Teachers’ temporary support and worked-out examples as elements of scaffolding in mathematical modeling

Research output: Journal contributionsJournal articlesResearchpeer-review

Authors

Empirical findings show that students have manifold difficulties when dealing with mathematical modeling problems. Accordingly, approaches for supporting students in modeling-based learning environments have to be investigated. In the research presented here, we adopted a scaffolding perspective on teaching modeling with the aim of both providing students with adaptive support during their modeling and gradually enabling them to process modeling problems on their own. Two studies that deal with different elements of scaffolding students’ modeling processes are reported in this paper. Study I focuses on the adaptive core of scaffolding: Teacher–student interactions (5 teachers, 5 pairs of grade 9 students) during modeling are analyzed with regard to reasons, areas, and intentions of teacher support. Finally, these interactions are evaluated with respect to teachers’ adaptations to students’ needs in particular situations. Study II uses a series of worked-out examples intended to realize the scaffolding means of demonstrating preferred behaviors in order to prepare the students (4 grade 8 students) to process modeling problems on their own. We examine both students’ interactions with the materials and their imitation of demonstrated behaviors during problem solving. The findings of study I indicate that the participating teachers do not have or cannot flexibly activate the skills to support their students adaptively, so the use of materials facilitating scaffolding by employing particular scaffolding means such as demonstration could be beneficial. In turn, the results on students’ handling of worked-out examples in study II indicate the importance of teachers’ individual support during students’ processing of materials. Hence, synergistic forms of support—combining multiple, complementary agents and means—have to be considered for fostering students in modeling-based learning environments.
Original languageEnglish
JournalZDM
Volume47
Issue number7
Pages (from-to)1225-1240
Number of pages16
ISSN1863-9690
DOIs
Publication statusPublished - 11.2015

Recently viewed

Publications

  1. Nonlinear PD fault-tolerant control for dynamic positioning of ships with actuator constraints
  2. The temporal pattern of creativity and implementation in teams
  3. Strengthening the transformative impulse while mainstreaming real-world labs: Lessons learned from three years of BaWü-Labs
  4. Action Errors, Error Management, and Learning in Organizations
  5. Order parameters and energies of analytic and singular vortex lines in rotating3He-A
  6. Efficacy of a Web-Based Intervention With Mobile Phone Support in Treating Depressive Symptoms in Adults With Type 1 and Type 2 Diabetes
  7. Earnings Less Risk-Free Interest Charge (ERIC) and Stock Returns—A Value-Based Management Perspective on ERIC’s Relative and Incremental Information Content
  8. Errors in Organizations
  9. Variational pragmatics in the foreign language classroom
  10. German Utilities and distributed PV
  11. A Developmental Trend in the Structure of Time-Estimation Performance
  12. Bayesian Parameter Estimation in Green Business Process Management
  13. Adaptive Item Selection Under Matroid Constraints
  14. An automated, modular system for organic waste utilization using Hermetia illucens larvae
  15. Active learning for network intrusion detection
  16. Introducing #PBAE
  17. Managing Multiple Logics: The Role of Performance Measurement Systems in Social Enterprises
  18. Comparing Empirical Methodologies in Pragmatics
  19. Variational Pragmatics
  20. Global finite-time stabilization of a class of perturbed planar systems with actuator saturation and disturbances
  21. Exploiting ConvNet diversity for flooding identification
  22. Instruments for research on transition. Applied methods and approaches for exploring the transition of young care leavers to adulthood
  23. E-stability and stability of adaptive learning in models with private information
  24. Proxy Indicators for the Quality of Open-domain Dialogues
  25. Modern Baselines for SPARQL Semantic Parsing
  26. Anisotropy and mechanical properties of dissimilar Al additive manufactured structures generated by multi-layer friction surfacing
  27. Do children with deficits in basic cognitive functions profit from mixed age primary schools?
  28. Material utilization of organic residues
  29. Material flow analysis between dynamic modelling and life cycle assessment
  30. Modeling and simulation of the heterogenous material behavior in thermal-sprayed coatings
  31. Atomic Animals

Press / Media

  1. Computersimulation