/
LON-CAPA
LON-CAPA

LON-CAPA - PowerPoint Presentation

yoshiko-marsland
yoshiko-marsland . @yoshiko-marsland
Follow
200 views | Public

LON-CAPA - Description

Mathematical Functionality Gerd Kortemeyer Lyman Briggs College February 2011 LONCAPA Math Functionality Todays Session somewhat specialized topic Goal demonstrate how mathematical assessment is integrated into the ID: 541655 Download Presentation

Tags :

Share:

Link:

Embed:

Please download the presentation from below link :


Download Presentation - The PPT/PDF document "LON-CAPA" is the property of its rightful owner. Permission is granted to download and print the materials on this web site for personal, non-commercial use only, and to display it on your personal computer provided you do not modify the materials and that you retain all copyright notices contained in the materials. By downloading content from our website, you accept the terms of this agreement.

Presentation on theme: "LON-CAPA"— Presentation transcript

Slide1

LON-CAPAMathematical Functionality

Gerd Kortemeyer

Lyman Briggs College

February 2011 Slide2

LON-CAPA Math Functionality

Today’s Session:

somewhat

specialized topicGoal:demonstrate how mathematical assessment is integrated into theLON-CAPA course management functionalitySlide3

LON-CAPA Course Management

Full featured course management system

Discussions

Drop boxes

MSU integration

Messaging

StatisticsSlide4

LON-CAPA Course Management

Structured Content

Embedded Assessment

Contextual Discussions

Time ManagementSlide5

LON-CAPA Course Management

Shared Learning Content ManagementSlide6

Particular Strength: Assessment

Randomized problems: different

numbers

formulasgraphsimagesoptions… for each student.

Student can collaborate without “cheating”

Randomized examsSlide7

LON-CAPA Mathematics

Mathematics Output:

typesetting

graphingGenerating Mathematics Problems:symbolic math functionalitystatistics packagesMathematics Input:

numerical

formula evaluation

sampling

symbolically

checking for propertiesgraphical inputbubble sheetsclickers

The grader is

inSlide8

WARNING

Today’s presentation is going to show some very specialized functionality.

Because you can does not mean you have to.Slide9

Mathematical Output

Typesetting:

LaTeX

can be embedded anywhere in the materialSlide10

Mathematical Output

Editor for non-native

LaTeX

speakersSlide11

Mathematical Output

Generated on-the-fly, can vary from student to student.Slide12

Mathematical Output

<algebra>-tag to pretty-print the output from computer algebra systems

Example:

$formula=“a*x^5” Slide13

Mathematical Output

One-source, multiple target

Looks good in print

Online:Print (dynamically generated PDF):Slide14

Mathematical Output

Dynamic Graphing

Data-Points

FunctionsLine-GraphicsInternally usesGNUplotSlide15

Mathematical Output

Data pointsSlide16

Mathematical Output

Data pointsSlide17

Mathematical Output

FunctionsSlide18

Mathematical Output

Line graphicsSlide19

Generating Mathematics Problems

LON-CAPA problems include

Perl Scripting Environment

MAXIMA Computer Algebra SystemR Statistics PackageProblems not just randomized,but randomly generated with desired propertiesSlide20

Generating Mathematics Problems

Direct calls to MAXIMA:

$result=&

cas(‘maxima’,$expression);Simple example: use computer algebra system to calculate a reduced fractionSlide21

Generating Mathematics Problems

Direct calls to R:

$result=&

cas(‘R’,$expression);$results=&cas_hashref(‘R’,$expression);Example: generate a distribution with certain properties:Slide22

Mathematics Input

Simplest input: numericalSlide23

Mathematics Input

Sampling – approximate functionSlide24

Mathematics Input

Symbolically: exactly one exact answer (but equivalent forms)Slide25

Mathematical Input

Checking properties

Using R:Slide26

Mathematical Input

Checking properties

Using MAXIMA:Slide27

Mathematical Input

Checking properties

Using Perl and MAXIMA:Slide28

Mathematical Input

Math editor for studentsSlide29

Mathematical Input

Graphical input

using

GeogebraSlide30

Mathematical Input

Rulesets

Function

First Derivative

Second Derivative

Integral

Symbolic, computed, or hard-coded rangesSlide31

Mathematical Input

Problems can also be rendered for bubble

sheets

Every student gets a

different versionSlide32

Mathematical InputSlide33

Mathematical InputSlide34

Mathematical InputSlide35

Mathematical Input

Numerical Clicker

in LectureSlide36

Mathematical Input

LON-CAPA can evaluate clicker data after lectureSlide37

Mathematical InputSlide38

Mathematical Input

i

>clicker2 integrated in LON-CAPASlide39

Interested?

Faculty Seminars

May 10-11, 2011

Can give departmental colloquiaWork one-on-oneLON-CAPA ConferenceVirginia Commonwealth University
May 19-21, 2011LON-CAPA Workshop

MSU, late JuneSlide40

Thank You

Gerd Kortemeyer

Lyman Briggs College

andDivision of Science and Mathematics Educationkorte@lite.msu.eduhttp://www.lon-capa.org/