A PEN-BASED STATICS TUTORING SYSTEM Jack Lee Thomas Stahovich
Robert Calfee Presented by: James Herold
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Demo
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Outline Introduction Solving a problem System Boundaries
Drawing/Critiquing Forces Writing/Critiquing Equations User Study
Results Conclusion
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Textbook instructions for FBDs Step 1: Decide what system to
isolate. Step 2: Next isolate the chosen system by drawing a
diagram which represents its complete external boundary. Step 3:
Identify all forces which act on the isolated system -- J.L. Meriam
and L.G. Kraige. Engineering Mechanics - Statics. John Wiley &
Sons, Inc., 6th edition, 2007.
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Typical Student Work
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Solving a problem Create Boundary Critique Boundary Draw Forces
Critique Forces Write Equations Critique Equations Done!!
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Creating a Boundary
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Critiquing Boundary: Statically indeterminate
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Critiquing Boundary: Cutting through rigid bodies
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Critiquing Boundary: Does not contain the force of
interest
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Solving a problem Create Boundary Critique Boundary Draw Forces
Critique Forces Write Equations Critique Equations Done!!
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Drawing a force
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+ All interactions between the system and objects outside the
system boundary must be represented by forces. Free body Diagram
Errors Hierarchical Feedback
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+ + All interactions between the system and objects outside the
system boundary must be represented by forces. The missing force is
at a roller support. Free body Diagram Errors Hierarchical
Feedback
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- - - All interactions between the system and objects outside
the system boundary must be represented by forces. The missing
force is at a roller support. The missing force is at the
highlighted location. Free body Diagram Errors Hierarchical
Feedback
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Video Explanations
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Buggy Rules Student FBD 1.Force in Wrong direction. 2.Missing 2
Forces. Low-Level Errors Correct Conceptual Diagnosis 1. It appears
that a body has been incorrectly modeled as a two-force
member.
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Buggy Rules W W Correct Student FBD 1.Forces are in the wrong
direction. Low-Level ErrorsConceptual Diagnosis 1.Having a load
does not cause all the forces to be in the opposite direction of
it.
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Solving a problem Create Boundary Critique Boundary Draw Forces
Critique Forces Write Equations Critique Equations Done!!
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Writing an Equation
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Type: Fx=0 Lever
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Writing an Equation Bx D cos (u) = 0
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Matching Equations - T COS(U) + F SIN(U) = 0 - F COS(U) + P
SIN(U) = 0 Student Equation Correct Equation ?
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Matching Equations - T COS(U) + F SIN(U) = 0 - F COS(U) + P
SIN(U) = 0 Student Equation Correct Equation ?
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Matching Equations - T COS(U) + F SIN(U) = 0 - F COS(U) + P
SIN(U) = 0 Student Equation Correct Equation ?
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Outline Introduction Solving a problem User Study Results
Conclusion
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Pretest NP2 Tutorial Posttest User Study Participants: 101
students, working in pairs UC Riverside statics course Sessions: 4
through out the quarter Study in 3 rd Session -- 30 min with
NP2
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User Study: Problems Problem A Problem B
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Improved Solution Time PretestPosttest 7.2 minutes 4.9 minutes
PretestPosttest 7.3 minutes 5.6 minutes Problem A Problem B 32%
Reduction 24% Reduction
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Solution Correctness: Problem A
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Solution Correctness: Problem B
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Ease of Drawing LabelsArrowsBoundary Easy Hard
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Usefulness for Learning Equilibrium Problems Two-Force Member
Newton's 3rd Law ForcesBoundary Selection Not Useful Very
Useful
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This Program Has Usable Feedback Is preferable to WIMP Is easy
to learn High Low
Conclusion Possible to scaffold handwritten work Sketch
recognition enables natural work environment Creating a solution
rather than selecting the answer Buggy-rules enable diagnosis of
conceptual misunderstandings NP2 is an effective tutorial system
Students like the interface Measurable learning gains are quickly
achieved This work is provided by the National Science Foundation
via award No. 0735695. They also gratefully acknowledge support
from HP, who provided the tablet PCs used in this project.