Year :2019, Volume 2, Issue 1, Pages: 3746
06.04.2019
Multiple solution problems and mathematical thinking: Wasan geometry example
Ozlem Cezikturk,
Abstract
Wasan geometry flourished in Edo period of Japan as arty, multiple solutioned and systematic. Teachers are not open and papers are not evaluated. Multiple solutions are seen in parallel with advanced mathematics thinking. 80 middle school and 37 high school pre service math teachers were given a Wasan problem and grouped according to correct answers, different answers, and originality. 24 different answers (equality of diagonals of a square, symmetry, equality of tangent lines, auxiliary lines and auxiliary shapes, cosines’ theorem, tan (67.5), similarities, types of triangles etc.) were detected. Answers were also coded for composite answers (who include two different rules), or simple one ways, first answers, similar solution ways and 56 different solutions.
Keywords:
multiple solution tasks, wasan geometry, mathematical thinking
References
[1]CezikturkKipel O, Özdemir AŞ. Wasan Geometrisi Öğretiminin van Hiele Geometrik Düşünce Düzeylerine uygulaması ve öğretmen adaylarının öğrenme durumlarına etkileri. Avrasya Eğitim ve Literatür Dergisi.2016;4: 1727.
[2]Hosking RJ. Solving sangaku: A traditional solution to a nineteenth century japanese temple problem, J. Hist. Math, 2010,1 Mart 2018 https://arxiv.org/ftp/arxiv/papers/1702/1702.01350.pdf adresinden edinilmiştir.
[3]Leikin R. Challenging Mathematics with Multiple Solution Tasks and Mathematical Investigations in Geometry, (.Eds. ) Y. Eli.et.al. , Transforming Mathematics Instruction: Multiple Approaches and Practices, Advances in Mathematics Education,, 2014;pp. 5980.
[4]Rigby JF. Traditional japanese geometry, Mathematical Medley, 1996;4145.
[5]Schoenfeld A. Learning to think mathematically: Problem solving, metacognition, and sense making in mathematics (reprint) Journal of Education, 2016;196: 2,139.
[6]Silver E. Fostering Creativity through Instruction Rich in Mathematical Problem Solving and Problem Posing, ZDM, 1997;313: 7580.
[7]Stupel M, BenChaim D. Using multiple solutions to mathematical problems to develop pedagogical and mathematical thinking: A case study in a teacher education program, Investigations in Mathematics Learning, 2017;9:2, 86108.
[8]Waynberg, AL, Leikin R. Multiple solutions for a problem: a tool for evaluation of mathematical thinking in geometry, CERME 6: France;2009.
Cite

@article{acperproISEC2019ID10, author={Cezikturk, Ozlem}, title={Multiple solution problems and mathematical thinking: Wasan geometry example}, journal={Academic Perspective Procedia}, eissn={26675862}, volume={2}, year=2019, pages={3746}}

Cezikturk, O.. (2019). Multiple solution problems and mathematical thinking: Wasan geometry example. Academic Perspective Procedia, 2 (1), 3746. DOI: 10.33793/acperpro.02.01.10

%0 Academic Perspective Procedia (ACPERPRO) Multiple solution problems and mathematical thinking: Wasan geometry example% A Ozlem Cezikturk% T Multiple solution problems and mathematical thinking: Wasan geometry example% D 06.04.2019% J Academic Perspective Procedia (ACPERPRO)% P 3746% V 2% N 1% R doi: 10.33793/acperpro.02.01.10% U 10.33793/acperpro.02.01.10

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