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On the Misconceptions of 10th Grade Students about Analytical Geometry

Date: July 25,2018 |Hits: 6955 Download PDF How to cite this paper

Ayten Ozkan, Erdogan Mehmet Ozkan *, Sadullah Karapıcak

Department of Mathematics, Yıldız Technical University, Istanbul, Turkey.

*Corresponding author: Erdogan Mehmet Ozkan, Associate Professor


Mathematics is an indispensable tool of science and technology and a part of everyday life. Mathematics education is the most important factor in the rational approach of individuals to analytical thinking and problem solving of log problems. Errors and misconception are one of the factors that make mathematics education difficult. The purpose of this research is to determine the relationship between the misconceptions of errors and concepts about analytical geometry, the attitudes of students towards analytic geometry, and the misconceptions of analytical geometry in order to overcome the object misconceptions. In the first stage, 2552 students in the 10th grade were studied. In the second stage, 299 students were studied and 10 students were interviewed to elicit the conceptual misconceptions from these students. The reason that the mathematical subjects are connected with each other is that the missing or wrong information obtained in previous sections leads to misconceptions in the course of the proceedings. For this reason, it is necessary for the student to go to new subjects by eliminating the misconceptions of the past. 


 Arter,  J.  A.,  Chappuis  J.,  Chappuis,  S.,  &  veStiggins,  R. J. (2007).  Classroom  Assessment  for  Student  Learning:  Doing  It  Right –Using  It Well. United State of America: Allyn & Bacon

Aygor,  N.,  &  Ozdag,  H. (2012). Misconceptions in  Linear  Algebra:  The  Case  of  Undergraduate  Students. Procedia-Social  and  Behavioral Sciences, 46, 2989-2994.

Baykul, Y. (2003). Matematik Öğretimi ve Bazı Sorunlar. Matematikçiler Derneği Bilim Köşesi.

Ben-Hur, M. (2006). Concept Rich Mathematics Instruction: Building a Strong Foundation for Reasoningand Problem Solving. The United States of America: Association for Supervision & Curriculum Development.

Biza, I., Nardi, E., & Zachariades, T. (2018). Competences of Mathematics Teachers in Diagnosing Teaching Situations and Offering Feed-back  to  Students:  Specificity,  Consistency  and  Reification  of  Pedagogical  and  Mathematical  Discourses.  In  Diagnostic  Competence  of Mathematics Teachers (pp. 55-78). Springer, Cham.

Booth, J. L., & Koedinger, K. R. (2008, January). Key Misconceptions in Algebraic Problem Solving. In Proceedings of the Cognitive Sci-ence Society (Vol. 30, No. 30).

Breigheith, M., & Kuncar, H. (2002). Mathematics and Mathematics Education, S. Elaydi, S. K. Jain, M. Saleh, R. Ebu-Saris, E. Titi (Ed), Misconceptions in Mathematics, 122-134.

Chang, C. Y. (1995). A Study of the Way of Students' Constructing Geometry Concept and the Evaluation of the Effects of Geometry Teach-ing Strategies with Integrated Cooperative Learning. Bulletin of Educational Psychology, 28, 144-174.

Crompton, H., Grant,M. R., & Shraim, K. Y. (2018). Technologies to Enhance and Extend Children’s Understanding of Geometry: A Con-figurative Thematic Synthesis of the Literature. Journal of Educational Technology & Society, 21(1), 59-69.

Cutugno,  P.,   &   Spagnolo,  F.  (2002).   Misconception   about  Triangle  in   Elementary   School.   Retrieved   September,  23,  2017,   from http://math.math.unipa.it/~grim/SiCutugnoSpa.PDFDraper, R. J. & McIntosh, M. E. (2001). Using Learning Logs in Mathematics: WritingtoLearn. MathematicsTeachers, 94 (7), 554-555.

Fischbein, E. (1987). Intuition in Science and Mathematics: An Educational Approach. Boston: D. Reidel.

Fischbein, E. (1999). Intuitions and Schemata in Mathematical Reasoning. Educational Studies in Mathematics, 38(1/3), 11-50.

Goris,  T.,  &  Dyrenfurth, M. (2010).  Students’ Misconceptions  in Science,  Technology,  and  Engineering.  In  ASEE  Illinois/Indiana  Section Conference.

Hadjidemetriou, C., & Williams, J. (2002). Children’s Graphical Conceptions. Research in Mathematics Education, 4(1), 69-87.

Harmin,  M.,&  Toth,  M.  (2006).  Inspiring  Active  Learning:  A  Complete  for  Handbook  for  Today's  Teachers.  Unted  States  of  Ameri-ca:Association Supervision & Curriculum Development.

Hindman, J. L.,Stronge, J. H. & Tucker, P. D. (2004). Handbook for Qualities of Effective Teachers. United States of America:Association for Supervision & Curriculum Development.

Hohmann, C. H. A. R. L. E. S. (1991). High scope K-3 Curriculum Series: Mathematics. Ypsilanti, MI: High/Scope.

Kazemi,  F.,&  Ghoraishi,  M. (2012).  Comparison  of Problem-Based Learning Approach and Traditional Teaching  on Attitude, Misconcep-tions and Mathematics Performance of University Students. Procedia-Social and Behavioral Sciences, 46, 3852-3856.

Kazunga, C., & Bansilal, S. (2018). Misconceptions about Determinants. Challenges and Strategies in Teaching Linear Algebra, 127.

Kustos, P., & Zelkowski, J. (2013). Grade-Continuum Trajectories of Four Known Probabilistic Misconceptions: What Are Students’Percep-tions of Self-Efficacy in Completing Probability Tasks?The Journal of Mathematical Behavior, 32(3), 508-526.

Lai, M. Y.,& Wong, J. P. (2017). Revisiting Decimal Misconceptions from a New Perspective: TheSignificance of Whole Number Bias in the Chinese Culture. The Journal of Mathematical Behavior, 47, 96-108.

Luchins, A. S.,& Luchins, E. H. (1985). Student’s Misconceptions in Geometric Problem Solving. Gestalt Theory.

Mason, M. M.  (1989).  Geometric  Understanding  and Misconceptions  among  Gifted  Fourth-Eighth  Graders.  Paper  presented  at the Annual Meetin4 of the American Educational Research Association (SanFrancisco, CA, March 27-31, 1989).

Mikkilä-Erdmann,  M.  (2001).  Improving Conceptual Change Concerning Photosynthesis  through Text Design. Learning  and  Instruction, 11(3), 241-257.

NRCS. (1997). Science Teacher Reconcidered: A Handbook. Washington: National Academy Press.

Oberdorf, C. D.,& Taylor-Cox, J. (1999). Shape Up!. Teaching Children Mathematics, 5(6), 340.

Ozkan, A., & Ozkan, E. M. (2012b). Misconceptions and Learning Difficulties in Radical Numbers. Procedia-Social and Behavioral Scienc-es, 46, 462-467.

Ozkan, E. M. (2011). Misconceptions in Radicals in High School Mathematics. Procedia-Social and Behavioral Sciences, 15, 120-127.

Ozkan,  E.  M.,&  Ozkan,  A.  (2012a).  Misconception  in Exponential Numbers  in  IST  and  IIND Level Primary School Mathematics. Procedia-Social and Behavioral Sciences, 46, 65-69.

Parastuti, R. H., Usodo, B., & Subanti, S. (2018). Student’s Error in Writing Mathematical Problem Solving Associated withCorresponding Angles of the Similar Triangles. Pancaran Pendidikan, 7(1).

Ryan, J., & Williams, J. (2007). Children’s Mathematics, 4-15: Learning from Errors and Misconceptions. New York: Open UniversityPress.

Simmons, J. P., & Nelson, L. D. (2006). Intuitive Confidence: Choosing between Intuitive and Nonintuitive Alternatives. Journal of Experi-mental Psychology, 135(3), 409-428.

Sutiarso,  S.,  Coesamin,  C.,  &  Nurhanurawati,  N.  (2018).  The  Effect  of  Various  Media  Scaffolding  on  Increasing  Understanding  of Stu-dents’geometry Concepts.Journal on Mathematics Education, 9(1), 95-102.

Tanner, H., & Jones, S. (2000). Becoming a Successful Teacher of Mathematics. Psychology Press.

Vlassis, J. (2004). Making Sense of the Minus Sign or Becoming Flexible in ‘Negativity’. Learning and Instruction, 14(5), 469-484.

How to cite this paper

On the Misconceptions of 10th Grade Students about Analytical Geometry

How to cite this paper: Ozkan, A. & ,Ozkan, E. M., & Karapıcak, S. (2018). On the Misconceptions of 10th Grade Students about Analytical Geometry. The Educationa Review, USA, 2(8), 417-426.

DOI: http://dx.doi.org/10.26855/er.2018.08.002

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