STATISTICS FOR CLASSROOM TEACHERS - New V556) For All Practical Purposes-II. Statistics: The Science…

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  • STATISTICS FOR CLASSROOM TEACHERS

    Ma 609

    Course Description

    This course is designed to develop an appreciation and general understanding of

    statistics. It offers an interpretation of fundamental statistical concepts as applied

    in the fields of education. A mathematics background (i.e., advanced

    mathematics courses) is not required.

    Goals of the Course

    1. To provide mathematics teachers understanding of statistics in relation to

    numerous practical situations.

    2. To provide insight into the fundamental concepts of statistics; collection,

    organization, analysis and interpretation of numerical data.

    3. To provide familiarity with technology available to assist in preparing

    statistical reports.

    4. To instill the importance of problem solving, communication, and reasoning in

    the mathematics curriculum.

    5. To emphasize the importance of experimentation and exploration in the

    learning probability and statistics.

    Instructional Procedures

    The course is conducted in such a way that it provides a model for the teaching

    process and thus includes use of simulation, experimentation, and technology in

    the classroom.

    Course Content

    1. Introduction to the importance of statistics.

    2. Measures of center.

    3. Measures of variability and spread.

    4. Distribution of data.

    5. Organizing and displaying data.

    6. Probability and the binomial distribution.

    7. Normal distribution and standard normal curve.

    8. Distribution of sample means (Central Limit Theorem).

    9. Sampling error, confidence intervals, and hypothesis testing.

    10. Regression, correlation, and curve fitting.

    11. Two-way tables and the Chi-square test.

    12. Random sampling, simulation, and Monte Carlo technique.

  • Evaluation Measures

    1. Class participation, presentations, and projects.

    2. Reaction papers on films and readings.

    3. Homework assignments.

    3. Exams.

    4. Portfolio of semesters projects and work.

    Bibliography

    A. Required Text

    Shulte, Albert P. and James R. Smart, eds., Teaching Statistics and

    Probability: 1981 Yearbook, National Council of Teachers of Mathematics,

    Reston, VA, 1981.

    Johnson, Robert, Just the Essentials of Elementary Statistics, Wadsworth

    Publishing Co., Belmont, CA, 1995.

    Weinberg, Sharon, and Kenneth Goldberg, Basic Statistics for Education and

    The Behavioral Sciences, Houghton Mifflin Co., Boston, 1993.

    B. Additional Required Readings

    Burrill, Gail, et al., Data Analysis and Statistics across the Curriculum:

    Addenda Series, Grades 912, National Council of Teachers of Mathematics,

    Reston, VA, 1992.

    Huff, Darrell, How to Lie with Statistics, W. W. Norton & Co. Inc., New

    York, 1954.

    C. Supporting Bibliography

    Lindquist, Mary M., et al., Making Sense of Data: Addenda Series, Grades

    K6, National Council of Teachers of Mathematics, Reston, VA, 1992.

    Mosteller, Frederick, Stephen E. Fienberg, and Robert E. K. Rourke, Beginning

    Statistics with Data Analysis, Addison-Wesley, Reading, Mass., 1983.

    National Council of Teachers of Mathematics, Principles and Standards for

    School Mathematics, Reston, VA, 2000.

    Rossman, Allan J., and Barr von Oehsen, Workshop Statistics: Discovery with

    Data and the Graphing Calculator, Key Curriculum Press, Berkeley, Calif., 1997.

  • Scheaffer, Richard, et al., Activity-Based StatisticsInstructor Resources,

    Springer-Verlag Inc., New York, 1996.

    Standards for Curriculum and Evaluation, National Council of Teachers of

    Mathematics, Reston, VA, 1989.

    Tufte, Edward R., The Visual Display of Quantitative Information, Graphics

    Press, Cheshire, CT, 1983.

    Zawojewski, Judith, et al., Dealing with Data and Chance: Addenda Series,

    Grades 58, National Council of Teachers of Mathematics, Reston, VA, 1991.

    D. Relevant Periodical Sources

    Data Analysis, focus issue of the Mathematics Teacher, February 1990.

    Data Exploration, focus issue of the Teaching Children Mathematics,

    February 1996.

    Consortium, newsletter of the Consortium of Mathematics and its

    Applications (COMAP).

    E. Other Resources

    Software

    Minitab and/or other statistical packages.

    Websites

    CHANCE

    http://www.geom.umn.edu/docs/snell/chance

    StatVillage

    http://www.math.sfu.ca/stats/Innovation/StatVillage/index.html

    Videos

    Against All Odds: Inside Statistics Annenberg/CPC Collection*

    #1 What is statistics?

    #2 Picturing distributions. (V545)

    #3 Describing distributions.

    #4 Normal distributions. (V546)

    #5 Normal calculations. (V547)

    #9 Correlation. (V549)

    #14 Samples and surveys. (V551)

  • #15 What is probability?

    #16 Random variables. (V552)

    #17 Binomial distributions.

    #18 Sample mean and control charts. (V553)

    #19 Confidence intervals.

    #20 Significance tests. (V554)

    #21 Inference for one mean.

    #22 Comparing two means. (V555)

    #23 Inference for proportions.

    #24 Inference for two-way tables. (V556)

    For All Practical Purposes-II. Statistics: The Science of Data, Telecourse,

    Consortium of Mathematics and its Applications (COMAP).*

    (V1754)

    (V1755)

    (V1756)

    Math TV: Statistics and Probability, Consortium of Mathematics and its

    Applications (COMAP).

    Statistics: Decisions through Data, Consortium of Mathematics and its

    Applications (COMAP).

    #16 Basic Data Analysis

    #710 Data Analysis for One Variable

    #1114 Data Analysis for Two Variables

    #1518 Planning Data Collections

    #1921 Introduction to Inference

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