Keywords
ability level
IRT-models
procedure of analysis and effectiveness increase of the test
testing in higher mathematics
How to Cite
Abstract
The present paper studies the issue of effectiveness analysis of pedagogical tests based on calculation of information functions. The algorithms of computation and analysis of information function depending on the type of test item and the chosen model of Item Response Theory are given. The procedure of analysis and effectiveness increase of the test in higher mathematics is developed. The application of this procedure to the test on “Differential calculus of functions of one variable” that was administered for the first-year students of Faculty of Radio Engineering and Institute of Telecommunication Systems of NTU "KPI" in 2013 is demonstrated.References
Baker F. The Basics of Item Response Theory / F. Baker. – ERIC Clearinghouse on Assessment and Evaluation, 2001. – 172 p.
Birnbaum A. Some Latent Trait Models and Their Use in Inferring an Examinee’s Ability. In Lord F. M. and Novick M. Statistical Theories of Test scores / A. Birnbaum. –– Reading Mass. : Addison–Wesley, 1968. – Рp. 397–479.
Linden W. Handbook of Modern Item Response Theory / W. Linden, R.Hambleton. – NY : Springer-Verlag, 1997. – 510 p.
Muraki E. Information Functions of the Generalized Partial Credit Model / E. Muraki // Applied Psychological Measurement. – Vol 17(4). – 1993. –– Рp. 351–363.
Samejima F. Estimation of Latent Ability Using a Response Pattern of Graded Scores / F. Samejima // Psychometrika Monograph. – № 17. – 1969. – Рp. 1–100.
Аванесов В. С. Item Response Theory: Основные понятия и положення / В. С. Аванесов // Педагогические измерения. – 2007. – № 2. –– С. 3–28.
Диховичний О. О. Автоматизована система аналізу результатів комп’ютерного тестування з вищої математики / О. О. Диховичний, А. Ф. Дудко // Наукові праці ДонНТУ. Серія: «Педагогіка, психологія і соціологія». – № 2 (14). – Донецьк, 2013. – C. 103–110.
Ефремова Н. Ф. Тестовый контроль в образовании : учеб. пособие / Н. Ф. Ефремова. – М. : Университетская книга, Логос, 2005. – 368 с.
Ким В. С. Тестирование учебных дострижений : монография / В. С. Ким. – Уссурийск : Издательство УГПИ, 2007. – 214 с.
Лісова Т. В. Моделі та методи сучасної теорії тестів / Т. В. Лісова. – Ніжин : Видавець ПП Лисенко М. М., 2012. – 112 с.
Про розвиток та досвід експлуатації комплекту дистанційної освіти «Вища математика» / [І. В. Алексєєва, В. О. Гайдей, О. О. Диховичний та ін.] // Дидактика математики: проблеми і дослідження : міжнар. зб. наук. робіт. – Вип. 31. – Донецьк : Вид-во ДонНТУ, 2009. – C. 49–56.
Челышкова М. Б. Теория и практика конструирования педагогических тестов / М. Б. Челышкова. – М. : Логос, 2002. – 431 с.
REFERENCES (TRANSLATED AND TRANSLITERATED)
Baker F. The Basics of Item Response Theory / F. Baker. – ERIC Clearinghouse on Assessment and Evaluation, 2001. – 172 p. (in English)
Birnbaum A. Some Latent Trait Models and Their Use in Inferring an Examinee’s Ability. InLord F. M. and Novick M. Statistical Theories of Test scores / A. Birnbaum. –– Reading Mass. : Addison–Wesley, 1968. – Рp. 397–479. (in English)
Linden W. Handbook of Modern Item Response Theory / W. Linden, R.Hambleton. – NY : Springer-Verlag, 1997. – 510 p. (in English)
Muraki E. Information Functions of the Generalized Partial Credit Model / E. Muraki // Applied Psychological Measurement. – Vol 17(4). – 1993. – Рp. 351–363. (in English)
Samejima F. Estimation of Latent Ability Using a Response Pattern of Graded Scores / F. Samejima // Psychometrika Monograph. – № 17. – 1969. – Рp. 1–100. (in English)
Avanesov V. S. Item Response Theory: The basic concepts and propositions. /V. S. Avanesov // PedagogicheskieIzmereniya. – 2007. – №2. – С. 3–28 (in Russian).
DykhovychnyiA. A. Computer-based analysis systemof results of online testing in higher mathematics / A. A.Dykhovychnyi, А. F.Dudko // NaukovipratsiDonNTU. Seriia: «Pedahohika, psykholohiia i sotsiolohiia». – №2 (14). – Donetsk, 2013. – C. 103–110 (in Ukrainian).
Efremova N. F.Test control in education: textbook / N. F.Efremova. – M. : Universitetskaja kniga, Logos, 2005. – 368 с. (in Russian).
Kim V. S.Testing of educational achievements. Monograph / V. S.Kim. – Ussurijsk : Izdatel'stvo UGPI, 2007. – 214 с. (in Russian).
Lisova T. V. Models and methods of the modern test theory / T. V.Lisova. – Nizhin : Vidavets PP Lisenko M. M., 2012. – 112 с. (in Ukrainian).
On the development and operation experience of set of distance education “Higher Mathematics” / [I. V. Alekseeva, V. O. Gaydey, O. O. Dihovichniy etc.] // Didaktika matematiki: problemi i doslidzhennya : mizhnar. zb. nauk. robit. – Issue 31. – Donetsk : Vid-vo DonNTU, 2009. – C. 49–56 (in Ukrainian).
Chelyshkova M. B.Theory and practice of constructing of pedagogical tests / M. B. Chelyshkova. – M. : Logos, 2002. – 431 с. (in Russian).
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