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Non-routine counting problems, Clip 3 of 8: Candy hearts interview with Stephanie

Descriptive

TypeOfResource
MovingImage
Genre (authority = RURes_Genre)
Research data
Genre (authority = RURes_dataGenre)
Observational data
Genre (authority = RURes_dataLifecycle)
Edited data
Genre (authority = RURes_dataLifecycle)
Repurposed data
Genre (authority = RURes_researchDataType)
Longitudinal data
Genre (authority = RURes_dataCollectionSetting)
School
Genre (authority = RURes_researchMethodology)
Qualitative research
Genre (authority = RURes_qualitativeMethod)
Interviews (individual)
Subject (authority = RURes_subjectOfStudy)
Topic
Sample of human subjects
Subject (authority = LCSH)
Topic
Mathematics education
Subject (authority = LCSH)
Topic
Learning, Psychology of--Case studies
Subject (authority = LCSH)
Topic
Critical thinking in children--New Jersey--Case studies
Subject (authority = Grade range)
Topic
PreK-2
Subject (authority = NCTM Content)
Topic
Number and operations
Subject (authority = NCTM Process)
Topic
Problem solving
Subject (authority = NCTM Process)
Topic
Reasoning and proof
Subject (authority = NCTM Process)
Topic
Communication
Subject (authority = NCTM Process)
Topic
Connections
Subject (authority = NCTM Process)
Topic
Representation
Subject (authority = rbdil_gradeLevel)
Topic
2
Subject (authority = rbdil_setting)
Topic
Classroom
Subject (authority = rbdil_schoolType)
Topic
Public school
Subject (authority = rbdil_studentGender)
Topic
Female
Subject (authority = rbdil_studentEthnicity)
Topic
White
Subject (authority = rbdil_mathStrand)
Topic
Arithmetic
Subject (authority = rbdil_representations)
Topic
Physical models
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Counting
Subject (authority = rbdil_forms of reasoning, strategies and heuristics)
Topic
Direct reasoning
Subject (authority = rbdil_cameraView)
Topic
Student view
Subject (authority = rbdil_mathProblem)
Topic
Candy heart problem
Subject (authority = rbdil_mathTools)
Topic
Layered candy jar
Subject
HierarchicalGeographic
Country
UNITED STATES
State
New Jersey
County
Union County
City
Kenilworth (N.J.)
Classification (authority = RUresearch); (edition = Data)
PhysicalDescription
Extent (unit = digital file(s))
1
InternetMediaType
video/x-flv
TargetAudience (authority = RURes_discipline)
Social science
TargetAudience (authority = RURes_domain)
Mathematics education
Note (type = supplementary materials)
Transcript is also available.
Name (type = personal)
NamePart (type = family)
Martino
NamePart (type = given)
Amy Marie
Affiliation
Rutgers, the State University of New Jersey
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 = w3cdtf); (point = start)
1990-02-26
DateCreated (point = start); (encoding = w3cdtf); (qualifier = exact)
1990-02-26
DateIssued (point = start); (encoding = w3cdtf); (qualifier = exact)
1990-02-26
Subject
Name (authority = RBDIL_corporate)
NamePart (type = corporate)
Harding Elementary School (Kenilworth, N.J.)
Subject
Name (authority = RBDIL_personal)
NamePart (type = personal)
Stephanie (student)
Subject (authority = rbdil_district)
Geographic
Kenilworth Public Schools
RelatedItem (type = host)
TitleInfo
Title
B55, Candy hearts interviews, Grade 2, February 26, 1990, raw footage.
Identifier (type = rbdil)
B55-19900226-KNWH-SV-CLASS-GR2-ARTH-CH-RAW
Identifier (type = rbdil)
B55-ARTH-CH-CLIP002
Abstract (type = summary)
In the third of 8 clips with second grade students, researcher Amy Martino interviews Stephanie about how she and her group, which included Jeff and Brian, had approached the candy hearts problems in their classroom session several days earlier. In explaining her solution, Stephanie first says that the three students had all "timesd it", multiplying 12 times 4 to get 48. She then recalled that she had completed the problem by first adding the 10 from the fifth layer of 12 to 48 to get 58. For the remaining 2, Stephanie appears to use the addition algorithm, adding 2 to 8, then "trading the 1 for a 10" for an answer of 60. When asked about the second problem, Stephanie said that Jeff had contributed the number 20 for each child and that he had said there would be 20 left over. She then said that she had decided to distribute the remaining 20 among all the students, that each child would get one extra, or 21, and that there would still be 10 left over. She concluded by saying that this would give another candy heart to each child, resulting in 22 for each. (Note: The original video of the classroom session has been lost. However, our notes indicate that there were 20 children in the class, six groups of 3 and one group of two, which raises questions about how there could be 2 extra candies for each child.)
When Martino asks the first extension problem, Stephanie replies by adding 10 to the 60 to get 70. She continues by first saying that the total would be 74. When Martino asks her to explain, Stephanie changes her total to 80, explaining that the extra 10 would result from adding the 2's from each layer to get another 10. For the second extension problem, Stephanie sits quietly for some time and then responds 24. She explains that she added 6 and 6 for 12, then another 6 for 18 and a final 6 for the total 24. She quickly said that it would have been easier to add 6 and 6 for 12 and then to add a second 12 for the same total.
First Candy Heart Problem Statement (on yellow paper)
This is a problem about a jar of candy hearts.
Each layer of candy in the jar has the same number
of pieces. Can you figure out how many candy
pieces are in the jar without opening it?
First, discuss this problem with the people in your group.
Next, explain how you solved the problem on this page.
You may draw pictures to help you explain your answer.
Second Candy Heart Problem Statement (on pink paper)
Our jar has _______pieces of candy.
All the jars have the same number of candy hearts.
Imagine that we collect all the jars of candy
and decide to share all the candy hearts.
Each person in the room has to get the same number
of candy hearts. Figure out how many candy hearts
Each person would get without opening the jars.
Explain how you solved the problem on this page.
You may draw pictures to help explain your answer.
First Candy Heart Problem Extension
Suppose we added another layer to the candy jar
with the same number of candy pieces as the other layers.
How many candy pieces would be in the jar?
Second Candy Bar Problem Extension
Imagine another candy jar with four layers.
Each layer has 6 candy pieces. How many candy pieces would be in this jar?
TitleInfo
Title
Non-routine counting problems, Clip 3 of 8: Candy hearts interview with Stephanie
RelatedItem (type = host)
TitleInfo
Title
Robert B. Davis Institute for Learning Mathematics Education Collection
Identifier (type = local)
rucore00000001201
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers University. Libraries)
NjR
Identifier (type = doi)
doi:10.7282/T3RF5WP1
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Rights

RightsDeclaration (AUTHORITY = rbdil1_v1); (ID = rbdil1_v1)
The video is protected by copyright. It is available for reviewing and use within the Video Mosaic Collaborative (VMC) portal. Please contact the Robert B. Davis Institute for Learning (RBDIL) for further information about the use of this video.
RightsEvent
Type
Permission or license
Label
Non-exclusive license to share the video presentation via RUcore.
Place
New Brunswick, NJ
DateTime
11/3/2009
Detail
Non-exclusive license to digitize and make openly available the videos and other collection resources of the Institute is on file in the office of the RUcore Collections Manager.
AssociatedEntity
Role
Licensor
Name
Maher, Carolyn A.
Affiliation
Director, Robert B. Davis Institute for Learning, Rutgers Graduate School of Education
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Publication
Status
Unpublished
RightsHolder (type = corporate)
Name
Robert B. Davis Institute for Learning
Role
Copyright holder
Telephone
848-932-0776
Address
Rutgers Graduate School of Education
10 Seminary Place
New Brunswick, NJ 08901-1183
ContactInformationDate
2014-02-07
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Source

SourceTechnical
SourceType
Videotape
Format
S-VHS
Gauge
1/2-inch
Duration
00:08:10
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Technical

RULTechMD (ID = TECHNICAL1)
VideoSampling
SamplingSize
4:2:2
WordSize
3-byte
BitsPerSample
24-bit
ContentModel
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PreservationLevel
full
Generation
Digital preservation master
Duration
00:08:10
System
MS Video
Frame
Height
640
Width
480
Rate
29.97 fps
AspectRatio
4:3
Structure
interlaced
BitRateReduction
Compression
CompressionType
uncompressed
Codec
CodecName
full frame uncompressed
CodecQuality
code regenerating
Sound
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NumberOfChannels
2
SoundField
stereo
Sampling
SamplingRate
44.1 kHz
BitsPerSample
16-bit
WordSize
3-byte
RULTechMD (ID = TECHNICAL2)
ContentModel
MovingImage
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