Tablica z ulomki kot učinkovita podpora učencem za razvijanje konkretnega mišljenja pri usvajanju koncepta ulomka

Ključne besede: tablica za ulomke, osnovna šola, Indonezija, razvijanje matematičnih pojmov, indonezijski realistični pristop k matematiki, PMRI (Pendidikan Matematika Realistik Indonesia).

Povzetek

Namen raziskave je preučiti učinkovitost tablice ulomkov v obliki čokolade kot podpore učencem pri usvajanju konceptov ulomkov in pravilnih postopkov za izvajanje operacij z ulomki (seštevanje in odštevanje). Načrt raziskave je deskriptivno kvalitativen. V raziskavi je bilo udeleženih 35 četrtošolcev iz izbrane osnovne šole v Indoneziji. Podatke smo zbirali z opazovanjem med učnimi urami. Rezultati so pokazali, da so tablice za ulomke v obliki čokolade učinkovite kot podpora učencem pri natančnem izvajanju operacij z ulomki, kot so prepoznavanje enakovrednih ulomkov, izenačevanje imenovalcev dveh enostavnih ulomkov ter seštevanje in odštevanje enostavnih ulomkov.

Prenosi

Podatki o prenosih še niso na voljo.

Literatura

Amir-Mofidi, S., Amiripour, P., and Bijan-Zadeh, M. H. (2012). Instruction of mathematical concepts through analogical reasoning skills. Indian Journal of Science and Technology, 5(6), 2916–2922. http://www.indjst.org/index.php/indjst/issue/view/2889

Appleton, S. J. (2012). Conceptual Understanding of Fractions and Decimals for Fourth Grade Students Master of Arts, Boise State University. https://doi.org/10.1016/j.kjss.2016.06.001

Arends, F., Winnaar, L., and Mosimege, M. (2017). Teacher classroom practices and mathematics performance in South African schools: A reflection on TIMSS 2011. South African Journal of Education, 37(3), 1–11. https://doi.org/10.15700/saje.v37n3a1362

Bayaga, A., and Bossé, M. J. (2018). Semantic and syntactic fraction understanding. International Electronic Journal of Elementary Education, 11(2), 135–142. https://doi.org/10.26822/iejee.2019248587

Bossé, M. J., Bayaga, A., Fountain, C., Lynch-Davis, K., Preston, R., and Adu-Gyamfi, K. (2018a). Fraction learners: Assessing understanding through language acquisition. International Electronic Journal of Elementary Education, 11(2), 113–124. https://doi.org/10.26822/iejee.2-019248585

Bossé, M. J., Bayaga, A., Fountain, C., Lynch-Davis, K., Preston, R., and Adu-Gyamfi, K. (2018b). Fraction learners: Assessing understanding through language acquisition. International Electronic Journal of Elementary Education, 11(2), 113–124. https://doi.org/10.26822/iejee.201-9248585

Brown, G., and Quinn, R. J. (2007). Investigating the relationship between fraction proficiency and success in algebra (pp. 8–15). The Australian Mathematics Teacher, 63(4), 8-15.

Carpendale, J. I. M. (2018). from Piaget’s Constructivist, Process Worldview to Methods. Constructivist Foundations, 14(1), 82–84. http://e-resources.perpusnas.go.id:2091/eds/pdfviewer/pdfv-iewer?vid=7&sid=016b7680-d3ea-462f-a1cd-89ffcc2a75af%40sdc-v-sessmgr01

Concepts, D. F. (n.d.). Developing Fraction Concepts (pp. 339–370).

Creswell, J. W. (2007). Qualitative Inquiry & Research Design (3rd ed.). Sage. https://www.ptonline.c-om/articles/how-to-get-better-mfi-results

Gravemeijer, K. (2004). Local Instruction Theories as Means of Support for Teachers in Reform Mathematics Education. Mathematical Thinking and Learning, 6(2), 105–128. https://doi.o-rg/10.1207/s15327833mtl0602_3

Hwang, S., Yeo, S., and Son, T. (2020). A comparative analysis of fraction addition and subtraction contents in the mathematics textbooks in the U.S. and South Korea. International Electronic Journal of Elementary Education, 13(4), 511–521. https://doi.org/10.26822/iejee.2021.208

Jarrah, A. M., Wardat, Y., and Gningue, S. (2022). Misconception on addition and subtraction of fractions in seventh-grade middle school students. Eurasia Journal of Mathematics, Science and Technology Education, 18(6). https://doi.org/10.29333/ejmste/12070

Karika, T., and Csíkos, C. (2022). A Test for Understanding Simple Fractions Among 5th Grade Students at the Beginning of Lower Secondary Education. Eurasia Journal of Mathematics, Science and Technology Education, 18(2), 1–14. https://doi.org/10.29333/EJMSTE/11654

Koenig, G. (2006). Orchard Software and the NCTM Principles and Standards for School Mathematics Orchard Software and the NCTM Principles and Standards for School Mathematics. 2–10. siboneylg.com › docs › NCTMPrinciplesStandardsPositionPaper

Li, Y., and Smith, D. (2007). Prospective Middle School Teachers’ Knowledge in Mathematics and Pedagogy for Teaching - the Case of Fraction Division. In H.-J. Woo, H.-C. Lew, K.-S. Park, and D.-Y. Seo (eds.), Pme 31: Proceedings of the 31St Conference of the International Group for the Psychology of Mathematics Education, Vol 3 (Vol. 3, pp. 185–192). The Korea Society of EducationalStudies in Mathematics. https://eric.ed.gov/?id=ED499419

Liu, C., Xin, Z., and Li, X. (2011). The Development of Chinese Students’ Understanding of the Concept of Fractions from Fifth to Eighth Grade. Journal of Mathematics Education, 4(2), 17–34. http://educationforatoz.com/images/Liu_Xin_Li.pdf

Merriam, S. B. E. J. T. (2016). Qualitative Research (Fourth (ed.)). Jossey-Bass. https://www.ptonline.-com/articles/how-to-get-better-mfi-results

Molefe, L., Stears, M., and Hobden, S. (2016). Exploring student teachers’ views of science process skills in their initial teacher education programmes. South African Journal of Education, 36(3), 1–12. https://doi.org/10.15700/saje.v36n3a1279

Morge, S. P. (2012). Family Connections Helping Children Understand Fraction Concepts Using Various Contexts and Interpretations. Childhood Education, 87(4), 282–284. https://doi.-org/10.1080/00094056.2011.10523193

Naiser, E. A., Wright, W. E., and Capraro, R. M. (2004). Teaching Fractions: Strategies Used for Teaching Fractions to Middle Grades Students. Journal of Research in Childhood Educations, 18(3), 193–198. https://doi.org/10.1080/02568540409595034

Nizar, A., Jember, U. M., Lukito, A., Amin, S. M., and Surabaya, U. N. (2017). A Learning Trajectory of Indonesian 12-years Old Students Understanding of Division of Fractions Faculty of Mathematics and Natural Science, Surabaya State U. Southeast Asian Mathematics Education Journal, 7(2), 41–52. https://www.researchgate.net/publication/322701143_A_Learning_T-rajectory_of_Indonesian_12-years_Old_Students_Understanding_of_Division_of_Fractions

Özsoy, G. (2018). Pre-service teachers’ use of visual representations. International Electronic Journal of Elementary Education, 11(1), 49–54. https://doi.org/10.26822/IEJEE.2018143960

Saleh, M. (2013). Meningkatkan Pemahaman Siswa tentang Konsep Pecahan melalui Benda Manipulatif. Jurnal Serambi Ilmu, 14(2), 119–124. https://doi.org/http://dx.doi.org/10.3267-2/si.v17i2.544

Saleh, M., Darhim, D., and Sabandar, J. (2017). The Enhancement of Problem Solving Ability Through Realistic Mathematics Education Approach. International Journal of Education and Research, 5(5), 159–168. http://www.ijern.com/May-2017.php

Saleh, M., Isa, M., Murni, Darhim, and Irianto, A. B. (2019). Students’ Error Types and Reasoning Ability Achievement Using the Indonesian Realistic Mathematics Education Approach. International Journal of Scientific & Technology Research, 8(07), 364–369.

Saleh, M., Prahmana, R. C. I., Isa, M., and Murni. (2018). Improving the reasoning ability of elementary school student [sic] through the Indonesian realistic mathematics education. Journal on Mathematics Education, 9(1), 41–53. https://doi.org/10.22342/jme.9.1.504

Sevinc, S., and Lesh, R. (2022). Pre-Service Mathematics Teachers’ Web of Knowledge Recalled for Mathematically Rich and Contextually Realistic Problems. European Journal of Science and Mathematics Education, 10(4), 471–494. https://doi.org/10.30935/SCIMATH/12250

Sumirattana, S., Makanong, A., and Thipkong, S. (2017). Using realistic mathematics education and the DAPIC problem-solving process to enhance secondary school students’ mathematical literacy. Kasetsart Journal of Social Sciences, 38(3), 307–315. https://doi.org/10.1016/j.kjss.-2016.06.001

Swanson, D., and Williams, J. (2014). Making abstract mathematics concrete in and out of school. Educational Studies in Mathematics, 86(2), 193–209. https://doi.org/10.1007/s10649-014-9536-4

Test, David W., and Michael F. Ellis. (2005). The Effects of LAP Fractions on Addition and Subtraction of Fraction with Students with Mild Disabilities (pp. 11–24). West Virginia University Press. http://www.jstor.org/stable/42899825

Tomljenović, Z. (2020). The cognitive aspect of interactive learning and teaching in visual arts education. Journal of Elementary Education, 13(2), 131–152. https://doi.org/10.18690/r-ei.13.2.131-152.2020

Wahyu, K., Amin, S. M., and Lukito, A. (2017). Motivation Cards to Support Students’ Understanding on Fraction Division. International Journal on Emerging Mathematics Education, 1(1), 99–120. https://doi.org/10.12928/ijeme.v1i1.5760

Zhang, D., Stecker, P., and Beqiri, K. (2017). Strategies Students with and without Mathematics Disabilities Use When Estimating Fractions on Number Lines. Learning Disability Quarterly, 40(4), 225–236. https://doi.org/10.1177/0731948717704966

Objavljeno
2024-12-23
Kako citirati
Muhamad Saleh, Bansu Irianto Ansari, Murni, Manovri Yeni, Abubakar, Anwar, Muhammad Isa, & Roslina. (2024). Tablica z ulomki kot učinkovita podpora učencem za razvijanje konkretnega mišljenja pri usvajanju koncepta ulomka. Revija Za Elementarno izobraževanje, 17(4), 369-383. https://doi.org/10.18690/rei.2604