Browse > Article
http://dx.doi.org/10.14477/jhm.2021.34.4.117

Reconsideration of the Teaching Contents and Methods of the Unit Fraction  

Lee, Daehyun (Dept. of Math. Edu., Gwangju National Univ. of Edu.)
Publication Information
Journal for History of Mathematics / v.34, no.4, 2021 , pp. 117-136 More about this Journal
Abstract
The unit fraction is the basis of the fraction concept and has a role of starting point for understanding the fraction concept. In this study, in terms of the importance of the unit fraction, the teaching methods of the fraction based on the unit fraction were explored. First, it was examined the emerging contexts of the fraction concept and the diversity of its meanings. Second, it was investigated the contents of the unit fraction in Korean and CCSSM's curriculum and textbooks. Lastly, I suggested the teaching methods using the unit fraction in terms of the introduction of fraction, fractional operations, and teaching of problem solving based on the unit fraction.
Keywords
Unit Fraction; Fraction; Textbook; Curriculum;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Ministry of Education and Science Technology, Mathematics Curriculum, Announcement of Ministry of Education and Science Technology No. 2011-361, Ministry of Education and Science Technology, 2011.
2 Lew Hee-chan, Shin Jun-shik, Teaching method of fraction based on the realistic approach, Journal of the Korea Society of Educational Studies in Mathematics 5(2) (1995), 201-214.
3 Ministry of Education and Human Resources Development, Mathematics 3-Na, Seoul: Cheonjakyoyook, Co., 2005.
4 Ministry of Education and Human Resources Development, Mathematics Curriculum, Announcement of Ministry of Education and Science Technology No. 2007-79, Ministry of Education and Human Resources Development, 2011.
5 Ministry of Education and Science Technology, Mathematics 3-1, Seoul: Doosandonga, Inc., 2012.
6 Ministry of Education, Mathematics Curriculum, Announcement of Ministry of Education No. 1997-15, Ministry of Education.
7 Lee Daehyun, A comparative analysis on the fraction contents of Korean, Japanese, Singaporean, American, and Finnish mathematics textbooks, Education of Primary School Mathematics 21(2) (2018), 111-130.   DOI
8 Ministry of Education, Mathematics 3-1, Seoul: Cheonjakyoyook, Co., 2014a.
9 Ministry of Education, Mathematics 3-1 Teacher's Guide, Seoul: Cheonjakyoyook, Co., 2014b.
10 Ministry of Education, Mathematics 3-1, Seoul: Cheonjakyoyook, Co., 2018.
11 Ministry of Education, Mathematics Curriculum, Announcement of Ministry of Educationy No. 2015-74, Ministry of Education, 2015.
12 Seo Dongyeop, The historico-genetic instruction on fraction, The Journal of Educational Research in Mathematics 15(3) (2005), 233-249.
13 Choi Keunbae, A comparative study of elementary school mathematics textbooks of Korea(2007 Curriculums) and America(Harcourt Math)-focused on the introductions and operations of fractions and decimals-, Journal of Elementary Mathematics Education in Korea 19(1) (2015), 17-37.
14 Deungjeongjaeraang, etc 41, New arithmetic 3(b), Dongkyungseojeok, 2013.
15 J. K. Dixon et al, California Go Math!-3 Common Core, Orlando: Houghton Mifflin Harcourt Publishing Company, 2015a.
16 S. B. Empson, L. Levi, Extending Children's Mathematics-Fraction and Decimal-, NH: Heinemann, 2011.
17 Jeong Eunsil, An educational analysis on fraction concept, School Mathematics 8(2) (2006), 123-138.
18 Kang Heungkyu, A comparative study on didactical aspects of fraction concept and algorithm appeared in the textbook of McLellan, Mic, Korea, The Journal of Educational Research in Mathematics 15(4) (2005), 375-399.
19 Lee Daehyun, An analysis on the contents of fraction in CA-CCSSM and its textbook, Journal of Elementary Mathematics Education in Korea 21(4) (2017), 547-574.
20 L. Filep, The development, and the developing of, the concept of a fraction, https://www.cimt.org.uk/journal/lffract.pdf, (2001).
21 J. K. Dixon et al, California Go Math!-4 Common Core, Orlando: Houghton Mifflin Harcourt Publishing Company, 2015b.
22 The California Department of Education, Mathematics Framework for California Public Schools, The California Department of Education, 2015.