Resumen de The role of generating questions in mathematical modeling

Takumi Fukushima

• This study aims to clarify the role of generating questions in mathematical modeling and construct principles for teaching and learning mathematical modeling with an emphasis on generating questions. To achieve this purpose, the role of generating questions was determined by solving a sprinkler problem and considering the investigation process. Generating questions requires noticing the unknown and cognitive steps to elucidate the unknown and solve the problem. The process and outcome of generating questions were explored using an open-ended problem. This study demonstrates (1) the role in advancing mathematical modeling from various points of view, (2) the role of fostering mathematical modeling competencies, and (3) the role in facilitating the extension of the applicability of the mathematical model. Having established these roles, the principle of teaching and learning was constructed, which is expected to foster the ability to generate questions. This study demonstrates that, in mathematical modeling, generating questions is crucial for developing a clear sense of direction for modeling real-world problems. Furthermore, generating questions reflects on the structures of mathematical models, allowing the execution of the mathematical modeling process.