Developing Proficiency in Fraction Operations: Chinese Computational Strategies

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I Can
Lois Gordon Moseley
Infinite Possibilities with NUMBERS
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L R
Equity All Means ALL
Focus of the Year 2008 - 2009
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L R
Expectations are actions.
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Aocedrnig to rscheearch at an Elingsh uinervtisy,
it deosnt mttaer in waht oredr the ltteers in a
wrod are, the olny iprmoetnt tihng is that frist
and lsat ltteer is at the rghit pclae. The rset
can be a toatl mses and you can siltl raed it
wouthit porbelm. Tihs is bcuseae we do not raed
ervey lteter by istlef but the wrod as a wlohe.
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Problem Solvers
Eric Jolly
Capacity Engagement Continuity
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Fish discover water last.
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When you starve with the tiger, the tiger eats
last.
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Learning Pyramid
Average Learning Retention Rates
National Training Laboratories, Bethel, Maine
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Attitude
I can help you do better. versus I know you can
do better.
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Play Ball
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Busy is better than bored. Accomplishment
influences confidence and confidence influences
accomplishment.
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Mathematics Starters
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What mathematics do you see?
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Engage . . . stimulates the learners curiosity.

• How can you move four cotton swabs in order to
  halve the area of the figure?

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Instant Replay
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The voice reinforces semantic memories.
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Language elements needed for effective
communication and comprehension in the area of
mathematics
Explain

• Academic Language
• Symbolic Language
• Content Language (Vocabulary)

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Academic Language

• Is used to communicate what students should know
  and be able to do in state standards.Describe,
  explain, simplify, predict, interpret, etc

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Academic language
How can you put these into groups How can you
classify Lets work this problem Lets
analyze this problem
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Response Starters
The shape is a The shape is classified as
a The answer is These are the steps I
took to find the answer
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Symbolic Language

• Is used to demonstrate understanding and
  interpretation of mathematical notations.Figures
  and Organizers

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Read Aloud!
? ?
? ?
From Take Ten?
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Parallel Modeling
Teacher
Student
3x 4 20 3x 4 4 20 4 3x 24
3x 24 3 3 X 8
5x 6 21
1. Read 2. Property
From Take Ten?
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Content Language(Vocabulary)

• Is technical language associated with the
  sometimes abstract concepts and skills of
  mathematics.

Quotient, translation, base, etc
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Explore. . . To satisfy curiosity.
Write a question that can be answered using the
models. Answer the question.
helping words vertices, edges, faces, angles,
pyramid, cube
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Word Power
net n. A openwork fabric, B profit, C court
barrier, D pattern. ANSWER net n. D pattern
a pattern to be cut and folded to make a solid
shape.
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NOV3007
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(No Transcript)
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NOV3007
All Natural! No Preservatives!
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Errors
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Listen for clues of misunderstanding such as
mispronounced words and breaks in the reading
pattern or rhythm.
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(No Transcript)
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Formula Translation Activity Sample
From Take Ten?
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Hits and Runs
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Replace reteach activities with corrective
techniques.
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Evaluate. . . the student's understanding.
Error Corrective Techniques
29 x 3 27 60 87
2 29 x 3 127
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Practice
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Practice makes permanent. Differentiate practice.
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Explore. . . To satisfy curiosity.
Write a question that can be answered using the
design. Answer the question.
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Signals
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Little things have big meanings.
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UP
COP
JR
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Team Effort
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Group membership tends to make students feel more
connected and increases personal confidence and
satisfaction
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ABC Brainstorm
Perimeter
ABC DEF GHIJKL MNO PQR STU VWX YZ
From Take Ten?
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Good Luck Charms
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Be flexible in the use of tools. Embrace
multiple techniques.
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Extend or Elaborate
Teaching is the insertion of an inventive mind
between a fact and a pupil. William James
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Extend or Elaborate. . . the concept into other
content areas.
Science
Geography
Art
Physical Education
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Play Book
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Standards
The curriculum is the currency of a quality
education.
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Pre-Game Show
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Celebrate with Success Assignments.
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Evaluate
Every student is entitled to be valued by
his/her best moments. Ralph Waldo Emerson
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I Can
Lois moseley_at_hotmail.com
www.NUMBERSmpd.com
Infinite Possibilities with NUMBERS