Mathematical Modelling in Education Research and Practice

Measurement Sense: An Intervention Study with Pre-service Mathematics Teachers, Maike Hagena
Chapter 15 How do Students Share and Refine Models through Dual Modelling Teaching: The Case of Students who do not Solve Independently, Takashi Kawakami, Akihiko Saeki and Akio Matsuzaki
Chapter 16 Exploring Interconnections between Real-World and Application Tasks: Case Study from Singapore, Dawn Ng and Gloria Ann Stillman
Chapter 17 Mathematical Modelling Tasks and the Mathematical Thinking of Students, Bárbara Nilvada Palharini, Alvim Sousa Robim and Lourdes Maria Werle de Almeida
Chapter 18 Measurement of Area and Volume in an Authentic Context: An Alternative Learning Experience through Mathematical Modelling, Santiago Manuel Rivera Quiroz , Sandra Milena Londoño Orrego and Carlos Mario Jaramillo López
Chapter 19 Mathematical Modelling and Culture - An Empirical Study, Jhony Alexander Villa-Ocha and Mario J. Berrío
Chapter 20 Mathematical Modelling of a Social Problem in Japan: The Income and Expenditure of an Electric Power Company, Noboru Yoshimura

Part III Pedagogical Issues for Teaching and Learning
Chapter 21 The Place of Mathematical Modelling in the System of Mathematics Education: Perspective and Prospect , Henry O.Pollak
Chapter 22 Moving within a Mathematical Modelling Map, Rita Borromeo Ferri
Chapter 23 Negotiating the Use of Mathematics in a Mathematical Modelling Project, Jussara de Loiola Araújo and Ilaine da Silva Campos
Chapter 24 Moving Beyond a Single Modelling Activity, Jonas B Ärlebäck and Helen M. Doerr
Chapter 25 The Possibility of Interdisciplinary Integration through Mathematical Modelling of Optical Phenomena, Jennifer Barboza, Luana Bassani, Luciano Lewandoski, and Lucilaine Abitante
Chapter 26 Activation of Student Prior Knowledge to Build Linear Models in the Context of Modelling Pre-paid Electricity Consumption, José Luis Bossio Vélez, Sandra Milena Londoño Orrego, and Carlos Mario Jaramillo López
Chapter 27 Mathematical Modellers' Opinions on Mathematical Modelling in Upper Secondary Education, Peter Frejd
Chapter 28 Modelling, Education, and the Epistemic Fallacy, Peter Galbraith
Chapter 29 Reconsidering the Roles and Characteristics of Models in Mathematics Education, Toshikazu Ikeda and Max Stephens
Chapter 30 Developing Statistical Numeracy: The Model Must Make Sense, Janeen Lamb and Jana Visnovska
Chapter 31 Mathematical Modelling and Cognitive Load Theory: Approved or Disapproved? Jacob Perrenet and Bert Zwaneveld
Chapter 32 Social-Critical Dimension of Mathematical Modelling, Milton Rosa and Daniel Clark Orey
Chapter 33 Pedagogical Practices of Reflective Mathematical Modelling, Morgana Scheller, Paula Andrea Grawieski Civiero, and Fátima Peres Zago de Oliveira
Chapter 34 Context Categories in Mathematical Modelling in Fundamentals of Calculus Teaching, Mara Kessler Ustra and Sandro Rogério Vargas Ustra
Chapter 35 Applied Mathematical Problem Solving - Principles for Designing Small Realistic Problems, Dag Wedelin and Tom Adawi

Part IV Influences of Technologies
Chapter 36 Visualisation Tactics for Solving Real World Tasks, Jill Brown
Chapter 37 Developing Modelling Competencies through the Use of Technology, Ruth Rodríguez Gallegos and Samantha Quiroz Rivera
Chapter 38 Model Analysis with Digital Technology - a "Hybrid Approach", Débora da Silva Soares
Chapter 39 Collective Production with Mathematical Modelling in Digital Culture, Arlindo José de Souza Júnior, João Frederico da Costa Azevedo Meyer, Deive Barbosa Alves, Fernando da Costa Barbosa, Mário Lucio Alexandre, Douglas Carvalho de Menezes and Douglas Marin

Part V Assessment in Schools and Universities
Chapter 40 Learners' Dealing with a Financial Applications-like Problem in a High-stakes School-leaving Mathematics Examination, Cyril Julie
Chapter 41 Evidence of Reformulation of Situation Models: Modelling Tests before and after a Modelling Class for Lower Secondary School Students, Akio Matsuzaki and Masafumi Kaneko

Part VI Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education
Chapter 42 Mathematical Modelling in the Teaching of Statistics in Undergraduate Courses, Celso Ribeiro Campos, Denise Helena Lombardo Ferreira, Otávio Roberto Jacobini and Maria Lúcia Lorenzetti Wodewotzki
Chapter 43 Models and Modelling in an Integrated Physics and Mathematics Course, Angeles Domínguez, Jorge de la Garza, and Genaro Zavala
Chapter 44 Research-based Modelling Teaching Activities: A case of Mathematical Positioning with GNSS, Xiaojun Duan , Dan Wang, and Mengda Wu
Chapter 45 Mathematical Texts in a Mathematical Modelling Learning Environment in Primary School, Ana Virginia de Almeida Luna, Elizabeth Goumes Souza and Larissa Borges de Souza Lima
Chapter 46 A Differential Equations Course for Engineers through Modelling and Technology, Ruth Rodríguez Gallegos
Chapter 47 Contributions of Mathematical Modelling in Education of Youth and Adults, Jonson Ney Dias da Silva, Taise Sousa Santana and Carlos Henrique Carneiro
Chapter 48 Pre-service Mathematics Teachers' Experiences in Modelling Projects from a Socio-critical Modelling Perspective, Mónica E. Villarreal, Cristina B. Esteley and Silvina Smith
Chapter 49 A Mathematical Modelling Challenge Program for J.H.S. Students in Japan, Akira Yanagimoto, Tetsushi Kawasaki and Noboru Yoshimura

Part VII Modelling and Applications in the Lived Environment
Chapter 50 Modelling the Wall: The Mathematics of the Curves on the Wall of Colégio Arquidiocesano in Ouro Preto, Daniel Orey and Milton Rosa
- List of Corresponding Authors
- Refereeing Process
- Index