Using heuristic worked examples to promote solving of reality‑based tasks in mathematics in lower secondary school

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

This study examined whether learning with heuristic worked examples can improve students’ competency in solving reality-based tasks in mathematics (mathematical modeling competency). We randomly assigned 134 students in Grade 5 and 180 students in Grade 7 to one of three conditions: control condition (students worked on reality-based tasks), worked example condition (students studied worked examples representing a realistic process of problem-solving by fictitious students negotiating solutions to the tasks), and prompted worked example condition (students additionally received self-explanation prompts). In all three conditions, the students worked on the tasks individually and independently for 45 min. Dependent measures were mathematical modeling competency (number of adequate solution steps and strategies) and modeling-specific strategy knowledge. Results showed that although strategy knowledge could be improved through the intervention for fifth and seventh graders, modeling competency was improved only for seventh graders. The prompting of self-explanations had no additional effect for either fifth or seventh graders.
Original languageEnglish
JournalInstructional Science
Volume50
Issue number4
Pages (from-to)529 - 549
Number of pages21
ISSN0020-4277
DOIs
Publication statusPublished - 01.08.2022

Bibliographical note

Publisher Copyright:
© 2022, The Author(s).

Recently viewed

Publications

  1. Errors, error taxonomies, error prevention, and error management
  2. Integrating the underlying structure of stochasticity into community ecology
  3. A tutorial introduction to adaptive fractal analysis
  4. Special Issue in Acquisitional Pragmatics in Foreign Language Learning
  5. Human–learning–machines: introduction to a special section on how cybernetics and constructivism inspired new forms of learning
  6. Mathematics in Robot Control for Theoretical and Applied Problems
  7. Using Complexity Metrics to Assess Silent Reading Fluency
  8. Globally asymptotic output feedback tracking of robot manipulators with actuator constraints
  9. Multilevel bridge governor by using model predictive control in wavelet packets for tracking trajectories
  10. Latent structure perceptron with feature induction for unrestricted coreference resolution
  11. Challenges and boundaries in implementing social return on investment
  12. XOperator - Interconnecting the semantic web and instant messaging networks
  13. Challenges in detecting proximal effects of existential threat on lie detection accuracy
  14. Experiments on the Fehrer-Raab effect and the ‘Weather Station Model’ of visual backward masking
  15. Parking space management through deep learning – an approach for automated, low-cost and scalable real-time detection of parking space occupancy
  16. Assembly Theory for Restoring Ecosystem Structure and Functioning
  17. Constructions and Reconstructions. The Architectural Image between Rendering and Photography
  18. Lyapunov stability analysis to set up a PI controller for a mass flow system in case of a non-saturating input
  19. Modeling of Logistic Processes in Assembly Areas