Math in Context
NCA Mathematics Resources
Need new ideas? Check out what is happening at BHS with this goal.  

GOAL:  All students will increase their skills in applying math in a variety of curricular contexts.


2006-2007 NCA Math Inservice Opportunity

PROBLEM SOLVING 2006 - 2007

PROBLEM SOLVING BOOKLET (WORD document)

Problem Solving Worksheet (WORD document) - use this form to submit your solutions on..

Month

Problem Solving Strategy with
PowerPoint Lesson

Month

Problem Solving Strategy with
PowerPoint Lesson

SEPT.

PowerPoint:  Draw a Diagram/Picture

JAN.

PowerPoint:  Unit Analysis

Problems: Toni's Trip, Gas Consumption, and/or Leaky Faucet (pages 21 and 22)
OCT.

PowerPoint:  Make a Systematic List

Problems:   Tennis Tournament, Apartment Hunting, and/or Archery Contest (pages 9 and 10)

PowerPoint:  Eliminate Possibilities

Problems:   Downtown Deli, the Conspirators' Code, and/or Letter from College  (pages 11 and 12)
FEB.

PowerPoint:  Solve an Easier Related Problem

Problems: Twenty-five Man Roster, TV Truck, and/or Good Luck Goats (pages 23 and 24)

PowerPoint:  Create a Physical Representation

Problems: Hotel Bill, French Francs, Three-on-Three Basketball, and/or Problem Vats (pages 25 and 26)
NOV.

PowerPoint:  Use Matrix Logic

Problems:   Cabinet members, Ecology Experts, and/or the Barbecue (pages 13 and 14)

PowerPoint:  Look for a Pattern

Problems:  Email Virus and/or Free Internet  (pages 15 and 16)
MARCH

PowerPoint:  Work Backwards

Problems: Dad's Wallet and the ATM, Crossing the River, and/or Golf Clubs (page 27)

PowerPoint:  Draw a Venn Diagram

Problems:  Children Dancers, Music Survey and/or The Flu and You (pages 29 and 30)
DEC.

PowerPoint:  Guess and Check

Problems:  Cascade Park Waterfall, Refinancing, and/or Cell Phone Plans  (pages 17 and 18)

PowerPoint: Identify Sub-Problems

Problems:  ISU Bookstore, The Car Bargain, and/or Test Average (pages 19 and 20)
APRIL

PowerPoint:  Convert to Algebra or Find a Formula

Problems:  Championship Game, Interest, and/or Ticket Price Increase (page 31)

 


submit all solutions to NCAMath@district87.org

 

Check back for more information on the February, 2007 Math Poster Contest!

Works Cited:  Problem Solving Resources-

  • Alfred Binet and Theodore Simon, The Development of Intelligence in Children, trans. E. S. Kite (Baltimore: Williams & Wilkins, 1916), p. 140.
  • Carpenter, Patricia A., Marcel Adam Just, and Peter Shell, "What One Intelligence Test Measures: A Theoretical Account of the Processing in the Raven Progressive Matrices Test," Psychological Review, vol. 97, 1990, pp. 404-31.
  • Dewey, John, How We Think: A Restatement of the Relation of Reflective Thinking to the Educative Process (Boston: Heath, 1933), p. 16.
  • Johnson, Ken, Ted Herr, Judy Kysh, 2004, Crossing the River with Dogs:   Problem Solving for College Students, Key College Publishing,  Emeryville, CA
  • Herbert A. Simon, The Sciences of the Artificial (Cambridge, Mass.: MIT Press, 1981).
  • Herbert A. Simon, "Problem Solving and Education:' in David T. Tuma and Frederick Reif, eds., Problem Solving and Education: Issues in Teaching and Research (Hillsdale, N.J.: Erlbaum, 1980), pp. 81-96.
  • Larkin, Jill H. and Herbert A. Simon, "Why a Diagram Is (Sometimes) Worth Ten Thousand Words," Cognitive Science, vol. 11, 1987, pp. 65-99.
  • Learning Connection, University of South Australia, http://www.unisanet.unisa.edu.au/learningconnection/student/counselling/problemsolving.asp
  • Lindblom, Charles E., "The Science of Muddling Through" Public Administration Review, vol. 19, 1959, pp. 79-88.
  • Martinez, Michael E., What is Problem Solving? http://www.gse.uci.edu/faculty/michael_problemSolving.php viewed 9 August, 2006
  • Polya, George, How to Solve It, 2nd ed. (Garden City, N.Y.: Doubleday, 1957).
  • Reif, Fred and Joan I. Heller, "Knowledge Structure and Problem Solving in Physics," Educational Psychologist, vol. 17, 1982, pp. 102-27.
  • Robson, M 2002, Problem solving in groups, Gower, Aldershot.
  • University of South Australia 2005, ‘Graduate Qualities’, viewed 14 December, 2005
  • University of South Australia 1999, Graduate Qualities Leaflet No. 3, viewed 14 December, 2005
  • Vertigo Interactive Design, 2002, ‘Problem solving’, viewed 14 December 2005, http://www.vis-it.com/application.asp#problem.
  • Wilson , G 1993, Problem solving and decision making, Kogan Page, London.

More Resources

 

This website is brought to you by the 2006-2007 NCA Math Committee at BHS (M. Anderson, M. Cabaj, S. Clapp, D. Duff, M. Gebhard, S. Hoeft, S. McDowell, D. Moore, K. Smith, T. Thakral, S. Yeomans, N. Powell, and C. Helmers).

   


For questions, comments, and/or to add more information to this page 
email: Nancy Powell, chair 

This site was last updated on 09/11/2006

 

 

 

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