Academic Versus Creative Abilities in Mathematics: Two Components of the Same Construct?
Authors:
- Nava L. LivneNLNava L. Livne
- Roberta M. MilgramRMRoberta M. Milgram
- 1 April 2006
- journal article
- research article
- Published by Taylor & Francis in Creativity Research Journal
- Vol. 18 (2) , 199-212
Abstract
Structural equation modeling, hitherto used to examine unidimensional theoretical models only, was used to investigate 2 dimensions, abilities and levels, simultaneously. Good evidence for the validity of conceptualizing 2 types of mathematical ability, 1 academic and 1 creative, each at 4 hierarchical levels, was established in 10th- and 11th-grade students (N = 1,090). IQ scores, representing general academic ability, predicted academic, but not creative, ability in mathematics. Creative thinking predicted creative, but not academic, ability in mathematics. These findings led to an innovative approach to identifying mathematical abilities and provided reliable and valid psychometric tools to make it possible. Based on two new instruments, teachers can differentiate curricula and individualize instructional strategies to match each student's needs.Keywords
This publication has 31 references indexed in Scilit:
- Assessing academic and creative abilities in mathematics at four levels of understandingInternational Journal of Mathematical Education in Science and Technology, 1999
- Wherefore Art Thou, Multiple Intelligences? Alternative Assessments for Identifying Talent in Ethnically Diverse and Low Income StudentsGifted Child Quarterly, 1996
- The Structure of Giftedness: The Domain of Literature As an ExemplarGifted Child Quarterly, 1996
- Validity of psychological assessment: Validation of inferences from persons' responses and performances as scientific inquiry into score meaning.American Psychologist, 1995
- Validation of ideational fluency measures of original thinking in children.Journal of Educational Psychology, 1983
- Ideational fluency as a predictor of original problem solving.Journal of Educational Psychology, 1981
- Developmental test of Mednick's associative hierarchies of original thinking.Developmental Psychology, 1980
- Quantity and Quality of Creative Thinking in Children and AdolescentsChild Development, 1978
- Creative thinking and creative performance in Israeli students.Journal of Educational Psychology, 1976
- Convergent and discriminant validation by the multitrait-multimethod matrix.Psychological Bulletin, 1959