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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    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

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    Multi-sensory

    approaches

    NumberFacts Mental

    Math

    Symbols &Language

    Visual /Spatial

    CognitiveDevelopment

    WorkingMemory

    Rules /Procedures

    Verifiedunderstanding

    Verifiedunderstanding

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    Multi-sensory

    approaches

    NumberFacts Mental

    Math

    Symbols &Language

    Visual /Spatial

    CognitiveDevelopment

    WorkingMemory

    Rules /Procedures

    Verifiedunderstanding

    Verifiedunderstanding

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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)

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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?

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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

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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?

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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

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    Stress reducers(spatial positions, patterns, & similarities)

    Uncluttered geometry worksheets

    Multi-sensory math manipulatives(geo-boards, fraction tiles, dice, geometric shapes)

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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?

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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

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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

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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?

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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

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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

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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)

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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