The relationship between mathematical literacy and visual math literacy selfefficacy perceptions of middle school students

In this study, the levels of mathematical literacy and visual math literacy self-efficacy perceptions of middle school students and the relationship between them were investigated. For this aim, the study was desgined as a correlational research model. The study group was determined according to convenience sampling. 328 middle school students (5th, 6th, 7th, and 8th graders) participated in this study with this sampling. In order to collect data, first, “Mathematical Literacy Scale” was developed. It was seen that the scale has just one dimension according to the exploratory factor analysis. It was found that the ratio χ 2 /df of the scale was found as 2.16 according to confirmatory factor analysis. This value showed that the scale indicates perfect fit. Besides, “A Visual Math Literacy Self-Efficacy Perception Scale” was used in order to measure the visual math literacy self-efficacy perceptions of middle school students. As a result, it was determined that middle school students’ mathematical literacy levels and their visual math literacy self-efficacy perceptions’ level are high. It was found that there is a high positive significant relationship between middle school students’ mathematical literacy and their visual math literacy self-efficacy perceptions.

Ortaokul öğrencilerinin matematik okuryazarlığı ile görsel matematik okuryazarlığı öz-yeterlik algıları arasındaki ilişki

Bu çalışmada, ortaokul öğrencilerinin matematik okuryazarlığı ve görsel matematik okuryazarlığı öz-yeterlik algılarının ne düzeyde olduğu ve aralarındaki ilişki araştırılmıştır. Bu amaçla çalışma ilişkisel araştırma modeline göre düzenlenmiştir. Çalışma grubu uygun örneklemeye göre belirlenmiştir. Bu örnekleme yöntemine göre çalışmaya 328 ortaokul (5, 6, 7 ve 8. sınıflar) öğrencisi katılmıştır. Veri toplamak amacıyla, ilk olarak, “Matematik Okuryazarlığı Ölçeği” geliştirilmiştir. Açıklayıcı faktör analiz sonucunda ölçeğin tek bir faktörden meydana geldiği görülmüştür. Doğrulayıcı faktör analizine göre ölçeğin χ 2 /sd oranı 2.16 olarak bulunmuştur. Bu değer, ölçeğin mükemmel uyum sergilediğini göstermiştir. Ayrıca, öğrencilerin görsel matematik okuryazarlığı öz-yeterliklerini ölçmek amacıyla “Görsel Matematik Okuryazarlığı Özyeterlik Algısı Ölçeği” kullanılmıştır. Sonuçta, ortaokul öğrencilerinin matematik okuryazarlık ve görsel matematik okuryazarlık öz-yeterlik algı düzeylerinin yüksek olduğu belirlenmiştir. Ortaokul öğrencilerinin matematik okuryazarlıkları ile görsel matematik okuryazarlığı öz-yeterlik algıları arasında ise yüksek düzeyde pozitif yönlü bir ilişkinin olduğu ortaya konmuştur.

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Akbaba, A. & Erdoğan, H. (2014). Okul yöneticileri ve öğretmen görüşlerine göre okul ikliminin oluşması. Akademik Sosyal Araştırmalar Dergisi, 2 (5), 211-227.

Akyüz, G. & Pala, N. M. (2010). The effect of student and class characteristics on mathematics literacy and problem solving in PISA 2003. Elementary Education Online, 9 (2), 668-678.

Altun, M. (2008). İlköğretim ikinci kademe (6, 7 ve 8. sınıflarda) matematik öğretimi. Bursa: Aktüel Yayıncılık.

Ata, A. (2013). Investigation of prospective teachers’ conceptual and procedural knowledge levels in probability. Unpublished master’s thesis, Eskişehir Osmangazi University Institute of Educational Sciences, Eskişehir.

Atılgan, H., Kan, A., & Doğan, N. (2006). Eğitimde ölçme ve değerlendirme. Ankara: Anı Yayıncılık.

Avgerinou, M. D. (2003). A mad-tea party no-more: Revisiting the visual literacy definition problem. In R. E. Griffin, V. S. Williams, & L. Jung (Eds.), Turning trees (pp. 29-41). Loretto, PA: IVLA.

Aygüner, E. (2016). A comparison of eight grade students’ self-efficacy perception of visual mathematics literacy and their actual performance. Unpublished master’s thesis, Eskişehir Osmangazi University Institute of Educational Sciences, Eskişehir.

Balcı, A. (2009). Sosyal bilimlerde araştırma: Yöntem, teknik ve ilkeler. Ankara: Pegem Akademi.

Bekdemir, M. & Duran, M. (2012). Development of a visual math literacy self-efficacy perception scale (VMLSEPS) for elementary students. Ondokuz Mayıs University Journal of Faculty of Education, 31 (1), 89-115.

Bowden, S. C. (2004). The role of factor analysis in construct validity. Journal of International Neuropsychological Society, 10, 1018-1019.

Brown, T. A. (2006). Confirmatory factor analysis for applied research. NY: Guilford Publications, Inc.

Bryman, A. & Cramer, D. (2001). Quantitative data analysis with SPSS release 10 for windows: A guide for social scientists. London: Routledge Publishing.

Büyüköztürk, Ş. (2012). Sosyal bilimler için veri analizi el kitabı. Ankara: Pegem Akademi.

Büyüköztürk, Ş., Kılıç-Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2012). Bilimsel araştırma yöntemleri. Ankara: Pegem Akademi.

Çetin, S. & Gök, B. (2017). Modeling the factors affecting students’ mathematical literacy scores: The case of PISA 2012. Hacettepe University Journal of Education, 32 (4), 982-998. doi: 10.16986/HUJE.2016023162

Çokluk, Ö., Şekercioğlu, G., & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik SPSS ve LISREL uygulamaları. Ankara: Pegem Akademi.

Comrey, A. & Lee, H. (1992). A first course in factor analysis. Hillsdale, NJ: Erlbaum.

Dancey, C. P. & Reidy, J. (2004). Statistics without maths for psychology: Using SPSS for windows. London: Pearson Education Limited.

Deveci, Ö. & Aldan-Karademir, Ç. (2018). Middle school students’ math self report level and visual math literacy self efficacy perceptions. Journal of Education, Theory and Practical Research, 4 (3), 33-49.

Duran, M. (2013). Opinions of primary 7th grade students about visual mathematics literacy. Mehmet Akif Ersoy University Journal of the Institute of Educational Sciences, 2 (2), 38-51.

Duran, M. & Bekdemir, M. (2013). Evaluation of visual math literacy self efficacy perception with visual mathematics accomplishment. Pegem Journal of Education & Instruction, 3 (3), 27-40.

Edge, D. (2001). New literacy’s in mathematics: Implications for teacher education. Retrieved January 17, 2018, from https://www.aare.edu.au/data/publications/2001/edg01125.pdf

Ersoy, Y. (2003). Matematik okuryazarlığı-II: Hedefler, geliştirilecek yetiler ve beceriler. Retrieved January 16, 2018, from http://www.matder.org.tr/index.php?option=com_content&view=article&id=65: matematik%20okur-yazarligi-iihedefler-gelistirilecek-yetiler-ve-beceriler-&catid=8:matematikkosesi%20makaleleri&Itemid=172

Ev-Çimen, E. & Aygüner, E. (2018). An analysis of eight grade students’ self-efficacy perception of visual mathematics literacy and their actual performance. Elementary Education Online, 17 (2), 675-696.

Günay, V. D. (2008). Visual literacy and image nomenclature. Süleyman Demirel University Journal of Fine Arts, 1, 1-29.

Gürbüz, R. (2007). Students’ and their teachers’ opinions about the instruction based on the materials on probability subject. Kastamonu Education Journal, 15 (1), 259-270.

İpek, İ. (2003). Bilgisayarlar, görsel tasarım ve görsel öğrenme stratejileri. The Turkish Online Journal of Educational Technology, 2 (3), 68-76.

Kline, P. (1994). An easy guide for factor analysis. NY. Routledge.

Kline, R. B. (2005). Principles and practice of structural equation modeling. NY: Guilford Publications, Inc.

Koğar, H. (2015). Examination of factors affecting PISA 2012 mathematical literacy through mediation model. Education and Science, 40 (179), 45-55. doi: 10.15390/EB.2015.4445

Korkmaz, T. (2016). Effects of mathematical applications course on the students' mathematical literacy. Unpublished master’s thesis, Eskişehir Osmangazi University Institute of Educational Sciences, Eskişehir.

Kükey, E. (2013). The effects of the mathematics literacy level of the secondary school 8th grade students to mathematics achievement. Unpublished master’s thesis, Fırat University Institute of Educational Sciences, Elazığ.

Kurtoğlu-Çolak, S. (2006). An experimental study on the effect of material usage on sixth grade students’ mathematical literacy about geometry concepts. Unpublished master’s thesis, Gazi University Institute of Educational Sciences, Ankara.

Leech, N. L., Barrett, K. C., & Morgan, G. A. (2005). SPSS for intermediate statistics: Use and interpretation. NJ: Lawrence Erlbaum Associates, Inc.

Long, C., Bansilal, S., & Debba, R. (2014). An investigation of mathematical literacy assessment supported by an application of Rasch measurement. Pythagoras, 35 (1), 1-17.

Lutzer, C. V. (2005). Fostering mathematical literacy. Primus, 15 (1), 1-6.

McCrone, S. S. & Dossey, J. A. (2007). Mathematical literacy-it’s become fundamental. Principal Leadership, 7 (5), 32-37.

Nasibov, F. & Kaçar, A. (2005). On the mathematics and mathematics education. Kastamonu Educational Journal, 13 (2), 339-346.

OECD (2013). PISA 2012 Assessment and analytical framework: Mathematics, reading, science, problem solving and financial literacy. OECD Publishing.

Ojose, B. (2011). Mathematics literacy: Are we able to put the mathematics we learn into everyday use? Journal of Mathematics Education, 4 (1), 89-100.

Özdemir, F., Duran, M., & Kaplan, A. (2016) Investigation of middle school students’ self-efficacy perceptions of visual mathematics literacy and perceptions of problem-solving skill. Journal of Theoretical Educational Science, 9 (4), 532-554.

Özgen, K. & Bindak, R. (2008). The development of self-efficacy scale for mathematics literacy. Kastamonu Educational Journal, 16 (2), 517-528.

Özgen, K. & Bindak, R. (2011). Lise öğrencilerinin matematik okuryazarlığına yönelik öz-yeterlik inançlarının belirlenmesi. Kuram ve Uygulamada Eğitim Bilimleri, 11 (2), 1073-1089.

Pajares, F. & Graham, L. (1999). Self-efficacy, motivation constructs, and mathematics performance of entering middle school students. Contemporary Educational Psychology, 24, 124-139.

Parsa, A. F. (2004). İmgenin gücü görsel kültürün yükselişi. Retrieved February 25, 2018, from https://www.researchgate.net/profile/Alev_Parsa/publication/308785296_Imgenin_Gucu_ve_Gorse l_Kulturun_Yukselisi/links/57f0ece208ae8da3ce4e7894/Imgenin-Guecue-ve-Goersel-KueltueruenYuekselisi.pdf?origin=publication_detail

Pugalee, D. K. (1999) Constructing a model of mathematical literacy. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 73 (1), 19-22.

Reio, T. G. & Wiswell, A. K. (2006). An examination of the factor structure and construct validity of the GREGORC style delineator. Educational and Psychological Measurement, 66 (3), 489-501.

Rosenthal, R. & Rosnow, R. L. (2008). Essential of behavioral research. NY: McGraw-Hill, Inc.

Satıcı, K. (2008). Investigating the factors affecting mathematics literacy using PISA 2003 results: Turkey and Hong Kong–China. Unpublished master’s thesis, Balıkesir University Institute of Science Education, Balıkesir.

Stacey, K. (2011). The PISA view of mathematical literacy in Indonesia. Journal on Mathematics Education, 2 (2), 95-126.

Sümer, N. (2000). Structural education models. Turkish Psychological Articles, 3 (6), 49-74.

Şencan, H. (2005). Sosyal ve davranışsal ölçümlerde güvenilirlik ve geçerlik. Ankara: Seçkin Yayıncılık.

Şengül, A., Katrancı, Y., & Gülbağcı, H. (2012). Investigation of visual mathematics literacy self-efficacy perceptions of elementary school students. Paper presented at the 21st National Educational Sciences Congress, Marmara University, İstanbul.

Tabachnick, B. G. & Fidell, L. S. (2001). Using multivariate statistics. Boston: Allyn & Bacon. TDK (2018). Mathematics. Retrieved January 16, 2018, from http://www.tdk.gov.tr/index.php?option=com_gts&arama=gts&guid=TDK.GTS.5a5e699dbb6d39.15 905156

Thompson, B. (2004). Exploratory and confirmatory factor analysis: Understanding concepts and applications. Washington: American Psychological Association.

Tutkun, Ö. E., Gür-Erdoğan, D. G., & Öztürk, B. (2014). Levels of visual mathematics literacy self-efficacy perception of the secondary school students. Middle Eastern & African Journal of Educational Research, 8, 19-27.

Umay, A. (2002). Other mathematics. Hacettepe University Journal of Education, 23, 275-281.

Urbina, S. (2004). Essentials of psychological testing. NJ: Wiley & Sons.

Usta, H. G. (2014). An international comparison PISA 2003 and 2012 according to mathematical literacy Turkey and Finland. Unpublished doctorate dissertation, Ankara University Institute of Educational Sciences, Ankara.

Uysal, E. & Yenilmez, K. (2011). The mathematics literacy level of eighth grade students. Eskişehir Osmangazi University Journal of Social Sciences, 12 (2), 1-15.

Veneziano, L. & Hooper, J. (1997). A method for quantifying content validity of health-related questionnaires. American Journal of Health Behavior, 21 (1), 67-70.

Wileman, R. E. (1993). Visual communicating. N. J.: Educational Technology Publications.

Yaşar, M. (2014). İstatistiğe yönelik tutum ölçeği: Geçerlik ve güvenirlik çalışması. Pamukkale Üniversitesi Eğitim Fakültesi Dergisi, 36 (II), 59-75.

Yeh, H-T. (2008). Visual Literacy: An investigation of how pre-service teachers interpret and analyze instructional visual materials. Unpublished doctorate dissertation, University of Northern Colorado, USA.

Yılmazer, G. (2015). The examination of the relationship between secondary students' arithmetic performance scores and their mathematics literacy in accordance with certain variables. Unpublished master’s thesis, Sakarya University Institute of Educational Sciences, Sakarya.