|
[1]
|
张奇(2023). 规则样例学习理论. 科学出版社.
|
|
[2]
|
Boero, P. (1999). Argumentation and Mathematical Proof: A Complex, Productive, Unavoidable Relationship in Mathematics and Mathematics Education. International Newsletter on the Teaching and Learning of Mathematical Proof.
|
|
[3]
|
Bos, R., & van den Bogaart, T. (2022). Heuristic Trees as a Digital Tool to Foster Compression and Decompression in Problem-Solving. Digital Experiences in Mathematics Education, 8, 157-182.[CrossRef]
|
|
[4]
|
Brame, C. J. (2016). Effective Educational Videos: Principles and Guidelines for Maximizing Student Learning from Video Content. CBE—Life Sciences Education, 15, 1-6.[CrossRef] [PubMed]
|
|
[5]
|
Conati, C., & Vanlehn, K. (2000). Toward Computer-Based Support of Meta-Cognitive Skills: A Computational Framework to Coach Self-Explanation. International Journal of Artificial Intelligence in Education, 11, 389-415.
|
|
[6]
|
Gray, C. M., McKilligan, S., Daly, S. R., Seifert, C. M., & Gonzalez, R. (2019). Using Creative Exhaustion to Foster idEa Generation. International Journal of Technology and Design Education, 29, 177-195.[CrossRef]
|
|
[7]
|
Hänze, M., & Leiss, D. (2022). Using Heuristic Worked Examples to Promote Solving of Reality-Based Tasks in Mathematics in Lower Secondary School. Instructional Science, 50, 529-549.[CrossRef]
|
|
[8]
|
Hilbert, T. S., Renkl, A., Kessler, S., & Reiss, K. (2008a). Learning to Prove in Geometry: Learning from Heuristic Examples and How It Can Be Supported. Learning & Instruction, 18, 54-65.[CrossRef]
|
|
[9]
|
Hilbert, T. S., Renkl, A., Schworm, S., Kessler, S., & Reiss, K. (2008b). Learning to Teach with Worked-Out Examples: A Computer-Based Learning Environment for Teachers: Original Article. Journal of Computer Assisted Learning, 24, 316-332.[CrossRef]
|
|
[10]
|
Hinds, P. J., Patterson, M., & Pfeffer, J. (2001). Bothered by Abstraction: The Effect of Expertise on Knowledge Transfer and Subsequent Novice Performance. Journal of Applied Psychology, 86, 1232-1243.[CrossRef] [PubMed]
|
|
[11]
|
Kay, R. H. (2014). Developing a Framework for Creating Effective Instructional Video Podcasts. International Journal of Emerging Technologies in Learning, 9, 22-30.[CrossRef]
|
|
[12]
|
Kollar, I., Ufer, S., Reichersdorfer, E., Vogel, F., Fischer, F., & Reiss, K. (2014). Effects of Collaboration Scripts and Heuristic Worked Examples on the Acquisition of Mathematical Argumentation Skills of Teacher Students with Different Levels of Prior Achievement. Learning and Instruction, 32, 22-36.[CrossRef]
|
|
[13]
|
Kulgemeyer, C. (2018). A Framework of Effective Science Explanation Videos Informed by Criteria for Instructional Explanations. Research in Science Education, 50, 2441-2462.[CrossRef]
|
|
[14]
|
Lechner, M., Moser, S., Pander, J., Geist, J., & Lewalter, D. (2024). Learning Scientific Observation with Worked Examples in a Digital Learning Environment. Frontiers in Education, 9, Article 1293516.[CrossRef]
|
|
[15]
|
Lee, C. Y., & Chen, M. J. (2015). Effects of Worked Examples Using Manipulatives on Fifth Graders’ Learning Performance and Attitude toward Mathematics. Journal of Educational Technology & Society, 18, 264-275.
|
|
[16]
|
Mayer, R. E. (2020). Multimedia Learning (3rd ed.). Cambridge University Press.[CrossRef]
|
|
[17]
|
Mulder, Y. G., Lazonder, A. W., & Jong, T. D. (2014). Using Heuristic Worked Examples to Promote Inquiry-Based Learning. Learning & Instruction, 29, 56-64.[CrossRef]
|
|
[18]
|
Reiss K., Heinze A., Renkl, A., & Groß, C. (2008). Reasoning and Proof in Geometry: Effects of a Learning Environment Based on Heuristic Worked-Out Examples. ZDM, 40, 455-467.[CrossRef]
|
|
[19]
|
Reiss, K., & Renkl, A. (2002). Learning to Prove: The Idea of Heuristic Examples. Zentralblatt für Didaktik der Mathematik, 34, 29-35.[CrossRef]
|
|
[20]
|
Reiss, K., Heinze, A., Kessler, S., Rudolph-Albert, F., & Renkl, A. (2007). Fostering Argumentation and Proof Competencies in the Mathematics Classroom. In M. Prenzel (Ed.), Studies on the Educational Quality of Schools (pp. 251-264). Waxmann. https://www.mendeley.com/catalogue/bd3d1b30-2492-30ee-9faa-b335c1a3ebb1/
|
|
[21]
|
Renkl, A. (2014). Toward an Instructionally Oriented Theory of Example-Based Learning. Cognitive science, 38, 1-37.[CrossRef] [PubMed]
|
|
[22]
|
Renkl, A., & Schworm, H. S. (2009). Example-Based Learning in Heuristic Domains: A Cognitive Load Theory Account. Educational Psychology Review, 21, 67-78.[CrossRef]
|
|
[23]
|
Rittle-Johnson, B., & Loehr, A. M. (2017). Eliciting Explanations: Constraints on When Self-Explanation Aids Learning. Psychonomic Bulletin & Review, 24, 1501-1510.[CrossRef] [PubMed]
|
|
[24]
|
Schoenfeld, A. (1983). Episodes and Executive Decisions in Mathematical Problem-Solving. In R. Lesh, & M. Landau (Eds.), Acquisition of Mathematics Concepts and Processes (pp. 345-395). Academic Press.
|
|
[25]
|
Schoenfeld, A. (1985). Mathematical Problem-Solving. Academic Press.
|
|
[26]
|
Schwaighofer, M., Vogel, F., Kollar, I., Ufer, S., Strohmaier, A., Terwedow, I. et al. (2017). How to Combine Collaboration Scripts and Heuristic Worked Examples to Foster Mathematical Argumentation—When Working Memory Matters. International Journal of Computer-Supported Collaborative Learning, 12, 281-305.[CrossRef]
|
|
[27]
|
Stender, P. (2018). The Use of Heuristic Strategies in Modelling Activities. ZDM, 50, 315-326.[CrossRef]
|
|
[28]
|
Van Gog, T., Paas, F., & Van Merriënboer, J. J. G. (2004). Process-Oriented Worked Examples: Improving Transfer Performance through Enhanced Understanding. Instructional Science, 32, 83-98.[CrossRef]
|
|
[29]
|
Vogel, F., Kollar, I., Fischer, F., Reiss, K., & Ufer, S. (2022). Adaptable Scaffolding of Mathematical Argumentation Skills: The Role of Self-Regulation When Scaffolded with CSCL Scripts and Heuristic Worked Examples. International Journal of Computer-Supported Collaborative Learning, 17, 39-64.[CrossRef]
|
|
[30]
|
Vogel, F., Kollar, I., Ufer, S., Reichersdorfer, E., Reiss, K., & Fischer, F. (2016). Developing Argumentation Skills in Mathematics through Computer-Supported Collaborative Learning: The Role of Transactivity. Instructional Science, 44, 477-500.[CrossRef]
|
|
[31]
|
Wirth, L. (2022). Developing a Framework for Creating Heuristic Worked Example Videos to Enhance Students’ Modeling Competencies. In Twelfth Congress of the European Society for Research in Mathematics Education. https://www.researchgate.net/publication/362864042_Developing_a_framework_for_creating_heuristic_worked_example_videos_to_enhance_students'_modeling_competencies
|
|
[32]
|
Wirth, L., & Greefrath, G. (2024). Working with an Instructional Video on Mathematical Modeling: Upper-Secondary Students’ Perceived Advantages and Challenges. ZDM—Mathematics Education. [CrossRef]
|