Details

Autor(en) / Beteiligte

• Ishibashi, Ippo
• Uegatani, Yusuke

Titel

Cultural relevance of validation during mathematical modeling and word problem-solving: Reconceptualizing validation as an integration of possible fictional worlds

Ist Teil von

• The Journal of mathematical behavior, 2022-06, Vol.66, p.100934, Article 100934

Ort / Verlag

Elsevier Inc

Erscheinungsjahr

2022

Link zum Volltext

Quelle

Elsevier ScienceDirect Journals Complete

Beschreibungen/Notizen

• This study proposes a theoretical view for bridging mathematical modeling and word problem-solving activities. We introduce and elaborate on two theoretical ideas of the fictionality of word problems and the creation of possible fictional worlds. A world described by a word problem exists only fictionally (or potentially). A fictional world includes any imaginable world, any model for the real world, and any mathematical model. We developed a semi-open problem based on these theoretical ideas and observed Japanese eighth-grade students’ activity when solving it in an experimental lesson. Consequently, we identified a theoretically overlooked type of validation: considering the cultural relevance of solutions. The most important implication we draw from our observation is that the current definition of validation as a comparison between two stages in modeling should be extended to consider the integration of a target into a base possible fictional world. •Bridging authentic mathematical modeling and artificial word problem-solving.•The fictionality of word problems is explored as a theoretical construct.•Activities can prompt students’ problem-solving processes and validation.•Validation should consider the cultural relevance of solutions.•Validation should integrate a target into a base possible fictional world.