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專任教師 - 許慧玉

許慧玉教授
姓名 許慧玉
職稱 教授
學歷 美國密西根大學博士
分機 78603
E-mail huiyuhsu@mx.nthu.edu.tw
研究室 推廣大樓9316室
研究專長 幾何教與學、數學教科書分析、數學教師專業發展、數學資賦優異腦科學研究（ERP research）、STEM教育（數學教育）、腦機介面在教育上應用 (Brain-Computer Interface)
課表 112-1課表

 

 

教學研究特色

利用腦機介面技術開發療育患者空間能力診斷教學模組

許慧玉研究特色

  • 本研究整合教育腦科學、數學、工程、機器學習、醫學和業界，致力於開發整合式BCI空間能力診斷教學模組及產品。該模組結合被動式腦機介面(Passive BCI)及互動式腦機介面(Reactive BCI)，運用被動式BCI來診斷療育患者的空間能力，同時利用互動式BCI進行空間能力的教學。此模組包括幾何空間推理和環境空間定位的內容。

台灣數學資賦優異及學習優異認知特徵之研究

許慧玉研究特色

此研究以新竹縣市高中為目標。分別在新竹科學園區實驗高中、國立新竹女中、建功高中、六家高中、及湖口高中五所高中對校長及學校老師說明本研究，並進行高一和高二受試學生的招募。收集的數據與以色列進行跨國比較，可看出台灣與以色列學生在進行不同測驗的答題有不同的特徵。而本研究也透過腦波分析軟體進行分析，收集閱讀題目階段大腦枕葉區域腦波的情況，以此來看在接收訊息刺激的時候，不同組的學生腦波情形有所差異，尤其是資優但非學優的學生腦波。

數位雙語課程

許慧玉研究特色

清華STEAM提出DDMT的課程設計模式，強調由學生發現瞭解生活週遭的實際問題、形成問題定義、發展模式和建模來解決問題，並遷移學習經驗到新的問題。在這個模式之下，數學扮演的角色和相關的數學能力是需要被定義。我們依據108課程綱要強調的素養能力出發，以資料收集分析來瞭解生活週遭的實際問題，並藉由資料分析與建模形成解決問題的策略模式。此一數學為本的DDMT課程設計幫助師培生、現場高中、國中、國小學生數學建模能力，並善用數學建模來發展跨領域知識。

學術著作及研究計畫

一、期刊及研究專書論文
  • Hsu, H.-Y., Yao, C.-Y., & Lu, B.-Y. (2022). Examination of Taiwanese Mathematics Teachers’ Questioning. International Journal of Science and Mathematics Education. (SSCI) (First author)
  • Hsu, H.-Y. & Yao, C.-Y. (2023). Mathematical tasks framework and levels of cognitive demand: A critical Review. In J.-F., C., G. Stylianides, & P. A. Kenney (Eds.) On the Learning and Teaching of Mathematics: Research Studies in Honor of Edward A. Silver. Springer. (First author and corresponding author)
  • Hsu, H.-Y. (2023). Taiwanese teachers' collection of geometry tasks for classroom teaching: A cognitive complexity perspective. In R. Leikin (Ed.), Mathematical challenge for all. Springer. (First author and corresponding author)
  • Waisman, I., Hsu, H.-Y., & Leikin, R. (2023). Systematic variations of geometry tasks developed based on Field Independence and Symmetry. In R. Leikin (Ed.), Mathematical Challenge for all. Springer. (Corresponding author)
  • Yang, K.-L., Hsu, H.-Y., & Cheng, Y.-H. (2022). Opportunities and challenges of mathematics learning in Taiwan: A critical review. ZDM – Mathematics Education, 54, 569-580.（SSCI）(Corresponding author)
  • 蔡淑君, 許慧玉, 鄭英豪, & 陳建誠. (2020). 拖曳對國小生理解四邊形包含關係之研究 [A study of Dragging in Dynamic Geometry Environment in Developing Elementary School Students' Understanding of Inclusive Relationships among Quadrilaterals]. 臺灣數學教育期刊, 7(1), 27-54. (科技部一級期刊) (通訊作者)
  • Lin, F.-L., Yang, K.-L., Hsu, H.-Y., & Chen, J.-C. (2018). Mathematics teacher educator-researchers’ perspectives on the use of theory in facilitating teacher growth. Educational Studies in Mathematics, 98, 197-214. (SSCI) (Corresponding author).
  • Lin, F.-L., Hsu, H.-Y., & Chen, J.-C. (2017). Facilitating professional growth of Taiwanese in-service mathematics teachers through an innovative school-based program. In B. Kaur, O.-N. Kwon, & Y.-H. Leong (Eds.), Professional development of mathematics teachers: An Asian perspective (pp. 209-222). Singapore: Springer. (Corresponding author)
  • Lin, F.-L., & Hsu, H.-Y. (2017). Using mathematics-pedagogy tasks to facilitate the professional growth of pre-service elementary teachers. In G. J. Stylianides, & K. Hino (Eds.), Research advances in the mathematical education of pre-service elementary teachers—An international perspective. Germany: Springer. (Corresponding author)
  • 鄭英豪、陳建誠、許慧玉（2017）。國中生在動態幾何軟體輔助下臆測幾何性質之研究。台灣數學教育期刊，4(1)，1-34。(科技部一級期刊)（通訊作者）
  • 黃國綸、許慧玉（2016）。幾何圖形例子分類對八年級國中生學習四邊形包含關係之研究。台灣數學教師，37(2)，50-71。（通訊作者）
  • Yang, K.-L., Hsu, H.-Y., Lin, F.-L., Chen, J.-C., & Cheng, Y.-H. (2015). Exploring educative power of an experienced mathematics teacher educator-researcher. Educational Studies in Mathematics, 89(1), 19-39. (SSCI).
  • Hsu. H.-Y. & Silver, E. (2014). Cognitive complexity of mathematics instructional tasks in a Taiwanese classroom: An examination of task sources. Journal for Research on Mathematics Education, 45(4), 460-496. (SSCI) (First author & Corresponding author).
  • 劉家樟、楊凱琳、許慧玉 (2012). 小六學生不同代數表徵的解題表現及教師布題順序與代數教學信念之研究. 當代教育研究季刊. 20(2), 93-133. (TSSCI) (通訊作者)
  • Charalambos, C., Delaney, S., Hsu, H.-Y. & Mesa, V. (2010). The addition and subtraction of fractions in the textbooks of three countries: A comparative analysis. Mathematical Thinking and Learning, 12, 117-151 (SSCI). (Equal authorship)
  • 林于弘、許慧玉 (2002). 國小一年級國語識字量之比較觀察研究。國民教育。國立台北師範學院, 43(1), 38-45.
  • 許慧玉（2001）數學科卷宗評量之文獻探討與實務經驗分享。革新國民中小學數學教育議題，國立嘉義大學數學教育研究所，317-348.
  • 許慧玉 (2001). 國小四年級數學解題策略分析。教師之友，國立嘉義大學，21,48- 59.
  • 許慧玉、劉瓊文（2001）. 卷宗評量的特色及對學習的影響。測驗與統計簡訊, 41, 9-20.
  • 許慧玉 (2000). 新式評量─卷宗評量的介紹，竹縣文教, 3, 71-84.
 
二、研討會論文

  • 國外研討會發表

  • Hsu, H.-Y., Waisman, I., and Leikin, R. (2023). Influence of Field-Dependence-Independence and Symmetry on Geometry Problem Solving: An ERP Study. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 3, pp. 91-98. University of Haifa.
  • Yao, C.-Y.; Hsu, H.-Y.; Ding, T.-J. (2023). Comparison of Equivalent Fractions with Different Representations. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp. 349. University of Haifa.
  • Liu, H.-Y.; Hsu, H.-Y. (2023). Examination of Different Cognitive-Style Students on Solving Mathematics Problems. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp.279. University of Haifa.
  • Sun, C.-W.; Hsu, H.-Y. (2023). Influence of Linear Function Expression and Variable Symbols on Students’ Problem Solving. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp.335. University of Haifa.
  • Ding, T.-J.; Hsu, H.-Y.; Yao, C.-Y. (2023). Spatial Reasoning in Geometry and Cartography. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp.371. University of Haifa.
  • Waisman, I.; Hsu, H.-Y.; Leikin, R. (2023). Differences In Students Who Excel In School Mathematics In Taiwan And Israel. In M. Ayalon, B. Koichu, R. Leikin, L. Rubel., & M. Tabach (Eds.). Proceedings of the 46th Conference of the International Group for the Psychology of Mathematics Education, Vol. 1, pp.344. University of Haifa.
  • Hsu, H.-Y., Yao, C.-Y., & Wang, T.-H. (2022). Comparisons of brain activities between solving function tasks and multiplication tasks. In C. Fernández, S. Llinares, A. Gutiérrez, & N. Planas (Eds.). Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, Vol. 4, pp. 233. PME: Spain.
  • Hsu, H.-Y. (2021). How teachers scaffold students in visualizing diagram for understanding geometric problem solving. Paper presented in The 14th International Congress on Mathematical Education. ICME: Shanghai, China.
  • Hsu, H.-Y., Cheng, Y.-H., & Chen, J.-C. (2019). A Strategy to Scaffold Low-Attaining Students in Learning Mathematics. Paper presented in The Asian Conference on Education & International Development (ACEID). ACEID: Tokyo, Japan.
  • Chen, J.-C., Cheng, Y.-H., & Hsu, H.-Y. (2019). Learning Activity Design for promoting Students’ Understanding and Positive Disposition: An Example in Just-Do-Math Project in Taiwan. Paper presented in The Asian Conference on Education & International Development (ACEID). ACEID: Tokyo, Japan.
  • Cheng, Y.-H., Hsu, H.-Y., Chen, J.-C. (2019). Facilitating Teachers in Improving the Quality of Their Pedagogical Reasoning in Changing Times. Paper presented in The Asian Conference on Education & International Development (ACEID). ACEID: Tokyo, Japan.
  • Hsu, H.-Y., Huang, G.-L., Cheng, Y.-H., & Chen, J.-C. (2017). A study of cognitive demand embedded in rigid transformation of geometric diagrams. Paper presented at The 41st PME Conference. Singapore: Singapore.
  • Hsu, H.-Y., Cheng, Y.-H., Chen, J.-C., & Chen, M.-C. (2016). Fourth graders’ understanding of inclusion relations in quadrilaterals. Paper presented at The 40th PME Conference. Hungary: Szeged.
  • Lin, F.-L., & Hsu, H.-Y. (2016). Using mathematics-pedagogy tasks to facilitate professional growth of elementary pre-service teachers. Paper presented at The 13th International Congress on Mathematical Education (ICMI-13). Germany: Hamburg.
  • Hsu, H.-Y., Li, Y.-H., Cheng, Y.-H., & Cheng, J.-C. (2015). The interplay between diagram characteristics and geometric properties generated by straightedge-and-compass construction. The 2015 International Symposium of Research on Mathematical Argumentation in Mathematics Education, Hsinchu, Taiwan
  • Cheng, Y.-H., Hsu, H.-Y., & Chen, J.-C. (2015). Developing reading and reasoning activities for geometric thinking. The 2015 International Symposium of Research on Mathematical Argumentation in Mathematics Education.
  • Chen, J.-C., Lin, F.-L., Hsu, H.-Y., & Ying-Hao Cheng (2014). Integration of conjecturing and diagnostic teaching: Using a proceduralized refutation model as intermediate framework. Joint Meeting of International Conference of Psychology on Mathematics Education and PME-NA, Vancouver, Canada.
  • Lin, F.-L., Yang, K.-L., Hsu, H.-Y. & Chen, J.-C. (2014). Using theoretical principles in the evaluation of teachers' task design for conjecturing. The Joint Meeting of International Conference of PME 38 and PME-NA, Vancouver, Canada.
  • Chen, J.-C., Lin, F.-L., Hsu, H.-Y., Liao, H.-I., & Yang, K.-L. (2013). Teacher growth through designing =1 task. Paper will be presented in 37th Conference of the International Group for Psychology of Mathematics Education. Taipei, Taiwan.
  • Yang, K.-L., Lin, F.-L., Hsu, H.-Y., Chen, J.-C., & Cheng, Y.-H. (2013). A case study of educative power. Paper will be presented in 36th Conference of the International Group for Psychology of Mathematics Education. Taipei, Taiwan.
  • Cheng, Y.-H., Hsu, H.-Y., & Chen, J.-C. (2013). Exploring the gap between verbal description and figural pattern of geometric theorem on secondary students. Paper will be presented in the 37th Conference of the International Group for Psychology of Mathematics Education. Kiel, German.
  • Lin, F.-L., Chen, J.-C., Hsu, H.-Y., Yang, K.-L., & Wu, R.-H. (2013). Elaborating stages of teacher growth in design-based professional development. Paper presented in 37th Conference of the International Group for Psychology of Mathematics Education. Kiel, Germany.
  • Lin, F.-L., & Hsu, H.-Y. (2013). Creating opportunities for mathematics gifted students to learn in mixed-ability classroom. Paper presented the 2013 International Conference of Mathematics Education on Creativity and Giftedness. Seoul, Korea.
  • Hsu, H.-Y., Cheng, Y.-H., & Chen, J.-C. (2012). Designing task for promoting students to conjecture geometric conditional propositions. 第四屆科技與數學教育學術研討會暨數學教學工作坊.
  • Hsu, H.-Y., Lin, F.-L., Chen, J.-C., & Yang, K.-L. (2012). Elaborating coordination mechanism for teacher growth in profession. Paper presented in the 36th Conference of the International Group for Psychology of Mathematics Education. Taipei, Taiwan.
  • Lin, F.-L., Hsu, H.-Y., & Yang, K.-L. (2012). Elaborating a 3X3 framework for professional development growth of teachers, Paper presented in the ATE (Associations of Teacher Educator) 2012 Conference, Texas, U.S.A.
  • Cheng, Y.-H., Hsu, H.-Y., & Chen, J.-C. (2012). The process of conjecturing a conditional proposition in dynamic geometry setting. Paper will be presented in the 36th Conference of the International Group for Psychology of Mathematics Education. Taipei, Taiwan.
  • Lin, F.-L., Chen, J.-C., Hsu, H.-Y., & Yang, K.-L. (2012). Elaborating a framework for teacher growth in profession. Paper will be presented in the 36th Conference of the International Group for Psychology of Mathematics Education. Taipei, Taiwan.
  • Yang, K.-L., Lin, F.-L., & Hsu, H.-Y. (2012). A task for understanding and enhancing pre-service teachers’ knowledge for teaching, paper presented in the ATE (Associations of Teacher Educator) 2012 Conference, Texas, U.S.A.
  • Lin, F.-L., Hsu, H.-Y., & Chen, J.-C. (2012). Three issues on practice and research for professional development, paper presented in the ATE (Associations of Teacher Educator) 2012 Conference, Texas, U.S.A.
  • Chen, J.-C., Lin, F.-L., Hsu, H.-Y., & Yang, K.-L. (2011). A framework for evaluating thinking of teachers in designing task sequences. Presented in the 35th Conference of the International Group for Psychology of Mathematics Education, Ankara, Turkey.
  • Lin, F.-L., Yang, K.-L., Chen, J.-C., & Hsu, H.-Y. (2011). Conceptualizing educative power of researcher-educator. Presented in the 35th Conference of the International Group for Psychology of Mathematics Education, Ankara, Turkey.
  • Cheng, Y.-H., Hsu, H.-Y., & Chen, J.-C. (2011) Creating a conditional proposition on co-varying geometry setting for young students. Presented in the 35th Conference of the International Group for Psychology of Mathematics Education, Ankara, Turkey.
  • Hsu, H.-Y. (2010). Conceptualization the relationships between geometric proof and geometric calculation. Paper presented in 34th Conference of the International group for Psychology of Mathematics Education. Belo Horizonte, Brazil.
  • Cheng, Y.-H., Hsu, H.-Y., & Chen, J.-C. (2010). Students’ difficulties in generating diagram examples. Presented in 34st Conference of the International group for Psychology of Mathematics Education. Belo Horizonte, Brazil.
  • Yu, J.-Y. W., Hsu, H.-Y., Lin, C.-J., & Chin, E.-T. (2009) Validating conditional statement: Role of empirical examples. Presented in 33rd Conference of the International Group for Psychology of Mathematics Education, Thessaloniki, Greece.
  • Hsu, H.-Y. (2009). Opportunities to learn: A Taiwanese teacher’s decision in selecting and instructing geometric calculation tasks. Paper presented at the Conference on Mathematics Teachers' Professional Development: Tracing from teachers' knowledge, actions, decision making to reflections. Kaohsiung, Taiwan.
  • Hsu, H.-Y., Yu, J.-Y. W., Chen, Y.-C. (2009). Fostering 7th grade students’ understanding of validity: An instructional experiment. Paper presented at the Conference of ICMI study 19: Proof and proving in mathematics education. Taipei, Taiwan.
  • Hsu, H.-Y. (2008). Learning opportunities of reasoning: The interplay between gestures and diagram properties. Paper presented in 11th Conference of International Congress on Mathematical Education (ICME). Monterrey, Mexico
  • Hsu, H.-Y. (2007). Geometric calculations are more than just the application of procedural knowledge. Paper presented in 31st Conference of the International group for Psychology of Mathematics Education. Seoul, Korea
  • Delaney, D., Charalambous, C., Hsu, H.-Y., Mesa, V. (2007). The treatment of addition and subtraction of fractions in Cypriot, Irish, and Taiwanese textbooks. Paper presented in 31st Conference of the International group for Psychology of Mathematics Education. Seoul, Korea.
  • Charalambos, C., Delaney, S., Hsu, H.-Y., Mesa, V. (2007). Opportunities to learn fractions in fourth-grade elementary classes: Insights from an analysis of textbooks used in Cyprus, Ireland, and Taiwan. Presented in Annual Meeting of American Education Research Association. Chicago.
  • Herbst, P., Hsu, H.-Y., Chen, C., González, Jeppsen, A. (2007). Conceptions of figure in high school geometry instruction. Presented in 2007 Annual Meeting of American Education Research Association. Chicago
  • Hsu, H.-Y. (2003). An experimental study of the effects of portfolio assessment and paper-pencil test on mathematical concepts, mathematical communicating capability, and mathematical learning attitude. Presented in the Joint Meeting of 24th Conference of the International Group for Psychology of Mathematics Education, Hawaii, U.S.A

  • 國內研討會發表

  • 葉尹瑄、許慧玉（2023）。以事件相關腦電位探討幾何剛性變換之研究。2023第39屆科學教育國際研討會。台北：國立台灣師範大學
  • 蔡淑君、范力分、許慧玉 （2017）。 包含關係的先備知識─四邊形定義。2017第九屆科技與數學教育國際學術研討會。台中：台中教育大學。
  • 宋筱玲、許慧玉（2016）。國小數學教科書分析：以線對稱圖形單元為例。2016第八屆科技與數學教育國際學術研討會。台中：台中教育大學。
  • 張淯僑、許慧玉（2016）。四年級國小學生對四邊形幾何圖文順序閱讀理解之研究。2016第八屆科技與數學教育國際學術研討會。台中：台中教育大學。
  • 黃國綸、許慧玉（2015）。國中生對三角形重心的初始概念。2015第七屆科技與數學教育國際學術研討會。台中：台中教育大學。

  • 國內外會議邀請演講

  • Lin, F.-L., Hsu, H.-Y., Yang, K.-L., Chen, J.-C., & Lee, K.-W. (2011). Adventuring through big problems as means of innovations in mathematics education, invited speaker in APEC-Ubon Ratchathani International Symposium, Ubon Ratchathani, Thailand.

三、其它

  • 專書

  • 林素微、許慧玉、陳嘉皇、張淑怡、鄭英豪、謝闓如 （2021年09月）。素養導向之國小數學領域教材教法─幾何、代數思維與統計。陳嘉皇主編（ISBN：9786263170322）。台北：五南圖書出版股份有限公司。
  • 林福來、陳建誠、許慧玉、楊凱琳（2015年09月）。主動思考：貼近數學的心跳（ISBN：9789869177979）。台灣：開學文化事業股份有限公司。
  • 其他文章
    Herbst, P. with González, G., Hsu, H.-Y., Chen, C., Weiss, M., and Hamlin, M. (2010). Instructional situations and students' opportunities to reason in the high school geometry class. Manuscript. Deep Blue at the University of Michigan. http://hdl.handle.net/2027.42/78372
     
  • Doctoral dissertation
    Hsu, H.-Y. (2010). The study of Taiwanese students’ experiences with geometric calculation with number (GCN) and their performance on GCN and geometric proof (GP). Unpublished Doctoral Dissertation. Ann Arbor: University of Michigan
     

  • Honors:

  • 2010 SOE Finishing Dissertation Grant (University of Michigan)
  • 2009 Rackham Graduate Student Research Grant (University of Michigan)
  • 2009 SOE Mini Grant (University of Michigan)
  • 2005台灣留學獎學金得主。補助留學兩年，每年補助美金12000元。

  • 期刊&研討會審查

  • Associate editor for International Journal of Science and Mathematics Education (IJSME) (SSCI journal)
  • Editorial Broad member for Educational Studies in Mathematics (ESM) (SSCI journal)
  • Reviewer
    • Mathematical Thinking and Learning (SSCI)
    • Journal of Mathematics Teacher Education (SSCI)
    • Conference of International Group for Psychology of Mathematics Education (PME)
    • Journal for Research on Mathematics Education (SSCI)
    • Computer & Education (SSCI)
    • 教育科學研究期刊(TSSCI)
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