{"id":201,"date":"2015-02-27T18:24:59","date_gmt":"2015-02-27T18:24:59","guid":{"rendered":"http:\/\/sites.uepb.edu.br\/gprpem\/?p=201"},"modified":"2015-02-27T18:24:59","modified_gmt":"2015-02-27T18:24:59","slug":"teaching-mathematical-modelling-connecting-to-research-and-practice","status":"publish","type":"post","link":"https:\/\/grupos.uepb.edu.br\/gprpem\/2015\/02\/27\/teaching-mathematical-modelling-connecting-to-research-and-practice\/","title":{"rendered":"Teaching Mathematical Modelling: Connecting to Research and Practice"},"content":{"rendered":"

\"teaching-mathematical\"<\/a>(International Perspectives on the Teaching and Learning of Mathematical Modelling)<\/p>\n

Gloria Ann Stillman, Gabriele Kaiser, Werner Blum e Jill P. Brown<\/p>\n

Springer | 2013 | 612 p\u00e1ginas | pdf\u00a0 | 9 Mb<\/p>\n

link<\/a><\/p>\n

This book provides readers with an overview of recent international research and developments in the teaching and learning of modelling and applications from a variety of theoretical and practical perspectives. There is a strong focus on pedagogical issues for teaching and learning of modelling as well as research into teaching and practice. The teaching of applications of mathematics and mathematical modelling from the early years through primary and secondary school and at tertiary level is rising in prominence in many parts of the world commensurate with an ever-increasing usage of mathematics in business, the environment, industry and everyday life. The authors are all members of the International Community of Teachers of Mathematical Modelling and Applications and important researchers in mathematics education and mathematics. The book will be of interest to teachers, practitioners and researchers in universities, polytechnics, teacher education, curriculum and policy<\/p>\n

Contents
\n1 Mathematical Modelling: Connecting to Teaching and Research Practices \u2013 The Impact of Globalisation…. 1
\nGloria Ann Stillman, Gabriele Kaiser, Werner Blum, and Jill P. Brown
\nPart I Innovative Practices in Modelling Education Research and Teaching
\n2 From Conference to Community: An ICTMA Journey\u2014The Ken Houston Inaugural Lecture …. 27
\nPeter Galbraith
\n3 Modelling from the Perspective of Commognition \u2013 An Emerging Framework….. 47
\nJonas Bergman \u00c4rleb\u00e4ck and Peter Frejd
\n4 Should Interpretation Systems Be Considered to Be Models if They Only Function Implicitly?…. 57
\nRita Borromeo Ferri and Richard Lesh
\n5 Mathematical Modelling, Mathematical Content and Tensions in Discourses …… 67
\nAndr\u00e9ia Maria Pereira de Oliveira and Jonei Cerqueira Barbosa
\n6 Ethnomodelling as a Methodology for Ethnomathematics …… 77
\nMilton Rosa and Daniel Clark Orey
\n7 Dual Modelling Cycle Framework for Responding to the Diversities of Modellers….. 89
\nAkihiko Saeki and Akio Matsuzaki
\n8 The Eyes to See: Theoretical Lenses for Mathematical Modelling Research…… 101
\nNils Buchholtz
\n9 Str\u00e4sser\u2019s Didactic Tetrahedron as a Basis for Theorising Mathematical Modelling Activity Within Social Contexts…. 107
\nVince Geiger
\n10 Ethnomodelling as a Research Lens on Ethnomathematics and Modelling ….. 117
\nMilton Rosa and Daniel Clark Orey
\nPart II Research into, or Evaluation of, Teaching Practice
\n11 Real-Life Modelling Within a Traditional Curriculum: Lessons from a Singapore Experience …. 131
\nAng Keng Cheng
\n12 Students\u2019 Mathematical Learning in Modelling Activities ….. 141
\nMorten Blomh\u00f8j and Tinne Hoff Kjeldsen
\n13 Students\u2019 Designing an Ideal Tourism Route as Mathematical Modelling …. 153
\nChan Chun Ming Eric
\n14 Comparison of Mathematical Modelling Skills of Secondary and Tertiary Students …. 165
\nJuntao Fu and Jinxing Xie
\n15 Taking Advantage of Incidental School Events to Engage with the Applications of Mathematics: The Case of Surviving the Reconstruction…….. 175
\nVince Geiger, Merrilyn Goos, and Shelley Dole
\n16 The Development of Modelling Competencies by Year 9 Students: Effects of a Modelling Project….. 185
\nSusanne Gr\u00fcnewald
\n17 Evidence of a Dual Modelling Cycle: Through a Teaching Practice Example for Pre service Teachers….. 195
\nAkio Matsuzaki and Akihiko Saeki
\n18 Considering Multiple Solutions for Modelling Problems \u2013 Design and First Results from the MultiMa-Project…. 207
\nStanislaw Schukajlow and Andr\u00e9 Krug
\n19 Challenges in Modelling Challenges: Intents and Purposes … 217
\nGloria Ann Stillman, Jill P. Brown, and Peter Galbraith
\n20 Mathematical Modelling of a Real-World Problem: The Decreasing Number of Bluefi n Tuna … 229
\nAkira Yanagimoto and Noboru Yoshimura
\n21 Mathematical Modelling of a Social Problem: Pension Tax Issues …. 241
\nNoboru Yoshimura and Akira Yanagimoto
\nPart III Pedagogical Issues for Teaching and Learning
\n22 Pedagogical Refl ections on the Role of Modelling in Mathematics Instruction ….. 255
\nToshikazu Ikeda
\n23 Complex Modelling Problems in Co-operative, Self-Directed Learning Environments ….. 277
\nGabriele Kaiser and Peter Stender
\n24 Inducting Year 6 Students into \u201cA Culture of Mathematising as a Practice\u201d ….. 295
\nJill P. Brown
\n25 A Whole Week of Modelling \u2013 Examples and Experiences of Modelling for Students in Mathematics Education…. 307
\nNils Buchholtz and Sarah Mesrogli
\n26 Teachers\u2019 Self-Perceptions of Their Pedagogical Content Knowledge Related to Modelling \u2013 An Empirical Study with Austrian Teachers …… 317
\nSebastian Kuntze, Hans-Stefan Siller, and Christiane Vogl
\n27 A Cross-Sectional Study About Modelling Competency in Secondary School …. 327
\nMatthias Ludwig and Xenia-Rosemarie Reit
\n28 Teacher Readiness in Mathematical Modelling: Are There Differences Between Pre-service and In-Service Teachers?… 339
\nKit Ee Dawn Ng
\n29 Exploring the Relationship Between Mathematical Modelling and Classroom Discourse …. 349
\nTrevor Redmond, Raymond Brown, and Joanne Sheehy
\n30 The Role of Textbooks in Developing a Socio- critical Perspective on Mathematical Modelling in Secondary Classrooms … 361
\nGloria Ann Stillman, Jill P. Brown, Rhonda Faragher, Vince Geiger, and Peter Galbraith
\n31 Pre-service Secondary School Teachers\u2019 Knowledge in Mathematical Modelling \u2013 A Case Study …. 373
\nTan Liang Soon and Ang Keng Cheng
\n32 How Students Connect Descriptions of Real- World Situations to Mathematical Models in Different Representational Modes .. 385
\nWim Van Dooren, Dirk De Bock, and Lieven Verschaffel
\n33 Pre-service Teacher Learning for Mathematical Modelling ….. 395
\nMark Winter and Hamsa Venka
\n34 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Conceptions of Mathematical Modelling ……. 405
\nChan Chun Ming Eric
\n35 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: Problem Posing and Task Design …. 415
\nLee Ngan Hoe
\n36 Initial Perspectives of Teacher Professional Development on Mathematical Modelling in Singapore: A Framework for Facilitation……. 427
\nKit Ee Dawn Ng
\n37 Teacher Professional Development on Mathematical Modelling: Initial Perspectives from Singapore …. 437
\nVince Geiger
\nPart IV Influences of Technologies
\n38 Reality Based Test Tasks with Digital Tools at Lower Secondary ……. 445
\nGilbert Greefrath and Michael Rie\u00df
\n39 On Comparing Mathematical Models and Pedagogical Learning ……. 457
\nJaneen Lamb and Jana Visnovska
\nPart V Assessment in Schools
\n40 Formative Assessment in Everyday Teaching of Mathematical Modelling: Implementation of Written and Oral Feedback to Competency- Oriented Tasks…… 469
\nMichael Besser, Werner Blum, and Malte Klimczak
\n41 Assessment of Modelling in Mathematics Examination Papers: Ready-Made Models and Reproductive Mathematising ……. 479
\nPauline Vos
\nPart VI Applicability at Different Levels of Schooling, Vocational Education, and in Tertiary Education
\n42 Complex Modelling in the Primary and Middle School Years: An Interdisciplinary Approach ….. 491
\nLyn D. English
\n43 Modelling in Brazilian Mathematics Teacher Education Courses …… 507
\nMaria Salett Biembengut
\n44 The Development of Mathematical Concept Knowledge and of the Ability to Use This Concept to Create a Model … 517
\nC\u00e9sar Crist\u00f3bal-Escalante and Ver\u00f3nica Vargas-Alejo
\n45 Problem Posing: A Possible Pathway to Mathematical Modelling ….. 527
\nAnn Downton
\n46 A Study of the Effectiveness of Mathematical Modelling of Home Delivery Packaging on Year 12 Students\u2019 Function Education .. 537
\nTetsushi Kawasaki and Yoshiki Nisawa
\n47 How to Introduce Mathematical Modelling in Industrial Design Education? …… 551
\nGeert Langereis, Jun Hu, and Loe Feijs
\n48 Rationality of Practice and Mathematical Modelling \u2013 On Connections, Conflicts, and Codifications ……. 563
\nLars Mouwitz
\n49 Extending Model Eliciting Activities (MEAs) Beyond Mathematics Curricula in Universities …. 573
\nMark Schofield
\n50 Building Awareness of Mathematical Modelling in Teacher Education: A Case Study in Indonesia …… 583
\nWanty Widjaja
\nPart VII Modelling and Applications in Business and the Lived Environment
\n51 Mathematics and the Pharmacokinetics of Alcohol …… 597
\nMichael Jennings and Peter Adams
\n52 Beyond the Modelling Process: An Example to Study the Logistic Model of Customer Lifetime Value in Business Marketing …… 607
\nIssic K.C. Leung.<\/p>\n","protected":false},"excerpt":{"rendered":"

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