Flipped Learning teaching model design and application for the University`s "Linear Algebra"

- Journal title : Communications of Mathematical Education
- Volume 30, Issue 1, 2016, pp.1-22
- Publisher : Korea Society of Mathematical Education
- DOI : 10.7468/jksmee.2016.30.1.1

Title & Authors

Flipped Learning teaching model design and application for the University`s "Linear Algebra"

Park, Kyung-Eun; Lee, Sang-Gu;

Park, Kyung-Eun; Lee, Sang-Gu;

Abstract

We had a full scale of literature survey and case survey of mathematics Flipped Learning class models. The purpose of this study is to design and adopt a Flipped Learning `Linear Algebra` class model that fis our need. We applied our new model to 30 students at S University. Then we analyzed the activities and performance of students in this course. Our Flipped Learning `Linear Algebra` teaching model is followed in 3 stages : The first stage involved the students viewing an online lecture as homework and participating free question-answer by themselves on Q&A before class, the second stage involved in-class learning which researcher solved the students` Q&A and highlighted the main ideas through the Point-Lecture, the third stage involved the students participating more advanced topic by themselves on Q&A and researcher (or peers) finalizing students` Q&A. According to the survey, the teaching model made a certain contribution not only to increase students` participation and interest, but also to improve their communication skill and self-directed learning skill in all classes and online. We used the Purposive Sampling from the obtained data. For the research`s validity and reliability, we used the Content Validity and the Alternate-Form Method. We found several meaningful output from this analysis.

Keywords

Flipped learning;Linear Algebra;Collage mathematics education;

Language

Korean

Cited by

References

1.

김남익.전보애.최정임 (2014). 대학에서의 거꾸로 학습(Flipped learning) 사례 설계 및 효과성 연구 : 학습동기와 자아효능감을 중심으로. 교육공학연구, 30(3), 467-492. (Kim, N.I., Chun, B.E. & Choi, J.I. (2014). A case study of Flipped Learning at College : Focused on Effects of Motivation and Self-efficacy. Journal of Educational Technology, 30(3), 467-492.)

2.

김백희.김병흥 (2014). 플립드러닝(Flipped Learning)을 기반으로 한 역할 교체식 토의 수업 방안 연구. 우리말연구, 37, 141-166. (Kim, B.H. & Kim, B.H. (2014). Korean language culture and discussion class-'Role-exchange discussion class based on flipped learning'. Korean Language Research, 37, 141-166.)

3.

김양수 (2012.02.13). "KAIST 개혁 지속 ...온라인 수업 '에듀케이션 3.0' 도입". 뉴시스 http://www.newsis.com/article/view.htm?cID=&ar_id=NISX20120213_0010461836. (Kim, Y.S. (2012.02.13.). KAIST continues renovation...Introduction of Online courses 'Education 3.0'. Retrieved from Newsis.)

4.

엄우용 (2014). 플립드 클래스룸이란 무엇인가?. 서울과학교육, 12, 28-31. (Eom, W.Y. (2014). What is flipped classroom?, Journal of Seoul Science Education, 12, 28-31.)

5.

이상구.김덕선.고래영.박지영 (2009). 모바일 환경에서의 Sage-Math의 개발과 선형대수학에서의 활용. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 23(4), 483-506. (Lee, S.-G., Kim, D.S., Ko, R.Y. & Bak, J.Y. (2009). Development of Mobile Sage-math and its use in Linear Algebra. Communications of Mathematical Education, 23(4), 483-506.)

6.

이상구.이재화.함윤미 (2012). 초기 선형대수학의 역사. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 26(4), 351-362. (Lee, S.-G., Lee, J.H. & Ham, Y. (2012). Early History of Linear algebra. Communications of Mathematical Education, 26(4), 351-362.)

7.

이상구.김경원 (2013). 모바일 선형대수학 스마트폰 콘텐츠 개발과 활용. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 27(2), 121-134. (Lee, S.-G. & Kim, K.W. (2013). Development of smart-phone contents for mobile linear algebra. Communications of Mathematical Education, 27(2), 121-134.)

8.

이상구.김경원.이재화 (2013). 행렬계산기와 선형대수학 Sage 콘텐츠. <한국수학 논문집>, 20(4), 503-521. (Lee, S-.G., Kim, K.W. & Lee, J.H. (2013). Sage matrix calculator and full Sage contents for linear algebra. Korean Journal of Mathematics, 20(4), 503-521.)

9.

이상구.김경원.장지은 (2013). Sage와 GeoGebra를 이용한 선형대수학 개념의 Visual-Dynamic 자료 개발과 활용. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 27(1), 1-17. (Lee, S.-G., Jang, J.E. & Kim, K.W. (2013). Visualization of Linear Algebra concepts with Sage and GeoGebra. Communications of Mathematical Education, 27(1), 1-17.)

10.

이상구.박경은 (2015). '컴퓨팅 사고력 (Computational thinking)' 향상과 Sage 도구를 이용한 수학교육. 한국수학교육학회지 시리즈 E <수학교육 논문집>, 29(1), 19-33. (Lee, S.-G. & Park, K.E. (2015). 'Improving Computational Thinking Abilities Through the Teaching of Mathematics with Sage'. Communications of Mathematical Education, 29(1), 19-33.)

11.

이지연.김영환.김영배 (2014). 학습자 중심 플립드러닝(Flipped Learning) 수업의 적용 사례. 교육공학연구, 30(2), 163-191. (Lee, J.Y., Kim, Y.H. & Kim, Y.B. (2014). A study on application of learner-centered flipped learning model. Journal of Educational Technology, 30(2), 163-191.)

12.

임철일.김선영.이지현.김현수.한형종 (2014). 대학에서의 역전학습 설계 및 적용 사례 비교 연구. 2014 한국교육공학회 춘계학술대회 자료집, 396-406. (Lim, C.I., Kim, S.Y., Lee, J.H., Kim, H.S., & Han, H.J. (2004). A comparison study of development and application of inverted learning in collegiate courses. Proceedings of the 2014 Spring Conference of Korean Society Of Educational Technology, Seoul, Korea, 396-406.)

13.

Bates, S. & Galloway, R. (2012). The inverted classroom in a large enrolment introductory physics course: A case study. In proceedings of the Higher Education Academy STEM conference, London: UK. Retrieved from http://www.heacademy.ac.uk/assets/documents/stem-conference/PhysicalSciences/Simon_Bates_Ross_Galloway.pdf

14.

Bergmann, J., Overmyer, J., & Wilie, B. (2012). The flipped class: Myths versus reality. The Daily Riff-Be Smarter. About Education.

15.

Bergmann, J. & Sams, A. (2012). Flip your classroom: Reach every student in every class every day. Oregon: ISTE.

16.

Davies, R.S., Dean, D.L., & Ball, N. (2013). Flipping the classroom and instructional technology integration in a college-level information systems spreadsheet course. Educational Technology Research & Development, 61, 563-580.

17.

EDUCAUSE (2012). Things you should know about flipped classrooms. https://net.educause.edu/ir/library/pdf/ELI7081.pdf

18.

Enfield, J. (2013). Looking at the impact of the flipped classroom model of instruction on undergraduate multimedia students at CSUN. TechTrends, 5(6), 14-27.

19.

Hamdan, N., Mcknight, P., Mcknight, K., & Arfstrom, K.M. (2013). The flipped learning model: A white paper based on the literature review titled a review of flipped learning. Retrieved October 2, 2014 from http://researchnetwork.pearson.com/ wp-content/uploads/WhitePaper_FlippedLearning.pdf.

20.

Herreid, C.F. & Schiller, N.A. (2013). Case studies and the flipped classroom. Journal of College Science Teaching, 42(5), 62-66.

21.

Hertz, M. (2012). The flipped classroom: Pro and con. Retrieved July, 4, 2014, from http://www.edutopia.org/blog/flipped-classroom-pro-and-con-mary-beth-hertz.

22.

Lee, S.-G. & Kim, D.S. (2009). MathML and JAVA Implementation in Linear Algebra. The Electronic Journal of Mathematics and Technology, 3(1), 1-11.