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. Multilevel bridge governor by using model predictive control in wavelet packets for tracking trajectories
  2. Transductive support vector machines for structured variables
  3. Comparison of Odor Thresholds obtained by a Three Alternative Choice Procedure and by the Method of Limits
  4. Machine Learning Applications
  5. Soil conditions modify species diversity effects on tree functional trait expression
  6. Control oriented modeling of DCDC converters
  7. Semi-micro reflux procedure for minimization of chloride interference by COD determination.
  8. Multidimensionality of tree communities structure host-parasitoid networks and their phylogenetic composition
  9. The Forgotten Function of Forgetting
  10. 8th challenge on question answering over linked data (QALD-8)
  11. Interplays between relational and instrumental values
  12. QALD-10 — The 10th Challenge on Question Answering over Linked Data
  13. Introduction
  14. Analyzing Emotional Styles in the Field of Christian Religion and The Relevance of New Types of Visualization
  15. Enhancement of workability in AZ31 alloy - Processing maps
  16. Analytics and Intuition in the Process of Selecting Talent
  17. L'agenda 21 locale
  18. Managing information in the case of opinion spamming
  19. The pace of range expansion
  20. Decision-making models for Robotic Warehouse
  21. Accidental Representation–The Reconfiguration of Representation through Social Media
  22. Conceptualizing community in energy systems
  23. Lifeworld and System
  24. The temporal factor of change in stressor-strain relationships
  25. Datenstrukturen & Algorithmen
  26. Current issues in competence modeling and assessment
  27. Effects of strategy instructions on learning from text and pictures
  28. RelHunter
  29. Enforcement concepts and strategies in the EU
  30. Large trees are keystone structures in urban parks
  31. Introduction
  32. The multiplicity of emotions: A framework of emotional functions in decision making
  33. Continuous Casting with Mid-Process Alloying
  34. A Subspace to Describe Grasping Internal Forces in Robotic Manipulation Systems
  35. A revised theory of contestable markets