Elapsed Time . . . Why so much confusion? Slide 1 Rm. 103-105 2:45-4:00 4/19/2013 ___________________________________ Elapsed Time . . . ___________________________________ • What is it? ___________________________________ • Why is it so difficult for students to grasp? ___________________________________ ___________________________________ • Why do teachers become frustrated while teaching it? ___________________________________ ___________________________________ Slide 4 The Mysterious Math Malady “When we ask teachers in graduate courses in primary mathematics what is especially hard for them to teach, the answer they often give is elapsed time. If we ask what makes elapsed time so hard to teach, the teachers become unsure. We made a search of the research literature to find out what is known about this difficulty but found nothing.” Constance Kamii, University of Alabama ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 6 ___________________________________ How would you define ___________________________________ TIME ? ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Elapsed Time . . . Why so much confusion? Slide 7 If TIME is _____________ , then what is ELAPSED TIME? Rm. 103-105 2:45-4:00 4/19/2013 ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 9 Students equate ___________________________________ ___________________________________ = TIME ___________________________________ ___________________________________ • It is critical that we, as teachers, work to clarify this misconception in order for students to conceptually understand the concept of TIME. ___________________________________ ___________________________________ ___________________________________ Slide 10 Exact time vs. Elapsed time ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Elapsed Time . . . Why so much confusion? Slide 12 Rm. 103-105 ___________________________________ 6 6 7 :115 - 5 : 45 1 : 70 60 6 7 hrs. 15 min. - 5 hrs. 45 min. 1 hr. 15 min. 4/19/2013 ___________________________________ When all else fails, try the algorithm! 7 : 15 - 5 : 45 2 : 30 2:45-4:00 60+15=75 7 hrs. 15 min. - 5 hrs. 45 min. 1 hr. 30 min. ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 14 Reform Method . . . what on earth is this? ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 16 This can be a number line. However, since we are talking about TIME today, what else might it be called? PROBLEM: Maria started reading at 8:30. She finished at 10:05. How long did it take her to finish her book? ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Where would start time be recorded? Stop time? Why? ___________________________________ ___________________________________ Elapsed Time . . . Why so much confusion? Slide 19 Rm. 103-105 Use your Time Pieces™ to “count on” from start time to stop time. PROBLEM: Maria started reading at 8:30. She finished at 10:05. How long did it take her to finish her book? 2:45-4:00 4/19/2013 ___________________________________ ___________________________________ ___________________________________ ___________________________________ 8:30 10:05 ___________________________________ ___________________________________ ___________________________________ Slide 20 Place each piece on your time line and record the time under it as you “count up” to the stop time. ___________________________________ ___________________________________ ___________________________________ ___________________________________ 8:30 9:30 10:00 10:05 ___________________________________ ___________________________________ ___________________________________ Slide 21 Where’s my answer? Jabar started reading at 8:30. He finished at 10:05. How long did it take him to finish his book? ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ 1 hr 60 min + 5 min + 30 min= 35 min ___________________________________ ___________________________________ Elapsed Time . . . Why so much confusion? Slide 24 Choosing manipulatives Be careful to choose manipulatives that do not “cripple” students. A “good” manipulative : Rule #1- Allows for multiple strategies/solutions. Rule #2- Connects to mathematical concepts that have already been introduced (i.e. fractions). Rule #3- Is able to be represented pictorially (drawn) after familiarity or when the manipulative is not available. Rm. 103-105 2:45-4:00 4/19/2013 ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 25 Now HEAR this! Prior to State Assessments . . . It is my responsibility (as the teacher) to make sure that my students have drawn every single math manipulative in my classroom. How can I do THAT? ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ ___________________________________ Slide 30 ___________________________________ Barbara Spotts [email protected] www.JohnnysKey.com ___________________________________ ___________________________________ ___________________________________ Cell: 570-809-2840 ___________________________________ “The journey IS the destination.” ___________________________________ ___________________________________
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