The Search for Mathematical Creativity: Identifying Creative Potential in Middle School Students

REFERENCES

• Balka , D. S. ( 1974 ). The development of an instrument to measure creative ability in mathematics . Dissertation Abstracts International , 36 ( 01 ), 98 .
   Google Scholar
• Carlton , V. L. ( 1959 ). An analysis of the educational concepts of fourteen outstanding mathematicians, 1790–1940, in the areas of mental growth and development, creative thinking, and symbolism and meaning . Dissertation Abstracts , 20 ( 6 ), 2131 .
   Google Scholar
• Committee on Science, Engineering and Public Policy . ( 2005 ). Rising above the gathering storm: Energizing and employing America for a brighter economic future . Washington , DC : National Academies Press .
   Google Scholar
• Connecticut State Board of Education . ( 2001 ). Connecticut mastery tests: Third generation mathematics handbook . Retrieved February 14, 2004 from http://www.state.ct.us/sde/dtl/curriculum/mathcmt3/currmath_publ_cmt3.htm
   Google Scholar
• Crosswhite , F. J. ( 1987 ). Cognitive science and mathematics education: A mathematician's perspective . In A. H. Schoenfeld (Ed.), Cognitive science and mathematics education (pp. 253 – 277 ). Mahwah , NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Dillion , J. T. ( 1982 ). Problem finding and solving . Journal of Creative Behavior , 16 , 97 – 111 .
   Web of Science ®Google Scholar
• Evans , E. W. ( 1964 ). Measuring the ability of students to respond in creative mathematical situations at the late elementary and early junior high school level . Dissertation Abstracts , 25 ( 12 ), 7107 .
   Google Scholar
• Feldhusen , J. F. , & Westby , E. L. ( 2003 ). Creative and affective behavior: Cognition, personality and motivation . In J. Houtz (Ed.), The educational psychology of creativity (pp. 95 – 105 ). Cresskill , NJ : Hampton Press .
   Google Scholar
• Fennema , E. , & Sherman , J. A. ( 1976 ). Instruments designed to measure attitudes towards the learning of mathematics by females and males . Madison : University of Wisconsin .
   Google Scholar
• Getzels , J. W. ( 1988 ). Problem finding and creative thought . Questioning Exchange , 2 , 95 – 103 .
   Google Scholar
• Getzels , J. W. , & Csikszentmihalyi , M. ( 1976 ). The creative vision: A longitudinal study of problem finding in art . New York : John Wiley & Sons .
   Google Scholar
• Getzels , J. W. , & Jackson , P. W. ( 1962 ). Creativity and intelligence: Explorations with gifted students . New York : Wiley .
   Google Scholar
• Haylock , D. W. ( 1984 ). Aspects of mathematical creativity in children aged 11–12 (Doctoral dissertation, Chelsea College, University of London, 1984) . British Thesis Service . (The British Library System No. 0009803014) .
   Google Scholar
• Haylock , D. W. ( 1987 ). A framework for assessing mathematical creativity in school children . Education Studies in Mathematics , 18 , 59 – 74 .
   Google Scholar
• Haylock , D. ( 1997 ). Recognizing mathematical creativity in school children . International Reviews on Mathematical Education , 29 ( 3 ), 68 – 74 . Retrieved March 10, 2003 from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97
   Google Scholar
• Hembree , R. ( 1992 ). Experimental and relational studies in problem solving: A meta-analysis . Journal for Research in Mathematics Education , 23 , 242 – 273 .
   Web of Science ®Google Scholar
• Hennesey , B. A. ( 2007 ). Creativity and motivation in the classroom: A social psychology and multi-cultural perspective . In A.-G. Tan (Ed.), Creativity: A handbook for teachers (pp. 27 – 45 ). Singapore : World Scientific .
   Google Scholar
• Hong , E. , & Aqui , Y. ( 2004 ). Cognitive and motivational characteristics of adolescents gifted in mathematics: Comparisons among students with different types of giftedness . Gifted Child Quarterly , 48 , 191 – 201 .
   Web of Science ®Google Scholar
• Jensen , L. R. ( 1973 ). The relationships among mathematical creativity, numerical aptitude and mathematical achievement . Dissertation Abstracts International , 34 ( 05 ), 2168 .
   Google Scholar
• Khatena , J. , & Torrance , E. P. ( 1976 ). Khatena–Torrance creative perception inventory . Bensenville , IL : Scholastic Testing Service .
   Google Scholar
• Kim , H. , Cho , S. , & Ahn , D. ( 2003 ). Development of mathematical creative problem solving ability test for identification of gifted in math . Gifted Education International , 18 , 164 – 174 .
   Google Scholar
• Krutetskii , V. A. ( 1976 ). The psychology of mathematical abilities in school children . Chicago : University of Chicago Press .
   Google Scholar
• Livne , N. L. (2003). Giftedness in mathematics as a bi-dimensional phenomenon: Theoretical definition and psychometric assessment of levels of academic ability and levels of creative ability in mathematics . Tel-Aviv University, The Jaime and Joan Constantiner School of Education, Retrieved November 17, 2007 from http://www.tau.ac.il/education/toar3/archive/etakzir2003-5.htm
   Google Scholar
• Livne , N. L. , & Milgram , R. M. ( 2006 ). Academic versus creative abilities in mathematics: Two components of the same construct . Creativity Research Journal , 19 , 199 – 212 .
   Google Scholar
• Lee , K. S. , Hwang , D. , & Seo , J. J. ( 2003 ). A development of the test for mathematical creative problem solving ability . Journal of the Korea Society of Mathematical Education Series D: Research in Mathematical Education , 7 , 163 – 189 .
   Google Scholar
• Messiner , H. ( 2000 , July–August ). Creativity in mathematics education . Paper presented at the meeting of the International Congress on Mathematical Education, Tokyo. Retrieved November 14, 2004 from http://wwwmath1.uni-muenster.de/didaktik/u/meissne/www/creativity.crhm.doc
   Google Scholar
• Milgram , R. M. ( 1989 ). Teaching gifted and talented children in regular classrooms: An impossible dream or a full-time solution for a full-time problem . In R. M. Milgram (Ed.), Teaching gifted and talented learners in regular classrooms (pp. 7 – 32 ). Springfield , IL : Charles C. Thomas .
   Google Scholar
• Milgram , R. M. , & Livne , N. L. ( 2005 ). Creativity as a general and a domain-specific ability: The domain of mathematics as an exemplar . In J. C. Kaufman & J. Baer (Eds.), Creativity across the domains: Faces of the muse (pp. 187 – 204 ). Mahwah , NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Milgram , R. M. , & Livne , N. L. ( 2006 ). Research on creativity in Israel . In J. C. Kaufman & R. J. Sternberg (Eds.), The international handbook of creativity (pp. 307 – 336 ). New York : Cambridge University Press .
   Google Scholar
• National Center for Education Statistics . ( 2007 ). Bachelor's degrees conferred by degree-granting institutions, by sex, race/ethnicity, and major field of study: 2005–06 . Retrieved March 18, 2008 from http://nces.ed.gov/programs/digest/d07/tables/dt07_275.asp
   Google Scholar
• Pehkonen , E. ( 1997 ). The state-of-art in mathematical creativity . International Reviews on Mathematical Education , 29 , 63 – 66 . Retrieved March 10, 2003 from http://www.fiz-karlsruhe.de/fix/publications/zdm/adm97
   Google Scholar
• Plucker , J. A. , & Beghetto , R. A. ( 2004 ). Why creativity is domain general, why it looks domain specific, and why the distinction does not matter . In R. J. Sternberg , E. L. Grigorenko , & J. L. Singer (Eds.), Creativity from potential to realization (pp. 153 – 167 ). Washington , DC : American Psychological Association .
   Google Scholar
• Prouse , H. L. ( 1964 ). The construction and use of a test for the measure of certain aspects of creativity in seventh-grade mathematics . Dissertation Abstracts , 26 ( 01 ), 394 .
   Google Scholar
• Prouse , H. L. ( 1967 ). Creativity in school mathematics . Mathematics Teacher , 60 , 876 – 879 .
   Google Scholar
• Reis , S. M. , & Renzulli , J. S. ( 1982 ). A case for a broaden conception of giftedness . Phi Delta Kappan , 63 , 619 – 620 .
   Web of Science ®Google Scholar
• Renzulli , J. S. , Smith , L. H. , White , A. J. , Callahan , C. M. Hartman , R. K. , et al. . ( 2004 ). Scales for rating the behavioral characteristics of superior students . Mansfield Center , CT : Creative Learning Press .
   Google Scholar
• Runco , M. A. ( 2004 ). Creativity . In S. T. Fiske , D. L. Schacter , & C. Zahn-Waxler (Eds.), Annual review of psychology (pp. 657 – 687 ). Palo Alto , CA, Annual Reviews . Retrieved November 20, 2005 from http://arjournals.annualreviews.org/doi/full/10.1146/annurev.psych.55.090902.141502
   Google Scholar
• Selby , E. C. , Shaw , E. J. , & Houtz , J. C. ( 2005 ). The creative personality . Gifted Child Quarterly , 49 , 300 – 314 .
   Web of Science ®Google Scholar
• Selby , E.C. , Treffinger , D. J. , Isaksen , S. G. , & Lauer , K. J. ( 2004 ). Defining and assessing problem solving style: Design and development of a new tool . Journal of Creative Behavior , 38 , 221 – 243 .
   Web of Science ®Google Scholar
• Seo , H. , Lee , E. A. , & Kim , E. H. ( 2005 ). Korean science teachers' understanding of creativity in gifted education . Journal of Secondary Gifted Education , 14 , 98 – 105 .
   Google Scholar
• Sternberg , R. J. ( 1996 ). What is mathematical thinking ? In R. J. Sternberg & T. Ben-Zeev (Eds.), The nature of mathematical thinking (pp. 303 – 318 ). Mahwah , NJ : Lawrence Erlbaum Associates .
   Google Scholar
• Sternberg , R. L. ( 2007 ). Creativity as a habit . In A.-G. Tan (Ed.), Creativity: A handbook for teachers (pp. 5 – 25 ). Singapore : World Scientific .
   Google Scholar
• Stokes , P. D. ( 2001 ). Variations on Guilford's creative abilities . Creativity Research Journal , 13 , 277 – 283 .
   Web of Science ®Google Scholar
• Treffinger , D. J. ( 2003 ). Assessment and measurement in creativity and creative problem solving . In J. C. Houtz (Ed.), The educational psychology of creativity (pp. 59 – 93 ). Cresskill , NJ : Hampton Press .
   Google Scholar
• U.S. Department of Education . ( 2008 ). Foundations for success: Report of the national mathematics advisory panel . Retrieved March 18, 2008 from http://www.ed.gov/about/bdscomm/list/mathpanel/index.html
   Google Scholar
• U.S. Department of Education, National Center for Education Statistics . ( 2003 ). Comparative indicators of education in the United States and other G-8 countries: 2002 (NCES Publication No. 2003-26) . Washington , DC : Author .
   Google Scholar