Modeling in Engineering: The Role of Representational Fluency in Students' Conceptual Understanding

Modeling abilities play an important role in engineering. The creation and use of representations is a central aspect of modeling, and students who are learning to model often use a variety of representations to express, test, revise, and communicate their own thinking. Consequently, model development often depends on representational fluency and the ability to translate between and within different representational forms.

[1]  Jean Piaget,et al.  Part I: Cognitive development in children: Piaget development and learning , 1964 .

[2]  Richard Lesh,et al.  ORDER AND EQUIVALENCE OF RATIONAL NUMBERS: A CLINICAL TEACHING EXPERIMENT , 1984 .

[3]  E. Guba,et al.  Naturalistic inquiry: Beverly Hills, CA: Sage Publications, 1985, 416 pp., $25.00 (Cloth) , 1985 .

[4]  L. Shulman Those Who Understand: Knowledge Growth in Teaching , 1986 .

[5]  R. Felder,et al.  Learning and Teaching Styles in Engineering Education. , 1988 .

[6]  Neil A. M. Maiden,et al.  Analysing the Novice Analyst: Cognitive Models in Software Engineering , 1992, Int. J. Man Mach. Stud..

[7]  Barbara M. Olds,et al.  A Model Curriculum for a Capstone Course in Multidisciplinary Engineering Design , 1994 .

[8]  Ann L. Brown,et al.  Training in Self-Explanation and Self-Regulation Strategies: Investigating the Effects of Knowledge Acquisition Activities on Problem Solving , 1995 .

[9]  Graeme S. Halford,et al.  Mathematics Education: Models and Processes , 1995 .

[10]  Vairam Arunachalam,et al.  Cognitive processes in program comprehension: An empirical analysis in the Context of software reengineering , 1996, J. Syst. Softw..

[11]  Nicholas P. Vitalari,et al.  Differences Between Novice and Expert Systems Analysts: What Do We Know and What Do We Do? , 1998, J. Manag. Inf. Syst..

[12]  David P. Hale,et al.  An evaluation of the cognitive processes of programmers engaged in software debugging , 1999 .

[13]  David P. Hale,et al.  An evaluation of the cognitive processes of programmers engaged in software debugging , 1999, J. Softw. Maintenance Res. Pract..

[14]  Ann L. Brown,et al.  How people learn: Brain, mind, experience, and school. , 1999 .

[15]  유창조 Naturalistic Inquiry , 2022, The SAGE Encyclopedia of Research Design.

[16]  Richard M. Felder,et al.  The Future of Engineering Education: Part 2. Teaching Methods That Work. , 2000 .

[17]  Richard M. Felder,et al.  THE FUTURE OF ENGINEERING EDUCATION II. TEACHING METHODS THAT WORK , 2000 .

[18]  Leslie P. Steffe,et al.  Teaching experiment methodology: Underlying principles and essential elements , 2000 .

[19]  Richard Lesh,et al.  Origins and Evolution of Model-Based Reasoning in Mathematics and Science , 2003 .

[20]  Richard Lesh,et al.  Problem Solving, Modeling, and Local Conceptual Development , 2003 .

[21]  Richard Lesh,et al.  A Models and Modeling Perspective on Problem Solving , 2003 .

[22]  Richard Lesh,et al.  Foundations of a Models and Modeling Perspective on Mathematics Teaching, Learning, and Problem Solving , 2003 .

[23]  Offer Shai,et al.  Transforming engineering problems through graph representations , 2003, Adv. Eng. Informatics.

[24]  Helen M. Doerr,et al.  A modeling perspective on student's mathematical reasoning about data , 2003 .

[25]  Richard Lesh,et al.  Using a Translation Model for Curriculum Development and Classroom Instruction , 2003 .

[26]  H. Zhang,et al.  Human thermal sensation and comfort in transient and non-uniform thermal environments , 2003 .

[27]  Steve Parkes,et al.  Trends in the use of verbal protocol analysis in software engineering research , 2003, Behav. Inf. Technol..

[28]  Colin Sharp Qualitative Research and Evaluation Methods (3rd ed.) , 2003 .

[29]  Richard Lesh,et al.  Beyond Constructivism: Models and Modeling Perspectives on Mathematics Problem Solving, Learning, and Teaching , 2003 .

[30]  Richard Lesh,et al.  Evolving Communities of Mind-In Which Development Involves Several Interacting and Simultaneously Developing Strands , 2004 .

[31]  P.K. Imbrie,et al.  A framework for posing open-ended engineering problems: model-eliciting activities , 2004, 34th Annual Frontiers in Education, 2004. FIE 2004..

[32]  David W. Johnson,et al.  Pedagogies of Engagement: Classroom‐Based Practices , 2005 .

[33]  Scott A. Chamberlin,et al.  Model-Eliciting Activities as a Tool to Develop and Identify Creatively Gifted Mathematicians , 2005 .

[34]  L. Giddings Research Design: Qualitative, Quantitative, and Mixed Methods Approaches, 2d ed , 2005 .

[35]  Barbara M. Moskal,et al.  Assessment in Engineering Education: Evolution, Approaches and Future Collaborations , 2005 .

[36]  Jonathan Cagan,et al.  The Role of Functionality in the Mental Representations of Engineering Students: Some Differences in the Early Stages of Expertise , 2006, Cogn. Sci..

[37]  B. Rittle-Johnson,et al.  Promoting transfer: effects of self-explanation and direct instruction. , 2006, Child development.

[38]  The Research Agenda for the New Discipline of Engineering Education , 2006 .

[39]  Richard Lesh,et al.  Foundations for the Future in Mathematics Education , 2007 .

[40]  Richard Lesh,et al.  Introduction to the Special Issue: Modeling as Application versus Modeling as a Way to Create Mathematics , 2007, Int. J. Comput. Math. Learn..

[41]  G. Goldin,et al.  Perspectives on representation in mathematical learning and problem solving , 2008 .

[42]  Thomas A. Litzinger,et al.  Learning Conceptual Knowledge in the Engineering Sciences: Overview and Future Research Directions , 2008 .

[43]  Ian T. Cameron,et al.  Development and deployment of a library of industrially focused advanced immersive VR learning environments , 2008 .

[44]  Juliet M. Corbin,et al.  Basics of Qualitative Research (3rd ed.): Techniques and Procedures for Developing Grounded Theory , 2008 .

[45]  Richard Lesh,et al.  Model-Eliciting Activities (MEAs) as a Bridge Between Engineering Education Research and Mathematics Education Research , 2008 .

[46]  Judith S. Zawojewski,et al.  Models and Modeling in Engineering Education: Designing Experiences for All Students , 2008 .

[47]  Richard Lesh,et al.  A Modeling Perspective on Learning and Teaching in Engineering Education , 2008 .

[48]  Kathleen A. Cramer,et al.  Efficacy of Different Concrete Models for Teaching the Part-Whole Construct for Fractions , 2009 .

[49]  Margot A. Vigeant,et al.  A preliminary study on the effectiveness of inquiry-based activities for addressing misconceptions of undergraduate engineering students , 2009 .

[50]  Tamara J. Moore,et al.  Developing Measures of Roughness: Problem Solving as a Method to Document Student Thinking in Engineering* , 2010 .

[51]  Tuba Pinar Yildirim,et al.  Model-eliciting activities: assessing engineering student problem solving and skill integration processes , 2010 .

[52]  Richard Lesh,et al.  Tools, Researchable Issues & Conjectures for Investigating What it Means to Understand Statistics (or Other Topics) Meaningfully , 2010 .

[53]  Roger Hadgraft,et al.  Engineering Education and the Development of Expertise , 2011 .

[54]  Aditya Johri,et al.  Situated Engineering Learning: Bridging Engineering Education Research and the Learning Sciences , 2011 .

[55]  Aditya Johri,et al.  Framework for improving engineering representational literacy by using pen-based computing , 2011 .

[56]  Reed Stevens,et al.  Multiple Perspectives on Engaging Future Engineers , 2011 .

[57]  Richard Lesh,et al.  Alternatives to Trajectories and Pathways to Describe Development in Modeling and Problem Solving , 2012 .

[58]  Margot A. Vigeant,et al.  Development of the Heat and Energy Concept Inventory: Preliminary Results on the Prevalence and Persistence of Engineering Students' Misconceptions , 2012 .