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 mathematicsspecific 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 technologyenhanced 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 standardsbased 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 writeups, 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 writeups 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 writeups, the participants will also create a mathematics lesson that integrates technology and algebra for use in their own classroom.
8. COURSE OUTLINE
I. Classes 12
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 writeups to include in their online portfolios
III. Class 3
A. Participants engage in investigations dealing with calculating probability.
B. Participants complete web page writeups to include in their online portfolios
C. Continued technological teaching and support (especially with Excel and the structure of a writeup)
IV. Classes 45
A. Participants engage in investigations dealing with theoretical and experimental probabilities.
B. Participants complete web page writeups 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 writeups to include in their online portfolios.
VI. Classes 78
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 writeups to include in their online portfolios.
VII. Classes 910
A. Participants engage in the mean, median and mode investigations
B. Participants add writeups to their online portfolios
C. Participants revisit and revise one or more writeups in their online portfolio.
VIII. Class 11
A. Participants complete investigations based on measures of dispersion.
B. Participants add writeups 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 realworld statistics.
C. Discuss and brainstorm ideas about modifying InterMath experience for a middle school mathematics classroom
X. Class 13
A. Each participant creates a technologyenhanced 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 online 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

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 and examine probabilities

Compare experimental and theoretical probabilities


Explain an experimental design and analyze the result
(Click Here to see a list of selected InterMath investigations clustered for Data Analysis )
