Trends in Teaching and Learning of Mathematical Modelling ICTMA14 /

Applications and modelling and their learning and teaching in school and university have become a prominent topic in the last decades in view of the world-wide importance of the usage of mathematics in science, technology and everyday life. Trends in Teaching and Learning of Mathematical Modelling p...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Kaiser, Gabriele (Επιμελητής έκδοσης), Blum, Werner (Επιμελητής έκδοσης), Borromeo Ferri, Rita (Επιμελητής έκδοσης), Stillman, Gloria (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Dordrecht : Springer Netherlands, 2011.
Σειρά:International Perspectives on the Teaching and Learning of Mathematical Modelling, 1
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Series Preface: Gabriele Kaiser and Gloria Stillman
  • Chapter 1: Trends in Teaching and Learning of Mathematical Modelling (ICTMA14) – Preface : Gabriele Kaiser, Werner Blum, Rita Borromeo Ferri, Gloria Stillman
  • Part I: Modelling from Primary to Upper Secondary School:  Findings of Empirical Research
  • Chapter 2: Modelling from Primary to Upper Secondary School: Findings of Empirical Research – Overview: Thomas Lingefjärd
  • Chapter 3:  Can Modelling be Taught and Learnt? Some Answers from Empirical Research: Werner Blum
  • Chapter 4: Can Modelling Be Taught and Learnt? – A Commentary: Marcelo C. Borba
  • Chapter 5: Upper Secondary Students' Handling of Real-World Contexts: Andreas Busse
  • Chapter 6: Word Problem Classification: A Promising Modelling Task at the Elementary Level: Dirk de Bock, Kim Vleugels, and Lieven Verschaffel
  • Chapter 7 :  Understanding and Promoting Mathematical Modeling Competencies: An Applied Perspective: George Ekol
  • Chapter 8: Secondary Teachers’ Beliefs About Teaching Applications - Design and Selected Results of a Qualitative Case Study: Frank Förster
  • Chapter 9: Secondary Teachers’ Beliefs on Modelling in Geometry and Stochastics: Boris Girnat and Andreas Eichler
  • Chapter 10: Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character:Roxana Grigoras, Fco. Javier García, and Stefan Halverscheid
  • Chapter 11: The Sun Hour Project: Thomas Lingefjärd and Stephanie Meier
  • Chapter 12: Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary Project: Kit Ee Dawn Ng
  • Chapter 13: Evaluation of Teaching Activities with Multi-Variable Functions in Context: Yoshiki  Nisawa and Seiji Moriya
  • Chapter 14: Mathematical Modelling in Secondary Education: A Case Study: José Ortiz and Aldora Dos Santos
  • Chapter 15: Students Overcoming Blockages While Building A Mathematical Model: Exploring A Framework : Sanne Schaap, Pauline Vos, and Martin Goedhart
  • Chapter 16: What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities And Modeling Teaching? : Shih-Yi Yu and Ching-Kuch Chang
  • Part II: Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective
  • Chapter 17: Looking Deeper into Modelling Processes:  Studies with a Cognitive Perspective – Overview: Susana Carreira
  • Chapter 18: Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at Secondary School: Gloria Stillman
  • Chapter 19: Effective Mathematical Modelling without Blockages – A Reaction on some Theoretical and Practical Ideas – A Commentary
  • Rita Borromeo Ferri
  • Chapter 20: Modelling Tasks: Insight into Mathematical Understanding: Jill P. Brown and Ian Edwards
  • Chapter 21: Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge: Susana Carreira, Nélia Amado, and Filipa Lecoq
  • Chapter 22: Students’ Modeling Routes in the Context of Object Manipulation and Experimentation in Mathematics: Susana Carreira and Ana Margarida Baioa
  • Chapter 23: Engineering Model Eliciting Activities for Elementary School Students: Nicolas G. Mousoulides and Lyn D. English
  • Chapter 24: Project Modelling Routes in 12 to 16-year-old Pupils: Manuel Sol, Joaquin Giménez and Núria Rosich
  • Part III: Modelling in Teacher Education
  • Chapter 25: Modelling in Teacher Education – Overview: Jill P. Brown
  • Chapter 26: Models and Modelling: Perspectives on Teaching and Learning Mathematics for the 21st Century: Helen Doerr and Richard Lesh
  • Chapter 27: Mathematical Modelling in a Distance Course for Teachers: Maria Salett Biembengut Hein and Thaís Mariane Biembengut Faria
  • Chapter 28: In-service and Prospective Teachers’ Views about Modelling Tasks in the Mathematics Classroom – Results of a Quantitative Empirical Study: Sebastian Kuntze
  • Chapter 29: Pre-service Secondary Mathematics Teachers’ Affinity with using Modelling Tasks in Teaching Years 8-10: Gloria Stillman and Jill P. Brown. Part IV:    Using Technologies: New Possible Ways of Learning and Teaching Modelling
  • Chapter 30: Using Technologies: New Possible Ways of Learning and Teaching Modelling – Overview: Gilbert Greefrath
  • Chapter 31: Factors Affecting Teachers’ Adoption of Innovative Practices with Technology and Mathematical Modelling: Vince Geiger
  • Chapter 32: Modelling Considering the Influence of Technology: Gilbert Greefrath, Hans-Stefan Siller, and Jens Weitendorf
  • Chapter 33: Improving Learning in Science and Mathematics with Exploratory and Interactive Computational Modelling: Rui Gomes Neves, Jorge Carvalho Silva, and Vítor Duarte Teodoro
  • Part V: Modelling Competency: Learning, Applying and Developing Competencies
  • Chapter 34: Modelling Competency: Learning, Applying and Developing Competencies – Overview: Morten Blomhøj
  • Chapter 35.
  • Drivers for Mathematical Modelling: Pragmatism in Practice: Christopher Haines
  • Chapter 36: Identifying Drivers for Mathematical Modelling – A Commentary: Katja Maaß
  • Chapter 37: Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students: Piera Biccard and Dirk Wessels
  • Chapter 38: Students’ Reflections in Mathematical Modelling Projects: Morten Blomhøj and Tinne Hoff Kjeldsen
  • Chapter 39: From Data to Functions: Connecting Modeling Competencies and Statistical Literacy: Joachim Engel and Sebastian Kuntze
  • Chapter 40: First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical Modelling Competencies: Peter Frejd and Jonas Bergman Ärlebäck
  • Chapter 41: Why Cats Happen to Fall From the Sky or On Good and Bad Models: Hans-Wolfgang Henn
  • Chapter 42: Assessing Modelling Competencies Using a Multidimensional IRT-Approach: Luzia Zöttl
  • Part VI: Modelling in Tertiary Education
  • Chapter 43: Modelling in Tertiary Education - Overview : Peter Galbraith
  • Chapter 44: The Mathematical Expertise of Mechanical Engineers – Taking and Processing Measurements: Burkhard Alpers
  • Chapter 45: Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study: Qi Dan and Jinxing Xie
  • Chapter 46: Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors: Johan Deprez
  • Chapter 47: Modelling and the Educational Challenge in Industrial Mathematics: Matti Heilio
  • Chapter 48:Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research: Norbert Gruenwald, Gabriele Sauerbier, Ajit Narayanan, Sergiy Klymchuk, and Tatyana Zverkova
  • Chapter 49: Using Response Analysis Mapping to Display Modellers’ Mathematical Modelling Progress: Akio Matsuzaki
  • Part VII: Modelling Examples and Modelling Projects: Concrete Cases
  • Chapter 50: Modelling Examples and Modelling Projects: Concrete Cases – Overview:  Hugh Burkhardt
  • Chapter 51: The Mathematical Expertise of Mechanical Engineers – Taking and Processing Measurements: Mette Andresen and Asbjoern Petersen
  • Chapter 52: Real-World Modelling in Regular Lessons: A Long-Term Experiment: Martin Bracke and Andreas Geiger
  • Chapter 53: Modelling Tasks at the Internet Portal “Program for Gifted”: Matthias Brandl
  • Chapter 54: Modelling at Primary School Through a French-German Comparison of Curricula and Textbooks: Richard Cabassut and Anke Wagner
  • Chapter 55: Modifying Teachers’ Practices: The Case of a European Training Course on Modelling and Applications: Javier García and Luisa Ruiz-Higueras
  • Chapter 56: Google’s PageRank – A Present Day Application of Mathematics in Classroom: Hans Humenberger
  • Chapter 57:  Authentic Modelling Problems in Mathematics Education:      Gabriele Kaiser, Björn Schwarz, and Nils Buchholtz
  • Chapter 58: Using Modelling Experiences to Develop Japanese Senior High School Students' Awareness of the Interrelations between Mathematics and Science: Tetsushi Kawasaki and Seiji Moriya
  • Chapter 59: Stochastic Case Problems for the Secondary Classroom with Reliability Theory : Usha Kotelawala
  • Chapter 60: LEMA – Professional Development of Teachers in Relation to Mathematical Modelling: atja Maaß and Johannes Gurlitt
  • Chapter 61: Modelling in the Classroom – Obstacles from the Teacher’s Perspective: Barbara Schmidt
  • Chapter 62: Teachers’ Professional Learning: Modelling at the Boundaries: Geoff Wake
  • Part VIII: Theoretical and Curricular Reflections on Modelling
  • Chapter 63: Theoretical and Curricular Reflections on Modelling – Overview: Pauline Vos
  • Chapter 64: Making Connections between Modelling and Constructing Mathematics Knowledge: An Historical Perspective: Toshikazu Ikeda and Max Stephens
  • Chapter 65: Practical Knowledge of Research Mathematicians, Scientists and Engineers about the Teaching of Modelling: Jeroen Spandaw
  • Chapter 66: Evolution of Applications and Modelling in a Senior Secondary Curriculum: Gloria Stillman and Peter Galbraith
  • Chapter 67: Sense of Reality Through Mathematical Modeling: Jhony A.Villa-Ochoa and Carlos M. Jaramillo L
  • Chapter 68: What is ‘Authentic’ in the Teaching and Learning of Mathematical Modelling?: Pauline Vos.