Berpikir aljabar dalam menyelesaikan masalah matematika
Keywords:
Berpikir Aljabar
Abstract
Transisi dari berpikir aritmetika ke berpikir aljabar merupakan salah satu langkah yang paling sulit yang dialami siswa dalam belajar matematika. Tulisan ini membahas tentang apa yang dimaksud dengan berpikir aljabar dalam menyelesaikan masalah matematika, dan diharapkan dapat digunakan sebagai bahan pertimbangan oleh guru dalam merencanakan dan menentukan model dan pendekatan pembelajaran, serta tugas-tugas matematika di kelas. Sehingga dapat membantu siswa untuk transisi yang mulus dari aritmetika ke aljabar, dan dapat mendorong serta mengembangkan pemikiran aljabar pada tahap selanjutnya.
Downloads
Download data is not yet available.
References
Booker, G., 2009. Algebraic Thinking: Generalising Number and Geometrry to Express Patterns and Properties Succinetly. Griffith University, Brisbane. http://www.mav.vic.edu.au/files/conferences. Diakses 15 Januari 2011.
Dindyal, J. 2011. Algebraic Thinking in Geometry at High School Level Students Use of Variables and Unknown. National Institute of Education Singapore. [email protected]. Diakses 15 Januari 2011.
Dobrynina, G. & Tsankova, J. 2005. “Algebraic reasoning of young students and preservice elementary teachers”. In G.M. Lloyd, M. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.). Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. http://convention2.allacademic.com/index.php?cmd=pmena_guest.
Herbert, K. & Brown, R.H. 1997. ”Patterns as Tools for Algebraic Reasoning”. Magazine Article from Teaching Children Mathematics, 3(6), 340-345. http://www.questia.com/library/. Diakses 23 September 2012.
Kieran, C. 2004. “Algebraic Thinking in the Early Grades: What Is It?”. The Mathematics Educator 2004, Vol.8, No.1, 139 - 151
Kriegler, S., 2011. Just What Is Algebraic Thinking?, Department of Mathematics, UCLA. [email protected]. diakses 14 April 2011
National Council of Teachers of Mathematics. 2008. Principles and Standards for School Mathematics. Reston, VA: NCTM.
National Council of Teachers of Mathematics. 2000. Principles and Standards for School Mathematics. Reston, VA: NCTM.
Polya, 1973. How To Solve It. Princeton, New Jersey. Princeton University Press
Proulx, J. 2006. “Making the Transition to Algebraic Thinking: Taking Students’ Arithmetic Modes of Reasoning into Account”. delta-K, Volume 44, Number 1, December 2006
Radford, L., 2010. Elementary Forms of Algebraic Thinking in Young Students. Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education 2010, Vol. 4, pp. 73-80. Belo Horizonte, Brazil: PME.
Rubin D. 2007. Three Components of Algebraic Thinking: Generalization, Equality, Unknown Quantities. http://courses.edtechleaders.org/documents/. Diakses 26 April 2013
Slavin, R., 1994. Educational Psychology, Theory and Practice. Allyn and Bacon, Massachussets.
Solso, R. L. 1995. Cognitive Psychology. Boston: Allyn and Bacon.
Stacey, K., & MacGregor, M. 1999. “Implications For Mathematics Education Policy Of Research On Algebra Learning”. Australian Journal of Education, 43(1), 58, 1999.
Van Amerom, B.A. 2003. “Reinvention Of Early Algebra; Developmental Research on the Transition from Arithmetic to Algebra”. Thesis. Utrecht University.
Wardhani, S. 2004. Permasalahan Kontekstual Mengenalkan Bentuk Aljabar di SMP. Depdiknas, Dirjen Dikdasmen P3GM: Yogyakarta
Warren, E. 2000. “Visualisation and the Development of Early Understanding in Algebra”. Proceedings of the 24th conference of the international group for the psychology of mathematics education (Vol. 4, pp. 273-280). Hiroshima University.
Warren, E. 2003. “The Role of Arithmetic Structure in the Transition from Arithmetic to Algebra”. Australian Catholic University Mathematics Education Research Journal 2003, Vol. 15, No. 2, 122-137
Dindyal, J. 2011. Algebraic Thinking in Geometry at High School Level Students Use of Variables and Unknown. National Institute of Education Singapore. [email protected]. Diakses 15 Januari 2011.
Dobrynina, G. & Tsankova, J. 2005. “Algebraic reasoning of young students and preservice elementary teachers”. In G.M. Lloyd, M. Wilson, J. L. M. Wilkins, & S. L. Behm (Eds.). Proceedings of the 27th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. http://convention2.allacademic.com/index.php?cmd=pmena_guest.
Herbert, K. & Brown, R.H. 1997. ”Patterns as Tools for Algebraic Reasoning”. Magazine Article from Teaching Children Mathematics, 3(6), 340-345. http://www.questia.com/library/. Diakses 23 September 2012.
Kieran, C. 2004. “Algebraic Thinking in the Early Grades: What Is It?”. The Mathematics Educator 2004, Vol.8, No.1, 139 - 151
Kriegler, S., 2011. Just What Is Algebraic Thinking?, Department of Mathematics, UCLA. [email protected]. diakses 14 April 2011
National Council of Teachers of Mathematics. 2008. Principles and Standards for School Mathematics. Reston, VA: NCTM.
National Council of Teachers of Mathematics. 2000. Principles and Standards for School Mathematics. Reston, VA: NCTM.
Polya, 1973. How To Solve It. Princeton, New Jersey. Princeton University Press
Proulx, J. 2006. “Making the Transition to Algebraic Thinking: Taking Students’ Arithmetic Modes of Reasoning into Account”. delta-K, Volume 44, Number 1, December 2006
Radford, L., 2010. Elementary Forms of Algebraic Thinking in Young Students. Proceedings of the 34th Conference of the International Group for the Psychology of Mathematics Education 2010, Vol. 4, pp. 73-80. Belo Horizonte, Brazil: PME.
Rubin D. 2007. Three Components of Algebraic Thinking: Generalization, Equality, Unknown Quantities. http://courses.edtechleaders.org/documents/. Diakses 26 April 2013
Slavin, R., 1994. Educational Psychology, Theory and Practice. Allyn and Bacon, Massachussets.
Solso, R. L. 1995. Cognitive Psychology. Boston: Allyn and Bacon.
Stacey, K., & MacGregor, M. 1999. “Implications For Mathematics Education Policy Of Research On Algebra Learning”. Australian Journal of Education, 43(1), 58, 1999.
Van Amerom, B.A. 2003. “Reinvention Of Early Algebra; Developmental Research on the Transition from Arithmetic to Algebra”. Thesis. Utrecht University.
Wardhani, S. 2004. Permasalahan Kontekstual Mengenalkan Bentuk Aljabar di SMP. Depdiknas, Dirjen Dikdasmen P3GM: Yogyakarta
Warren, E. 2000. “Visualisation and the Development of Early Understanding in Algebra”. Proceedings of the 24th conference of the international group for the psychology of mathematics education (Vol. 4, pp. 273-280). Hiroshima University.
Warren, E. 2003. “The Role of Arithmetic Structure in the Transition from Arithmetic to Algebra”. Australian Catholic University Mathematics Education Research Journal 2003, Vol. 15, No. 2, 122-137
Published
2015-08-30
How to Cite
Sukmawati, A. (2015). Berpikir aljabar dalam menyelesaikan masalah matematika. Math Didactic: Jurnal Pendidikan Matematika, 1(2), 88-93. https://doi.org/10.33654/math.v1i2.5
Issue
Section
Review
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
Copyright by Author(s)
