Developing complex analysis textbook to enhance students’ critical thinking

Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the re...

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Main Authors: Fariz Setyawan, Puguh Wahyu Prasetyo, Burhanudin Arif Nurnugroho
Format: Article
Language:English
Published: Muhammadiyah University Press 2020-02-01
Series:Journal of Research and Advances in Mathematics Education
Subjects:
Online Access:https://journals2.ums.ac.id/index.php/jramathedu/article/view/9269
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author Fariz Setyawan
Puguh Wahyu Prasetyo
Burhanudin Arif Nurnugroho
author_facet Fariz Setyawan
Puguh Wahyu Prasetyo
Burhanudin Arif Nurnugroho
author_sort Fariz Setyawan
collection DOAJ
description Critical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis and Application, especially in complex numbers. In this research, a qualitative investigation was carried out in the development of the textbook. This textbook supports the mathematics education students of Universitas Ahmad Dahlan in learning complex analysis course. Researchers did a walkthrough to the expert in assessing the content and construct to validate the textbook. The development model used by researchers is a 4 D model. A 4-D model used in this study is consists of defining, designing, developing, and disseminating. In defining, the researcher adequate materials related to the complex numbers such as the rational number and real number and its properties in addition and multiplication. In designing, some explanation in the textbook is followed by Why and How questions. Open questions are used to stimulate the students’ critical thinking. Based on the walkthrough result, some notation in the textbook, especially mathematics symbols, must be revised using a proper mathematics equation. In addition, some concept should be clearly defined such as z‐¹ = 1/z where the value of z ≠ 0. As a result of the validity construct, the explanation given in the textbook used a step-by step exercise. In disseminating, the students can easily access the textbook and answer the questions using their reasoning. The textbook is valid and readable.
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institution Kabale University
issn 2503-3697
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publisher Muhammadiyah University Press
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series Journal of Research and Advances in Mathematics Education
spelling doaj-art-b7aebf000fcf47c3b51b823111b031772025-08-20T03:50:07ZengMuhammadiyah University PressJournal of Research and Advances in Mathematics Education2503-36972020-02-01263710.23917/jramathedu.v5i1.87419332Developing complex analysis textbook to enhance students’ critical thinkingFariz Setyawan0Puguh Wahyu Prasetyo1Burhanudin Arif Nurnugroho2Department of Mathematics Education, Universitas Ahmad Dahlan, IndonesiaDepartment of Mathematics Education, Universitas Ahmad Dahlan, IndonesiaDepartment of Mathematics Education, Universitas Ahmad Dahlan, IndonesiaCritical thinking skill was needed since problems in daily life required a solution. To solve the problems, the students collect the data as a consideration in making the right decision. Moreover, the students also need good critical thinking skills. To develop a good critical thinking skill, the researcher develops a textbook of Complex Analysis and Application, especially in complex numbers. In this research, a qualitative investigation was carried out in the development of the textbook. This textbook supports the mathematics education students of Universitas Ahmad Dahlan in learning complex analysis course. Researchers did a walkthrough to the expert in assessing the content and construct to validate the textbook. The development model used by researchers is a 4 D model. A 4-D model used in this study is consists of defining, designing, developing, and disseminating. In defining, the researcher adequate materials related to the complex numbers such as the rational number and real number and its properties in addition and multiplication. In designing, some explanation in the textbook is followed by Why and How questions. Open questions are used to stimulate the students’ critical thinking. Based on the walkthrough result, some notation in the textbook, especially mathematics symbols, must be revised using a proper mathematics equation. In addition, some concept should be clearly defined such as z‐¹ = 1/z where the value of z ≠ 0. As a result of the validity construct, the explanation given in the textbook used a step-by step exercise. In disseminating, the students can easily access the textbook and answer the questions using their reasoning. The textbook is valid and readable.https://journals2.ums.ac.id/index.php/jramathedu/article/view/9269critical thinkingtextbookcomplex numbers
spellingShingle Fariz Setyawan
Puguh Wahyu Prasetyo
Burhanudin Arif Nurnugroho
Developing complex analysis textbook to enhance students’ critical thinking
Journal of Research and Advances in Mathematics Education
critical thinking
textbook
complex numbers
title Developing complex analysis textbook to enhance students’ critical thinking
title_full Developing complex analysis textbook to enhance students’ critical thinking
title_fullStr Developing complex analysis textbook to enhance students’ critical thinking
title_full_unstemmed Developing complex analysis textbook to enhance students’ critical thinking
title_short Developing complex analysis textbook to enhance students’ critical thinking
title_sort developing complex analysis textbook to enhance students critical thinking
topic critical thinking
textbook
complex numbers
url https://journals2.ums.ac.id/index.php/jramathedu/article/view/9269
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AT burhanudinarifnurnugroho developingcomplexanalysistextbooktoenhancestudentscriticalthinking