presented by: nicole scherger [email protected] elgin community college 38 th annual imacc annual...
TRANSCRIPT
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
IDEAS FOR IMPLEMENTATION INTO A MULTIVARIABLE CALCULUS CLASS
Presented by Nicole Schergernschergerelginedu
Elgin Community College
38th Annual IMACC Annual ConferenceAllerton House Monticello Illinois
April 5th 2013
bull Innovation Mathematics programs should be thoughtfully constructed to approach content and instruction with appropriate use of traditional and innovative methods
bull Inquiry Effective mathematics instruction should require students to be active participants
bull Technology Technology should be integral to the teaching and learning of mathematics
CALC3D PLOTTERDesigned by community college professor Paul
Seeburger
Reflects the guiding principles of AMATYC (as expressed in ldquoBeyond Crossroadsrdquo)
Graphs Ideas for Implementation
If teaching in a room with a computer projector and internet access or a computer lab use the Calc3D plotter ldquoliverdquo for classroom demonstrations
Without such access graphs can be inserted into guided notes lecture outlines
Assessments For example create matching or multiple questions (examples included)
Student lab assignments (examples included)
Throughout the following presentation consider the following ideas as a starting point for you to think about the varied ways the Calc3D Plotter
can be implemented into your multivariable calculus class
Graphs Rectangular Cylindrical and Spherical Oh My
Graphs Now in 3D (Glasses Required)
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
bull Innovation Mathematics programs should be thoughtfully constructed to approach content and instruction with appropriate use of traditional and innovative methods
bull Inquiry Effective mathematics instruction should require students to be active participants
bull Technology Technology should be integral to the teaching and learning of mathematics
CALC3D PLOTTERDesigned by community college professor Paul
Seeburger
Reflects the guiding principles of AMATYC (as expressed in ldquoBeyond Crossroadsrdquo)
Graphs Ideas for Implementation
If teaching in a room with a computer projector and internet access or a computer lab use the Calc3D plotter ldquoliverdquo for classroom demonstrations
Without such access graphs can be inserted into guided notes lecture outlines
Assessments For example create matching or multiple questions (examples included)
Student lab assignments (examples included)
Throughout the following presentation consider the following ideas as a starting point for you to think about the varied ways the Calc3D Plotter
can be implemented into your multivariable calculus class
Graphs Rectangular Cylindrical and Spherical Oh My
Graphs Now in 3D (Glasses Required)
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Graphs Ideas for Implementation
If teaching in a room with a computer projector and internet access or a computer lab use the Calc3D plotter ldquoliverdquo for classroom demonstrations
Without such access graphs can be inserted into guided notes lecture outlines
Assessments For example create matching or multiple questions (examples included)
Student lab assignments (examples included)
Throughout the following presentation consider the following ideas as a starting point for you to think about the varied ways the Calc3D Plotter
can be implemented into your multivariable calculus class
Graphs Rectangular Cylindrical and Spherical Oh My
Graphs Now in 3D (Glasses Required)
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Graphs Rectangular Cylindrical and Spherical Oh My
Graphs Now in 3D (Glasses Required)
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Graphs Now in 3D (Glasses Required)
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Example (of a
section of matching exercises
)
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Graphs Vector Valued Functions
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Example (of a
section of matching exercises
)
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Graphs of more than 1 surface
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Example
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Example
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Example
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Student Lab Assigments Guidelines
Combine the creation of graphs on the Calc3D Plotter with computational questions to compute by hand or with other technology (such as wwwwolframalphacom )
Create sequences of questions that foster inquiry-based learning with the material
Avoid overly simplistic questions (ie ldquograph this surfacerdquo) that do not increase studentsrsquo level of understanding of the material (and risk becoming ldquobusy workrdquo for students and for you)
Where appropriate share varying student results with the entire class
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
Dot Product and Cross Product Explorations Students visually reflect on the formulas uv=uvcos(θ) and u x v= uvsin(θ)
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
actual student responses
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab Questions
actual student responses are they both correct
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab
actual student response
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab
actual student response continuedhellip
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
Sample Student Lab
actual student response continuedhellip
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-
CALC3D PLOTTERhttpwebmonroeccedumanilawebfilescalcNSFJavaCodeCalcPlot3Dhtm
Itrsquos so easy a caveman could do it
Email questionscomments nschergerelginedu
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF
- Calc3D Plotter
- Graphs Ideas for Implementation
- Graphs Rectangular Cylindrical and Spherical Oh My
- Graphs Now in 3D (Glasses Required)
- Example (of a section of matching exercises)
- Graphs Vector Valued Functions
- Example (of a section of matching exercises) (2)
- Graphs of more than 1 surface
- Example
- Example (2)
- Example (3)
- Student Lab Assigments Guidelines
- Sample Student Lab Questions
- Slide 15
- Sample Student Lab Questions (2)
- Sample Student Lab Questions (3)
- Sample Student Lab Questions (4)
- Sample Student Lab Questions (5)
- Sample Student Lab
- Sample Student Lab (2)
- Sample Student Lab (3)
- Sample Student Lab (4)
- Calc3D Plotter httpwebmonroeccedumanilawebfilescalcNSF (2)
-