Facilitating Conceptual Learning through Analogy and Explanation

More documents

Recommendations

Info

$C:\Documents and Settings\User\Desktop\April 2002.wpd - Learning ...$

Learning MaterialsPermutations principleImagine there is a set of n different objects and someone chooses somenumber of these objects, say r, and puts them in a specific order. Howmany different orderings of r objects can be taken from the n total objects?To figure this out you need to know the number of permutations,or different orders, that are possible.To find the total number of permutations that are possible you need tokeep two things in mind. First, you must figure out which set of objectsis being chosen from. The number of objects in this set is represented bythe variable n.Etc ….. Formula: P = n(n-1)(n-2)…. (n-r+1)
Learning MaterialsWorked-out example“It is the first day of class at Grant Elementary School and Mr. Smithwants his students to have partners for a science project. There are 5 newstudents and 7 returning students. He wants the 3 new students who needextra help to be paired with returning students. These new students choosetheir partners one at a time, with the first arrival choosing first. In howmany different ways could these new students choose their class partner?”This is a permutation problem.To solve this problem, you need to answer the following questions:The returning students are the objects being chosen. How many returningstudents are available for the new students to choose from? 7. This is thenumber n.Etc….. Formula: P = n(n-1)(n-2)…. (n-r+1)
Page 1 and 2: Facilitating Conceptual Learningthr
Page 3 and 4: ProblemNovices use prior examples t
Page 5 and 6: Today’s TalkMultiple pathways to
Page 7 and 8: Empirical Study (in collaboration w
Page 9: Design Details Domain: math probabi
Page 13 and 14: Test MaterialsDifferent content“A
Page 15 and 16: Design SummaryLearning taskIntroSpe
Page 17 and 18: Design SummaryLearning taskIntroSpe
Page 19 and 20: PredictionsAccuracy predictionsSame
Page 21 and 22: Decision Timed = .55
Page 23 and 24: Today’s TalkMultiple pathways to
Page 25 and 26: Analogical LearningAnalogies can fa
Page 31 and 32: Schema AcquisitionFactors shown to
Page 33 and 34: Worked-out ExampleThe knights of No
Page 35 and 36: Surface-differentThe Puppy Pound Pa
Page 37 and 38: Design DetailsParticipants - 29 UIU
Page 39 and 40: Test - AccessNorth High School has
Page 41 and 42: Design SummaryLearningPrinciple 1Wo
Page 43 and 44: PredictionsNear-miss comparisons sh
Page 45 and 46: Results - Access
Page 47 and 48: ConclusionsMultiple paths to facili
Page 49: Questions?

Facilitating Conceptual Learning through Analogy and Explanation

Create successful ePaper yourself

Delete template?

Save as template?