STATISTICS FOR CLASSROOM TEACHERS
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
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.
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
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.
1. Class participation, presentations, and projects.
2. Reaction papers on films and readings.
3. Homework assignments.
4. Portfolio of semesters projects and work.
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
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,
Consortium, newsletter of the Consortium of Mathematics and its
E. Other Resources
Minitab and/or other statistical packages.
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).*
Math TV: Statistics and Probability, Consortium of Mathematics and its
Statistics: Decisions through Data, Consortium of Mathematics and its
#16 Basic Data Analysis
#710 Data Analysis for One Variable
#1114 Data Analysis for Two Variables
#1518 Planning Data Collections
#1921 Introduction to Inference