Investigating Secondary School Students' Difficulties in Modeling Problems PISA-Model Level 5 And 6

Sri Imelda Edo, Ratu Ilma Indra Putri, Yusuf Hartono

Abstract


The chart of Indonesian student of mathematical ability development in Program for International Student Assessment (PISA) event during the last 4 periods shows an unstable movement. PISA aims to examine the ability of children aged 15 years in reading literacy, mathematics literacy, and science literacy. The concept of mathematical literacy is closely related to several other concepts discussed in mathematics education. The most important is mathematical modelling and its component processes. Therefore the goal of this research is to investigate secondary school students' difficulties in modeling problems PISA-model level 5 and 6. Qualitative research was used as an appropriate mean to achieve this research goal. This type of research is a greater emphasizing on holistic description, and phenomenon identified to be studied, students' difficulties in modelling real world problem in PISA model question level 5 and 6. 26 grade 9 students of SMPN 1Palembang, 26 grade 9 students of SMPK Frater Xaverius 1 Palembang, and 31 participants of mathematical literacy context event, were involved in this research. The result of investigate showed that student is difficult to; (1) formulating situations mathematically, Such as to representing a situation mathematically, recognizing mathematical structure (including regularities, relationships, and patterns) in problems, (2) evaluating the reasonableness of a mathematical solution in the context of a real-world problem. The students have no problem in solve mathematical problem they have constructed.


Keywords


Mathematical model; Modelling competence; PISA; PISA Questions level 5 and 6; Students' difficulties in solving PISA-model Questions; Mathematics Literacy

Full Text:

PDF

References


Barbosa. (2007). Mathematical Modelling and Parallel Discussionss . State University of Feira De Santana: Brazil

Biehler, Hochmuth, Fischer, Wassong. (2009). Target Competencies project MATHBRIDGE European Remedial Content for Mathematics August 31st 2009 project is funded under the eContentplus programme1, a multiannual Community programme to make digital content in Europe more accessible, usable and exploitable, OJ L 79, 24.3.2005, p. 1.

Blomhøj, M. and Jensen, T.H. (2004). What’s all the fuss about competencies? Plenary presentation at the ICMI Study 14 conference: Applications and Modelling in Mathematics Education. Dortmund. (www.unidortmund. de/icmi14)

Blum, Leiß. (2005). “Filling Up“ – The Problem of Independence-Preserving Teacher Interventions in Lessons With Demanding Modelling Tasks, The discussions of the working group at CERME 4: Germany.

Blum, W., Galbraith, P., Henn, H.-W. & M. Niss, M. (Ed). (2007). Modelling and Applications in Mathematics Education. The 14th ICMI Study. New York: Springer.

de Lange, J. (2006). Mathematical literacy for living from OECD-PISA perspective. Retrieved 30 December 2008 from

http://beteronderwijsnederland.net/files/active/0/De%20Lange%20ML%202006.pdf .

Galbraith, P., Stillman, G., Brown, J., & Edwards, I. (in press). Facilitating

mathematical modeling competencies in the middle secondary school. In

C. Haines, P., Galbraith, W., Blum, & S. Khan,(Eds.), Mathematical

Modelling: Education, Engineering and Economics. Chichester, UK:Horwood.

García, Higueras. (2005). Mathematical Praxeologies of Increasing Complexity: Variation Systems Modelling In Secondary Education. The discussions of the working group at CERME 4: Germany

Haines, C.R., Crouch, R.M. and Davis, J. (2001). Understanding Students' Modelling Skills. In: Matos, J.F., Blum, W., Houston, K., Carreira, S.P. (eds.). Modelling and Mathematics Education: ICTMA9 Applications in Science and Technology. Chichester: Horwood, pp. 366-381.

Haines, Crouch. (2005). Getting to Grips with Real World Contexts: Developing Research in Mathematical Modelling. The discussions of the working group at CERME 4: Germany.

Hayat, Yusuf. (2010). Mutu Pendidikan, Bumi Aksara: Jakarta

Henning, H. and Keune, M. (2004). Levels of Modelling Competencies. In: Henn, H.-W. and Blum, W. (eds.). ICMI Study 14: Application and Modelling in Mathematical Education Study Conference February 13-17, 2004 Pre- Conference Volume. Universität Dortmund, pp. 115-120.

Jean-Luc Dorier. (2005). An introduction to mathematical modelling: an experiment with students in economics 1634, The discussions of the working group at CERME 4: Germany.

Kaiser. (2007). Introduction to the Working group “Applications and Modellingâ€. The discussions of the working group at CERME 4: Germany.

Magenheim. (2002). Towards a competence model for educational standards of Informatics. University of Paderborn: Germany.

Niss, M. (2003). Mathematical Competencies and the Learning of Mathematics: The Danish KOM Project.

(www7.nationalacademies.org/mseb/Mathematicalcompetencies_and_the_Learning_of_Mathematics.pdf).

Kaiser. (2007). Introduction to the Working group “Applications and Modellingâ€.The discussions of the working group at CERME 4: Germany.

Magenheim. (2002). Towards a competence model for educational standards of Informatics. University of Paderborn: Germany.

Niss, M. (2003). Mathematical Competencies and the Learning of Mathematics: The Danish KOM Project.

(www7.nationalacademies.org/mseb/Mathematicalcompetencies_and_the_Learning_of_Mathematics.pdf).

OECD. (2003). Learning Mathematics for Life A VIEW PERSPECTIVE FROM PISA. OECD

OECD. (2006). Assessing Scientific, Reading and Mathematical Literacy. OECDLevel 5 And 6

OECD. (2009). Take the Test Sample Questions From Oecd’s Pisa Assessments,OECD PUBLISHING, 2, rue André-Pascal, 75775 PARIS CEDEX 16:PRINTED IN FRANC

OECD. (2009). Learning Mathematics for Life A PERSPECTIVE FROM PISA,OECD online library of books, periodicals and statistical databases.

www.sourceoecd.org/education/9789264074996

Stacey, Kaye. (2010). The PISA view of mathematical literacy in Indonesia. Journal on mathematics education (IndoMS-JME). July, 2011, volume 2. http://jims-b.org/?page id = 152 (diakses Maret 2011)

Stacey, Kaye. (2010). Mathematical and Scientific Literacy Around The World.Journal of Science and Mathematics Education in Southeast Asia 2010, Vol.33 No. 1, 1-16




DOI: https://doi.org/10.22342/jme.4.1.561.41-58

Refbacks

  • There are currently no refbacks.





Journal on Mathematics Education
Program S3(Doktor) Pendidikan Matematika FKIP Universitas Sriwijaya
Kampus FKIP Bukit Besar
Jl. Srijaya Negara, Bukit Besar
Palembang - 30139
email: jme@unsri.ac.id

p-ISSN: 2087-8885 | e-ISSN: 2407-0610
Journal on Mathematics Education is licensed under a Creative Commons Attribution 4.0 International License

View My Stats