**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30174

##### Do Students Really Understand Topology in the Lesson? A Case Study

**Authors:**
Serkan Narli

**Abstract:**

**Keywords:**
Mathematics Education,
Teacher Education,
Topology.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1079220

**References:**

[1] Doran, R. L. (1972). Misconceptions of selected science concepts held by elementary school students. Journal of Reserach in Science Teaching, 9 (2), 127-137.

[2] Wittrock, M.C. (1974). Learning as a generative process, Educational Psychology, 11, 87-95.

[3] Albert, E. (1978). Development of the concept of heat in children. Science Education, 63, 389-99.

[4] Osborne, R., & Freyberg, P. (1985). Learning in science: The implications of children-s science. Auckland, NZ: Heinemann.

[5] Driver, R., Guesne, E., & Tiberghien, A. (1985). Children-s ideas in science. Buckingham: Open University Press.

[6] Hilton, P. (1971), Topology in the High School, Educational Studies in Mathematics, voI.3, pp.436-453.

[7] Yates, D.S. (1971), The Development and Evaluation of a Text in the Topology of the Plane for Secondary Teachers, Unpublished thesis for the PhD The Florida State University , Florida, USA

[8] Paul J. Kelly (1971), Topology and Transformations in High School Geometry Educational Studies in Mathematics 3 477-481.

[9] Wallrabenste─▒n, H. (1973), Experiments in Teaching Intuitive Topology in the 5th and 6th Grades, Educational Studies in Mathematics, voI.5, pp.91-108.

[10] Ramesh Kapadia (1974) A Critical Examination of Piaget-Inhelder-s View on Topology, Educational Studies in Mathematics 5, 419-424

[11] 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

[12] Wilhelm Schipper (1983) The Topological Primacy Theses: Genetic and Didactic Aspects, Educational Studies in Mathematics 14, 285-296

[13] Marshall, J. (1987), Examination of a Learning Style Topology, Research in Higer Education, voI.26-4, pp.417-429.

[14] Mahoney, M.W. (1991), Intuitive Topology for the High School Geometry Classroom, Unpublished thesis for Master Degree. Kean College of New Jersey , USA

[15] Smith, H. (2001), A Student-Oriented Approach to Topology, Unpublished thesis for the PhD. University of Illinois at Urbana- Champaign, Illinois, USA

[16] Hairstone S.E., (2003), R.L. Moore Radical Constructivism, Unpublished thesis for the Ph D. University of Incarnate Word, USA

[17] Lewis, A.C., (2004), The beginnings of the R.L. Moore school of topology, Historia Mathematica 31 (2004) 279-295

[18] 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

[19] 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.

[20] Karasar,N (2003). Bilimsel Ara┼ƒt─▒rma Yöntemi, ISBN:975-591-046-8 Nobel Yay─▒n Da─ƒ─▒t─▒m 12. Bask─▒, ANKARA