Got Dyscalculia?Providing Support for All Learners

Presented by:Jenifer Hutchinson Eboney McKinney

Welcome!We are your mathematics specialists with the Arizona Department of Education in Exceptional Student Services.

Eboney McKinneyEmail: eboney.mckinney@azed.govPhone: (602) 364-0642

Jenifer HutchinsonEmail: jenifer.hutchinson@azed.govPhone: (520) 628-6331

Sam’s Story

https://www.understood.org/en/tools/through-your-childs-eyes

The evaluation compares a person's expected

and actual levels of skill and understanding

while noting the person's specific strengths and

weaknesses.

Derived from: http://www.ldonline.org/article/13709/

How is dyscalculia identified?

Students that have received a diagnosis of dyscalculia…

are considered three year behind their peers,

have a deficit in arithmetic, comparison of number symbols and numerosities.

Got Dyscalculia?

https://www.mathreasoninginventory.com/Home/Resources

https://www.mathreasoninginventory.com/Home/WatchInterviews

https://epdf.pub/dyscalculia-assessment5c41fe9bb990b872c505f3811cec6fa669750.html

Dyscalculia Inventories

Manifestations of DyscalculiaReasoning Working

MemoryLanguage

Understanding*

Spatial Cognition

Enumeration of Small Sets

Comparison of Numerosities

Numerosity Estimation*

• Sorting Shapes

• Dominoes (How do you see them?)

• What is your favorite ___? Why?

• Scales

• Word Problems

• Total Number of Dots (large sets)

• Sequence• Scales

• What is your fave ___? Why?

• Word Problems

• Sorting Shapes

• Vocabulary Usage

• How many do you see? (Dots)

• Arrays• How big is

1000? 10000?...

• Sharing Brownies

• Sorting Shapes

• Scales

• How many do you see? (Dots)

• Arrays• Area Model

• Missing parts of an equation

• Make 10• How many

do you see? (rekenrek)

• How do you see them?

• How big is 1000? 10000?...

*never an isolated manifestation

General Interventions

Always match the strategy to the student’s

identified needs and abilities.

https://www.sess.ie/categories/specific-learning-disabilities/dyscalculia/tips-learning-and-teaching

Physical Manipulativeso Rekenrek https://www.k-

5mathteachingresources.com/Rekenrek.html

o Base-Ten Blocks, Dot Dice, Double-

Sided Counters, Dominoes,

Cuisenaire Rods, Algebra Tiles,

Snap Cubes, etc.

Virtual Manipulativeso National Library of Virtual

Manipulatives http://nlvm.usu.edu/

o Didax Virtual Manipulatives

https://www.didax.com/math/virtual-

manipulatives.html

Helpful Manipulatives

Specific Interventions Reasoning Working Memory Spatial Cognition Enumeration of

Small Sets Comparison of Numerosities

• Comparison of small sets of objects with numerical labels

• Comparison of shapes, building to a figure, breaking down a figure, puzzles that connect

• Build a figure, retell the “journey” in sequence, answer questions about sequence

• Break numbers into as many parts or as many ways as they can. Leave value of the original so that the learner gets immediate feedback.

• Comparison of shapes, building to a figure, breaking down a figure, puzzles that connect

• Learner changes/rearranges larger arrays to count them, progressively getting larger

• Comparison of small sets of objects with numerical labels

• Comparison of shapes, building to a figure, breaking down a figure, puzzles that connect

• Build a figure, retell the “journey” in sequence, answer questions about sequence

• Use ungroupable and groupable representations of numbers

• Discover pairs with manipulatives, dice, and cards

• Break numbers into as many parts or as many ways as they can. Leave value of the original so that the learner gets immediate feedback.

• Use ungroupable and groupable representations of numbers

• Discover pairs with manipulatives, dice, and cards

• Learner changes/rearranges larger arrays to count them, progressively getting larger

• Comparison of small sets of objects with numerical labels

Interventions for Home and School PLAY GAMES!iota

Achi

Dice Games

Card Games

3D Tic-Tac-Toe

Your turn

Dyscalculia Manifestations:1. Reasoning2. Working Memory3. Language Understanding*4. Spatial Cognition5. Enumeration of Small Sets 6. Comparison of

Numerosities7. Numerosity Estimation*

*these never manifest in isolation

Standards for Mathematical Practice:1. Make sense of problems and persevere in

solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and critique

the reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in

repeated reasoning.

Reflections:

Jenifer.Hutchinson@azed.gov (520) 628-6331

Eboney.McKinney@azed.gov (602) 364-0642

Contact Us!

● The Number Race (Numeration & Basic Operations)● More 4 Monkey: Develop Number Sense (based on research at Johns Hopkins

University)● National Library of Virtual Math Manipulatives● https://www.k-5mathteachingresources.com/Rekenrek.html● Whole Number Reasoning Strategies:

https://www.mathreasoninginventory.com/Home/ReasoningWholeNumbers● Decimal Reasoning

Strategieshttps://www.mathreasoninginventory.com/Home/ReasoningDecimals● Fraction Reasoning

Strategieshttps://www.mathreasoninginventory.com/Home/ReasoningFractions● Additional support determining the strategy:

https://www.mathreasoninginventory.com/Home/Practice● “Dyscalculia” National Center for Learning Disabilities

http://www.ldonline.org/article/13709/● At a Glance: Classroom Accommodations For Dyscalculia Amanda Morin -

https://www.understood.org/en/school-learning/partnering-with-childs-school/instructional-strategies/at-a-glance-classroom-accommodations-for-dyscalculia

Resources:

Whole Number Reasoning Strategies:

https://www.mathreasoninginventory.com/Home/ReasoningWholeNumbers

Decimal Reasoning Strategies

https://www.mathreasoninginventory.com/Home/ReasoningDecimals

Fraction Reasoning Strategies

https://www.mathreasoninginventory.com/Home/ReasoningFractions

Additional support determining the strategy:

https://www.mathreasoninginventory.com/Home/Practice

Reasoning Strategies