@inbook{1b856df3b4d045e887af18c66d958472,

title = "Solving a Task with Infinitely Many Solutions: Convergent and Divergent Thinking in Mathematical Creativity",

abstract = "Problem-solving has the potential to elicit creative mathematical thinking, especially when requesting to solve the problem in different ways. The current study focuses on the mathematical creativity elicited by such a problem, where there were infinitely many possible outcomes. Participants were adults with a range of mathematical backgrounds and resources. Their solutions were evaluated to identify both divergent and convergent thinking, taking into consideration fluency and flexibility. Findings show that the task was a suitable vehicle for eliciting mathematical creativity. For some participants, divergent thinking was coupled with convergent thinking, resulting in the identification of sets of infinitely many solutions to the task. Methodological issues relating to the analysis of mathematical creativity are discussed.",

keywords = "Infinitely many solutions, Creativity in problem-solving, Divergent and convergent thinking, Open-ended task",

author = "Michal Tabach and Esther Levenson",

year = "2018",

doi = "10.1007/978-3-319-99861-9_10",

language = "אנגלית",

isbn = "9783319998602",

series = "Research in Mathematics Education ",

publisher = "Springer International Publishing",

pages = "219--242",

editor = "Amado, {N{\'e}lia } and Carreira, {Susana } and Jones, {Keith }",

booktitle = "Broadening the Scope of Research on Mathematical Problem Solving : A Focus on Technology, Creativity and Affect",

}