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http://dx.doi.org/10.7468/jksmec.2019.22.1.65

A Study on Multiplication Expression Method by Visual Model  

Kim, Juchang (Graduate School of Korea National University of Education)
Lee, Kwnagho (Korea National University of Education)
Publication Information
Education of Primary School Mathematics / v.22, no.1, 2019 , pp. 65-82 More about this Journal
Abstract
In this study, students' multiplication expression method according to visual model was analyzed through paper test and eye tracking test. As a result of the paper-pencil test, students were presented with multiplication formula. In the group model (number of individual pieces in a group) ${\times}$ (number of group) in the array model (column) ${\times}$ (row), but in the array model, the proportion of students who answered the multiplication formula in the (row) ${\times}$ (column). From these results, we derived the appropriate model presentation method for multiplication instruction and the multiplication expression method for visual model.
Keywords
Visual model; Multiplication formula; Multiplication Expression;
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1 Kim, S. G. (2008). An Analysis on Multiplication inElementary School Mathematics Textbooks. Seoul National University of Education, Master Thesis.
2 Kim, H, Cho, Y.M. & Joung Y. J. (2016). The Comparative Study on Teaching of Multiplication Tables in South Korea, China, Japan, Singapore. Journal of Elementary Mathematics Education in Korea, 20(3), 407-430.
3 Ministry of Education (1995). Mathematics 2-1. Chungnam: National Textbooks Co., Ltd.
4 Ministry of Education (2010). Mathematics 3-2. seoul: Cheonjae Education.
5 Ministry of Education (2013). Mathematics 2-2. seoul: Cheonjae Education.
6 Ministry of Education (2014). Mathematics 3-2. seoul: Cheonjae Education.
7 Ministry of Education (2017a). Mathematics 2-1. seoul: Cheonjae Education.
8 Ministry of Education (2017b). Mathematics workbook 2-1. seoul: Cheonjae Education.
9 Ministry of Education (2017b). Mathematics workbook 2-2. seoul: Cheonjae Education.
10 Ministry of Education (2017c). Mathematics teacher guidebook 2-1. seoul: Cheonjae Education.
11 Ministry of Education (2018a). Mathematics workbook 2-1. seoul: Cheonjae Education.
12 Ministry of Education (2018b). Mathematics 2-1. seoul: Cheonjae Education.
13 Ministry of Education (1995). arithmetic 2-1. seoul: Korean Bookstore Book Co., Ltd.
14 Ministry of Education (1966a). arithmetic 2-1. seoul: National Textbooks Co., Ltd.
15 Ministry of Education (1966b). arithmetic 3-1. seoul: National Textbooks Co., Ltd.
16 Ministry of Education (1966c). arithmetic 3-2. seoul: National Textbooks Co., Ltd.
17 Ministry of Education (1979). arithmetic 2-2. seoul: National Textbooks Co., Ltd.
18 Ministry of Education (1982). arithmetic 3-2. seoul: National Textbooks Co., Ltd.
19 Joung, Y. J., Cho, Y. M. (2012). Comparative Research on Teaching and Learning of Algorithm of Natural number Multiplication - Focused on the Elementary Textbooks of South Korea, USA, Singapore, and Japan. Journal of Educational Research in Mathematics, 22(2), 293-309.
20 Chong, Y. O. (2013). Teaching Multiplication with Whole Numbers in Elementary School Mathematics -Focusing on the Introduction of the Concept of Multiplication and Multiplication Facts-. School Mathematics, 15(4),889-920.
21 Barmby, P., Harries, T., Higgins, S., & Suggate, J. (2009). The array representation and primary children's understanding and reasoning in multiplication. Educational studies in mathematics, 70(3), 217-241.   DOI
22 Marshall Cavendish Education (2013b). Shaping maths coursebook 2B. Singapore: Marshall Cavendish Education.
23 Blanton, M., Levi, L., Crites, T., Dougherty, B., & Zbiek, R. M. (2011). Developing Essential Understanding of Algebraic Thinking for Teaching Mathematics in Grades 3-5. Series in Essential Understandings. National Council of Teachers of Mathematics.
24 Hacmillan/McGraw-Hill (2009). Math Connects(3). Columbus: Hacmillan/McGraw-Hill.
25 Marshall Cavendish Education (2013a). Shaping maths coursebook 1B. Singapore: Marshall Cavendish Education.
26 Reys, R. E., Lindquist, M., Lambdin, D. V., & Smith, N. L. (2009). Helping children learn mathematics (9th ed.). Hoboken, NJ: John Wiley & Sons. 박성선, 김민경, 방정숙, 권점례 역(2017). 초등교사를 위한 수학과 교수법. 서울: 경문사.
27 Singapore Math (2005a). Primary Mathematics 3A. Singapore: Marshall Cavendish Education.
28 Lee, M. J. & Lee, K. H. (2015). Elementary Students Formation of Relational Thinking about Equation - Centered for Web-Based Balance -. School Mathematics 17(3), 391-405.
29 Singapore Math (2005b). Primary Mathematics 4A. Singapore: Marshall Cavendish Education.
30 Wright Group (2007). Everyday mathematics reference book. Chicago: Wright Group.
31 Tokyo Syoseki (2011). New arithmetic number 3 - up. Tokyo: Tokyo citizen.
32 Tokyo Syoseki (2013). New arithmetic number 2 - down. Tokyo: Tokyo citizen.