THE INNOVATION OF LEARNING TRAJECTORY ON MULTIPLICATION OPERATIONS FOR RURAL AREA STUDENTS IN INDONESIA
Abstract
Keywords
Full Text:
PDFReferences
Ahmad, N.S.B. (2010). Multiplication and the reference sum method. Procedia-Social and Behavioral Sciences, 8, 72-78. https://doi.org/10.1016/j.sbspro.2010.12.010.
Akker, J.V.D., Gravemeijer, K., McKenney, S., & Nieveen, N. (2006). Education Design Research. London: Routledge Taylor and Francis Group.
bin Syed Ismail, S.A. (2010). Multiplication with the Vedic method. Procedia-Social and Behavioral Sciences, 8, 129-133. https://doi.org/10.1016/j.sbspro.2010.12.018.
Caron, T.A. (2007). Learning multiplication: The easy way. The Clearing House: A Journal of Educational Strategies, Issues and Ideas, 80(6), 278-282. https://doi.org/10.3200/TCHS.80.6.278-282.
Chang, K. E., Sung, Y.T., Chen, Y.L., & Huang, L.H. (2008). Learning multiplication through computer-assisted learning activities. Computers in Hhuman Bbehavior, 24(6), 2904-2916. https://doi.org/10.1016/j.chb.2008.04.015.
Chung, I. (2004). A comparative assessment of constructivist and traditionalist approaches to establishing mathematical connections in learning multiplication. Education, 125(2), 271-279.
Drews, D., Dudgeon, J., Hansen, A., Lawton, F., & Surtees, L. (Eds.). (2005). Children's Errors in Mathematics: Understanding Common Misconceptions in Primary Schools. SAGE.
Freudenthal, H. (1973). Mathematics as an Educational Task. Dordrecht: Kluwer Academic Publishers.
Gravemeijer, K. (2004). Local instructional theories as means of support for teacher in reform mathematics education. Mathematical Thinking and Learning, 6(2), 105-128. https://doi.org/10.1207/s15327833mtl0602_3.
Ischebeck, A., Zamarian, L., Siedentopf, C., Koppelstätter, F., Benke, T., Felber, S., & Delazer, M. (2006). How specifically do we learn? Imaging the learning of multiplication and subtraction. Neuroimage, 30(4), 1365-1375. https://doi.org/10.1016/j.neuroimage.2005.11.016.
Kilian, L., Cahill, E., Ryan, C., Sutherland, D., & Taccetta, D. (1980). Errors that are common in multiplication. The Arithmetic Teacher, 22-25.Kilian, L., Cahill, E., Ryan, C., Sutherland, D., & Taccetta, D. (1980). Errors that are common in multiplication. The Arithmetic Teacher, 27(5), 22-25.
National Council of Teachers of Mathematics (NCTM). (2000). Principles and Standards for School Mathematics. Reston, VA: National Council of Teachers of Mathematics.
Nuari, L.F., Prahmana, R.C.I., & Fatmawati, I. (2019). Learning of division operation for mental retardations' student through Math GASING. Journal on Mathematics Education, 10(1), 127-142. https://doi.org/10.22342/jme.10.1.6913.127-142.
Prahmana, R.C.I. (2013). Designing division operation learning in the mathematics of GASING. Proceeding in The First South East Asia Design/Development Research (SEA-DR) Conference 2013, 391-398.
Prahmana, R.C.I. (2015). The hypothetical learning trajectory on addition in mathematics GASING. Southeast Asian Mathematics Education Journal, 5(1), 49-61.
Prahmana, R.C.I. (2017). Design Research (Teori dan Implementasinya: Suatu Pengantar) [Design Research (Theory and Its Implementation: An Introduction)]. Depok: Rajawali Pers.
Prahmana, R.C.I., & Suwasti, P. (2014). Local instruction theory on division in mathematics GASING. Journal on Mathematics Education, 5(1), 17-26. https://doi.org/10.22342/jme.5.1.1445.17-26.
Prahmana, R. C. I., Zulkardi, & Hartono, Y. (2012). Learning multiplication using Indonesian traditional game in third grade. Journal on Mathematics Education, 3(2), 115-132. https://doi.org/10.22342/jme.3.2.1931.115-132.
Putri, R.I.I., Dolk, M., & Zulkardi. (2015). Professional development of PMRI teachers for introducing social norms. Journal on Mathematics Education, 6(1), 11-19. https://doi.org/10.22342/jme.6.1.1900.11-19.
Revina, S., Zulkardi, Darmawijoyo, & Galen, F. (2011). Spatial visualization tasks to support students' spatial structuring in learning volume measurement. Journal on Mathematics Education, 2(2), 127-146. http://dx.doi.org/10.22342/jme.2.2.745.127-146.
Reys, R.E., Suydam, M.N., Lindquist, M.M., & Smith, N.L. (1998). Helping Children Learn Mathematics. Boston: Allyn and Bacon.
Shanty, N.O., & Wijaya, S. (2012). Rectangular array model supporting students’ spatial structuring in learning multiplication. Journal on Mathematics Education, 3(2), 175-186. http://dx.doi.org/10.22342/jme.3.2.603.175-186.
Surya, Y. (2011). Petunjuk Guru: Dasar-Dasar Pintar Berhitung GASING [Teachers’ Guide: Smart Basics of Counting’s GASING]. Tangerang: PT. Kandel.
Surya, Y., & Moss, M. (2012). Mathematics education in rural Indonesia. Proceeding in the 12th International Congress on Mathematics Education: Topic Study Group 30. Korea National University of Education, Seoul, South Korea Selatan, 6223-6229.
Tanujaya, B., Prahmana, R. C. I., & Mumu, J. (2017). Mathematics instruction, problems, challenges and opportunities: A case study in Manokwari Regency, Indonesia. World Transactions on Engineering and Technology Education, 15(3), 287-291.
Unlu, M., & Ertekin, E. (2012). Why do pre-service teachers pose multiplication problems instead of division problems in fractions?. Procedia-Social and Behavioral Sciences, 46, 490-494. https://doi.org/10.1016/j.sbspro.2012.05.148.
DOI: https://doi.org/10.22342/jme.10.3.9257.397-408
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 4.0 International License.
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139
p-ISSN: 2087-8885 | e-ISSN: 2407-0610
Journal on Mathematics Education (JME) is licensed under a Creative Commons Attribution 4.0 International License.
View My Stats