Modeling Students' Mathematical Modeling Competencies ICTMA 13
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 ISBN: 9781441905611

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electronic
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XIV, 650 p. online resource.  Publisher: Boston, MA : Springer US : 2010.
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Formatted Contents Note:  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 TechnoMathematical 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  InDepth 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 K16 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  Preservice Teachers’ Perceptions of Model Eliciting Activities  How Do New Technologies Influence Modeling In School?  Modeling Practices with The Geometer’s Sketchpad  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. 
Summary, etc.:  As we enter the 21st century, there is an urgent need for new approaches to mathematics education emphasizing its relevance in young learners’ futures. Modeling Students’ Mathematical Modeling Competencies explores the vital trend toward using realworld problems as a basis for teaching mathematics skills, competencies, and applications. Blending theoretical constructs and practical considerations, the book presents papers from the latest conference of the ICTMA, beginning with the basics (Why are models necessary? Where can we find them?) and moving through intricate concepts of how students perceive math, how instructors teachand how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an indepth review of modelingbased curricula in the Netherlands illustrate modeling activities on the job, methods of overcoming math resistance, and the movement toward replicable models and lifelong engagement. A sampling of topics covered: How students recognize the usefulness of mathematics Creating the modelingoriented classroom Assessing and evaluating students’ modeling capabilities The relationship between modeling and problemsolving Instructor methods for developing their own models of modeling New technologies for modeling in the classroom 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. 
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Subject:  Education Mathematics Mathematics Study and teaching Science education Education Mathematics Education Mathematics, general Science Education 