The Role of the Computer in Learning Mathematics Through Numerical Methods

Costică Lupu

doi:doi:10.11648/j.sjedu.20160402.13

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The Role of the Computer in Learning Mathematics Through Numerical Methods

Costică Lupu

Published in Science Journal of Education (Volume 4, Issue 2)

Received: 3 March 2016 Accepted: 10 March 2016 Published: 24 March 2016

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Abstract

The paper exploits the results of an experimental, formative-ameliorative research conducted by 30 3^rd-year students from the Department of Mathematics, Vasile Alecsandri University of Bacău, during their teaching practice at the Ștefan cel Mare National Pedagogical College from Bacău, involving 150 students from 6 11^th-grade classes with a real specialization profile. The research was based on the following hypothesis: if we use numerical methods to solve linear equations systems and to the graphical representation of functions in the instructive-educational process, then we shall enhance the efficiency of these activities and increase the students’ performance by enhancing intrinsic motivation. In order to achieve the objectives, there were presented various techniques for solving linear equations systems and for the graphical representation of functions through numerical methods, followed by the application of sets of tests on the different methods for solving mathematical problems integrated in the various moments of the lesson, either in teaching new content or in consolidating and checking it. The paper highlights the role and values of computer use in learning Mathematics, in the informative as well as formative-educational sense, in agreement with the taught objectives and contents, based on the tendencies of updating and upgrading the school activity, and enhancing its role in preparing students for life. The research objectives were: - knowledge of the students’ (initial) training level as a basis for implementing the experiment; - presentation of the theory on numerical methods; - evaluating the contribution of the methods for solving linear equations systems and the graphical representation of functions through numerical methods to the enhancement of school performance; - recording progress following the application of the progress factor, respectively the various methods for solving linear equations systems and the graphical representation of functions through numerical methods.

Published in	Science Journal of Education (Volume 4, Issue 2)
DOI	10.11648/j.sjedu.20160402.13
Page(s)	32-38
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), 2016. Published by Science Publishing Group

Keywords

Computer, Learning Mathematics, Formative-Ameliorative Research, Numerical Methods

References

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[2]	Frumuşanu G., (2008), Numerical Methods, University " "Lower Danube" Galati.
[3]	Israel Patińo Galván, J. Jesús Ceja Pizano. Teaching Technology Training, an Urgent need for the Incorporation of Information Technologies in Primary Schools in Mexico. International Journal of Elementary Education. Vol. 3, No. 1, 2014, pp. 1-5., doi: 10.11648/j.ijeedu.20140301.11.
[4]	Ibtihal Assaly, Abdul Kareem Igbaria. A Content Analysis of the Reading and Listening Activities in the EFL Textbook of Master Class. Education Journal. Vol. 3, No. 2, 2014, pp. 24-38. doi: 10.11648/j.edu.20140302.11.
[5]	Lupu C., (2015), The Efficiency of Computers with Maple Software in the Teaching and Learning of Plane Geometry , Social Media in Academia: Research and Teaching, Pages: 215-221. http://www.medimond.com/proceedings/moreinfo/20140918_index.pdf
[6]	Lupu C., (2014) The Contribution of the New Technologies to Learning Mathematics, Procedia - Social and Behavioral Sciences, Volume 128, Pages 240-245. http://www.sciencedirect.com/science/article/pii/S1877042814022411
[7]	Lupu, C; Savulescu, D., (2003), Teaching geometry, Publishing House Parallel 45, Pitești.
[8]	Mariș S., Brăescu L., (2007), Numerical methods. Issues seminar and laboratory work, West University of Timisoara, Faculty of Mathematics and Informatics.
[9]	Nechita, E.; Muraru, C.-V.; Talmaciu, M. (2012), A bayesian approach for the assessment of risk probability. Case study for digital risk probability. Environmental Engineering & Management Journal, Vol. 11 Issue 12, p 2249-2255.
[10]	Postolică, V.; Nechita, E.; Lupu, C., (2014), The Romanian Mathematics and Informatics Education, British Journal of Education Society & Behavioural Science, Volume 4, no.2.

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Costică Lupu. (2016). The Role of the Computer in Learning Mathematics Through Numerical Methods. Science Journal of Education, 4(2), 32-38. https://doi.org/10.11648/j.sjedu.20160402.13

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Costică Lupu. The Role of the Computer in Learning Mathematics Through Numerical Methods. Sci. J. Educ. 2016, 4(2), 32-38. doi: 10.11648/j.sjedu.20160402.13

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AMA Style

Costică Lupu. The Role of the Computer in Learning Mathematics Through Numerical Methods. Sci J Educ. 2016;4(2):32-38. doi: 10.11648/j.sjedu.20160402.13

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@article{10.11648/j.sjedu.20160402.13,
  author = {Costică Lupu},
  title = {The Role of the Computer in Learning Mathematics Through Numerical Methods},
  journal = {Science Journal of Education},
  volume = {4},
  number = {2},
  pages = {32-38},
  doi = {10.11648/j.sjedu.20160402.13},
  url = {https://doi.org/10.11648/j.sjedu.20160402.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjedu.20160402.13},
  abstract = {The paper exploits the results of an experimental, formative-ameliorative research conducted by 30 3rd-year students from the Department of Mathematics, Vasile Alecsandri University of Bacău, during their teaching practice at the Ștefan cel Mare National Pedagogical College from Bacău, involving 150 students from 6 11th-grade classes with a real specialization profile. The research was based on the following hypothesis: if we use numerical methods to solve linear equations systems and to the graphical representation of functions in the instructive-educational process, then we shall enhance the efficiency of these activities and increase the students’ performance by enhancing intrinsic motivation. In order to achieve the objectives, there were presented various techniques for solving linear equations systems and for the graphical representation of functions through numerical methods, followed by the application of sets of tests on the different methods for solving mathematical problems integrated in the various moments of the lesson, either in teaching new content or in consolidating and checking it. The paper highlights the role and values of computer use in learning Mathematics, in the informative as well as formative-educational sense, in agreement with the taught objectives and contents, based on the tendencies of updating and upgrading the school activity, and enhancing its role in preparing students for life. The research objectives were: - knowledge of the students’ (initial) training level as a basis for implementing the experiment; - presentation of the theory on numerical methods; - evaluating the contribution of the methods for solving linear equations systems and the graphical representation of functions through numerical methods to the enhancement of school performance; - recording progress following the application of the progress factor, respectively the various methods for solving linear equations systems and the graphical representation of functions through numerical methods.},
 year = {2016}
}

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TY  - JOUR
T1  - The Role of the Computer in Learning Mathematics Through Numerical Methods
AU  - Costică Lupu
Y1  - 2016/03/24
PY  - 2016
N1  - https://doi.org/10.11648/j.sjedu.20160402.13
DO  - 10.11648/j.sjedu.20160402.13
T2  - Science Journal of Education
JF  - Science Journal of Education
JO  - Science Journal of Education
SP  - 32
EP  - 38
PB  - Science Publishing Group
SN  - 2329-0897
UR  - https://doi.org/10.11648/j.sjedu.20160402.13
AB  - The paper exploits the results of an experimental, formative-ameliorative research conducted by 30 3rd-year students from the Department of Mathematics, Vasile Alecsandri University of Bacău, during their teaching practice at the Ștefan cel Mare National Pedagogical College from Bacău, involving 150 students from 6 11th-grade classes with a real specialization profile. The research was based on the following hypothesis: if we use numerical methods to solve linear equations systems and to the graphical representation of functions in the instructive-educational process, then we shall enhance the efficiency of these activities and increase the students’ performance by enhancing intrinsic motivation. In order to achieve the objectives, there were presented various techniques for solving linear equations systems and for the graphical representation of functions through numerical methods, followed by the application of sets of tests on the different methods for solving mathematical problems integrated in the various moments of the lesson, either in teaching new content or in consolidating and checking it. The paper highlights the role and values of computer use in learning Mathematics, in the informative as well as formative-educational sense, in agreement with the taught objectives and contents, based on the tendencies of updating and upgrading the school activity, and enhancing its role in preparing students for life. The research objectives were: - knowledge of the students’ (initial) training level as a basis for implementing the experiment; - presentation of the theory on numerical methods; - evaluating the contribution of the methods for solving linear equations systems and the graphical representation of functions through numerical methods to the enhancement of school performance; - recording progress following the application of the progress factor, respectively the various methods for solving linear equations systems and the graphical representation of functions through numerical methods.
VL  - 4
IS  - 2
ER  -

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APA Style

Costică Lupu. (2016). The Role of the Computer in Learning Mathematics Through Numerical Methods. Science Journal of Education, 4(2), 32-38. https://doi.org/10.11648/j.sjedu.20160402.13

Copy | Download

ACS Style

Costică Lupu. The Role of the Computer in Learning Mathematics Through Numerical Methods. Sci. J. Educ. 2016, 4(2), 32-38. doi: 10.11648/j.sjedu.20160402.13

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AMA Style

Costică Lupu. The Role of the Computer in Learning Mathematics Through Numerical Methods. Sci J Educ. 2016;4(2):32-38. doi: 10.11648/j.sjedu.20160402.13

Copy | Download

@article{10.11648/j.sjedu.20160402.13,
  author = {Costică Lupu},
  title = {The Role of the Computer in Learning Mathematics Through Numerical Methods},
  journal = {Science Journal of Education},
  volume = {4},
  number = {2},
  pages = {32-38},
  doi = {10.11648/j.sjedu.20160402.13},
  url = {https://doi.org/10.11648/j.sjedu.20160402.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sjedu.20160402.13},
  abstract = {The paper exploits the results of an experimental, formative-ameliorative research conducted by 30 3rd-year students from the Department of Mathematics, Vasile Alecsandri University of Bacău, during their teaching practice at the Ștefan cel Mare National Pedagogical College from Bacău, involving 150 students from 6 11th-grade classes with a real specialization profile. The research was based on the following hypothesis: if we use numerical methods to solve linear equations systems and to the graphical representation of functions in the instructive-educational process, then we shall enhance the efficiency of these activities and increase the students’ performance by enhancing intrinsic motivation. In order to achieve the objectives, there were presented various techniques for solving linear equations systems and for the graphical representation of functions through numerical methods, followed by the application of sets of tests on the different methods for solving mathematical problems integrated in the various moments of the lesson, either in teaching new content or in consolidating and checking it. The paper highlights the role and values of computer use in learning Mathematics, in the informative as well as formative-educational sense, in agreement with the taught objectives and contents, based on the tendencies of updating and upgrading the school activity, and enhancing its role in preparing students for life. The research objectives were: - knowledge of the students’ (initial) training level as a basis for implementing the experiment; - presentation of the theory on numerical methods; - evaluating the contribution of the methods for solving linear equations systems and the graphical representation of functions through numerical methods to the enhancement of school performance; - recording progress following the application of the progress factor, respectively the various methods for solving linear equations systems and the graphical representation of functions through numerical methods.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - The Role of the Computer in Learning Mathematics Through Numerical Methods
AU  - Costică Lupu
Y1  - 2016/03/24
PY  - 2016
N1  - https://doi.org/10.11648/j.sjedu.20160402.13
DO  - 10.11648/j.sjedu.20160402.13
T2  - Science Journal of Education
JF  - Science Journal of Education
JO  - Science Journal of Education
SP  - 32
EP  - 38
PB  - Science Publishing Group
SN  - 2329-0897
UR  - https://doi.org/10.11648/j.sjedu.20160402.13
AB  - The paper exploits the results of an experimental, formative-ameliorative research conducted by 30 3rd-year students from the Department of Mathematics, Vasile Alecsandri University of Bacău, during their teaching practice at the Ștefan cel Mare National Pedagogical College from Bacău, involving 150 students from 6 11th-grade classes with a real specialization profile. The research was based on the following hypothesis: if we use numerical methods to solve linear equations systems and to the graphical representation of functions in the instructive-educational process, then we shall enhance the efficiency of these activities and increase the students’ performance by enhancing intrinsic motivation. In order to achieve the objectives, there were presented various techniques for solving linear equations systems and for the graphical representation of functions through numerical methods, followed by the application of sets of tests on the different methods for solving mathematical problems integrated in the various moments of the lesson, either in teaching new content or in consolidating and checking it. The paper highlights the role and values of computer use in learning Mathematics, in the informative as well as formative-educational sense, in agreement with the taught objectives and contents, based on the tendencies of updating and upgrading the school activity, and enhancing its role in preparing students for life. The research objectives were: - knowledge of the students’ (initial) training level as a basis for implementing the experiment; - presentation of the theory on numerical methods; - evaluating the contribution of the methods for solving linear equations systems and the graphical representation of functions through numerical methods to the enhancement of school performance; - recording progress following the application of the progress factor, respectively the various methods for solving linear equations systems and the graphical representation of functions through numerical methods.
VL  - 4
IS  - 2
ER  -

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