20 SES 11 A JS, Creative Approaches in Mathematics Education
Paper Session Joint Session NW 20 and NW 24
There are many students who dislike mathematics, or don’t understand the purpose of studying it, because they never had the chance to feel mathematics and enjoy it or maybe they had not opportunity to be exposed to an adequate teaching. Even if students aim to understand mathematics, very often and for many reasons, they can’t make connections among several subjects and make use of different tools to approach the same problem. According Kenderov et al. (2009) the classroom is only one of the ‘‘homes’’ of education. The process of acquiring information and develop students knowledge takes place of many forms and in many places. Using the outdoors as a classroom environment can promote positive attitudes and a deep appreciation towards the study of mathematics, perceiving the real-life application of mathematics. A Mathematical Trail “consists of a sequence of stops along a pre-planned route on which students examine mathematics in the environment” (Cross, 1997, p. 38) and offers concrete learning experiences for any of the mathematics concepts taught in the school curriculum. It also offers enormous potential for learning experiences at all ages. This activity, among other features, creates a space for informal meeting on the learning of mathematics simultaneously accomplish the approach to problem solving, making connections, communicating, and applying skills in a meaningful context (Richardson, 2004). A bounty of opportunities exist to utilize the outdoors in orchestrating learning experiences, not only in mathematics, but also through the integration of knowledge with outcomes stated in other curricular and not curricular learning areas. Because it takes place outside the classroom, a math trail creates an atmosphere of adventure and exploration and, at the same time, gives students an opportunity to solve and pose problems. By learning to solve problems and by learning through problem solving, students are given numerous opportunities to connect mathematical ideas and to develop conceptual understanding, having also opportunities to develop their creative thinking. Teachers are the main vehicle for doing this because they have the power to unlock the creative, innovative and critical potential of young students. If we believe that learning mathematics is strongly dependent on the teacher and creativity is connected with problem solving and problem posing, it is necessary, thus, to offer pre-service teachers diverse experiences, in order to develop their problem solving skills.
Teacher education should promote a new vision about mathematics knowledge and teaching, allowing future teachers experiencing the same tasks that we expected they will use with their own pupils.
In recent decades, problem solving has played an important role a bit around the world as an organizing axis of the mathematics curriculum. Students’ mathematic learning should include more than routine tasks, it should be enriched with challenging tasks, such as problem solving. This is of great importance, not only for students but also for teachers, especially if these tasks lead to structural understanding of mathematical concepts and encourage fluency, flexibility and originality as essential components of creative thinking. Teaching that does not provide moments in which students are creative denies them any opportunity to develop their skills in mathematics, but also to appreciate this subject.
To overcome some of the referred shortcomings, we developed a project named Mathematical Trails outside the classroom. With this project, we intended to promote the contact with a contextualized mathematics, starting from the daily life features, walking through and analyzing the city where we live in, connecting some of its details with exploration and investigation tasks in school mathematics. Its aim is to promote a new attitude to mathematics through the observation and exploration of the urban environment, while designing mathematics curriculum for elementary education.
Brown, S. & Walter, M. (2005). The art of problem posing. Mahwah, NJ: Erlbaum. Cross, R. (1997). Developing Maths Trails. Mathematics Teaching, 158, 38–39. Kenderov, P., Rejali, A., Bartolini Bussi, M., Pandelieva, V., Richter, K., Maschietto, M., Kadijevich, D., & Taylor, P. (2009). Challenges Beyond the Classroom—Sources and Organizational Issues. In E. Barbeau & P. Taylor (Eds.), Challenging Mathematics In and Beyond the Classroom – New ICMI Study Series 12 (pp. 53-96). Springer. Leikin, R. (2009). Exploring mathematical creativity using multiple solution tasks. In R. Leikin, A. Berman and B. Koichu (Eds.), Creativity in mathematics and the education of gifted students (pp. 129-145). Rotterdam, Netherlands: Sense Publishers National Council of Teachers of Mathematics (2000). Principles and standards for school mathematics. Reston, VA: NCTM. Richardson, K. (2004). Designing math trails for the elementary school. Teaching Children Mathematics, 11, 8-14. Silver, E. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM, 3, 75-80.
00. Central Events (Keynotes, EERA-Panel, EERJ Round Table, Invited Sessions)
Network 1. Continuing Professional Development: Learning for Individuals, Leaders, and Organisations
Network 2. Vocational Education and Training (VETNET)
Network 3. Curriculum Innovation
Network 4. Inclusive Education
Network 5. Children and Youth at Risk and Urban Education
Network 6. Open Learning: Media, Environments and Cultures
Network 7. Social Justice and Intercultural Education
Network 8. Research on Health Education
Network 9. Assessment, Evaluation, Testing and Measurement
Network 10. Teacher Education Research
Network 11. Educational Effectiveness and Quality Assurance
Network 12. LISnet - Library and Information Science Network
Network 13. Philosophy of Education
Network 14. Communities, Families and Schooling in Educational Research
Network 15. Research Partnerships in Education
Network 16. ICT in Education and Training
Network 17. Histories of Education
Network 18. Research in Sport Pedagogy
Network 19. Ethnography
Network 20. Research in Innovative Intercultural Learning Environments
Network 22. Research in Higher Education
Network 23. Policy Studies and Politics of Education
Network 24. Mathematics Education Research
Network 25. Research on Children's Rights in Education
Network 26. Educational Leadership
Network 27. Didactics – Learning and Teaching
The programme is updated regularly (each day in the morning)
- Search for keywords and phrases in "Text Search"
- Restrict in which part of the abstracts to search in "Where to search"
- Search for authors and in the respective field.
- For planning your conference attendance you may want to use the conference app, which will be issued some weeks before the conference
- If you are a session chair, best look up your chairing duties in the conference system (Conftool) or the app.