Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University

Eyasu Gemechu; Amanuel Mogiso; Yusuf Hussein; Gedefa Adugna

doi:doi:10.11648/j.ajam.20210901.12

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Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University

Eyasu Gemechu, Amanuel Mogiso, Yusuf Hussein, Gedefa Adugna

Published in American Journal of Applied Mathematics (Volume 9, Issue 1)

Received: 1 February 2021 Accepted: 11 March 2021 Published: 17 March 2021

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Abstract

The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.

Published in	American Journal of Applied Mathematics (Volume 9, Issue 1)
DOI	10.11648/j.ajam.20210901.12
Page(s)	10-15
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), 2024. Published by Science Publishing Group

Keywords

APOS Theory, Conceptual Understanding, Functions of Two Variables, Multiple Integrals

References

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APA Style

Eyasu Gemechu, Amanuel Mogiso, Yusuf Hussein, Gedefa Adugna. (2021). Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. American Journal of Applied Mathematics, 9(1), 10-15. https://doi.org/10.11648/j.ajam.20210901.12

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ACS Style

Eyasu Gemechu; Amanuel Mogiso; Yusuf Hussein; Gedefa Adugna. Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. Am. J. Appl. Math. 2021, 9(1), 10-15. doi: 10.11648/j.ajam.20210901.12

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AMA Style

Eyasu Gemechu, Amanuel Mogiso, Yusuf Hussein, Gedefa Adugna. Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. Am J Appl Math. 2021;9(1):10-15. doi: 10.11648/j.ajam.20210901.12

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@article{10.11648/j.ajam.20210901.12,
  author = {Eyasu Gemechu and Amanuel Mogiso and Yusuf Hussein and Gedefa Adugna},
  title = {Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {1},
  pages = {10-15},
  doi = {10.11648/j.ajam.20210901.12},
  url = {https://doi.org/10.11648/j.ajam.20210901.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210901.12},
  abstract = {The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.},
 year = {2021}
}

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TY  - JOUR
T1  - Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University
AU  - Eyasu Gemechu
AU  - Amanuel Mogiso
AU  - Yusuf Hussein
AU  - Gedefa Adugna
Y1  - 2021/03/17
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210901.12
DO  - 10.11648/j.ajam.20210901.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 10
EP  - 15
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210901.12
AB  - The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.
VL  - 9
IS  - 1
ER  -

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Author Information

Eyasu Gemechu

Department of Mathematics, Faculty of Natural Science and Computation, Wolkite University, Wolkite, Ethiopia
Amanuel Mogiso

Department of Mathematics, Faculty of Natural Science and Computation, Wolkite University, Wolkite, Ethiopia
Yusuf Hussein

Department of Mathematics, Faculty of Natural Science and Computation, Wolkite University, Wolkite, Ethiopia
Gedefa Adugna

Department of Mathematics, Faculty of Natural Science and Computation, Adama Science and Technology University, Adama, Ethiopia

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APA Style

Eyasu Gemechu, Amanuel Mogiso, Yusuf Hussein, Gedefa Adugna. (2021). Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. American Journal of Applied Mathematics, 9(1), 10-15. https://doi.org/10.11648/j.ajam.20210901.12

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ACS Style

Eyasu Gemechu; Amanuel Mogiso; Yusuf Hussein; Gedefa Adugna. Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. Am. J. Appl. Math. 2021, 9(1), 10-15. doi: 10.11648/j.ajam.20210901.12

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AMA Style

Eyasu Gemechu, Amanuel Mogiso, Yusuf Hussein, Gedefa Adugna. Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University. Am J Appl Math. 2021;9(1):10-15. doi: 10.11648/j.ajam.20210901.12

Copy | Download

@article{10.11648/j.ajam.20210901.12,
  author = {Eyasu Gemechu and Amanuel Mogiso and Yusuf Hussein and Gedefa Adugna},
  title = {Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University},
  journal = {American Journal of Applied Mathematics},
  volume = {9},
  number = {1},
  pages = {10-15},
  doi = {10.11648/j.ajam.20210901.12},
  url = {https://doi.org/10.11648/j.ajam.20210901.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20210901.12},
  abstract = {The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.},
 year = {2021}
}

Copy | Download

TY  - JOUR
T1  - Students' Conception on Multiple Integrals of a Function of Several Variables: A Case of Adama Science and Technology University
AU  - Eyasu Gemechu
AU  - Amanuel Mogiso
AU  - Yusuf Hussein
AU  - Gedefa Adugna
Y1  - 2021/03/17
PY  - 2021
N1  - https://doi.org/10.11648/j.ajam.20210901.12
DO  - 10.11648/j.ajam.20210901.12
T2  - American Journal of Applied Mathematics
JF  - American Journal of Applied Mathematics
JO  - American Journal of Applied Mathematics
SP  - 10
EP  - 15
PB  - Science Publishing Group
SN  - 2330-006X
UR  - https://doi.org/10.11648/j.ajam.20210901.12
AB  - The study was conducted at Adama Science and Technology University to investigate students' conceptual understanding in learning Applied Mathematics II in general and multiple integrals in particular. A case study research design was employed on a Mechanical engineering group one student. This group was randomly selected through simple random sampling techniques. The number of students involved in this study was 50. Qualitative data were collected through reasoning part of the multiple choice items of the pre-test and interview items of the post-test were analyzed using APOS analysis based on proposed genetic decompositions. These tools were intended to investigate the conceptual understanding of students and the way they justify their answers. The study shows that the majority of the students' conception of multiple integrals could be categorized under action level whereas a few students were categorized under process conception. Students' conceptual understanding on multiple integrals of a function of two variables is a straight forward as that of a function of a single variable, which reveals that students have not developed a new schema for a function of two variables, as different from a function of a single variable. The majority of the respondents was poor at extending previous concepts to the new concept and had difficulty to represent multiple integrals using graph. Thus; the researchers recommended the utilization of an appropriate instructional approach in order to scaffold students' conceptual understanding of multiple integrals.
VL  - 9
IS  - 1
ER  -

Copy | Download