dc.contributor.author | Miyazaki, M | |
dc.contributor.author | Fujita, T | |
dc.contributor.author | Jones, K | |
dc.date.accessioned | 2018-09-13T10:52:14Z | |
dc.date.issued | 2019-10-02 | |
dc.description.abstract | This study explores how a proving task with technology can be designed to develop students’ strategic knowledge of how to construct alternative proofs to the same problem, and how the designed task enriched their strategic knowledge in proving in the context of geometrical proof. The designed task had three components; open problem with flow-chart proofs, learning environment with web-based proof learning support system, and process of expressing strategic knowledge of how to reconstruct proofs. By analyzing experimental lessons with a grade 8 class (students aged 13-14), we found that these task components, and their interactions, contributed to developing students’ strategic knowledge. Using open problems with flow-chart proofs in a web-based proof learning support system enabled students to find alternative proofs to the same problem, and promoted the process of them expressing their strategic knowledge of how to reconstruct proofs. | en_GB |
dc.description.sponsorship | This research was supported by the Grant-in-Aid for Scientific Research, Ministry of
Education, Culture, Sports, Science, and Technology, Japan. | en_GB |
dc.identifier.citation | In: Proof Technology in Mathematics Research and Teaching, edited by Gila Hanna, David Reid and Michael de Villiers, pp. 291-312. Mathematics Education in the Digital Era, vol 14. | en_GB |
dc.identifier.doi | 10.1007/978-3-030-28483-1_14 | |
dc.identifier.uri | http://hdl.handle.net/10871/33983 | |
dc.language.iso | en | en_GB |
dc.publisher | Springer | en_GB |
dc.rights.embargoreason | Under embargo until 2 October 2021 in compliance with publisher policy | en_GB |
dc.rights | © Springer Nature Switzerland AG 2019 | |
dc.subject | task design | en_GB |
dc.subject | web-based proof learning support system | en_GB |
dc.subject | strategic knowledge | en_GB |
dc.title | Web-Based Task Design Supporting Students’ Construction of Alternative Proofs | en_GB |
dc.type | Book chapter | en_GB |
dc.contributor.editor | Hanna, G | en_GB |
dc.contributor.editor | Reid, D | en_GB |
dc.contributor.editor | de Villiers, M | en_GB |
dc.relation.isPartOf | Proof Technology in Mathematics Research and Teaching | en_GB |
dc.description | This is the author accepted manuscript. The final version is available from Springer via the DOI in this record | en_GB |
dc.rights.uri | http://www.rioxx.net/licenses/all-rights-reserved | |