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AbstractIt is a well-documented finding that students tend to neglect their real-world knowledge when solving word problems, even when realistic assumptions are needed. Although studies have successfully shown the extent to which students tend to provide unrealistic responses, the question of where this tendency comes from has yet to be answered. We focused on two major steps needed to solve realistic word problems: noticing missing information and making realistic assumptions. We conducted two studies with fifth graders (Study 1, N?=?108; Study 2, N?=?60) in which we compared students’ (un-)realistic responses to problems that differed in how obvious the missing information was. Study 1 fostered only students’ ability to make assumptions. Study 2 fostered this ability plus the ability to notice missing information. The results indicate that, if the missing information is not obvious, students’ failure to notice it seems to be what prevents them from arriving at a realistic solution. 相似文献
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Johanna Rellensmann Stanislaw Schukajlow Claudia Leopold 《Educational Studies in Mathematics》2017,95(1):53-78
Drawing strategies are widely used as a powerful tool for promoting students’ learning and problem solving. In this article, we report the results of an inferential mediation analysis that was applied to investigate the roles that strategic knowledge about drawing and the accuracy of different types of drawings play in mathematical modelling performance. Sixty-one students were asked to create a drawing of the situation described in a task (situational drawing) and a drawing of the mathematical model described in the task (mathematical drawing) before solving modelling problems. A path analysis showed that strategic knowledge about drawing was positively related to students’ modelling performance. This relation was mediated by the type and accuracy of the drawings that were generated. The accuracy of situational drawing was related only indirectly to performance. The accuracy of mathematical drawings, however, was strongly related to students’ performance. We complemented the quantitative approach with a qualitative in-depth analysis of students’ drawings in order to explain the relations found in our study. Implications for teaching practices and future research are discussed. 相似文献
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Stanislaw Schukajlow Dominik Leiss Reinhard Pekrun Werner Blum Marcel Müller Rudolf Messner 《Educational Studies in Mathematics》2012,79(2):215-237
In this study which was part of the DISUM-project, 224 ninth graders from 14 German classes from middle track schools (Realschule)
were asked about their enjoyment, interest, value and self-efficacy expectations concerning three types of mathematical problems:
intra-mathematical problems, word problems and modelling problems. Enjoyment, interest, value and self-efficacy were assessed
before and after a ten-lesson teaching unit promoting modelling competency related to the topics “Pythagoras’ theorem” and
“linear functions”. The study aimed to answer the following research questions: (1) Do students’ enjoyment, value, interest
and self-efficacy expectations differ depending on the type of task? (2) Does the treatment of modelling problems in classroom
instruction influence these variables? (3) Are there any differential effects for different ways of teaching modelling problems,
including a “directive”, teacher-centred instruction and an “operative-strategic”, more student-centred instruction emphasising
group work and strategic scaffolding by the teacher? The findings show that there were no differences in students’ enjoyment,
interest, value and self-efficacy between the three types of tasks. However, teaching oriented towards modelling problems
had positive effects on some of the student variables, with the student-centred teaching method producing the most beneficial
effects. 相似文献
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Krawitz Janina Chang Yu-Ping Yang Kai-Lin Schukajlow Stanislaw 《Educational Studies in Mathematics》2022,109(2):337-359
Educational Studies in Mathematics - To solve mathematical modelling problems, students must translate real-world situations, which are typically presented in text form, into mathematical models.... 相似文献
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ABSTRACTAs information sources have expanded, there have been parallel changes in the way students and researchers find and use that information. The role of the library has shifted to embedding information literacy skills into the curriculum as a primary function. This presentation explored how librarians are becoming more involved with information literacy curriculum and how publishers can assist them, particularly regarding access to information and the scholarly publishing process. Since 2015, Rebecca Donlan at Florida Gulf Coast University (FGCU) and Stacy Stanislaw at Taylor & Francis Group have been collaborating on an information literacy program for FGCU students and faculty that focuses specifically on navigating the scholarly publishing landscape. Donlan and Stanislaw provided an overview of the project, its formation, implementation, and progress to date. 相似文献
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