Math-Bridge Additional Interactivity

Joint Math-Bridge Training
Program
Michael Dietrich (DFKI)
Source Based Content Authoring
10.07.2015 Saarbrücken

Get jEdit
• Copy jEdit.zip to HDD
• Unpack
• Start by
– java –Xmx512M –jar jedit.jar& (*nix, Mac)
– Doubleclick jedit.jar

jEdit Config
• Configure OQMath Plugin
• Set Math-Bridge URL
– Plugins – Plugin Options...
– OQMath Jedit
– Enter URL
• Specify Math-Bridge location
– analogue

jEdit Test
• OQMath – Start a collection
• Provide a name
• Let the magic happen
• Restart Math-Bridge
• Visit new collection with browser

TRANSFORMATION PROCESS
o Edit content/enter formula
o Open Ant-Tab
o Select build-file corresponding to collection
o Start transformation by clicking „Running-
Man“
o Starts QMath process (www.matracas.org)

Formatting Basics
• Line Breaks
– <br/>
• Write text bold:
– <highlight type=„important“>text</highlight>
• Write text italic
– <highlight type=„noticable“>text</highlight>

Adding a paragraph
• Standard paragraph
– <p>some text</p>
• Paragraph with centered text
– <p style=„cm“>text to be centered</p>

General purpose formatting
• Element for general formatting:
– <with style=„css instructions“></with>
• Examples
– <with style=„text-align:center“> (center)
– <with style=„text-align:right“> (text is right aligned)
– <with style=„color:red“> (text is written in red)
– ...

Problem with tables
• Centering of tables is not working with the
previous methods
• Solution: add margin-left:auto and margin-
right:auto to the style attribute of table
• Example
– <table style=„margin-left:auto;margin-right:auto;“>
<tr><td>table content</td></tr>
</table>

Hands-on jEdit
• Create up to 10 LOs from example content

Hands-on Translations I
• Translate file
schulung/oqmath/trl_exa_1.oqmath
• Transform it to omdoc
• View it in Math-Bridge

Hands-on Translations II
• Translate file

Hands-on Translations III
• Translate file

Hands-on Translations IV
• Translate file

FORMULA INPUT
• Where?
– In OQMath Files
• Markup
– Surrounded by $-characters
• LaTeX like syntax
+ plus, - minus, * times, / divide, ^ power

EXAMPLE FOR FORMULA INPUT
$x^3+y^2=0$ is transformed to

EXAMPLE FOR FORMULA INPUT
$x^3+y^2=0$ is transformed to
<OMOBJ>
<OMA>
<OMS cd="relation1" name="eq" />
<OMA>
<OMS cd="arith1" name="plus" />
<OMA>
<OMS cd="arith1" name="power" />
<OMV name="x" />
<OMI>3</OMI>
</OMA>
<OMA>
<OMS cd="arith1" name="power" />
<OMV name="y" />
<OMI>2</OMI>
</OMA>
</OMA>
<OMI>0</OMI>
</OMA>
</OMOBJ>

o Qmath Process stops
o Reload of Math-Bridge‘s mathematical database is
triggered
o Possible errors in content are displayed in Console
and ErrorList-Tab
o Build Successful message displayed in Console

FREQUENT MBASE ERRORS
E: Unresolved xref theory_id/lo_id
C: Missing import
S: Insert import of theory containing not found learning object
E: Unresolved xref in Recbook_xxx.omdoc
C: Mbase may be corrupt
S: Check in browser for transformation errors, remove data/slumbd and
restart Math-Bridge to fix
E: Duplicate ID in Recbook_automatic.omdoc
S: Just ignore

o QMath Process stops
o Error message(s) are logged in Console-Tab
o Build Failed message displayed in Console-Tab

FREQUENT QMATH ERRORS
E: Parse error in document
C: Error in formula syntax
S: Correct error
E: ending dollar not-found... ignoring last dollar.
S: Add the missing dollar

ATTENTION
Presentation can have errors even though no
errors were reported during the transformation
process.
Presentation needs to be checked manually

HANDS-ON
Add the following formulas to your collection one after the other

SYMBOLS AVAILABLE IN EACH Math-
Bridge
• OpenMath-CDs (Content Dictionaries)
• Basic set of symbols to be used for
authoring
(Excerpt of arith1 content dictionary)

BROWSE AVAILABLE SYMBOLS
ONLINE
o Symbol Presentation
o Displays all symbols available in Math-
Bridge installation
o Separation by collection

BROWSE SYMBOLS AVAILABLE LOCALLY
o Notations List
o Tool of OQMath Plug-in for jEdit
o Displays all usable symbols for oqmath files
o Different lists for different files(maybe)

BROWSE AVAILABLE SYMBOLS
LOCALLY
Michael Dietrich - Saarland University

USE MORE SYMBOLS
• Make calculus1 usable in OQMath file (I)
– <?QMath Context:„Mathematics/OpenMath/calculus1"?>
• Make calculus1 usable in OQMath file (II)
– Add Context:„Mathematics/OpenMath/calculus1“ to
notations.qmath file
• Tell Math-Bridge where to look for calculus1
– <imports from="mbase://openmath-cds/calculus1/"/>

USAGE OF FOUND SYMBOLS
• Question:
How to use the symbols to create formulas?
o Depends on the type of the symbol
o 5 types
o Application
o Binding
o Operator
o Symbol
o Variable

SYMBOL TYPE: BINDING
o only one symbol with this type
o Symbol: lambda BINDING "fns1:lambda“
o used to bind variables to functions
Usage Example: $lambda(x,x^2)$

SYMBOL TYPE: OPERATORS
o OP prefix denotes this type
o Symbol: oo OP_PLUS “myTherory:myoo“
o PLUS means that this operators has the precedence of +
Usage Example: $1 oo 4$

SYMBOL TYPE: SYMBOL
o standalone symbol with semantics
o Symbol: sym SYMBOL “myTheory:mySymbol“
Usage Example: $sym$

SYMBOL TYPE: VARIABLE
o same as SYMBOL but without semantics
o Symbol: myVar VARIABLE „var “
Usage Example: $myVar$

SYMBOL TYPE: APPLICATION
o most difficult type in terms of syntax
o Symbol: myApp APPLICATION “myTheory:myApp“
o From the above declaration we cannot tell number of
parameters
Usage Example: $myApp(x,x^2,...,?)$

SYMBOL TYPE: APPLICATION
Ways to find out the number of parameters:
o Go to definition of symbol and check the qmath prototype
o Check the omdoc definition of the symbol
o For OpenMath-CDs: Visit http://www.openmath.org/cd
And check the symbol description

HANDS-ON
• 1-2
• 1-2 = -1
• a²+b²=c²
• c= √a²+b²

HANDS-ON
• 1-2 $1-2$
• 1-2 = -1 $1-2=neg(1)$
• a²+b²=c² $a^2=b^2=c^2$
• c= √a²+b² $c=root(a^2+b^2)$

HANDS-ON
• f(x)=x^2
• 1+(2+3)
• 1,2,3,…,n

HANDS-ON
• f(x)=x^2
• 1+(2+3)
• 1,2,3,…,n
$apply(f,x)=x^2$
$1+rBra(2+3)$
$enum(1,2,3,cdots,n)$

HANDS-ON
$sum(0 ._. n,lambda(i,i))$
$sum(0 ._. n,lambda(i,sqt(X,i)))$
$limit(inf, both_sides, lambda(x,ln(x)))$
$dint(1._.n,lambda(x,x^3-2))$

FLOAT NOTATION
• Problem: Qmath transforms decimals
wrong
• Example: 1.5 -> 1.4999999
• Problem in exercise evaluations
• Solution float
• Usage $float(„1.5“)$

Exercises - Basics
• Set of nodes
• Task
• Interaction
• Feedback
• Transitions between nodes

Exercises - Transitions
• Unconditional (Task/Feedback)
• Transition is always used
• Conditional (Interaction)
• Used if certain condition(s) hold
• Default(Interaction)
• Used if no other condition fired

Exercises - Conditions
• Comparison with user input
• Syntactic Evaluation
• User answer and expected answer must be identical
• Semantic Evaluation
• User answer must be semantically correct
• Numeric Evaluation
• Numeric value of user input is compared with provided answer
• Error tolerance can be provided

jEdit
Open exercise
Beweisen Sie den großen Satz von Fermat:
Die Gleichung a^n + b^n = c^n
besitzt für ganzzahlige a,b,c ≠ 0
und natürliche Zahlen n>2 keine Lösung.

jEdit
Open exercise
<exercise id="schulungEx1" for="schulExampleEx_sym" >
<metadata><Title> Offene Übungsaufgabe </Title>
<Format>AMEL1.0</Format>
<extradata>
<exercisetype value="open"/>
</extradata>
</metadata>
<CMP>
Beweisen Sie den großen Satz von Fermat:
</CMP>
<interaction id="schulungEx1_step1">
<feedback><CMP>Beweisen Sie den großen Satz von Fermat<br/>
Die Gleichung $a^n + b^n = c^n$<br/>
besitzt für ganzzahlige $list(a,b,c) neq 0$
und natürliche Zahlen $n > 2$ keine Lösung. </CMP></feedback>
</interaction>
</exercise>

jEdit
Fill In Blank
Berechnen Sie ¾ + ½

jEdit
Fill In Blank
<exercise id="schulEx2"
for="schulExampleEx_sym" >
<metadata><Title> Fill in blank Aufgabe
</Title>
</metadata>
<CMP>
Berechnen Sie $3/4 + 1/2$
</CMP>

jEdit
Fill In Blank
<interaction id="schulEx2_step1">
<feedback><CMP>$3/4 + 1/2 =
id("schulEx2_blank1",5/4)$</CMP></feedback
>
<interaction_map>
<blank for="schulEx2_blank1"/>
</interaction_map>

jEdit
Fill In Blank
<answer_map>
<condition xref="schulEx2_correct">
<diagnosis>
<achievement value="1.0"/>
</diagnosis>
<composite>
<syn_eq>
$5/4$
</syn_eq>
<composite>
</condition>
<default xref="schulEx2_wrong">
<diagnosis>
</diagnosis>
</default>
</answer_map>
</interaction>

jEdit
Fill In Blank
<interaction id="schulEx2_correct">
<feedback from="schulEx2_step1"
input_decoration="automatic"/>
<feedback>
<CMP>
Richtig.
</CMP>
</feedback>
</interaction>

jEdit
Single Choice Exercise (SCQ)
Macht Schokolade dick?

jEdit
<interaction_map>
<selection for="schulEx3_selection1">
<choice>Ja</choice>
<choice>Nein</choice>
</selection>
</interaction_map>

jEdit
<diagnosis>
</diagnosis>
<composite>
<syn_eq>
$1$
</syn_eq>
<syn_eq>
$0$
</syn_eq>
</composite>
</condition>

jEdit
Multiple Choice Exercise
Welche der folgenden Zahlen sind gerade?
• 1
• 2
• 3
• 4
• 5

jEdit
<interaction_map>
<selection for="schulEx4_selection1"
multiple="yes">
<choice>$1$</choice>
</selection>
</interaction_map>

jEdit
<answer_map>
<diagnosis>
</diagnosis>
<composite>
<syn_eq>
$0$
</syn_eq>
<syn_eq>
$1$
</syn_eq>
<syn_eq>
$0$
</syn_eq>
<syn_eq>
$1$
</syn_eq>
<syn_eq>
$0$
</syn_eq>
</composite>
</condition>

jEdit
Drop Down Exercise
Welche Zahl ist gerade?
• 1
• 3
• 4
• 5

jEdit
Drop Down Exercise
<interaction_map>
<selection for="schulEx5_selection1"
style="menu">
</selection>
</interaction_map>

jEdit
Drop Down Exercise
<diagnosis>
</diagnosis>
<composite>
<syn_eq>
$0$
</syn_eq>
<syn_eq>
$0$
</syn_eq>
<syn_eq>
$1$
</syn_eq>
<syn_eq>
$0$
</syn_eq>
</composite>
</condition>

jEdit
Randomizer (Single Values)
Addieren Sie die beiden Werte

jEdit
<interaction_generator name="Randomizer">
<parameter name="constant">
$p_a$
$1$
$2$
$3$
</parameter>
$p_b$
$4$
$5$
$6$
</parameter>
<parameter name="evaluated_constant">
$p_c$
$p_a+p_b$
</parameter>
</interaction_generator>

jEdit
<diagnosis>
</diagnosis>
<composite>
<syn_eq>
$p_c$
</syn_eq>
</composite>
</condition>

jEdit
Randomizer (Interval)
Addieren Sie die beiden Werte

jEdit
Randomizer (Interval)
$p_a$
<interval discrete="yes" left_open="no" right_open="no">
$1$
$6$
</interval>
</parameter>
$p_b$
<interval discrete="yes" left_open="no" right_open="no">
$7$
$12$
</interval>
</parameter>

jEdit – Insert Picture
First part
Image declaration
<private id="«id_of_the_private_element»">
<data format="html" href="../MinePics/«filename of the picture (.png,
.jpeg, .gif)»"/>
<data format="pdf" href="./omdoc1/mine/pics/«filename of the picture
(.png, .jpeg, .pdf)»"/>
</private>

jEdit – Insert Picture
Second part
Image Usage
<omlet argstr="«id_of_the_private_element»"
type="image" action="display">
«the caption»
</omlet>

jEdit – Insert Applet
Applet declaration
<private id="«private-id»">
<data href="«class.name.with.package»">
<PARAM NAME="«param-name»" VALUE="«param-value»"/>
</data>
</private>

jEdit – Insert Applet
Applet Usage
<omlet type="applet" argstr="«private-id»"
archive="«../mycolPics/ajar.jar»"
image="«../applet/images/console-applet.gif»"
width="«500»" height="«300»">
</omlet>

jEdit – Applet Example
<CMP>
<private id="BernoulliInequalityApplet">
<data href="LeAM.Applets.Bernoulli.Bernoulli_inequality">
<PARAM NAME="Language" VALUE="$language" />
</data>
</private>
<omlet type="applet"
archive="../LeAM_calculusApplets/LeAM.jar"
argstr="BernoulliInequalityApplet"
image="../LeAM_calculusApplets/snapshot/Bernoulli_inequality.png"
height="400" width="450" />
</CMP>

jEdit – Insert JavaScript/External HTML
Have JavaScript in external HTML File
Create new directory (ContentDescr needs to be modified)/Add to existing
directory (ie. pics)
In CMP write
<with style="embedHTMLex"
width="900" height="500">../collectionPathMap/index.html</with>
as only input

jEdit – Example
<CMP xml:lang="en">
<with style="embedHTMLex" width="900" height="500">
../vCollJS/Pascal_en.html</with>
<br />
</CMP>

Math-Bridge Additional Interactivity

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