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Änderungen von Dokument Numerische Variablen

Zuletzt geändert von Hendrik Zschocke am 12.01.2024
Von Version 397.1
bearbeitet von Carina Enke
am 07.06.2019
Änderungskommentar: Mittels Scroll Versions veröffentlicht aus dem Bereich ONYXintern und Version 8.7.
Auf Version 401.1
bearbeitet von Carina Enke
am 08.05.2019
Änderungskommentar: Mittels Scroll Versions veröffentlicht aus dem Bereich ONYXintern und Version 8.7.

Zusammenfassung

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Inhalt
... ... @@ -138,13 +138,13 @@
138 138  {{layout}}
139 139  {{layout-section ac:type="two_right_sidebar"}}
140 140  {{layout-cell}}
141 -For integer or fractional variable values, select the type // **Integer** //or // **Floating point** //.
141 +You can generate integer or fractional variable values. For this purpose, the variable types "**Integer**" and "**Floating Point**" will be available to you.
142 142  
143 -[[image:attach:Editor - Ganzzahlvariable Typauswahl_de.png]]
143 +[[image:attach:image2017-3-23 8:15:49.png]]
144 144  
145 145  To alter the value for the numerical variable, different options are available, which will be explained in the following sections, just as the possibility to define the display accuracy of floating-point numbers. If a numerical variable is not assigned a value, the variable will be initialised with 0.
146 146  
147 -[[image:attach:Editor - Ganzzahlvariable Wertsetzung_de.png]]
147 +[[image:attach:image2017-3-23 8:20:57.png]]
148 148  {{/layout-cell}}
149 149  
150 150  {{layout-cell}}
... ... @@ -153,23 +153,17 @@
153 153  
154 154  
155 155  {{toc/}}
156 -{{/panel}}
157 157  
158 -{{panel title="Application examples"}}
159 -* [[Example "Probability">>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
160 -* [[Example "Hypotenuse">>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
161 -* [[Example "Transport" - Use of random parameters>>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
162 -{{/panel}}
157 +**Related topics**
163 163  
164 -{{panel title="Related topics"}}
165 -* [[Calculation interaction>>url:https://www.bps-system.de/help/display/ONYXintern/.Berechnungsaufgabe+v8.X||shape="rect"]]
166 -* [[Formula comparison>>url:https://www.bps-system.de/help/display/ONYXintern/.Formelvergleich+v8.X||shape="rect"]]
159 +* [[Calculation task>>doc:Berechnungsaufgabe]]
160 +* [[Formula comparison>>url:https://www.bps-system.de/help/display/ONYXintern/.Formelvergleich+v1.11||shape="rect"]]
167 167  {{/panel}}
168 168  
169 169  {{panel borderColor="#ddd" bgColor="#f0f0f0" borderStyle="solid" title="Further information"}}
170 -* [[MAXIMA manual>>url:http://maxima.sourceforge.net/docs/manual/maxima.html||shape="rect"]]
171 -* [[MAXIMA good practice examples>>url:https://bildungsportal.sachsen.de/opal/auth/RepositoryEntry/5499682817/CourseNode/93229879750473/wiki/Index||shape="rect"]]
172 -* [[MAXIMA system information>>url:http://maxima.sourceforge.net/||rel="nofollow" shape="rect" class="external-link"]]
164 +* [[MAXIMA Manual>>url:http://maxima.sourceforge.net/docs/manual/maxima.html||shape="rect"]]
165 +* [[MAXIMA Good-Practice-Beispiele>>url:https://bildungsportal.sachsen.de/opal/auth/RepositoryEntry/5499682817/CourseNode/93229879750473/wiki/Index||shape="rect"]]
166 +* [[MAXIMA Systeminformationen>>url:http://maxima.sourceforge.net/||rel="nofollow" shape="rect" class="external-link"]]
173 173  {{/panel}}
174 174  {{/scroll-ignore}}
175 175  {{/layout-cell}}
... ... @@ -179,20 +179,13 @@
179 179  {{layout-cell}}
180 180  == Range ==
181 181  
182 -For numerical variables, a value range can be defined. The variable value will be randomly determined within the defined value range. Please note that the specified limits are included in the selection. For variables of the type //**Integer** //, the step size (setting steps) can be determined in addition to the limits (setting minimum and maximum).
176 +For numerical variables, a value range can be defined. The variable value will be randomly determined within the defined value range. Please note that the specified limits are included in the selection. For variables of the type "Integer", the step size (setting steps) can be determined in addition to the limits (setting minimum and maximum).
183 183  
184 184  **Possible entries are for example:**
185 185  
186 -* //Range//~:// Minimum=2//,// maximum=11//,// steps=3//: The following values are possible {2, 5, 8, 11}. When the variable is used, a value will be randomly selected, for example 2.
187 -\\[[image:attach:Editor - Bildvariable Wertsetzung Wertebereich_de.png]]
180 +* //Range: Minimum=2, maximum=11, steps=3: //The following values are possible {2, 5, 8, 11}. When the variable is used, a value will be randomly selected, for example 2.
181 +\\[[image:attach:image2017-3-22 14:9:57.png]]
188 188  
189 -{{info}}
190 -The following examples for the use of numerical variables to generate random values show typical application scenarios:
191 -
192 -* [[Example "Probability">>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
193 -* [[Example "Transport" - Use of random parameters>>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
194 -{{/info}}
195 -
196 196  == Value (direct value assignment) ==
197 197  
198 198  You can directly assign a value to all types of variables in order to initialise them. Later on, the value can be changed depending on other variables (cf. conditions).
... ... @@ -199,8 +199,8 @@
199 199  
200 200  **Possible entries are for example:**
201 201  
202 -* //Value//~:// 5//~:// //The variable is assigned the value 5.
203 -* //Value//~:// -2.25//~:// //The variable is assigned the value -2.25.
189 +* //Value: 5: //The variable is assigned the value 5.
190 +* //Value: -2.25: //The variable is assigned the value -2.25.
204 204  
205 205  == Random ==
206 206  
... ... @@ -208,38 +208,92 @@
208 208  
209 209  **Possible entries are for example:**
210 210  
211 -* //Random selection//~:// -5//;// -3//;// 3//;// 5//~:// //One of the specified values will be randomly selected, for example 5.
212 -* //Random selection//~:// 0//;// 12.25//;// 13.5//: One of the specified values will be randomly selected, for example 12.25.
198 +* //Random selection: -5; -3; 3; 5: //One of the specified values will be randomly selected, for example 5.
199 +* //Random selection: 0; 12.25; 13.5: //One of the specified values will be randomly selected, for example 12.25.
213 213  
201 +=== Example "probability" ===
202 +
203 +As an example, a typical task out of probability theory and statistics will be completed. It is to calculate the probability of certain colour combinations, when different coloured spheres are randomly drawn from an urn.
204 +
205 +|(((
206 +[[image:attach:image2017-3-23 8:54:23.png]]
207 +)))|(((
208 +In the example, the numerical variables {BLUE}, {RED}, and {WHITE} are initialised with an integer value between 3 and 15, i.e. in the value range [3,15].
209 +
210 +Based on these random values, the sum of all spheres is determined ({sum}) as well as the probability of pulling a red sphere ({solution}).
211 +)))
212 +|(((
213 +[[image:attach:image2017-3-23 9:0:32.png]]
214 +)))|(((
215 +The variables are included in the task text by typing the variable names {BLUE}, {RED}, and {WHITE}. In the example, the variables are included in a task of the type [[calculation (cloze)>>url:https://www.bps-system.de/help/display/ONYXintern/.Berechnungsaufgabe+v1.11||shape="rect"]].
216 +
217 +The variables and the solutions ({RED}/{sum} and {solution}) are stored for the respective gaps.
218 +)))
219 +|(((
220 +[[image:attach:image2017-3-23 9:7:8.png]]
221 +)))|(((
222 +For the test run, values within the given value ranges are randomly selected for each participant and each test attempt. In the example, the values {BLUE} = 6, {RED} = red, and {WHITE} = 10 are randomly assigned.
223 +
224 +The solutions are automatically determined for each test run on the basis of the defined values and the calculation rule.
225 +)))
226 +
214 214  == Calculation (MAXIMA) ==
215 215  
216 -The ONYX Testsuite is connected with the [[computer algebra system MAXIMA>>url:http://maxima.sourceforge.net/||shape="rect"]], which allows you to calculate variable values on the basis of other variables. To do this, you need to indicate the calculation rule in MAXIMA notation.
229 +The ONYX Testsuite is connected with the [[computer algebra system MAXIMA>>url:http://maxima.sourceforge.net/||shape="rect"]], which allows you to calculate variable values on the basis of other variables. For this purpose, you need to indicate the calculation rule in MAXIMA notation.
217 217  
218 -For further information on the MAXIMA notation, please refer to the [[MAXIMA manual>>url:http://maxima.sourceforge.net/docs/manual/de/maxima.html||shape="rect"]]. A valuable compilation of examples can be found in the form of a wiki under [[MAXIMA good practice examples>>url:https://bildungsportal.sachsen.de/opal/auth/RepositoryEntry/5499682817/CourseNode/93229879750473/wiki/Index||shape="rect"]].
231 +{{info}}
232 +For further information on the MAXIMA notation, please refer to the help pages of the [[computer>>url:http://maxima.sourceforge.net/||shape="rect"]] [[algebra system MAXIMA>>url:http://maxima.sourceforge.net/||shape="rect"]].
233 +{{/info}}
219 219  
220 220  **Possible entries are for example:**
221 221  
222 -* //Calculation (MAXIMA)//~:// 5+{a}//: The sum of 5 and the variable value {a} is calculated. Please note that the variable {a} must have been previously defined.
223 -* //Calculation (MAXIMA)//~:// sqrt({a})/(5+sqrt({b}))//~:// //MAXIMA supports mathematical expressions such as sqrt() for square root.
224 -* //Calculation (MAXIMA)//~:// 2*sin({a})+log({b})//: Further, it is possible to use trigonometric functions or the logarithm function.
225 -\\[[image:attach:Editor - Bildvariable Wertsetzung Berechnung Maxima_de.png]]
237 +* //Calculation (MAXIMA): 5+{a}: //The sum of 5 and the variable value {a} is calculated. Please note that the variable {a} must have been previously defined.
238 +* //Calculation (MAXIMA): sqrt({a})/(5+sqrt({b})): //MAXIMA supports mathematical expressions such as sqrt() for square root.
239 +* //Calculation (MAXIMA): 2*sin({a})+log({b}): //Further, it is possible to use trigonometric functions or the logarithm function.
240 +\\[[image:attach:image2017-3-22 14:38:53.png]]
226 226  
227 -
242 +=== Example "hypotenuse" ===
228 228  
229 -{{info}}
230 -The following examples for the use of numerical variables to generate random values show typical application scenarios:
244 +As an example, a typical task out of geometry will be completed. The understanding of the hypotenuse is to be examined. The solution is supposed to be derivable from the knowledge that the hypotenuse is the longest side of a right triangle. To this end, the participant is given a variety of possible solutions, from which they need to choose the correct solution.
231 231  
232 -* [[Example "Hypotenuse">>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
233 -* [[Example "Transport" - Use of random parameters>>url:https://www.bps-system.de/help/display/ONYXintern/.Beispiele+zum+Einsatz+von+Variablen+v8.X||shape="rect"]]
234 -{{/info}}
246 +|(((
247 +[[image:attach:image2017-3-23 15:6:59.png]]
248 +)))|(((
249 +(% class="WordSection1" %)
250 +(((
251 +The first step in the example is the random determination of the catheti ({k1}, {k2}) of the triangle for the definition of the task.
252 +)))
235 235  
254 +To solve the task correctly, the value for the hypotenuse ({hyp}) needs to be calculated by means of a MAXIMA equation. In addition, further possible answer options ({a}, {b}, {c}) are computed by MAXIMA.
255 +
256 +For all variables of the type floating point, the display accuracy was set to 2 decimal places.
257 +)))
258 +|(((
259 +[[image:attach:image2017-3-23 14:39:27.png]][[image:attach:image2017-3-23 14:51:31.png]]
260 +)))|(((
261 +In the example, the variables are included in a [[selection task>>url:https://www.bps-system.de/help/display/ONYXintern/.Auswahlaufgabe+v1.11||shape="rect"]]. The variables for the task text are integrated into the task by declaring the variable names {k1} and {k2}. The correct solution ({hyp}) and the alternative answers ({a}, {b}, {c}) are additionally provided in the form of answer options.
262 +)))
263 +|(((
264 +[[image:attach:image2017-3-23 14:56:46.png]]
265 +)))|(((
266 +For the test run, the values of the catheti ({k1}, {k2}) are randomly selected for each participant and each test attempt within the given value ranges.
267 +
268 +In the example, the following random values were displayed for the variables: {k1} = 4, {k2} = 13.
269 +
270 +Based on these values and the defined calculation rules, the hypotenuse and the alternative answer options are calculated, and the following values are displayed in the example task: {a} = 17.00, {hyp} = 13.60, {b} = 8.50, and {c} = 5.39 cm.
271 +
272 +Thus, the correct rounded solution for the hypotenuse in the example is 13.60 cm. The answer options {a}, {b}, and {c} can be logically excluded due to the knowledge that the hypotenuse is larger than the respective catheti and smaller than the sum of the catheti.
273 +)))
274 +
275 +
276 +
236 236  == Setting: Format display ==
237 237  
238 -For variables of the type floating point, the **number of decimal places **can be configured for the display. Please note that this setting only affects the display, not the computational accuracy and the solution comparison. This means: If the variable is used for the calculation of additional variables, the complete unrounded value will be used for the calculation. If the variable is stored as a solution for a gap (calculation interaction), the configured number of decimal places will be used for the solution display, but not for the solution comparison.
279 +For variables of the type floating point, the **number of decimal places **can be configured for the display. Please note that this setting only affects the display, not the computational accuracy and the solution comparison. This means: If the variable is used for the calculation of additional variables, the complete unrounded value will be used for the calculation. If the variable is stored as a solution for a gap (calculation task), the configured number of decimal places will be used for the solution display, but not for the solution comparison.
239 239  
240 240  
241 241  
242 -[[image:attach:Editor - Formatierung der Dezimalstellenanzeige_de.png]]
283 +[[image:attach:onyx-variables-float.png]]
243 243  
244 244  
245 245  
Confluence.Code.ConfluencePageClass[0]
id
... ... @@ -1,1 +1,1 @@
1 -301072856
1 +226231171
url
... ... @@ -1,1 +1,1 @@
1 -https://www.bps-system.de/help/display/SOV/wiki/spaces/ONYX/pages/301072856/Numerische Variablen
1 +https://www.bps-system.de/help/display/SOV/wiki/spaces/ONYX/pages/226231171/Numerische Variablen