EXPLORING THE RESULT OF THALES THEOREM AND ITS RELATIONSHIP TO OTHER SHAPES AMONG IRANIAN MATHEMATIC HIGH SCHOOL STUDENTS

Yıl 2014, Cilt: 1 , 397 - 401, 01.09.2014

Roghayeh Akhbarı

Öz

• This
  paper sheds more lights on finding out a new methodology in teaching Thales
  theorem results and working with fractions in similarity to help students
  analyze Thales theorem and come up to some solutions with solving any problems
  related to the pieces of Cross Chords of Circle, Right Triangle and Right
  Trapezoid. In this regarding, I have come to a conclusion, from fourteen years
  of teaching experience in mathematics to Iranian high school students, that the
  best way could be starting from theorem statements to hypotheses as well as
  using properties of fractions. Therefore, in this study pre test-post test
  experimental design with control group was used and sample of the study was
  composed of 44 Iranian second graders at high school. It was concluded that meaningful
  differences in favor of experimental group and success in pre test-post test
  comparisons were obtained.

Anahtar Kelimeler

Thales theorem results, fraction properties, similarity

Kaynakça

• Bakhtiari, Javad. (1985). Nature and Geometry of Hieroglyphics. Dieudonne, J. (1981). The universal domination of geometry. ZDM, 13(1), 5-7. Discussion Document for an ICME Study (1994). Perspective on teaching of geometry for 21st century. Dukowski, L, & etal. (1988). Mathematics 8: Houghton Mifflin Canada Limited. Gooya, Zahra, Azad, Soheila Gholam, Niusha, Jafar, Zangane, Bijan Zohoori, Babaei, Javad Haji, & Poor, Rohollah Jahani. (2014). Geometry I. Hoechsmann, K. (1991). Lecture notes. Mathematics Department, The University of British Colombia. Vancouver Canada. Hoffer, A. (1981). Geometry is more than Proof. Mathematics Teacher, 74(1), 11-26. Jacobs, H.R. (1974). Geometry: W.H.Freeman & Company. Jacobs, H.R. (1982). Mathematics,A Human Endeavor (2nd ed.): W.H.Freeman & Company. Kalin, R, & Corbitt, M.K. (1990). Geometry: Teachers' Edition: Prentice Hall, N J. Kelly, B, Alexander, B, & Atkinson, P. (1987). Mathematics 10. Addison Wesley Pub. Ltd Kerr, D.R, JR. (1981). A geometry from National Assesment. Mathematics Teacher, 74(1), 27-32. Kline, M. (1974). Why Johnny Can't add: The failure of the New Math.: New york: Vintage Books. Lakatos, I. (1977). Proofs and refutations: The loginc of mathematical discovery: London: Cambridge University Press. Lang, S, & Murrow, G. (1988). Geometry: A High School Course (2nd ed.): Springer-Verlag. Moise, Edwin Evariste, & Downs, Floyd L. (1986). Geometria moderna: Addison-Wessley lberoamericana. National Council of Teachers of Mathematics(NCTM). (1970). A History of Mathematics Education in the United States and Canada. Thirty Second year book. Author. National Council of Teachers of Mathematics(NCTM). (1985). Secondary School Mathematics Curriculum: 1985 Year Book. Edited by C.R.Hisch. Reston, VA: Author. National Council of Teachers of Mathematics(NCTM). (1987). Leraning and Teaching Geometry, K-12: 1987 Yearbook. Edited by M.M. Lindquist. Reston, VA: Author. National Council of Teachers of Mathematics(NCTM). (1989). Curriculum and Evaluation Standards for School Mathematics. Reston, VA: Author. National Council of Teachers of Mathematics(NCTM). (1991). Geometry from Multiple Perspectives. Addena Series, Grades 9-12: Author. Robitaille, D.F. (1973). Why are we teaching high school Geometry? Vector 14(4), 13-22. Senk, S. (1989). Van Hiele levels and achievement in writing geometry proofs. Journal of Research in Mathematics Education, 20(3), 309. Steen, L. A.(ed). (1990). On the shoulders of Giants: New approach to numeracy: National Academy Press, Washington D.C. Stone, M. (1971). Learning and teaching axiomatic geometry. Educational Studies in Mathematics, 4, 91-103. Welchons, A. M, Krichenberger, W. R, & H.R, Pearson &. (1976). Plane Geometry: Ginn & Company