Interactive digital documents to promote active learning of undergraduate mathematics
Sandra Gaspar Martins 1 * ,
Vitor Duarte Teodoro 2 More Detail
1 Instituto Superior de Engenharia de Lisboa, Instituto Politécnico de Lisboa, Lisboa, Portugal
2 Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Almada, Portugal
* Corresponding Author
EUR J SCI MATH ED, Volume 2, Issue 2A, pp. 44-53.
https://doi.org/10.30935/scimath/9625
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ABSTRACT
The Interactive Digital Documents (IDDs) are a set of materials designed to support the teaching/learning of Mathematical Analysis/Calculus for Engineering students. They are interactive and promote active participation of students in the teaching/learning by making students choose the options that make sense through ComboBoxes and CheckBoxes, and answer questions through TextFields. They are customizable and are the single document that the students need for the course either in the classroom or in study moments: it contents the slides, the support book, the notebook, the exercises list, etc. The DDIs promote student-centred, collaborative and active learning in which the student evolves at his own pace. They are complemented with the use of software and Moodle quizzes. The approach to concepts: emphasizes mathematics applications; is made starting from the real/concrete approach to the abstract viewpoint; to introduce a concept the focus goes only to that concept, it is not mixed with others; explores multiple representations of concepts, not only the analytical but also the numerical, graphical and verbal ones. The exercises are presented having in mind the proximal development zone of students. The DDIs were tested during a semester in an experimental class to which students bring their own laptop everyday. Their evaluation by the students was strongly positive.
CITATION
Martins, S. G., & Teodoro, V. D. (2014). Interactive digital documents to promote active learning of undergraduate mathematics.
European Journal of Science and Mathematics Education, 2(2A), 44-53.
https://doi.org/10.30935/scimath/9625
REFERENCES
- Anderson, R. D. & Loftsgaarden, D. O. (1987). A special calculus survey: Preliminary report. In L. A. Steen (Ed.), Calculus for a new century (pp. 215-216). Washington, DC: The Mathematical Association of America.
- Artigue, M. (2011). Theories of mathematics education: seeking new frontiers (Advances in Mathematics Education). Research in Mathematics Education, 13(3), 311-316.
- Beichner, R. J. (2008). The SCALE-UP Project: A Student-Centered Active Learning Environment for Undergraduate Programs. Paper presented at the BOSE Conference on Promising Practices-Innovation in Undergraduate STEM Education, Washington, DC.
- Blackwell, L. S., Trzesniewski, K. H., and Dweck, C. S. (2007). Implicit Theories of Intelligence Predict Achievement Across an Adolescent Transition: A Longitudinal Study and an Intervention. Child Development, 78(1), 246-263.
- Caprotti, O., Seppala, M., & Xambó, S. (2007). Novel Aspects of the Use of ICT in Mathematics Education. In M. Iskander (Ed.), Innovations in E-learning, Instruction Technology, Assessment, and Engineering Education (pp. 295-299). Springer Netherlands.
- Chickering, A. W., & Gameson, Z. F. (1987). Seven Principles for good practice. A. A. H. E. Bulletin, 39, 3-7.
- Crouch, C. H., & Mazur, E. (2001). Peer Instruction: Ten years of experience and results. American Journal of Physics, 69(9), 970-977.
- Dori, Y. J., & Belcher, J. (2004). Improving student's understanding of electomagnetism throught visualizations- A large scale study. Paper presented at the 2004 NARST-Annual meeting- National Association for Research in Science Teaching Conference, Vancouver, 1-7.
- Kaput, J. J. (1994). The representational roles of technology in connecting mathematics with authentic experience. In R. Biehler, R. W. Scholz, R. Sträßer & B. Winkelmann (Eds.), Didactics of Mathematics as a Scientific Discipline (pp. 379-397). Dordrecht: Kluwer Academic Publishers.
- Machado, E. (2006). Os computadores na facilitação da aprendizagem: estudo tomando o conceito de função. PhD, Universidade do Minho.
- NCTM. (2000). Principles and standards for school mathematics, Reston, VA.
- Tall, D. O. (1993). Students Difficulties in Calculus. Paper presented at the ICME-7, Québec, Canada, 1-15.
- Teodoro, V. D. (2002). Modellus: Learning Physics with Mathematical Modelling PhD, Universidade Nova de Lisboa, Lisboa.
- Zerr, R. J. (2010). Promoting Students' Ability to Think Conceptually in Calculus. PRIMUS, 20(1), 1-20.