Modeling Students' Mathematical Modeling Competencies

ICTMA 13

Inbunden, Engelska, 2009

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Beskrivning

Blending theoretical constructs and practical considerations, this book explores the vital trend toward using real-world problems as a basis for teaching mathematics skills, competencies, and applications. It presents papers from the 2009 ICTMA conference.

Produktinformation

Utgivningsdatum:2009-12-22
Mått:160 x 240 x 46 mm
Vikt:1 116 g
Format:Inbunden
Språk:Engelska
Antal sidor:650
Upplaga:2010
Förlag:Springer-Verlag New York Inc.
ISBN:9781441905604

Utforska kategorier

Innehållsförteckning

The Nature of Models & Modeling.- Introduction: ICTMA and the Teaching of Modeling and Applications.- to Part I Modeling: What Is It? Why Do It?.- What Are Models?.- Modeling Theory for Math and Science Education.- Modeling a Crucial Aspect of Students’ Mathematical Modeling.- Modeling Perspectives in Math Education Research.- Where Are Models & Modelers Found?.- Modeling to Address Techno-Mathematical Literacies in Work.- Mathematical Modeling in Engineering Design Projects.- The Mathematical Expertise of Mechanical Engineers – The Case of Mechanism Design.- What Do Modeling Processes Look Like?.- Modeling and Quantitative Reasoning: The Summer Jobs Problem.- Tracing Students’ Modeling Processes in School.- What Creates The Need For Modeling.- Turning Ideas into Modeling Problems.- Remarks on a Modeling Cycle and Interpreting Behaviours.- Model Eliciting Environments as “Nurseries” for Modeling Probabilistic Situations.- Models as Tools, Especially for Making Sense of Problems.- In-Depth Use of Modeling in Engineering Coursework to Enhance Problem Solving.- Generative Activities: Making Sense of 1098 Functions.- How Do Models Develop?.- Modeling the Sensorial Perception in the Classroom.- Assessing a Modeling Process of a Linear Pattern Task.- Single Solution, Multiple Perspectives.- How is Modeling Different than Solving?.- Problem Solving Versus Modeling.- Investigating the Relationship Between the Problem and the Solver: Who Decides What Math Gets Used?.- Communication: The Essential Difference Between Mathematical Modeling and Problem Solving.- Analysis of Modeling Problem Solutions with Methods of Problem Solving.- Modeling in School Classrooms.- Modeling in K-16 Mathematics Classrooms – and Beyond.- How Can Students Recognize the Need for Modeling?.-Modeling with Complex Data in the Primary School.- Two Cases Studies of Fifth Grade Students Reasoning About Levers.- Don’t Disrespect Me: Affect in an Urban Math Class.- How Do Classroom Modling Communities Develop?.- Interdisciplinary Modeling Instruction: Helping Fifth Graders Learn About Levers.- Modeling Discourse in Secondary Science and Mathematics Classrooms.- A Middle Grade Teacher’s Guide to Model Eliciting Activities.- The Students’ Discussions in the Modeling Environment.- The Social Organization of a Middle School Mathematics Group Discussion.- Identifying Challenges within Transition Phases of Mathematical Modeling Activities at Year 9.- Realistic Mathematical Modeling and Problem Posing.- Modeling in Class and the Development of Beliefs about the Usefulness of Mathematics.- How Do Teachers Develop Models of Modeling?.- Insights into Teachers’ Unconscious Behaviour in Modeling Contexts.- Future Teachers’ Professional Knowledge on Modeling.- Theory Meets Practice: Working Pragmatically Within Different Cultures and Traditions.- Secondary Teachers Learn and Refine Their Knowledge During Modeling Activities in a Learning Community Environment.- An Investigation of Teachers’ Shared Interpretations of Their Roles in Supporting and Enhancing Group Functioning.- Mathematical Modeling: Implications for Teaching.- A Professional Development Course with an Introduction of Models and Modeling in Science.- Modeling as Isomorphism: The Case of Teacher Education.- Mathematical Modeling and the Teachers’ Tensions.- A Case Study of Two Teachers: Teacher Questions and Student Explanations.- Pre-service Teachers’ Perceptions of Model Eliciting Activities.- How Do New Technologies Influence Modeling In School?.- Modeling Practices with The Geometer’sSketchpad.- A Principal Components Model of Simcalc Mathworlds.- Modeling Random Binomial Rabbit Hops.- Investigating Mathematical Search Behavior Using Network Analysis.- Mathematical Modeling and Virtual Environments.- What is The History of Modeling in Schools?.- On the Use of Realistic Fermi Problems in Introducing Mathematical Modelling in Upper Secondary Mathematics.- The Dutch Maths Curriculum: 25 Years of Modelling.