Teaching Adults With MLD
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Transcript of Teaching Adults With MLD
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Teaching Math to Adults with
Learning Disabilitiesby: Andr Davey
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Teaching Math to Adults with
Learning Disabilitiesby: Andr Davey
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Teaching Math to Adults with
Learning Differencesby: Andr Davey
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In the past
A teacher sent the following note home with a six yearold boy: He is too stupid too learn.
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In the past
A teacher sent the following note home with a six yearold boy: He is too stupid too learn.
That boy was Thomas Edison.
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In the past
Teachers said that their student was mentally slow,
unsociable, and adrift in his foolish dreams.
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In the past
Teachers said that their student was mentally slow,
unsociable, and adrift in his foolish dreams.
The student was Albert Einstein.
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In the past
A learner was regularly punished in school for failureor lack of effort, sometimes failing the same classnumerous times.
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In the past
A learner was regularly punished in school for failureor lack of effort, sometimes failing the same classnumerous times.
That learner was Winston Churchill.
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Today
It is our hope that a student with LD sees this as anaffirmation that they are smart; they simply learn in adifferent way.
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Today
It is our hope that a student with LD sees this as anaffirmation that they are smart; they simply learn in adifferent way.
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Today
A recent (1990-2010)review of 223 academic articlesshowed that only 10% were specific to adults.
Further research is neededon the subject of adultswith Learning Differences, particularly on adults whoexhibit a Math LD.
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Identifying MathLearning Differences
The Effect of MathLearning Differences
Teaching Strategies
Overview
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Identifying MLD
Math learning process altered by psychological factors
A variety of terminology
MLD
Math
LearningDisability
MD
Math
Disability orDifficulty
AD
ArithmeticDisability
WPD
Word
ProblemDifficulty
Dyscalculia
Difficultycalculating
all characteristic of a discomfort with math.
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The struggle to grasp mathematical concepts can alsobe attributed to physical damage to the cerebral cortex.
Identifying MLD
MLD Subtypes
Procedural
Linguistic
Visual-spatial
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Identifying MLD
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Diagnosis of an LD is obtained by PsychEd Assessmentfrom the Association of Psychologists of N.S. (www.apns.ca)
http://www.apns.ca/http://www.apns.ca/ -
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Cognitive Areas of Impact
(Math analysis of a PsychEd report)
Identifying MLD
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Diagnosis of an LD is obtained by PsychEd Assessmentfrom the Association of Psychologists of N.S. (www.apns.ca)
http://www.apns.ca/http://www.apns.ca/ -
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Cognitive Areas of Impact
(Math analysis of a PsychEd report)
Identifying MLD
Working memory(able to plan & organize)
Visual Motor Integration
(able to form letters & numbers)
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Diagnosis of an LD is obtained by PsychEd Assessmentfrom the Association of Psychologists of N.S. (www.apns.ca)
http://www.apns.ca/http://www.apns.ca/ -
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Low standardized test scores does not translate to an LD
Identifying MLD
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With academic upgrading, learners can get better results
Identifying MLD
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Identifying MLD
It is critical to recognize whether poor acquisition is dueto an actual cognitive disability or inadequate instruction.
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Identifying MLD
It is critical to recognize whether poor acquisition is dueto an actual cognitive disability or inadequate instruction.
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The Effect of MLD
Societal supportof animosity toward
mathematics
Parents & peerspass on
perceptions
Further everydayinclusion of math is
needed
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The Effect of MLD
Understand arithmetic as an adult with MLD
Understand multi-step problems as an adult with MLD
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Click on linksfor interactiveexperiences
http://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp1b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp3b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp3b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp3b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp3b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp3b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp1b.htmlhttp://www.pbs.org/wgbh/misunderstoodminds/experiences/mathexp1b.html -
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The Effect of MLD
With certain learners, every time they see a wordproblem in math class it can feel like this:
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The Effect of MLD
or it can feel like this:
Question: If I have 8 toothpicks and 12bananas, how many radishes will fit on theroof?
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The Effect of MLD
Question: If I have 8 toothpicks and 12bananas, how many radishes will fit on theroof?
Answer: Purple, because elephants dont
wear sneakers.
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The Effect of MLD
Mathematical proficiency is required in theday to day activities of life as an adult.
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The Effect of MLD
Mathematical proficiency is required in theday to day activities of life as an adult.
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The Effect of MLD
Mathematical proficiency is required in theday to day activities of life as an adult.
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The Effect of MLD
Mathematical proficiency is required in theday to day activities of life as an adult.
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The Effect of MLD
Mathematical proficiency is required in theday to day activities of life as an adult.
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Math instructors in Adult Learning Programs (ALP) mustconsider the essential skills needed in the workplace, athome, and in the community.
The Effect of MLD
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Learners can be affected by the finite nature of math
The Effect of MLD
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Finding one specific right answer can seem daunting
The Effect of MLD
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However, through supported instruction, this pressureto find a precise result can be positively transformed.
In fact, learners personal self-confidence will developfrom the ability to self-evaluate their performance.
The Effect of MLD
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I think I'mgetting there..
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Teaching adults with MLD
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Unsuccessful comprehensionwithin the cumulative processmakes future concepts arduous.
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Teaching adults with MLD
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Unsuccessful comprehensionwithin the cumulative processmakes future concepts arduous.
A solid number sense foundationis vital to a learners progression.
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Teaching adults with MLD
Mathematical instruction must move in a directiontoward math merriment ...
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Teaching adults with MLD
and away from a drill & kill rote method of memorization
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Teaching adults with MLD
A shift from traditional rote instruction is required.
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Teaching adults with MLDHow do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
Instructional process
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How do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
Instructional process
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ask questions, determine students current strategy,
discuss reasoning for learning a more effective strategy
How do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
Instructional process
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ask questions, determine students current strategy,
discuss reasoning for learning a more effective strategy
co-construct strategy, explainingeach step to ensure understanding
How do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
Instructional process
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ask questions, determine students current strategy,
discuss reasoning for learning a more effective strategy
co-construct strategy, explainingeach step to ensure understanding
model strategy, guide learner through application,provide positive and constructive feedback
How do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
Instructional process
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ask questions, determine students current strategy,
discuss reasoning for learning a more effective strategy
co-construct strategy, explainingeach step to ensure understanding
model strategy, guide learner through application,provide positive and constructive feedback
student independently transfersnew strategy to similar tasks
How do students with LD earn grades akin to non-LD peers?
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Teaching adults with MLD
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Adult education a generation ago
Current NSSAL model of adult education
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Multi-sensory
approaches
Teaching adults with MLD
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Teaching adults with MLD
Counting (suggest counting on rather than count-all)
Practice often but in small quantities(both guided and independent ~ mindful repetition)
Relate to real world with examples
(2 x 2 = 4 cars wheels :: 2 x 12 = 24 Hrs: am & pm)
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NumberFacts
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Teaching adults with MLD
Activities: Sequence pennies by date
Graph paper for alignment
Clocks to count by 5, 15
Coins to count by 5, 10, 25 Highlight columns (ones, tens, hundreds)
Mental math multiplication
Match place value to base ten blocks
Include strategies from your teachers toolbox
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NumberFacts
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Fact families
Math journal
Estimation station(containers with rocks, cheerios, pennies, marbles,
or marshmallows with measuring cup nearby)
Teaching adults with MLD
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MentalMath
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Activities:
In-class examples (interactive & physical)
Estimate distance and verify with meter stick
Identify a minute passing with eyes closed
Metaphors and mnemonics (pi z z = a)
Intransitive pattern counting(starting anywhere, using any sequence)
What fun activities do you use in class?
Teaching adults with MLD
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MentalMath
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Pre-teach new terminology (monetary terms, partof whole, proper/improper/decimal fractions)
Use different vocabulary (six thirty, half past six)
Math merriment
(link: A new angle on geometry )
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Symbols &Language
http://www.youtube.com/watch?v=KjhP3vISXks&list=UU7745y8gTv_fxpnXh3990_Q&index=1&feature=plcphttp://www.youtube.com/watch?v=KjhP3vISXks&list=UU7745y8gTv_fxpnXh3990_Q&index=1&feature=plcp -
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Activities:
Math word wall
3 x 2 equivalent to 32, 3(2), 3[2], (3)(2)
Discuss transference of skills
(after defining transfer as to move) Ask learners what a number means to them
Do you instruct with a think-aloud technique?
Teaching adults with MLD
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Symbols &Language
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Stress reducers(spatial positions, patterns, & similarities)
Uncluttered geometry worksheets
Multi-sensory math manipulatives(geo-boards, fraction tiles, dice, geometric shapes)
Teaching adults with MLD
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Visual /Spatial
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Activities: Make 3D shapes, relate to real life objects Accessible layouts: 300 200 100
30 20 103 2 1
.1 .2 .3
.01 .02 .03
Purchase from provided menu(pick items & total amounts)
Match coin equivalencies
How is your classroom visually stimulating?
Teaching adults with MLD
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Visual /Spatial
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Start with basic skills and build from there
Identify and correct misconceptions ASAP(responsibility of instructor & learner)
Small group instruction(greater opportunity to obtain guided feedback)
CognitiveDevelopment
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Activities:
Reflective practice(improves procedural competencies)
Recognize one minute passing (eyes closed)
Provide a pause during instruction(supports clarification of knowledge)
What ways do you promote learners growth?
CognitiveDevelopment
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Execution of the appropriate operations
Guide procedure (provides a frame to evaluate accuracy)
Build upon math facts
Retrieval-based processes (moderated by confidence)
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WorkingMemory
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Activities: Lattice method (for long multiplication)
BEDMAS (10 3 +2 or 10 3 x 2)
Use instructional technology
(links: ATM or Debit) What are your alternative techniques?
Teaching adults with MLD
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WorkingMemory
http://oclf.org/atm/ATM.htmlhttp://oclf.org/atm/debit.htmlhttp://oclf.org/atm/debit.htmlhttp://oclf.org/atm/ATM.html -
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Review key math words (part of, whole, times)
Explain harder terms (quotient, isosceles)
Model problems using think-aloud technique
Keep it interesting (relate it to learners)
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Rules /Procedures
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Activities:
Highlight key words Use checklists to organize information Make sure answer makes sense
Label work (words, symbols, monetary signs) Supplement with visual diagrams Ask your learners to create problems to solve
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Rules /Procedures
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Multi-sensory
approaches
NumberFacts Mental
Math
Symbols &Language
Visual /Spatial
CognitiveDevelopment
WorkingMemory
Rules /Procedures
Verifiedunderstanding
Verifiedunderstanding
Teaching adults with MLD
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Math is a cumulative process
Track progress (identify where further focus is needed)
Establish firm understanding before moving on
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Verifiedunderstanding
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Activities:
Mock auctions(bid on: free time, positive feedback)
Math Olympiads(challenge acquired knowledge)
Pre-Assessments(to compare with post assessments)
Do you have a weekly math challenge?(reviews acquired concepts)
Teaching adults with MLD
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Verifiedunderstanding
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Our learners can never be who they ought to be,
unless we are who we ought to be
Felix Justice paraphrasing Martin Luther King Jr.
2011 Atlantic Conference on Learning Disabilities
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Our learners can never be who they ought to be,
unless we are who we ought to be
Felix Justice paraphrasing Martin Luther King Jr.
2011 Atlantic Conference on Learning Disabilities
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Our learners can never be who they ought to be,
unless we are who we ought to be
Felix Justice paraphrasing Martin Luther King Jr.
2011 Atlantic Conference on Learning Differences
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Thank you