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

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

  • Stanislaw Schukaljow
  • Dominik Leiss
  • Reinhard Pekrun
  • Werner Blum
  • Marcel Müller
  • Rudolf Messner
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 studentcentred
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.
Original languageEnglish
JournalEducational Studies in Mathematics
Volume79
Issue number2
Pages (from-to)215-237
Number of pages23
ISSN0013-1954
DOIs
Publication statusPublished - 02.2012

    Research areas

  • Didactics of Mathematics - Affect, Enjoyment, Modelling problems, self-efficacy, Self-regulation, Teaching methods, Word problems

Recently viewed

Publications

  1. Appendix A: Design, implementation, and analysis of the iGOES project
  2. Self-regulation in error management training: emotion control and metacognition as mediators of performance effects
  3. Some model properties to control a permanent magnet machine using a controlled invariant subspace
  4. Spaces for challenging experiences, indeterminacy, and experimentation
  5. Robust feedback linearization using an adaptive PD regulator for a sensorless control of a throttle valve
  6. Does thinking-aloud affect learning, visual information processing and cognitive load when learning with seductive details as expected from self-regulation perspective?
  7. A Study on the Performance of Adaptive Neural Networks for Haze Reduction with a Focus on Precision
  8. Using qualitative and quantitative arguments in decision-making situations
  9. For a return to the forgotten formula: 'Data 1 + Data 2 > Data 1'
  10. Advances in Dynamics, Optimization and Computation
  11. Using Language Learning Resources on YouTube
  12. Cognitive Predictors of Child Second Language Comprehension and Syntactic Learning
  13. A Theoretical Dynamical Noninteracting Model for General Manipulation Systems Using Axiomatic Geometric Structures
  14. Using augmented video to test in-car user experiences of context analog HUDs
  15. Measuring Learning Styles with Questionnaires Versus Direct Observation of Preferential Choice Behavior in Authentic Learning Situations
  16. Robust Control of Mobile Transportation Object with 3D Technical Vision System
  17. Teachers’ use of data from digital learning platforms for instructional design
  18. Cognitive load and instructionally supported learning with provided and learner-generated visualizations
  19. Modeling Conditional Dependencies in Multiagent Trajectories
  20. Towards a Global Script?
  21. Quantum Computing and the Analog/Digital Distinction
  22. Model predictive control for switching gain adaptation in a sliding mode controller of a DC drive with nonlinear friction
  23. Homogenization methods for multi-phase elastic composites
  24. How Much Home Office is Ideal? A Multi-Perspective Algorithm
  25. Finding Creativity in Predictability: Seizing Kairos in Chronos Through Temporal Work in Complex Innovation Processes
  26. A comparison of ML, WLSMV and Bayesian methods for multilevel structural equation models in small samples: A simulation study
  27. Return of Fibonacci random walks
  28. Restoring Causal Analysis to Structural Equation ModelingReview of Causality: Models, Reasoning, and Inference (2nd Edition), by Judea Pearl
  29. Guest Editorial Special Issue on Sensors in Machine Vision of Automated Systems