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Journal ArticleDOI

Teaching methods for modelling problems and students’ task-specific enjoyment, value, interest and self-efficacy expectations

TLDR
In this article, the DISUM-project participants were asked about their enjoyment, interest, value, interest and self-efficacy expectations concerning three types of mathematical problems: intra-mathematical problems, word problems and modelling problems.
Abstract
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.

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Journal ArticleDOI

Affect + Cognition = Mathematical Problem Solving@@@Affect and Mathematical Problem Solving: A New Perspective

TL;DR: A theory of affect for Mathematical Problem Solving is proposed in this paper, with a focus on the role of affect in mathematical problem-solving, and a generic model for research.
Book ChapterDOI

Quality Teaching of Mathematical Modelling: What Do We Know, What Can We Do?

TL;DR: The topic of this paper is mathematical modelling or—as it is often, more broadly, called—applications and modelling, and some important aspects concerning the teaching of applications and modelling.
Journal ArticleDOI

Predictors of science, technology, engineering, and mathematics choice options: A meta-analytic path analysis of the social-cognitive choice model by gender and race/ethnicity.

TL;DR: The interest/choice model was found to fit the data well over all samples as well as within samples composed primarily of women and men and racial/ethnic minority and majority persons.
Journal ArticleDOI

Word problems in mathematics education: a survey

TL;DR: A broad overview of the research literature on word problem solving can be found in this article, where a number of major topics, questions, and debates have dominated the field of word problem analysis.
Journal ArticleDOI

Scaffolding and dialogic teaching in mathematics education: introduction and review

TL;DR: A review study of the recent scaffolding literature in mathematics education (2010-2015) based on 21 publications that fulfilled our criteria and 14 articles in this special issue that have scaffolding as a central focus is presented in this article.
References
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Book

Self-Efficacy: The Exercise of Control

TL;DR: SelfSelf-Efficacy (SE) as discussed by the authors is a well-known concept in human behavior, which is defined as "belief in one's capabilities to organize and execute the courses of action required to produce given attainments".
Journal ArticleDOI

A power primer.

TL;DR: A convenient, although not comprehensive, presentation of required sample sizes is providedHere the sample sizes necessary for .80 power to detect effects at these levels are tabled for eight standard statistical tests.
Journal ArticleDOI

Self-determination theory and the facilitation of intrinsic motivation, social development, and well-being.

TL;DR: Research guided by self-determination theory has focused on the social-contextual conditions that facilitate versus forestall the natural processes of self-motivation and healthy psychological development, leading to the postulate of three innate psychological needs--competence, autonomy, and relatedness.
Journal ArticleDOI

Motivational and self-regulated learning components of classroom academic performance.

TL;DR: In this article, a correlational study examined relationships between motivational orientation, self-regulated learning, and classroom academic performance for 173 seventh graders from eight science and seven English classes.
Journal ArticleDOI

Classrooms: Goals, structures, and student motivation.

TL;DR: In this paper, the authors examine the classroom learning environment in relation to achievement goal theory of motivation and argue for an identification of classroom structures that can contribute to a mastery orientation, a systematic analysis of these structures, and a determination of how these structures relate to each other.
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