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Conclusion cont’d• We consciously made use of schemas such as the Partwholeand Comparison models which are building blocksfor mental structures and cognitive processes. In addition,we interpreted the learning of algebraic method withmodel method building schemas as well.• The Model Method recognizes metacognition which wasearlier defined as self regulation of learning; enhancingstudents problem solving abilities.• The Model Method adopted Polya’s 4-step solving processwhich involves:1/1/201211/19/2011
Conclusion cont’d• 1. Understanding the problem:- Construct the information• 2. Drawing a plan: – Draw a model• 3. Carrying out the plan: – Carry out computation• 4. Check solution or looking back:- Checking reasonability of asolution or seeking alternative solutions.• You can see that the use of Part-whole andComparison models as pictorial representations,facilitates meaningful learning of the abstractconcept of the four operations, fraction, ratio &proportion, and percentages in pre-algebracourses. Students will be able to draw a pictorialmodel as a virtual representation of known andunknown quantities and their relationship.1/1/201211/19/2011
Page 1 and 2: Presenters:Dr. Umesh NagarkatteLavo
Page 3 and 4: Background -• Singapore Mathemati
Page 7: 11/19/2011Mathematics Framework•
Page 12: AttitudesAttitudes here refers to t
Page 16: Comparison ModelAddition and Subtra
Page 24 and 25: Example Problem #1-FractionPart-Who
Page 26 and 27: Example #1-RatioComparison Method
Page 28 and 29: Example #3-RatioPart-Whole Method
Page 30 and 31: Example #2- PercentagesPart- Whole
Page 32 and 33: Model Method & ProblemSolving• Mo
Page 34 and 35: Example problem #2. A store gives 1
Page 36 and 37: Part-Whole Model in Problem solving
Page 38 and 39: Comparison Model cont’d• The pi
Page 40 and 41: Example problem #1. A couch cost 5
Page 42 and 43: Sample Question #3 High school grad
Page 44 and 45: Example Problem #4Question: Smith,
Page 46 and 47: Conclusion cont’dWordproblemProbl
Page 50: Conclusion cont’d• Moreover, th

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