1 |
Ko, J. S., Choi, J. H., Lee., S. E. & Park, K. S. (2016). An analysis on aspects of equalities with monomial left-hand side presented in Korean elementary school mathematics textbooks. Journal of Elementary Mathematics Education in Korea, 20(4), 583-599.
|
2 |
Ministry of Education (2018a). Elementary school mathematics 1-2. Chunjae Education(Inc.).
|
3 |
Ministry of Education (2018b). Elementary school mathematics 2-2. Chunjae Education(Inc.).
|
4 |
Ministry of Education (2018c). Elementary school mathematics 3-2. Chunjae Education(Inc.).
|
5 |
Ministry of Education (2018d). Elementary school mathematics 4-2. Chunjae Education(Inc.).
|
6 |
Ministry of Education (2019a). Elementary school mathematics 1-1. Chunjae Education(Inc.).
|
7 |
Ministry of Education (2019b). Elementary school mathematics 2-1. Chunjae Education(Inc.).
|
8 |
Ministry of Education (2019c). Elementary school mathematics 3-1. Chunjae Education(Inc.).
|
9 |
Ministry of Education (2019d). Elementary school mathematics 4-1. Chunjae Education(Inc.).
|
10 |
Ministry of Education (2019e). Elementary school mathematics 5-1. Chunjae Education(Inc.).
|
11 |
Ministry of Education (2019f). Elementary school mathematics 5-2. Chunjae Education(Inc.).
|
12 |
Ministry of Education (2019g). Elementary school mathematics 6-1. Chunjae Education(Inc.).
|
13 |
Ministry of Education (2019h). Elementary school mathematics 6-2. Chunjae Education(Inc.).
|
14 |
Ministry of Education (2019i). Teacher's guide for elementary school mathematics 5-2. Chunjae Education (Inc.).
|
15 |
Ki, J. & Chong, Y. O. (2008). The analysis of elementary students' understanding of the concept of equality sign in contexts and the effects of its teaching methods. School Mathematics, 10(4), 537-555.
|
16 |
Kim, J., Pang, J. & Choi, J. (2016). An analysis of elementary students' understanding of the equal sign by using rasch model, J. of Korean Soc. Math. Ed. Ser. A: The Mathematics Education, 55(1), 1-19.
|
17 |
Kim, J., Choi, J. & Pang, J. (2016). How do elementary school students understand '='? -Performance on various item types-, Journal of Educational Research in Mathematics, 26(1), 79-101.
|
18 |
Paek, D. H. (2017). A note on the use of properties of operations and the equal sign in elementary school mathematics, Journal of Elementary Mathematics Education in Korea, 21(4), 643-662.
|
19 |
Lee, C. H. & Kim, S. H. (2003). The analysis of the concept of equal symbol and the investigation of the students' understanding of it, Journal of Educational Research in Mathematics, 13(3), 287-307.
|
20 |
Lee, J. (2018). A critical consideration on the use of equal sign in , School Mathematics, 20(1), 209-225.
DOI
|
21 |
Yim, J. (2013). Discrepancy between reading and writing equality number sentences in Korean language. Journal of Elementary Mathematics Education in Korea, 17(2), 207-223.
|
22 |
Altieri, M. B., Balka, D. S. Day, R., Gonsalves, P. D., Grace, E. C., Krulik, S. et al. (2009a). Math connects. Grade K-1, Macmillan/ McGraw-Hill.
|
23 |
Bloch, E. D.(2000). Proofs and Fundamentals A first course in abstract mathematics. Birkhauser.
|
24 |
Altieri, M. B., Balka, D. S. Day, R., Gonsalves, P. D., Grace, E. C., Krulik, S. et al. (2009b). Math connects. Grade 1-1, Macmillan/ McGraw-Hill.
|
25 |
Altieri, M. B., Balka, D. S. Day, R., Gonsalves, P. D., Grace, E. C., Krulik, S. et al. (2009c). Math connects. Grade 1-2, Macmillan/ McGraw-Hill.
|
26 |
Altieri, M. B., Balka, D. S. Day, R., Gonsalves, P. D., Grace, E. C., Krulik, S. et al. (2009d). Math connects. Grade 2-1, Macmillan/ McGraw-Hill.
|
27 |
Carpenter, T. P., Franke, M. L. & Levi, S. (2003). Thinking mathematically: Integrating arithmetic and algebra in elementary school. Heinemann.
|
28 |
Falkner, K. P., Levi, L., & Carpenter, T. P. (1999). Children's understanding of equality: A foundation for algebra. Teaching Children Mathematics, 6(4), 232-236.
DOI
|
29 |
Jones, I., Inglis, M., Gilmore, C., & Evans, R. (2013). Teaching the substitutive conception of the equals sign. Research in Mathematics Education 15(1), 34-49.
DOI
|
30 |
McNeil, N. M. (2004). You'll see what you mean: Students encode equations based on their knowledge of arithmetic. Cognitive Science, 283 (3), 451-466.
|
31 |
Molina, M. & Ambrose, R. (2008). From an operational to a relational conception of the equal sign. Third graders' developing algebraic thinking. Focus on Learning Problems in Mathematics, 30(1), 61-80.
|
32 |
Norwood, K. S., Roby, T., Mendoza Epperson, J. A. Dixon, J. K., Scheer, J. K., Wright, D. G. et al. (2009). HSP math grade 1. Harcourt School Publishers.
|
33 |
Reys, R., Lindquist, M., Lambdin, D., & Smith, N. (2015). Helping children learn mathematics. Wiley.
|
34 |
Yim, J. (2019). Meaning of the expression a : b = c : d and implications for teaching, Journal of Elementary Mathematics Education in Korea, 23(3), 273-288.
|
35 |
Rittle-Johnson, B., Matthews, P. G., Taylor, R. S., & McEldoon, K. L. (2011). Assessing knowledge of mathematical equivalence: A construct-modeling approach. Journal of Educational Psychology, 103, 85-104.
DOI
|
36 |
Saenz-Ludlow, A. & Walgamuth, C. (1998). Third graders' interpretations of equality and the equal symbol, Educational Studies in Mathematics 35, 153-187.
DOI
|
37 |
Stephens, A. C., Knuth, E. J., Blanton, M. L., Isler, L., Gardiner, A. M., & Marum, T. (2013). Equation structure and the meaning of the equal sign: The impact of task selection in eliciting elementary students' understanding. The Journal of Mathematical Behavior, 32(2), 173-182.
DOI
|