About the Knowledge of Teacher Students in Respect to Problem Orientation in Mathematics Education


Günter Graumann


Problem orientation as a part of mathematics education is required by mathematicians already for a long time and since the beginning of ProMath meetings the situation in school has been improved a little bit, but it is still practiced not sufficiently. Resistors among other enhancements are special beliefs about mathematics education and insufficient knowledge about problem orientation. This is the reason I offered again a seminar for teacher students about problem orientation in mathematics education in summer 2016. In the following first I will briefly discuss different type of problems and then as the main part report and discuss results of a written survey on knowledge to problem orientation at the beginning of the seminar as well as personal comments the students have made during the seminar sessions and in protocols on the seminar sessions.


Download data is not yet available.




Felmer, P. & Pehkonen, E. & Kilpatrck, J. [Eds.](2016). Posing and Solving Mathematical Problems, New York.

Getzels, J.W. & Csikszentmihlyi, M. (1975). From Problem Solving to Problem Finding. In: Taylor, I. A. & Getzels, J. W. (eds.) Perspectives in Creativity, Chicago: Aldine Publishing Company, p. 90-116.

Graumann, G. (2004). Ordering Quadrangles and Analogysing Quadrangles and Triangles to Polyhedrons – A Problem Field with Different Aspects. In: Rehlich, H. & Zimmermann, B. (Hrsg.). ProMath Jena 2003 – Problem Solving in Mathematics Education, Franzbecker: Hildesheim 2004, S. 37 – 50.

Graumann, G. (2009). Problem Orientation in Primary School. In: Burman, L. (Ed.). Problem Solving in Mathematics Education – Proceedings of the 10th ProMath Conference August 28 – 31, 2008 in Vaasa. Publication from the Faculty of Education, Abo Akademi University, Report No 27/2009, Vaasa 2009, S. 87 – 98.

Graumann, G. (2010). Problem Orientation within Teacher Education - a Report about Experiences. In: Ambrus, A, & Vásárhelyi, E. (Eds.) Problem Solving in Mathematics Education – Proceedings of the 11th ProMath conference Sept. 3-6, 2009 in Budapest, Eötvös Loránd University Faculty of Science, Institute of Mathematics, Mathematics Teaching and Education Center, 2010, p. 51 – 59.

Graumann, G. & Pehkonen, E. (2007). Problemorientierung im Mathematikunterricht – ein Gesichtspunkt der Qualitätssteige­rung. In: Teaching Mathematics and Computer Science, Debrecen, p. 251 – 291.

Nohda, N. (1991). Paradigm of the ”open-approach” method in mathematics teaching: Focus on mathematical problem solving. In: Zentralblatt für Didaktik der Mathematik 23 (2), p. 32–37.

Pehkonen, E. (1997). Introduction to the concept "open-ended problem". In: Pehkonen, E. (ed.) Use of open-ended problems in mathematics classroom, 7–11. University of Helsinki. Depart­ment of Teacher Education. Research Report 176.

Silver, E. (1995). The Nature and Use of Open Problems in Mathematics Edu­ca­tion: Math­ema­tical and Pedagogical Perspecti­ves. In: Zentralblatt für Didaktik der Mathematik 27 (2), 67–72.

Silver, E. (1997). Fostering Creativity through Instruction Rich in Math­ematical Problem Solving and Problem Posing. In: Zentralblatt für Didaktik der Mathematik 29 (3), 75–80.

Singer, F. M. & Ellerton, N. F. & Cai, J. [Eds.](2015). Mathematical Problem Posing From Research to Effective Practice. New York.

Zimmermann, B. 1986. From Problem Solving to Problem Finding in Mathematics Instruction. In: Kupari, P. (ed.) Mathematics Education Research in Finland. Yearbook 1985, 81-103. University of Jyväskylä. Institute for Educational Research. Publication Series B: Theory into Practice 3.