Teaching statistics and probability: 1981 yearbook
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Reston, Va.
National Council of Teachers of Mathematics
1981
|
| Schriftenreihe: | National Council of Teachers of Mathematics: Yearbook
1981 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 246 S. Illustrationen |
| ISBN: | 0873531701 |
Internformat
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| 490 | 1 | |a National Council of Teachers of Mathematics: Yearbook |v 1981 | |
| 650 | 7 | |a Matemática (estudo e ensino) |2 larpcal | |
| 650 | 7 | |a Probabilidade (textos elementares) |2 larpcal | |
| 650 | 4 | |a Probabilités - Étude et enseignement | |
| 650 | 4 | |a Statistique mathématique - Étude et enseignement | |
| 650 | 4 | |a Mathematical statistics |x Study and teaching | |
| 650 | 4 | |a Probabilities |x Study and teaching | |
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Datensatz im Suchindex
| _version_ | 1804122459395325952 |
|---|---|
| adam_text | Table of Contents
Preface ix
Part I: The Case for Teaching Statistics and Probability
1. Why Teach Statistics and Probability—a Rationale 1
Lionel Pereira Mendoza, Memorial University of Newfound¬
land, St. John s, Newfoundland
Jim Swift, Nanaimo District Senior Secondary School, Na
naimo, British Columbia
An introduction to the other articles in the yearbook, demonstrating
that statistics and probability should be taught for utility, for future
study, and for aesthetic reasons.
Part II: Samples of Existing Courses or Programs
2. Experiential Statistics and Probability for
Elementary Teachers 8
William A. Juraschek, University of Colorado at Denver, Den¬
ver, Colorado
Nancy S. Angle, University of Colorado at Denver, Denver,
Colorado
An activity approach to statistics and probability for prospective ele¬
mentary teachers.
3. Teaching Statistics to Eleven to Sixteen Year Olds: An
Account of Some Development Work in England and Wales ... 18
Peter Holmes, Schools Council Project on Statistical Education,
University of Sheffield, Sheffield, England
Daphne Turner, Schools Council Project on Statistical Educa¬
tion, University of Sheffield, Sheffield, England
A widely tested project using topical modules to teach statistics to
British students.
iii
iv CONTENTS
4. An Elementary Course in Nonparametric Statistics 24
Albert M. Liebetrau, Johns Hopkins University, Baltimore,
Maryland
Nonparametric statistics is increasingly important. A sample course
is outlined, and some detailed examples are presented.
Part III: Classroom Activities
5. Graphically Speaking: Primary Level Graphing Experiences .... 33
Laura Duncan Choate, La Paloma School, Fallbrook, California
Jo Ann King Okey, La Paloma School, Fallbrook, California
(Preschool Grade 3) A range of graphing activities, moving from
concrete to abstract.
6. Using Teaching Devices for Statistics and Probability
with Primary Children 41
Kathleen A. Knowler, Arizona State University, Tempe, Arizona
Lloyd A. Knowler, University of Iowa, Iowa City, Iowa
(Kindergarten Grade 3) Primary level activities—graphing, sorting,
measuring, estimating, playing games—using statistics and probability.
7. Statistical Sampling and Popsicle Sticks 45
Jerry Shryock, Western Illinois University, Macomb, Illinois
(Grades 2 6) Sampling from a population of colored Popsicle sticks
and making predictions about the population.
8. Fair Games, Unfair Games 49
George W. Bright, Northern Illinois University, DeKalb, Illinois
John G. Harvey, University of Wisconsin—Madison, Madison,
Wisconsin
Margariete Montague Wheeler, Northern Illinois University,
DeKalb, Illinois
(Grades 4 8) Appealing classroom games to refine the notions of
fairness and unfairness.
9. Developing Some Statistical Concepts in the
Elementary School 60
Harry Bohan, Sam Houston State University, Huntsville, Texas
Edith J. Moreland, Houston Independent School District, Hous¬
ton, Texas
(Grades 3 6) Graphical and pictorial techniques for determining
the mean, median, and mode.
10. Triples: A Game to Introduce the Facts of Chance 64
Eris Bailey, Towson Senior High School, Towson, Maryland
(Grades 6 8) Using the game of triples to reinforce computation, to
introduce probability, and to practice decision making.
CONTENTS V
11. Random Digits and Simulation 70
Edward Silver, San Diego State University, San Diego, Cali¬
fornia
J. Philip Smith, Southern Connecticut State College, New Ha¬
ven, Connecticut
(Grades 6 9) Generating random digits and examining sequences
for randomness. Simulating a water flow situation.
12. The Student Price Index 73
C. Gail Tibbo Lenoski, Statistics Canada, Vancouver, British
Columbia
(Grades 10 12) Making a student price index as a class project.
13. The Statistics Odds Room 83
Thomas E. Obremski, Ohio State University, Columbus, Ohio
(Grades 10 12) Unusual and motivating games of chance used at
Ohio State s annual High School Day.
Part IV: Teaching and Learning Specific Topics
14. Misconceptions of Probability: From Systematic Errors to
Systematic Experiments and Decisions 90
J. Michael Shaughnessy, Oregon State University, Corvallis,
Oregon
Common misconceptions about probability. Decisions based on the
misconceptions representativeness and availability.
15. Some Statistical Paradoxes 100
H. E. Reinhardt, University of Montana, Missoula, Montana
A collection of paradoxes and apparent paradoxes. Useful for class
exploration and discussion.
16. Simple Graphical Techniques for Examining Data Generated
by Classroom Activities 109
Carolyn Alexander Maher, Rutgers University, New Brunswick,
New Jersey
Applying new techniques (the stem and leaf plot and the median
hinge box plot) to random walks and Markov chains.
17. Random Digits and the Programmable Calculator 118
Lennart Rade, Comprehensive School Mathematics Program,
St. Louis, Missouri (Gothenburg, Sweden)
How to generate random digits with a programmable calculator. Ap¬
plying random digits in simulation activities.
vi CONTENTS
18. Correlation, Junior Varsity Style 126
Annette N. Matsumoto, University of Hawaii Laboratory
School, Honolulu, Hawaii
A presentation of correlation at a level appropriate for junior high
school.
19. An Area Model for Solving Probability Problems 135
Richard D. Armstrong, Comprehensive School Mathematics
Program, St. Louis, Missouri
Applying area notions to solving probability problems. Appropriate
for upper elementary grades through junior high school.
20. Geometrical Probability 143
Richard Dahlke, University of Michigan—Dearborn, Dearborn,
Michigan
Robert Fakler, University of Michigan—Dearborn, Dearborn,
Michigan
A thorough development of geometric probability with examples and
applications appropriate for high school or community college.
21. Evaluating Exact Binomial and Poisson Probabilities
without Tables 154
Harry O. Posten, University of Connecticut, Storrs, Connecticut
A computer algorithm for generating classical probability distribu¬
tions.
Part V: Applications
22. Paradoxes in Sampling 162
Clifford H. Wagner, Pennsylvania State University—Capitol
Campus, Middletown, Pennsylvania
Use and misuse of the principle of indifference. Why the famous
Literary Digest poll of 1936 was wrong. Present day applications for
sampling.
23. Using Consumer Reports as a Resource for Data Analysis
in the Statistics Classroom 168
John W. McConnell, Glenbrook South High School, Glenview,
Illinois
Choosing stereo loudspeakers and evaluating the quality of food at
fast food chains.
24. Applications of Statistics and Probability to Genetics 173
Hunter Ballew, University of North Carolina, Chapel Hill,
North Carolina
Looking at the role of statistics and probability in the development of
genetics from Gregor Mendel s time to the present day.
CONTENTS Vii
Part VI: Statistical Inference
25. Activities in Inferential Statistics 182
Barry V. Kissane, University of Western Australia, Nedlands,
Australia
Making inferences based on sampling a population. The central limit
theorem and its role in statistical inference.
26. Statistical Inference in Junior High and Middle School 194
Walter J. Sanders, Indiana State University, Terre Haute,
Indiana
Studying chance variability in sampling. Using sampling results to
infer population characteristics.
Part VII: Monte Carlo Techniques and Simulation
27. Monte Carlo Simulation: Probability the Easy Way 203
Ann E. Watkins, Los Angeles Pierce College, Los Angeles,
California
How to use Monte Carlo simulations in the classroom. A number of
motivational examples.
28. Using Monte Carlo Methods to Teach Probability and
Statistics 210
Kenneth J. Trovers, University of Illinois at Urbana, Urbana,
Illinois
A brief history of Monte Carlo methods. Examples applying these
methods to a variety of areas in statistics and probability.
Part VIII: Using Computers
29. Solving Probability Problems through Computer Simulation . . . 220
William Inhelder, Herbert Hoover High School, Glendale,
California
A computer program for investigating extrasensory perception.
30. In All Probability, a Microcomputer 225
Howard M. Kellogg, Fiorello H. LaGuardia Community Col¬
lege, Long Island City, New York
Using a microcomputer to study a tontine, to estimate the area of a re¬
gion by Monte Carlo techniques, and to simulate the Buffon needle
problem.
Biblisgraphy (compiled by Stuart A. Choate) 234
Projects (compiled by Ralph H. Klitz, Jr.) 239
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| indexdate | 2024-07-09T17:14:13Z |
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| isbn | 0873531701 |
| language | English |
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| publishDate | 1981 |
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| spelling | Teaching statistics and probability 1981 yearbook Albert P. Shulte, 1981 yearbook ed. ... Reston, Va. National Council of Teachers of Mathematics 1981 X, 246 S. Illustrationen txt rdacontent n rdamedia nc rdacarrier National Council of Teachers of Mathematics: Yearbook 1981 Matemática (estudo e ensino) larpcal Probabilidade (textos elementares) larpcal Probabilités - Étude et enseignement Statistique mathématique - Étude et enseignement Mathematical statistics Study and teaching Probabilities Study and teaching Shulte, Albert P. Sonstige oth National Council of Teachers of Mathematics: Yearbook 1981 (DE-604)BV002779092 1981 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005326712&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Teaching statistics and probability 1981 yearbook National Council of Teachers of Mathematics: Yearbook Matemática (estudo e ensino) larpcal Probabilidade (textos elementares) larpcal Probabilités - Étude et enseignement Statistique mathématique - Étude et enseignement Mathematical statistics Study and teaching Probabilities Study and teaching |
| title | Teaching statistics and probability 1981 yearbook |
| title_auth | Teaching statistics and probability 1981 yearbook |
| title_exact_search | Teaching statistics and probability 1981 yearbook |
| title_full | Teaching statistics and probability 1981 yearbook Albert P. Shulte, 1981 yearbook ed. ... |
| title_fullStr | Teaching statistics and probability 1981 yearbook Albert P. Shulte, 1981 yearbook ed. ... |
| title_full_unstemmed | Teaching statistics and probability 1981 yearbook Albert P. Shulte, 1981 yearbook ed. ... |
| title_short | Teaching statistics and probability |
| title_sort | teaching statistics and probability 1981 yearbook |
| title_sub | 1981 yearbook |
| topic | Matemática (estudo e ensino) larpcal Probabilidade (textos elementares) larpcal Probabilités - Étude et enseignement Statistique mathématique - Étude et enseignement Mathematical statistics Study and teaching Probabilities Study and teaching |
| topic_facet | Matemática (estudo e ensino) Probabilidade (textos elementares) Probabilités - Étude et enseignement Statistique mathématique - Étude et enseignement Mathematical statistics Study and teaching Probabilities Study and teaching |
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