Email this article Analysis of Elementary School Students' Difficulties in Fraction Addition
Abstract
This study aims to analyze the fraction addition difficulties of fourth-grade students at SDN Candinegoro No. 484. This study utilizes a qualitative approach and case study method. This study's data collection methods included tests and interviews. Data analysis consists of data reduction, data presentation, and data verification. The results of the analysis indicate that students have difficulty learning fraction addition. Students' difficulties with applying concepts, applying principles, and solving verbal problems. Through this study, it is anticipated that teachers will be able to identify the types of difficulties encountered by students when learning fraction addition. Hence, teachers can overcome the errors made by students when working on fraction addition problems. Moreover, teachers can use these guidelines when creating lesson plans to anticipate that there will be no fraction-related difficulties.
Penelitian ini bertujuan untuk menganalisis kesulitan penjumlahan pecahan siswa kelas IV SDN Candinegoro No. 484. Penelitian ini menggunakan pendekatan kualitatif dan metode studi kasus. Metode pengumpulan data penelitian ini meliputi tes dan wawancara. Analisis data terdiri dari reduksi data, penyajian data, dan verifikasi data. Hasil analisis menunjukkan bahwa siswa mengalami kesulitan dalam mempelajari penjumlahan pecahan. Kesulitan yang dialami siswa pada saat menggunakan konsep, prinsip, dan menyelesaikan masalah verbal. Melalui penelitian ini diharapkan guru dapat mengidentifikasi jenis-jenis kesulitan yang dihadapi siswa ketika mempelajari penjumlahan pecahan. Dengan demikian, guru dapat mengatasi kesalahan yang dilakukan siswa saat mengerjakan soal penjumlahan pecahan. Selain itu, guru dapat menggunakan pedoman tersebut saat membuat rencana pelaksanaan pembelajaran untuk mengantisipasi agar tidak ada kesulitan terkait pecahan.
Keywords
Full Text:
PDFReferences
Abadi, M. A. S., & Amir, M. F. (2022). Analysis of the Elementary School Students Difficulties of in Solving Perimeter and Area Problems. JIPM (Jurnal Ilmiah Pendidikan Matematika), 10(2), 396–408.
Ainia, C., & Amir, M. F. (2021). Analysis of Elementary School Students Difficulties’ in Solving Integer Word Problems. MaPan, 9(2), 304. https://doi.org/10.24252/mapan.2021v9n2a8
Aksoy, N. C., & Yazlik, D. O. (2017). Student Errors in Fractions and Possible Causes of These Errors. Journal of Education and Training Studies, 5(11), 219–233. https://doi.org/10.11114/jets.v5i11.2679
Arini, D., Maharbid, D., Gumala, Y., & Jupri, A. (2017). Analysis of mathematical learning of fractional concept on elementary school students. In A. G. Abdullah, A. B. D. Nandiyanto, L. S. Riza, Raindi, & R. R. Agustin (Ed.), International Conference on Mathematics and Science Education (Nomor March).
Bennett, A. B., Burton, L. J., & Nelson, L. T. (2012). Mathematics for Elementary Teacher : A Conseptual Approach. McGraw-Hill.
Braithwaite, D. W., Tian, J., & Siegler, R. S. (2017). Do children understand fraction addition? Developmental Science, 21(4), 1–9. https://doi.org/10.1111/desc.12601
Chan, J. Y., & Scalise, N. R. (2022). Numeracy skills mediate the relation between executive function and mathematics achievement in early childhood. Cognitive Development, 62(April 2021), 101154. https://doi.org/10.1016/j.cogdev.2022.101154
Colorafi, K. J., & Evans, B. (2016). Qualitative Descriptive Methods in Health Science Research. Health Environments Research &Design Journal, 1–11. https://doi.org/10.1177/1937586715614171
Cooney, T. J., Davis, E. J., & Henderson, K. B. (1975). Dynamics of teaching secondary school mathematics. Boston : Houghton Mifflin.
Dewi, N. K., Zainuddin, U., & Ariantje, D. (2020). Analisis Kesulitan Menyelesaikan Soal Matematika Materi Operasi Hitung Bilangan Pecahan Siswa Kelas VII. Primatika : Jurnal Pendidikan Matematika, 9(2), 61–70. https://doi.org/10.30872/primatika.v9i2.217
Fauzi, I., & Arisetyawan, A. (2020). Analisis Kesulitan Belajar Siswa pada Materi Geometri Di Sekolah Dasar. Kreano, Jurnal Matematika Kreatif-Inovatif, 11(1), 27–35. https://doi.org/10.15294/kreano.v11i1.20726
Fennell, F., & Karp, K. (2016). Fraction Sense : Foundational Understandings. Journal Of Learning Disabilities, 1–3. https://doi.org/10.1177/0022219416662030
Flores, M. M., Hinton, V. M., & Meyer, J. M. (2020). Teaching Fraction Concepts Using the Concrete-Representational-Abstract Sequence. Remedial and Special Education, 41(3), 165–175. https://doi.org/10.1177/0741932518795477
Forgues, H. L., Tian, J., & Siegler, R. S. (2015). Why is learning fraction and decimal arithmetic so difficult? Developmental Review, 38(October 2017), 201–221. https://doi.org/10.1016/j.dr.2015.07.008
Fuchs, L. S., Malone, A. S., Schumacher, R. F., Namkung, J., & Wang, A (2016). Fraction Intervention for Students With Mathematics Difficulties: Lessons Learned From Five Randomized Controlled Trials. Journal of Learning Disabilities, 50(6), 631–639. https://doi.org/https://doi.org/10.1177/0022219416677249
Hansen, N., Jordan, N. C., & Carrique, J. (2017). Identifying Learning Difficulties with Fractions: A Longitudinal Study of Student Growth From Third Through Sixth Grade. Contemporary Educational Psychology, 50, 45–59. https://doi.org/10.1016/j.cedpsych.2015.11.002
Hardani, Auliya, N. H., Andriani, H., Fardani, R. A., Ustiawaty, J., Utami, E. F., Sukmana, D. J., & Istiqomah, R. R. (2020). Buku Metode Penelitian Kualitatif & Kuantitatif (H. Abadi (ed.); March). CV. Pustaka Ilmu Group.
Hunt, J. H., Welch-ptak, J. J., & Silva, J. M. (2016). Initial Understandings of Fraction Concepts Evidenced by Students With Mathematics Learning Disabilities and Difficulties : A Framework. Learning Disability Quarterly, 1–13. https://doi.org/10.1177/0731948716653101
Irawan, A., & Kencanawaty, G. (2017). Peranan Kemampuan Verbal Dan Kemampuan Numerik Terhadap Kemampuan Berpikir Kritis Matematika. AKSIOMA Journal of Mathematics Education, 5(2), 110. https://doi.org/10.24127/ajpm.v5i2.669
Istiqomah, A. P., Junaedi, D., & Kaburuan, E. R. (2018). Designing user interface on monopoly game application for learning fraction in elementary school by using goal directed design method. MATEC Web of Conferences, 197. https://doi.org/10.1051/matecconf/201819716009
Izsak, A., Tillema, E., & Tung-Pekkan, Z. (2008). Teaching and Learning Fraction Addition on Number Lines. Journal for Research in Mathematics Education, 39(1), 33–62.
Kalra, P. B., Hubbard, E. M., & Matthews, P. G. (2020). Taking the relational structure of fractions seriously: Relational reasoning predicts fraction knowledge in elementary school children. Contemporary Educational Psychology, 62(July), 101896. https://doi.org/10.1016/j.cedpsych.2020.101896
Kara, F., & Incikabi, L. (2018). Sixth Grade Students’ Skills of Using Multiple Representations in Addition and Subtraction Operations in Fractions. International Electronic Journal of Elementary Education, 10(4), 463–474. https://doi.org/10.26822/iejee.2018438137
Karamarkovich, S. M., & Rutherford, T. (2019). Fraction Errors in a Digital Mathematics Environment : Latent Class and Transition Analysis. Journal of Numerical Cognition, 5(2), 158–188. https://doi.org/10.5964/jnc.v5i2.150
Khaesarani, I. R. (2021). Analysis of Students Learning Difficulties in Advanced Differential Equation Courses Reviewed from the Use of Learning Media During the Covid-19 Pandemic. Department of Mathematics Education, 114–124. https://doi.org/10.30595/alphamath.v7i2.12083
Kusuma, U. I., & Retnawati, H. (2019). Analysis of Sixth Graders’ Difficulties in Solving Mathematics Word Problems on Whole Numbers, Fractions, and Decimals. Journal of Physics: Conference Series, 1320(1). https://doi.org/10.1088/1742-6596/1320/1/012008
Maelasari, E., & Jupri, A. (2017). Analysis of Student Errors on Division of Fractions. Journal of Physics: Conference Series, 1–5. https://doi.org/10.1088/1742-6596/755/1/011001
Muharram, M., Prabawanto, S., & Jupri, A. (2019). Analysis of Students’ Critical Thinking Skill of Fractions on Primary School. International Conference on Mathematics and Science Education, 1–6. https://doi.org/10.1088/1742-6596/1157/3/032119
Mukminah, Hirlan, & Sriyani. (2021). Analisis Kesulitan Belajar Berhitung Siswa Pada Mata Pelajaran Matematika Kelas IV SDN 1. Jurnal Pacu Pendidikan Dasar, 1(1), 1–14.
Mulyana, T., Amin, S. A., & Tatag. (2019). Error Analysis of Class V Students in Resolving Decimal Fractional Division. International Journal of Innovative Science and Research Technology, 4(12), 982–987.
Nugrahani, F. (2014). Metode Penelitian Kualitatif dalam Penelitian Pendidikan Bahasa. In Cakra Books (Vol. 1, Nomor 1). Cakra Books.
Palinkas, L. A., Horwitz, S. M., Green, C. A., Wisdom, J. P., Duan, N., & Hoagwood, K. (2015). Purposeful Sampling for Qualitative Data Collection and Analysis in Mixed Method Implementation Research. Administration and Policy in Mental Health and Mental Health Services Research, 42, 533–544. https://doi.org/10.1007/s10488-013-0528-y
Pramesti, C., & Ariesandi, P. (2021). Analisis Tingkat Kesulitan Belajar Matematika Siswa dalam Menggunakan Prinsip Matematis. Edumatica, 11(2), 9–17.
Pratiwi, M. fina, Budiman, M. A., & Cahyadi, F. (2020). Analisis kesulitan belajar siswa dalam memecahkan masalah matematika materi operasi hitung pecahan kelas V SD Negeri Cepagan 01 Batang. JS (JURNAL SEKOLAH), 4(3), 267–273.
Purnomo, Y. W., Widowati, C., Aziz, T. A., & Pramudiani, P. (2017). Fractions division knowledge of elementary school student: The case of Lala. AIP Conference Proceedings, 1868. https://doi.org/10.1063/1.4995148
Putri, R. I. I., Gunawan, M. S., & Zulkardi. (2018). Addition of Fraction in Swimming Context. Journal of Physics: Conference Series, 943(1). https://doi.org/10.1088/1742-6596/943/1/012035
Rahmawati, D., Hudiono, B., & Nursangaji, A. (2015). Representasi Visual Matematika Siswa dalam Menyelesaikan Masalah Verbal SPLDV Kelas IX SMP. Jurnal Pendidikan dan Pembelajaran Khatulistiwa, 4(5), 1–10.
Rahmawati, T., Pangesti, S. R., Nuriadin, I., Kurniasih, M., & Purnomo, Y. W. (2020). How Do Indonesian Elementary School Mathematics Textbooks Introduce Fractions ? Journal of Physics, 1–9. https://doi.org/10.1088/1742-6596/1581/1/012024
Rahmawati, Zuliani, R., & Rini, C. P. (2021). Analisis Kesulitan Belajar Matematika Pada Siswa Kelas V SDN Karawaci 11. NUSANTARA : Jurnal Pendidikan dan Ilmu Sosial, 3(3), 478–488. https://doi.org/https://doi.org/10.36088/nusantara.v3i3.1515
Ricks, T. E. (2009). Mathematics Is Motivating. Mathematics educator, 19(2), 2–9.
Safriani, W., Munzir, S., Duskri, M., & Maulidi, I. (2019). Analysis of Students’ Errors on the Fraction Calculation Operations Problem. Al-Jabar : Jurnal Pendidikan Matematika, 10(2), 307–318. https://doi.org/https://doi.org/10.24042/ajpm.v10i2.5224
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
Simon, M. A., Placa, N., Avitzur, A., & Kara, M. (2018). Promoting a concept of fraction-as-measure: A study of the Learning Through Activity research program. Journal of Mathematical Behavior, 52(November 2017), 122–133. https://doi.org/10.1016/j.jmathb.2018.03.004
Suarjana, I. md, Parmiti, D. P., & Safitri, E. A. (2018). Analisis Kesulitan Siswa Dalam Menyelesaikan Operasi Hitung Pecahan Siswa Sekolah Dasar. International Journal of Elementary Education, 2(2), 144–155. https://doi.org/http://dx.doi.org/10.23887/ijee.v2i2.14417
Tian, J., & Siegler, R. S. (2016). Fractions Learning in Children With Mathematics Difficulties. Journal of Learning Disabilities, 50(6), 1–7. https://doi.org/10.1177/0022219416662032
Trivena, V., Ningsih, A. R., & Jupri, A. (2017). Misconception on Addition and Subtraction of Fraction at Primary School Students in Fifth-Grade. Journal of Physics: Conference Series, 895(1). https://doi.org/10.1088/1742-6596/895/1/012139
Ulya, H., & Rahayu, R. (2020). Kemampuan Representasi Matematis Field Intermediate Dalam Menyelesaikan Soal Etnomatematika. AKSIOMA: Jurnal Program Studi Pendidikan Matematika, 9(2), 451–466. https://doi.org/http://dx.doi.org/10.24127/ajpm.v9i2.2695
Wahyuddin. (2016). Analisis Kemampuan Menyelesaikan Soal Cerita Matematika Ditinjau Dari Kemampuan Verbal. Beta, Jurnal Tadris Matematika, 9(2), 148–160. https://doi.org/10.24014/sjme.v2i2.2213
Waluyo, E. ;, & Nuraini. (2021). Analisis Kesulitan Belajar Matematika Siswa Materi Bnagun Datar Sekolah Menengah Pertama. Jurnal Program Studi Pendidikan Matematika, 10(2), 1273–1283. https://doi.org/10.24127/ajpm.v10i2.3586
Refbacks
- There are currently no refbacks.
