Trends in Teaching and Learning of Mathematical Modelling (Tren dalam Pengajaran dan Pembelajaran Pemodelan Matematika)
Buku ini diterbitkan pertama kali Tahun 2011 Oleh Apringer
Judul: Trends in Teaching and Learning of Mathematical Modelling (Tren dalam Pengajaran dan Pembelajaran Pemodelan Matematika)
Oleh: Gabriele Kaiser
Penerbit: Apringer
Tahun: 2011
Jumlah Halaman: 747 hal.
Pengarang:
-
Lingkup Pembahasan:
Buku ini bertujuan untuk mempromosikan diskusi akademis tentang pengajaran dan pembelajaran dari pemodelan matematika di berbagai tingkat pendidikan di seluruh dunia. Serial ini akan menerbitkan buku-buku dari berbagai perspektif teoritis di seluruh dunia yang berhubungan dengan pengajaran dan pembelajaran pemodelan matematika pada tingkat sekolah menengah dan tingkat sekolah tinggi. Seri ini akan memungkinkan International Community of Teachers of Mathematical Modelling and Applications (ICTMA), sebuah Kelompok Studi ICMI berafiliasi, untuk menerbitkan buku-buku berseri yang keluar dua tahunan. ICTMA adalah kelompok yang unik di seluruh dunia, di mana tidak hanya pendidik matematika bertujuan untuk pendidikan di tingkat sekolah, tetapi termasuk juga matematikawan tertarik dalam pengajaran dan pemodelan belajar di tingkat tinggi.
Daftar Isi:
1 Trends in Teaching and Learning of Mathematical Modelling — Preface 1
Gabriele Kaiser, Werner Blum, Rita Borromeo Ferri, and Gloria Stillman
Part I Modelling from Primary to Upper Secondary School: Findings of Empirical Research
2 Modelling from Primary to Upper Secondary School: Findings of Empirical Research – Overview 9
Thomas Lingefjärd
3 Can Modelling Be Taught and Learnt? Some Answers from Empirical Research 15
Werner Blum
4 Can Modelling Be Taught and Learnt? – A Commentary 31
Marcelo C. Borba
5 Upper Secondary Students’ Handling of Real-World Contexts 37
Andreas Busse
6 Word Problem Classification: A Promising Modelling Task at the Elementary Level 4 7
Wim Van Dooren, Dirk de Bock, Kim Vleugels, and Lieven Verschaffel
7 Understanding and Promoting Mathematical Modelling Competencies: An Applied Perspective 57
George Ekol
8 Secondary Teachers’ Beliefs About Teaching Applications – Design and Selected Results of a
Qualitative Case Study 65
Frank Förster
9 Secondary Teachers’ Beliefs on Modelling in Geometry and Stochastics 75
Boris Girnat and Andreas Eichler
10 Examining Mathematising Activities in Modelling Tasks with a Hidden Mathematical Character 85
Roxana Grigoraş, Fco. Javier García, and Stefan Halverscheid
11 The Sun Hour Project 97
Thomas Lingefjärd and Stephanie Meier
12 Mathematical Knowledge Application and Student Difficulties in a Design-Based Interdisciplinary
Project 107
Kit Ee Dawn Ng
13 Evaluation of Teaching Activities with Multi-Variable Functions in Context 117
Yoshiki Nisawa, and Seiji Moriya
14 Mathematical Modelling in Secondary Education: A Case Study 127
José Ortiz and Aldora Dos Santos
15 Students Overcoming Blockages While Building A Mathematical Model: Exploring A Framework 137
Sanne Schaap, Pauline Vos, and Martin Goedhart
16 What Did Taiwan Mathematics Teachers Think of Model-Eliciting Activities And Modelling
Teaching? 147
Shih-Yi Yu and Ching-Kuch Chang
Part II Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective
17 Looking Deeper into Modelling Processes: Studies with a Cognitive Perspective – Overview 159
Susana Carreira
18 Applying Metacognitive Knowledge and Strategies in Applications and Modelling Tasks at
Secondary School 165
Gloria Stillman
19 Effective Mathematical Modelling without Blockages – A Commentary 181
Rita Borromeo Ferri
20 Modelling Tasks: Insight into Mathematical Understanding 187
Jill P. Brown and Ian Edwards
21 Mathematical Modelling of Daily Life in Adult Education: Focusing on the Notion of Knowledge 199
Susana Carreira, Nélia Amado, and Filipa Lecoq
22 Students’ Modelling Routes in the Context of Object Manipulation and Experimentation in
Mathematics 211
Susana Carreira and Ana Margarida Baioa
23 Engineering Model Eliciting Activities for Elementary School Students 221
Nicolas G. Mousoulides and Lyn D. English
24 Project Modelling Routes in 12 to 16-Year-Old Pupils 231
Manuel Sol, Joaquin Giménez, and Núria Rosich
Part III Mathematical Modelling in Teacher Education
25 Mathematical Modelling in Teacher Education – Overview 243
Jill P. Brown
26 Models and Modelling Perspectives on Teaching and Learning Mathematics in the Twenty-First
Century 247
Helen M. Doerr and Richard Lesh
27 Mathematical Modelling in a Distance Course for Teachers 269
Maria Salett Biembengut and Thaís Mariane Biembengut Faria
28 In-Service and Prospective Teachers’ Views About Modelling Tasks in the Mathematics Classroom –
Results of a Quantitative Empirical Study 279
Sebastian Kuntze
29 Pre-service Secondary Mathematics Teachers’ Affinity with Using Modelling Tasks in Teaching Years
8–10 289
Gloria Stillman and Jill P. Brown
Part IV Using Technologies: New Possibilities of Teaching and Learning Modelling
30 Using Technologies: New Possibilities of Teaching and Learning Modelling – Overview 301
Gilbert Greefrath
31 Factors Affecting Teachers’ Adoption of Innovative Practices with Technology and Mathematical
Modelling 305
Vince Geiger
32 Modelling Considering the Influence of Technology 315
Gilbert Greefrath, Hans-Stefan Siller, and Jens Weitendorf
33 Improving Learning in Science and Mathematics with Exploratory and Interactive Computational
Modelling 331
Rui Gomes Neves, Jorge Carvalho Silva, and Vítor Duarte Teodoro
Part V Modelling Competency: Teaching, Learning and Assessing Competencies
34 Modelling Competency: Teaching, Learning and Assessing Competencies – Overview 343
Morten Blomhj
35 Drivers for Mathematical Modelling: Pragmatism in Practice 349
Christopher Haines
36 Identifying Drivers for Mathematical Modelling– A Commentary 367
Katja Maaß
37 Documenting the Development of Modelling Competencies of Grade 7 Mathematics Students 375
Piera Biccard and Dirk C.J. Wessels
38 Students’ Reflections in Mathematical Modelling Projects 385
Morten Blomhøj and Tinne Hoff Kjeldsen
39 From Data to Functions: Connecting Modelling Competencies and Statistical Literacy 397
Joachim Engel and Sebastian Kuntze
40 First Results from a Study Investigating Swedish Upper Secondary Students’ Mathematical
Modelling Competencies 407
Peter Frejd and Jonas Bergman Ärlebäck
41 Why Cats Happen to Fall from the Sky or On Good and Bad Models 417
Hans-Wolfgang Henn
42 Assessing Modelling Competencies Usin a Multidimensional IRT-Approach 427
Luzia Zöttl, Stephan Ufer, and Kristina Reiss
Part VI Modelling in Tertiary Education
43 Modelling in Tertiary Education – Overview 441
Peter Galbraith
44 The Mathematical Expertise of Mechanical Engineers: Taking and Processing Measurements 445
Burkhard Alpers
45 Mathematical Modelling Skills and Creative Thinking Levels: An Experimental Study 457
Qi Dan and Jinxing Xie
46 Modelling the Evolution of the Belgian Population Using Matrices, Eigenvalues and Eigenvectors 467
Johan Deprez
47 Modelling and the Educational Challenge in Industrial Mathematics 479
Matti Heilio
48 Modelling of Infectious Disease with Biomathematics: Implications for Teaching and Research 489
Sergiy Klymchuk, Ajit Narayanan, Norbert Gruenwald, Gabriele Sauerbier, and Tatyana
Zverkova
49 Using Response Analysis Mapping to Display Modellers’ Mathematical Modelling Progress 499
Akio Matsuzaki
Part VII Modelling Examples and Modelling Projects: Concrete Cases
50 Modelling Examples and Modelling Projects – Overview 511
Hugh Burkhardt
51 Modelling Chemical Equilibrium in School Mathematics with Technology 519
Mette Andresen and Asbjoern Petersen
52 Real-World Modelling in Regular Lessons: A Long-Term Experiment 529
Martin Bracke and Andreas Geiger
53 Modelling Tasks at the Internet Portal “Program for Gifted” 551
Matthias Brandl
54 Modelling at Primary School Through a French-German Comparison of Curricula and Textbooks 559
Richard Cabassut and Anke Wagner
55 Modifying Teachers’ Practices: The Case of a European Training Course on Modelling and
Applications 569
Fco. Javier García and Luisa Ruiz-Higueras
56 Google’s PageRank - A Present: Day Application of Mathematics in Classroom 579
Hans Humenberger
57 Authentic Modelling Problems in Mathematics Education 591
Gabriele Kaiser, Björn Schwarz, and Nils Buchholtz
58 Using Modelling Experiences to Develop Japanese Senior High School Students’ Awareness of the
Interrelations Between Mathematics and Science 603
Tetsushi Kawasaki and Seiji Moriya
59 Stochastic Case Problems for the Secondary Classroom with Reliability Theory 617
Usha Kotelawala
60 LEMA – Professional Development of Teachers in Relation to Mathematical Modelling 629
Katja Maaß and Johannes Gurlitt
61 Modelling in the Classroom: Obstacles from the Teacher’s Perspective 641
Barbara Schmidt
62 Teachers’ Professional Learning: Modelling at the Boundaries 653
Geoff D. Wake
Part VIII Theoretical and Curricular Reflections on Mathematical Modelling
63 Theoretical and Curricular Reflections on Mathematical Modelling – Overview 665
Pauline Vos
64 Making Connections Between Modelling and Constructing Mathematics Knowledge: An Historical
Perspective 669
Toshikazu Ikeda and Max Stephens
65 Practical Knowledge of Research Mathematicians, Scientists and Engineers About the Teaching of
Modelling 679
Jeroen Spandaw
66 Evolution of Applications and Modelling in a Senior Secondary Curriculum 689
Gloria Stillman and Peter Galbraith
67 Sense of Reality Through Mathematical Modelling 701
Jhony Alexander Villa-Ochoa and Carlos Maria Jaramillo López
68 What Is ‘Authentic’ in the Teaching and Learning of Mathematical Modelling? 713
Pauline Vos
Corresponding Authors 723
Index 727
Berminat?
Email: zanetapm@gmail.com
0 comments:
Post a Comment