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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: [email protected]: (602) 364-0642
Jenifer HutchinsonEmail: [email protected]: (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:
● 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
