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TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Large Lectures in Calculus:A challenge in Teaching and Research
S.I.G.M.A. Seminar
Amit Savkar and Fabiana Cardetti
Department of MathematicsUniversity of Connecticut
Friday, November 5, 2010
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Outline
Large lecture issuesThree technological toolsPreliminary Students PerceptionsResearch process
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
What do student think?
0
5
10
15
20
25
30
35
40
45
50
Definitely No Probably No
Not Sure Probably Yes
Definitely Yes
23
47
7
21
1
If you had a choice, would you chose to enroll in a mathematics class in large lecture format?
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Large lecture issues
1 150+ students versus 32 students.2 Projector, Document camera, Sympodiums Versus
Blackboard/ Whiteboard.3 Invisible versus Visible.4 Uninvolved versus Involved.5 Chaos versus Order.
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Challenges
1 Student - Teacher interaction.2 Are students on the same page as you? In-class
interaction.3 Organize study material.
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Micro-videos
Decide on a topic or concept.You need a white or black board.A handheld camera.A well lit room.Software to process the video.A server to host it. Click here
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Interactive Response Systems: “Clickers"
Prepare questions in advance.Be prepared to ask follow up questions.Key is in the response.Good questions leads to insightful data.Iterative process.Post them online
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Flash Cards
Pick concepts, formulae, identities etc.
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Preliminary Students’ Perceptions
0
5
10
15
20
25
30
35
40
Definitely No Probably No
Not Sure Probably Yes
Definitely Yes
6
2
21
32
39
If you had a choice, would you chose to enroll in a mathema5cs class that provides online Micro-‐videos?
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Preliminary Students’ Perceptions
0
5
10
15
20
25
30
35
40
45
Definitely No Probably No
Not Sure Probably Yes
Definitely Yes
9
17
6
29
42
If you had a choice, would you chose to enroll in a mathema5cs class that uses Interac5e Response system (Clickers)?
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
Preliminary Students’ Perceptions
0
5
10
15
20
25
30
35
40
45
Definitely No Probably No
Not Sure Probably Yes
Definitely Yes
2 3
16
37
43
If you had a choice, would you chose to enroll in a mathema5cs class that provides electronic Flashcards?
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Research Process
1 Preliminaries2 Study Design3 Preparations and Implementation4 Data Analysis and Interpretation5 Dissemination
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preliminary stepsResearch ProblemPurposeLiterature ReviewResearch Question
Research ProblemA general problem, issue, or concernStands on its own
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preliminary stepsResearch ProblemPurposeLiterature ReviewResearch Question
PurposeMajor intent of the study to address the problemNarrows research problem down to a specific aspect
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preliminary stepsResearch ProblemPurposeLiterature ReviewResearch Question
Literature ReviewJustify the research problem and purpose Summarize presentstate of knowledgeIdentify deficiencies in the evidenceInterface between Purpose and Research Question
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preliminary stepsResearch ProblemPurposeLiterature ReviewResearch Question
Research QuestionSpecific Question(s) to be addressed in the study
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Design ApproachesResearch question determines the design approach
Quantitative StudyQualitative StudyMixed Methods Study
QuantitativeExperimental researchCorrelational researchSurvey research
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Design ApproachesResearch question determines the design approach
Quantitative StudyQualitative StudyMixed Methods Study
QualitativeGrounded Theory researchEthnographic researchNarrative research
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Design ApproachesResearch question determines the design approach
Quantitative StudyQualitative StudyMixed Methods Study
Mixed MethodsCombination of quantitative and qualitative approaches to bestunderstand and explain the research problem
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
PreparationsInstitutional Review Board (IRB)Honoring research sitesInstruments (surveys, interview guides, observationrubrics)
Research on human subjectsIRB → protecting the rights of participantsUConn IRB
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
PreparationsInstitutional Review Board (IRB)Honoring research sitesInstruments (surveys, interview guides, observationrubrics)
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
PreparationsInstitutional Review Board (IRB)Honoring research sitesInstruments (surveys, interview guides, observationrubrics)
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preparations specific to our studyIRB protocol submission and approvalCourse Coordinator approvalPreparation of all instructional materials and surveysFormatting, editing, uploading, and testing web-based tools
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preparations specific to our studyIRB protocol submission and approvalCourse Coordinator approvalPreparation of all instructional materials and surveysFormatting, editing, uploading, and testing web-based tools
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preparations specific to our studyIRB protocol submission and approvalCourse Coordinator approvalPreparation of all instructional materials and surveysFormatting, editing, uploading, and testing web-based tools
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Preparations specific to our studyIRB protocol submission and approvalCourse Coordinator approvalPreparation of all instructional materials and surveysFormatting, editing, uploading, and testing web-based tools
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
ImplementationInformation sessions for participantsData collectionMonitoring
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
ImplementationInformation sessions for participantsData collectionMonitoring
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
ImplementationInformation sessions for participantsData collectionMonitoring
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Data analysis and interpretationDuring or immediately after data collection
Data analysis (type of data)Results interpretation → restricted to data findingsDiscussion and Conclusion
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Data analysis and interpretationDuring or immediately after data collection
Data analysis (type of data)Results interpretation → restricted to data findingsDiscussion and Conclusion
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Data analysis and interpretationDuring or immediately after data collection
Data analysis (type of data)Results interpretation → restricted to data findingsDiscussion and Conclusion
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Reporting resultsAudienceType of ReportAdhere to specific requirements
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Reporting resultsAudienceType of ReportAdhere to specific requirements
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Reporting resultsAudienceType of ReportAdhere to specific requirements
Savkar & Cardetti Large Lectures in Calculus
TitleOutline
Large lecture issuesThree technological tools
Preliminary Students’ PerceptionsResearch Process
1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination
Special thanksLucas David-Roesler and Ben Salisbury
andProvost’s Office
Savkar & Cardetti Large Lectures in Calculus