Final Math
description
Transcript of Final Math
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Mathematics
Including Technology on the MTSS Continuum: Solutions for Practice
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Agenda for Today
Consider MTSS - Overview– Connection to Resources– Connection to Elementary/Middle/High -
What we Know
Tiers and Technology– Structuring technology considerations– Technology-based solutions
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Who am I?
Associate Professor
Father of Four
Who are you?
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MTSS Primer
MTSS stands for?
There are _____ tiers?
Three critical features of MTSS include:
1. ___
2. ___
3. ___
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Three Models (Uses) of MTSS
Prediction & Prevention– prediction of at-risk students and preventing students from
falling behind
Remediation– intervention for students with academic or behavioral
difficulties
Disability Assessment– an intensive intervention test that is one component in the
SLD determination process
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Critical Elements of MTSS
Implementation of a differentiated curriculum with different instructional methods
Two or more tiers of increasingly intense, scientific, research-based interventions
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Critical Elements of MTSS
Individual problem-solving model or standardized intervention protocol for intervention tiers (possibly in combination)
Progress monitoring to assess entire class progress and individual student progress
Explicit decision rules for assessing learners’ progress (e.g., level and/or rate)
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What Does MTSS Implementation Look Like?
Students receive high-quality, research-based instruction by qualified staff in their general education setting (primary intervention)
General education instructors and staff assume an active role in students’ assessment in that curriculum
School staff conduct universal screening of (a) academics and (b) behavior (> 1/yr)
School staff implement specific, research-based interventions to address the students’ difficulties
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Core of MTSS
Please list three research-based practices that you use across the course of a week?– Describe it?– How do you know it is evidence-based?
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Do we Teach to Learning Styles?
What Type of Learner Are You?I like to:– Hear it…– See it…– Touch it…– Read it…– Experience it…
What is your Learning Style?
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Learning Styles - Research-based?
Structure experiences based on the type of learner we believe our students to be…– Offer more visual experiences because we have a
class of visual learners…– Hands-on experiences for those tactile learners…– Auditory experiences for those that learn best
through listening…
Examples?
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MTSS @ the Middle/High School
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Why the Need for MTSS?
School Implications for Mathematics
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Implications - Needs
Literacy
MathematicsBehavior
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Identify Challenges and Solutions
A Synopsis of a Synthesis of Empirical Research on Teaching Mathematics to Low-Achieving Students Mathematics Instruction for Students with Learning Disabilities or Difficultly Learning MathematicsResponse to Intervention: The Future for Secondary Schools Part I & IIIES Practice Guide for Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle SchoolsMeeting the Needs of Significantly Struggling Learners in HS: A Look at Approaches to Tiered Intervention
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Seven Effective Instructional Practices
The Final Report of the National Mathematics Advisory
Panel (National Mathematics Advisory Panel, 2008)
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Recommendation 1
Teach students using explicit instruction on a regular basis.– Clear modeling of the solutions specific to the problem
– Thinking the specific steps aloud during modeling
– Presenting multiple examples of the problem and applying the solution to the problems, and
– Providing immediate corrective feedback to the students on their accuracy
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Recommendation 2
Teach students using multiple instructional examples– For example, fractions and algebraic
equations can be taught first with concrete examples, then with pictorial representations, and finally in an abstract manner.
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Recommendation 3
Have students verbalize decisions and solutions to a math problem– Verbalize specific steps– Think outloud
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Recommendation 4
Teach students to visually represent the information in the math problem.– Visual combined with explicit instruction– Visuals for a specific problem– Teacher and the student uses the visual
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Recommendation 5
Teach students to solve problems using multiple/heuristic strategies.– Exemplifies a generic approach for solving
a problem• Read the problem• Highlight the key words• Solve the problems• Check your work
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Recommendation 6
Provide ongoing formative assessment data and feedback to teachers.– Progress– Suggestions to alter instruction
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Recommendation 7
Provide peer-assisted instruction to students– Cross age peer tutoring is more effective – Within class fall short of the level of
explicitness necessary to effectively help students with learning challenges progress.
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Recommendation - MTSS
Interventions should include instruction on solving word problems that is based on common underlying structures.– Explicit– Systematic– Connections between known, familiar word
problems and unfamiliar, new problems.
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Recommendation - MTSS
Teach students about the structure of various problem types, how to categorize problems based on structure, and how to determine appropriate solutions for each problem type.
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Recommendations - MTSS
Intervention materials should include opportunities for students to work with visual representations of mathematical ideas and interventionists should be proficient in the use of visual representation of mathematical ideas.
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Recommendation
Monitor progress of students receiving supplemental instruction and other students who are at risk.
Include motivational strategies in tier 2 and 3 interventions
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Brief Look - Textbooks/Reading
History
MathematicsScience
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Math - Text - Expectations
Understand and apply word problemsUnderstand and apply graphic illustrationsAbility to understand how book is structured and thus to useTo use the text to become independent learners in respect to mathematicsComprehend and apply data
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Math - Text - Expectations
Need to offer information within real world contextNeed explicit and repeated instruction on specific language and form of mathematics
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KSBE Goal/Objectives:
Helping all students meet or exceed academic standards– Designing/Redesigning the educational system
to meet our students’ changing needs• Intervening early – Disabled or Disadvantaged
– Proving an effective teachers in every classroom
– Providing visionary leaders– Improving communication with all groups
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What is MTSS?
Response to Intervention
Early Intervening
School Improvement
System Design/Redesign
All Students Achieve
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• More intense supplemental targeted skill interventions• Customized interventions• Frequent progress monitoring to guide intervention design
Kansas Multi-Tiered System of Support (MTSS)Kansas Multi-Tiered System of Support (MTSS)
• Student centered planning
• Customized function-based interventions• Frequent progress monitoring to guide intervention design
AcademicsAcademicsBehaviorBehavior
KSDE - July 2007 Draft
• All students• Evidence-based core curriculum & instruction• Assessment system and data-based decision making
• All students, All settings
• Positive behavioral expectations explicitly taught and reinforced• Consistent approach to discipline• Assessment system and data-based decision making
• Supplemental targeted function-based interventions• Small groups or individual support• Frequent progress monitoring to guide intervention design
• Supplemental targeted skill interventions • Small groups• Frequent progress monitoring to guide intervention
design
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Primary Intervention (~80%)School-/Classroom-Wide Systems for All Students,
Staff, and Settings
Secondary Intervention (~15%)Specialized Group
Systems for Students with At-Risk Performance
Tertiary Intervention (~5%)Specialized Individualized
Systems for Students with Intensive Needs
~80% of Students
~15%
~5%
Continuum of School-Wide Support
Adapted from”What is School-Wide PBS?”
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Part of the Solution - MTSS
Planning teams– Scheduling intervention– Scheduling interaction
• Need for collaboration skills
– Capacity building– Collaboration
Considering data and the continued use of data driven decisions
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Activity Time
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MTSS Interventions
Let’s take a few minutes and consider the interventions we are currently using or considering:– Tier One– Tier Two– Tier Three
What are some?What is the Research behind these interventions?
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MTSS Resources on the Web
Best Evidence Encyclopedia (B.E.E.)This website offers
reliable, unbiased information onhigh-qualityevaluationsof educationalprograms.
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What We Know
What Works Clearinghouse– ies.ed.gov/ncee/wwc– Institute of Education Science’s Database
sharing what we know about related research specific to standards and the research arm of NCLB.
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RtI Action Network
A program of the National Center for Learning Disabilities Offers a guide educators and families in the large-scale implementation of RTIAccess research reports– How to tips– Temperature of what is happening in the
field
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National Center on RtI
Technical assistance to states and districts and building the capacity of states to assist districts in implementing proven models for RTI.Reports– Products for consideration– Evidence-based practices for High School– Considerations for implementation
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NCTM Research
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What We Know
Resources - Application Tomorrow– Math and Reading Help– http://math-and-reading-help-for-kids.org– LD Online– http://www.ldonline.org/indepth/math– Intervention Central– http://www.interventioncentral.org/
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RtI - Tutorials
http://iris.peabody.vanderbilt.edu
The IRIS Center– RtI - An Overview– RtI - Assessment– RtI - Reading Instruction– RtI - Putting it All
Together
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Progress Monitoring
National Center on Progress Monitoring– Tools for comparison– Tools for understanding ways to complete– Resources for application
Teacher
Family
Administrator
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Special Connections
CBM Module
Instructional Practices
Behavioral Interventions
http://www.specialconnections.ku.edu
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How do we Structure our Interventions?
Framework for Consideration
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Principle One
Supporting Recognition Learning– Provide multiple examples– Highlight critical features– Provide multiple media formats– Support background contexts
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Some Examples
Reading– Readplease.com– Texthelp.com
Setting an Anchor– http://streaming.discoveryeducation.com/
Representing Material– http://nlvm.usu.edu/en/NAV/vlibrary.html
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Principle Two
Support Strategic Learning– Provide flexible models of skilled
performance – Provide opportunities to practice with
supports – Provide ongoing, relevant feedback – Offer flexible opportunities for
demonstrating skill
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Some Examples
Practice– http://www.inspiration.com
Skill demonstration– Microsoft’s PPT - Star Wars– Inspire Data– Apple’s - iMovie– Microsoft’s Movie Maker– PhotoStory
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Principle Three
Support Affective Learning - Provide alternative means for engagement– Offer choices of content and tools – Offer adjustable levels of challenge – Offer choices of rewards – Offer choices of learning context
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Some Examples
Software Products - Adjustable levels– http://www.techmatrix.org/– Type to Learn
Learning context– Hands on– Connect to previous understanding
Choice of Rewards– What makes you tick?
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UDL Toolkit
http://udltechtoolkit.wikispaces.comhttp://readilyaccessibletools.wikispaces.com/
– Learn more about UDL
– UDL-based solutions tied to reading, organization, writing, etc.
– Wikis are free to all of us
• Disseminate information
• Demonstrate knowledge
• Communicate with parents/students/general community
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Technology-based Solutions
Bringing UDL to Life
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Graphic Organizers
Teaching Students Math Problem-solving Through Graphic
Representations
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Graphic Organizers
Kidspiration/Inspiration
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Graphics - Schema
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Graphics - Schema
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Graphics - Schema
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Visual Representation
A Few Examples
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Visual Considerations - Resources
Discovery Learning– Anchor the Learning– Videos– Audio– Writing Center– Links to Standards
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Photo Story
Show - n - Tell
Share Your Stories
Create Stories
Runs free on Windows– http://www.microsoft.com/windowsxp/using/digital
photography/photostory/photostory3_share.mspx
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Developing Visual Connections
Apple Learning Interchange– http://edcommunity.apple.com/ali/
• ABCs• All Quiet on the Western Front
Apple’s iMovie - apple.com
Microsoft’s MovieMaker - microsoft.com
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Some Examples
Let’s check out the Handout– Learn Alberta - learnalberta.ca - parts
free & offers across the grade and content level illustrations.
– Brain Pop - brainpop.com - for pay but visually displays (offers text as well) information - context for the user.
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Math Games
A few Considerations
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Considering Resources
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Math - Web Resources
Montgomery County Public Schools - MDHigh-Incidence Accessible Technologies (HIAT)
Created a number of resources for their teachers and a wonderful website for math resources
http://www.montgomeryschoolsmd.org/departments/hiat/resources/digital_text.shtm
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Mathematics Considerations - Resources
Illuminations– http://illuminations.nctm.org/– Lessons– Student Interactive Resources– Web Resources for Mathematics
Thinkfinity– http://www.thinkfinity.org/– Manages the Literacy Network
Manages Marco Polo
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Math Dictionary
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Web 2.0 Considerations
Additional Resources to Consider
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Math Considerations - Resources
Kerpoof– Make a Movie– Make a Photo
Animoto– Make a Movie– Interactive experience
• AudioVideoDemonstration
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Text-to-Speech
Do we Really Need to Read It?
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ReadPlease (readplease.com)
Free text-to-speech software
Customize font and background color
Reads text via Windows clipboard from any program (copy/paste)
Control reading from system tray
Reads e-mail emoticons such as :) or :(
Adjustable voice speed (rate)
Low vision color option
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Natural Reader - naturalreader.com
NaturalReader is a Text to Speech software with natural sounding voices. This easy to use software can convert any written text such as MS Word, Webpage, PDF files, and Emails into spoken words. NaturalReader can also convert any written text into audio files such as MP3 or WAV for your CD player or iPod.
http://www.naturalreaders.com/
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Premier Accessibility Suite– http://www.readingmadeez.com– Text-to-speech software– Audio output - multiple voices– Highlights text as it speaks
Texthelp - Read and Write Gold– http://www.texthelp.com– Text-to-speech software
Audio output - multiple voices– Highlights text as it speaks
Text-to-Speech
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Scan and Read Systems
WYNN Kurzweil 3000
www.freedomscientific.com www.kurzweiledu.com
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Text-to-Speech - Becoming Universal
Firefox’s Text-to Speech
Click Speak Bundle Does the Trick
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Acrobat Reader - Free Version
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Podcasting, Audio Books, & More - Oh My!
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http://movies.atomiclearning.com/k12/podcasting• Student demonstrate knowledge• Information on the go• Multiple means for representation• Narrated Book series
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