| Description |
1 online resource |
| Series |
International perspectives on the teaching and learning of mathematical modelling, 2211-4920 |
|
International perspectives on the teaching and learning of mathematical modelling.
|
| Contents |
The Nature of Models & Modeling. Introduction to Part I Modeling: What Is It? Why Do It? / Richard Lesh, Thomas Fennewald -- What Are Models? Modeling Theory for Math and Science Education / David Hestenes -- Modeling a Crucial Aspect of Students' Mathematical Modeling / Mogens Niss -- Modeling Perspectives in Math Education Research / Christine Larson [and others] -- Where Are Models & Modelers Found? Modeling to Address Techno-Mathematical Literacies in Work / Richard Noss, Celia Hoyles -- Mathematical Modeling in Engineering Design Projects / Monica E. Cardella -- The Mathematical Expertise of Mechanical Engineers -- The Case of Mechanism Design / Burkhard Alpers -- What Do Modeling Processes Look Like? Modeling and Quantitative Reasoning: The Summer Jobs Problem / Christine Larson -- Tracing Students' Modeling Processes in School / Nicholas Mousoulides [and others] -- What Creates "The Need For Modeling"-- Turning Ideas into Modeling Problems / Peter L. Galbraith, Gloria Stillman, Jill Brown -- Remarks on a Modeling Cycle and Interpreting Behaviours / Christopher R. Haines, Rosalind Crouch |
|
Model Eliciting Environments as "Nurseries" for Modeling Probabilistic Situations / Miriam Amit, Irma Jan -- Models as Tools, Especially for Making Sense of Problems / Bob Speiser, Chuck Walter -- In-Depth Use of Modeling in Engineering Coursework to Enhance Problem Solving / Renee M. Clark, Larry J. Shuman, Mary Besterfield-Sacre -- Generative Activities: Making Sense of 1098 Functions / Sarah M. Davis -- How Do Models Develop? Modeling the Sensorial Perception in the Classroom / Adolf J.I. Riede -- Assessing a Modeling Process of a Linear Pattern Task / Miriam Amit, Dorit Neria -- Single Solution, Multiple Perspectives / Angeles Dominguez -- How is Modeling Different than Solving? Problem Solving Versus Modeling / Judith Zawojewski -- Investigating the Relationship Between the Problem and the Solver: Who Decides What Math Gets Used? / Guadalupe Carmona, Steven Greenstein -- Communication: The Essential Difference Between Mathematical Modeling and Problem Solving / Tomas Højgaard -- Analysis of Modeling Problem Solutions with Methods of Problem Solving / Gilbert Greefrath |
|
Modeling in School Classrooms. Modeling in K-16 Mathematics Classrooms -- and Beyond / Richard Lesh, Randall Young, Thomas Fennewald -- How Can Students Recognize the Need for Modeling? Modeling with Complex Data in the Primary School / Lyn D. English -- Two Cases Studies of Fifth Grade Students Reasoning About Levers / Paula Guerra [and others] -- Don't Disrespect Me: Affect in an Urban Math Class / Roberta Y. Schorr [and others] -- How Do Classroom Modeling Communities Develop? Interdisciplinary Modeling Instruction: Helping Fifth Graders Learn About Levers / Brandon Helding [and others] -- Modeling Discourse in Secondary Science and Mathematics Classrooms / M. Colleen Megowan-Romanowicz -- A Middle Grade Teacher's Guide to Model Eliciting Activities / Della R. Leavitt, Cynthia M. Ahn -- The Students' Discussions in the Modeling Environment / Joneia Cerqueira Barbosa -- The Social Organization of a Middle School Mathematics Group Discussion / William Zahner, Judit Moschkovich -- Identifying Challenges within Transition Phases of Mathematical Modeling Activities at Year 9 / Gloria Stillman, Jill Brown, Peter Galbraith |
|
Realistic Mathematical Modeling and Problem Posing / Cinzia Bonotto -- Modeling in Class and the Development of Beliefs about the Usefulness of Mathematics / Katja Maass -- How Do Teachers Develop Models of Modeling? Insights into Teachers' Unconscious Behaviour in Modeling Contexts / Rita Borromeo Ferri, Werner Blum -- Future Teachers' Professional Knowledge on Modeling / Gabriele Kaiser, Björn Schwarz, Silke Tiedemann -- Theory Meets Practice: Working Pragmatically Within Different Cultures and Traditions / Fco. Javier García, Katja Maass, Geoff Wake -- Secondary Teachers Learn and Refine Their Knowledge During Modeling Activities in a Learning Community Environment / César Cristóbal Escalante -- An Investigation of Teachers' Shared Interpretations of Their Roles in Supporting and Enhancing Group Functioning / Betsy Berry -- Mathematical Modeling: Implications for Teaching / Maria Salett Biembengut, Nelson Hein -- A Professional Development Course with an Introduction of Models and Modeling in Science / Genaro Zavala, Hugo Alarcon, Julio Benegas -- Modeling as Isomorphism: The Case of Teacher Education / Sergei Abramovich |
|
Mathematical Modeling and the Teachers' Tensions / Andréia Maria Pereira de Oliveira, Jonei Cerqueira Barbosa -- A Case Study of Two Teachers: Teacher Questions and Student Explanations / Lisa B. Warner [and others] -- Pre-service Teachers' Perceptions of Model Eliciting Activities / Kelli Thomas, Juliet Hart -- How Do New Technologies Influence Modeling in School? Modeling Practices with The Geometer's Sketchpad / Nathalie Sinclair, Nicholas Jackiw -- A Principal Components Model of Simcalc Mathworlds / Theodore Chao, Susan B. Empson, Nicole Shechtman -- Modeling Random Binomial Rabbit Hops / Sibel Kazak -- Investigating Mathematical Search Behavior Using Network Analysis / Thomas Hills -- Mathematical Modeling and Virtual Environments / Stephen R. Campbell -- What is The History of Modeling in Schools? On the Use of Realistic Fermi Problems in Introducing Mathematical Modelling in Upper Secondary Mathematics / Jonas Bergman Ärlebäck, Christer Bergsten -- The Dutch Maths Curriculum: 25 Years of Modelling / Pauline Vos |
| Summary |
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 real-world 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 teach--and how both can become better learners. Dispatches as varied as classroom case studies, analyses of math in engineering work, and an in-depth review of modeling-based 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 mathematicsCreating the modeling-oriented classroomAssessing and evaluating students' modeling capabilitiesThe relationship between modeling and problem-solvingInstructor methods for developing their own models of modelingNew technologies for modeling in the classroomModeling 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 |
| Analysis |
Education |
|
Mathematics Education |
|
Mathematical Modeling and Industrial Mathematics |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
| Subject |
Mathematical ability -- Testing.
|
|
Mathematical models -- Study and teaching (Higher)
|
|
Mathematics -- Study and teaching (Higher)
|
|
MATHEMATICS -- Study & Teaching.
|
|
Droit.
|
|
Sciences sociales.
|
|
Sciences humaines.
|
|
Mathematical ability -- Testing
|
|
Mathematics -- Study and teaching (Higher)
|
| Form |
Electronic book
|
| Author |
Lesh, Richard A.
|
| ISBN |
9789400762718 |
|
9400762712 |
|
