Exploring Teachers' Perceptions of Number Concepts and Arithmetic Operations in Elementary Education
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References
Ainsworth, S. (2006). DeFT: A Conceptual Framework for Considering Learning with Multiple Representations. Learning and Instruction, 16(3), 183-198.
Anghileri, J. (2005). Children's Mathematical Thinking in Primary Years. Bloomsbury Publishing.
Ball, D. L, Hill, H. C., & Bass, H. (2005). Knowing mathematics for teaching: Who knows mathematics well enough to teach third grade, and how can we decide? American Educator, 29(1), 14-46. https://doi.org/10.1016/j.learninstruc.2006.03.001
Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content Knowledge for Teaching: What Makes It Special? Journal of Teacher Education, 59, 389-407. http://dx.doi.org/10.1177/0022487108324554
Behr, M. J., Lesh, R., Post, T. R., & Silver, E. A. (1983). Rational-Number Concepts. In R. Lesh & M. Landau (Eds.), Acquisition of Mathematics Concepts and Processes (pp. 91-126). New York, NY: Academic Press.
Bittinger, M. L., Beecher, J. A., Ellenbogen, D., & Penna, J. (2017). Elementary and Intermediate Algebra: Concepts and Applications. Pearson.
Chin, K.E., & Pierce, R. (2019). University Students’ Conceptions of Mathematical Symbols and Expressions. EURASIA Journal of Mathematics, Science and Technology Education, 15(9), 1-12, https://doi.org/10.29333/ejmste/103736.
Cuff, C. (1993). Beyond the formula-mathematics education for prospective elementary school teachers. Education, 114(4), 221-223.
Der-Ching, Y., & Hung-Jin, J. (2019). The Study of Primary School Teachers’ Performance on Number Sense. International Journal of Information and Education Technology, 9(5), 342-349. doi: 10.18178/ijiet.2019.9.5.1224
Douglas, H., Headley, M.G., Hadden, S., LeFevre, J.-A. (2020). Knowledge of Mathematical Symbols Goes Beyond Numbers. Journal of Numerical Cognition, 6(3), 322–354, https://doi.org/10.5964/jnc.v6i3.293
Fuson, K. C. (1992). Research on whole number addition and subtraction. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics, 243–275. Macmillan Publishing Co, Inc.
Goldin, G. A., & Kaput, J. J. (1996). A Joint Perspective on the Idea of Representation in Learning and Doing Mathematics. In L. P. Steffe, P.
Nesher, P. Cobb, G. A. Goldin, & B. Greer (Eds.), Theories of Mathematical Learning (pp. 397-430). Lawrence Erlbaum Associates.
Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of Teachers' Mathematical Knowledge for Teaching on Student Achievement. American Educational Research Journal, 42(2), 371–406. https://doi.org/10.3102/00028312042002371
Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding It Up: Helping Children Learn Mathematics. National Academy Press.
Larson, R., & Edwards, B. H. (2015). Elementary Linear Algebra. Cengage Learning.
Ma, L. (2020). Knowing and Teaching Elementary Mathematics: Teachers' Understanding of Fundamental Mathematics in China and the United States. Routledge.
Mulligan, J., & Mitchelmore, M. (2009). Awareness of pattern and structure in early mathematical development. Math Ed Res J 21, 33–49. https://doi.org/10.1007/BF03217544
National Council of Teachers of Mathematics (NCTM). (2010). Why is Teaching with Problem Solving Important to Student Learning?. Reston, VA: NCTM.
Onal, H. (2023). Primary School Students' Understanding of Four Operation Symbols (+, −, x, ÷, =) and Using Them in Arithmetic Operations and Word Problems. Mathematics Teaching Research Journal, 5(1), 152-173.
Pape, S. J., & Tchoshanov, M. A. (2001). The Role of Representation(s) in Developing Mathematical Understanding. Theory into Practice, 40(2), 118-127. https://doi.org/10.1207/s15430421tip4002_6
Radford, L. (2000). Signs and meanings in students' emergent algebraic thinking: a semiotic analysis. Educational Studies in Mathematics, 42 (3), 237-268.
Selter, C., Prediger, S., Nuhrenborger, M., Hubmann, S., (2011). Taking away and determining the difference—a longitudinal perspective on two models of subtraction and the inverse relation to addition. Educational Studies in Mathematics 79(3):389-408. DOI:10.1007/s10649-011-9305-6
Suryadi, D. (2019). Landasan filosofis penelitian desain didaktis (DDR). Bandung : Gapura Press.
Tsao, Y. L. (2004). Effects of a problem-solving-based mathematics course on number sense of preservice teachers. Journal of College Teaching & Learning, 1(2), 33-49.
Tsao, Y. L. (2005). The number sense of preservice elementary teachers. College Student Journal, 39(4), 647-679.
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2018). Elementary and Middle School Mathematics: Teaching Developmentally. Pearson Education.
Yang, D. C. (2007). Investigating the strategies used by pre-service teachers in Taiwan when responding to number sense questions. School Science and Mathematics, 107(7), 293-301.
Zazkis, R., & Liljedahl, P. (2008). Teaching Mathematics as Storytelling. Sense Publishers.
DOI: 10.24815/jdm.v12i1.42379
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