The Design Framework of Mathematical Proof Learning of Mathematics Education Department Students
- DOI
- 10.2991/icamr-18.2019.52How to use a DOI?
- Keywords
- Design framework of learning, learning trajectory, mathematical proof
- Abstract
The present research is intended to develop a learning design of the topic which then can be integrated into several subjects. Fundamental research suggests the causes and the types of students’ difficulties in a mathematical proof, namely a lack of understanding of mathematical proof, mathematical symbols and logic, and mathematical evidentiary strategies. Seeing the difficulties of students in proving mathematics, it is necessary to develop a framework of learning design of mathematical proof, which will later become the basis for the design of mathematical proof learning. The purpose of the research was identifying the learning paths of mathematical proof learning, as a framework in developing learning scenarios based on those stages.The research was carried out for one year, derived by a study of the critical analysis of observations on mathematical proving activities including questions and answers based task.The findings of the study suggest that (1) the stages of the learning trajectory include: (a) experience and fundamentals, i.e. giving examples and strengthening the principles of proof, (b) proving with simple proof trajectory, that is proof of statement that can be solved by trajectory single thought, (c) existence proof, that is proof of the existence or non-existence of facts or concepts, (d) proving with a simple proof trajectory, and (e) proving through construction, (2) Students can visually create flowcharts to guide proof writing. However, there are difficulties in writing symbols and writing mathematical reasons that link the series of statements in proof.
- Copyright
- © 2019, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Ilham Minggi AU - Usman Mulbar PY - 2019/04 DA - 2019/04 TI - The Design Framework of Mathematical Proof Learning of Mathematics Education Department Students BT - Proceedings of the 1st International Conference on Advanced Multidisciplinary Research (ICAMR 2018) PB - Atlantis Press SP - 210 EP - 213 SN - 2352-5398 UR - https://doi.org/10.2991/icamr-18.2019.52 DO - 10.2991/icamr-18.2019.52 ID - Minggi2019/04 ER -