Learning And Teaching Real World Problem Solving In School Mathematics
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Learning And Teaching Real World Problem Solving In School Mathematics
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Author : Murad Jurdak
language : en
Publisher: Springer
Release Date : 2016-05-30
Learning And Teaching Real World Problem Solving In School Mathematics written by Murad Jurdak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Education categories.
The ultimate aim of this book is to identify the conceptual tools and the instructional modalities which enable students and teachers to cross the boundary between school mathematics and real world problem solving. The book identifies, examines, and integrates seven conceptual tools, of which five are constructs (activity theory, narrative, modeling, critical mathematics education, ethnomathematics) and two are contexts (STEM and the workplace). The author develops two closely linked multiple-perspective frameworks: one for learning real world problem solving in school mathematics, which sets the foundations of learning real world problem solving in school mathematics; and one for teaching real world problem solving in school mathematics, which explores the modalities of teaching real world problem solving in school mathematics. “The book is composed as, on the one hand, a high-level theoretical scholarly work on real world problem solving in school mathematics, and, on the other hand, a set of twelve narratives which, put together, constitute a thought-provoking and moving personal and professional autobiography.” - Mogens Niss “These narratives combine aspects of Murad’s personal trajectory as an individual with those points in his professional career at which he became aware of perspectives on and approaches to mathematics education that were both significant in and of themselves, and instrumental for the specific scholarly endeavor presented in the book.” - Mogens Niss
Problem Based Learning For Math Science
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Author : Diane L. Ronis
language : en
Publisher: Corwin Press
Release Date : 2008
Problem Based Learning For Math Science written by Diane L. Ronis and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Education categories.
This title provides teachers with the tools they need to help students learn in an integrated, real-world instructional environment.
Conceptual Model Based Problem Solving
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Author : Yan Ping Xin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-02-11
Conceptual Model Based Problem Solving written by Yan Ping Xin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-11 with Education categories.
Are you having trouble in finding Tier II intervention materials for elementary students who are struggling in math? Are you hungry for effective instructional strategies that will address students’ conceptual gap in additive and multiplicative math problem solving? Are you searching for a powerful and generalizable problem solving approach that will help those who are left behind in meeting the Common Core State Standards for Mathematics (CCSSM)? If so, this book is the answer for you. • The conceptual model-based problem solving (COMPS) program emphasizes mathematical modeling and algebraic representation of mathematical relations in equations, which are in line with the new Common Core. • “Through building most fundamental concepts pertinent to additive and multiplicative reasoning and making the connection between concrete and abstract modeling, students were prepared to go above and beyond concrete level of operation and be able to use mathematical models to solve more complex real-world problems. As the connection is made between the concrete model (or students’ existing knowledge scheme) and the symbolic mathematical algorithm, the abstract mathematical models are no longer “alien” to the students.” As Ms. Karen Combs, Director of Elementary Education of Lafayette School Corporation in Indiana, testified: “It really worked with our kids!” • “One hallmark of mathematical understanding is the ability to justify,... why a particular mathematical statement is true or where a mathematical rule comes from” (http://illustrativemathematics.org/standards). Through making connections between mathematical ideas, the COMPS program makes explicit the reasoning behind math, which has the potential to promote a powerful transfer of knowledge by applying the learned conception to solve other problems in new contexts. • Dr. Yan Ping Xin’s book contains essential tools for teachers to help students with learning disabilities or difficulties close the gap in mathematics word problem solving. I have witnessed many struggling students use these strategies to solve word problems and gain confidence as learners of mathematics. This book is a valuable resource for general and special education teachers of mathematics. - Casey Hord, PhD, University of Cincinnati
Beliefs A Hidden Variable In Mathematics Education
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Author : G.C. Leder
language : en
Publisher: Springer Science & Business Media
Release Date : 2002
Beliefs A Hidden Variable In Mathematics Education written by G.C. Leder and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Education categories.
This book focuses on aspects of mathematical beliefs, from a variety of different perspectives. Current knowledge of the field is synthesized and existing boundaries are extended. The volume is intended for researchers in the field, as well as for mathematics educators teaching the next generation of students.
Making Sense Of Word Problems
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Author : Eric de Corte
language : en
Publisher: CRC Press
Release Date : 2000-01-01
Making Sense Of Word Problems written by Eric de Corte and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-01 with Education categories.
Word problems have been a staple of mathematics instruction for centuries, yet the rationale for their use has remained largely unexamined. A range of findings have shown how students consistently answer them in ways that fail to take account of the reality of the situations described. This monograph reports on studies carried out to investigate this "suspension of sense-making" in answering word problems. In Part One, a wide range of examples documenting the strength of the phenomenon is reviewed. Initial surprise at the findings was replaced by a conviction that the explanation lies in the culture of the mathematics classroom, specifically the rules implicitly governing the nature and interpretation of the word problem genre. This theoretical shift is reflected in Part Two. A detailed analysis of the way in which word problems are currently taught in typical mathematical classrooms is followed by reviews of design experiments illustrating how, by immersing students in a fundamentally changed learning environment, they can acquire what the authors consider to be more appropriate conceptions about, and strategies for doing, word problems. Part Three turns to a wider discussion of theoretical issues, a further analysis of the features of the educational system considered responsible for outcomes detrimental to many students' understanding and conception of mathematics, and suggestions for rethinking the role of word problems within the curriculum.
Mathematical Problem Solving
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Author : ALAN H. SCHOENFELD
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Mathematical Problem Solving written by ALAN H. SCHOENFELD and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.
Authentic Problem Solving And Learning In The 21st Century
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Author : Young Hoan Cho
language : en
Publisher: Springer
Release Date : 2015-08-12
Authentic Problem Solving And Learning In The 21st Century written by Young Hoan Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-12 with Education categories.
With the rapid changes in the social, political, economic and technological landscape around the world, today’s learners face a more globally competitive job market after leaving school. The 21st century, which is characterized by the emergence of knowledge-based societies, expects learners to be comfortable in dealing with ambiguities and complexities in the real world and to be able to use knowledge as a tool at their workplace. This book will help readers develop an in-depth understanding of authentic problem solving and learning, and how it can be used to make a difference in their school or learning communities for the development of 21st century competencies. Comprising 20 chapters written by Singapore-based and international authors, the book is organized into three themes: authentic problems, authentic practices, and authentic participation. It details innovative school practices (e.g. productive failure) concerning the design of problems, learning activities, learning environments, and ICT tools for authentic problem solving and learning. Along with theoretical explanations of authentic learning processes and outcomes, the book also elucidates how students learn by generating and exploring solutions to complex problems and which cognitive functions are needed at different stages of problem-based learning. Presenting coherent descriptions of instructional design principles, successful cases and challenges encountered in K-12 schools and learning communities, the book provides useful information, new insights, and practical guidance for school directors, parents, teachers and researchers seeking to develop authentic learning environments for 21st century learners.
Symbolizing Modeling And Tool Use In Mathematics Education
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Author : K.P Gravemeijer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Symbolizing Modeling And Tool Use In Mathematics Education written by K.P Gravemeijer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Education categories.
The almost universal rejection of the notion of symbols as `carriers of meaning' has created the need to find an alternative for the use of models as embodiments of mathematical concepts. By taking its point of departure as a concern for the way students actually use tools and symbols, and for what these signify for them, this book explores the option of building on symbolizing, modelling and tool use as personally meaningful activities of students. This theme is approached from different angles and different perspectives. One dimension is that of setting, varying from the study of informal, spontaneous activity of students, to an explicit focus on instructional design, and goals and effects of instruction. Another dimension is the theoretical framework of the researcher, varying from constructivism, to activity theory, cognitive-psychology and instructional-design theory. This book will appeal to a wide audience, varying from researchers, instructional designers, educators, and graduate students.
The Wiley Handbook Of Problem Based Learning
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Author : Mahnaz Moallem
language : en
Publisher: John Wiley & Sons
Release Date : 2019-01-30
The Wiley Handbook Of Problem Based Learning written by Mahnaz Moallem and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-30 with Education categories.
The first book to offer an in-depth exploration of the topic of problem-based learning with contributions from international experts The Wiley Handbook of Problem-Based Learning is the first book of its kind to present a collection of original essays that integrate the research and practice of problem-based learning in one comprehensive volume. With contributions from an international panel of leading scholars, researchers, practitioners and educational and training communities, the handbook is an authoritative, definitive, and contemporary volume that clearly demonstrates the impact and scope of research-based practice in problem-based learning (PBL). After many years of its successful implementation in medical education curricula, problem-based learning is now being emphasized and practiced more widely in K-12, higher education, and other professional fields. The handbook provides timely and stimulating advice and reflection on the theory, research, and practice of PBL. Throughout the book the contributors address the skills needed to implement PBL in the classroom and the need for creating learning environments that are active, collaborative, experiential, motivating and engaging. This important resource: Addresses the need for a comprehensive resource to problem-based learning research and implementation Contains contributions from an international panel of experts on the topic Offers a rich collection of scholarly writings that challenge readers to refresh their knowledge and rethink their assumptions Takes an inclusive approach that addresses the theory, design, and practice of problem-based learning Includes guidelines for instructional designers, and implementation and assessment strategies for practitioners Written for academics, students, and practitioners in education, The Wiley Handbook of Problem-Based Learning offers a key resource to the most recent information on the research and practice of problem-based learning.
Rethinking Mathematics
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Author : Eric Gutstein
language : en
Publisher: Rethinking Schools
Release Date : 2005
Rethinking Mathematics written by Eric Gutstein and has been published by Rethinking Schools this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
In this unique collection, more than 30 articles show how to weave social justice issues throughout the mathematics curriculum, as well as how to integrate mathematics into other curricular areas. Rethinking Mathematics offers teaching ideas, lesson plans, and reflections by practitioners and mathematics educators. This is real-world math-math that helps students analyze problems as they gain essential academic skills. This book offers hope and guidance for teachers to enliven and strengthen their math teaching. It will deepen students' understanding of society and help prepare them to be critical, active participants in a democracy. Blending theory and practice, this is the only resource of its kind.