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Misconception of Fraction among Middle Grade Year Four Pupils at Primary School

Year 2018, Volume: 2 Issue: 1, 111 - 125, 01.06.2018

Abstract

Fraction can be defined by two definitions; part of whole and part of a set of objects. The addition of two fractions with different denominators is an interesting topic but often confuses the pupils. Hence, this study was implemented to identify the mistakes and misconceptions among middle grade Year Four pupils in solving this particular problem. A survey using qualitative-descriptive method was done involving five participants; two male and three female pupils. Meanwhile, the instruments used in data collection method were tests, document analysis using participants’ written answers and interviews to support the gathered findings. Findings from the analysis of test document showed 10 types of mistake committed by the participants. In conclusion, mistake that was often committed by pupils when adding two fractions with different denominators is the misconception in fraction

References

  • Alghazo, Y. M., & Alghazo, R. (2017). Exploring common misconceptions and errors about fractions among college students in saudi arabia. International Education Studies, 10(4), 133–140. doi:10.5539/ies.v10n4p133
  • Almeda, D., Cruz, E., & Dy, A. (2013). Addressing student s’ misconceptions and developing their conceptual understanding and procedural skills on fractions using manipulative materials. Research Congress 1–8.
  • Johar, A. M., & Zakaria, E. (2015). Analisis kesilapan bagi tajuk pecahan dalam kalangan murid [Mistakes analysis for fractions among students]. Jurnal Pendidikan Matematik [Mathematical Education Journal], 3(2), 1–17.
  • Bruce, C. D., & Ross, J. (2009). Conditions for effective use of ınteractive on-line learning objects : The case of a fractions computer- based learning sequence, 3(1), 12-29.
  • Clarke, D. M., Roche, A., & Mitchell, A. (2007). Year six fraction understanding: A part of the whole story. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research essential practice. Mathematics Education Research Group of Australasia (Vol 1: 207-216). Adelaide: MERGA.
  • Dhlamini, Z. B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions ın addition of fractions. Mediterranean Journal of Social Sciences (August), 5(8), 236. doi:10.5901/mjss.2014.v5n8p236
  • Frerichs, R. R. (2008). Simple random sampling. 9–37. doi:10.1002/9781118162934.ch2
  • Sarju, H. B., Hamzah, R. B., & Udin, A. B. (2010). Pendidikan: Matlamat dan fungsinya [Education: Objectives and functions]. Jurnal Seminar EduPress [Journal of EduPress Seminar], 1-11.
  • Iseni, A. (2011). Assessment, testing and correcting students ’ errors and mistakes (October): 60–90.
  • Kavramasi, Ö. K. (2003). Students ’ Conceptıon of fractıons. 64–69.
  • Kawulich, B., Garner, M. W. J., & Wagner, C. (2009). Students’ conceptions and misconceptions of social research. Qualitative Sociology Review, 3, 5–25.
  • M. Aida Suraya et al. (1993). Analisis kesilapan masalah - masalah berkaitan nombor perpuluhan dan pecahan bagi pelajaran - pelajaran tahun lima sekolah rendah [Analysis of problematic related to decimal and fractions among year five pupils]. Jurnal Pendidik dan Pendidikan [Educator and Education Journal], 12. 15-32
  • Mohyuddin, R. G., & Khalil, U. (2016). Misconceptions of students in learning mathematics at primary level 38(1): 133–162.
  • Norfarhana binti Mohamad Norizan. (2010). Diagnosis kesalahan lazim dalam tajuk pecahan di kalangan pelajar tingkatan dua [Diagnosis of typical mistakes of fractions among form two students]. Universiti Teknologi Malaysia, April.
  • Norfarhana (2010). Pedagogi dalam pendidikan matematik [Pedagogy in mathematical education]. Kuala Lumpur: Utusan Publications & Distributors Sdn.Bhd.
  • Nor Hasniza, I. (2006). Kajıan pemıkıran dan amalan refleksı dı kalangan guru pelatıh saıns Unıversıtı Teknologı Malaysıa [Research of taught and reflection practice among practicum science teacher of Malaysian Technical University].
  • Ojose, B. (2015). Students’ misconceptions in mathematics: analysis of remedies and what research says. Ohio Journal of School Mathematics 72: 30–35.
  • Ojose, B. (2008). Applying Piaget’s theory of cognitive development to mathematics instruction. The Mathematics. Educator. 18, 26–30. Retrieved from
  • http://math.coe.uga.edu/tme/issues/v18n1/v18n1_Ojose.pd
  • P. Murugayah, & M. Siti Mistima. (2015). Topik pecahan menggunakan teknologi [Fractions using information technology and communication ( ICT )].
  • Saragih, S. (2011). Menumbuhkembangkan berpikir logis dan sikap positif terhadap matematika melalui pendekatan matematika realistik [Develop logical thinking and positive attitude to mathematics through the realistic mathematical approach]. Jurnal Pendidikan dan Kebudayaan Departemen Pendidikan Nasional, Badan Penelitian dan Pengembangan [Journal of Education And Culture Department of National Education, Agency for Research and Development] (1589), 1–21.
  • Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding students’ mathematical errors and misconceptions: The case of year 11 repeating students. Mathematics Education Trends and Research, 2014, 1-10.
  • Schoenfeld, A. (1985). Mathematical problem solving. London, Academic Press.
  • Suid, H. (2005). Faktor-faktor kelemahan pelajar dalam mata pelajaran matematik di peringkat sekolah rendah [Factors of students' weakness in mathematics at primary school level].
  • Trivena, V., Ningsih, A. R., & Jupri, A. (2017). Misconception on addition and subtraction of fraction at primary school students in fifth-grade misconception on addition and subtraction of fraction at primary school students in fifth-grade. Journal of Physics: Conf. Series. doi:10.1088/1742-6596/895/1/012139
  • Wong, M., & Evans, D. (2011). Fractions: Teaching for understanding.
  • Very Hendra Saptra (2011). Kesalahan siswa smp dalam melakukan operasi aritmatika pada pecahan [SMP graduates mistakes on arithmetic operations of fraction]. Program Study Pendidikan Matematika Fakultas Sains dan Teknologi [Mathematics Education Study Programs Faculty of Science and Technology], UIN Sunan Kalijaga, Yogyakarta.
  • Y. Abdullah et al. (2016). Analisis kesalahan dalam menyelesaikan operasi penambahan dan penolakan pecahan dalam kalangan murid tahun empat [Analysis of mistakes in completing addition and subtration operation of fraction among year four pupils]. International Journal of Education and Training (InjET,) 2, 1-9.
  • Z. Salleh et al. (2013). Analisis jenis kesilapan dalam operasi penambahan dan penolakan pecahan [Type of mistakes analysis in addition and subtraction of fraction]. Jurnal Pendidikan Matematik [Mathematical Education Journal], 1, 1-10.
  • Nama: __________________________ Kelas: __________________________ TAJUK: PECAHAN
  • Menambah dua pecahan dengan penyebut yang berbeza. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
Year 2018, Volume: 2 Issue: 1, 111 - 125, 01.06.2018

Abstract

References

  • Alghazo, Y. M., & Alghazo, R. (2017). Exploring common misconceptions and errors about fractions among college students in saudi arabia. International Education Studies, 10(4), 133–140. doi:10.5539/ies.v10n4p133
  • Almeda, D., Cruz, E., & Dy, A. (2013). Addressing student s’ misconceptions and developing their conceptual understanding and procedural skills on fractions using manipulative materials. Research Congress 1–8.
  • Johar, A. M., & Zakaria, E. (2015). Analisis kesilapan bagi tajuk pecahan dalam kalangan murid [Mistakes analysis for fractions among students]. Jurnal Pendidikan Matematik [Mathematical Education Journal], 3(2), 1–17.
  • Bruce, C. D., & Ross, J. (2009). Conditions for effective use of ınteractive on-line learning objects : The case of a fractions computer- based learning sequence, 3(1), 12-29.
  • Clarke, D. M., Roche, A., & Mitchell, A. (2007). Year six fraction understanding: A part of the whole story. In J. Watson & K. Beswick (Eds.), Mathematics: Essential research essential practice. Mathematics Education Research Group of Australasia (Vol 1: 207-216). Adelaide: MERGA.
  • Dhlamini, Z. B., & Kibirige, I. (2014). Grade 9 learners’ errors and misconceptions ın addition of fractions. Mediterranean Journal of Social Sciences (August), 5(8), 236. doi:10.5901/mjss.2014.v5n8p236
  • Frerichs, R. R. (2008). Simple random sampling. 9–37. doi:10.1002/9781118162934.ch2
  • Sarju, H. B., Hamzah, R. B., & Udin, A. B. (2010). Pendidikan: Matlamat dan fungsinya [Education: Objectives and functions]. Jurnal Seminar EduPress [Journal of EduPress Seminar], 1-11.
  • Iseni, A. (2011). Assessment, testing and correcting students ’ errors and mistakes (October): 60–90.
  • Kavramasi, Ö. K. (2003). Students ’ Conceptıon of fractıons. 64–69.
  • Kawulich, B., Garner, M. W. J., & Wagner, C. (2009). Students’ conceptions and misconceptions of social research. Qualitative Sociology Review, 3, 5–25.
  • M. Aida Suraya et al. (1993). Analisis kesilapan masalah - masalah berkaitan nombor perpuluhan dan pecahan bagi pelajaran - pelajaran tahun lima sekolah rendah [Analysis of problematic related to decimal and fractions among year five pupils]. Jurnal Pendidik dan Pendidikan [Educator and Education Journal], 12. 15-32
  • Mohyuddin, R. G., & Khalil, U. (2016). Misconceptions of students in learning mathematics at primary level 38(1): 133–162.
  • Norfarhana binti Mohamad Norizan. (2010). Diagnosis kesalahan lazim dalam tajuk pecahan di kalangan pelajar tingkatan dua [Diagnosis of typical mistakes of fractions among form two students]. Universiti Teknologi Malaysia, April.
  • Norfarhana (2010). Pedagogi dalam pendidikan matematik [Pedagogy in mathematical education]. Kuala Lumpur: Utusan Publications & Distributors Sdn.Bhd.
  • Nor Hasniza, I. (2006). Kajıan pemıkıran dan amalan refleksı dı kalangan guru pelatıh saıns Unıversıtı Teknologı Malaysıa [Research of taught and reflection practice among practicum science teacher of Malaysian Technical University].
  • Ojose, B. (2015). Students’ misconceptions in mathematics: analysis of remedies and what research says. Ohio Journal of School Mathematics 72: 30–35.
  • Ojose, B. (2008). Applying Piaget’s theory of cognitive development to mathematics instruction. The Mathematics. Educator. 18, 26–30. Retrieved from
  • http://math.coe.uga.edu/tme/issues/v18n1/v18n1_Ojose.pd
  • P. Murugayah, & M. Siti Mistima. (2015). Topik pecahan menggunakan teknologi [Fractions using information technology and communication ( ICT )].
  • Saragih, S. (2011). Menumbuhkembangkan berpikir logis dan sikap positif terhadap matematika melalui pendekatan matematika realistik [Develop logical thinking and positive attitude to mathematics through the realistic mathematical approach]. Jurnal Pendidikan dan Kebudayaan Departemen Pendidikan Nasional, Badan Penelitian dan Pengembangan [Journal of Education And Culture Department of National Education, Agency for Research and Development] (1589), 1–21.
  • Sarwadi, H. R. H., & Shahrill, M. (2014). Understanding students’ mathematical errors and misconceptions: The case of year 11 repeating students. Mathematics Education Trends and Research, 2014, 1-10.
  • Schoenfeld, A. (1985). Mathematical problem solving. London, Academic Press.
  • Suid, H. (2005). Faktor-faktor kelemahan pelajar dalam mata pelajaran matematik di peringkat sekolah rendah [Factors of students' weakness in mathematics at primary school level].
  • Trivena, V., Ningsih, A. R., & Jupri, A. (2017). Misconception on addition and subtraction of fraction at primary school students in fifth-grade misconception on addition and subtraction of fraction at primary school students in fifth-grade. Journal of Physics: Conf. Series. doi:10.1088/1742-6596/895/1/012139
  • Wong, M., & Evans, D. (2011). Fractions: Teaching for understanding.
  • Very Hendra Saptra (2011). Kesalahan siswa smp dalam melakukan operasi aritmatika pada pecahan [SMP graduates mistakes on arithmetic operations of fraction]. Program Study Pendidikan Matematika Fakultas Sains dan Teknologi [Mathematics Education Study Programs Faculty of Science and Technology], UIN Sunan Kalijaga, Yogyakarta.
  • Y. Abdullah et al. (2016). Analisis kesalahan dalam menyelesaikan operasi penambahan dan penolakan pecahan dalam kalangan murid tahun empat [Analysis of mistakes in completing addition and subtration operation of fraction among year four pupils]. International Journal of Education and Training (InjET,) 2, 1-9.
  • Z. Salleh et al. (2013). Analisis jenis kesilapan dalam operasi penambahan dan penolakan pecahan [Type of mistakes analysis in addition and subtraction of fraction]. Jurnal Pendidikan Matematik [Mathematical Education Journal], 1, 1-10.
  • Nama: __________________________ Kelas: __________________________ TAJUK: PECAHAN
  • Menambah dua pecahan dengan penyebut yang berbeza. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10)
There are 31 citations in total.

Details

Other ID JA49NR94JZ
Journal Section Research Article
Authors

Siti Nurhani Abdul Ghani This is me

Siti Mistima Maat This is me

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 2 Issue: 1

Cite

APA Ghani, S. N. A., & Maat, S. M. (2018). Misconception of Fraction among Middle Grade Year Four Pupils at Primary School. Research on Education and Psychology, 2(1), 111-125.

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