ASSESSMENT OF 12TH GRADERS’ MODELING COMPETENCE IN THE THEME-BASED TEACHING “FINDING THE MAXIMUM OR MINIMUM VALUE OF A FUNCTION”
Main Article Content
Abstract
The initial part of this paper presents some fundamental concepts regarding the research purpose such as mathematics modeling competence, its structure, and assessment approaches. The methodology for constructing a modeling competence assessment scale is then presented in the second part, followed by the discussion of the overall scale for evaluating modeling competence, then the application of the scale to the theme "finding the maximum - minimum value of a function” taught in 12th grade is also reported in this paper.
Keywords
Mathematical modeling competence, Assessing of mathematical modeling competence, Maximum value - minimum value of a function.
Article Details
References
Blomhoj, M., Jensen, T. (2007). What’s all the fuss about competencies? In W. Blum, P. L. Galbraith, H. Henn, M. Niss, (Eds.): Modelling and Applications in Mathematics Education (ICMI Study 14), 45-56, Springer.
Blum, W., & Kaiser, G. (1997). Vergleichende empirische Untersuchungen zu mathematischen anwendungsfahigkeiten von englischen und deutschen Lernenden [Comparative empirical studies at mathematical application skills of English and German learners]. Unpublished manuscript, German Research Foundation, Bonn, Germany.
Blum, W. et al. (2002). ICMI Study 14: Application and Modelling in Mathematics Education – Discussion Document. Journal fur Mathematik-Didaktik, 23(3/4), 262-280.
Chan, C. M., Ng, K. E., Widjaja, W., & Cynthia, S. (2012). Assessment of Primary 5 students' mathematical modeling competencies. Journal of Science and Mathematics Education in Southeast Asia, 35(2), 146-178.
Gaimme: Guidelines for Assessment and Instruction in Mathematical Modeling Education, Second Edition, Sol Garfunkel and Michelle Montgomery, editors, COMAP and SIAM, Philadelphia, 2019.
Henning H., & Keune M., (2004). Levels of modelling competencies. In: Blum W., Galbraith PL, Henn HW., Niss M. (eds) Modelling and Applications in Mathematics Education, 225-232.
New ICMI Study Series, 10, Springer, Boston, MA. Ikeda, T., & Stephens, M. (1998). The influence of problem format on students’ approaches to mathematical modelling. In P. Galbraith, W. Blum, G. Booker, & I. Huntley (Eds.), Mathematical modelling, teaching and assessment in a technology-rich world (223-232). Chichester: Horwood Publishing.
Jensen, T. (2007). Assessing Mathematical Modelling Competency. Mathematical Modelling (ICTMA12) Education, Engineering and Economics ISBN 978-1-904275-20-6 Chichester: Horwood (2007), 510pp.
Kaiser, G. (2007). Modelling and modelling competencies in school. Journal: Mathematical modelling (ICTMA 12): Education, engineering and economics, 110-119 (01/08 2007).
Leong, K. E., & Tan, J.Y. (2015). Assessment of secondary students’ mathematical competencies.
ICMI-East Asia Regional Conference on Mathematics Education 11-15, 337-345.
Le Thi Hoai Chau (2011). Teaching statistics in high schools and improving students’ math skills [Day hoc Thong ke o truong pho thong va van de nang cao nang luc hieu biet toan cho hoc sinh]. Ho Chi Minh City University of Education Journal of Science, (25).
Lingefjard, T. (2004). Assessing engineering student’s modeling skills. Retrieved from http://www.cdio.org/files/ assess_model_skls.pdf
Ludwig, M., & Xu, B. (2010). A comparative study of modelling competencies among Chinese and German students. Journal for Didactics of Mathematics, (31), 77-97.
Maab, K., ( 2006). What are modelling competencies? The International Journal on Mathematics Education, 38(2), 113-142.
Ministry of Education and Training (2018). Mathematics General Education Program December 26, 2018 [Chuong trinh Giao duc Pho thong mon Toan ngay 26 thang 12 nam 2018]
Ministry of Education and Training (2018). General Education Program - Overall Program December 26, 2018 [Chuong trinh Giao duc Pho thong – Chuong trinh tong the ngay 26 thang 12 nam 2018]
Niss, M. (2004). Mathematical competencies and the learning of mathematics: The Danish KOM project. In A. Gagtsis & Papastavridis (Eds), Proceedings of 3rd Mediterranean Conference on Mathematical Education (115-124). Greece, Athens: The Hellenic Mathematical Society.
Niss, M., & Jensen, T. H. (Eds.) (2007). Competencies and Mathematical Learning – Ideas and inspiration for the development of mathematics teaching and learning in Denmark. English translation of part I-VI of Niss & Jensen (2002). Under preparation for publication in the series Tekster fra IMFUFA, Roskilde University, Denmark. To be ordered from
imfufa@ruc.dk.
OECD. (2002). Definition and Selection of Competencies: Theoretical and Conceptual Foundation.
Phan Dong Chau Thuy, & Nguyen Thi Ngan (2017). Building a scale and a tool to evaluate students' problem-solving skills through project-based learning [Xay dung thang do va bo
cong cu danh gia nang luc giai quyet van de cua hoc sinh qua day hoc du an]. Ho Chi Minh City University of Education Journal of Science, 14(56).
Blum, W., & Kaiser, G. (1997). Vergleichende empirische Untersuchungen zu mathematischen anwendungsfahigkeiten von englischen und deutschen Lernenden [Comparative empirical studies at mathematical application skills of English and German learners]. Unpublished manuscript, German Research Foundation, Bonn, Germany.
Blum, W. et al. (2002). ICMI Study 14: Application and Modelling in Mathematics Education – Discussion Document. Journal fur Mathematik-Didaktik, 23(3/4), 262-280.
Chan, C. M., Ng, K. E., Widjaja, W., & Cynthia, S. (2012). Assessment of Primary 5 students' mathematical modeling competencies. Journal of Science and Mathematics Education in Southeast Asia, 35(2), 146-178.
Gaimme: Guidelines for Assessment and Instruction in Mathematical Modeling Education, Second Edition, Sol Garfunkel and Michelle Montgomery, editors, COMAP and SIAM, Philadelphia, 2019.
Henning H., & Keune M., (2004). Levels of modelling competencies. In: Blum W., Galbraith PL, Henn HW., Niss M. (eds) Modelling and Applications in Mathematics Education, 225-232.
New ICMI Study Series, 10, Springer, Boston, MA. Ikeda, T., & Stephens, M. (1998). The influence of problem format on students’ approaches to mathematical modelling. In P. Galbraith, W. Blum, G. Booker, & I. Huntley (Eds.), Mathematical modelling, teaching and assessment in a technology-rich world (223-232). Chichester: Horwood Publishing.
Jensen, T. (2007). Assessing Mathematical Modelling Competency. Mathematical Modelling (ICTMA12) Education, Engineering and Economics ISBN 978-1-904275-20-6 Chichester: Horwood (2007), 510pp.
Kaiser, G. (2007). Modelling and modelling competencies in school. Journal: Mathematical modelling (ICTMA 12): Education, engineering and economics, 110-119 (01/08 2007).
Leong, K. E., & Tan, J.Y. (2015). Assessment of secondary students’ mathematical competencies.
ICMI-East Asia Regional Conference on Mathematics Education 11-15, 337-345.
Le Thi Hoai Chau (2011). Teaching statistics in high schools and improving students’ math skills [Day hoc Thong ke o truong pho thong va van de nang cao nang luc hieu biet toan cho hoc sinh]. Ho Chi Minh City University of Education Journal of Science, (25).
Lingefjard, T. (2004). Assessing engineering student’s modeling skills. Retrieved from http://www.cdio.org/files/ assess_model_skls.pdf
Ludwig, M., & Xu, B. (2010). A comparative study of modelling competencies among Chinese and German students. Journal for Didactics of Mathematics, (31), 77-97.
Maab, K., ( 2006). What are modelling competencies? The International Journal on Mathematics Education, 38(2), 113-142.
Ministry of Education and Training (2018). Mathematics General Education Program December 26, 2018 [Chuong trinh Giao duc Pho thong mon Toan ngay 26 thang 12 nam 2018]
Ministry of Education and Training (2018). General Education Program - Overall Program December 26, 2018 [Chuong trinh Giao duc Pho thong – Chuong trinh tong the ngay 26 thang 12 nam 2018]
Niss, M. (2004). Mathematical competencies and the learning of mathematics: The Danish KOM project. In A. Gagtsis & Papastavridis (Eds), Proceedings of 3rd Mediterranean Conference on Mathematical Education (115-124). Greece, Athens: The Hellenic Mathematical Society.
Niss, M., & Jensen, T. H. (Eds.) (2007). Competencies and Mathematical Learning – Ideas and inspiration for the development of mathematics teaching and learning in Denmark. English translation of part I-VI of Niss & Jensen (2002). Under preparation for publication in the series Tekster fra IMFUFA, Roskilde University, Denmark. To be ordered from
imfufa@ruc.dk.
OECD. (2002). Definition and Selection of Competencies: Theoretical and Conceptual Foundation.
Phan Dong Chau Thuy, & Nguyen Thi Ngan (2017). Building a scale and a tool to evaluate students' problem-solving skills through project-based learning [Xay dung thang do va bo
cong cu danh gia nang luc giai quyet van de cua hoc sinh qua day hoc du an]. Ho Chi Minh City University of Education Journal of Science, 14(56).