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Direct linkChang, 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
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
Rellensmann, Johanna; Schukajlow, Stanislaw; Blomberg, Judith; Leopold, Claudia – Mathematical Thinking and Learning: An International Journal, 2023
We investigated how students' strategic knowledge about situational (pictorial) drawings and mathematical (schematic) drawings affects drawing accuracy and modeling competencies in the domain of geometry. We conducted a pre-posttest experimental study with 473 students in grade 9. Students were randomly assigned to one of three treatment…
Descriptors: Geometry, Mathematics Instruction, Accuracy, Freehand Drawing
Leiss, Dominik; Plath, Jennifer; Schwippert, Knut – Mathematical Thinking and Learning: An International Journal, 2019
Solving reality-based tasks is an important goal in mathematics instruction and is anchored in education standards determined by mathematical modeling skills. These tasks demand a serious examination of the real-world as well as text comprehension to successfully solve them. Therefore, this study empirically reconstructed the comprehension process…
Descriptors: Mathematics Instruction, Reading Ability, Mathematical Models, Grade 7
Biehler, Rolf; Frischemeier, Daniel; Podworny, Susanne – ZDM: The International Journal on Mathematics Education, 2018
Elements of statistical modeling can be implemented already in primary school. A prerequisite for this approach is that teachers are well-educated in this domain. Content knowledge, pedagogical content knowledge and (pedagogical) content related technological knowledge are core components of teacher education. We designed a course for elementary…
Descriptors: Preservice Teachers, Elementary School Teachers, Pedagogical Content Knowledge, Civics
Schukajlow, Stanislaw; Kolter, Jana; Blum, Werner – ZDM: The International Journal on Mathematics Education, 2015
In the study presented in this paper, we examined the possibility to scaffold mathematical modelling with strategies. The strategies were prompted using an instrument called "solution plan" as a scaffold. The effects of this step by step instrument on mathematical modelling competency and on self-reported strategies were tested using…
Descriptors: Mathematics Instruction, Scaffolding (Teaching Technique), Mathematical Models, Teaching Methods
Download full textGroße, Cornelia S. – European Journal of Science and Mathematics Education, 2015
The application of mathematics to real-world problems is moving more and more in the focus of attention of mathematics education; however, many learners experience huge difficulties in relating "pure" mathematics to everyday contents. In order to solve "modeling problems", it is first necessary to find a transition from a…
Descriptors: Foreign Countries, Mathematics, Mathematics Instruction, Mathematics Education
Mischo, Christoph; Maaß, Katja – Journal of Education and Training Studies, 2013
This paper presents an intervention study whose aim was to promote teacher beliefs about mathematics and learning mathematics and student competences in mathematical modeling. In the intervention, teachers received written curriculum materials about mathematical modeling. The concept underlying the materials was based on constructivist ideas and…
Descriptors: Mathematical Models, Teacher Attitudes, Beliefs, Intervention
Lingefjard, Thomas; Meier, Stephanie – Mathematics Education Research Journal, 2010
The work in the Comenius Network project Developing Quality in Mathematics Education II (DQME II) has a main focus on development and evaluation of modelling tasks. One reason is the gap between what mathematical modelling is and what is taught in mathematical classrooms. This article deals with one modelling task and focuses on how two teachers…
Descriptors: Mathematical Models, Mathematics Instruction, Teaching Methods, Mathematics Teachers
Klymchuk, Sergiy; Zverkova, Tatyana; Gruenwald, Norbert; Sauerbier, Gabriele – Teaching Mathematics and Its Applications: An International Journal of the IMA, 2008
This article presents the results of two studies on using an innovative pedagogical strategy in teaching mathematical modelling and applications to engineering students. Both studies are dealing with introducing non-traditional contexts for engineering students in teaching/learning of mathematical modelling and applications: environment and…
Descriptors: Mathematical Models, Ecology, Engineering Education, Foreign Countries
Peter-Koop, Andrea – Australian Primary Mathematics Classroom, 2005
The difficulties that primary students experience when dealing with real-world related word problems have been discussed extensively. These difficulties are not only related to complex, non-routine problems but already occur with respect to routine problems that involve the application of a simple algorithm. Due to difficulties with the…
Descriptors: Problem Solving, Word Problems (Mathematics), Mathematics Instruction, Foreign Countries
Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr…
Descriptors: Program Effectiveness, Foreign Countries, Middle Schools, Textbooks
