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Example Problem #4Question: Smith, Jones, and Miller have decided to split profits fromtheir business, so that Smith gets three times as much as Jones,and Jones get twenty less than twice smith. How much will eachget if they are to share a profit of $2016?Solution:We use algebraic variable, x, to represent the unknown. Let x representJones share of profit. Then Smith gets 3x and Miller will gets 2x - 20Using Comparison model, we can form an equation:3x + x + (2x -20) = 2016The solution of the equation isx = 336.We can draw a Comparison model2016x2x - 20201/1/201211/19/2011
Conclusion• The Singapore Mathematics Model Framework focuses on using analternative approach to reduce inherent problems of algebraicmanipulation skills used in interpreting application word problems inarithmetic and algebra. The Model Method has been demonstrated inthis presentation to show how an alternative approach can be used insolving word problem in college pre-algebra and algebra. In theseexamples we can see that students can apply basic mathematics conceptsand skills in solving application word problems and developingmathematical thinking. The model method has important feature ofSingapore primary mathematics curriculum.• Problem representation involves data (quantities and quantitativerelationship) and question. Students understanding of the problemsituation, relationship between the known and unknowns enable themto solve the problem. This is schematically shown in the next slide.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 46 and 47: Conclusion cont’dWordproblemProbl
Page 48 and 49: Conclusion cont’d• We conscious
Page 50: Conclusion cont’d• Moreover, th

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