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Modeling Students' Mathematical Modeling Competencies
by Andrew Hurford Christopher R. Haines Peter L. Galbraith Richard LeshAs 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.
Modeling the Figure in Clay, 30th Anniversary Edition
by Margit Malmstrom Bruno LucchesiFor thirty years, Modeling the Figure in Clay has been an indispensable anatomical resource for people who think, see, and understand form best in the round: sculptors. In the thirtieth anniversary edition of this classic work, master sculptor Bruno Lucchesi invites you on a guided tour of the human form. Follow him as he creates a figure in clay--literally from the inside out--starting with the skeleton, laying on the muscles to show male and female anatomy, and finishing with a complete figure sculpture with every detail of face and hair carefully modeled. BRUNO LUCCHESI's work has been added to the collections of the Whitney Museum of American Art, the Brooklyn Museum, and the Dallas Museum, among many others. Lucchesi has received awards from the National Academy, the National Arts Club, and the Architectural League. He was a Guggenheim Fellow in 1962-1963, he won a Gold Medal award from the National Academy of Design in 1990, and was awarded the Polich Tallix Foundry Prize from the National Sculpture Society in 2009.From the Trade Paperback edition.
Modeling the Head in Clay
by Margit Malmstrom Bruno LucchesiCreative techniques step-by-step. This book offers the reader an opportunity to watch one of our foremost contemporary sculptors at work, to see not just highlights of the creative process, but every step from beginning to end.In order to recreate the immediacy of an actual workshop situation, Bruno Lucchesi takes a single life-size head through all the stages of roughing in, modeling, refining the surface, and finishing and texturing, so that the reader can see exactly how he positions and models every detail.From the Trade Paperback edition.
Modellierungskompetenzen – Diagnose und Bewertung (Realitätsbezüge im Mathematikunterricht)
by Gilbert Greefrath Katja MaaßDer vorliegende Band widmet sich der notwendigen Frage, wie Lernleistungen bei Modellierungsaufgaben erkannt, gemessen und bewertet werden können. Dazu werden in Beiträgen verschiedene Tests zur Messung von Modellierungskompetenzen vorgestellt. Teilkompetenzen, die gut erfasst werden können, umfassen zum Beispiel Vereinfachen, Strukturieren, Erstellen von schriftliche Lösungen und Präsentationstechniken. Diskutiert wird aber auch die Bewertung komplexer Modellierungsaufgaben. Selbstredend geht es auch um lernförderliche Rückmeldung im Lehr-Lern-Prozess. Die Auswirkungen der Verwendung metakognitiver Lösungsstrategien wird untersucht. Vorgestellt wird weiter ein Kompetenzstufenmodell, das zur Aufgabenstellung und Leistungsinterpretation für die schriftliche Reifeprüfung in Österreich dient, sowie die Konzeption von Modellierungsaufgaben im Abitur.Dieser Band zeigt, wie mathematisches Modellieren sinnvoll und gewinnbringend genutzt werden kann und liefert Materialien und Ideen für den Einsatz in Schule und Hochschule.
Modelling and Development of Intelligent Systems: 6th International Conference, MDIS 2019, Sibiu, Romania, October 3–5, 2019, Revised Selected Papers (Communications in Computer and Information Science #1126)
by Dana Simian Laura Florentina StoicaThis volume constitutes the refereed proceedings of the 6th International Conference on Modelling and Development of Intelligent Systems, MDIS 2019, held in Sibiu, Romania, in October 2019.The 13 revised full papers presented in the volume were carefully reviewed and selected from 31 submissions. The papers are organized in topical sections on adaptive systems; conceptual modelling; data mining; intelligent systems for decision support; machine learning.
Modelling and Development of Intelligent Systems: 7th International Conference, MDIS 2020, Sibiu, Romania, October 22–24, 2020, Revised Selected Papers (Communications in Computer and Information Science #1341)
by Dana Simian Laura Florentina StoicaThis volume constitutes the refereed proceedings of the 7th International Conference on Modelling and Development of Intelligent Systems, MDIS 2020, held in Sibiu, Romania, in October 2020. Due to the COVID-19 pandemic the conference was held online. The 25 revised full papers presented in the volume were carefully reviewed and selected from 57 submissions. The papers are organized in topical sections on evolutionary computing; intelligent systems for decision support; machine learning; mathematical models for development of intelligent systems; modelling and optimization of dynamic systems; ontology engineering.
Modelling and Sculpture: A Guide to Traditional Methods
by Albert ToftA student of the great Edouard Lanteri and a celebrated sculptor in his own right, Albert Toft created this manual to offer students every practical detail necessary for a complete knowledge of modeling and sculpture. Both professionals and amateurs will find Toft's experienced guidance a valuable help in surmounting difficulties and avoiding errors. Topics include:*Modelling a portrait bust*Casting*Modelling for terra-cotta, in relief, and for bronze*Modelling in clay as a prelude to working in stone and woodThirty-six plates and eighty-two line illustrations enhance this manual, and a helpful glossary defines the most common terms.
Modelling, Argumentation and Problem-Solving in the Context of Outdoor Mathematics: Results of the MAP Study
by Simone JablonskiMathematics outside the classroom – this work examines the characteristics of outdoor mathematics in more detail. Leaving the classroom to discover mathematics in the environment has several potential benefits for mathematics, e.g. the acquisition of skills and competencies. By means of an empirical study with secondary school students, the competencies of modelling, argumentation and problem-solving are taken into consideration. Therefore, the work outdoors at real objects is compared to the work inside the classroom. Similarities and differences are reported from three different perspectives: an observation perspective, the students&’ perceptions perspective and a digital enrichment perspective. The results contribute to the question of what characterizes the work outdoors at real objects.
Modelling-based Teaching in Science Education
by John K. Gilbert Rosária JustiThisbook argues that modelling should be a component of all school curricula thataspire to provide 'authentic science education for all'. The literature onmodelling is reviewed and a 'model of modelling' is proposed. The conditionsfor the successful implementation of the 'model of modelling' in classrooms areexplored and illustrated from practical experience. The roles of argumentation,visualisation, and analogical reasoning, in successful modelling-based teachingare reviewed. The contribution of such teaching to both the learning of keyscientific concepts and an understanding of the nature of science areestablished. Approaches to the design of curricula that facilitate theprogressive grasp of the knowledge and skills entailed in modelling areoutlined. Recognising that the approach will both represent a substantial changefrom the 'content-transmission' approach to science teaching and be inaccordance with current best-practice in science education, the design ofsuitable approaches to teacher education are discussed. Finally, the challengesthat modelling-based education pose to science education researchers, advancedstudents of science education and curriculum design, teacher educators, publicexaminers, and textbook designers, are all outlined.
Modelling Exciting Writing: A guide for primary teaching
by Adam Bushnell Rob Smith David WaughIn order to teach writing effectively, teachers must be able to model writing effectively to children. The Primary National Curriculum sets challenging expectations for the teaching of writing. Children must master the process of composition, redrafting, editing and writing final pieces. Increased emphasis on spelling, punctuation and grammar may leave some teachers and trainee teachers lacking ideas for developing children's writing beyond transcription and into composition. It is important that they are able to demonstrate their knowledge and understanding, as well as the practical applications of both transcriptional and compositional aspects of writing.
Modelling Exciting Writing: A guide for primary teaching
by Adam Bushnell Rob Smith David WaughIn order to teach writing effectively, teachers must be able to model writing effectively to children. The Primary National Curriculum sets challenging expectations for the teaching of writing. Children must master the process of composition, redrafting, editing and writing final pieces. Increased emphasis on spelling, punctuation and grammar may leave some teachers and trainee teachers lacking ideas for developing children's writing beyond transcription and into composition. It is important that they are able to demonstrate their knowledge and understanding, as well as the practical applications of both transcriptional and compositional aspects of writing.
Modelling Exciting Writing: A guide for primary teaching
by Adam Bushnell Rob Smith David WaughThe Primary National Curriculum sets challenging expectations for the teaching of writing. Children must master the process of composition, redrafting, editing and writing final pieces. The book: *Provides practical advice for the teaching of writing *Demonstrates how to model writing for children *Includes examples of good classroom practice of modelling writing *Focuses on writing in different aspects of the curriculum *Provides guidance, case studies and theoretical perspectives to show readers how they can become writers with and for children The updated second edition includes: *Ideas for discussion in a seminar/staff meeting/CPD event *A new chapter enabling teachers to support children to bring their own cultures and ethnicities into their writing
Modelling Exciting Writing: A guide for primary teaching
by Adam Bushnell Rob Smith David WaughThe Primary National Curriculum sets challenging expectations for the teaching of writing. Children must master the process of composition, redrafting, editing and writing final pieces. The book: *Provides practical advice for the teaching of writing *Demonstrates how to model writing for children *Includes examples of good classroom practice of modelling writing *Focuses on writing in different aspects of the curriculum *Provides guidance, case studies and theoretical perspectives to show readers how they can become writers with and for children The updated second edition includes: *Ideas for discussion in a seminar/staff meeting/CPD event *A new chapter enabling teachers to support children to bring their own cultures and ethnicities into their writing
Modelling Learners and Learning in Science Education
by Keith S. TaberThis book sets out the necessary processes and challenges involved in modeling student thinking, understanding and learning. The chapters look at the centrality of models for knowledge claims in science education and explore the modeling of mental processes, knowledge, cognitive development and conceptual learning. The conclusion outlines significant implications for science teachers and those researching in this field. This highly useful work provides models of scientific thinking from different field and analyses the processes by which we can arrive at claims about the minds of others. The author highlights the logical impossibility of ever knowing for sure what someone else knows, understands or thinks, and makes the case that researchers in science education need to be much more explicit about the extent to which research onto learners' ideas in science is necessarily a process of developing models. Through this book we learn that research reports should acknowledge the role of modeling and avoid making claims that are much less tentative than is justified as this can lead to misleading and sometimes contrary findings in the literature. In everyday life we commonly take it for granted that finding out what another knows or thinks is a relatively trivial or straightforward process. We come to take the 'mental register' (the way we talk about the 'contents' of minds) for granted and so teachers and researchers may readily underestimate the challenges involved in their work.
Modelling Natural Action Selection
by Anil K. Seth Tony J. Prescott Joanna J. BrysonAction selection is the task of doing the right thing at the right time. It requires the assessment of available alternatives, executing those most appropriate, and resolving conflicts among competing goals and possibilities. Using advanced computational modelling, this book explores cutting-edge research into action selection in nature from a wide range of disciplines, from neuroscience to behavioural ecology, and even political science. It delivers new insights into both detailed and systems-level attributes of natural intelligence and demonstrates advances in methodological practice. Contributions from leading researchers cover issues including whether biological action selection is optimal, neural substrates for action selection in the vertebrate brain, perceptual selection in decision making, and interactions between group and individual action selection. This first integrated review of action selection in nature contains a balance of review and original research material, consolidating current knowledge into a valuable reference for researchers while illustrating potential paths for future studies.
Modelling Written Communication
by Deirdre PrattThis book offers an alternative view to current postmodern approaches to composition. It takes a critical realist stance to arrive at the "essence" of written communication with the aim of informing a practical application: a computerised writing tutor. Following Robert Franck's seminal work on modelling, a theoretical model of writing was first formulated, consisting of an architecture of functions which constitute the prerequisites for effective communication. Next, an applied model - a composing algorithm with an input option - was developed, showing composing to be a systemic social process with intra- and extra-systemic variation. The algorithm provided the design template for a writing tutor program which models for the learner both the systemic and the socially situated nature of writing. This book establishes composing as a communicative interaction, and shows the essential dynamism of writing, while offering an exemplar of a systems approach to modelling in the social sciences.
Models and Modeling
by Issa M. Saleh Myint Swe KhineThe process of developing models, known as modeling, allows scientists to visualize difficult concepts, explain complex phenomena and clarify intricate theories. In recent years, science educators have greatly increased their use of modeling in teaching, especially real-time dynamic modeling, which is central to a scientific investigation. Modeling in science teaching is being used in an array of fields, everything from primary sciences to tertiary chemistry to college physics, and it is sure to play an increasing role in the future of education. Models and Modeling: Cognitive Tools for Scientific Enquiry is a comprehensive introduction to the use of models and modeling in science education. It identifies and describes many different modeling tools and presents recent applications of modeling as a cognitive tool for scientific enquiry.
Models and Modeling Perspectives: A Special Double Issue of mathematical Thinking and Learning
by Richard LeshThis special issue of Mathematical Thinking and Learning describes models and modeling perspectives toward mathematics problem solving, learning, and teaching. The concern is not only the mature forms of models and modeling in communities of scientists and mathematicians, but also the need to initiate students in these forms of thought. The contributions of this issue suggest a variety of ways that students (children through adults) can be introduced to highly productive forms of modeling practices. Collectively, they illustrate how modeling activities often lead to remarkable mathematical achievements by students formerly judged to be too young or too lacking in ability for such sophisticated and powerful forms of mathematical thinking. The papers also illustrate how modeling activities often create productive interdisciplinary niches for mathematical thinking, learning, and problem solving that involve simulations of similar situations that occur when mathematics is useful beyond school.
Models-based Practice in Physical Education (Routledge Studies in Physical Education and Youth Sport)
by Ashley Casey David KirkThis book offers a comprehensive synthesis of over 40 years of research on models in physical education to suggest Models-based Practice (MbP) as an innovative future approach to physical education. It lays out the ideal conditions for MbP to flourish by situating pedagogical models at the core of physical education programs and allowing space for local agency and the co-construction of practice. Starting from the premise that true MbP does not yet exist, the book makes a case for the term "pedagogical model" over alternatives such as curriculum model and instructional model, and explains how learners’ cognitive, social, affective and psychomotor needs should be organised in ways that are distinctive and unique to each model. It examines the core principles underpinning the pedagogical models that make up MbP, including pedagogical models as organising centres for program design and as design specifications for developing local programs. The book also explores how a common structure can be applied to analyse pedagogical models at macro, meso and micro levels of discourse. Having created a language through which to talk about pedagogical models and MbP, the book concludes by identifying the conditions - some existing and some aspirational - under which MbP can prosper in reforming physical education. An essential read for academics, doctoral and post-graduate students, and pre-service and in-service teachers, Models-based Practice in Physical Education is a vital point of reference for anyone who is interested in pedagogical models and wants to embrace this potential future of physical education.
Models-Based Science Teaching
by Steven W. GilbertIn this book, Steven Gilbert explores the concept of mental models in relation to the learning of science, and how we can apply this understanding when we teach science. Practising science teachers at all levels who want to explore new and better ways to frame and model science will find value in this book.
Models for Writers: Short Essays for Composition
by Alfred Rosa Paul EschholzModels for Writers provides brief, compelling readings similar in length to the essays you’ll be assigned to write in college. Step-by-step advice for writing includes definition, compare and contrast, and more, with additional coverage of the elements of the essay, using sources, and research papers.
Models for Writers: Short Essays for Composition
by Alfred Rosa Paul EschholzIt’s a simple, best-selling combination that has worked for over 20 years — short, accessible essays and helpful, thorough writing instruction. Models for Writerscontinues to offer thought-provoking selections organized to demonstrate not only the rhetorical patterns that students will use in their own essays but also the elements and language that will make those essays effective.
Models for Writers: Short Essays for Composition (11th Edition)
by Alfred Rosa Paul EschholzIt's a simple, best-selling combination that has worked for thousands of students -- short, accessible essays and helpful, thorough writing instruction. Models for Writers continues to offer thought-provoking selections organized to demonstrate not only the rhetorical patterns that students will use in their own essays but also the elements and language that will make those essays effective. This edition offers more coverage of the key elements of academic writing, including new strategies for writing a research paper and a section on writing a reflective essay. Read the preface.
Models for Writers with 2021 MLA Update: Short Essays for Composition
by Paul Eschholz Alfred RosaThis ebook has been updated to provide you with the latest guidance on documenting sources in MLA style and follows the guidelines set forth in the MLA Handbook, 9th edition (April 2021).Models for Writers provides brief, compelling readings similar in length to the essays you’ll be assigned to write in college. Step-by-step advice for writing includes definition, compare and contrast, and more, with additional coverage of the elements of the essay, using sources, and research papers.
Models of Decision-Making
by Paul WeirichClassical decision theory evaluates entire worlds, specified so as to include everything a decision-maker cares about. Thus applying decision theory requires performing computations far beyond an ordinary decision-maker's ability. In this book Paul Weirich explains how individuals can simplify and streamline their choices. He shows how different 'parts' of options (intrinsic, temporal, spatiotemporal, causal) are separable, so that we can know what difference one part makes to the value of an option, regardless of what happens in the other parts. He suggests that the primary value of options is found in basic intrinsic attitudes towards outcomes: desires, aversions, or indifferences. And using these two facts he argues that we need only compare small parts of the options we face in order to make a rational decision. This important book will interest readers in decision theory, economics, and the behavioral sciences.