Students Math Creative Thinking Skill
DOI:
https://doi.org/10.30631/ijer.v5i1.66Keywords:
Math, Creative, thinking, skillAbstract
This research aims at describing the ability and level of the student’s creative thinking. This is qualitative research. Operationally, this research was conducted with some steps, namely: giving a set of creative thinking test of 26 students to measure the ability and level of their creative thinking and choosing one student randomly from each student’s personality type to be interviewed to search their cognitive knowledge. The results show that every student has a creative thinking ability, but the level of creative thinking varies. The category of student’s creative thinking ability is “moderate or high.” The student’s creative thinking level is “very creative, creative, quite creative, or less creative.” The student’s cognitive knowledge is drawing, designing, ascertaining, dividing, reasoning, analogy, imagining, utilizing, solving, understanding, determining, mentioning, and using trial and error.
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References
Alenikov, A. (Ed.). (2002). The future of creativity. Bensenville, Il: Scholastic Testing Press.
Amabile, T.M. (1996). Creativity in context. Boulder, Colorado: Westview Press.
Anderson, L. et al., (2001). Taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy, New York NY: Longman.
Batey, M. & Furnham, A. (2006). Creativity, intelligence and personality: A critical review of the scattered literature. Genetic, Social, and General Psychology Monographs, 132, 355-429.
Batey, M., Chamorro-Premuzic, T., & Furnham, A. (2010). Intelligence and personality as predictors of divergent thinking: The role of general, fluid and crystallised intelligence. Thinking Skills and Creativity, 4, 60-69.
Batey, M., Furnham, A., & Safiullina, X. (2010). Intelligence, general knowledge and personality as predictors of creativity. Learning and Individual Differences, 20(5), 532-535. doi:10.1016/j.lindif.2010.04.008.
Bossé, M.J., & Bahr, D.L. (2008). The state of balance between procedural knowledge and conceptual understanding in mathematics teacher education. International Journal of Mathematics Teaching and Learning, 2008-11-25.
Briggs, M., & Davis, S. (2008). Creative teaching: Mathematics in the early years and primary classroom. London: Routledge.
Carson, S. H., Peterson, J. B., & Higgins, D. M. (2005). Reliability, validity, and factor structure of the creative achievement questionnaire. Creativity Research Journal, 17, 37–50. doi:10.1207/s15326934crj1701_4.
Choi, J. (2004). Individual and contextual predictors of creative performance: The mediating role of psychological processes. Creativity Research Journal, 16(2-3), 187-199. doi: 10.1207/s15326934crj1602&3_4.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education. Sixth Edition. British Journal of Educational Studies. DOI: 10.1111/j.1467-8527.2007.00388_4.x.
Dallas, M., & Gaier, E.L. (1970). Identification of creativity: The Individual. Psychological Bulletin, 73, 55-73.
de Lange, J. (2003). Mathematics for literacy. Quantitative literacy: Why numeracy matters for schools and colleges, pp.75–89. Available at: http://wwwdev.maa.org/ql/pgs75_89.pdf.
Eckblad, M., & Chapman, L.J. (1986). Development and validation of a scale for hypomanic personality. Journal of Abnormal Psychology, 95, pp. 214-222.
Ee, D.N.K., & Widjaja, W. (2013). Mathematical modelling in the primary school. 5th Redesigning Pedagogy International Conference, (June), 207–214. Retrieved from http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=216.
Feist, G.J. (1998). A meta-analysis of personality in scientific and artistic creativity. Personality and Social Psychology Review, 2, pp. 290-309.
Feist, J., & Feist, Gregory J. (2006). Theories of personality. Boston: Mrgraw-Hill Education.
Friedman, H. S., & Schustack, M. W. (Eds.). (2008). The personality reader (2nd ed.). Boston, MA: Allyn and Bacon.
Funder, D.C. (2001). Personality. Annual Review of Psychology, 52, pp. 197-221.
Goldberg, L.R. (1993). The structure of phenotypic personality traits. American Psychologist, 48, pp. 26-34.
Grieshober, Wiliam. E. (2004). Continuing a dictionary of creative term and definitions. Buffalo State College: The International Center for Studies in Creativity.
Guastello, S. J., & Shissler, J. E. (1994). A two-factor taxonomy of creative behavior. Journal of Creative Behavior, 28, pp. 211-221.
Guilford, J.P. (1967). The nature of human intelligence. New York: Mcgraw-Hill Book Company.
Guilford, J.P. (1968). Creativity, intelligence, and their educational implications. San Diego: CA: EDITS/Robert Knapp.
Guilford, J.P. (1975). Creativity: A quarter of century of progress, in Perspectives in creativity, I. A. Taylor & J. W. Getzels (eds.). Chicago: Aldine Publishing Company, pp. 37-59.
Guilford, J.P., & Hoepfner, R. (1971). The analysis of intelligence. New York: McGraw-Hill.
Hall, J. (1996) Integration, inclusion-What does it all mean? In Whose choice? In J. Coupe O 'Kane, and, J. Goldback (Eds.) Contentious issues for those working with people with learning disabilities. London: Fulton.
Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. ZDM, 29(3), 68-74.
Hurlock, E. B. (1999). Psikologi perkembangan: Suatu pendekatan sepanjang ruang kehidupan, Edisi 5. Jakarta: Erlangga.
Isaksen, S.G., & Treffinger, D.J. (2004). Celebrating 50 years of reflective practice: Versions of creative problem solving. The Journal of Creative Behavior, 38(2), 75–101. http://dx.doi.org/10.1002/j.2162-6057.2004.tb01234.x.
Isaksen, S.G., Dorval, K. B., & Treffinger, D. J. (2000). Creative approaches to problem solving: A framework for change. (2nd Edition). Dubuque, Iowa: Kendall/Hu.
Ivcevic, Z., & Mayer, J.D. (2006). Creative types and personality. Imagination, Cognition and Personality, Vol. 26(1-2) 65-86, 2006-2007.
Jamison, K.R. (1990). Manic-depressive illness and accomplishment: creativity, leadership, and social class, in Manic-depressive illness, F. Goodwin & K. R. Jamison (eds.). New York: Oxford University Press, pp. 332-367.
John, O.P., & Srivastava, S. (1999). The big five trait taxonomy: History, measurement, and theoretical perspectives, in Handbook of Personality, L. A. Pervin & O. P. John (eds.). New York: Guilford Press, pp. 102-138.
King, L.A., Walker, L. M., & Broyles, S.J. (1996). Creativity and the five factor model. Journal of Research in Personality, 30, pp. 189-203.
Krathwohl, D.R. (2002). A revision of Bloom’s taxonomy : An overview. Theory into Practice, 41(4), 212¬218.
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago, USA: The University of Chicago Press.
Martin, Pamela N. (2009). Societal transformation and reference services in the academic library: theoretical foundations for re-envisioning reference. Library Philosophy and Practice 2009 (May).
Mayer, J.D. (2003). Structural divisions of personality and the classification of traits. Review of General Psychology, 7, pp. 381-401.
Mayer, J.D. (2005). A tale of two visions: Can a new view of personality help integrate psychology? American Psychologist, 80, pp. 294-307.
McCrae, R.R. (1987). Creativity, divergent thinking, and openness to experience. Journal of Personality and Social Psychology, 52, pp. 1258-1265.
McGregor, S.L.T. (2007). International journal of consumer studies: Decade review (1997- 2006). International Journal of Consumer Studies, 31(1), 2-18.
Mumford, M. D. (2003). Where have we been, where are we going? Taking stock in creativity esearch. Creativity Research Journal, 15, 107–120. doi:10.1207/S15326934CRJ152&3_01.
Munandar, S.C. Utami. (1999). Kreativitas dan keberbakatan. Jakarta: Gramedia Pustaka Utama.
Munandar, S.C.U. (1977). Creativity and education. Jakarta: Fakultas Psikologi UI.
Neethling, K. (2000). The beyonders, in E.P. Torance, (Ed.), On the edge and keeping on the edge, pp. 153-166.
Olson, J.A. (1999). What academic librarians should know about creative thinking. The Journal of Academic Librarianship, Vol. 25 No. 5, pp. 383-389.
Pehkonen, E. & Törner. G. (2004). Methodological considerations on investigating teachers’ beliefs of mathematics and its teaching. NOMAD - Nordic Studies in Mathematics Education, 9(1), 21-49.
Pehkonen, Erkki (1997). The state-of-art in mathematical creativity. http://www.fiz.karlsruhe.de/fiz/publications/zdm ZDM Volum 29 (June 1997) Number 3. Electronic Edition ISSN 1615-679X.
Rahayu, (2015). Pembelajaran matematika dengan pendekatan PMRI memang beda. Buletin. PMRI/VI/Peb/2005, p.2015. Available at: http://www.pmri.or.id/main.php.
Santrock, J.W. (2003). Psychology (7th Ed.). New York: McGraw-Hill.
Santrock, J.W. (2007). Child development (11th Ed.). New York: McGraw-Hill.
Schuldberg, D. (1999). Creativity, bipolarity, and the dynamics of style, in Affect, creative experience, and psychological adjustment, S. Russ (ed.), Brunner/Mazel. Pennsylvania: Philadelphia, pp. 221-237.
Silvia, P. J. (2008). Another look at creativity and intelligence. Exploring higherorder models and probable confounds. Personality and Individual Differences, 44, 1012–1021. . doi:10.1016/j.paid.2007.10.027.
Silvia, P. J., & Beaty, R. E. (2012). Making creative metaphors: The importance of fluid intelligence for creative thought. Intelligence, 40(4), 343–351. http://doi.org/10.1016/j.intell.2012.02.005.
Silvia, P. J., & Beaty, R. E. (2012). Making creative metaphors: The importance of fluid intelligence for creative thought. Intelligence, 40(4), 343–351. http://doi.org/10.1016/j.intell.2012.02.005
Siswono, T.T. (2004). Pendekatan pembelajaran matematika. Jakarta: Depdiknas.
Smith, M. K. (2008). Howard Gardner, Multiple intelligences and education. Infed, 1–11.
Solso, R. L. 1995. Cognitive psychology (4th ed.). Boston: Allyn & Bacon, Inc.
Sternberg, R.J. (2012). The assessment of creativity: An investment-based approach. Creativity Research Journal, 24(1), 3–12.
Stillman, G. A. (2015). Applications and modelling research in secondary classrooms: What have we learnt? Selected Regular Lectures from the 12th International Congress on Mathematical Education, (July), 791–805. http://doi.org/10.1007/978-3-319-17187-6.
Sugiyono, (2010). Metode penelitian kuantitatif kualitatif dan R & D. Bandung: Alfabeta.
Sugiyono. 2012. Metode penelitian kuantitatif kualitatif dan R & D. Bandung: Alfabeta.
Torrance, E. P. (1983). The importance of falling in love with "something". Creative Child & Adult Quarterly, 8, 72-78.
Torrance, E.P. (1988). The nature of creativity as manifest in its testing, in The Nature of Creativity, R. J. Sternberg (ed.). Cambridge, Massachusetts: Cambridge University Press.
Treffinger, D.J. (1980). Encouraging creative learning for the gifted and talented.
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2008). Elementary and middle school mathematics: Teaching developmentally. Boston, MA: Allyn and Bacon.
Williams, J.M., et al. (1988). Cognitive psychology and emotional disorders.
Wolfradt, U., & Pretz, J.E. (2001). Individual differences in creativity: Personality, story writing, and hobbies. European Journal of Personality, 15(4), 297-310.
Amabile, T.M. (1996). Creativity in context. Boulder, Colorado: Westview Press.
Anderson, L. et al., (2001). Taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy, New York NY: Longman.
Batey, M. & Furnham, A. (2006). Creativity, intelligence and personality: A critical review of the scattered literature. Genetic, Social, and General Psychology Monographs, 132, 355-429.
Batey, M., Chamorro-Premuzic, T., & Furnham, A. (2010). Intelligence and personality as predictors of divergent thinking: The role of general, fluid and crystallised intelligence. Thinking Skills and Creativity, 4, 60-69.
Batey, M., Furnham, A., & Safiullina, X. (2010). Intelligence, general knowledge and personality as predictors of creativity. Learning and Individual Differences, 20(5), 532-535. doi:10.1016/j.lindif.2010.04.008.
Bossé, M.J., & Bahr, D.L. (2008). The state of balance between procedural knowledge and conceptual understanding in mathematics teacher education. International Journal of Mathematics Teaching and Learning, 2008-11-25.
Briggs, M., & Davis, S. (2008). Creative teaching: Mathematics in the early years and primary classroom. London: Routledge.
Carson, S. H., Peterson, J. B., & Higgins, D. M. (2005). Reliability, validity, and factor structure of the creative achievement questionnaire. Creativity Research Journal, 17, 37–50. doi:10.1207/s15326934crj1701_4.
Choi, J. (2004). Individual and contextual predictors of creative performance: The mediating role of psychological processes. Creativity Research Journal, 16(2-3), 187-199. doi: 10.1207/s15326934crj1602&3_4.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education. Sixth Edition. British Journal of Educational Studies. DOI: 10.1111/j.1467-8527.2007.00388_4.x.
Dallas, M., & Gaier, E.L. (1970). Identification of creativity: The Individual. Psychological Bulletin, 73, 55-73.
de Lange, J. (2003). Mathematics for literacy. Quantitative literacy: Why numeracy matters for schools and colleges, pp.75–89. Available at: http://wwwdev.maa.org/ql/pgs75_89.pdf.
Eckblad, M., & Chapman, L.J. (1986). Development and validation of a scale for hypomanic personality. Journal of Abnormal Psychology, 95, pp. 214-222.
Ee, D.N.K., & Widjaja, W. (2013). Mathematical modelling in the primary school. 5th Redesigning Pedagogy International Conference, (June), 207–214. Retrieved from http://www.merga.net.au/publications/counter.php?pub=pub_conf&id=216.
Feist, G.J. (1998). A meta-analysis of personality in scientific and artistic creativity. Personality and Social Psychology Review, 2, pp. 290-309.
Feist, J., & Feist, Gregory J. (2006). Theories of personality. Boston: Mrgraw-Hill Education.
Friedman, H. S., & Schustack, M. W. (Eds.). (2008). The personality reader (2nd ed.). Boston, MA: Allyn and Bacon.
Funder, D.C. (2001). Personality. Annual Review of Psychology, 52, pp. 197-221.
Goldberg, L.R. (1993). The structure of phenotypic personality traits. American Psychologist, 48, pp. 26-34.
Grieshober, Wiliam. E. (2004). Continuing a dictionary of creative term and definitions. Buffalo State College: The International Center for Studies in Creativity.
Guastello, S. J., & Shissler, J. E. (1994). A two-factor taxonomy of creative behavior. Journal of Creative Behavior, 28, pp. 211-221.
Guilford, J.P. (1967). The nature of human intelligence. New York: Mcgraw-Hill Book Company.
Guilford, J.P. (1968). Creativity, intelligence, and their educational implications. San Diego: CA: EDITS/Robert Knapp.
Guilford, J.P. (1975). Creativity: A quarter of century of progress, in Perspectives in creativity, I. A. Taylor & J. W. Getzels (eds.). Chicago: Aldine Publishing Company, pp. 37-59.
Guilford, J.P., & Hoepfner, R. (1971). The analysis of intelligence. New York: McGraw-Hill.
Hall, J. (1996) Integration, inclusion-What does it all mean? In Whose choice? In J. Coupe O 'Kane, and, J. Goldback (Eds.) Contentious issues for those working with people with learning disabilities. London: Fulton.
Haylock, D. (1997). Recognising mathematical creativity in schoolchildren. ZDM, 29(3), 68-74.
Hurlock, E. B. (1999). Psikologi perkembangan: Suatu pendekatan sepanjang ruang kehidupan, Edisi 5. Jakarta: Erlangga.
Isaksen, S.G., & Treffinger, D.J. (2004). Celebrating 50 years of reflective practice: Versions of creative problem solving. The Journal of Creative Behavior, 38(2), 75–101. http://dx.doi.org/10.1002/j.2162-6057.2004.tb01234.x.
Isaksen, S.G., Dorval, K. B., & Treffinger, D. J. (2000). Creative approaches to problem solving: A framework for change. (2nd Edition). Dubuque, Iowa: Kendall/Hu.
Ivcevic, Z., & Mayer, J.D. (2006). Creative types and personality. Imagination, Cognition and Personality, Vol. 26(1-2) 65-86, 2006-2007.
Jamison, K.R. (1990). Manic-depressive illness and accomplishment: creativity, leadership, and social class, in Manic-depressive illness, F. Goodwin & K. R. Jamison (eds.). New York: Oxford University Press, pp. 332-367.
John, O.P., & Srivastava, S. (1999). The big five trait taxonomy: History, measurement, and theoretical perspectives, in Handbook of Personality, L. A. Pervin & O. P. John (eds.). New York: Guilford Press, pp. 102-138.
King, L.A., Walker, L. M., & Broyles, S.J. (1996). Creativity and the five factor model. Journal of Research in Personality, 30, pp. 189-203.
Krathwohl, D.R. (2002). A revision of Bloom’s taxonomy : An overview. Theory into Practice, 41(4), 212¬218.
Krutetskii, V. A. (1976). The psychology of mathematical abilities in schoolchildren. Chicago, USA: The University of Chicago Press.
Martin, Pamela N. (2009). Societal transformation and reference services in the academic library: theoretical foundations for re-envisioning reference. Library Philosophy and Practice 2009 (May).
Mayer, J.D. (2003). Structural divisions of personality and the classification of traits. Review of General Psychology, 7, pp. 381-401.
Mayer, J.D. (2005). A tale of two visions: Can a new view of personality help integrate psychology? American Psychologist, 80, pp. 294-307.
McCrae, R.R. (1987). Creativity, divergent thinking, and openness to experience. Journal of Personality and Social Psychology, 52, pp. 1258-1265.
McGregor, S.L.T. (2007). International journal of consumer studies: Decade review (1997- 2006). International Journal of Consumer Studies, 31(1), 2-18.
Mumford, M. D. (2003). Where have we been, where are we going? Taking stock in creativity esearch. Creativity Research Journal, 15, 107–120. doi:10.1207/S15326934CRJ152&3_01.
Munandar, S.C. Utami. (1999). Kreativitas dan keberbakatan. Jakarta: Gramedia Pustaka Utama.
Munandar, S.C.U. (1977). Creativity and education. Jakarta: Fakultas Psikologi UI.
Neethling, K. (2000). The beyonders, in E.P. Torance, (Ed.), On the edge and keeping on the edge, pp. 153-166.
Olson, J.A. (1999). What academic librarians should know about creative thinking. The Journal of Academic Librarianship, Vol. 25 No. 5, pp. 383-389.
Pehkonen, E. & Törner. G. (2004). Methodological considerations on investigating teachers’ beliefs of mathematics and its teaching. NOMAD - Nordic Studies in Mathematics Education, 9(1), 21-49.
Pehkonen, Erkki (1997). The state-of-art in mathematical creativity. http://www.fiz.karlsruhe.de/fiz/publications/zdm ZDM Volum 29 (June 1997) Number 3. Electronic Edition ISSN 1615-679X.
Rahayu, (2015). Pembelajaran matematika dengan pendekatan PMRI memang beda. Buletin. PMRI/VI/Peb/2005, p.2015. Available at: http://www.pmri.or.id/main.php.
Santrock, J.W. (2003). Psychology (7th Ed.). New York: McGraw-Hill.
Santrock, J.W. (2007). Child development (11th Ed.). New York: McGraw-Hill.
Schuldberg, D. (1999). Creativity, bipolarity, and the dynamics of style, in Affect, creative experience, and psychological adjustment, S. Russ (ed.), Brunner/Mazel. Pennsylvania: Philadelphia, pp. 221-237.
Silvia, P. J. (2008). Another look at creativity and intelligence. Exploring higherorder models and probable confounds. Personality and Individual Differences, 44, 1012–1021. . doi:10.1016/j.paid.2007.10.027.
Silvia, P. J., & Beaty, R. E. (2012). Making creative metaphors: The importance of fluid intelligence for creative thought. Intelligence, 40(4), 343–351. http://doi.org/10.1016/j.intell.2012.02.005.
Silvia, P. J., & Beaty, R. E. (2012). Making creative metaphors: The importance of fluid intelligence for creative thought. Intelligence, 40(4), 343–351. http://doi.org/10.1016/j.intell.2012.02.005
Siswono, T.T. (2004). Pendekatan pembelajaran matematika. Jakarta: Depdiknas.
Smith, M. K. (2008). Howard Gardner, Multiple intelligences and education. Infed, 1–11.
Solso, R. L. 1995. Cognitive psychology (4th ed.). Boston: Allyn & Bacon, Inc.
Sternberg, R.J. (2012). The assessment of creativity: An investment-based approach. Creativity Research Journal, 24(1), 3–12.
Stillman, G. A. (2015). Applications and modelling research in secondary classrooms: What have we learnt? Selected Regular Lectures from the 12th International Congress on Mathematical Education, (July), 791–805. http://doi.org/10.1007/978-3-319-17187-6.
Sugiyono, (2010). Metode penelitian kuantitatif kualitatif dan R & D. Bandung: Alfabeta.
Sugiyono. 2012. Metode penelitian kuantitatif kualitatif dan R & D. Bandung: Alfabeta.
Torrance, E. P. (1983). The importance of falling in love with "something". Creative Child & Adult Quarterly, 8, 72-78.
Torrance, E.P. (1988). The nature of creativity as manifest in its testing, in The Nature of Creativity, R. J. Sternberg (ed.). Cambridge, Massachusetts: Cambridge University Press.
Treffinger, D.J. (1980). Encouraging creative learning for the gifted and talented.
Van de Walle, J. A., Karp, K. S., & Bay-Williams, J. M. (2008). Elementary and middle school mathematics: Teaching developmentally. Boston, MA: Allyn and Bacon.
Williams, J.M., et al. (1988). Cognitive psychology and emotional disorders.
Wolfradt, U., & Pretz, J.E. (2001). Individual differences in creativity: Personality, story writing, and hobbies. European Journal of Personality, 15(4), 297-310.
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