lon-capa mathematical functionality
DESCRIPTION
LON-CAPA Mathematical Functionality. Gerd Kortemeyer Lyman Briggs College February 2011 . LON-CAPA Math Functionality. Today’s Session: somewhat specialized topic Goal: demonstrate how mathematical assessment is integrated into the LON-CAPA course management functionality. - PowerPoint PPT PresentationTRANSCRIPT
LON-CAPAMathematical FunctionalityGerd KortemeyerLyman Briggs CollegeFebruary 2011
LON-CAPA Math FunctionalityToday’s Session:
somewhatspecialized topic
Goal:demonstrate how mathematical assessment is integrated into theLON-CAPA course management functionality
LON-CAPA Course Management
Full featured course management system
DiscussionsDrop boxes
MSU integration
MessagingStatistics
LON-CAPA Course Management
Structured Content
Embedded Assessment
Contextual Discussions
Time Management
LON-CAPA Course ManagementShared Learning Content
Management
Particular Strength: AssessmentRandomized problems: different
◦numbers◦formulas◦graphs◦ images◦options◦…for each student.
Student can collaborate without “cheating”
Randomized exams
LON-CAPA MathematicsMathematics Output:
◦ typesetting◦ graphing
Generating Mathematics Problems:◦ symbolic math functionality◦ statistics packages
Mathematics Input:◦ numerical◦ formula evaluation
sampling symbolically checking for properties
◦ graphical input◦ bubble sheets◦ clickers
The grader is in
WARNINGToday’s presentation
is going to show some very specialized
functionality.Because you can does
not mean you have to.
Mathematical OutputTypesetting:
LaTeX can be embedded anywhere in the material
Mathematical OutputEditor for non-native LaTeX
speakers
Mathematical OutputGenerated on-the-fly, can vary
from student to student.
Mathematical Output<algebra>-tag to pretty-print the
output from computer algebra systems
Example: $formula=“a*x^5”
Mathematical OutputOne-source, multiple targetLooks good in print
◦Online:
◦Print (dynamically generated PDF):
Mathematical OutputDynamic Graphing
◦Data-Points◦Functions◦Line-Graphics
Internally usesGNUplot
Mathematical OutputData points
Mathematical OutputData points
Mathematical OutputFunctions
Mathematical OutputLine graphics
Generating Mathematics ProblemsLON-CAPA problems include
◦Perl Scripting Environment◦MAXIMA Computer Algebra System◦R Statistics Package
Problems not just randomized,but randomly generated with desired properties
Generating Mathematics ProblemsDirect calls to MAXIMA:
$result=&cas(‘maxima’,$expression);
Simple example: use computer algebra system to calculate a reduced fraction
Generating Mathematics ProblemsDirect calls to R:
$result=&cas(‘R’,$expression);$results=&cas_hashref(‘R’,$expression);
Example: generate a distribution with certain properties:
Mathematics Input
Simplest input: numerical
Mathematics Input
Sampling – approximate function
Mathematics Input
Symbolically: exactly one exact answer (but equivalent forms)
Mathematical InputChecking properties
◦Using R:
Mathematical InputChecking properties
◦Using MAXIMA:
Mathematical InputChecking properties
◦Using Perl and MAXIMA:
Mathematical Input
Math editor for students
Mathematical InputGraphical
inputusing
Geogebra
Mathematical InputRulesets Function
First DerivativeSecond Derivative
Integral
Symbolic, computed, or hard-
coded ranges
Mathematical InputProblems can also be rendered for
bubble sheetsEvery student gets a different version
Mathematical Input
Mathematical Input
Mathematical Input
Mathematical InputNumerical Clickerin Lecture
Mathematical InputLON-CAPA can evaluate clicker data after lecture
Mathematical Input
Mathematical Inputi>clicker2
integrated in LON-CAPA
Interested?Faculty Seminars
May 10-11, 2011Can give departmental colloquiaWork one-on-oneLON-CAPA Conference
Virginia Commonwealth UniversityMay 19-21, 2011
LON-CAPA WorkshopMSU, late June
Thank YouGerd KortemeyerLyman Briggs College
andDivision of Science and Mathematics
[email protected]://www.lon-capa.org/