Evaluating students’ mathematical creative thinking involved in modeling process. (English)

Rogerson, Alan (ed.), The mathematics education for the future project. Proceedings of the 13th international conference ‘Mathematics education in a connected world’, Catania, Sicily, Italy, September 16‒21, 2015. Münster: WTM-Verlag (ISBN 978-3-942197-44-1/pbk; 978-3-942197-86-1/ebook). Conference Proceedings in Mathematics Education 1, 123-129 (2015).

Summary: This paper illustrates the unique and applicable design of a research-based instrument that conceptualizes and assesses students’ mathematical creativity not as distinctive solutions or production, but rather as an integrated modeling process. In this process, students utilize a wide range of abilities and resources to construct meanings related to interdisciplinary, complex data, thereby producing an inventive and original conceptual mathematical system that can describe a structured situation in the “real world". The instrument, termed Mathematical Creativity Assessment Manual (MCAM), is based on the researchers’ operational definition factors: Appropriateness, Mathematical Resourcefulness and Originality, and utilizes students’ qualitative modeling products to evaluate and score their mathematical creativity. This instrument was successfully applied to over 150 students, and may be further developed to assess other similar creative mathematical problem-solving processes.