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

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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.
OriginalspracheEnglisch
ZeitschriftZDM
Jahrgang47
Ausgabenummer7
Seiten (von - bis)1225-1240
Anzahl der Seiten16
ISSN1863-9690
DOIs
PublikationsstatusErschienen - 11.2015

DOI

Zuletzt angesehen

Publikationen

  1. Toward a methodical framework for comprehensively assessing forest multifunctionality
  2. A Graphic Language for Business Application Systems to Improve Communication Concerning Requirements Specification with the User
  3. Trap nests for bees and wasps to analyse trophic interactions in changing environments—A systematic overview and user guide
  4. Towards combined methods for recording ground beetles
  5. Archives
  6. Legitimation problems of participatory processes in technology assessment and technology policy
  7. How difficult is the adaptation of POS taggers?
  8. Kommentar zu Ute Tellmann
  9. Digital Seriality as Structure and Process
  10. Survey on challenges of Question Answering in the Semantic Web
  11. Crowdsourcing
  12. Interrogating the Phenomenon of Suffering and Smiling by Nigerians: A Mixed Methods Study
  13. Effect of yttrium addition on lattice parameter, Young's modulus and vacancy of magnesium
  14. Plant density modifies root system architecture in spring barley (Hordeum vulgare L.) through a change in nodal root number
  15. Learning how to request using textbooks
  16. Towards Faster IT Delivery: Identifying Factors Limiting the Speed of Enterprise IT
  17. How secondary-school students deal with issues of sustainable development in class*
  18. High resolution measurement of physical variables change for INS
  19. Neural Networks for Energy Optimization of Production Processes in Small and Medium Sized Enterprises
  20. What´s in a net? or: The end of the average
  21. Value Structure and Dimensions
  22. Effect of gap distortion on the field splitting of collective modes in superfluid He3-B
  23. Effects of plyometric training on postural control in static and dynamic testing situations
  24. Hacking the Classroom
  25. Digital twin support for laser-based assembly assistance
  26. Performance of the DSM-5-based criteria for Internet addiction