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COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY

Year 2013, Volume: 1 Issue: 1, 1 - 16, 01.03.2013

Abstract

This study investigated students’ responses to 49 released TIMSS-2007 mathematics items and considered what those responses might show about participants' mastery level of cognitive attributes. There were 4,498 8th-grade students from seven geographical regions of Turkey who responded to these TIMSS items. In this study, an IRT analysis was also conducted to both compare item parameters based on the data from Turkey with international item parameters. As a result of this study, educators in Turkey should note that students have weaker knowledge in geometry, graphics, charts, figures, rule application in algebra, and data management and stronger skills with whole numbers and integers, data, probability, and basic statistics, translating/formulating equations and expressions to solve a problem, judgmental applications of knowledge in arithmetic and geometry, and applying and evaluating mathematical correctness. The results of the present study can help teachers and curriculum developers in Turkey ensure that the utilized educational policies and methodologies help students to improve their cognitive mastery levels.

References

  • Bolt, D. (2007).The present and future of IRT-based cognitive diagnostic models (ICDMs) and related methods.
  • Journal of Educational Measurement, 44(4), 377-383. DiBello, L. V., & Stout, W. (2007). Guest editors’ introduction and overview: IRT-based cognitive diagnostic models and related methods. Journal of Educational Measurement, 44, 285–291.
  • Dimitrov, D. M. (2007). Least squares distance method of cognitive validation and analysis for binary items using their item response theory parameters. Applied Psychological Measurement, 31(5), 367-387.
  • Gierl, M. J. (2007). Making diagnostic inferences about cognitive attributes using the rule space model and attribute hierarchy method. Journal of Educational Measurement, 44, 325–340.
  • Linacre, J. M. (2007). Winsteps (Version 3.64.2) [Computer Software]. Chicago: Winsteps.com.
  • Martinez, J. (2001) Exploring, inventing, and discovering mathematics: A pedagogical response to TIMSS.
  • Mathematics Teaching in Middle School, 7(2), 114-120. MEB-EARGED (2003). Üçüncü Uluslararası Fen ve Matematik Çalışması (TIMSS 1999) Ulusal Rapor [Third international mathematics and science study (TIMSS 1999) national report]. Ankara: Turkey.
  • Olson, J. F., Martin, M. O., & Mullis, I. V. S. (Eds.). TIMSS 2007 Technical Report. Chestnut Hill, MA: Boston
  • College, TIMSS & PIRLS International Study Center, 2008; http://timss.bc.edu/TIMSS2007/techreport.html.
  • McGlohen, M. (2004).The application of cognitive diagnosis and computerized adaptive testing to a large-scale assessment. Unpublished Doctoral Dissertation, University of Texas at Austin, TX.
  • Tatsuoka, K. K. (1983). Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement 20(4), 901-926.
  • Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed mathematical content and process skills in TIMSS-R across a sample of 20 countries. American Educational Research Journal, 41(4), 901-926.
  • The MathWorks, Inc. (2005). MATLAB (Version 7.1) [Computer software]. Natick, MA: The MathWorks, Inc.

COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY

Year 2013, Volume: 1 Issue: 1, 1 - 16, 01.03.2013

Abstract

Bu çalısma TIMSS-2007 Türkiye evreni çerçevesinde yapılmıs olup ögrencilerin bilissel yeterlilik düzeyleri incelenmistir. TIMSS-2007 sınavına Türkiye’nin yedi cografık bölgesinden 4.498 sekizinci sınıf ögrencisi katılmıstır. Ayrıca bu çalısmada IRT analizi kullanılarak uluslararası madde güçlükleri ile Türkiye evrenine ait madde güçlükleri de karsılastırılmıstır. Bu çalısma sonucunda ögrencilerin geometri, grafikler, figürler, cebir kuralları, data yönetimi, tam sayılar, olasılık, basit analiz, problem çözümünde formül kullanımı, elestirel düsünme, uygulamalı matematik ve geometri alanlarında zorluklar yasadıgı yargısına ulasılmıstır. Bu çalısmanın sonuçlarının ögretmenlere ve matematik programı hazırlayanlara, Türk egitim sisteminde uygulanan politikaların ve yöntemlerin ögrencilerin bilissel yeteneklerini gelistirebilmeleri adına yardımcı olması düsünülmektedir.

References

  • Bolt, D. (2007).The present and future of IRT-based cognitive diagnostic models (ICDMs) and related methods.
  • Journal of Educational Measurement, 44(4), 377-383. DiBello, L. V., & Stout, W. (2007). Guest editors’ introduction and overview: IRT-based cognitive diagnostic models and related methods. Journal of Educational Measurement, 44, 285–291.
  • Dimitrov, D. M. (2007). Least squares distance method of cognitive validation and analysis for binary items using their item response theory parameters. Applied Psychological Measurement, 31(5), 367-387.
  • Gierl, M. J. (2007). Making diagnostic inferences about cognitive attributes using the rule space model and attribute hierarchy method. Journal of Educational Measurement, 44, 325–340.
  • Linacre, J. M. (2007). Winsteps (Version 3.64.2) [Computer Software]. Chicago: Winsteps.com.
  • Martinez, J. (2001) Exploring, inventing, and discovering mathematics: A pedagogical response to TIMSS.
  • Mathematics Teaching in Middle School, 7(2), 114-120. MEB-EARGED (2003). Üçüncü Uluslararası Fen ve Matematik Çalışması (TIMSS 1999) Ulusal Rapor [Third international mathematics and science study (TIMSS 1999) national report]. Ankara: Turkey.
  • Olson, J. F., Martin, M. O., & Mullis, I. V. S. (Eds.). TIMSS 2007 Technical Report. Chestnut Hill, MA: Boston
  • College, TIMSS & PIRLS International Study Center, 2008; http://timss.bc.edu/TIMSS2007/techreport.html.
  • McGlohen, M. (2004).The application of cognitive diagnosis and computerized adaptive testing to a large-scale assessment. Unpublished Doctoral Dissertation, University of Texas at Austin, TX.
  • Tatsuoka, K. K. (1983). Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement 20(4), 901-926.
  • Tatsuoka, K. K., Corter, J. E., & Tatsuoka, C. (2004). Patterns of diagnosed mathematical content and process skills in TIMSS-R across a sample of 20 countries. American Educational Research Journal, 41(4), 901-926.
  • The MathWorks, Inc. (2005). MATLAB (Version 7.1) [Computer software]. Natick, MA: The MathWorks, Inc.
There are 13 citations in total.

Details

Primary Language Turkish
Journal Section Articles
Authors

Kathy Green This is me

Türker Toker This is me

Publication Date March 1, 2013
Published in Issue Year 2013 Volume: 1 Issue: 1

Cite

APA Green, K., & Toker, T. (2013). COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY. Journal of Educational Science, 1(1), 1-16.
AMA Green K, Toker T. COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY. Journal of Educational Science. March 2013;1(1):1-16.
Chicago Green, Kathy, and Türker Toker. “COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY”. Journal of Educational Science 1, no. 1 (March 2013): 1-16.
EndNote Green K, Toker T (March 1, 2013) COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY. Journal of Educational Science 1 1 1–16.
IEEE K. Green and T. Toker, “COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY”, Journal of Educational Science, vol. 1, no. 1, pp. 1–16, 2013.
ISNAD Green, Kathy - Toker, Türker. “COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY”. Journal of Educational Science 1/1 (March 2013), 1-16.
JAMA Green K, Toker T. COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY. Journal of Educational Science. 2013;1:1–16.
MLA Green, Kathy and Türker Toker. “COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY”. Journal of Educational Science, vol. 1, no. 1, 2013, pp. 1-16.
Vancouver Green K, Toker T. COGNITIVE DIAGNOSTIC ASSESSMENT OF TIMSS-2007 MATHEMATICS ACHIEVEMENT ITEMS FOR 8TH GRADERS IN TURKEY. Journal of Educational Science. 2013;1(1):1-16.