An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College

Liu Jingli

doi:doi:10.11648/j.pamj.20180706.12

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An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College

Liu Jingli

Published in Pure and Applied Mathematics Journal (Volume 7, Issue 6)

Received: 15 November 2018 Accepted: 8 December 2018 Published: 2 January 2019

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Abstract

In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases have been obtained, and case studies were used with the statistical summarization and analytical generalization methods. From 2009 to 2013, about 531 liberal arts freshmen in statistical course completed a total of 90 mathematics survey reports containing the university campus life (58 cases), professional related research (21 cases), social issues (11 cases) and so on. From 2014 to 2018, liberal arts students completed 115 mathematics application cases in Applied Probability and Statistics class which can be divided into 3 categories according to the degree of innovation: using mathematical knowledge to solve problems (79 cases), empirical survey (14 cases) and literature analysis (22 cases). The case topics selected by liberal arts students are all related to their own interests, and the innovative uses are for the vast majority. Conclusion: (i) writing a mathematics survey report is an appropriate way for students to apply mathematics; (ii) mathematics application is the fusion of interest and knowledge in probability and statistical area for liberal arts undergraduate students; (iii) the development process of mathematics application cases can demonstrate innovative thinking and application ability for liberal arts undergraduate students.

Published in	Pure and Applied Mathematics Journal (Volume 7, Issue 6)
DOI	10.11648/j.pamj.20180706.12
Page(s)	88-94
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Mathematics Teaching in Liberal Arts College, Mathematical Case Development, Liberal Arts Undergraduate Students, Learning Interests

References

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[2]	Liu Jing-li (2016), “Advanced Mathematics for Liberal Arts (Edition 2)”. Beijing: Beijing Normal University Press.
[3]	Hand, D. J. (2014). “The improbability principle: why coincidences, miracles, and rare events happen every day”. Scientific American/Farrar, Straus and Giroux.
[4]	Rosenthal, J. S. (2006). “Struck By Lightning: The Curious World of Probabilities.” National Academies Press.
[5]	Olofsson, P. (2015). “Probabilities: the little numbers that rule our lives”. John Wiley & Sons.
[6]	David S. Moore, Williaml. Notz. (2014). “Statistics: Concepts and Controversies 8th Edition”. Worth Publishers.
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[8]	Yan Xiao-feng. (1999). “Knowledge and Innovation”. Seeking Truth, 6, 38-42.
[9]	Fan Zhi-ping, LI Shen-jie. (2006). “Connotation of Knowledge Creation and Knowledge Innovation and Relation Between Them”. Journal of Northeastern University (Social Science). 2, 102-105.
[10]	Ministry of Education of the People’s Republic of China. (2010). “National Medium- and Long-Term Education Reform and Development (2010-2020)”.
[11]	Zhang-qiong. (2016). “Knowledge Applying and Cultivation of Innovation Ability——On Professional Curriculum Reform in University”. Journal of Higher Education. 3, 62-67.
[12]	Ernest Pascarella. (2010). “How Effective Are the NSSE Benchmarks in Predicting Important Educational Outcomes?”. Change, January/February, 16-22.
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[14]	Jennifer A. Fredricks, Phyllis C. Blumenfeld and Alison H. Paris (2004). “School Engagement: Potential of the Concept, State of the Evidence”. Review of Educational Research, 74 (1): 60.
[15]	Yin, R. K. (2009). “Case study research: Design and methods (applied social research methods)”. London and Singapore: Sage.

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Liu Jingli. (2019). An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure and Applied Mathematics Journal, 7(6), 88-94. https://doi.org/10.11648/j.pamj.20180706.12

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Liu Jingli. An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure Appl. Math. J. 2019, 7(6), 88-94. doi: 10.11648/j.pamj.20180706.12

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Liu Jingli. An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure Appl Math J. 2019;7(6):88-94. doi: 10.11648/j.pamj.20180706.12

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@article{10.11648/j.pamj.20180706.12,
  author = {Liu Jingli},
  title = {An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College},
  journal = {Pure and Applied Mathematics Journal},
  volume = {7},
  number = {6},
  pages = {88-94},
  doi = {10.11648/j.pamj.20180706.12},
  url = {https://doi.org/10.11648/j.pamj.20180706.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20180706.12},
  abstract = {In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases have been obtained, and case studies were used with the statistical summarization and analytical generalization methods. From 2009 to 2013, about 531 liberal arts freshmen in statistical course completed a total of 90 mathematics survey reports containing the university campus life (58 cases), professional related research (21 cases), social issues (11 cases) and so on. From 2014 to 2018, liberal arts students completed 115 mathematics application cases in Applied Probability and Statistics class which can be divided into 3 categories according to the degree of innovation: using mathematical knowledge to solve problems (79 cases), empirical survey (14 cases) and literature analysis (22 cases). The case topics selected by liberal arts students are all related to their own interests, and the innovative uses are for the vast majority. Conclusion: (i) writing a mathematics survey report is an appropriate way for students to apply mathematics; (ii) mathematics application is the fusion of interest and knowledge in probability and statistical area for liberal arts undergraduate students; (iii) the development process of mathematics application cases can demonstrate innovative thinking and application ability for liberal arts undergraduate students.},
 year = {2019}
}

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TY  - JOUR
T1  - An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College
AU  - Liu Jingli
Y1  - 2019/01/02
PY  - 2019
N1  - https://doi.org/10.11648/j.pamj.20180706.12
DO  - 10.11648/j.pamj.20180706.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 88
EP  - 94
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20180706.12
AB  - In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases have been obtained, and case studies were used with the statistical summarization and analytical generalization methods. From 2009 to 2013, about 531 liberal arts freshmen in statistical course completed a total of 90 mathematics survey reports containing the university campus life (58 cases), professional related research (21 cases), social issues (11 cases) and so on. From 2014 to 2018, liberal arts students completed 115 mathematics application cases in Applied Probability and Statistics class which can be divided into 3 categories according to the degree of innovation: using mathematical knowledge to solve problems (79 cases), empirical survey (14 cases) and literature analysis (22 cases). The case topics selected by liberal arts students are all related to their own interests, and the innovative uses are for the vast majority. Conclusion: (i) writing a mathematics survey report is an appropriate way for students to apply mathematics; (ii) mathematics application is the fusion of interest and knowledge in probability and statistical area for liberal arts undergraduate students; (iii) the development process of mathematics application cases can demonstrate innovative thinking and application ability for liberal arts undergraduate students.
VL  - 7
IS  - 6
ER  -

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Author Information

Liu Jingli

Faculty of Education, Beijing Normal University, Beijing, China

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APA Style

Liu Jingli. (2019). An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure and Applied Mathematics Journal, 7(6), 88-94. https://doi.org/10.11648/j.pamj.20180706.12

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ACS Style

Liu Jingli. An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure Appl. Math. J. 2019, 7(6), 88-94. doi: 10.11648/j.pamj.20180706.12

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AMA Style

Liu Jingli. An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College. Pure Appl Math J. 2019;7(6):88-94. doi: 10.11648/j.pamj.20180706.12

Copy | Download

@article{10.11648/j.pamj.20180706.12,
  author = {Liu Jingli},
  title = {An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College},
  journal = {Pure and Applied Mathematics Journal},
  volume = {7},
  number = {6},
  pages = {88-94},
  doi = {10.11648/j.pamj.20180706.12},
  url = {https://doi.org/10.11648/j.pamj.20180706.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20180706.12},
  abstract = {In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases have been obtained, and case studies were used with the statistical summarization and analytical generalization methods. From 2009 to 2013, about 531 liberal arts freshmen in statistical course completed a total of 90 mathematics survey reports containing the university campus life (58 cases), professional related research (21 cases), social issues (11 cases) and so on. From 2014 to 2018, liberal arts students completed 115 mathematics application cases in Applied Probability and Statistics class which can be divided into 3 categories according to the degree of innovation: using mathematical knowledge to solve problems (79 cases), empirical survey (14 cases) and literature analysis (22 cases). The case topics selected by liberal arts students are all related to their own interests, and the innovative uses are for the vast majority. Conclusion: (i) writing a mathematics survey report is an appropriate way for students to apply mathematics; (ii) mathematics application is the fusion of interest and knowledge in probability and statistical area for liberal arts undergraduate students; (iii) the development process of mathematics application cases can demonstrate innovative thinking and application ability for liberal arts undergraduate students.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - An Empirical Research on Mathematical Case Development in Mathematical Teaching in Liberal Arts College
AU  - Liu Jingli
Y1  - 2019/01/02
PY  - 2019
N1  - https://doi.org/10.11648/j.pamj.20180706.12
DO  - 10.11648/j.pamj.20180706.12
T2  - Pure and Applied Mathematics Journal
JF  - Pure and Applied Mathematics Journal
JO  - Pure and Applied Mathematics Journal
SP  - 88
EP  - 94
PB  - Science Publishing Group
SN  - 2326-9812
UR  - https://doi.org/10.11648/j.pamj.20180706.12
AB  - In order to explore mathematics learning methods suitable for liberal arts students specially and the educational value of mathematics application cases developed by liberal arts students, an experiment of mathematics application case study was carried out in the first grade liberal arts undergraduate students. 205 mathematics application cases have been obtained, and case studies were used with the statistical summarization and analytical generalization methods. From 2009 to 2013, about 531 liberal arts freshmen in statistical course completed a total of 90 mathematics survey reports containing the university campus life (58 cases), professional related research (21 cases), social issues (11 cases) and so on. From 2014 to 2018, liberal arts students completed 115 mathematics application cases in Applied Probability and Statistics class which can be divided into 3 categories according to the degree of innovation: using mathematical knowledge to solve problems (79 cases), empirical survey (14 cases) and literature analysis (22 cases). The case topics selected by liberal arts students are all related to their own interests, and the innovative uses are for the vast majority. Conclusion: (i) writing a mathematics survey report is an appropriate way for students to apply mathematics; (ii) mathematics application is the fusion of interest and knowledge in probability and statistical area for liberal arts undergraduate students; (iii) the development process of mathematics application cases can demonstrate innovative thinking and application ability for liberal arts undergraduate students.
VL  - 7
IS  - 6
ER  -

Copy | Download