Slide 1
Anne Henderson
University College, Bangor Wales
Dyscalculia
Slide 2
Assessment Tests for Students with SpLD
Single topics - IEPs
Observe
Discuss
Do not pre-judge
Identify learning style
Slide 3
Specific Tests
Reliable test
Results
Provides comparison
Identifies difficulties
Diagnostic information
Slide 4
Dyscalculia Screener (2002)
Annual licence costs £150 (manual +CD)- Licence renewal costs £50.00
Graphical display relating to
dyscalculia
learning / teaching difficulty
problems with symbols
average maths ability
Slide 5
Formative Assessment
Helps students to improve
Change in four aspects of work:
Question and answer dialogue in class
Marking homework
Peer and self-assessment
Involvement of students
Slide 6
Assessment of Written work
Closed questions marked in class
Decide carefully
what to assess
what outcome
specific purposes
assess processes
Open questions
Marking policy
Statements of assessment
Copies of marking policy
Slide 7
Questions
Better to ask
Tell an answer
Variety of questions
Listen
Analyze thinking
Slide 8
Different answers
e.g. What numbers add to make 10?
6 + 4 || 9 + 1 || 3 + 7 || 4 + 3 + 3 || 2 + 7 +1 || 2 + 2 + 6 || 2½ + 7½ || 4½ + 5½ || 1½ + 8 ½
What are you doing?
Why that way?
What have you learned so far?
Can you remember doing this before?
What do you need to know about that?
Slide 9
Closed Questions
Give a precise answer
e.g. What must I add to 4 to make 10?
Discover exact knowledge
e.g. What are two sixes?
Slide 10
Closed question - Open question
| Closed Questions | Open Question |
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Slide 11
Learning Styles (Vail 1993)
Available for maths?
Listen
Importance of 'talk'
2D or 3D material?
Simultaneous or sequential?
How does the student learn?
Eager to make connections?
Slide 12
The Verbal/ Auditory Learner (Inchworm)
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Slide 13
The Visual Learner (Grasshopper)
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Slide 14
Differences in learning
Successive pictures
Two modes in competition
'Mental zoom'
Verbal thinkers notice differences
Visual thinkers notice similarities
Slide 15
Language, Memory and Sequences
Verbal rehearsal
Activation of visual processing
Grid a visual global frame
{Wilson & Emmorey (97)}
Simultaneous global viewing
Diagrammatic answers
Slide 16
Grid Reference (La Garanderie 1996)
| Visual Learner | Verbal/Auditory Learner | |
| Visual Teaching | Perceived easily, (waits until whole picture is complete) | Describes picture with mental comments |
| Verbal/Auditory Teaching | Evokes a mental picture which blurs dramatically if there is stress | Perceived easily |
| Kinaesthetic Teaching | Evokes a mental picture | Triggers a verbal mental activity |
Slide 17
Effective Teaching
Better qualified
Inset training
Length of service
Slide 18
Mathematics Teaching
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Slide 19
Types of Teacher Orientations
Different Orientations:
Discovery
Transmission
Connectionist
Slide 20
Discovery (Student - Mathematics)
Responsibility of students
Student's independence
What is learned
Lack of readiness
Natural order for all mathematics
Slide 21
Transmission (Teacher - Mathematics)
Emphasis on teaching
Access to maths
Responsible for learning
Manipulation of symbols
Same method
Slide 22
Connectionist (Teacher, Student, Mathematics)
Teach and learn
Teacher a learner too
Listens to student
Network of connections
Much discussion
Slide 23
Summary
If teaching is
positive, building on strengths,
multi-sensory
systematic, structured and sequential,
not overloaded,
focused on learning style,
when every individual is valued then it should be successful