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Problem Solving

. . Problem Solving. A problem is a situation, quantitative or otherwise, that confronts an individual or group of individuals, that requires resolution, and for which the individual sees no apparent path to the solution.. . . Types of Problems. 1. Research Prove a hypothesis e.g. A scientific hypothesis may be that CFCs (chlorofluorocarbons) are destroying the earth's ozone layer.2. Understanding e.g. an engineer notices that the chemical plant can make more product when it rains..

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Problem Solving

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    1. Problem Solving

    2. Problem Solving A problem is a situation, quantitative or otherwise, that confronts an individual or group of individuals, that requires resolution, and for which the individual sees no apparent path to the solution.

    3. Types of Problems 1. Research Prove a hypothesis e.g. A scientific hypothesis may be that CFCs (chlorofluorocarbons) are destroying the earth’s ozone layer. 2. Understanding e.g. an engineer notices that the chemical plant can make more product when it rains.

    4. Types of Problems 3. Trouble shooting e.g. an electronic amplifier has a loud “hum” when it is in a room with fluorescent lights. 4. Math Problems e.g. find x such that 4x + 5 = 0.

    5. Types of Problem 5. Money Problems e.g. how will we get the money to build our new factory? 6. Social Problems e.g. how can we improve education? 7. Design Problems e.g. design a new car.

    6. Design Problems Design problems are the epitome of engineering. They require creativity, teamwork, and board knowledge. Poorly posed design problem: Design a new car.

    7. Design Problem Well Posed Design Problem: Design a new car that can: 1. Go from 0 - 60 mph in 6 seconds 2. Gets 50 miles/gal 3. Costs less than $10,000 to the consumer 4. Does not exceed government pollution standards 5. Appeals to aesthetic tastes

    8. Problem Hierarchy 1. Identify Problem e.g. we need to build a new car since we are losing market share 2. Synthesis (integrating parts to for a whole) e.g. we can combine an aerodynamic body with a fuel efficient engine to make a new car with very high fuel efficiency

    9. Problem Heirarchy 3. Analysis identify relationships, distinguish fact from opinion, detect logic information, make conclusions from evidence, select relevant information, TRANSLATE REAL-WORLD PROBLEM INTO MATHEMATICAL MODEL e.g. compare the drag of different body types and determine if engine can fit under the hood

    10. Problem Heirarchy 4. Application (identify the pertinent information) e.g. What force is required to allow the car to go 60 mph knowing the car has a 30ft2 projected area and a 0.35 drag coefficient based on wind tunnel data?

    11. 5. Comprehension (use the data and explicit theory to solve the problem) F = 1/2 Cd ? A V2 F=force Cd=drag coef. r=air density A=protected frontal area V=speed Problem Hierarchy

    12. Problem Solving Problem solving is a process, an activity whereby a best value is determined for an unknown, subject to a specific set of conditions. It is a means by which an individual uses previously acquired knowledge, skills and understanding to satisfy the demands of an unfamiliar situation.

    13. What skills must be used when solving a problem? Knowledge Motivation Experience Communication Skills Learning Skills Group Skills

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