Using Technology in the Classroom, Chapter 11
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This chapter discusses using mathematical modeling in education. It describes how to structure spreadsheet activities and the benefits of modeling activities. Simulation and modeling are compared, and how Logo can be used as a learning tool. Robotic competitions and microworlds are also introduced. The steps of data analysis and modeling are outlined. Examples of modeling activities include spreadsheets, microworlds, Logo, and robotics.
Using Technology in the Classroom, Chapter 11
- 1. Copyright © Allyn & Bacon 2008Copyright © Allyn & Bacon 2008 Using Technology inUsing Technology in the Classroomthe Classroom Gary G. Bitter & Jane M. LegacyGary G. Bitter & Jane M. Legacy ChapterEleven This multimedia product and its contents are protected under copyright law. The following are prohibited by law: • Any public performance or display, including transmission of any image over a network; • Preparation of any derivative work, including the extraction, in whole or in part, of any images; • Any rental, lease, or lending of the program
- 2. Copyright © Allyn & Bacon 2 ChapterEleven Mathematical ModelingMathematical Modeling
- 3. Copyright © Allyn & Bacon 2 Focus Questions:Focus Questions: ChapterEleven How can mathematical modeling be appliedHow can mathematical modeling be applied in education?in education? How should a spreadsheet activity beHow should a spreadsheet activity be structured?structured? What are the benefits to using modelingWhat are the benefits to using modeling activities?activities?
- 4. Copyright © Allyn & Bacon 2 Focus Questions:Focus Questions: ChapterEleven How are simulation and modeling activitiesHow are simulation and modeling activities different? Under what conditions is onedifferent? Under what conditions is one approach more effective than the other?approach more effective than the other? How can Logo be used as a learning tool?How can Logo be used as a learning tool? What are robotic competitions?What are robotic competitions? What is a microworld?What is a microworld?
- 5. Copyright © Allyn & Bacon 2 Focus Questions:Focus Questions: ChapterEleven What are some of the latest LogoWhat are some of the latest Logo applications for the classroom?applications for the classroom? List several examples of mathematicalList several examples of mathematical modeling.modeling. Create a problem-solving mathematicalCreate a problem-solving mathematical modeling situation.modeling situation.
- 6. Copyright © Allyn & Bacon 2 Data Analysis Strategy…Data Analysis Strategy… 1.1. Define the problemDefine the problem 2.2. Extract and identify the factorsExtract and identify the factors 3.3. Construct a model to describe theConstruct a model to describe the shape of the reduced datashape of the reduced data ChapterEleven
- 7. Copyright © Allyn & Bacon 2 Modeling…Modeling… 1.1. Observing a system or problemObserving a system or problem 2.2. Constructing a modelConstructing a model 3.3. Identifying variables / constantsIdentifying variables / constants 4.4. Determining relationshipsDetermining relationships 5.5. Developing equation(s)Developing equation(s) 6.6. TestingTesting 7.7. RevisingRevising ChapterEleven
- 8. Copyright © Allyn & Bacon 2 Modeling Activities…Modeling Activities… SpreadsheetsSpreadsheets MicroworldMicroworld www.umcs.maine.edu/~larry/microworlds/microworld.htmlwww.umcs.maine.edu/~larry/microworlds/microworld.html LogoLogo (http://el.media.mit.edu/logo-foundation)(http://el.media.mit.edu/logo-foundation) RoboticsRobotics ChapterEleven
- 9. Copyright © Allyn & Bacon 2008Copyright © Allyn & Bacon 2008 The EndThe End Prepared by Carolyn RoyPrepared by Carolyn Roy ChapterEleven
- 10. Copyright © Allyn & Bacon 2008Copyright © Allyn & Bacon 2008 The EndThe End Prepared by Carolyn RoyPrepared by Carolyn Roy ChapterEleven