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Schukajlow, Stanislaw; Krawitz, Janina; Kanefke, Jonas; Blum, Werner; Rakoczy, Katrin – Educational Studies in Mathematics, 2023
Open mathematical modelling problems that can be solved with multiple methods and have multiple possible results are an important part of school curricula in mathematics and science. Solving open modelling problems in school should prepare students to apply their mathematical knowledge in their current and future lives. One characteristic of these…
Descriptors: Mathematical Models, Cognitive Processes, Barriers, Cues
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Chang, Yu-Ping; Krawitz, Janina; Schukajlow, Stanislaw; Yang, Kai-Lin – ZDM: The International Journal on Mathematics Education, 2020
Mathematization is critical in providing students with challenges for solving modelling tasks. Inadequate assumptions in a modelling task lead to an inadequate situational model, and to an inadequate mathematical model for the problem situation. However, the role of assumptions in solving modelling problems has been investigated only rarely. In…
Descriptors: Foreign Countries, Mathematical Models, Problem Solving, Mathematics Instruction
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Krawitz, Janina; Chang, Yu-Ping; Yang, Kai-Lin; Schukajlow, Stanislaw – Educational Studies in Mathematics, 2022
To solve mathematical modelling problems, students must translate real-world situations, which are typically presented in text form, into mathematical models. To complete the translation process, the problem-solver must first understand the real-world situation. Therefore, reading comprehension can be considered an essential part of solving…
Descriptors: Reading Comprehension, Mathematical Models, Cross Cultural Studies, Grade 9
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Hartmann, Luisa-Marie; Krawitz, Janina; Schukajlow, Stanislaw – ZDM: Mathematics Education, 2021
As problem posing has been shown to foster students' problem-solving abilities, problem posing might serve as an innovative teaching approach for improving students' modelling performance. However, there is little research on problem posing regarding real-world situations. The present paper addresses this research gap by using a modelling…
Descriptors: Problem Solving, Problem Based Learning, Word Problems (Mathematics), Teaching Methods
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Krawitz, Janina; Schukajlow, Stanislaw – ZDM: The International Journal on Mathematics Education, 2018
Posing modelling problems in class is supposed to increase students' motivation. As motivation is assumed to emerge from task value and self-efficacy expectations, the present study considered both constructs with the aims to examine (1) whether students have different values and self-efficacy expectations concerning modelling problems versus…
Descriptors: Mathematics Instruction, Word Problems (Mathematics), Problem Solving, Mathematical Models