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E-grāmata: Modeling Students' Mathematical Modeling Competencies: ICTMA 13

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Modeling Students’ Mathematical Modeling Competencies offers welcome clarity and focus to the international research and professional community in mathematics, science, and engineering education, as well as those involved in the sciences of teaching and learning these subjects.
1 Introduction: ICTMA and the Teaching of Modeling and Applications
1(4)
Gabriele Kaiser
Part I The Nature of Models & Modeling
2 Introduction to Part I Modeling: What Is It? Why Do It?
5(8)
Richard Lesh
Thomas Fennewald
Section 1 What Are Models?
3 Modeling Theory for Math and Science Education
13(30)
David Hestenes
4 Modeling a Crucial Aspect of Students' Mathematical Modeling
43(18)
Mogens Niss
5 Modeling Perspectives in Math Education Research
61(14)
Christine Larson
Guershon Harel
Michael Oehrtman
Michelle Zandieh
Chris Rasmussen
Robert Speiser
Chuck Walter
Section 2 Where Are Models & Modelers Found?
6 Modeling to Address Techno-Mathematical Literacies in Work
75(12)
Richard Noss
Celia Hoyles
7 Mathematical Modeling in Engineering Design Projects
87(12)
Monica E. Cardella
8 The Mathematical Expertise of Mechanical Engineers - The Case of Mechanism Design
99(12)
Burkhard Alpers
Section 3 What Do Modeling Processes Look Like?
9 Modeling and Quantitative Reasoning: The Summer Jobs Problem
111(8)
Christine Larson
10 Tracing Students- Modeling Processes in School
119(14)
Nicholas Mousoulides
M. Pittalis
C. Christou
Bharath Sriraman
Section 4 What Creates "The Need For Modeling"
11 Turning Ideas into Modeling Problems
133(12)
Peter L. Galbraith
Gloria Stillman
Jill Brown
12 Remarks on a Modeling Cycle and Interpreting Behaviours
145(10)
Christopher R. Haines
Rosalind Crouch
13 Model Eliciting Environments as "Nurseries" for Modeling Probabilistic Situations
155(12)
Miriam Amit
Irma Jan
14 Models as Tools, Especially for Making Sense of Problems
167(6)
Bob Speiser
Chuck Walter
15 In-Depth Use of Modeling in Engineering Coursework to Enhance Problem Solving
173(16)
Renee M. Clark
Larry J. Shuman
Mary Besterfield-Sacre
16 Generative Activities: Making Sense of 1098 Functions
189(12)
Sarah M. Davis
Section 5 How Do Models Develop?
17 Modeling the Sensorial Perception in the Classroom
201(12)
Adolf J.I. Riede
18 Assessing a Modeling Process of a Linear Pattern Task
213(10)
Miriam Amit
Dorit Neria
19 Single Solution, Multiple Perspectives
223(14)
Angeles Dominguez
Section 6 How is Modeling Different than Solving?
20 Problem Solving Versus Modeling
237(8)
Judith Zawojewski
21 Investigating the Relationship Between the Problem and the Solver: Who Decides What Math Gets Used?
245(10)
Guadalupe Carmona
Steven Greenstein
22 Communication: The Essential Difference Between Mathematical Modeling and Problem Solving
255(10)
Tomas Højgaard
23 Analysis of Modeling Problem Solutions with Methods of Problem Solving
265(10)
Gilbert Greefrath
Part II Modeling in School Classrooms
24 Modeling in K-16 Mathematics Classrooms - and Beyond
275(12)
Richard Lesh
Randall Young
Thomas Fennewald
Section 7 How Can Students Recognize the Need for Modeling?
25 Modeling with Complex Data in the Primary School
287(14)
Lyn D. English
26 Two Cases Studies of Fifth Grade Students Reasoning About Levers
301(12)
Paula Guerra
Linda Hernandez
Ahyoung Kim
Muhsin Menekse
James Middleton
27 Don't Disrespect Me: Affect in an Urban Math Class
313(14)
Roberta Y. Schorr
Yakov M. Epstein
Lisa B. Warner
Cecilia C. Arias
Section 8 How Do Classroom Modeling Communities Develop?
28 Interdisciplinary Modeling Instruction: Helping Fifth Graders Learn About Levers
327(14)
Brandon Helding
Colleen Megowan-Romanowicz
Tirupalavanam Ganesh
Shirley Fang
29 Modeling Discourse in Secondary Science and Mathematics Classrooms
341(12)
M. Colleen Megowan-Romanowicz
30 A Middle Grade Teacher's Guide to Model Eliciting Activities
353(12)
Della R. Leavitt
Cynthia M. Ahn
31 The Students' Discussions in the Modeling Environment
365(8)
Joneia Cerqueira Barbosa
32 The Social Organization of a Middle School Mathematics Group Discussion
373(12)
William Zahner
Judit Moschkovich
33 Identifying Challenges within Transition Phases of Mathematical Modeling Activities at Year 9
385(14)
Gloria Stillman
Jill Brown
Peter Galbraith
34 Realistic Mathematical Modeling and Problem Posing
399(10)
Cinzia Bonotto
35 Modeling in Class and the Development of Beliefs about the Usefulness of Mathematics
409(14)
Katja Maass
Section 9 How Do Teachers Develop Models of Modeling?
36 Insights into Teachers' Unconscious Behaviour in Modeling Contexts
423(10)
Rita Borromeo Ferri
Werner Blum
37 Future Teachers' Professional Knowledge on Modeling
433(12)
Gabriele Kaiser
Bjorn Schwarz
Silke Tiedemann
38 Theory Meets Practice: Working Pragmatically Within Different Cultures and Traditions
445(14)
Javier Garcia
Katja Maass
Geoff Wake
39 Secondary Teachers Learn and Refine Their Knowledge During Modeling Activities in a Learning Community Environment
459(12)
Cesar Cristobal Escalante
40 An Investigation of Teachers' Shared Interpretations of Their Roles in Supporting and Enhancing Group Functioning
471(10)
Betsy Berry
41 Mathematical Modeling: Implications for Teaching
481(10)
Maria Salett Biembengut
Nelson Hein
42 A Professional Development Course with an Introduction of Models and Modeling in Science
491(10)
Genaro Zavala
Hugo Alarcon
Julio Benegas
43 Modeling as Isomorphism: The Case of Teacher Education
501(10)
Sergei Abramovich
44 Mathematical Modeling and the Teachers' Tensions
511(8)
Andreia Maria Pereira de Oliveira
Jonei Cerqueira Barbosa
45 A Case Study of Two Teachers: Teacher Questions and Student Explanations
519(12)
Lisa B. Warner
Roberta Y. Schorr
Cecilia C. Arias
Lina Sanchez
46 Pre-service Teachers' Perceptions of Model Eliciting Activities
531(10)
Kelli Thomas
Juliet Hart
Section 10 How Do New Technologies Influence Modeling in School?
47 Modeling Practices with The Geometer's Sketchpad
541(14)
Nathalie Sinclair
Nicholas Jackiw
48 A Principal Components Model of Simcalc Mathworlds
555(6)
Theodore Chao
Susan B. Empson
Nicole Shechtman
49 Modeling Random Binomial Rabbit Hops
561(10)
Sibel Kazak
50 Investigating Mathematical Search Behavior Using Network Analysis
571(12)
Thomas Hills
51 Mathematical Modeling and Virtual Environments
583(14)
Stephen R. Campbell
Section 11 What is The History of Modeling in Schools?
52 On the Use of Realistic Fermi Problems in Introducing Mathematical Modelling in Upper Secondary Mathematics
597(14)
Jonas Bergman Arleback
Christer Bergsten
53 The Dutch Maths Curriculum: 25 Years of Modelling
611(10)
Pauline Vos
References 621(28)
Index 649