pp. 859-872 | Article Number: iejme.2017.051
Published Online: December 11, 2017
Article Views: 392 | Article Download: 550
This study aims to analyze the problem solving skills of grade VII students in learning metacognitive strategy type IDEAL. The method used is qualitative research with descriptive approach to analyze the result of mathematics problem solving test with indicator 1) understand and represent problem, 2) choose or plan the solution, 3) solve the problem according to plan, and 4) re-check the result. This research was conducted in Madrasah Tsanawiyah Wanasaba sub-district. The time of the research was conducted in the even semester of the 2015/2016 school year, starting from February 2016 until March 2016. The results showed that 6.41% of students were able to plan the solution, 11.54% of the students were able to solve the problem as planned and 82.05 % of students were able to re-examine the results obtained. Based on these results, IDEAL type metacognitive learning strategy can improve students' math problem solving skills.
Keywords: Problem Solving Abilities, Mathematics, Metacognitive Learning Strategy, IDEAL
Anderson, Rin W. and David R. K. (2001). A Taxonomy for Learning, teaching and Assessing: A revision of Bloom's Taxonomy of Education Objectives. New York: Addison Wesley Lonman Inc.
Beetlestone, F. (1998). Creative Children, Imaginative Teaching. Philadelphia: Marston Book Services Limites.
Chidsey, Rachel B. & Rebekah B. (2016). Practical Handbook of Multi-Tiered Systems of Support: Building Academic and Behavior Success in Schools. Ney York: The Guilford Press.
Franklin, J. (2014). An Aristotelian Realist Philosophy of Mathematics: Mathematics as Science of Quantity and Structure. New York: Palgrave Macmillan.
Graham, S. & Denise S. (2015). Strategies for Secondary Listening: Current Scenarios and Improved Pedagogy. Chennai: Palgrave Macmilan.
Gredler, Margaret E. (2009). Learning and Instruction: Theory into Practice Sixth Edition. London, Pearson.
Hardy, Colin A. & Mick M. (2003). Learning and Teaching in Physical Education. London: Falmer Press.
Hartas, D. (2010). Educatinal Research and Inquiry: Qualitative and Quatitative Approaches. London: Continum International Publishing Group.
Henningsen, M. & M. K. Stein. (1997). "Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning," Journal for Research in Mathematics Education, Vol. 28 (5), h. 524.
Huisman, J. & Malcolm T. (2015). Theory and Methods in Higher Education Research. Bingley: Emerald Group Publishing Limited.
Idris, N. (2006). Teaching and Learning of Mathematics: Making Sense and Developing Cognitive Abilities. Kuala Lumpur: Maziza.
Juan, Ester U. & Alicia Martinez F. (2006). Current Trend in The Delopment and Teaching of the Four Language Skills. New York: ANSI.
Kesumawai, N. (2014). "Improving Mathematical Problem Solving Ability of Junior High School Students Mellaui Approach of Indonesian Realistic Mathematics Education (PMRI)," Jurnal Pendidikan Matematika, Vol. 8 (2), h. 2.
Kleden, Maria Agustina, Yaya S. Kusumah, and Utari S. (2015). "The Analysis of Enhancement of Mathematical Education Competency through Metacognitive Learning," International Journal of Education and Research, Vol. 3 (9).
NCTM. (2000). Principles and Standard for School Mathematics. United States of America: NCTM.
Ozsoy, G. (2009). "The Effects of Metacognitive Strategy Training on Mathematical Problem Solving Achievement". International Electronic Journal of Elementary Education, Vol.1 (2). h. 3.
Peirce, Charles S. (2010). Philosophy of Mathematics: Selescted Writings. Indiana: Indiana University Press, .
Petroselli, Calvin L. (2010). Science Education Issues and Developments. New York: Nova Science Publishers, Inc.
Phillipson, Shane N. & Bick-har L. (2011). Learning Teaching in the Chinese Classroom: Responding to Individual Needs. Hong Kong: Hongkong University Press.
Purnomo, Eko A. & Venissa D. (2014). "Improving Problem-Solving Ability through Ideal Problem Solving Learning Model Based on Project Based Learning", JKPM, VOL. 1 (1).
Rahayu, R. & Kartono. The Effect of Mathematical Disposition to Problem Solving Ability Based On IDEAL Problem Solver. International Journal of Science and Research (IJSR). VOL. 3 (10), h. 1315
Rani, T. S. (2008). Teaching of Mathematics Delhi: Navin Shahdara.
Selvan, A. (2010). Human Rights Education: Moderan Approaches and Strategies. New Delhi: Concept.
Surya, M. (2015). Cognitive Strategies in Learning Process. Bandung: Alfabeta.
Wehmeyer, Michael L. (2007). Promoting Self-determination in Students with Developmental Disabilities. New York: The Guilford Press.
Weiner, Irving B. (2003). Hanbook of Psychology: Educational Psychology Volume 7, New Jersew: John Wiley and Sons, Inc.
Wena, M. (2009). Contemporary Innovative Learning Strategy: An Operational Conceptual Review. Jakarta: Earth Script.
Woolfolk, A. (2007). Educational Psychology Tenth Edition. Boston: Pearson.
Facer, K. (2006). Learning with handheld technologies: A handbook from Futurelab. Bristol, UK: Futurelab. http://www.futurelab.org.uk/research.
Federal Republic of Nigeria. (2004). National Policy on Education (Revised) NERC.
Glennie, J., Harley, K., Butcher, N. & Van Wyk, T. ( 2012). Open Educational Resources and change in Higher Education: Reflections from practice. British Colombia: Vancouver.
Hartnell-Young, E. & Heym, N. (2008). How mobile phones help learning in secondary schools? BECTA.http://research.becta.org.uk/index.php?catcode=_re_rp_02&rid=15482§ion=rh, [17 November 2013].
Howie, S. J. (2003). Language and other background factors affecting secondary pupils’ performance in Mathematics in South Africa. African Journal of research in Mathematics, Science and Technology Education, 7, 1-20.
http://www.scit.wlv.ac.uk/brendan/mLearn2008.pdf,[30 November 2013].
Johnson, B. & Christensen, L. (2012). Educational Research. Quantitative, qualitative, and mixed approaches, 4th ed. Thousand Oaks, CA: Sage Publications.
Kadirire, J. (2007). Instant messaging for creating interactive and collaboration m-Learning environments. International Review of Research in Open and Distance Learning, 2(8),1-14.
Kahn, M. J. (1994). Science and Mathematics education in the formal system: Science and technology education and training for economic development. Johannesburg: Centre for Education Policy Development.
Kalloo, V. & Mohan, P. (2012). MobileMath: an innovative solution to the problem of poor Mathematics performance in the Caribbean. Caribbean Teaching Scholar, 2(1), 5-18.
Khuzwayo, B., (2005). A history of Mathematics education research in South Africa: The apartheid years. Researching Mathematics education in South Africa: Perspectives, practices and possibilities, 234, 286p.
Kinsley, J. (2002). A four stage model of mathematical learning. The Mathematics Educator Journal, 12 (1), 11-16.
Koller, O., Baumert, J. & Schnabel, K. (2001). Does Interest Matter? The Relationship Between Academic Interest and Achievement in Mathematics. Journal for Research in Mathematics Education, 32 (5), 448-470.
Kriek, J. & Grayson, D. (2009). A Holistic Professional Development model for South African Physical Science teachers. South African Journal of Education, 29, 185-203.
Kumar, A., Tewari, A., Shroff, G., Chittamuru, D., Kam, M. & Canny, J. (2010). An Exploratory Study of Unsupervised Mobile Learning in Rural India. In CHI 2010, 10–15 April 2010, Atlanta, Georgia, USA.
Liebenberg, J. & Conway-Smith. (2008). Mobile Mathematics–lessons learned. In Proceedings of the mLearn 2008 Conference, The Bridge From Text To Context, 7-10 October 2008, 346p.UK.Ironbridge Gorge: Shropshire.
Lubega, J., McCrindle, R., Williams, S., Armitage, U. & Clements, I. (2004). Uses of mobile phones in higher education. In Cantoni and McLaughlin (eds) Proceedings of EDMEDIA 2004. Switzerland: Lugano.
Makgato M. & Mji, A. (2006). Factors associated with high school learners’ performance: A spotlight on mathematics and physical science. South African Journal of Education, 26(2), 253-266.
Manoucherhri, A. (1999). Computers and school mathematics reform: Implications for mathematics teacher education. Journal of Computers in Mathematics and Science Teaching, 18(1), 31-48.
Maree, K., (2007). First steps in Research. 1st ed. Pretoria: Van Schaik publishers.
McMillan, J.H. & Schumacher, S. (2010). Research in education: Evidence-based inquiry. 7th ed. New York: Pearson.
MoMath, (2010). Mobile learning for Mathematics: Nokia project in South Africa Symbian tweet, http://www.symbiantweet.com/mobile-learning-for-Mathematics in South Africa, [20 February 2014]
Mulhern, F. & Rae, G. (1998). Development of shortened form of the Fennema-Sherman mathematics attitude scales. Educational and Psychological Measurement, 41, 551-557.
Nagaki, T., Kobayashi, Y. & Nakagawa, H. (2004). Attitude survey for pupils about using cellular phones in Classrooms. In Cantoni and McLaughlin (eds.) Proceedings of ED-MEDIA 2004, Switzerland: Lugano.
Naismith, L. & Corlett, D. (2006). Reflections on success: A retrospective of the mLearn conference series 2002-2005. Paper presented at mLearn 2006 - Across generations and cultures. Canada. Banff. http://hal.archivesouvertes.fr/docs/00/19/73/66/PDF/Naismith-Corlett-2006.pdf.
Ndafenongo, G. (2011). An investigation into how cell phones can be used in the teaching of Mathematics using Vitalmaths video clips: a case study of 2 schools in Grahamstown, South Africa. Thesis, Degree of Master of Education, Rhodes University (Faculty of Education), Grahamstown, South Africa.
Ornstein, A.C. (1990). Strategies for effective teaching. New York: McGraw-Hill Inc.
Peker, M. (2005).The relationship between learning styles and Mathematics achievement students’ acquiring primary Mathematics teacher education. Eurasian Journal of Educational Research, 5 (21), 200-210.
Project K-Nect. (2008). http://www.projectknect.org/Project%20K-Nect/Home.html http://www.cxc.org/examinations/exam-results-reports. [30 May 2014].
Retrieved from http://mlearningafrica.net/category/projects/
Saha, S. (2007). A study of Gender Attitude to Mathematics. Cognitive Style and Achievement in Mathematics. Experiments in Education 35(6).
Sharples, M. (2003). Disruptive devices: mobile technology for conversational learning. International Journal of Continuing Engineering Education and Lifelong Learning, 1(5& 6), 504-520.
Stead, G. (2005). Moving mobile into the mainstream. In Proceedings of mLearn: Mobile technology: The future of learning in your hands, 25-28 October 2005, South Africa, Cape Town, London: WLE Centre.
Sweeting, K. (2011). Early Years Teachers’ Attitudes in Mathematics. M.Ed Thesis. Queensland University of Technology. University of Haifa. http://construct.haifa.ac.il.
Vahey, P. & Crawford, V. (2003). Learning with handhelds: Findings from classroom research. http://makingsens.stanford.edu/pubs/LearningFromHandhelds.pdf. [15 May 2014].
Vosloo, S. & Botha, A. (2009). Mobile learning: South African examples. Paper presented at the Mobile Learning Institute Summit. Lusaka, Zambia. Retrieved from http://www.slideshare.net/stevevosloo/mobilelearning-south-african-examples.
Vosloo, S. (2007). MOBITM.
Vosloo, S. (2008). M4Girls. Retrieved from http://mlearningafrica.net/category/projects/
Vosloo, S. (2009). ImfundoYami/ImfundoYethu: Mobile learning for Mathematics. Retrieved from http://mlearningafrica.net/category/projects/
Wilson, P. (2008). Promoting positive attitudes. Retrieved November 10, 2015 from Electronic Resources Information Centre (ERIC) database (ERIC Document No EJ815090).
Xia, X., Lu, C. & Wang, B. (2008). Research on Mathematics Instruction Experiment Based Problem Posing, Journal of Mathematics Education, 1(1),153-163.
Yerushalmy, M. & Weizman, A. (2007). Math4Mobile mobile environments. The University of Haifa. http://www.math4mobile.com/[12 February 2014].
Yerushalmy, M. (2007). Math4Mobile mobile environments. The University of Haifa. http://www.math4mobile.com/ [12 February 2014]