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

Activities

  1. Zombieland: Agent-based Computer Simulation
  2. Between Connections and Knowledge: An Approach to Culture through Graph Theory and Complex Systems
  3. Co-supervisor of the dissertation "Diversity and functions of plant-insect interactions along a forest retention gradient"
  4. From Podcast to Simulation Projects - Web 2.0 Projects in the Secondary EFL Classroom
  5. Global Platform Companies in Local Fields between Disruption and Integration
  6. Uncertainty and Subjectivity in Provenance Linked Open Data
  7. Interstitial spaces as garbage cans of field transformation where problems and solutions meet: the case of blockchain and music cross-fertilization
  8. Placemaking today: integrating place-oriented thinking into cultural policy frameworks
  9. Dynamical systems methods in fluid mechanics
  10. Lagrangian aspects of turbulent superstructures: numerical analysis of long-term dynamics and transport properties
  11. Continuous Innovation through Modular Upgradeability: How Software Upgrades Affect Consumer Product Valuations
  12. Princeton University
  13. Field Experimentation in Governance Research. Early insights from researching the effectiveness of public participation in implementing the EU Floods Directive
  14. Creating Third Spaces for Transdisciplinary Research
  15. From Archives to Activism: Using Data to Challenge Structures in Art Collections
  16. Concurrent Reconceptualization of Concurrent Sourcing
  17. Challenging the functionality of audits: Examining the bureaucratization of risks with Franz Kafka
  18. Explicit References in Chat-Based CSCL: Do They Faciliate Global Text Processing?
  19. Workshop "Digital Art History: Challenges, Tools and Practical Solutions" - 2011
  20. Towards a fully-automated adaptive e-learning environment: A predictive model for difficulty generating factors in gap-filling activities that target English tense-aspect-mood
  21. Workshop "Marked-based Instruments (MBI) for Ecosystem Services and Nature Protection" - 2011
  22. MDPI (Verlag)
  23. Artificial Intelligence, Human Expertise: the Case of Provenance Linked Open Data

Publications

  1. Digging into the roots
  2. Using transition management concepts for the evaluation of intersecting policy domains ('grand challenges')
  3. Commitment to grand challenges in fluid forms of organizing
  4. Resource extraction technologies - is a more responsible path of development possible?
  5. Using augmented video to test in-car user experiences of context analog HUDs
  6. Teachers’ use of data from digital learning platforms for instructional design
  7. Modeling Conditional Dependencies in Multiagent Trajectories
  8. Second language learners' performance in mathematics
  9. Acceleration of material-dominated calculations via phase-space simplicial subdivision and interpolation
  10. Sliding mode and model predictive control for inverse pendulum
  11. Factor structure and measurement invariance of the Students’ Self-report Checklist of Social and Learning Behaviour (SSL)
  12. Model predictive control for switching gain adaptation in a sliding mode controller of a DC drive with nonlinear friction
  13. Mechanism of dynamic recrystallization and evolution of texture in the hot working domains of the processing map for Mg-4Al-2Ba-2Ca Alloy
  14. More input, better output
  15. A comparison of ML, WLSMV and Bayesian methods for multilevel structural equation models in small samples: A simulation study
  16. Optimizing price levels in e-commerce applications with respect to customer lifetime values
  17. Passive Peak Voltage Sensor for Multiple Sending Coils Inductive Power Transmission System
  18. Dynamic environment modelling and prediction for autonomous systems
  19. Emergency detection based on probabilistic modeling in AAL-environments
  20. Top-down contingent attentional capture during feed-forward visual processing
  21. Online-scheduling using past and real-time data
  22. Eighth Workshop on Mining and Learning with Graphs
  23. A Voxel-based technique to estimate the volume of trees from terrestrial laser scanner data
  24. Designing a Thrifty Approach for SME Business Continuity: Practices for Transparency of the Design Process
  25. Effects of diversity versus segregation on automatic approach and avoidance behavior towards own and other ethnic groups