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?

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5

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Definitely No Probably No

Not Sure Probably Yes

Definitely Yes

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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  

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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

TitleOutline

Large lecture issuesThree technological tools

Preliminary Students’ PerceptionsResearch Process

1. Preliminaries2. Study Design3. Preparations and Implementation4. Data analysis and interpretation5. Dissemination

THANK YOU!

Questions?

Savkar & Cardetti Large Lectures in Calculus