Skip to main content

2020 | OriginalPaper | Buchkapitel

The Design and Implementation of a Computerized Adaptive Testing System for School Mathematics Based on Item Response Theory

verfasst von : Jiyou Jia, Huixiao Le

Erschienen in: Technology in Education. Innovations for Online Teaching and Learning

Verlag: Springer Singapore

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

On the contrary to classical school test, the computerized adaptive test (CAT) based on IRT (Item Response Theory) stepwise estimates every examinee’ response to every question item and provides the examinee with the next corresponding and appropriate question item. The online intelligent tutoring system “Lexue 100” has been used by more than 100,000 junior high school students in China in the past 7 years. It has more than 70,000 sets of mathematics quizzes designed for different units in the various textbooks. Each of about 68,600 quizzes among the 70,000 sets has been used by more than 100 students. We analyzed those quizzes, calibrated the original 740,910 IRT parameters for the questions composing the quizzes, recalculated the parameters by using linking algorithms for 194,205 question items. Based on this large question bank with pre-calibrated parameters for every question, we designed and implemented a computerized adaptive test system for school mathematics.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Allen, M.J., Yen, W.M.: Introduction to Measurement Theory. Waveland Press, Long Grove (2002) Allen, M.J., Yen, W.M.: Introduction to Measurement Theory. Waveland Press, Long Grove (2002)
Zurück zum Zitat De Ayala, R.J.: The Theory and Practice of Item Response Theory. Guilford Press, New York (2009) De Ayala, R.J.: The Theory and Practice of Item Response Theory. Guilford Press, New York (2009)
Zurück zum Zitat Eignor, D., Stocking, M, Way, W., Steffen, M.: Case studies in Computer Adaptive Test Design Through Simulation. Educational Testing Service Research Report RR-93-66, Princeton (1993) Eignor, D., Stocking, M, Way, W., Steffen, M.: Case studies in Computer Adaptive Test Design Through Simulation. Educational Testing Service Research Report RR-93-66, Princeton (1993)
Zurück zum Zitat Haebara, T.: Equating logistic ability scales by a weighted least squares method. Jpn. Psychol. Res. 22(3), 144–149 (1980)CrossRef Haebara, T.: Equating logistic ability scales by a weighted least squares method. Jpn. Psychol. Res. 22(3), 144–149 (1980)CrossRef
Zurück zum Zitat Hambleton, R.K., Jones, R.W.: Comparison of classical test theory and item response theory and their applications to test development. Educ. Meas. Issues Pract. 12(3), 3847 (1993) Hambleton, R.K., Jones, R.W.: Comparison of classical test theory and item response theory and their applications to test development. Educ. Meas. Issues Pract. 12(3), 3847 (1993)
Zurück zum Zitat Le, H., Jia, J., Wong, L.: The analysis of timeout behaviours in online tests. Int. J. Innov. Learn. 27(3), 310–323 (2020)CrossRef Le, H., Jia, J., Wong, L.: The analysis of timeout behaviours in online tests. Int. J. Innov. Learn. 27(3), 310–323 (2020)CrossRef
Zurück zum Zitat Lee, W.C., Ban, J.C.: A comparison of IRT linking procedures. Appl. Meas. Educ. 23(1), 23–48 (2009)CrossRef Lee, W.C., Ban, J.C.: A comparison of IRT linking procedures. Appl. Meas. Educ. 23(1), 23–48 (2009)CrossRef
Zurück zum Zitat Lord, F.M., Novick, M.R.: Statistical Theories of Mental Test Scores. Addison-Welsley Publishing, Reading (1968)MATH Lord, F.M., Novick, M.R.: Statistical Theories of Mental Test Scores. Addison-Welsley Publishing, Reading (1968)MATH
Zurück zum Zitat Loyd, B.H., Hoover, H.D.: Vertical equating using the Rasch model. J. Educ. Meas. 17(3), 179–193 (1980)CrossRef Loyd, B.H., Hoover, H.D.: Vertical equating using the Rasch model. J. Educ. Meas. 17(3), 179–193 (1980)CrossRef
Zurück zum Zitat Marco, G.L.: Item characteristic curve solutions to three intractable testing problems. J. Educ. Meas. 14(2), 139–160 (1977)CrossRef Marco, G.L.: Item characteristic curve solutions to three intractable testing problems. J. Educ. Meas. 14(2), 139–160 (1977)CrossRef
Zurück zum Zitat Novick, M.R.: The axioms and principal results of classical test theory. J. Math. Psychol. 3(1), 1–18 (1966)MathSciNetCrossRef Novick, M.R.: The axioms and principal results of classical test theory. J. Math. Psychol. 3(1), 1–18 (1966)MathSciNetCrossRef
Zurück zum Zitat Stocking, M.L., Lord, F.M.: Developing a common metric in item response theory. Appl. Psychol. Meas. 7(2), 201–210 (1983)CrossRef Stocking, M.L., Lord, F.M.: Developing a common metric in item response theory. Appl. Psychol. Meas. 7(2), 201–210 (1983)CrossRef
Zurück zum Zitat Traub, R.: Classical test theory in historical perspective. Educ. Meas. Issues Pract. 16(4), 8–14 (1997). 9 Traub, R.: Classical test theory in historical perspective. Educ. Meas. Issues Pract. 16(4), 8–14 (1997). 9
Zurück zum Zitat Zhang, B., Jia, J.: Evaluating an intelligent tutoring system for personalized math teaching. In: Proceedings of International Symposium on Educational Technology 2017, pp. 126–130 (2017) Zhang, B., Jia, J.: Evaluating an intelligent tutoring system for personalized math teaching. In: Proceedings of International Symposium on Educational Technology 2017, pp. 126–130 (2017)
Metadaten
Titel
The Design and Implementation of a Computerized Adaptive Testing System for School Mathematics Based on Item Response Theory
verfasst von
Jiyou Jia
Huixiao Le
Copyright-Jahr
2020
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-33-4594-2_9

Premium Partner