The Students’ Mathematics Learning Difficulties Analysis

Wahyu Purwaningsih, Haryanto Haryanto

Abstract


This study aims to describe, interpret, and analyze the PGSD UPY students’ difficulties in learning mathematics 2. The research type is a descriptive qualitative research. The research subjects are students and a mathematics lecturer of PGSD UPY. The data were gathered through interviews, observations, documentations, and tests. The data validity test was done by using triangulation of sources and techniques. Proprietary interactive analysis models (Miles, Huberman, & Saldana, 2014) were used to analyzed the data. The results show that there are some difficulties experienced by students in learning numberic system especially for fractions. The pretest and post test results show that  A1 and A2 students get low average score on fractions materials. The average score of the pretest for A1 is 66.11 while A2 is 62.35. The average core of the posttest for A1 is 67.22, while A2 is 63.52.


Keywords


learning difficulties analysis; mathematics; fractions

Full Text:

PDF

References


Ardani, R. A., Setyaningrum, W., & Salsabila, N. H. (2018). The Perceptions of Students and Teachers About The Use of Edutainment Instructional Media in Mathematics Learning. ), Volume 160 University, 160(July). https://doi.org/10.2991/incomed-17.2018.49

Barber, M., & Mourshed, M. (2007). How the world’s best performing schools come out on top. McKinsey & Company.

Bell, F. H. (1981). Teaching and learning mathematics (in secondary school). Dubuque: Wm. C. Brown Company Publisher.

Blitzer, R. F. (2019). Thinking Mathematically (7th ed.). USA: Pearson.

Booth, J. L. (2014). Why Can ’ t Students Get the Concept of Math ? (June), 31–35.

Brousseau, G. (2002). Theory of didactical situations in mathematics. Dordrecht: Kluwer Academic Publishers.

Brown, S. A. (2008). Exploring Epistemological Obstacles to the Development of Mathematics Induction Stacy A. Brown Pitzer College. 1–19.

Ciltas, A., & Tatar, E. (2011). Diagnosing learning difficulties related to the equation and inequality that contain terms with absolute value. International Online Journal of Educational Sciences, 3(2), 461–473.

Ciosek, M., & Samborska, M. (2016). The Journal of Mathematical Behavior A false belief about fractions – What is its source ? Journal of Mathematical Behavior, 42, 20–32. https://doi.org/10.1016/j.jmathb.2016.02.001

Cooney, T. J., Davis, E. J., & Henderson, K. B. (1975). Dynamics of teaching secondary school mathematics. New York: Houghton Miffin.

Cortina, J. L., Visnovska, J., & Zuniga, C. (2014). Equipartition as a didactical obstacle in fraction instruction. Acta Didactica Universitatis Comenianae: Mathematics, 14, 1–18.

D’Augustine, C., & Smith, C. W. (1992). Teaching Elementary School Mathematics. New York: Harper Collins Publisher.

Fosnot. (1996). Enquiring teachers, enquiring learners: A constructivist approach for teaching. New York: Columbia University.

Gagne, R. M. (1988). Mastery Learning and Instructional Design. Performance Improvement Quarterly. https://doi.org/https://doi.org/10.1111/j.1937-8327.1988.tb00003.x

Gattuso, L., & Ottaviani, M. G. (2015). Complementing Mathematical Thinking and Statistical Thinking in School Mathematics. (June 2011). https://doi.org/10.1007/978-94-007-1131-0

Geller, E. H., Son, J. Y., & Stigler, J. W. (2017). Conceptual explanations and understanding fraction comparisons. Learning and Instruction, 52, 122–129. https://doi.org/10.1016/j.learninstruc.2017.05.006

Greenberg, D. (1996). Funny & Fabulous Fraction Stories: 30 Reproducible Math Tales and Problems to Reinforce Importanr Fraction Skills. New York: Schoolastic Professional Books.

Gulo, W. (2008). Strategi belajar mengajar. Jakarta: Grafindo.

Jordan, N. C., & Levine, S. C. (2009). Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Developmental Disabilities Research Reviews, 15(1), 60–68. https://doi.org/10.1002/ddrr.46

Kang, J. S., Choi, I. W., Han, M. H., Lee, D. S., Kim, G. Y., Hwang, H. J., … Choi, Y. H. (2015). The cytoprotective effect of Petalonia binghamiae methanol extract against oxidative stress in C2C12 myoblasts: Mediation by upregulation of heme oxygenase-1 and nuclear factor-erythroid 2 related factor 2. Marine Drugs, 13(5), 2666–2679. https://doi.org/10.3390/md13052666

Kereh, C. T., Sabadar, J., & Tjiang, P. C. (2013). Identifikasi kesulitan belajar mahasiswa dalam konten matematika pada materi pendahuluan fisika inti. Proceedings of Seminar Nasional Sains Dan Pendidikan Sains VIII, Fakultas Sains Dan Matematika, 10–17.

Khiat, H. (2010). A grounded theory approach: Conceptions of understanding in engineering mathematics learning. Qualitative Report, 15(6), 1459–1488.

Lenhard, W. & Lenhard, A. (2013). Learning Difficulties. L. Meyer (Ed.), Oxford Bibliographies in Education. New York: Oxford University Press.

Lerner, L. K., & Lerner, W. B. (2003). World of Microbiology & Immunology. United States of America: The Gale Group, Inc.

Madanhire, I., & Mbohwa, C. (2016). Application of Statistical Process Control (SPC) in Manufacturing Industry in a Developing Country. Procedia CIRP, 40(May), 580–583. https://doi.org/10.1016/j.procir.2016.01.137

Miles, M. B., Huberman, A. M., & Saldana, J. (2014). Qualitative Data Analysis: A methods Sourcebook. Retrieved from http://library1.nida.ac.th/termpaper6/sd/2554/19755.pdf

Mullis, I. V. S., Martin, M. O., Foy, P., & Arora, A. (2012). Timss 2011 International Results in Mathematics. In TIMSS & PIRLS International Study Center (Vol. 2012). Retrieved from http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=3295935&tool=pmcentrez&rendertype=abstract

Musser, G. L., Burger, W. F., & Peterson, B. E. (2011). Mathematics For Elementary Teachers: A Contempory Approach. John Wiley & Son, Inc.

Mwakapenda, W. (2004). Understanding student understanding in mathematics. Pythagoras, 28–35. Retrieved from https://www.researchgate.net/publication/268008138_Understanding_student_understanding_in_mathematics

NCTM. (2015). Strategic Use of Technology in Teaching and Learning Mathematics. Livestock Research for Rural Development, 24(4), 6.

Nitko, A. J. & Brookhart, S. M. (2011). Educational Assessment of Students. Bostom: Perason Education.

Novak, D., & Renzo, A. D. (2013). Twelve mathematical concepts: a study guide for the ithaca college math placement exam. New York: Ithaca College.

OECD. (2019). PISA 2018: Assessment and Analytical Framework. 11–20.

Rahman, S. A. (2010). The development of a framework to assess mathematical thinking of stage one pupils. Procedia - Social and Behavioral Sciences, 8, 307–311. https://doi.org/10.1016/j.sbspro.2010.12.042

Rautiainen, M., Mäensivu, M., & Nikkola, T. (2018). Becoming interested during teacher education. European Journal of Teacher Education, 41(4), 418–432. https://doi.org/https://doi.org/10.1080/02619768.2018.1462329

Rose, C. M., & Arline, C. B. (2008). Uncovering Student Thinking in Mathematics, Grades 6-12: 30 Formative Assessment Probes for the Secondary Classroom. United Kingdom: SAGE Publications.

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

Skemp, R. R. (1971). The Psychology of Learning Mathematics. Baltimore: Richard Clay (The Causer Press) Ltd.

Smith, Claire Wyatt., Elkins, John., & Gunn, S. (2011). Multiple Perspectives on Difficulties in Learning Literacy and Numeracy.

Souviney, R. J. (1994). Learning to Teach Mathematics (2nd ed.). San Diego: Macmillan Publishing Company.

Stern, J., Lauriault, N., & Ferraro, K. (2017). Tools for Teaching Conceptual Understanding, Elementary: Harnessing Natural Curiosity for Learning That Transfers. California: Corwin.

Stigler, J., Givvin, K., & Thompson, B. (2010). What Community College Developmental Mathematics Students Understand about Mathematics. MathAMATYC Educator, 1(3), 4–16.

Sugihartono. (2012). Psikologi Pendidikan. Yogyakarta: UNY Press.

Sulaiman, W. I. W., Mahbob, M. H., & Azlan, A. A. (2011). Learning outside the classroom: Effects on student concentration and interest. Procedia - Social and Behavioral Sciences. https://doi.org/https://doi.org/10.1016/j.sbspro.2011.05.003

Suneetha, E., Rao, R. S., & Rao, D. B. (2011). Methods of learning mathematics. London: SAGE Publications.

Swarat, S., Ortony, A., & Revelle, W. (2012). Activity matters: Understanding student interest in school science. Journal of Research in Science Teaching. https://doi.org/https://doi.org/10.1002/tea.21010

Tambychik, T., & Meerah, T. S. M. (2010). Students’ difficulties in mathematics problem-solving: What do they say? Procedia - Social and Behavioral Sciences, 8, 142–151. https://doi.org/10.1016/j.sbspro.2010.12.020

Torbeyns, J., Schneider, M., Xin, Z., & Siegler, R. S. (2014). Bridging the gap : Fraction understanding is central to mathematics achievement in students from three different continents. Learning and Instruction. https://doi.org/10.1016/j.learninstruc.2014.03.002

Vulperhorst, J. P., Wessels, K. R., Bakker, A., & Akkerman, S. F. (2018). How do STEM-interested students pursue multiple interests in their higher educational choice? International Journal of Science Education, 40(9), 828–846. https://doi.org/https://doi.org/10.1080/09500693.2018.1452306

Vygotsky, L. S. (1978). 09 y 13. Internalización de las funciones psicológicas superiores. In El Dessarrollo de los procesos psicológicos superiores.

Westwood, P. (2008). What teachers need to know about learning difficulties. Australia: ACER Press.

Widyastuti, N. S., & Pujiastuti, P. (2014). Pengaruh Pendidikan Matematika Realistik Indonesia (PMRI) terhadap Pemahaman Konsep dan Berpikir Logis Siswa. Jurnal Prima Edukasia, 2(2), 183–193.

Williams, T., & Williams, K. (2010). Self-Efficacy and Performance in Mathematics : Reciprocal Determinism in 33 Nations. 102(2), 453–466. https://doi.org/10.1037/a0017271

Yilmaz, Ç., Altun, S. A., & Olkun, S. (2010). Factors affecting students’ attidude towards Math: ABC theory and its reflection on practice. Procedia - Social and Behavioral Sciences, 2(2), 4502–4506. https://doi.org/10.1016/j.sbspro.2010.03.720

Yoong, W. K. (1987). Aspects of Mathematical Understanding. Singapore Journal of Education, 8(2), 45–55. https://doi.org/https://doi.org/10.1080/02188798708547623




DOI: http://dx.doi.org/10.17977/jptpp.v7i11.21246

Refbacks

  • There are currently no refbacks.


Copyright (c) 2023 Wahyu Purwaningsih, Haryanto Haryanto

Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.


JPtpp is accredited “Rank 3” as a scientific journal under the decree of the Directorate General of Research Enhancement and Development, Ministry of Research, Technology, and Higher Education, dated December 7, 2022, No: 225/E/KPT/2022, effective for five years from Volume 7 Issue 8, 2022 until Volume 12 Issue 7, 2027. Link to download


Jurnal Pendidikan: Teori, Penelitian, & Pengembangan

Journal of Education: Theory, Research, and Development

Graduate School Of Universitas Negeri Malang

Lisensi Creative Commons

JPtpp is licensed under Creative Commons Attribution-ShareAlike 4.0 International License