Document (#44004)

Author

Escher, J.

Title

Mündliche Prüfung mit ChatGPT : Oder warum die Primzahl 2023 = 43 × 47 ist

Source

Mitteilungen der Deutschen Mathematiker-Vereinigung. 2023, H.2, S.102-103

Year

2023

Abstract

Der folgende Text ist aus einer Spielerei mit der KI-Software ChatGPT entstanden. Die ersten paar Fragen und Antworten erzeugten bald eine Situation, die viele als Prüfende aus mündlichen Prüfungen kennen: Es läuft nicht rund, es fallen falsche Antworten oder Fragen können nicht beantwortet werden. Als Folge versucht man zu verstehen, warum sich Prüflinge mit einer Frage schwertun. Es wird der Ehrgeiz geweckt, die sokratische Methode besonders geistreich anzuwenden, um einer richtigen Antwort oder einer Erkenntnis näher zu kommen. Genau diese Mechanik hat sich bei mir eingestellt, und ich habe mich entschlossen, das nachfolgende ,Prüfungsgespräch' zu protokollieren und etwas zu kommentieren. Ich habe dabei einen leichten Duktus gewählt, nicht etwa um mich über Antworten oder die Software lustig zu machen, sondern um zur Lektüre eines Prüfungsprotokolls einzuladen.

Content

Vgl.: DOI 10.1515/dmvm-2023-0035.

Field

Mathematik

Object

ChatGPT

Similar documents (content)

1. Wersig, G.: "Wiederverzauberung" und "Medienkompetenz" in der Informationsgesellschaft : Vortrag auf dem Oberhofer Kolloquium "Kommunikationskompetenz" in Gotha, 7. bis 9. April 2005 (2005) 0.14

   0.13836363 = sum of:
     0.13836363 = product of:
       0.4941558 = sum of:
         0.038237937 = weight(abstract_txt:fragen in 3985) [ClassicSimilarity], result of:
           0.038237937 = score(doc=3985,freq=1.0), product of:
             0.14540575 = queryWeight, product of:
               1.3922082 = boost
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.018616835 = queryNorm
             0.26297402 = fieldWeight in 3985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.052731622 = weight(abstract_txt:nicht in 3985) [ClassicSimilarity], result of:
           0.052731622 = score(doc=3985,freq=7.0), product of:
             0.107802905 = queryWeight, product of:
               1.4681629 = boost
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.018616835 = queryNorm
             0.48914844 = fieldWeight in 3985, product of:
               2.6457512 = tf(freq=7.0), with freq of:
                 7.0 = termFreq=7.0
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.06269954 = weight(abstract_txt:warum in 3985) [ClassicSimilarity], result of:
           0.06269954 = score(doc=3985,freq=1.0), product of:
             0.20219088 = queryWeight, product of:
               1.6417013 = boost
               6.615483 = idf(docFreq=160, maxDocs=44218)
               0.018616835 = queryNorm
             0.31010076 = fieldWeight in 3985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               6.615483 = idf(docFreq=160, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.081491105 = weight(abstract_txt:habe in 3985) [ClassicSimilarity], result of:
           0.081491105 = score(doc=3985,freq=1.0), product of:
             0.24080127 = queryWeight, product of:
               1.791607 = boost
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.018616835 = queryNorm
             0.33841643 = fieldWeight in 3985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.100635745 = weight(abstract_txt:mich in 3985) [ClassicSimilarity], result of:
           0.100635745 = score(doc=3985,freq=1.0), product of:
             0.27717462 = queryWeight, product of:
               1.9221625 = boost
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.018616835 = queryNorm
             0.36307704 = fieldWeight in 3985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.043944787 = weight(abstract_txt:einer in 3985) [ClassicSimilarity], result of:
           0.043944787 = score(doc=3985,freq=3.0), product of:
             0.13936694 = queryWeight, product of:
               1.9275615 = boost
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.018616835 = queryNorm
             0.31531715 = fieldWeight in 3985, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
         0.11441508 = weight(abstract_txt:antworten in 3985) [ClassicSimilarity], result of:
           0.11441508 = score(doc=3985,freq=1.0), product of:
             0.34562454 = queryWeight, product of:
               2.6288226 = boost
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.018616835 = queryNorm
             0.33103865 = fieldWeight in 3985, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.046875 = fieldNorm(doc=3985)
       0.28 = coord(7/25)
   

2. Weizenbaum, J.: ¬Die Interpretation macht aus Signalen Informationen : Kinder und Computer (2001) 0.14

   0.13804008 = sum of:
     0.13804008 = product of:
       0.575167 = sum of:
         0.023252461 = weight(abstract_txt:nicht in 6372) [ClassicSimilarity], result of:
           0.023252461 = score(doc=6372,freq=1.0), product of:
             0.107802905 = queryWeight, product of:
               1.4681629 = boost
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.018616835 = queryNorm
             0.21569419 = fieldWeight in 6372, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
         0.103448965 = weight(abstract_txt:warum in 6372) [ClassicSimilarity], result of:
           0.103448965 = score(doc=6372,freq=2.0), product of:
             0.20219088 = queryWeight, product of:
               1.6417013 = boost
               6.615483 = idf(docFreq=160, maxDocs=44218)
               0.018616835 = queryNorm
             0.51164013 = fieldWeight in 6372, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               6.615483 = idf(docFreq=160, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
         0.16467118 = weight(abstract_txt:habe in 6372) [ClassicSimilarity], result of:
           0.16467118 = score(doc=6372,freq=3.0), product of:
             0.24080127 = queryWeight, product of:
               1.791607 = boost
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.018616835 = queryNorm
             0.68384683 = fieldWeight in 6372, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
         0.20335725 = weight(abstract_txt:mich in 6372) [ClassicSimilarity], result of:
           0.20335725 = score(doc=6372,freq=3.0), product of:
             0.27717462 = queryWeight, product of:
               1.9221625 = boost
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.018616835 = queryNorm
             0.7336792 = fieldWeight in 6372, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
         0.041860893 = weight(abstract_txt:einer in 6372) [ClassicSimilarity], result of:
           0.041860893 = score(doc=6372,freq=2.0), product of:
             0.13936694 = queryWeight, product of:
               1.9275615 = boost
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.018616835 = queryNorm
             0.30036458 = fieldWeight in 6372, product of:
               1.4142135 = tf(freq=2.0), with freq of:
                 2.0 = termFreq=2.0
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
         0.03857624 = weight(abstract_txt:oder in 6372) [ClassicSimilarity], result of:
           0.03857624 = score(doc=6372,freq=1.0), product of:
             0.16628155 = queryWeight, product of:
               2.1054766 = boost
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.018616835 = queryNorm
             0.23199353 = fieldWeight in 6372, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.0546875 = fieldNorm(doc=6372)
       0.24 = coord(6/25)
   

3. Rötzer, F.: Kann KI mit KI generierte Texte erkennen? (2019) 0.11

   0.11485606 = sum of:
     0.11485606 = product of:
       0.57428026 = sum of:
         0.07647587 = weight(abstract_txt:fragen in 3977) [ClassicSimilarity], result of:
           0.07647587 = score(doc=3977,freq=1.0), product of:
             0.14540575 = queryWeight, product of:
               1.3922082 = boost
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.018616835 = queryNorm
             0.52594805 = fieldWeight in 3977, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.09375 = fieldNorm(doc=3977)
         0.03986136 = weight(abstract_txt:nicht in 3977) [ClassicSimilarity], result of:
           0.03986136 = score(doc=3977,freq=1.0), product of:
             0.107802905 = queryWeight, product of:
               1.4681629 = boost
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.018616835 = queryNorm
             0.36976147 = fieldWeight in 3977, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.09375 = fieldNorm(doc=3977)
         0.16298221 = weight(abstract_txt:habe in 3977) [ClassicSimilarity], result of:
           0.16298221 = score(doc=3977,freq=1.0), product of:
             0.24080127 = queryWeight, product of:
               1.791607 = boost
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.018616835 = queryNorm
             0.67683285 = fieldWeight in 3977, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.09375 = fieldNorm(doc=3977)
         0.066130705 = weight(abstract_txt:oder in 3977) [ClassicSimilarity], result of:
           0.066130705 = score(doc=3977,freq=1.0), product of:
             0.16628155 = queryWeight, product of:
               2.1054766 = boost
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.018616835 = queryNorm
             0.3977032 = fieldWeight in 3977, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.09375 = fieldNorm(doc=3977)
         0.22883016 = weight(abstract_txt:antworten in 3977) [ClassicSimilarity], result of:
           0.22883016 = score(doc=3977,freq=1.0), product of:
             0.34562454 = queryWeight, product of:
               2.6288226 = boost
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.018616835 = queryNorm
             0.6620773 = fieldWeight in 3977, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.09375 = fieldNorm(doc=3977)
       0.2 = coord(5/25)
   

4. dpa: Informationen über Farbe und Form getrennt : Hirnforschung (2001) 0.11

   0.10983133 = sum of:
     0.10983133 = product of:
       0.45763057 = sum of:
         0.09510846 = weight(abstract_txt:falsche in 5926) [ClassicSimilarity], result of:
           0.09510846 = score(doc=5926,freq=1.0), product of:
             0.1748889 = queryWeight, product of:
               1.0796413 = boost
               8.701155 = idf(docFreq=19, maxDocs=44218)
               0.018616835 = queryNorm
             0.54382217 = fieldWeight in 5926, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               8.701155 = idf(docFreq=19, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
         0.050983917 = weight(abstract_txt:fragen in 5926) [ClassicSimilarity], result of:
           0.050983917 = score(doc=5926,freq=1.0), product of:
             0.14540575 = queryWeight, product of:
               1.3922082 = boost
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.018616835 = queryNorm
             0.35063204 = fieldWeight in 5926, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
         0.026574241 = weight(abstract_txt:nicht in 5926) [ClassicSimilarity], result of:
           0.026574241 = score(doc=5926,freq=1.0), product of:
             0.107802905 = queryWeight, product of:
               1.4681629 = boost
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.018616835 = queryNorm
             0.24650764 = fieldWeight in 5926, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
         0.03382871 = weight(abstract_txt:einer in 5926) [ClassicSimilarity], result of:
           0.03382871 = score(doc=5926,freq=1.0), product of:
             0.13936694 = queryWeight, product of:
               1.9275615 = boost
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.018616835 = queryNorm
             0.24273124 = fieldWeight in 5926, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
         0.098581836 = weight(abstract_txt:oder in 5926) [ClassicSimilarity], result of:
           0.098581836 = score(doc=5926,freq=5.0), product of:
             0.16628155 = queryWeight, product of:
               2.1054766 = boost
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.018616835 = queryNorm
             0.59286094 = fieldWeight in 5926, product of:
               2.236068 = tf(freq=5.0), with freq of:
                 5.0 = termFreq=5.0
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
         0.15255344 = weight(abstract_txt:antworten in 5926) [ClassicSimilarity], result of:
           0.15255344 = score(doc=5926,freq=1.0), product of:
             0.34562454 = queryWeight, product of:
               2.6288226 = boost
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.018616835 = queryNorm
             0.44138488 = fieldWeight in 5926, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               7.062158 = idf(docFreq=102, maxDocs=44218)
               0.0625 = fieldNorm(doc=5926)
       0.24 = coord(6/25)
   

5. Bertram, J.: Einführung in die inhaltliche Erschließung : Grundlagen - Methoden - Instrumente (2005) 0.10

   0.103010364 = sum of:
     0.103010364 = product of:
       0.42920986 = sum of:
         0.025491958 = weight(abstract_txt:fragen in 210) [ClassicSimilarity], result of:
           0.025491958 = score(doc=210,freq=1.0), product of:
             0.14540575 = queryWeight, product of:
               1.3922082 = boost
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.018616835 = queryNorm
             0.17531602 = fieldWeight in 210, product of:
               1.0 = tf(freq=1.0), with freq of:
                 1.0 = termFreq=1.0
               5.6101127 = idf(docFreq=439, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
         0.023013966 = weight(abstract_txt:nicht in 210) [ClassicSimilarity], result of:
           0.023013966 = score(doc=210,freq=3.0), product of:
             0.107802905 = queryWeight, product of:
               1.4681629 = boost
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.018616835 = queryNorm
             0.21348187 = fieldWeight in 210, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.9441223 = idf(docFreq=2327, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
         0.13307443 = weight(abstract_txt:habe in 210) [ClassicSimilarity], result of:
           0.13307443 = score(doc=210,freq=6.0), product of:
             0.24080127 = queryWeight, product of:
               1.791607 = boost
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.018616835 = queryNorm
             0.55263174 = fieldWeight in 210, product of:
               2.4494898 = tf(freq=6.0), with freq of:
                 6.0 = termFreq=6.0
               7.2195506 = idf(docFreq=87, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
         0.16433749 = weight(abstract_txt:mich in 210) [ClassicSimilarity], result of:
           0.16433749 = score(doc=210,freq=6.0), product of:
             0.27717462 = queryWeight, product of:
               1.9221625 = boost
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.018616835 = queryNorm
             0.59290236 = fieldWeight in 210, product of:
               2.4494898 = tf(freq=6.0), with freq of:
                 6.0 = termFreq=6.0
               7.7456436 = idf(docFreq=51, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
         0.029296523 = weight(abstract_txt:einer in 210) [ClassicSimilarity], result of:
           0.029296523 = score(doc=210,freq=3.0), product of:
             0.13936694 = queryWeight, product of:
               1.9275615 = boost
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.018616835 = queryNorm
             0.21021143 = fieldWeight in 210, product of:
               1.7320508 = tf(freq=3.0), with freq of:
                 3.0 = termFreq=3.0
               3.8837 = idf(docFreq=2472, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
         0.053995494 = weight(abstract_txt:oder in 210) [ClassicSimilarity], result of:
           0.053995494 = score(doc=210,freq=6.0), product of:
             0.16628155 = queryWeight, product of:
               2.1054766 = boost
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.018616835 = queryNorm
             0.3247233 = fieldWeight in 210, product of:
               2.4494898 = tf(freq=6.0), with freq of:
                 6.0 = termFreq=6.0
               4.2421675 = idf(docFreq=1727, maxDocs=44218)
               0.03125 = fieldNorm(doc=210)
       0.24 = coord(6/25)