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. Cognitive Predictors of Child Second Language Comprehension and Syntactic Learning
  2. Derivative approximation using a discrete dynamic system
  3. Noninteracting optimal and adaptive torque control using an online parameter estimation with help of polynomials in EKF for a PMSM
  4. Comparing Empirical Methodologies in Pragmatics
  5. Learning shortest paths in word graphs
  6. Are Acute Effects of Foam-Rolling Attributed to Dynamic Warm Up Effects? A Comparative Study
  7. Passive Rotation of Rotational Joints and Its Computation Method
  8. Repeat Receipts: A device for generating visible data in market research focus groups
  9. Gain Adaptation in Sliding Mode Control Using Model Predictive Control and Disturbance Compensation with Application to Actuators
  10. BUSINESS MODELS IN BANKING: A CLUSTER ANALYSIS USING ARCHIVAL DATA
  11. Industry 4.0 more than a challenge in modeling, identification, and control for cyber-physical systems
  12. Making mutual learning tangible
  13. Forging of Mg–3Sn–2Ca–0.4Al Alloy Assisted by Its Processing Map and Validation Through Analytical Modeling
  14. Serendipity as a Mechanism of Change and its Potential for Explaining Change Processes
  15. Simulation and optimization of material and energy flow systems
  16. Micro and Macro Perspectives in Organization Theory
  17. Practical Formalist
  18. A Besov space mapping property for the double layer potential on polygons
  19. Development and evaluation of Open Educational Resources to improve teacher's knowledge on spatial abilities
  20. Separable models for interconnected production-inventory systems
  21. Improvements in Flexibility depend on Stretching Duration
  22. Tree diversity and mycorrhizal type co-determine multitrophic ecosystem functions
  23. Entry, exit and productivity
  24. A Sensitive Microsystem as Biosensor for Cell Growth Monitoring and Antibiotic Testing
  25. Does online-delivered Cognitive Behavioural Therapy for Insomnia improve insomnia severity in nurses working shifts? Protocol for a randomised-controlled trial
  26. Experimentally validated multi-step simulation strategy to predict the fatigue crack propagation rate in residual stress fields after laser shock peening
  27. Reframing the technosphere
  28. Systematic distributions of interaction strengths across tree interaction networks yield positive diversity–productivity relationships
  29. Diversity and specificity of host-natural enemy interactions in an urban-rural interface
  30. Managing (in) times of uncertainty
  31. Communication under the microscope: The theory and practice of microanalysis
  32. Key criteria for developing ecosystem service indicators to inform decision making
  33. Considering Teachers’ Beliefs, Motivation, and Emotions Regarding Teaching Mathematics With Digital Tools
  34. Telecoupling as a framework to support a more nuanced understanding of causality in land system science
  35. Implementation of EU labour law directives by way of national collective agreements
  36. Differential mortality rates in major and subthreshold depression
  37. Influence of measurement errors on networks
  38. Anatomical and neuromuscular variables strongly predict maximum knee extension torque in healthy men
  39. Behind the Scenes of Automation
  40. Elution of monomers from provisional composite materials
  41. Cognitive performance limitations in operating rooms
  42. Natality ‒ Philosophical Rudiments concerning a Generative Phenomenology
  43. Leveling up? An inter-neighborhood experiment on parochialism and the efficiency of multi-level public goods provision
  44. Exploring the Use of the Pronoun I in German Academic Texts with Machine Learning