B39, Revisiting the World Series problem (student view), Grade 11, January 29, 1999, raw footage
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MovingImage
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Research data
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Observational data
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Raw data
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Repurposed data
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Longitudinal data
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School
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Qualitative research
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Educational interventions (small group)
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Topic
Sample of human subjects
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Mathematics education
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Topic
Learning, Psychology of--Case studies
Subject
(authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
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(authority = Grade range)
Subject
(authority = NCTM Content)
Topic
Number and operations
Subject
(authority = NCTM Process)
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Topic
Reasoning and proof
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(authority = NCTM Process)
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Data analysis and probability
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Proportional reasoning
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(authority = rbdil_forms of reasoning, strategies and heuristics)
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Referencing a previous problem
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Multiplicative reasoning
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Combinatorics notation
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(edition = Data)
PhysicalDescription
Extent
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1
InternetMediaType
video/x-flv
TargetAudience
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Social science
TargetAudience
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Mathematics education
Note
(type = supplementary materials)
Transcript and student work are also available.
Note
(type = APA citation)
Robert B. Davis Institute for Learning. (1999). B39, Revisiting the World Series problem (student view), Grade 11, January 29, 1999, raw footage [video]. Retrieved from
Name
(type = personal)
NamePart
(type = family)
Maher
NamePart
(type = given)
Carolyn Alexander
Role
RoleTerm
(type = text);
(authority = marcrelator)
Researcher
Affiliation
Rutgers, the State University of New Jersey
Name
(type = personal)
NamePart
(type = family)
Speiser
NamePart
(type = given)
Robert
Role
RoleTerm
(type = text);
(authority = marcrelator)
Researcher
OriginInfo
Place
PlaceTerm
(type = text)
New Brunswick, NJ
Publisher
Robert B. Davis Institute for Learning
CopyrightDate
(qualifier = exact);
(encoding = iso8601);
(point = start)
1999-01-29
DateCreated
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2014-03-15
Subject
Name
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NamePart
(type = corporate)
David Brearley High School (Kenilworth, N.J.)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Jeff (student)
Subject
Name
(authority = RBDIL_personal)
NamePart
(type = personal)
Michael A. (Kenilworth, student)
Subject
Name
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NamePart
(type = personal)
Romina (student)
Subject
Name
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NamePart
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Ankur (student)
Subject
(authority = rbdil_district)
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Kenilworth Public Schools
RelatedItem
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TitleInfo
Title
B40, Revisiting the World Series problem (work view), Grade 11, January 29, 1999, raw footage
Identifier
(type = rbdil)
B40-19990129-KNWH-WV-CLASS-GR11-PROB-WS-RAW
RelatedItem
(type = is referenced by)
TitleInfo
Title
Tracing the development of probabilistic thinking : profiles from a longitudinal study / by Regina Dockweiler Kiczek.
Identifier
(type = lccn)
QA.K62 2000
Identifier
(type = rbdil)
B39-19990129-KNWH-SV-CLASS-GR11-PROB-WS-RAW
Abstract
(type = summary)
A week after the first time they worked with the World Series problem, Ankur, Jeff, Michael, and Romina met a second time to work on the World Series problem. Brian was not available for this session. Researcher Bob Speiser, who had not been present the week before, asked the students to explain their work on the World Series problem. While explaining the problem to Researcher Speiser, the group creates an area model to represent a two game series. Romina explains that although this was a model of a two game series, their results could be generalized. Michael explains his use of binary notation and the relationship the group found between their results and entries in Pascal's Triangle. Researcher Speiser poses a more general version of the World Series problem, asking what would happen if the teams were not equally matched. The students were asked to consider the outcomes under the condition that the home team is twice as likely to win as the away team. The students worked on the problem using various strategies (e.g., multiplying, listing all possibilities, area model) for approximately an hour. The students present their solution to Researcher Speiser and Researcher Maher who then shows the group a solution to the problem produced by another student. Researcher Maher said she found the solution confusing and asked the group how they would respond to the student. The group tries to make sense of the other student's work and compares their work to the other student's. Michael conjectures that the two solutions are correct answers but to different questions. Ankur, Jeff, and Romina write a letter to the other student saying: "Your 70 possibilities are not equally likely to happen. One of your possibilities is winning 4 out of 4 games and another is 4 games out of 7. They are not equally likely to happen. Your probability means nothing." The session ends with Researcher Maher saying that she will deliver the groups letter to the student. The World Series Problem: In a World Series two teams play each other in at least four and at most seven games. The first team to win four games is the winner of the World Series. Assuming that the teams are equally matched, what is the probability that a World Series will be won: a) in four games? b) in five games? c) in six games? d) in seven games?
Extension
DescriptiveEvent
Label
Ed.D. dissertation references the video footage that includes B39, Revisiting the World Series problem (student view), Grade 11, January 29, 1999, raw footage
Place
Rutgers, the State University of New Jersey, New Brunswick, NJ
DateTime
(point = start);
(encoding = iso8601);
(qualifier = exact)
2000
AssociatedEntity
Name
Kiczek, Regina Dockwiler
Affiliation
Rutgers, the State University of New Jersey
AssociatedObject
Name
Tracing the development of probabilistic thinking : profiles from a longitudinal study
Identifier
(type = lccn)
QA.K62 2000
Reference
(type = physical)
QA.K62 2000
Detail
Dissertation is available in paper format in the Rutgers University Libraries' dissertation collection.
TitleInfo
Title
B39, Revisiting the World Series problem (student view), Grade 11, January 29, 1999, raw footage
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TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
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rucore00000001201
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NjR
Identifier
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doi:10.7282/T3S75DGS
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