Computer Programs - New Considerations in Teaching and Learning Mathematics Science

Qamil Kllogjeri; Pellumb Kllogjeri

doi:doi:10.11648/j.ajsea.s.2015040201.12

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Computer Programs - New Considerations in Teaching and Learning Mathematics Science

Qamil Kllogjeri, Pellumb Kllogjeri

Published in American Journal of Software Engineering and Applications (Volume 4, Issue 2-1)

Received: 19 September 2014 Accepted: 10 October 2014 Published: 14 February 2015

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Abstract

There are many applications of computer informatics like in computations, plotting graphics to use them in math papers and to study the properties of the functions, in solving and discussing problems of mathematics or physics, in economics, in social topics and so on. This paper presents the topic of how much the computer programs (while we are studying something or making some trials by manipulating) help the teacher in finding answer for different mathematical problems or for the formulation of mathematical statements or facts (in other fields of science, as well). We are presenting here several examples in order that teachers and students have them into consideration while using computer programs to teach and learn. It is important that the teachers and the students try themselves again these examples and others by manipulating with computer programs, making trials and keeping notes in order to find out that there are limitations in the computer programs. The computer program used is Geogebra.

Published in	American Journal of Software Engineering and Applications (Volume 4, Issue 2-1) This article belongs to the Special Issue Growing GeoGebra Environment and Use
DOI	10.11648/j.ajsea.s.2015040201.12
Page(s)	7-13
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), 2015. Published by Science Publishing Group

Keywords

GeoGebra, Virtual Tools, Discrete Medium of Computer Programs, Limitations of Computer Programs

References

[1]	Bruner, J. S., “The act of discovery”, Harvard Educational Review, 1961, pp. 21-32.
[2]	Fiedler Klaus and Walther Eva, “Stereotyping as Inductive Hypothesis Testing”, Psychology Press, Great Britain, 2004, pp. 56-59.
[3]	Hulshof C.D., “Discovery of Ideas and Ideas about Discovery”, Publisher: Twente University Press, Enschede, the Netherlands (www.tup.utwente.nl), 2001, pp. 16-42.
[4]	John Tabak, “Numbers: Computers, Philosophers and the Search for Meaning”, The History of Mathematics, Printed in USA, 2004, pp.59, 173.
[5]	Josef Böhm, “Linking Geometry, Algebra and Calculus with GeoGebra”, ACDCA, DUG and Technical University of Vienna (http://www.geogebra.org), 2008, pp. 3-8.
[6]	Klahr, D. and Dunbar, K., “Dual space search during scientific reasoning”, Cognitive Science, 1988, pp. 12, 1-5.
[7]	Lu Yu-Wen Allison, “Linking Geometry and Algebra: A multiple-case study of Upper-Secondary mathematics teachers’ conceptions and practices of GeoGebra in England and Taiwan”, Faculty of Education, University of Cambridge (http://www.geogebra.org), 2008, pp. 1-2, 25-26.
[8]	Markus Hohenwartera and Judith Hohenwarter, “Introduction to GeoGebra.” (http://www.geogebra.org), 2008, pp. 7-8
[9]	Michel Detlefsen, “Proof and Knowledge in Mathematics”, Printed in USA and Canada, 1992, Taylor and Francis e-Library, 2005, pp.26.
[10]	Orton Anthony, “Learning Mathematics: Issues, Theory and Classroom Practice”, British Library Cataloguing-in- Publication Data, Third Edition, (www.continuumbooks.com), 2004, pp.71-84.
[11]	Reimann P., “Problem solving models of scientific discovery learning processes”, Published by P. Lang in Frankfurt am Main, New York, 1991, pp.15-45.

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APA Style

Qamil Kllogjeri, Pellumb Kllogjeri. (2015). Computer Programs - New Considerations in Teaching and Learning Mathematics Science. American Journal of Software Engineering and Applications, 4(2-1), 7-13. https://doi.org/10.11648/j.ajsea.s.2015040201.12

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ACS Style

Qamil Kllogjeri; Pellumb Kllogjeri. Computer Programs - New Considerations in Teaching and Learning Mathematics Science. Am. J. Softw. Eng. Appl. 2015, 4(2-1), 7-13. doi: 10.11648/j.ajsea.s.2015040201.12

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AMA Style

Qamil Kllogjeri, Pellumb Kllogjeri. Computer Programs - New Considerations in Teaching and Learning Mathematics Science. Am J Softw Eng Appl. 2015;4(2-1):7-13. doi: 10.11648/j.ajsea.s.2015040201.12

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@article{10.11648/j.ajsea.s.2015040201.12,
  author = {Qamil Kllogjeri and Pellumb Kllogjeri},
  title = {Computer Programs - New Considerations in Teaching and Learning Mathematics Science},
  journal = {American Journal of Software Engineering and Applications},
  volume = {4},
  number = {2-1},
  pages = {7-13},
  doi = {10.11648/j.ajsea.s.2015040201.12},
  url = {https://doi.org/10.11648/j.ajsea.s.2015040201.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajsea.s.2015040201.12},
  abstract = {There are many applications of computer informatics like in computations, plotting graphics to use them in math papers and to study the properties of the functions, in solving and discussing problems of mathematics or physics, in economics, in social topics and so on. This paper presents the topic of how much the computer programs (while we are studying something or making some trials by manipulating) help the teacher in finding answer for different mathematical problems or for the formulation of mathematical statements or facts (in other fields of science, as well). We are presenting here several examples in order that teachers and students have them into consideration while using computer programs to teach and learn. It is important that the teachers and the students try themselves again these examples and others by manipulating with computer programs, making trials and keeping notes in order to find out that there are limitations in the computer programs. The computer program used is Geogebra.},
 year = {2015}
}

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TY  - JOUR
T1  - Computer Programs - New Considerations in Teaching and Learning Mathematics Science
AU  - Qamil Kllogjeri
AU  - Pellumb Kllogjeri
Y1  - 2015/02/14
PY  - 2015
N1  - https://doi.org/10.11648/j.ajsea.s.2015040201.12
DO  - 10.11648/j.ajsea.s.2015040201.12
T2  - American Journal of Software Engineering and Applications
JF  - American Journal of Software Engineering and Applications
JO  - American Journal of Software Engineering and Applications
SP  - 7
EP  - 13
PB  - Science Publishing Group
SN  - 2327-249X
UR  - https://doi.org/10.11648/j.ajsea.s.2015040201.12
AB  - There are many applications of computer informatics like in computations, plotting graphics to use them in math papers and to study the properties of the functions, in solving and discussing problems of mathematics or physics, in economics, in social topics and so on. This paper presents the topic of how much the computer programs (while we are studying something or making some trials by manipulating) help the teacher in finding answer for different mathematical problems or for the formulation of mathematical statements or facts (in other fields of science, as well). We are presenting here several examples in order that teachers and students have them into consideration while using computer programs to teach and learn. It is important that the teachers and the students try themselves again these examples and others by manipulating with computer programs, making trials and keeping notes in order to find out that there are limitations in the computer programs. The computer program used is Geogebra.
VL  - 4
IS  - 2-1
ER  -

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Author Information

Qamil Kllogjeri

University of Gjovik, MSc Student of Information Security, Gjovik, Norway
Pellumb Kllogjeri

University of Gjovik, MSc Student of Information Security, Gjovik, Norway

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Plain Text BibTeX RIS

APA Style

Qamil Kllogjeri, Pellumb Kllogjeri. (2015). Computer Programs - New Considerations in Teaching and Learning Mathematics Science. American Journal of Software Engineering and Applications, 4(2-1), 7-13. https://doi.org/10.11648/j.ajsea.s.2015040201.12

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ACS Style

Qamil Kllogjeri; Pellumb Kllogjeri. Computer Programs - New Considerations in Teaching and Learning Mathematics Science. Am. J. Softw. Eng. Appl. 2015, 4(2-1), 7-13. doi: 10.11648/j.ajsea.s.2015040201.12

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AMA Style

Qamil Kllogjeri, Pellumb Kllogjeri. Computer Programs - New Considerations in Teaching and Learning Mathematics Science. Am J Softw Eng Appl. 2015;4(2-1):7-13. doi: 10.11648/j.ajsea.s.2015040201.12

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@article{10.11648/j.ajsea.s.2015040201.12,
  author = {Qamil Kllogjeri and Pellumb Kllogjeri},
  title = {Computer Programs - New Considerations in Teaching and Learning Mathematics Science},
  journal = {American Journal of Software Engineering and Applications},
  volume = {4},
  number = {2-1},
  pages = {7-13},
  doi = {10.11648/j.ajsea.s.2015040201.12},
  url = {https://doi.org/10.11648/j.ajsea.s.2015040201.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajsea.s.2015040201.12},
  abstract = {There are many applications of computer informatics like in computations, plotting graphics to use them in math papers and to study the properties of the functions, in solving and discussing problems of mathematics or physics, in economics, in social topics and so on. This paper presents the topic of how much the computer programs (while we are studying something or making some trials by manipulating) help the teacher in finding answer for different mathematical problems or for the formulation of mathematical statements or facts (in other fields of science, as well). We are presenting here several examples in order that teachers and students have them into consideration while using computer programs to teach and learn. It is important that the teachers and the students try themselves again these examples and others by manipulating with computer programs, making trials and keeping notes in order to find out that there are limitations in the computer programs. The computer program used is Geogebra.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - Computer Programs - New Considerations in Teaching and Learning Mathematics Science
AU  - Qamil Kllogjeri
AU  - Pellumb Kllogjeri
Y1  - 2015/02/14
PY  - 2015
N1  - https://doi.org/10.11648/j.ajsea.s.2015040201.12
DO  - 10.11648/j.ajsea.s.2015040201.12
T2  - American Journal of Software Engineering and Applications
JF  - American Journal of Software Engineering and Applications
JO  - American Journal of Software Engineering and Applications
SP  - 7
EP  - 13
PB  - Science Publishing Group
SN  - 2327-249X
UR  - https://doi.org/10.11648/j.ajsea.s.2015040201.12
AB  - There are many applications of computer informatics like in computations, plotting graphics to use them in math papers and to study the properties of the functions, in solving and discussing problems of mathematics or physics, in economics, in social topics and so on. This paper presents the topic of how much the computer programs (while we are studying something or making some trials by manipulating) help the teacher in finding answer for different mathematical problems or for the formulation of mathematical statements or facts (in other fields of science, as well). We are presenting here several examples in order that teachers and students have them into consideration while using computer programs to teach and learn. It is important that the teachers and the students try themselves again these examples and others by manipulating with computer programs, making trials and keeping notes in order to find out that there are limitations in the computer programs. The computer program used is Geogebra.
VL  - 4
IS  - 2-1
ER  -

Copy | Download