One of the most important features of GeoGebra is the coordination of the geometric and algebraic representations, easily observed in GeoGebra window. Using GeoGebra software the teacher can geometrically and fruitfully teach the concepts and algorithms of arithmetic operations in the elementary school. Our paper focuses on two important operations: multiplication and division in the set of natural numbers. Using GeoGebra features we visually demonstrate the concepts of these two operations and help the students to develop the process of mastering multiplication and division facts. Our paper aims to achieve three objectives: Firstly, teach multiplication and division using an area model with base and height of 10 squares. The table designed for this special purpose can be considered as a platform where the arrangements of objects, pictures or numbers in columns and rows is done. Secondly, teach division by using the concept of sharing or partitioning. We have designed a particular dynamic model allowing the teacher to convey the meaning of division so that the students can have a better understanding of the division process. Thirdly, by creating dynamic models for teachers and students we want to: 1. Increase teacher pedagogical content knowledge and improve the instructional practice; 2. Promote student learning by improving teaching practices and providing capacity-building solutions; 3. Encourage the teachers engage themselves in research activity and innovative educational practices and teaching strategies
| 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.2015040201.11 |
| Page(s) | 1-6 |
| 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), 2014. Published by Science Publishing Group |
Multiplication Model, Division Model, Technology
| [1] | Carl Stitz, Ph.D. Jeff Zeager, Ph.D., “College Trigonometry” , Lakeland Community College and Lorain County Community College, August 2010, pp. 600-700 |
| [2] | GeoGebra. Available via: http://www.geogebra.org; [Accessed 27 February 2009]. |
| [3] | HOHENWARTER JUDITH, HOHENWARTER MARKUS: “Introduction to GeoGebra”, 2008, pp. 3 – 20. |
| [4] | Hohenwarter M. & Preiner J., “Dynamic mathematics with GeoGebra”, TheJournal of Online Mathematics and its Applications, ID1448 ,vol. 7, 2007 |
| [5] | Hohenwarter, M., &Lavicza, Z., “The strength of the community: How GeoGebra can inspire technology integration in mathematics teaching”, Mathematics, Statistics, Operation Research Connections, 9(2), 2009, pp. 3-5. |
| [6] | INFORMATION AND COMMUNICATION TECHNOLOGY IN EDUCATION (A CURRICULUM FOR SCHOOLS AND PROGRAMME OF TEACHER DEVELOPMENT), Division of Higher Education © UNESCO 2002, Printed in France, pp. 8-22. |
| [7] | Paul A. Foerster ,Trigonometry: Functions and Applications, published by Prentice Hall, USA 1990 |
APA Style
Lindita Kllogjeri, Pellumb Kllogjeri. (2014). Dynamic Models for Multiplication and Division Offered by GeoGebra. American Journal of Software Engineering and Applications, 4(2-1), 1-6. https://doi.org/10.11648/j.ajsea.s.2015040201.11
ACS Style
Lindita Kllogjeri; Pellumb Kllogjeri. Dynamic Models for Multiplication and Division Offered by GeoGebra. Am. J. Softw. Eng. Appl. 2014, 4(2-1), 1-6. doi: 10.11648/j.ajsea.s.2015040201.11
AMA Style
Lindita Kllogjeri, Pellumb Kllogjeri. Dynamic Models for Multiplication and Division Offered by GeoGebra. Am J Softw Eng Appl. 2014;4(2-1):1-6. doi: 10.11648/j.ajsea.s.2015040201.11
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Download@article{10.11648/j.ajsea.s.2015040201.11,
author = {Lindita Kllogjeri and Pellumb Kllogjeri},
title = {Dynamic Models for Multiplication and Division Offered by GeoGebra},
journal = {American Journal of Software Engineering and Applications},
volume = {4},
number = {2-1},
pages = {1-6},
doi = {10.11648/j.ajsea.s.2015040201.11},
url = {https://doi.org/10.11648/j.ajsea.s.2015040201.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajsea.s.2015040201.11},
abstract = {One of the most important features of GeoGebra is the coordination of the geometric and algebraic representations, easily observed in GeoGebra window. Using GeoGebra software the teacher can geometrically and fruitfully teach the concepts and algorithms of arithmetic operations in the elementary school. Our paper focuses on two important operations: multiplication and division in the set of natural numbers. Using GeoGebra features we visually demonstrate the concepts of these two operations and help the students to develop the process of mastering multiplication and division facts. Our paper aims to achieve three objectives: Firstly, teach multiplication and division using an area model with base and height of 10 squares. The table designed for this special purpose can be considered as a platform where the arrangements of objects, pictures or numbers in columns and rows is done. Secondly, teach division by using the concept of sharing or partitioning. We have designed a particular dynamic model allowing the teacher to convey the meaning of division so that the students can have a better understanding of the division process. Thirdly, by creating dynamic models for teachers and students we want to: 1. Increase teacher pedagogical content knowledge and improve the instructional practice; 2. Promote student learning by improving teaching practices and providing capacity-building solutions; 3. Encourage the teachers engage themselves in research activity and innovative educational practices and teaching strategies},
year = {2014}
}
TY - JOUR T1 - Dynamic Models for Multiplication and Division Offered by GeoGebra AU - Lindita Kllogjeri AU - Pellumb Kllogjeri Y1 - 2014/10/17 PY - 2014 N1 - https://doi.org/10.11648/j.ajsea.s.2015040201.11 DO - 10.11648/j.ajsea.s.2015040201.11 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 - 1 EP - 6 PB - Science Publishing Group SN - 2327-249X UR - https://doi.org/10.11648/j.ajsea.s.2015040201.11 AB - One of the most important features of GeoGebra is the coordination of the geometric and algebraic representations, easily observed in GeoGebra window. Using GeoGebra software the teacher can geometrically and fruitfully teach the concepts and algorithms of arithmetic operations in the elementary school. Our paper focuses on two important operations: multiplication and division in the set of natural numbers. Using GeoGebra features we visually demonstrate the concepts of these two operations and help the students to develop the process of mastering multiplication and division facts. Our paper aims to achieve three objectives: Firstly, teach multiplication and division using an area model with base and height of 10 squares. The table designed for this special purpose can be considered as a platform where the arrangements of objects, pictures or numbers in columns and rows is done. Secondly, teach division by using the concept of sharing or partitioning. We have designed a particular dynamic model allowing the teacher to convey the meaning of division so that the students can have a better understanding of the division process. Thirdly, by creating dynamic models for teachers and students we want to: 1. Increase teacher pedagogical content knowledge and improve the instructional practice; 2. Promote student learning by improving teaching practices and providing capacity-building solutions; 3. Encourage the teachers engage themselves in research activity and innovative educational practices and teaching strategies VL - 4 IS - 2-1 ER -
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