LEADER 05145 am 22006253u 450 001 9910337752103321 005 20200706120936.0 010 $a3-030-14931-5 024 7 $a10.1007/978-3-030-14931-4 035 $a(CKB)4100000008217431 035 $a(DE-He213)978-3-030-14931-4 035 $a(MiAaPQ)EBC5776074 035 $a(Au-PeEL)EBL5776074 035 $a(OCoLC)1105039765 035 $a(EXLCZ)994100000008217431 100 $a20190516d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aLines of Inquiry in Mathematical Modelling Research in Education$b[electronic resource] /$fedited by Gloria Ann Stillman, Jill P. Brown 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (X, 259 p. 60 illus., 27 illus. in color.) 225 1 $aICME-13 Monographs,$x2520-8322 311 $a3-030-14930-7 327 $aPreface -- Chapter 1. State of the Art on Mathematical Modelling in Mathematics Education ? Lines of Inquiry -- Chapter 2. Towards a Framework for a Dialectical Relationship between Pedagogical Practice and Research -- Chapter 3. Interplay between Research and Development of Teaching Practices in Mathematical Modelling -- Chapter 4. Establishing the Construct: Task Context -- Chapter 5. Approaches to Investigating Complex Dynamical Systems -- Chapter 6. Precision, Priorities, and Proxies in Mathematical Modelling -- Chapter 7. A Modelling Perspective on Students? Reasoning: From a Mathematical Model to a Motion Model -- Chapter 8. Teachers as Learners: Understanding and Valuing Mathematical Modelling through Professional Development -- Chapter 9. Assessing Sub-Competencies of Mathematical Modelling with the Help of Item Response Theory ? Presentation of a New Test Instrument -- Chapter 10. The Influence of Technology on the Mathematical Modelling of Physical Phenomena -- Chapter 11. Adapting a Cognitive Tool for Representing Prospective and Practicing Teachers' Interpretations of Students' Modelling Activities -- Chapter 12. Heuristic Strategies in Modelling Problems -- Chapter 13. The Impact of Task Authenticity on Students? Mathematical Modelling Process -- Chapter 14. Children with Mathematical Difficulties Cope with Modelling Tasks: The Case of Sami -- Chapter 15. Data modelling -- Chapter 16. Conclusions and Future Lines of Inquiry in Mathematical Modelling Research in Education -- Index. 330 $aThis open access book is based on selected presentations from Topic Study Group 21: Mathematical Applications and Modelling in the Teaching and Learning of Mathematics at the 13th International Congress on Mathematical Education (ICME 13), held in Hamburg, Germany on July 24?31, 2016. It contributes to the theory, research and teaching practice concerning this key topic by taking into account the importance of relations between mathematics and the real world. Further, the book addresses the ?balancing act? between developing students? modelling skills on the one hand, and using modelling to help them learn mathematics on the other, which arises from the integration of modelling into classrooms. The contributions, prepared by authors from 9 countries, reflect the spectrum of international debates on the topic, and the examples presented span schooling from years 1 to 12, teacher education, and teaching modelling at the tertiary level. In addition the book highlights professional learning and development for in-service teachers, particularly in systems where the introduction of modelling into curricula means reassessing how mathematics is taught. Given its scope, the book will appeal to researchers and teacher educators in mathematics education, as well as pre-service teachers and school and university educators. 410 0$aICME-13 Monographs,$x2520-8322 606 $aMathematics?Study and teaching  606 $aLearning 606 $aInstruction 606 $aTeaching 606 $aMathematics Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O25000 606 $aLearning & Instruction$3https://scigraph.springernature.com/ontologies/product-market-codes/O22000 606 $aTeaching and Teacher Education$3https://scigraph.springernature.com/ontologies/product-market-codes/O31000 608 $aElectronic books. 615 0$aMathematics?Study and teaching . 615 0$aLearning. 615 0$aInstruction. 615 0$aTeaching. 615 14$aMathematics Education. 615 24$aLearning & Instruction. 615 24$aTeaching and Teacher Education. 676 $a370 702 $aStillman$b Gloria Ann$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBrown$b Jill P$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910337752103321 996 $aLines of Inquiry in Mathematical Modelling Research in Education$92010010 997 $aUNINA