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Making Sense of Mathematics. Diane Leighty October 11, 2013 Norfolk Public Schools [email protected]. Goals: Using quality tasks in math instruction. Understand the importance of TEAM in group work Explore quality tasks Discuss case studies of classroom instruction - PowerPoint PPT Presentation
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Goals: Using quality tasks in math instruction Understand the importance of TEAM in
group work Explore quality tasks Discuss case studies of classroom
instruction Learn how to find or create rich tasks
Challenges New way of teaching New way of creating learning
experiences Limited knowledge of how to translate
real world situations into mathematics lessons for high school students
Increased RigorIncreasing rigor does not mean making the math harder; it does mean having students engage in doing mathematics and thinking harder about the mathematics.
(Vickie Inge)
Team Building Activity 20 minutes to solve the Zin Obelisk
Problem Do NOT show your cards to the other
participants in your group. Share information ORALLY within the
group.
Team Building Discussion of why this is important…
What are some of the goals? When and how often? Role of the teacher?
Exploring Problems A man entered an orchard that had 7
guards and picked some apples. When he left, he gave the first guard half his apples and 1 apple more. To the second guard he gave half his remaining apples and 1 more. He did the same to each of the remaining five guards and left the orchard with 1 apple. How many apples did he gather in all? Explain how you solved the problem.
Exploring Problems (Continued) Find the sum of the numbers from 1 to
25 without using a calculator, just adding the numbers. Describe the strategy you used and why you think it worked.
Exploring Problems (Continued) There were three stacks of bills, one of
$5, one of $10, and one of $20. If the total was $1,000 and no two stacks could have the same number of bills, what is a possible solution for the number of bills in each stack? Explain how you could find many solutions to this problem.
Case Studies Lakewood High School Mathematics
Teacher Jerome Robinson’s 7th Grade Class
Discussion of the two classrooms…..
Counting Trains Work with one or two partners to
complete this activity.
Counting Trains What standards are incorporated into
the problem?
Dan Meyer Talk If time allows we will listen to his talk
from 2010 about high school mathematics instruction and open-ended problems.
NCTM Article Mathematics Teacher, October 2013:
Open-Ended Questions
