This paper reports part of a larger study “Study of Algebraic Misconceptions of Secondary School in Delhi /NCR. The data gathered here leads to the qualitative phase which employs the Case Study Method to gain insights into the thinking process of students which leads to misconceptions in learning of Algebra concepts at the secondary stage. The article presents the findings of a Pilot study which aims to trace the Students Understanding and Misconceptions acquired in Algebra concepts and their implications
on solving word problems
Article
Volume - 5 (2019)
Secondary School Student's Recurring Pestilent Errors in Polynomials and Algebraic Word Problem Solving
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39 Downloads
Published 2019-12-31
Pages 65-79
Abstract
Keywords
Mathematisation, Cognitive Difficulties, Secondary Mathematics, Word Problems
References
- Capraro, M. M., Joffrion, H., Capraro, M. M., & Joffrion, H. (2006). Algebraic
- Equations : Can Middle-School Students Meaningfully Translate from Words to
- Mathematical Symbols?
- Centre, M. E. (2011). Students' Difficulties, Conceptions, and Attitudes towards
- Learning Algebra : An Intervention Study to Improve Teaching and Learning TuckChoy Francis Chow, (October)Council, N., & Education, M. (2018). Research on Mathematics Education Reported in
- 1993 Author (s): Marilyn N. Suydam and Patricia A. Brosnan Published by National
- Council of Teachers of Mathematics Stable URL : https://www.jstor.org
- Equivalence,C.,Knuth,E.J.,Alibali,M.W.,Mcneil,N.M.,Weinberg,A.,&Stephens,A.
- C. (2005). Middle School Students' Understanding of Core Algebraic, 37(1).
- Ilyas, B. M., Author, C., Rawat, K. J., Bhatti, M. T., & Malik, N. (2013). International
- Journal of Instruction, 6(1).
- Knuth,E.J.,Stephens,A.C.,Mcneil,N.M.,Alibali,M.W.,Knuth,E.J.,&Stephens,A.C.
- (2018). Does Understanding the Evidence from Solving Equations Equal Sign Matter ?
- 37(4), 297–312.
- Krathwohl, D. (2016). Anderson and Krathwohl - Understanding the New Version of
- TM TM Bloom †s Taxonomy the Cognitive Domain : Anderson and Krathwohl - Bloom â€
- s Taxonomy Revised, (1972).
- Macgregor, M., & Stacey, K. (1997). Students' understanding of algebraic notation:
- 11–15, 1–19.
- Mccrory, R., Floden, R., Ferrini-mundy, J., Reckase, M. D., Senk, S. L., Mccrory, R.
- Senk, S. L. (2018). Knowledge of Algebra for Teaching : A Framework of Knowledge
- and Practices,43(5), 584–615.
- Ndemo, O., & Ndemo, Z. (2018). Secondary School Students' Errors and
- Misconceptions in Learning Algebra, 12(4), 690–701. https://doi.org/10.11591/
- edulearn.v12i4.9956.
- Sebrechts, M. M., Enright, M., Bennett, R. E., Martin, K., Cognition, S., Enright, M.,
- Martin, K. (2018). Using Algebra Word Problems to Assess Quantitative Ability :
- Attributes, Strategies, and Errors Using Algebra Word Problems to Assess Quantitative
- Ability :Attributes, Strategies, and Errors, 14(3), 285–343.
- Studies, E. (2011). The Arithmetic Connection Author (s): Lesley Lee and David
- Wheeler Reviewed work (s): Source : Educational Studies in Mathematics, 20(1), (Feb
- 1989), 41-54.
- Studies, E. (2018). The Gains and the Pitfalls of Reification : The Case of Algebra Author
- (s): Anna Sfard and Liora Linchevski Source : Educational Studies in Mathematics, Vol.
- 26 (2 / 3).Behr M., Erlwanger S. and Nichol E. (1976). “How children view equality
- sentences”,PMDC Technical Report No. 3, Tallahassee: Florida State University.
- Booth L. R. (1984). Algebra: Children's Strategies and Errors, Windsor, UK: NFERNelson.
- BoothL.R.(1981a). “Strategies anderrorsin generalizedarithmetic”,inC.Comiti&G.
- Vergnaud (Eds.), Proceedings of the Fifth International Conference for the Psychology
- of Mathematics Education, Grenoble, France: Laboratories I.M.A.G., pp. 140–146.
- Chaiklin S. and Lesgold S. (1984). “Pre-algebra students' knowledge of algebraic tasks
- with arithmetic expressions”, Paper presented at the Annual Meeting of the American
- Educational Research Association, New Orleans, LA.
- Gallardo A. and Rojano T. (1987). “Common difficulties in the learning of algebra
- among children displaying low and medium pre-algebraic proficiency levels”, in
- Bergeron J. C.,
- Herscovics N. & Kieran C. (Eds.), Proceedings of PME 11, Vol. 1, pp.301–307.
- Herscovics N. and Linchevski L. (1994). “The cognitive gap between arithmetic and
- algebra”, Educational Studies in Mathematics, 27 (1), 59–78.
- Kieran C. (1992). “The learning and teaching of school algebra”, in D. Grouws (Ed.),
- Handbook of Research on Mathematics Teaching and Learning, MacMillan Publishing
- Company, New York, pp. 390–419.
- Knuth E., Stephens A., McNeil N. and Alibali M. W. (2007). “Does understanding the
- equal sign matter? Evidence from solving equations”, Journal of Research in
- Mathematics Education, 37 (4) 297–312.
- Kuchemann D. (1981). “Algebra”, in” K. Hart (Ed.), Children's Understanding of
- Mathematics. 11–16, Murray, London, pp. 102–119.
- Kuchemann D. (1978). Children's understanding of numerical variables, Mathematics in
- School, 7 (4) 23–26.
- LeeVictor andGuptaP.J.(1995).Children'sCognitive andLanguageDevelopment,p.193.
- NCERT(2005). National Curriculum Framework, New Delhi: NCERT.
- Nickerson R. S. (1985). Understanding understanding, American Journal of Education,
- 93 (2) 201–239.Pimm D. (1995). Symbols and Meanings in School Mathematics, London, Routledge.
- Sfard A. (1991).On the dual nature of mathematical conceptions: Reflections on
- processes and objects as different sides of the same coin. Educational Studies of
- Mathematics, 26, 1–36.
- Wagner S. and Parker S. (1999). “Advancing algebra”, in Barbara Moses (Ed.),
- Algebraic Thinking, Grades K-12, Reston, VA: NCTM, pp. 328–340.
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