TY - GEN
T1 - Self-construction and interactive simulations to support the learning of drawing graphs and reasoning in mathematics
AU - Palha, Sonia
AU - Bouwer, Anders
AU - Bredeweg, Bert
AU - Keulen, Siard
PY - 2020/6/12
Y1 - 2020/6/12
N2 - In mathematics, sciences and economics, understanding and working with graphs are important skills. However, developing these skills has been shown to be a challenge in secondary and higher education as it involves high order thinking processes such as analysis, reflection and creativity. In this study, we present Interactive Virtual Math, a tool that supports the learning of a specific kind of graphs: dynamic graphs which represent the relation between at least two quantities that covary. The tool supports learners in visualizing abstract relations through enabling them to draw, move and modify graphs, and by combining graphs with other representations, especially interactive animations and textual explanations. This paper reports a design experiment about students’ learning graphs with this tool. Results show that students with difficulty in generating acceptable graphs improve their ability while working with the tool.
AB - In mathematics, sciences and economics, understanding and working with graphs are important skills. However, developing these skills has been shown to be a challenge in secondary and higher education as it involves high order thinking processes such as analysis, reflection and creativity. In this study, we present Interactive Virtual Math, a tool that supports the learning of a specific kind of graphs: dynamic graphs which represent the relation between at least two quantities that covary. The tool supports learners in visualizing abstract relations through enabling them to draw, move and modify graphs, and by combining graphs with other representations, especially interactive animations and textual explanations. This paper reports a design experiment about students’ learning graphs with this tool. Results show that students with difficulty in generating acceptable graphs improve their ability while working with the tool.
KW - Adaptive feedback
KW - Covariational reasoning
KW - Graph comprehension
UR - http://www.scopus.com/inward/record.url?scp=85086266877&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-49663-0_43
DO - 10.1007/978-3-030-49663-0_43
M3 - Conference contribution
AN - SCOPUS:85086266877
SN - 9783030496623
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 364
EP - 370
BT - Intelligent Tutoring Systems - 16th International Conference, ITS 2020, Proceedings
A2 - Kumar, Vivekanandan
A2 - Troussas, Christos
PB - Springer
T2 - 16th International Conference on Intelligent Tutoring Systems, ITS 2020
Y2 - 8 June 2020 through 12 June 2020
ER -