collaborative conversations making connections: addressing students’ misconceptions in statistics...
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Collaborative ConversationsCollaborative Conversations
Making Connections: Making Connections: Addressing Students’ Addressing Students’
Misconceptions in StatisticsMisconceptions in Statistics
December 6, 2011Maryann FitzgeraldBeth ShefelkerJudy Winn
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What is due?What is due?When is it due?When is it due?
Intervention Project: January 10**
Statistics and Probability Resource Binder◦Part A Draft: December 13
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Intervention Project Intervention Project SummarySummaryDescription of your goalThe concept you focused onThe studentsYour intervention plan (form or
description)OutcomesWho you shared your project with and
their reactionsPre and post assessments (post its
describing what work indicates)Progress monitoringNotable artifacts
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Examples: Goal and Examples: Goal and ConceptConceptGoal: The CABs identified that
students had difficulty with the traditional algorithm for adding two and three digit numbers and had no other strategies. The goal of the intervention was to increase the strategies they could successfully use.
Concept: Use place value understanding and properties of operations to add and subtract.
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Resource Binder Resource Binder Part A Part A draftdraft : Reflection on your own : Reflection on your own learninglearningIdentify experiences in this class
that helped you increase your understanding and gain confidence teaching the Four Big Statistical Content Ideas and the statistical process.
Focus on your own knowledge and understanding and its impact on your teaching.
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ReflectionReflection
Support what you say with resources such as the introduction to Navigations, class activities, and the lectures.
This is your first draft of this assignment. You will add to this in the spring. (due May 15).
This should be in narrative form.This is worth 5% of your grade.
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CriteriaCriteriaThoughtfully addresses your own
learningRelates your learning to your
teachingDraws on sources from
class/readings
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COLLABORATIVE COLLABORATIVE CONVERSATIONCONVERSATION
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What is the conversation you need to craft in order to help your colleague understand the process and the characteristics of a good statistical question?
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COLLABORATIVE COLLABORATIVE CONVERSATION:CONVERSATION:
REMEMBER!REMEMBER!We all have different perspectives, experiences, and knowledge bases.
Effective collaboration requires that you view and accept each other as equals.
The goal is to come to a common understanding of the task and to proceed using your best collaborative skills.
Focus on the challenge of the problem you are both facing and not on the perceived shortcomings of your partner.
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MAKING CONNECTIONS: MAKING CONNECTIONS: ADDRESSING ADDRESSING STUDENTS’ STUDENTS’ MISCONCEPTIONS IN MISCONCEPTIONS IN STATISTICSSTATISTICS
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Chocolate Chip Cookie Chocolate Chip Cookie ProblemProblemMrs. Reynolds fifth grade class is
completing a two-week study of mean, median and mode.
Read the description at the top of the cookie problem and complete the problem.
Share your work.What is it that studentsneed to understand?
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Identifying an intervention Identifying an intervention groupgroupWhat misconceptions might Ms.
Reynolds anticipate?Flip your paper over and read
Catherine, Marcus, and Brittany’s responses to the problem
With your table group, come to consensus about each student’s misconception
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Math MisconceptionsMath MisconceptionsRead 148-150Compare your results to what is in
the book. Read What Research Says on
p.150 and the Ideas for Instruction◦In what way does the research connect to the work we have done in Math Alliance to support all learners?
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Thinking about Catherine, Thinking about Catherine, Marcus and BrittanyMarcus and Brittany
Consider Brittany, Catherine and Marcus as your intervention group. As a group, identify your goal and describe an intervention you might use. Be prepared to share.
* You may draw from pg. 151-152 and/or other experiences from class.
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Collaborating to gather Collaborating to gather ideasideasFind a partner from a different
group.Share your intervention idea with
each other.Switch partners and repeat the
process.Return to your group and use
ideas gathered from your sharing to enhance your intervention idea
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Less than half of thirteen-year olds in the United States are able to find the median of a set of data listed in order from least to greatest. And when the data isn’t listed in order or in a frequency table, student performance may be even worse.
(Carpenter et al., 1981; Zawojewski, 2002)
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A focused look at a traditional junior high school statistics topic – mean, median, and mode – indicates that students’ performance may reflect a mastery of memorized procedures rather than a thorough understanding of the underlying concepts.
(Zawojewski, 2002)