5.3. Generalized Permutations and Combinations 5.3.1
Permutations with Repeated Elements. Assume that we have an alphabet with k letters and we want to write all possible words containing n1 times the first
Professional learning in mathematical reasoning: Reflections of a
developing teachers' understanding of mathematical reasoning. activities based around a demonstration lesson (Clarke et al. 2013) focused on reasoning.
Validez y consistencia del instrumento FANTASTIC para medir estilo
de uno y otro sexo con diabetes mellitus tipo 2. Se midieron los niveles en ayuno de colesterol La diabetes mellitus y sus complicaciones cons-.
Math 1302 Week 7: Variable mass systems
Find its velocity at time t if it starts from rest with radius a. Solution: We have that dm dt. = ?r2. But m = 4. 3.
DM/1 (E)
1 jul 2022 DM/1 (E). APPLICATION FOR INTERNATIONAL REGISTRATION. IMPORTANT. We strongly recommend that you file your international application online ...
The extended algebra of observables for Dirac fields and the trace
3 abr 2009 arXiv:0904.0612v1 [math-ph] 3 Apr 2009 ... In the case E = DM E = D?M
AN ONTO-SEMIOTIC APPROACH TO REPRESENTATIONS IN
notion of semiotic function and mathematics ontology elab- specific object
Métodos Matemáticos de la F´?sica II: Ecuaciones Diferenciales y
que el combustible se consume a una razón constante ? es decir
Notes on Discrete Mathematics
8 jun 2022 These are the notes for the Fall 2017 semester version of the Yale course. CPSC 202a Mathematical Tools for Computer Science.
Identifying Math Learning Disabilities Using the Concordance
19 oct 2018 Identifying Math Learning Disabilities Using the. Concordance-Disorcordance Model (C-DM) for ... Demonstration and modeling.
10/18/2018
1Identifying Math Learning Disabilities Using the
Concordance-Disorcordance Model (C-DM) for
Targeted Intervention
James B. Hale, PhD, MEd, ABPdN
Professor of Educational Neuroscience (Ret)
Board-Certified Pediatric Neuropsychologist
Washington Licensed PsychologistWashington Certified School PsychologistCertified Special Education Teacher (SLD/EBD)
Breakout Session Part II
Washington State Association of School Psychologists Annual ConferenceSeattle, Washington
October 19, 2018
Sponsors and Affiliates:
Three Axes Interpretation
Left Hemisphere-Routinized/Detailed/Local
-Convergent/Concordant -Crystallized AbilitiesRight Hemisphere
-Novel/Global/Coarse -Divergent/Discordant -Fluid AbilitiesAnterior/Superior
-Executive Regulation and Supervision -Motor OutputPosterior
-Sensory Input -ComprehensionInferior
-Executive Execution -Automaticity ofAction©James B. Hale, PhD, MEd, ABPdN
Three Axes Interpretation: Easy Model
Left Hemisphere
-OLD LEARNING -PARTS/DETAILSRight Hemisphere
-NEW LEARNING -WHOLE/BIG PICTUREAnterior/Superior
-GOING OUT -BRAIN BOSS/THINKINGPosterior
-GOING IN -UNDERSTANDINGInferior
-AUTOMATIC/DOING ©James B. Hale, PhD, MEd, ABPdN10/18/2018
2Three Axis Interpretation
Hale et al. (2018). Recognizing frontal-subcortical circuit dimensions in child and adolesecent psychopathology.
In J. N. Butcher (Ed), APA Handbook of Psychopathology, Washington, DC: APA Books.©James B. Hale, PhD, MEd, ABPdN
The Brain on Math: Math Computation
Orthographic
Number-
Quantity
Association
Dorsal
Stream
Oculomotor-
trackingDorsolateral
Prefontal
Cortex
Direction (Left)
Spatial-Attention (Right)
©James B. Hale, PhD, MEd, ABPdN
Math Fluency and Math Word Problems
Executive
(DorsolateralPrefrontal)
OtherStructures:
ALL Previous
MathComputation
Structures
Language
Comprehension
Orthographic
Automaticity
Timing
Ventral
Stream
Retrieval SLF
GaveAway =
Subtract
Gave Away Subtr act©James B. Hale, PhD, MEd, ABPdN
10/18/2018
3 Identifying Children with Learning Disabilities in the United States: Definitions and Practices ȈDisorder of the basic psychological processes that adversely affects achievementDefining Learning Disabilities
ȈDiscrepancy between 䇾ability䇿and 䇾achievement䇿 ȈFailure to respond to research-based interventionȈMay use other alternative research-based
procedures for determining specific learning disability (§300.8(c)(10) OSERSFinal Regulations, August, 2006)
Determining Learning Disabilities
©James B. Hale, PhD, MEd, ABPdN
Learning Disabilities Association of America White Paper and Learning Disability Quarterly PublicationLearning Disability Quarterly, 33,223-236
The Learning Disabilities Association of America䇻s White Paper on Evaluation, Identification, and Eligibility Criteria for Students with Specific Learning Disabilities The background and reason for the White Paper became apparent when the Individuals with Disabilities Education Act (IDEA) Statute was published in 2004. Members of the LDA Board of Directors were pleased that the definition of Specific Learning Disabilities (SLD) remained intact. But when the Regulations were published in 2006, it was surprising to find that the SLD evaluation criteria and identification criteria were no longer aligned with the SLD definition in IDEA. Both of these criteria changed from taking the cognitive nature of SLD into consideration, to instead aligning IDEA with the regulations in the Elementary and Secondary Education Act (ESEA/NCLB) and putting the emphasis on identifying students who are not achieving adequate for the child䇻s age or the attainment of StateǦapproved gradeǦlevel standards, not abilities. In effect, the new criteria virtually eliminated a great many students with SLD, including some who have high academic achievement in some areas but markedly low achievement in other areas. In 2008 LDA partnered with a group of professionals who were also concerned that the cognitive nature of SLD was not given much, or in some cases, no consideration but rather was looked upon as a condition that is educational in nature. The idea for the White Paper grew out of this partnership of professionals and members of LDA and was presented at a Symposium held at the LDA International Conference held inBaltimore, February 2010.
LDA White Paper, February 2010
valuation%20Criteria%20for%20SLD.pdf©James B. Hale, PhD, MEd, ABPdN
Journal of Psychoeducational Assessment
© 2010 SAGE Publications
DOI: 10.1177/0734282910388598
http://jpa.sagepub.com Forest Grove School District v. T.A. Supreme Court Case:Implications for School Psychology Practice
Shauna G. Dixon1, Eleazar C. Eusebio2, William J. Turton2, Peter W. D. Wright3and James B. Hale4Abstract
The United States Supreme Court Position
©James B. Hale, PhD, MEd, ABPdN
10/18/2018
4Multi-Tier Model of Service Delivery
Source: Hale, J. B. (2006). Implementing IDEA with a three-tier model that includes response to intervention and
cognitive assessment methods. School Psychology Forum: Research and Practice, 1, 16-27.Tier 1:
85%Served
Problem-Solving
RTI ApproachIndividualized Special
Education
Standard Protocol
Instruction
RTI Approach
Tier 2:
10%Served
Tier 3:
5%Served
Curriculum-Based
Measurement
Ongoing Progress Monitoring
Individualized Measurement
Single Subject Designs
Individualized Measurement
Single Subject Designs
Comprehensive
Cognitive
Hypothesis Testing
Evaluation
©James B. Hale, PhD, MEd, ABPdN
Tier 1
Standardized RTI Approach
Responder?
YES Continue General
Education and
Progress Monitoring
NO Begin Tier 2
Problem-Solving
Model Intervention
Responder?
YES Return to Tier 1
General Education and
Progress Monitoring
NO, Consider Comprehensive
Evaluation and Cognitive
Hypothesis Testing Model
Tier 2
Problem Solving Model RTI Approach
©James B. Hale, PhD, MEd, ABPdN
Tier 3: Cognitive Hypothesis Testing
Theory
Hypothesis
Data Collection
Interpretation
1. Presenting Problem
2.Intellectual/Cognitive Problem
3. Administer/Score Intelligence Test
4. Interpret Global Scores or Demands Analysis
5. Cognitive Strengths/Weaknesses
6. Choose Related Construct Test
7. Administer/Score Related Construct Test
8. Interpret Constructs/Compare
9. Intervention Consultation
10. Choose Plausible Intervention
11. Collect Objective Intervention Data
12. Determine Intervention Efficacy
13. Continue/Terminate/Modify
Comprehensive evaluation of cognitive, academic, and psychosocial functioning to assess processing strengths and weaknesseslinked to targeted child intervention©James B. Hale, PhD, MEd, ABPdN
10/18/2018
5The Cognitive Hypothesis Testing Model
Source: Hale, J. B., & Fiorello, C. A. (2004). School Neuropsychology: A Practitioner䇻s Handbook. New York, NY: Guilford Press.
Theory
Hypothesis
Data Collection
Interpretation
1. Presenting Problem
Comprehensive Evaluation for Disability
Determination and Service Delivery
©James B. Hale, PhD, MEd, ABPdN
Clinical Interview: Developmental Issues
Genetics
Fertilization/gestation/birth
Developmental milestones
Illness, trauma, and recovery (records!)
Past and current physical status
Always check hearing, vision, motor,
somatosensory, eating, sleepingConduct thorough family and social history
(constellation, relationships, activities, discipline, family history)Conduct thorough school and occupational
history (chronological, strengths, weaknesses, changes, include prior evaluations)©James B. Hale, PhD, MEd, ABPdN
The Cognitive Hypothesis Testing Model
Source: Hale, J. B., & Fiorello, C. A. (2004). School Neuropsychology: A Practitioner䇻s Handbook. New York, NY: Guilford Press.
Theory
Hypothesis
Data Collection
Interpretation
1. Presenting Problem
2.Intellectual/Cognitive Problem
3. Administer/Score Intelligence Test
4. Interpret IQ or Demands Analysis
5. Cognitive Strengths/Weaknesses
Comprehensive Evaluation for Disability
Determination and Service Delivery
©James B. Hale, PhD, MEd, ABPdN
10/18/2018
6Conducting Assessment Observations
ȈPhysical appearance
ȈDeveloping rapport
ȈOpenness and Disclosure
ȈEye contact, affect, and mood regulation
ȈVerbal (receptive/expressive language)
ȈNonverbal (facial expressions, posture, gestures, mannerisms)ȈVisual skills
ȈMotor skills
ȈHigher order thinking response
ȈAttention
ȈMemory
ȈExecutive function, such as working memory and self-regulation ȈFrustration tolerance, persistence, response to examiner interventionȈValidity statement
©James B. Hale, PhD, MEd, ABPdN
AssessmentsAlternative Assessments
Cognitive to
Achievement
GridVisual
-SpatialLanguageWorking MemoryLong
-TermStorage
-Retrieval FluidReasoningProcessing
SpeedPhonological AwarenessSensory
-MotorFunctionsAttention
Rapid Automatic
Naming
Orthographic ProcessingExecutive Functions
Basic Reading
Skills
Reading
Fluency
Reading
Comprehen-
sion MathCalculation
Math Problem
Solving
Written
Expression
Meeting of the Minds: Start with CHC Interpretation!Learning Disabilities Association of America 2012
WISC-V as a SCREENER of Cognitive Processes:
CHC is a Good Place to Start!
©James B. Hale, PhD, MEd, ABPdN
10/18/2018
7Subtest
Convergent
Language
Crystallized
Memory
Spatial(RH)
Detail(LH)
FluidReason
Attention-
Persist
Executive and
quotesdbs_dbs47.pdfusesText_47[PDF] Math développer et recherche
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