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Data Analysis Syllabus


1. PROGRAM TITLE: InterMath - Data Analysis                           

2. GOALS ADDRESSED

    Participants will:

  • Expand and strengthen their mathematical knowledge and capabilities, specifically in the domain of data analysis by investigating challenging data analysis problems
  • Engage in problem solving by identifying patterns, forming conjectures, and developing proofs through the use of technology
  • Use mathematics-specific technologies such as dynamic geometry software, graphing programs, spreadsheets, and the Internet to explore data analysis investigations
  • Write and post online solution processes to the investigations using web page development software
  • Develop middle school mathematics instructional activities and strategies that incorporate technology-enhanced mathematical investigations
  • Develop a network of peer educators available for continued support during and following the workshop

3. IMPROVEMENT PRACTICES

Participants will gain knowledge and practice in developing instructional activities and strategies for teaching data analysis in the middle school classroom in order to positively affect student achievement. Participants will also improve their own mathematical competencies in the area of data analysis.

4. COMPETENCIES

    Participants will be able to:

  • Select and use appropriate technological software to explore, analyze, and represent data analysis problems
  • Communicate their mathematical thinking by expressing their reasoning, analysis, and extensions of the mathematical concepts associated with an investigation in written, verbal, and visual forms
  • Modify data analysis investigations for appropriate use in the middle school classroom
  • Make connections between InterMath experiences and standards-based reform documents, such as the NCTM standards

5. PERFORMANCE INDICATORS

    As a result of this course, participants will demonstrate their ability to:

  • Incorporate technology into the learning and teaching of data analysis concepts
  • Communicate mathematical understanding of a variety of data analysis concepts in the form of an online portfolio of investigation solutions
  • Plan middle school instructional activities based on InterMath experiences

6. PREPARATION PHASE

Dates: Fall 2002
Instructor: Dr. Wilson/Dr. Gootman
Location: UGA campus
Strategies: Internet exploration, electronic and classroom discussions, lectures, exploration of mathematical investigations, investigation write-ups, collaborative brainstorming, lesson planning, presentations

 

7. ASSESSMENT

Participants will be assessed on the content and quality of their online portfolios. Feedback and suggested modifications for a select number of write-ups will be provided throughout the workshop. Assessment will be based on use of representation, analysis, appropriate selection and use of technological tools, creation of extensions, and accuracy of mathematics. In addition to the investigation write-ups, the participants will also create a mathematics lesson that integrates technology and algebra for use in their own classroom.

8. COURSE OUTLINE

I. Classes 1-2

A. Introduction to InterMath
B. Introduction to Technology
C. Work through a data analysis investigation as a whole class using technology
D. Participants engage in Probability activities using Microsoft Excel
E. Participants complete their first web page write-ups to include in their online portfolios

III. Class 3

A. Participants engage in investigations dealing with calculating probability.
B. Participants complete web page write-ups to include in their online portfolios
C. Continued technological teaching and support (especially with Excel and the structure of a write-up)

IV. Classes 4-5

A. Participants engage in investigations dealing with theoretical and experimental probabilities.
B. Participants complete web page write-ups to include in their online portfolios

V. Class 6

A. Participants are introduced to dynamic geometry software.
B. Participants engage in activities dealing with probability and GSP to reinforce their GSP skills.
C. Participants complete web page write-ups to include in their online portfolios.

VI. Classes 7-8

A. Participants engage in investigations dealing with displaying and interpreting data
B. Participants are introduced to Graphing Calculator software
C. Participants engage in activities to develop their graphing calculator skills
D. Participants complete web page write-ups to include in their online portfolios.

VII. Classes 9-10

A. Participants engage in the mean, median and mode investigations
B. Participants add write-ups to their online portfolios
C. Participants revisit and revise one or more write-ups in their online portfolio.

VIII. Class 11

A. Participants complete investigations based on measures of dispersion.
B. Participants add write-ups to their online portfolios

IX. Class 12

A. Participants participate in a discussion about the significance of statistics.
B. Participants engage in investigations based on real-world statistics.
C. Discuss and brainstorm ideas about modifying InterMath experience for a middle school mathematics classroom 

X. Class 13

A. Each participant creates a technology-enhanced mathematical investigation for their own classroom.
B. Participants are encouraged to collaborate with each other for ideas and feedback.
C. Participants will add their lesson plan to their on-line portfolios.

XI. Class 14

A. Each participant presents their instructional activity to the entire class.
B. If the activity was implemented in the classroom, participant will discuss what went well, what was difficult, what can be improved, etc.
C. Each participant will take a mathematics exam

 

9.  MATHEMATICAL CONTENT EXPLORED THROUGH THE INVESTIGATIONS
 

Statistics

  • Explore finding and analyzing the arithmetic mean of a set of data

  • Generate data sets to fit particular sets of criteria

  • Compare various measures of central tendency: mean, median, and mode

  • Analyze changes in measures of central tendency when outliers are introduced or the data set changes

  • Find the line of best fit

  • Determine sample size

Probability

  • Determine and examine probabilities

  • Compare experimental and theoretical probabilities

  • Design a simulation

  • Explain an experimental design and analyze the result

(Click Here to see a list of selected InterMath investigations clustered for Data Analysis )