Notes
The readers are invited to use applets, which were prepared for the lessons, or to create similar ones: https://www.geogebra.org/classic/fpuaceds; https://www.geogebra.org/classic/huvywfzq; https://www.geogebra.org/m/arq9frkj; https://www.geogebra.org/classic/gp4bpk2q.
References
Fan, L., Qi, C., Liu, X., Wang, Y., & Lin, M. (2017). Does a transformation approach improve students’ ability in constructing auxiliary lines for solving geometric problems? An intervention-based study with two Chinese classrooms. Educational Studies in Mathematics, 96, 229–248.
Palatnik, A., & Dreyfus, T. (2018). Introduction of auxiliary lines by high school students in proving situations. The Journal of Mathematical Behavior. https://doi.org/10.1016/j.jmathb.2018.10.004
Palatnik, A., & Sigler, A. (2018). Focusing attention on auxiliary lines when introduced into geometric problems. International Journal of Mathematical Education in Science and Technology. https://doi.org/10.1080/0020739X.2018.1489076
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Palatnik, A. A pedagogical potential of one mathematical inaccuracy. Educ Stud Math 103, 121–124 (2020). https://doi.org/10.1007/s10649-019-09922-6
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DOI: https://doi.org/10.1007/s10649-019-09922-6