Commenced in January 2007
Paper Count: 32131
Do Students Really Understand Topology in the Lesson? A Case Study
Authors: Serkan Narli
Abstract:This study aims to specify to what extent students understand topology during the lesson and to determine possible misconceptions. 14 teacher trainees registered at Secondary School Mathematics education department were observed in the topology lessons throughout a semester and data collected at the first topology lesson is presented here. Students- knowledge was evaluated using a written test right before and after the topology lesson. Thus, what the students learnt in terms of the definition and examples of topologic space were specified as well as possible misconceptions. The findings indicated that students did not fully comprehend the topic and misunderstandings were due to insufficient pre-requisite knowledge of abstract mathematical topics and mathematical notation.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1079220Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1308
 Doran, R. L. (1972). Misconceptions of selected science concepts held by elementary school students. Journal of Reserach in Science Teaching, 9 (2), 127-137.
 Wittrock, M.C. (1974). Learning as a generative process, Educational Psychology, 11, 87-95.
 Albert, E. (1978). Development of the concept of heat in children. Science Education, 63, 389-99.
 Osborne, R., & Freyberg, P. (1985). Learning in science: The implications of children-s science. Auckland, NZ: Heinemann.
 Driver, R., Guesne, E., & Tiberghien, A. (1985). Children-s ideas in science. Buckingham: Open University Press.
 Hilton, P. (1971), Topology in the High School, Educational Studies in Mathematics, voI.3, pp.436-453.
 Yates, D.S. (1971), The Development and Evaluation of a Text in the Topology of the Plane for Secondary Teachers, Unpublished thesis for the PhD The Florida State University , Florida, USA
 Paul J. Kelly (1971), Topology and Transformations in High School Geometry Educational Studies in Mathematics 3 477-481.
 Wallrabenste─▒n, H. (1973), Experiments in Teaching Intuitive Topology in the 5th and 6th Grades, Educational Studies in Mathematics, voI.5, pp.91-108.
 Ramesh Kapadia (1974) A Critical Examination of Piaget-Inhelder-s View on Topology, Educational Studies in Mathematics 5, 419-424
 Bess, J. L. (1977), The Entering FreshmenTopology: Guidlines fort he Design of a Student Data Collection System and Its Use in Teaching and Administration, report. Teachers Collage, Columbia University, New York, USA
 Wilhelm Schipper (1983) The Topological Primacy Theses: Genetic and Didactic Aspects, Educational Studies in Mathematics 14, 285-296
 Marshall, J. (1987), Examination of a Learning Style Topology, Research in Higer Education, voI.26-4, pp.417-429.
 Mahoney, M.W. (1991), Intuitive Topology for the High School Geometry Classroom, Unpublished thesis for Master Degree. Kean College of New Jersey , USA
 Smith, H. (2001), A Student-Oriented Approach to Topology, Unpublished thesis for the PhD. University of Illinois at Urbana- Champaign, Illinois, USA
 Hairstone S.E., (2003), R.L. Moore Radical Constructivism, Unpublished thesis for the Ph D. University of Incarnate Word, USA
 Lewis, A.C., (2004), The beginnings of the R.L. Moore school of topology, Historia Mathematica 31 (2004) 279-295
 Padraig M., McLoughlin M. M., (2008), Inquiry Based Learning: A Modified Moore Method Approach to Encourage Student Research, 11th Annual Legacy of R. L. Moore Conference, University of Pennsylvania, Kutztown
 Padraig M., McLoughlin M. M., (2008), Crossing the Bridge to Higher Mathematics: Using a Modified Moore Approach to Assist Students Transitioning to Higher Mathematics, Annual Meeting of the Mathematical Association of America, University of Pennsylvania, Kutztown, San Diego.U.S.A.
 Karasar,N (2003). Bilimsel Ara┼ƒt─▒rma Yöntemi, ISBN:975-591-046-8 Nobel Yay─▒n Da─ƒ─▒t─▒m 12. Bask─▒, ANKARA