazines and newspapers, labeling them, and bringing to class to review.

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Using Question-Answer Relationships (QARs) to Interpret Information from Math Graphics: 4-Step Teaching Sequence

2. INTERPRETING INFORMATION IN GRAPHICS. Students are paired off, with stronger students matched with less strong ones. The teacher spends at least one session presenting students with examples from each of the graphics categories.

The presentation sequence is ordered so that students begin with examples of the most concrete graphics and move toward the more abstract: Pictures > tables > bar graphs > charts > line graphs.

At each session, student pairs examine graphics and discuss questions such as: “What information does this graphic present? What are strengths of this graphic for presenting data? What are possible weaknesses?”

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Using Question-Answer Relationships (QARs) to Interpret Information from Math Graphics: 4-Step Teaching Sequence

3. LINKING THE USE OF QARS TO GRAPHICS. Students are given a series of data questions and correct answers, with each question accompanied by a graphic that contains information needed to formulate the answer.

Students are also each given index cards with titles and descriptions of each of the 4 QAR questions: RIGHT THERE, THINK AND SEARCH, AUTHOR AND YOU, ON MY OWN.

Working in small groups and then individually, students read the questions, study the matching graphics, and ‘verify’ the answers as correct. They then identify the type question being asked using their QAR index cards.

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Using Question-Answer Relationships (QARs) to Interpret Information from Math Graphics: 4-Step Teaching Sequence

4. USING QARS WITH GRAPHICS INDEPENDENTLY. When students are ready to use the QAR strategy independently to read graphics, they are given a laminated card as a reference with 6 steps to follow:

A. Read the question,

B. Review the graphic,

C. Reread the question,

D. Choose a QAR,

E. Answer the question, and

F. Locate the answer derived from the graphic in the answer choices offered.

Students are strongly encouraged NOT to read the answer choices offered until they have first derived their own answer, so that those choices don’t short-circuit their inquiry.

Source: Mesmer, H.A.E., & Hutchins, E.J. (2002). Using QARs with charts and graphs. The Reading Teacher, 56, 21–27.

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Developing Student Metacognitive Abilities

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Importance of Metacognitive Strategy Use…“Metacognitive processes focus on self-awareness of cognitive knowledge that is presumed to be necessary for effective problem solving, and they direct and regulate cognitive processes and strategies during problem solving…That is, successful problem solvers, consciously or unconsciously (depending on task demands), use self-instruction, self-questioning, and self-monitoring to gain access to strategic knowledge, guide execution of strategies, and regulate use of strategies and problem-solving performance.” p. 231

Source: Montague, M. (1992). The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. Journal of Learning Disabilities, 25, 230-248.

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Elements of Metacognitive Processes

“Self-instruction helps students to identify and direct the problem-solving strategies prior to execution. Self-questioning promotes internal dialogue for systematically analyzing problem information and regulating execution of cognitive strategies. Self-monitoring promotes appropriate use of specific strategies and encourages students to monitor general performance. [Emphasis added].” p. 231

Source: Montague, M. (1992). The effects of cognitive and metacognitive strategy instruction on the mathematical problem solving of middle school students with learning disabilities. Journal of Learning Disabilities, 25, 230-248.

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Combining Cognitive & Metacognitive Strategies to Assist Students With Mathematical Problem Solving

Solving an advanced math problem independently requires the coordination of a number of complex skills. The following strategies combine both cognitive and metacognitive elements (Montague, 1992; Montague & Dietz, 2009). First, the student is taught a 7-step process for attacking a math word problem (cognitive strategy). Second, the instructor trains the student to use a three-part self-coaching routine for each of the seven problem-solving steps (metacognitive strategy).

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Cognitive Portion of Combined Problem Solving Approach

In the cognitive part of this multi-strategy intervention, the student learns an explicit series of steps to analyze and solve a math problem. Those steps include:

1. Reading the problem. The student reads the problem carefully, noting and attempting to clear up any areas of uncertainly or confusion (e.g., unknown vocabulary terms).

2. Paraphrasing the problem. The student restates the problem in his or her own words.3. ‘Drawing’ the problem. The student creates a drawing of the problem, creating a

visual representation of the word problem.4. Creating a plan to solve the problem. The student decides on the best way to solve

the problem and develops a plan to do so.5. Predicting/Estimating the answer. The student estimates or predicts what the answer

to the problem will be. The student may compute a quick approximation of the answer, using rounding or other shortcuts.

6. Computing the answer. The student follows the plan developed earlier to compute the answer to the problem.

7. Checking the answer. The student methodically checks the calculations for each step of the problem. The student also compares the actual answer to the estimated answer calculated in a previous step to ensure that there is general agreement between the two values.

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Metacognitive Portion of Combined Problem Solving Approach

The metacognitive component of the intervention is a three-part routine that follows a sequence of ‘Say’, ‘Ask, ‘Check’. For each of the 7 problem-solving steps reviewed above:

• The student first self-instructs by stating, or ‘saying’, the purpose of the step (‘Say’).

• The student next self-questions by ‘asking’ what he or she intends to do to complete the step (‘Ask’).

• The student concludes the step by self-monitoring, or ‘checking’, the successful completion of the step (‘Check’).

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Combined Cognitive & Metacognitive Elements of Strategy

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Applied Problems: Pop QuizQ: “To move their armies, the Romans built over 50,000 miles of roads. Imagine driving all those miles! Now imagine driving those miles in the first gasoline-driven car that has only three wheels and could reach a top speed of about 10 miles per hour. For safety's sake, let's bring along a spare tire. As you drive the 50,000 miles, you rotate the spare with the other tires so that all four tires get the same amount of wear. Can you figure out how many miles of wear each tire accumulates?”

Source: The Math Forum @ Drexel: Critical Thinking Puzzles/Spare My Brain. Retrieved from http://mathforum.org/k12/k12puzzles/critical.thinking/puzz2.html

7-Step Problem-Solving:Process

1. Reading the problem. 2. Paraphrasing the

problem.3. ‘Drawing’ the

problem. 4. Creating a plan to

solve the problem.5. Predicting/Estimat-

ing the answer.6. Computing the

answer. 7. Checking the answer.

A: “Since the four wheels of the three-wheeled car share the journey equally, simply take three-fourths of the total distance (50,000 miles) and you'll get 37,500 miles for each tire.”

Directions: As a team, read the following problem. At your tables, apply the 7-step problem-solving (cognitive) strategy to complete the problem. As you complete each step of the problem, apply the ‘Say-Ask-Check’ metacognitive sequence. Try to complete the entire 7 steps within the time allocated for this exercise.

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Secondary Group-Based Math Intervention

Example

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Identifying and Measuring Complex Academic Problems at the Middle and High School Level:

Discrete Categorization• Students at the secondary level can present with

a range of concerns that interfere with academic success.

• One frequent challenge for these students is the need to reduce complex global academic goals into discrete sub-skills that can be individually measured and tracked over time.

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Discrete Categorization: A Strategy for Assessing Complex, Multi-Step Student Academic TasksDefinition of Discrete Categorization: ‘Listing a number of behaviors and checking off whether they were performed.’ (Kazdin, 1989, p. 59).

• Approach allows educators to define a larger ‘behavioral’ goal for a student and to break that goal down into sub-tasks. (Each sub-task should be defined in such a way that it can be scored as ‘successfully accomplished’ or ‘not accomplished’.)

• The constituent behaviors that make up the larger behavioral goal need not be directly related to each other. For example, ‘completed homework’ may include as sub-tasks ‘wrote down homework assignment correctly’ and ‘created a work plan before starting homework’

Source: Kazdin, A. E. (1989). Behavior modification in applied settings (4th ed.). Pacific Gove, CA: Brooks/Cole..

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Discrete Categorization Example: Math Study SkillsGeneral Academic Goal: Improve Tina’s Math Study Skills

Tina was struggling in her mathematics course because of poor study skills. The RTI Team and math teacher analyzed Tina’s math study skills and decided that, to study effectively, she needed to:

Check her math notes daily for completeness. Review her math notes daily. Start her math homework in a structured school setting. Use a highlighter and ‘margin notes’ to mark questions or areas of

confusion in her notes or on the daily assignment. Spend sufficient ‘seat time’ at home each day completing homework. Regularly ask math questions of her teacher.

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Discrete Categorization Example: Math Study SkillsGeneral Academic Goal: Improve Tina’s Math Study Skills

The RTI Team—with student and math teacher input—created the following intervention plan. The student Tina will:

Obtain a copy of class notes from the teacher at the end of each class. Check her daily math notes for completeness against a set of teacher

notes in 5th period study hall. Review her math notes in 5th period study hall. Start her math homework in 5th period study hall. Use a highlighter and ‘margin notes’ to mark questions or areas of

confusion in her notes or on the daily assignment. Enter into her ‘homework log’ the amount of time spent that evening

doing homework and noted any questions or areas of confusion. Stop by the math teacher’s classroom during help periods (T & Th only)

to ask highlighted questions (or to verify that Tina understood that week’s instructional content) and to review the homework log.

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Discrete Categorization Example: Math Study SkillsAcademic Goal: Improve Tina’s Math Study SkillsGeneral measures of the success of this intervention include (1) rate of

homework completion and (2) quiz & test grades.To measure treatment fidelity (Tina’s follow-through with sub-tasks of the

checklist), the following strategies are used : Approached the teacher for copy of class notes. Teacher observation. Checked her daily math notes for completeness; reviewed math notes,

started math homework in 5th period study hall. Student work products; random spot check by study hall supervisor.

Used a highlighter and ‘margin notes’ to mark questions or areas of confusion in her notes or on the daily assignment. Review of notes by teacher during T/Th drop-in period.

Entered into her ‘homework log’ the amount of time spent that evening doing homework and noted any questions or areas of confusion. Log reviewed by teacher during T/Th drop-in period.

Stopped by the math teacher’s classroom during help periods (T & Th only) to ask highlighted questions (or to verify that Tina understood that week’s instructional content). Teacher observation; student sign-in.

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Assessing Intervention Integrity

Jim Wrightwww.interventioncentral.org

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Why Assess Intervention Integrity?

When a struggling student fails to respond adequately to a series of evidence-based interventions, that student is likely to face significant and potentially negative consequences, such as failing grades, long-term suspension from school, or even placement in special education.

It is crucial, then, that the school monitor the integrity with which educators implement each intervention plan so that it can confidently rule out poor or limited intervention implementation of the intervention as a possible explanation for any student’s ‘non-response’.

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Intervention Integrity Check: Direct Observation

Intervention integrity is best assessed through direct observation (Roach & Elliott, 2008). – The key steps of the intervention are defined and

formatted as an observational checklist. – An observer watches as the intervention is

conducted and checks off on the checklist those steps that were correctly carried out. The observer then computes the percentage of steps correctly carried out.

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Limitations of Direct Observation as an Intervention Integrity Check

• Direct observations are time-consuming to conduct. • Teachers who serve as interventionists may at least

initially regard observations of their intervention implementation as evaluations of their job performance, rather than as a child-focused RTI “quality check”.

• An intervention-implementation checklist typically does not distinguish between--or differentially weight--those intervention steps that are more important from those that are less so. If two teachers implement the same 10-step intervention plan, for example, with one instructor omitting a critical step and the other omitting a fairly trivial step, both can still attain the same implementation score of steps correctly completed.

Source: Gansle, K. A., & Noell, G. H. (2007). The fundamental role of intervention implementation in assessing response to intervention. In S. R. Jimerson, M. K. Burns, & A. M. VanDerHeyden (Eds.), Response to intervention: The science and practice of assessment and intervention (pp. 244-251).

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Intervention Script Builder

‘Yes/No’ Step-by-Step

Intervention Check

Each Step Marked

‘Negotiable or ‘Non-

Negotiable’

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Supplemental Methods to Collect Data About Intervention Integrity

Teacher Self-Ratings: As a form of self-monitoring, directing interventionists to rate the integrity of their own interventions may prompt higher rates of compliance (e.g., Kazdin, 1989). However, because teacher self-ratings tend to be ‘upwardly biased (Gansle & Noell, 2007, p. 247), they should not be relied upon as the sole rating of intervention integrity. One suggestion for collecting regular teacher reports on intervention implementation in a convenient manner is to use Daily Behavior Reports (DBRs; Chafouleas, Riley-Tillman,, & Sugai, 2007).

Sources: Chafouleas, S., Riley-Tillman, T.C., & Sugai, G. (2007). School-based behavioral assessment: Informing intervention and instruction. New York: Guilford Press.Gansle, K. A., & Noell, G. H. (2007). The fundamental role of intervention implementation in assessing response to intervention. In S. R. Jimerson, M. K. Burns, & A. M. VanDerHeyden (Eds.), Response to intervention: The science and practice of assessment and intervention (pp. 244-251).Kazdin, A. E. (1989). Behavior modification in applied settings (4th ed.). Pacific Gove, CA: Brooks/Cole..

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Intervention Contact Log

Teacher Intervention Integrity

Self-Rating

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Supplemental Methods to Collect Data About Intervention Integrity

Intervention Permanent Products: If an intervention plan naturally yields permanent products (e.g., completed scoring sheets, lists of spelling words mastered, behavioral sticker charts), these products can be periodically collected and evaluated as another indicator of intervention integrity (Gansle & Noell, 2007).

Source:Gansle, K. A., & Noell, G. H. (2007). The fundamental role of intervention implementation in assessing response to intervention. In S. R. Jimerson, M. K. Burns, & A. M. VanDerHeyden (Eds.), Response to intervention: The science and practice of assessment and intervention (pp. 244-251).

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Intervention Integrity: Verify Through a Mix of Information Sources

Schools should consider monitoring intervention integrity through a mix of direct and indirect means, including direct observation and permanent products (Gansle & Noell, 2007), as well as interventionist self-ratings (Roach & Elliott, 2008).

Source: Gansle, K. A., & Noell, G. H. (2007). The fundamental role of intervention implementation in assessing response to intervention. In S. R. Jimerson, M. K. Burns, & A. M. VanDerHeyden (Eds.), Response to intervention: The science and practice of assessment and intervention (pp. 244-251).Roach, A. T., & Elliott, S. N. (2008). Best practices in facilitating and evaluating intervention integrity. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology V (pp.195-208).

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Team Activity: Measuring ‘Intervention Follow-Through’

At your table:

• Brainstorm ways that your RTI Team will use to measure intervention integrity for math and writing interventions.

• What preparations are necessary to introduce these methods for measuring ‘intervention follow-through’ to your faculty?