10
A Math Look from Dyscalculia.org
DYSCALCULIA Quelling Math Anxiety
Presented byRenee Hamilton-Newman
M.S.-Special Education, M.Ed.-Instructional DesignDyslexia and Dyscalculia Diagnostician and Therapist Detroit, Michigan, USA
QUELLING MATH ANXIETY
SPEAKER INTRO
MATH ANXIETY REAL
ANXIETY NATURAL
COGNITIVE LOAD
DYSCALCULIA?
EMOTION+HISTORY
WORKING MEMORY
AUDITORY MEMORY
VISUAL MEMORY
SOLUTIONS
SEQUENCING
VIS-SPACE-DIRECT-SEQ
ANXIETY IS A NATURAL CONSEQUENCE
when unable to perform as needed or expected. Experience (past + present) + prediction = anxiety and avoidance of the unpleasant. Math Anxiety does NOT CAUSE dyscalculia; it results from it.
2 Anxiety
Instructional or situational disconnect / lost, stress, struggle to reconnect ... if unsuccessful: frustration, anger, distress.
2 Anxiety
Demand uncertainty + time pressure = distress.
Processing capacity is exceeded.
Overwhelmed cognitive thresholds.
2 Anxiety
Math Anxiety activates + shrinks brain areas (fear, threats, pain); reduces activity in processing + reasoning areas; stress chemicals; overloads/disrupts working memory.
2 Anxiety
TO REDUCE MATH ANXIETY: - write about feelings - positive affirmations/mindset - use resources to experience abstract concepts - deep understanding - see relationships - facilitate calculation - math language fluency
Positive Experices + Confidence + Strategies + Tools
DYSCALCULIA SYNDROME
PERSISTENT DIFFICULTIES: - TIME - CLOCKS - CALENDARS - SCHEDULES - DATES - NUMBER SEQUENCES - DIRECTION (L/R, NAVIGATION) - VISUAL-SPATIAL PROCESSING - VISUAL MEMORY - PROCEDURAL MEMORY - MOTOR SEQUENCING (TYING, DANCE, SPORTS) -"CARELESS ERRORS" - STRUGGLES TO KEEP UP / ENGAGE / PERFORM
DYSCALCULIA SYNDROME
29-y.o. Counselor with Severe Dyscalculia: - Cannot hold numbers in mind - Tally marks represent digits - Working Memory Impairment - Percerveration: 3 - Procedural Memory Impairment - Slow math processing speed - Counting errors - Reasoning errors - Embarrassment - Red face, perspiration, tears
Dyscalculia Performance Profile - 29 yo
- Exceptional Reading Skills - Exceptional Speaking Skills - Good Written Expression + Spelling - Average Listening Comprehension - Weak Phonological Processing - Impaired Math Skills - IQ 102 Average
Severe Dyscalculia 29 yo Counselor
- distrust of procedural memory - counted repeatedly - > persistence! - > attention! - > focus! - > very slow
29 y.o. counselor
- marks hold numbers - does not trust count - recounts - perimitive strategy - working memory is overwhelmed -> forgot operations - 5 x 2 = 7 (added) - > persistent! - normal IQ - tallying scores at work takes inordinate time
18 yo girl high IQ
-quickly solved basic math problems, and easy algebraic equations - high IQ 131 - talented writer, speaker, reader, artist, musician, dancer, playwright. - when math threshold overwhelmed -> panic attack - private, exclusive boarding schools K-11 - HS drop-out: math-shamed, humiliated - long division and double-digit multiplication: * visual-spatial-directional-sequential ambiguity * poor procedural memory * working memory overwhelmed: forgot operation - attends college - can't pass math portion of GED - > anxiety
15 yo girl grade 9
- above-average IQ - talented writer & illusrator - poor procedural memory - limited understanding of place value - no monitoring for reasonability - limited understanding of decimal point - accurate multiplication
"Math Dyslexia"
college student age 25
25 y.o. College Student
- poor procedural memory - visual-spatial uncertainty - repeatedly subtracted to divide - > persistent! - Math - F 3x
Brian Butterworth - Subitizing - Number Sense - Neurology of Dyscalculia
Research Timeline 1808-2020
Research Timeline 1808-2020
cm
Mb
SOLUTIONS
kg
Language - Vision - Big Picture Relationships - Tools for Reasoning & Calculation
Tb
4 - Solutions
UNIVERSAL DESIGN FOR LEARNING (UDL)
INFORMATION REDUNDANCIES (live + stored + accessible)
- AUDITORY - hear it
- VISUAL - see it
- ACTIVITIES - experience it
- DEMONSTRATION - explain it
- OPPORTUNITIES - several
- CHOICES - to demonstrate mastery in different ways
4 - Solutions
Learn Math as a Foreign Language
398 years ago, Galileo Galilei, the Italian astronomer and physicist, said that Mathematics is the language in which God has written the universe. Opere Il Saggiatore, 1623:[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.
4 - Solutions
Math is the Universal Language of Science
- Words - Vocabulary
- Symbols
- Grammar - whole system
- Syntax - structure
- Writing Conventions
- Patterns and Shapes
- Facts and Forces
- Interpretation + Translation
- Fluency - express many ways
4 - Solutions - A Math Look
Math Language Fluency
4 - Solutions - A Math Look
Express many ways.
Strategies
Solutions
- Mask to reduce visual stimuli & isolate digits
- Authentic / Constructive Assessments
- Reason Verbally
- Color-code and Illustrate
- Chunk and Simplify
- Master Directionality + Orientation
- Free up processing capacity w/ instant access to resources
- Positive Experiences!
- Reduce cognitive load with tools that preserve number, visualize number relationships, model quantities, facilitate calculation and encourage deep understanding and math language fluency (reading, writing, listening, speaking, reasoning).
Gb
uni-
THANK YOU!
QUESTIONS?
www.DYSCALCULIA.ORG renee@dyscalculia.org
mm
dyscalculia.org/anxiety
tera-
Dyscalculia- Quelling Math Anxiety
A Math Look
Created on July 27, 2021
Math Anxiety results when one is unable to perform as needed or expected. Math Aniiety does not cause dyscalculia, but results from it. Dyscalculia is a syndrome caused by specific deficits in cognitive functions that compound to impair performance. See more at www.dyscalculia.org/webinar
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Transcript
10
A Math Look from Dyscalculia.org
DYSCALCULIA Quelling Math Anxiety
Presented byRenee Hamilton-Newman
M.S.-Special Education, M.Ed.-Instructional DesignDyslexia and Dyscalculia Diagnostician and Therapist Detroit, Michigan, USA
QUELLING MATH ANXIETY
SPEAKER INTRO
MATH ANXIETY REAL
ANXIETY NATURAL
COGNITIVE LOAD
DYSCALCULIA?
EMOTION+HISTORY
WORKING MEMORY
AUDITORY MEMORY
VISUAL MEMORY
SOLUTIONS
SEQUENCING
VIS-SPACE-DIRECT-SEQ
ANXIETY IS A NATURAL CONSEQUENCE
when unable to perform as needed or expected. Experience (past + present) + prediction = anxiety and avoidance of the unpleasant. Math Anxiety does NOT CAUSE dyscalculia; it results from it.
2 Anxiety
Instructional or situational disconnect / lost, stress, struggle to reconnect ... if unsuccessful: frustration, anger, distress.
2 Anxiety
Demand uncertainty + time pressure = distress.
Processing capacity is exceeded.
Overwhelmed cognitive thresholds.
2 Anxiety
Math Anxiety activates + shrinks brain areas (fear, threats, pain); reduces activity in processing + reasoning areas; stress chemicals; overloads/disrupts working memory.
2 Anxiety
TO REDUCE MATH ANXIETY: - write about feelings - positive affirmations/mindset - use resources to experience abstract concepts - deep understanding - see relationships - facilitate calculation - math language fluency
Positive Experices + Confidence + Strategies + Tools
DYSCALCULIA SYNDROME
PERSISTENT DIFFICULTIES: - TIME - CLOCKS - CALENDARS - SCHEDULES - DATES - NUMBER SEQUENCES - DIRECTION (L/R, NAVIGATION) - VISUAL-SPATIAL PROCESSING - VISUAL MEMORY - PROCEDURAL MEMORY - MOTOR SEQUENCING (TYING, DANCE, SPORTS) -"CARELESS ERRORS" - STRUGGLES TO KEEP UP / ENGAGE / PERFORM
DYSCALCULIA SYNDROME
29-y.o. Counselor with Severe Dyscalculia: - Cannot hold numbers in mind - Tally marks represent digits - Working Memory Impairment - Percerveration: 3 - Procedural Memory Impairment - Slow math processing speed - Counting errors - Reasoning errors - Embarrassment - Red face, perspiration, tears
Dyscalculia Performance Profile - 29 yo
- Exceptional Reading Skills - Exceptional Speaking Skills - Good Written Expression + Spelling - Average Listening Comprehension - Weak Phonological Processing - Impaired Math Skills - IQ 102 Average
Severe Dyscalculia 29 yo Counselor
- distrust of procedural memory - counted repeatedly - > persistence! - > attention! - > focus! - > very slow
29 y.o. counselor
- marks hold numbers - does not trust count - recounts - perimitive strategy - working memory is overwhelmed -> forgot operations - 5 x 2 = 7 (added) - > persistent! - normal IQ - tallying scores at work takes inordinate time
18 yo girl high IQ
-quickly solved basic math problems, and easy algebraic equations - high IQ 131 - talented writer, speaker, reader, artist, musician, dancer, playwright. - when math threshold overwhelmed -> panic attack - private, exclusive boarding schools K-11 - HS drop-out: math-shamed, humiliated - long division and double-digit multiplication: * visual-spatial-directional-sequential ambiguity * poor procedural memory * working memory overwhelmed: forgot operation - attends college - can't pass math portion of GED - > anxiety
15 yo girl grade 9
- above-average IQ - talented writer & illusrator - poor procedural memory - limited understanding of place value - no monitoring for reasonability - limited understanding of decimal point - accurate multiplication
"Math Dyslexia"
college student age 25
25 y.o. College Student
- poor procedural memory - visual-spatial uncertainty - repeatedly subtracted to divide - > persistent! - Math - F 3x
Brian Butterworth - Subitizing - Number Sense - Neurology of Dyscalculia
Research Timeline 1808-2020
Research Timeline 1808-2020
cm
Mb
SOLUTIONS
kg
Language - Vision - Big Picture Relationships - Tools for Reasoning & Calculation
Tb
4 - Solutions
UNIVERSAL DESIGN FOR LEARNING (UDL)
INFORMATION REDUNDANCIES (live + stored + accessible)
4 - Solutions
Learn Math as a Foreign Language
398 years ago, Galileo Galilei, the Italian astronomer and physicist, said that Mathematics is the language in which God has written the universe. Opere Il Saggiatore, 1623:[The universe] cannot be read until we have learnt the language and become familiar with the characters in which it is written. It is written in mathematical language, and the letters are triangles, circles and other geometrical figures, without which means it is humanly impossible to comprehend a single word.
4 - Solutions
Math is the Universal Language of Science
4 - Solutions - A Math Look
Math Language Fluency
4 - Solutions - A Math Look
Express many ways.
Strategies
Solutions
Gb
uni-
THANK YOU!
QUESTIONS?
www.DYSCALCULIA.ORG renee@dyscalculia.org
mm
dyscalculia.org/anxiety
tera-