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Exploration of Rose Curves with NetPad

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Computer Science and Education (ICCSE 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1812))

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Abstract

Dynamic geometry system has been promoted actively in mathematical education because of its potential to comprehensively improve the core mathematical literacy required in an increasingly technology-based society. The ability to dynamically drag geometric elements to compare and discover relationships, and the ability to control movements and observe trajectory, are what make dynamic geometry system a powerful and efficient mathematical learning tool. This paper focuses on the application of dynamic geometry systems in inquiry-based maths education in middle school. Specifically, an inquiry-based learning activity named “mathematically drawing flowers with NetPad” is designed for students to study a characteristic feature of rose curves, i.e., the relationship between the number of petals and coefficient of rose curve equation. By sequentially graphing equations \(\rho = A \cdot cos(n\theta )\) and \(\rho = A \cdot cos(n\theta ) + B\) with NetPad in a constructive way, and then observing, reasoning, verifying, and expressing, students can closely experience a complete generating process of maths knowledge, and further improve their innovation awareness and practical ability.

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Notes

  1. 1.

    https://www.NetPad.net.cn/resource_web/course/#/479130.

  2. 2.

    https://www.NetPad.net.cn/resource_web/course/#/494350.

  3. 3.

    https://www.netpad.net.cn/resource_web/course/#/533753.

  4. 4.

    https://www.NetPad.net.cn/resource_web/course/#/533774.

  5. 5.

    https://www.NetPad.net.cn/resource_web/course/#/536844.

  6. 6.

    https://www.NetPad.net.cn/resource_web/course/#/496307.

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Acknowledgements

This Work is partially supported by the Innovation Research for the Full-time Postgraduates of Guangzhou University (No. 2022GDJC-M34), the China Postdoctoral Science Foundation (No. 2021M700920), the Guangzhou Academician and Expert Workstation (No. 20200115-9), and the Innovation Projects of Universities in Guangdong Province (No. 2020KTSCX215).

Author information

Authors and Affiliations

  1. Institute of Computing Science and Technology, Guangzhou University, Guangzhou, China

    Jing Li, Jing Zhang & Hao Guan

  2. Taibo Primary School, Zixi, China

    Ailing Rao

  3. Software Engineering Institute of Guangzhou, Guangzhou, China

    Ruxian Chen & Ying Wang

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  1. Jing Li
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  2. Jing Zhang
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  3. Ailing Rao
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  4. Ruxian Chen
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  5. Ying Wang
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  6. Hao Guan
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Corresponding author

Correspondence to Hao Guan .

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Editors and Affiliations

  1. Xiamen University, Xiamen, China

    Wenxing Hong

  2. Sichuan University, Chengdu, China

    Yang Weng

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Li, J., Zhang, J., Rao, A., Chen, R., Wang, Y., Guan, H. (2023). Exploration of Rose Curves with NetPad. In: Hong, W., Weng, Y. (eds) Computer Science and Education. ICCSE 2022. Communications in Computer and Information Science, vol 1812. Springer, Singapore. https://doi.org/10.1007/978-981-99-2446-2_12

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  • DOI: https://doi.org/10.1007/978-981-99-2446-2_12

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-99-2445-5

  • Online ISBN: 978-981-99-2446-2

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