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Böswald, Valentin; Schukajlow, Stanislaw – ZDM: Mathematics Education, 2023
According to expectancy-value models, two important motivational constructs are task value and self-efficacy expectations. As students work intensively on mathematical problems in the classroom, teachers need the competence to judge whether students value solving the problem and how confident they are that they will succeed. However, not much is…
Descriptors: Mathematics Instruction, Problem Solving, Value Judgment, Self Esteem
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Rellensmann, Johanna; Schukajlow, Stanislaw; Blomberg, Judith; Leopold, Claudia – Applied Cognitive Psychology, 2022
Making drawings can help students avoid and overcome difficulties they encounter when solving real-world (or modeling) problems. However, many students do not make drawings spontaneously. In the present study, 132 students in Grades 9 and 10 were randomly assigned to the experimental conditions "with situational or mathematical drawing…
Descriptors: Secondary School Students, Grade 9, Grade 10, Freehand Drawing
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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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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
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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
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Rellensmann, Johanna; Schukajlow, Stanislaw – ZDM: The International Journal on Mathematics Education, 2017
Students' interest in mathematics is important for their learning of mathematics, and the ability to accurately judge students' motivational orientation is important for mathematics teachers. The aim of this study was to answer the following research questions: (1) Is there a difference in students' interest in solving problems with and without a…
Descriptors: Student Interests, Preservice Teachers, Mathematics Instruction, Mathematical Concepts
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Rellensmann, Johanna; Schukajlow, Stanislaw; Leopold, Claudia – ZDM: The International Journal on Mathematics Education, 2020
We report on the construction, validation, and implementation of an instrument for measuring students' strategic knowledge about drawing for geometry modelling problems, namely, the "strategic knowledge about drawing scale." We conducted a qualitative study and a quantitative study to validate the proposed construction and interpretation…
Descriptors: Geometry, Mathematics Instruction, Mathematics Achievement, High Achievement
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Schukajlow, Stanislaw; Krug, André; Rakoczy, Katrin – Educational Studies in Mathematics, 2015
Prompting students to construct multiple solutions for modelling problems with vague conditions has been found to be an effective way to improve students' performance on interest-oriented measures. In the current study, we investigated the influence of this teaching element on students' performance. To assess the impact of prompting multiple…
Descriptors: Prompting, Mathematics Instruction, Grade 9, Experimental Groups
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Achmetli, Kay; Schukajlow, Stanislaw; Krug, André – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
In the project MultiMa (Multiple solutions for mathematics teaching oriented toward students' self-regulation), we investigated the effects of prompting students to use multiple solution methods while solving real-world problems on their learning. In this quasi-experimental study, we compared three treatment conditions. In one condition, students…
Descriptors: Prompting, Instructional Effectiveness, Problem Solving, Self Management
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Schukajlow, Stanislaw; Krug, André – Journal for Research in Mathematics Education, 2014
Encouraging students to develop multiple solutions for given problems is an important way to improve mathematical knowledge. However, the influence of this teaching element on students' interest-related motivational orientations is an open question. In this article, we report the results of an experimental study (N = 145) that was carried out to…
Descriptors: Mathematics Instruction, Problem Solving, Prompting, Relevance (Education)
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Schukajlow, Stanislaw; Krug, André – North American Chapter of the International Group for the Psychology of Mathematics Education, 2014
We conducted an experimental study with 192 ninth graders in which we investigated a connection between performance and students' interest and enjoyment using task-unspecific and task-specific questionnaires. Students were randomly assigned to experimental group 1 or to experimental group 2. In group 1, they were asked about their affective…
Descriptors: Foreign Countries, Secondary School Students, Secondary School Mathematics, Grade 9
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Schukajlow, Stanislaw; Leiss, Dominik; Pekrun, Reinhard; Blum, Werner; Muller, Marcel; Messner, Rudolf – Educational Studies in Mathematics, 2012
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,…
Descriptors: Self Efficacy, Grade 9, Word Problems (Mathematics), Teaching Methods