Araştırma Makalesi
BibTex RIS Kaynak Göster

Effects of a Game-Based app on Primary Students’ Self Efficacy and Achievements in Learning Fractions During Distance Education

Yıl 2021, Cilt: 11 Sayı: 63, 505 - 520, 31.12.2021
https://doi.org/10.17066/tpdrd.1051383

Öz

Fractions have great importance for primary students in mathematics education and are one of the most problematic concepts they encounter in their school life. This research study aimed to examine the effectiveness of a game-based app (Slice Fractions) to help students to develop their academic performance and self-efficacy in fraction skills during distance education. A total of 142 fourth grade students from eight different classes participated to the study. A quasi-experimental method was used to assess the impact of the Slice Fractions game on student learning and self-efficacy of the concept of fractions in the fourth-grade math course. The self-efficacy scale and the diagnose test for fractions were applied to the fourth-grade students. The results showed that the students in the game group had significantly better learning performance in fractions than students in the non-game group. Similarly, the students in the game group had significantly better self-efficacy in fractions than students in the non-game group.

Kaynakça

  • Aksu, Z. & Konyalıoğlu, A.C. (2015). Sınıf öğretmen adaylarının kesirler konusundaki pedagojik alan bilgileri [Pre-Service Primary School Teachers’ Pedagogical Content Knowledge In Fractions]. Kastamonu Education Journal. 23(2), 723-738. https://dergipark.org.tr/tr/pub/kefdergi/issue/22599/241424
  • Alacaci, C. (2015). Öğrencilerin kesirler konusundaki kavram yanılgıları [Students’misconceptions about fractions]. In E. Bingölbali, & M. F. Özmantar (Eds.), İlköğretimde karşılaşılan matematiksel zorluklar ve çözüm öneriler [Mathematical difficulties encountered in primary education and Suggestions]. Ankara: PegemA.
  • Annetta, L. A. (2010). The “I’s” have it: A framework for serious educational game design. Review of General Psychology, 14(2), 105-112. https://doi.org/10.1037/a0018985
  • Bailey, D. H., Hoard, M. K., Nugent, L., & Geary, D. C. (2012). Competence with fractions predicts gains in mathematics achievement. Journal of Experimental Child Psychology, 113(3), 447–455. https://doi.org/10.1016/j.jecp.2012.06.004.
  • Bandura, A. (1982). Self-efficacy mechanism in human agency. American Psychologist, 37(2), 122-147. https://doi.org/10.1037/0003-066X.37.2.122
  • Bandura, A. (1997). Self-efficacy: The exercise of control. New York: W.H. Freeman.
  • Berch, D. B., & Mazzocco, M. M. (2007). Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities. Brookes Publishing Company.
  • Bonne, L., & Johnston, M. (2016). Students’ beliefs about themselves as mathematics learners. Thinking Skills and Creativity, 20, 17-28. https://doi.org/10.1016/j.tsc.2016.02.001
  • Brousseau, G., Brousseau, N., & Warfield, V. (2004). Rationals and decimals as required in the school curriculum. Part 1: rationals as measurements. The Journal of Mathematical Behavior, 23(1), 1–20. https://doi.org/10.1016/j.jmathb.2003.12.001
  • Bruce, C. D., & Ross, J. (2009). Conditions for effective use of interactive online learning objects: The case of a fractions computer-based learning sequence. Electronic Journal of Mathematics and Technology, 3(1). https://php.radford.edu/~ejmt/deliverAbstract.php?paperID=eJMT_v3n1p2
  • Bulgar, S. (2003). Children’s sense – making of division of fractions. The Journal of Mathematical Behavior, 20(3), 319- 334. https://doi.org/10.1016/S0732-3123(03)00024-5
  • Büyüköztürk, Ş., Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2008). Bilimsel Araştırma Yöntemleri [Scientific Research Methods]. Ankara: Pegem A Yayıncılık.
  • Cajori, F. (1999). A History of Mathematics. New York. The Macmillan Company.
  • Carr, J. (2012). Does math achievement h’APP’en when iPads and game-based learning are incorporated into fifth-grade mathematics instruction? Journal of Information Technology Education: Research, 11(1), 269-286. http://www.jite.org/documents/Vol11/JITEv11p269-286Carr1181.pdf
  • Charalambous C. Y., & Pitta-Pantazi, D. P. (2005). Revisiting a theoretical model on fractions: Implications for teaching and research. In Chick, H.L. and Vincent, J. L. (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol 2), pp. 233 – 240.
  • Cohen, L., & Manion, L. (1994). Research Methods in Education (4th ed.). London: Routledge
  • Cramer, K., & Whitney, S. (2010). Learning rational number concepts and skills in elementary school classrooms. In D. V. Lambdin & F. K. Lester, Jr. (Eds.), Teaching and learning mathe¬matics: Translating research for elementary school teachers (pp. 15–22). Reston, VA: NCTM.
  • Cramer, K., Wyberg, T., & Leavitt, S. (2008). The role of representations in fraction addition and subtraction. Mathematics Teaching in The Middle School, 13(8), 490-496. https://doi.org/10.5951/MTMS.13.8.0490
  • Cyr, S., Charland, P., Riopel, M., & Bruyère, M.H. (2019). Integrating a game design model in a serious video game for learning fractions in mathematics. Journal of Computers in Mathematics and Science Teaching, 38(1), 5-29. Waynesville, NC USA: Association for the Advancement of Computing in Education (AACE). https://www.learntechlib.org/primary/p/183506/
  • Cyr, S., Charland, P., Riopel, M., & Bruyère, M.-H. (2019). Integrating a game design model in a serious video game for learning fractions in mathematics. Journal of Computers in Mathematics and Science Teaching, 38(1), 5–29. https://www.learntechlib.org/primary/p/183506/
  • DeWolf, M., Bassok, M., & Holyoak, K. J. (2015). Conceptual structure and the procedural affordances of rational numbers: Relational reasoning with fractions and decimals. Journal of Experimental Psychology: General, 144(1), 127–150. https://doi.org/10.1037/xge0000034
  • Dickson, L., Brown, M., & Gibson, O. (1993). Children learning mathematics: A teachers guide to recent research. London: Schools Council Publications.
  • Eroğlu, D., Camcı, F., & Tanışlı, D. (2019). Hypothetical learning trajectory to the development of sixth grade students’ knowledge about fractions and addition-subtraction in fractions. PAU Journal of Education, 45, 116-143. https://doi.org/10.9779/PUJE.2018.225
  • Fabian, K., Topping, K. J., & Barron, I. G. (2016). Mobile technology and mathematics: Effects on students’ attitudes, engagement, and achievement. Journal of Computers in Education, 3(1), 77–104. https://doi.org/10.1007/s40692-015-0048-8
  • Gabriel, F. C., Coché, F., Szucs, D., Carette, V., Rey, B., & Content, A. (2013). A componential view of children’s difficulties in learning fractions. Frontiers in psychology, 4, 715. https://doi.org/10.3389/fpsyg.2013.00715
  • Haser, Ç., & Ubuz, B. (2003). Student’s conception of fractions: a study of 5th grade students. Hacettepe University Journal of Faculty of Education, 24(24), 64-69. http://efdergi.hacettepe.edu.tr/yonetim/icerik/makaleler/909-published.pdf
  • Hecht, S. A., & Vagi, K. J. (2012). Patterns of strengths and weaknesses in children’s knowledge about fractions. Journal of Experimental Child Psychology, 111(2), 212-222. https://doi.org/10.1016/j.jecp.2011.08.012
  • Hecht, S. A., Vagi, K. J., & Torgesen, J. K. (2007). Fraction skills and proportional reasoning. In D. B. Berch & M. M. M. Mazzocco (Eds.), Why is mathematics so hard for some children? The nature and origins of mathematics learning difficulties and disabilities (pp.121–132). Baltimore, MD: Paul H. Brookes.
  • Hung, C. M., Huang, I., & Hwang G. J. (2014). Effects of digital game-based learning on students’ selfefficacy, motivation, anxiety, and achievements in learning mathematics. Journal of Computers in Education, 1(2–3), 151–166. https://doi.org/10.1007/s40692-014-0008-8
  • İpek, A.S., Işık, C., & Albayrak, M. (2005). Conceptual performance of prospective primary teachers on operations with fractions. Kazım Karabekir Eğitim Fakültesi Dergisi, 1, 537-547. https://dergipark.org.tr/tr/download/article-file/31446
  • Jones, J. C. (2012). Visualizing elementary and middle school mathematics methods. USA: John Wiley & Sons.
  • Kauchak, D., P. ve Eggen, P., D. (1998). Learning and teaching. Third Edition. Boston: Allyn and Bacon.
  • Kerslake, D. (1986). Fractions: Children’s strategies and errors. A report of the strategies and errors in secondary mathematics project. Windsor, Berkshire, England: NFER – NELS.
  • Lamon, S. J. (2012). Teaching fractions and ratios for understanding: Essential knowledge and instructional strategies for teachers. New York: Routledge/Taylor & Francis Group.
  • Lee, Y. L. (2010). Enhancement of Fractions from Playing a Game. New Zealand mathematics magazine, 47(1), 30-40. www.merga.net.au/documents/Lee_RP09.pdf.
  • Leung I. K. C., & Carbone R. E. (2013). Pre-service teachers’ knowledge about fraction division reflected through problem posing. The Mathematics Educator, 14(1-2), 80-92. https://repository.eduhk.hk/en/publications/pre-service-teachers-knowledge-about-fraction-divisions-reflected-5
  • Long, C. T., DeTemple, D. W., & Millman, R. S. (2015). Mathematical reasoning for elementary teachers (7th. Edition). UK: Pearson Education Limited.
  • Lortie – Forgues, H., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arith¬metic so difficult?. Developmental Review, 38, 201–221. https://doi.org/10.1016/j.dr.2015.07.008
  • Masek, M., Boston, J., Lam, C., & Corcoran, S. (2017). Improving mastery of fractions by blending video games into the math classroom. Journal of Computer Assisted Learning, 33(5), 486–499. https://doi.org/10.1111/jcal.12194.
  • Milli Eğitim Bakanlığı [MEB]. (2018). Matematik Dersi Öğretim Programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Turkish 1-8 grade mathematics curriculum]. http://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=329.
  • Moyer-Packenham, P. S., & Bolyard, J. J. (2016). Revisiting the definition of a virtual manipulative. In P. S. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives (pp. 3–23). Springer.
  • Musti-Rao, S., & Plati, E. (2015). Comparing two classwide interventions: Implications of using technology for increasing multiplication fact fluency. Journal of Behavioral Education, 24 (4), 418-437. https://doi.org/10.1007/s10864-015-9228-x
  • Naiser, E. A., Wright, W. E., & Capraro, R. M. (2003). Teaching fractions: Strategies used for teaching fractions to middle grade students. Journal of Research in Childhood Education, 18(3), 193-198. https://doi.org/10.1080/02568540409595034
  • Nazry, N., Nazrina, M., & Romano, D. M. (2017). Mood and learning in navigation based serious games. Computers in Human Behavior, 73, 596–604. https://doi.org/10.1016/j.chb.2017.03.040
  • Ni, Y., & Zhou, Y. D. (2005). Teaching and learning fraction and rational numbers: the origins and implications of whole number bias. Educional Psychologist, 40(1), 27–52. https://doi.org/10.1207/s15326985ep4001_3
  • Olkun, S., & Toluk Uçar, Z. (2014). İlköğretimde etkinlik temelli matematik öğretimi [Activity-based mathematics teaching in primary education] (6. Ed.). Ankara: Eğiten Kitap Yayınları.
  • Pesen, C. (2007). Students’ misconceptions about fractions. Education and Science, 32(143), 79-88. http://egitimvebilim.ted.org.tr/index.php/EB/article/view/833/186
  • Peters, M. L. (2013). Examining the relationships among classroom climate, self-efficacy, and achievement in undergraduate mathematics: A multi-level analysis. International Journal of Science and Mathematics Education, 11(2), 459–480. https://doi.org/10.1007/s10763-012-9347-y
  • Reychav, I., & Wu, D. (2014). Exploring mobile tablet training for road safety: A uses and gratifications perspective. Computers & Education, 71, 43–55. https://www.learntechlib.org/p/200573/
  • Riconscente, M. (2011). Mobile learning game improves 5th graders’ fractions knowledge and attitudes. Los Angeles, CA: GameDesk Institute.
  • Riconscente, M. M. (2013). Results from a controlled study of the iPad fractions game Motion Math. Games and Culture, 8(4), 186-214. https://doi.org/10.1177/1555412013496894
  • Siegler, R. P., Carpenter T., Fennell F., Geary D., Lewis J., Okamoto Y., Thompson L., & Wray J. (2010). Developing effective fractions instruction for kindergarten through 8th grade (NCEE 2010-4039). Washington, DC: U.S. Department of Education, Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance.
  • Siegler, R. S., Fazio, L. K., Bailey, D. H., & Zhou, X. (2013). Fractions: the new frontier for theories of numerical development. Trends in cognitive sciences, 17(1), 13-19. https://doi.org/10.1016/j.tics.2012.11.004
  • Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273 – 296. https://doi.org/10.1016/j.cogpsych.2011.03.001
  • Simsek, O. (2016). Use of a game-based app as a learning tool for students with mathematics learning disabilities to increase fraction knowledge/skill [Unpublished Doctoral dissertation]. University of South Florida.
  • Sowder, J. T. (1995). Instructing for rational number sense. In J. T. Sowder & B. P. Schappelle (Eds.), Providing a foundation for teaching mathematics in the middle grades (pp. 15-30). Albany, NY: State University of New York Press.
  • Soylu Y., & Soylu, C. (2005). Learning difficulties of 5th class in primary education at fractions: Ordering, adding, subtraction, multiplication in fraction and problems related to fraction. Erzincan University Journal of Education Faculty, 7(2), 101-117. https://dergipark.org.tr/tr/pub/erziefd/issue/6005/80075
  • Suh, J. M., & Moyer-Packenham, P. S. (2008). Suh, J. M., & Moyer-Packenham, P. S. (2008, July). Scaffolding special needs students’ learning of fraction equivalence using virtual manipulatives. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepulveda (Eds.), Proceedings of the 32nd annual conference of the International Group for the Psychology of Mathematics Education (PME) (Vol. 4, pp. 297-304), Morelia, Mexico
  • Uz, İ. (2018). Investigation of 5th grade of middle school students’ self-efficacy toward fractions [Unpublished Master Thesis]. Dokuz Eylül University.
  • Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and middle school mathematics: Teaching developmentally (8th ed.). Upper Saddle River, NJ: Pearson.
  • Van Hoof, J., Degrande, T., Ceulemans, E., Verschaffel, L., & Van Dooren, W. (2018). Towards a mathematically more correct understanding of rational numbers: A longitudinal study with upper elementary school learners. Learning and Individual Differences, 61, 99–108. https://doi.org/10.1016/j.lindif.2017.11.010.
  • Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014). What’s past is prologue relations between early mathematics knowledge and high school achievement. Educational Researcher, 43(7), 352-360. https://doi.org/10.3102/0013189X14553660
  • Wouters, P., Van Nimwegen, C., Van Oostendorp, H., & Van Der Spek, E. D. (2013). A meta-analysis of the cognitive and motivational effects of serious games. Journal of Educational Psychology, 105(2), 249–265. https://doi.org/10.1037/a0031311
  • Yu, Z. (2019). A meta-analysis of use of serious games in education over decade. International Journal of Computer Games Technology, 1, 1–8. https://doi.org/10.1155/2019/4797032
  • Zhang, M., Trussell, R. P., Gallegos, B., & Asam, R. R. (2015). Using math apps for improving student learning: An exploratory study in an inclusive fourth grade classroom. Techtrends: Linking Research And Practice To Improve Learning, 59(2), 32-39. https://doi.org/10.1007/s11528-015-0837-y

Uzaktan Eğitim Sürecinde Oyun Tabanlı Bir Uygulamanın İlkokul Öğrencilerinin Kesirleri Öğrenmede Öz-yeterlik ve Başarılarına Olan Etkisi

Yıl 2021, Cilt: 11 Sayı: 63, 505 - 520, 31.12.2021
https://doi.org/10.17066/tpdrd.1051383

Öz

Matematik eğitiminde büyük önem taşıyan kesirler konusu ilköğretim öğrencilerinin okul hayatlarında karşılaştıkları en problemli kavramlardan birisidir. Bu çalışmanın amacı, uzaktan eğitim sırasında oyun tabanlı bir uygulamanın (Slice Fractions) öğrencilerin kesirler konusundaki akademik performanslarını ve öz yeterliklerini ne denli geliştirmelerine olanak sağladığını incelemektir. Araştırmaya sekiz farklı sınıftan toplam 142 dördüncü sınıf öğrencisi katılmıştır. Çalışmada yarı deneysel araştırma yöntemi kullanılarak Slice Fractions oyununun öğrencilerin kesirler kavramını öğrenmesinde ve öz-yeterlik konusunda etkisi araştırılmıştır. Araştırmaya katılan öğrencilere kesirler öz-yeterlik ölçeği ve kesirler başarı testi uygulanmıştır. Yapılan analizler sonucunda, oyun grubundaki öğrencilerin, oyun oynamayan gruptaki öğrencilere göre kesirlerde önemli ölçüde daha iyi öğrenme performansına ve daha iyi öz-yeterliğe sahip oldukları sonucuna varılmıştır.

Kaynakça

  • Aksu, Z. & Konyalıoğlu, A.C. (2015). Sınıf öğretmen adaylarının kesirler konusundaki pedagojik alan bilgileri [Pre-Service Primary School Teachers’ Pedagogical Content Knowledge In Fractions]. Kastamonu Education Journal. 23(2), 723-738. https://dergipark.org.tr/tr/pub/kefdergi/issue/22599/241424
  • Alacaci, C. (2015). Öğrencilerin kesirler konusundaki kavram yanılgıları [Students’misconceptions about fractions]. In E. Bingölbali, & M. F. Özmantar (Eds.), İlköğretimde karşılaşılan matematiksel zorluklar ve çözüm öneriler [Mathematical difficulties encountered in primary education and Suggestions]. Ankara: PegemA.
  • Annetta, L. A. (2010). The “I’s” have it: A framework for serious educational game design. Review of General Psychology, 14(2), 105-112. https://doi.org/10.1037/a0018985
  • Bailey, D. H., Hoard, M. K., Nugent, L., & Geary, D. C. (2012). Competence with fractions predicts gains in mathematics achievement. Journal of Experimental Child Psychology, 113(3), 447–455. https://doi.org/10.1016/j.jecp.2012.06.004.
  • Bandura, A. (1982). Self-efficacy mechanism in human agency. American Psychologist, 37(2), 122-147. https://doi.org/10.1037/0003-066X.37.2.122
  • Bandura, A. (1997). Self-efficacy: The exercise of control. New York: W.H. Freeman.
  • Berch, D. B., & Mazzocco, M. M. (2007). Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities. Brookes Publishing Company.
  • Bonne, L., & Johnston, M. (2016). Students’ beliefs about themselves as mathematics learners. Thinking Skills and Creativity, 20, 17-28. https://doi.org/10.1016/j.tsc.2016.02.001
  • Brousseau, G., Brousseau, N., & Warfield, V. (2004). Rationals and decimals as required in the school curriculum. Part 1: rationals as measurements. The Journal of Mathematical Behavior, 23(1), 1–20. https://doi.org/10.1016/j.jmathb.2003.12.001
  • Bruce, C. D., & Ross, J. (2009). Conditions for effective use of interactive online learning objects: The case of a fractions computer-based learning sequence. Electronic Journal of Mathematics and Technology, 3(1). https://php.radford.edu/~ejmt/deliverAbstract.php?paperID=eJMT_v3n1p2
  • Bulgar, S. (2003). Children’s sense – making of division of fractions. The Journal of Mathematical Behavior, 20(3), 319- 334. https://doi.org/10.1016/S0732-3123(03)00024-5
  • Büyüköztürk, Ş., Çakmak, E., Akgün, Ö. E., Karadeniz, Ş., & Demirel, F. (2008). Bilimsel Araştırma Yöntemleri [Scientific Research Methods]. Ankara: Pegem A Yayıncılık.
  • Cajori, F. (1999). A History of Mathematics. New York. The Macmillan Company.
  • Carr, J. (2012). Does math achievement h’APP’en when iPads and game-based learning are incorporated into fifth-grade mathematics instruction? Journal of Information Technology Education: Research, 11(1), 269-286. http://www.jite.org/documents/Vol11/JITEv11p269-286Carr1181.pdf
  • Charalambous C. Y., & Pitta-Pantazi, D. P. (2005). Revisiting a theoretical model on fractions: Implications for teaching and research. In Chick, H.L. and Vincent, J. L. (Eds.), Proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education (Vol 2), pp. 233 – 240.
  • Cohen, L., & Manion, L. (1994). Research Methods in Education (4th ed.). London: Routledge
  • Cramer, K., & Whitney, S. (2010). Learning rational number concepts and skills in elementary school classrooms. In D. V. Lambdin & F. K. Lester, Jr. (Eds.), Teaching and learning mathe¬matics: Translating research for elementary school teachers (pp. 15–22). Reston, VA: NCTM.
  • Cramer, K., Wyberg, T., & Leavitt, S. (2008). The role of representations in fraction addition and subtraction. Mathematics Teaching in The Middle School, 13(8), 490-496. https://doi.org/10.5951/MTMS.13.8.0490
  • Cyr, S., Charland, P., Riopel, M., & Bruyère, M.H. (2019). Integrating a game design model in a serious video game for learning fractions in mathematics. Journal of Computers in Mathematics and Science Teaching, 38(1), 5-29. Waynesville, NC USA: Association for the Advancement of Computing in Education (AACE). https://www.learntechlib.org/primary/p/183506/
  • Cyr, S., Charland, P., Riopel, M., & Bruyère, M.-H. (2019). Integrating a game design model in a serious video game for learning fractions in mathematics. Journal of Computers in Mathematics and Science Teaching, 38(1), 5–29. https://www.learntechlib.org/primary/p/183506/
  • DeWolf, M., Bassok, M., & Holyoak, K. J. (2015). Conceptual structure and the procedural affordances of rational numbers: Relational reasoning with fractions and decimals. Journal of Experimental Psychology: General, 144(1), 127–150. https://doi.org/10.1037/xge0000034
  • Dickson, L., Brown, M., & Gibson, O. (1993). Children learning mathematics: A teachers guide to recent research. London: Schools Council Publications.
  • Eroğlu, D., Camcı, F., & Tanışlı, D. (2019). Hypothetical learning trajectory to the development of sixth grade students’ knowledge about fractions and addition-subtraction in fractions. PAU Journal of Education, 45, 116-143. https://doi.org/10.9779/PUJE.2018.225
  • Fabian, K., Topping, K. J., & Barron, I. G. (2016). Mobile technology and mathematics: Effects on students’ attitudes, engagement, and achievement. Journal of Computers in Education, 3(1), 77–104. https://doi.org/10.1007/s40692-015-0048-8
  • Gabriel, F. C., Coché, F., Szucs, D., Carette, V., Rey, B., & Content, A. (2013). A componential view of children’s difficulties in learning fractions. Frontiers in psychology, 4, 715. https://doi.org/10.3389/fpsyg.2013.00715
  • Haser, Ç., & Ubuz, B. (2003). Student’s conception of fractions: a study of 5th grade students. Hacettepe University Journal of Faculty of Education, 24(24), 64-69. http://efdergi.hacettepe.edu.tr/yonetim/icerik/makaleler/909-published.pdf
  • Hecht, S. A., & Vagi, K. J. (2012). Patterns of strengths and weaknesses in children’s knowledge about fractions. Journal of Experimental Child Psychology, 111(2), 212-222. https://doi.org/10.1016/j.jecp.2011.08.012
  • Hecht, S. A., Vagi, K. J., & Torgesen, J. K. (2007). Fraction skills and proportional reasoning. In D. B. Berch & M. M. M. Mazzocco (Eds.), Why is mathematics so hard for some children? The nature and origins of mathematics learning difficulties and disabilities (pp.121–132). Baltimore, MD: Paul H. Brookes.
  • Hung, C. M., Huang, I., & Hwang G. J. (2014). Effects of digital game-based learning on students’ selfefficacy, motivation, anxiety, and achievements in learning mathematics. Journal of Computers in Education, 1(2–3), 151–166. https://doi.org/10.1007/s40692-014-0008-8
  • İpek, A.S., Işık, C., & Albayrak, M. (2005). Conceptual performance of prospective primary teachers on operations with fractions. Kazım Karabekir Eğitim Fakültesi Dergisi, 1, 537-547. https://dergipark.org.tr/tr/download/article-file/31446
  • Jones, J. C. (2012). Visualizing elementary and middle school mathematics methods. USA: John Wiley & Sons.
  • Kauchak, D., P. ve Eggen, P., D. (1998). Learning and teaching. Third Edition. Boston: Allyn and Bacon.
  • Kerslake, D. (1986). Fractions: Children’s strategies and errors. A report of the strategies and errors in secondary mathematics project. Windsor, Berkshire, England: NFER – NELS.
  • Lamon, S. J. (2012). Teaching fractions and ratios for understanding: Essential knowledge and instructional strategies for teachers. New York: Routledge/Taylor & Francis Group.
  • Lee, Y. L. (2010). Enhancement of Fractions from Playing a Game. New Zealand mathematics magazine, 47(1), 30-40. www.merga.net.au/documents/Lee_RP09.pdf.
  • Leung I. K. C., & Carbone R. E. (2013). Pre-service teachers’ knowledge about fraction division reflected through problem posing. The Mathematics Educator, 14(1-2), 80-92. https://repository.eduhk.hk/en/publications/pre-service-teachers-knowledge-about-fraction-divisions-reflected-5
  • Long, C. T., DeTemple, D. W., & Millman, R. S. (2015). Mathematical reasoning for elementary teachers (7th. Edition). UK: Pearson Education Limited.
  • Lortie – Forgues, H., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arith¬metic so difficult?. Developmental Review, 38, 201–221. https://doi.org/10.1016/j.dr.2015.07.008
  • Masek, M., Boston, J., Lam, C., & Corcoran, S. (2017). Improving mastery of fractions by blending video games into the math classroom. Journal of Computer Assisted Learning, 33(5), 486–499. https://doi.org/10.1111/jcal.12194.
  • Milli Eğitim Bakanlığı [MEB]. (2018). Matematik Dersi Öğretim Programı (İlkokul ve ortaokul 1, 2, 3, 4, 5, 6, 7 ve 8. sınıflar) [Turkish 1-8 grade mathematics curriculum]. http://mufredat.meb.gov.tr/ProgramDetay.aspx?PID=329.
  • Moyer-Packenham, P. S., & Bolyard, J. J. (2016). Revisiting the definition of a virtual manipulative. In P. S. Moyer-Packenham (Ed.), International perspectives on teaching and learning mathematics with virtual manipulatives (pp. 3–23). Springer.
  • Musti-Rao, S., & Plati, E. (2015). Comparing two classwide interventions: Implications of using technology for increasing multiplication fact fluency. Journal of Behavioral Education, 24 (4), 418-437. https://doi.org/10.1007/s10864-015-9228-x
  • Naiser, E. A., Wright, W. E., & Capraro, R. M. (2003). Teaching fractions: Strategies used for teaching fractions to middle grade students. Journal of Research in Childhood Education, 18(3), 193-198. https://doi.org/10.1080/02568540409595034
  • Nazry, N., Nazrina, M., & Romano, D. M. (2017). Mood and learning in navigation based serious games. Computers in Human Behavior, 73, 596–604. https://doi.org/10.1016/j.chb.2017.03.040
  • Ni, Y., & Zhou, Y. D. (2005). Teaching and learning fraction and rational numbers: the origins and implications of whole number bias. Educional Psychologist, 40(1), 27–52. https://doi.org/10.1207/s15326985ep4001_3
  • Olkun, S., & Toluk Uçar, Z. (2014). İlköğretimde etkinlik temelli matematik öğretimi [Activity-based mathematics teaching in primary education] (6. Ed.). Ankara: Eğiten Kitap Yayınları.
  • Pesen, C. (2007). Students’ misconceptions about fractions. Education and Science, 32(143), 79-88. http://egitimvebilim.ted.org.tr/index.php/EB/article/view/833/186
  • Peters, M. L. (2013). Examining the relationships among classroom climate, self-efficacy, and achievement in undergraduate mathematics: A multi-level analysis. International Journal of Science and Mathematics Education, 11(2), 459–480. https://doi.org/10.1007/s10763-012-9347-y
  • Reychav, I., & Wu, D. (2014). Exploring mobile tablet training for road safety: A uses and gratifications perspective. Computers & Education, 71, 43–55. https://www.learntechlib.org/p/200573/
  • Riconscente, M. (2011). Mobile learning game improves 5th graders’ fractions knowledge and attitudes. Los Angeles, CA: GameDesk Institute.
  • Riconscente, M. M. (2013). Results from a controlled study of the iPad fractions game Motion Math. Games and Culture, 8(4), 186-214. https://doi.org/10.1177/1555412013496894
  • Siegler, R. P., Carpenter T., Fennell F., Geary D., Lewis J., Okamoto Y., Thompson L., & Wray J. (2010). Developing effective fractions instruction for kindergarten through 8th grade (NCEE 2010-4039). Washington, DC: U.S. Department of Education, Institute of Education Sciences, National Center for Education Evaluation and Regional Assistance.
  • Siegler, R. S., Fazio, L. K., Bailey, D. H., & Zhou, X. (2013). Fractions: the new frontier for theories of numerical development. Trends in cognitive sciences, 17(1), 13-19. https://doi.org/10.1016/j.tics.2012.11.004
  • Siegler, R. S., Thompson, C. A., & Schneider, M. (2011). An integrated theory of whole number and fractions development. Cognitive Psychology, 62(4), 273 – 296. https://doi.org/10.1016/j.cogpsych.2011.03.001
  • Simsek, O. (2016). Use of a game-based app as a learning tool for students with mathematics learning disabilities to increase fraction knowledge/skill [Unpublished Doctoral dissertation]. University of South Florida.
  • Sowder, J. T. (1995). Instructing for rational number sense. In J. T. Sowder & B. P. Schappelle (Eds.), Providing a foundation for teaching mathematics in the middle grades (pp. 15-30). Albany, NY: State University of New York Press.
  • Soylu Y., & Soylu, C. (2005). Learning difficulties of 5th class in primary education at fractions: Ordering, adding, subtraction, multiplication in fraction and problems related to fraction. Erzincan University Journal of Education Faculty, 7(2), 101-117. https://dergipark.org.tr/tr/pub/erziefd/issue/6005/80075
  • Suh, J. M., & Moyer-Packenham, P. S. (2008). Suh, J. M., & Moyer-Packenham, P. S. (2008, July). Scaffolding special needs students’ learning of fraction equivalence using virtual manipulatives. In O. Figueras, J. L. Cortina, S. Alatorre, T. Rojano, & A. Sepulveda (Eds.), Proceedings of the 32nd annual conference of the International Group for the Psychology of Mathematics Education (PME) (Vol. 4, pp. 297-304), Morelia, Mexico
  • Uz, İ. (2018). Investigation of 5th grade of middle school students’ self-efficacy toward fractions [Unpublished Master Thesis]. Dokuz Eylül University.
  • Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2013). Elementary and middle school mathematics: Teaching developmentally (8th ed.). Upper Saddle River, NJ: Pearson.
  • Van Hoof, J., Degrande, T., Ceulemans, E., Verschaffel, L., & Van Dooren, W. (2018). Towards a mathematically more correct understanding of rational numbers: A longitudinal study with upper elementary school learners. Learning and Individual Differences, 61, 99–108. https://doi.org/10.1016/j.lindif.2017.11.010.
  • Watts, T. W., Duncan, G. J., Siegler, R. S., & Davis-Kean, P. E. (2014). What’s past is prologue relations between early mathematics knowledge and high school achievement. Educational Researcher, 43(7), 352-360. https://doi.org/10.3102/0013189X14553660
  • Wouters, P., Van Nimwegen, C., Van Oostendorp, H., & Van Der Spek, E. D. (2013). A meta-analysis of the cognitive and motivational effects of serious games. Journal of Educational Psychology, 105(2), 249–265. https://doi.org/10.1037/a0031311
  • Yu, Z. (2019). A meta-analysis of use of serious games in education over decade. International Journal of Computer Games Technology, 1, 1–8. https://doi.org/10.1155/2019/4797032
  • Zhang, M., Trussell, R. P., Gallegos, B., & Asam, R. R. (2015). Using math apps for improving student learning: An exploratory study in an inclusive fourth grade classroom. Techtrends: Linking Research And Practice To Improve Learning, 59(2), 32-39. https://doi.org/10.1007/s11528-015-0837-y
Toplam 65 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Psikoloji
Bölüm Makaleler
Yazarlar

Metin Beşaltı

Ümit Kul

Erken Görünüm Tarihi 30 Aralık 2021
Yayımlanma Tarihi 31 Aralık 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 11 Sayı: 63

Kaynak Göster

APA Beşaltı, M., & Kul, Ü. (2021). Effects of a Game-Based app on Primary Students’ Self Efficacy and Achievements in Learning Fractions During Distance Education. Turkish Psychological Counseling and Guidance Journal, 11(63), 505-520. https://doi.org/10.17066/tpdrd.1051383

!! From 30 November 2023, English language proofreading will be required for accepted articles to ensure language quality.