The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students

Mathematical Challenge is one of the main components in mathematics education, which aims to improve the ability of learners in the field of mathematics. Also, creativity is a personal and social characteristic that leads to the development of people at all levels and in all historical periods. In f...

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Main Authors: Seyed Mostafa Hamidi, Ali Zaeembashi, Mehrdad Namdari, Ashraf Karamzadeh
Format: Article
Language:fas
Published: University of Isfahan 2024-11-01
Series:ریاضی و جامعه
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Online Access:https://math-sci.ui.ac.ir/article_28266_7da0c8389426c798ebb4457e2fc7bab1.pdf
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author Seyed Mostafa Hamidi
Ali Zaeembashi
Mehrdad Namdari
Ashraf Karamzadeh
author_facet Seyed Mostafa Hamidi
Ali Zaeembashi
Mehrdad Namdari
Ashraf Karamzadeh
author_sort Seyed Mostafa Hamidi
collection DOAJ
description Mathematical Challenge is one of the main components in mathematics education, which aims to improve the ability of learners in the field of mathematics. Also, creativity is a personal and social characteristic that leads to the development of people at all levels and in all historical periods. In fact, applying information and knowledge and using creativity in solving problems is very important. In between, for a mathematics teacher, in addition to having good techniques and knowledge, the use of software and theories of mathematics education is also effective on the flourishing of students' talent and creativity and helps them to solve a higher-level problem. In geometric concepts, using Euclid's principles and mastering them gives the teacher a better perspective for the problem solving process. In this article, a geometrical problem suitable for the 8th and 9th grade level has been proposed for the 7th grade in Sampad school, and while expressing the importance of Euclid's principles, both the dynamic environment of mathematics and the paper-pencil environment have been used. By using the Van Hiele’s Theory in mathematical education, by designing an educational scaffold and dialogue between the teacher and students and with the help of Variation Theory, the answer of the problem was guessed by several students and a creative student gave a complete answer. Finally, we stated the problem as if and only if. In the meantime, Dimensional Deconstruction of Shapes was also used in the dynamic environment and paper-pencil environment.
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spelling doaj-art-5c69d2f40f2f469893d85e6ff4be17452025-01-05T10:12:22ZfasUniversity of Isfahanریاضی و جامعه2345-64932345-65072024-11-019313315910.22108/msci.2024.139103.160528266The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad studentsSeyed Mostafa Hamidi0Ali Zaeembashi1Mehrdad Namdari2Ashraf Karamzadeh3Faculty of science, Shahid Rajaee Teacher Training University Tehran, IranDepartment of Mathematics, Faculty of Basic Sciences, Shahid Rajaee Teacher Training University, Tehran, Tehran, IranDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, IranDepartment of Mathematics Faculty of Basic sciences, Shahid Rajaee Teacher Training Univercity Tehran, Tehran, IranMathematical Challenge is one of the main components in mathematics education, which aims to improve the ability of learners in the field of mathematics. Also, creativity is a personal and social characteristic that leads to the development of people at all levels and in all historical periods. In fact, applying information and knowledge and using creativity in solving problems is very important. In between, for a mathematics teacher, in addition to having good techniques and knowledge, the use of software and theories of mathematics education is also effective on the flourishing of students' talent and creativity and helps them to solve a higher-level problem. In geometric concepts, using Euclid's principles and mastering them gives the teacher a better perspective for the problem solving process. In this article, a geometrical problem suitable for the 8th and 9th grade level has been proposed for the 7th grade in Sampad school, and while expressing the importance of Euclid's principles, both the dynamic environment of mathematics and the paper-pencil environment have been used. By using the Van Hiele’s Theory in mathematical education, by designing an educational scaffold and dialogue between the teacher and students and with the help of Variation Theory, the answer of the problem was guessed by several students and a creative student gave a complete answer. Finally, we stated the problem as if and only if. In the meantime, Dimensional Deconstruction of Shapes was also used in the dynamic environment and paper-pencil environment.https://math-sci.ui.ac.ir/article_28266_7da0c8389426c798ebb4457e2fc7bab1.pdftheories of math educationscaffoldingcreativitymath softwareif and only if
spellingShingle Seyed Mostafa Hamidi
Ali Zaeembashi
Mehrdad Namdari
Ashraf Karamzadeh
The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
ریاضی و جامعه
theories of math education
scaffolding
creativity
math software
if and only if
title The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
title_full The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
title_fullStr The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
title_full_unstemmed The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
title_short The teacher's role in the interaction between software and mathematics education theories and its effect on the creativity of Sampad students
title_sort teacher s role in the interaction between software and mathematics education theories and its effect on the creativity of sampad students
topic theories of math education
scaffolding
creativity
math software
if and only if
url https://math-sci.ui.ac.ir/article_28266_7da0c8389426c798ebb4457e2fc7bab1.pdf
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