Educational Research and Reviews

  • Abbreviation: Educ. Res. Rev.
  • Language: English
  • ISSN: 1990-3839
  • DOI: 10.5897/ERR
  • Start Year: 2006
  • Published Articles: 2007

Full Length Research Paper

Mathematical representation by students in building relational understanding on concepts of area and perimeter of rectangle

Rahmad Bustanul Anwar
  • Rahmad Bustanul Anwar
  • Mathematics Education, Muhammadiyah University of Metro, Indonesia.
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Ipung Yuwono
  • Ipung Yuwono
  • Mathematics Education, State University of Malang, Indonesia.
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Abdur Rahman As’ari
  • Abdur Rahman As’ari
  • Mathematics Education, State University of Malang, Indonesia.
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Sisworo
  • Sisworo
  • Mathematics Education, State University of Malang, Indonesia.
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Dwi Rahmawati
  • Dwi Rahmawati
  • Mathematics Education, Muhammadiyah University of Metro, Indonesia.
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  •  Received: 12 April 2016
  •  Accepted: 24 October 2016
  •  Published: 10 November 2016

References

Badan Standar Nasional Pendidikan (BSNP). (2006). Standar Kompetensi dan Kompetensi Dasar SD/MI. Jakarta.
 

Bal AP (2014). The Examination of Representations Used by Classroom Teacher Candidates in Solving Mathematical Problems. Educational Sciences: Theory & Practice. DOI: 10.12738/estp.2014.6.2189. 
Crossref

  
 

Beswick K (2005). Preservice Teachers' Understandings of Relational and Instrumental Understanding. Proceeding PME 29. 

  
 

Boonen JHA, Wesel FV, JollesJ, Van Der Schoot M (2014). The role of visual representation type, spatial ability, and reading comprehension in word problem solving: An item-level analysis in elementary school children. International Journal of Educational Research. 

  
 

Creswell JW (2009). Research design: Qualitative, quantitative, and mixed methods approach. Thousand Oaks, CA: Sage.

  
 

Dündar S (2015). Mathematics Teacher-Candidates Performance in Solving Problem with Different Representation Style: The Trigonometry Example. Eurasia J. Math. Sci. Technol. Educ. 11(6):1379-1397. 

  
 

Goldin GA (2002). Representational systems, learning, and problem solving in mathematics. J. Math. Behav. 17(2):137-165.
Crossref

  
 

Keene KA, Glass M, Kim JH (2011). Identifying and Assessing Relational Understanding in Ordinary Differential Equations. Proceeding Frontiers in Education Conference (FIE), 12-15 Oct. 2011. 

  
 

NCTM (2000). Principles and Standars for School Mathematics. United States of America: The National Council of Teachers of Mathematics, Inc.

  
 

Sahin Z, Yenmez AA, Erbas AK (2014). Relational Understanding of the Derivative Concept through Mathematical Modeling: A Case Study. Eurasia J. Math. Sci. Technol. Educ. 11(1):177-188. 

View

  
 

Skemp R (1976). Relational Understanding and Instrumental Understanding. Mathematics Teaching, The Education Resources Information CenterERIC, (Online) 77:20-26. 

  
 

Stylianou DA (2010). Teachers' conceptions of representation in middle school mathematics. J. Mathe. Teacher Educ. 13:325-343. DOI: 10.1007/ s10857-010-9143. 

  
 

Tripathi PN (2008). Developing mathematical understanding through multiple representations. Math. Teach. Middle School 13(89):438-445. 

  
 

Tubach D, Nührenbörger M (2014). Mathematical Understanding in Transition From Kindergarten to Primary School: Play as Bridge Between Two Educational Institutions. 

  
 

Van de Walle JA, Bay-Williams JM, Lovin LAH, Karp KS (2014). Teaching Student-Centered Mathematics: Developmentally Appropriate Instruction for Grades 6-8 (Volume III), 2nd Edition. Boston: Pearson.

  
 

Villegas JL, Castro E, Gutierrez J (2009). Representation in problem solving: A case study with optimization problems. Electronic J. Res. Educ. Psychol. 7(1):279-308. 

  
 

Weber K (2002). The role of Instrumental and Relational Understanding in Proofs About Group Isomorphisms. Proceedings from the 2nd International Conference for the Teaching of Mathematics. 

  
 

Woodruff E (2005). Manifold Relational Understanding: Moving beyond the mind-as-container metaphor in Educational Technology. 

  

 

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