Improving the Trigonometric Functions Learning Concept with Dynamic Mathematics Software

Li Li; Jerito Pereira; Neni Hermita

doi:10.18535/ijsrm/v10i4.m01

Abstract

Since the 21st century, the new model of Internet+Education has gradually penetrated into the field of mathematics education and has become a hot topic in the current research on mathematics education, and education informatization has become the main development trend. Therefore, the purpose of this research is to help students and teachers how to use Hawgent dynamic mathematics software to help students learn trigonometric functions and help teachers practice trigonometric functions. The research method used is the research and development (R&D) method and this research was done at Chongqing Zhongxian Senior Middle School for the period month of July to August 2021. The model has adaptive guiding principles that can help researchers develop ICT based learning media in the five stages of analysis, design, development, implementation, and evaluation. This research is based on the Hawgent dynamic mathematics software to design a trigonometric function integrable ware design model, dynamically presenting the concept of trigonometric function and its image and properties, and then use integrable ware to assist the teaching of trigonometric functions, and verify it through experimental teaching. The results show that the learning of trigonometric functions assisted by Hawgent dynamic integrable ware design can help improve students' understanding and interest in trigonometric functions. In the future, other researchers can study the influence of information technology on the teaching of mathematical formulas, theorems, and mathematical problem solving, and explore SEM models of influencing factors.

References

China M of E of P R of, 2017 Mathematics Curriculum Standards for Ordinary Senior High Schools Beijing People’s Educ. Press p. 1–144.Google Scholar ↗
Tudor S L, 2013 The Role of Multimedia Strategies in Educational Process Procedia - Soc. Behav. Sci. 78 p. 682–686.Google Scholar ↗
Yieng L P and Saat R M, 2013 Use of Information Communications Technology ( ICT ) in Malaysian science teaching ; A microanalysis of TIMSS 2011 Procedia - Soc. Behav. Sci. 103 p. 1271–1278.Google Scholar ↗
Abramovich S Grinshpan A Z and Milligan D L, 2019 Teaching Mathematics through Concept Motivation and Action Learning Educ. Res. Int. 2019.Google Scholar ↗
Teskin O I and Sudakov R S, 1987 Multivariate hypothesis testing and its application to quality control J. Sov. Math. 39, 2 p. 2648–2661.Google Scholar ↗
Wijaya T T Tang J Li L and Purnama A, 2021 Implementing Dynamic Mathematics Software in Calculus II for Engineering Students: Quadratic Surfaces Springer Nat. Switz. AG 2021 p. 480–491.Google Scholar ↗
Pereira, J.; Wijaya, T.T.; Zhou Y . P, 2020 Learning points, lines, and plane geometry with Hawgent dynamic mathematics software in Journal of Physics: Conference Series.Google Scholar ↗
Pereira J Jianlan T Wijaya T T Purnama A N. H and Tamur M, 2021 Using Hawgent Mathematics Software to Help Primary School Students to Read Clocks Using Hawgent Mathematics Software to Help Primary School Students to Read Clocks J. Phys. Conf. Ser. 2049.Google Scholar ↗
Wijaya T T Ying Z and Purnama A, 2020 The empirical research of Hawgent dynamic mathematics technology integrated into teaching J. Cendekia J. Pendidik. Mat. 04, 01 p. 144–150.Google Scholar ↗
Pereira J Huang Y Chen J Hermita N and Tamur M, 2020 Learning the Concept of Absolute Value with Hawgent Dynamic Mathematics Software 16, 2 p. 160–169.Google Scholar ↗
C. Jihe; Zhou Ying; Jerito Pereira; Ma Yuehuan; Maximus Tamur; Herminta N., 2021 Develop Teaching Material Using Hawgent Dynamic Mathematics Software Conf. Int. Anal. Big Data Sci. Comput. p. 26–30.Google Scholar ↗
Wijaya, T.T.; Zhou, Y.; Purnama A, 2020 Hawgent dynamic mathematics software to improve problem-solving ability in teaching triangles J. Phys. Conf. Ser. 1663, 1.Google Scholar ↗
Çekmez E, 2020 What generalizations do students achieve with respect to trigonometric functions in the transition from angles in degrees to real numbers? J. Math. Behav. 58, February p. 100778.Google Scholar ↗
Wijaya T T Ying Z and Purnama A, 2020 Using Hawgent dynamic mathematics software in teaching trigonometry Int. J. Emerg. Technol. Learn. 15, 10.Google Scholar ↗
Tallman M A, 2021 Investigating the transformation of a secondary teacher’s knowledge of trigonometric functions J. Math. Behav. 62, 1050721 p. 100869.Google Scholar ↗
Cavey L O and Berenson S B, 2005 Learning to teach high school mathematics: Patterns of growth in understanding right triangle trigonometry during lesson plan study J. Math. Behav. 24, 2 p. 171–190.Google Scholar ↗
Yu Y, The application of information based on teaching method in high school, Yunnan Normal University-China.Google Scholar ↗
Pachemska S Atanasova-Pachemska T Iliev D and Seweryn-Kuzmanovska M, 2014 Analyses of Student’s Achievement Depending on Math Teaching Methods Procedia - Soc. Behav. Sci. 116 p. 4035–4039.Google Scholar ↗
Öndeş R N and Çiltaş A, 2018 Using Theoretical Framework with Sample Activities to Enlighten Prospective Elementary Mathematics Teachers about Technological Pedagogical Content Knowledge ( TPACK ) Int. J. Educ. Stud. Math. 5, 3 p. 98–108.Google Scholar ↗
Xin L, 2018, Research on the Application of Multimedia in Geography Teaching in Senior High School, Cental China Normal UNiversity.Google Scholar ↗
Trouche L Gueudet G and Pepin B, 2019 The “resource” approach to mathematics education .Google Scholar ↗
Mailizar M, 2018 Investigating Indonesian Teachers’ Knowledge and Use of ICT in Mathematics Teaching Thesis degree Dr. Philos.Google Scholar ↗
Zhang R, Research on Teaching Design of Integrating Mathematical History into Trigonometric Function, Harbin Normal University.Google Scholar ↗
Furinghetti F, 2011 Dig Where You Stand”: Proceedings of a Conference on On-going Research in the History of Mathematics Education 38 p. 303–308.Google Scholar ↗
Brummelen G Van, 2013 Book Reviews The Mathematics of the Heavens and the Earth : The Early History of Trigonometry 40 p. 324–325.Google Scholar ↗
Agheli B, 2018 ScienceDirect Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions Trans. A. Razmadze Math. Inst. 172, 3 p. 299–308.Google Scholar ↗
Liyi K, 2021 Teaching exploration of acute Angle trigonometric function based on APOS Theory China Acad. J. Electron. Publ. House.Google Scholar ↗
García-Martínez I and Parraguez M, 2017 The basis step in the construction of the principle of mathematical induction based on APOS theory J. Math. Behav. 46, September 2016 p. 128–143.Google Scholar ↗
Gebeyehu M Atnafu M and Ejigu T, 2021 Heliyon Implementing GeoGebra integrated with multi-teaching approaches guided by the APOS theory to enhance students ’ conceptual understanding of limit in Ethiopian Universities Heliyon 7, September 2020 p. e07012.Google Scholar ↗
Martínez-Planell R and Trigueros M, 2019 Using cycles of research in APOS: The case of functions of two variables J. Math. Behav. 55, August 2018 p. 100687.Google Scholar ↗
Helsa Y and Kenedi A K, 2019 Edmodo-Based Blended Learning Media in Learning Mathematics J. Teach. Learn. Elem. Educ. 2, 2 p. 107–117.Google Scholar ↗
Aldoobie N, 2015 ADDIE Model Am. Int. J. Contemp. Res. Vol 5 No 6, 3 p. 361–373.Google Scholar ↗
Baharuddin B, 2018 ADDIE Model Application Promoting Interactive Multimedia IOP Conf. Ser. Mater. Sci. Eng. 306, 1.Google Scholar ↗

[refR-1] China M of E of P R of, 2017 Mathematics Curriculum Standards for Ordinary Senior High Schools Beijing People’s Educ. Press p. 1–144.Google Scholar ↗

[refR-2] Tudor S L, 2013 The Role of Multimedia Strategies in Educational Process Procedia - Soc. Behav. Sci. 78 p. 682–686.Google Scholar ↗

[refR-3] Yieng L P and Saat R M, 2013 Use of Information Communications Technology ( ICT ) in Malaysian science teaching ; A microanalysis of TIMSS 2011 Procedia - Soc. Behav. Sci. 103 p. 1271–1278.Google Scholar ↗

[refR-4] Abramovich S Grinshpan A Z and Milligan D L, 2019 Teaching Mathematics through Concept Motivation and Action Learning Educ. Res. Int. 2019.Google Scholar ↗

[refR-5] Teskin O I and Sudakov R S, 1987 Multivariate hypothesis testing and its application to quality control J. Sov. Math. 39, 2 p. 2648–2661.Google Scholar ↗

[refR-6] Wijaya T T Tang J Li L and Purnama A, 2021 Implementing Dynamic Mathematics Software in Calculus II for Engineering Students: Quadratic Surfaces Springer Nat. Switz. AG 2021 p. 480–491.Google Scholar ↗

[refR-7] Pereira, J.; Wijaya, T.T.; Zhou Y . P, 2020 Learning points, lines, and plane geometry with Hawgent dynamic mathematics software in Journal of Physics: Conference Series.Google Scholar ↗

[refR-8] Pereira J Jianlan T Wijaya T T Purnama A N. H and Tamur M, 2021 Using Hawgent Mathematics Software to Help Primary School Students to Read Clocks Using Hawgent Mathematics Software to Help Primary School Students to Read Clocks J. Phys. Conf. Ser. 2049.Google Scholar ↗

[refR-9] Wijaya T T Ying Z and Purnama A, 2020 The empirical research of Hawgent dynamic mathematics technology integrated into teaching J. Cendekia J. Pendidik. Mat. 04, 01 p. 144–150.Google Scholar ↗

[refR-10] Pereira J Huang Y Chen J Hermita N and Tamur M, 2020 Learning the Concept of Absolute Value with Hawgent Dynamic Mathematics Software 16, 2 p. 160–169.Google Scholar ↗

[refR-11] C. Jihe; Zhou Ying; Jerito Pereira; Ma Yuehuan; Maximus Tamur; Herminta N., 2021 Develop Teaching Material Using Hawgent Dynamic Mathematics Software Conf. Int. Anal. Big Data Sci. Comput. p. 26–30.Google Scholar ↗

[refR-12] Wijaya, T.T.; Zhou, Y.; Purnama A, 2020 Hawgent dynamic mathematics software to improve problem-solving ability in teaching triangles J. Phys. Conf. Ser. 1663, 1.Google Scholar ↗

[refR-13] Çekmez E, 2020 What generalizations do students achieve with respect to trigonometric functions in the transition from angles in degrees to real numbers? J. Math. Behav. 58, February p. 100778.Google Scholar ↗

[refR-14] Wijaya T T Ying Z and Purnama A, 2020 Using Hawgent dynamic mathematics software in teaching trigonometry Int. J. Emerg. Technol. Learn. 15, 10.Google Scholar ↗

[refR-15] Tallman M A, 2021 Investigating the transformation of a secondary teacher’s knowledge of trigonometric functions J. Math. Behav. 62, 1050721 p. 100869.Google Scholar ↗

[refR-16] Cavey L O and Berenson S B, 2005 Learning to teach high school mathematics: Patterns of growth in understanding right triangle trigonometry during lesson plan study J. Math. Behav. 24, 2 p. 171–190.Google Scholar ↗

[refR-17] Yu Y, The application of information based on teaching method in high school, Yunnan Normal University-China.Google Scholar ↗

[refR-18] Pachemska S Atanasova-Pachemska T Iliev D and Seweryn-Kuzmanovska M, 2014 Analyses of Student’s Achievement Depending on Math Teaching Methods Procedia - Soc. Behav. Sci. 116 p. 4035–4039.Google Scholar ↗

[refR-19] Öndeş R N and Çiltaş A, 2018 Using Theoretical Framework with Sample Activities to Enlighten Prospective Elementary Mathematics Teachers about Technological Pedagogical Content Knowledge ( TPACK ) Int. J. Educ. Stud. Math. 5, 3 p. 98–108.Google Scholar ↗

[refR-20] Xin L, 2018, Research on the Application of Multimedia in Geography Teaching in Senior High School, Cental China Normal UNiversity.Google Scholar ↗

[refR-21] Trouche L Gueudet G and Pepin B, 2019 The “resource” approach to mathematics education .Google Scholar ↗

[refR-22] Mailizar M, 2018 Investigating Indonesian Teachers’ Knowledge and Use of ICT in Mathematics Teaching Thesis degree Dr. Philos.Google Scholar ↗

[refR-23] Zhang R, Research on Teaching Design of Integrating Mathematical History into Trigonometric Function, Harbin Normal University.Google Scholar ↗

[refR-24] Furinghetti F, 2011 Dig Where You Stand”: Proceedings of a Conference on On-going Research in the History of Mathematics Education 38 p. 303–308.Google Scholar ↗

[refR-25] Brummelen G Van, 2013 Book Reviews The Mathematics of the Heavens and the Earth : The Early History of Trigonometry 40 p. 324–325.Google Scholar ↗

[refR-26] Agheli B, 2018 ScienceDirect Approximate solution for solving fractional Riccati differential equations via trigonometric basic functions Trans. A. Razmadze Math. Inst. 172, 3 p. 299–308.Google Scholar ↗

[refR-27] Liyi K, 2021 Teaching exploration of acute Angle trigonometric function based on APOS Theory China Acad. J. Electron. Publ. House.Google Scholar ↗

[refR-28] García-Martínez I and Parraguez M, 2017 The basis step in the construction of the principle of mathematical induction based on APOS theory J. Math. Behav. 46, September 2016 p. 128–143.Google Scholar ↗

[refR-29] Gebeyehu M Atnafu M and Ejigu T, 2021 Heliyon Implementing GeoGebra integrated with multi-teaching approaches guided by the APOS theory to enhance students ’ conceptual understanding of limit in Ethiopian Universities Heliyon 7, September 2020 p. e07012.Google Scholar ↗

[refR-30] Martínez-Planell R and Trigueros M, 2019 Using cycles of research in APOS: The case of functions of two variables J. Math. Behav. 55, August 2018 p. 100687.Google Scholar ↗

[refR-31] Helsa Y and Kenedi A K, 2019 Edmodo-Based Blended Learning Media in Learning Mathematics J. Teach. Learn. Elem. Educ. 2, 2 p. 107–117.Google Scholar ↗

[refR-32] Aldoobie N, 2015 ADDIE Model Am. Int. J. Contemp. Res. Vol 5 No 6, 3 p. 361–373.Google Scholar ↗

[refR-33] Baharuddin B, 2018 ADDIE Model Application Promoting Interactive Multimedia IOP Conf. Ser. Mater. Sci. Eng. 306, 1.Google Scholar ↗