Refining The Mathematics Knowledge Base

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Refining the Mathematics Knowledge Base

Author : Bindu Elizabeth Pothen
Publisher : Stanford University
ISBN 13 :
Total Pages : 253 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Refining the Mathematics Knowledge Base by : Bindu Elizabeth Pothen

Download or read book Refining the Mathematics Knowledge Base written by Bindu Elizabeth Pothen and published by Stanford University. This book was released on 2011 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the knowledge that teachers must bring to their classrooms is critical to the advancement of the field of teacher education. Understanding how teacher knowledge impacts various aspects of teacher practice is also critical. Understanding the interplay between teacher knowledge and practice, and consequently the result that this relationship has on student learning is most important. This dissertation attempts to advance our collective understanding of the complex relationship between teacher knowledge, teacher practice, and student learning in the field of elementary mathematics. Four third-grade teachers were followed as they taught a subset of lessons in a unit on fractions. The study first investigates the types of knowledge that the teachers brought to their classrooms. Then, an examination is conducted of the way in which these types of knowledge impacted their teaching practice. Finally, the student learning that resulted over the course of these lessons is discussed. This study supports the widespread belief that teacher knowledge is important to instruction. The descriptions of the case study teachers highlight that their varying levels of knowledge resulted in unique aspects of practice being emphasized in their classrooms. This dissertation documents the differences in teaching practice and the trade-offs that produce differences in student learning. Interesting student learning patterns emerged, based on qualitative student interviews. Medium students from classrooms in which teachers focused for more sustained periods on mathematical concepts seemed to demonstrate greater procedural fluency and deeper conceptual understanding than their peers in the other classrooms. Low students in classrooms where fluency was the focus seemed to show slightly greater procedural fluency, though less conceptual understanding, than their peers in the classrooms that spent more time on concepts. High students showed no appreciable difference across all classrooms. This study adds to the field by introducing a new construct, the conceptual threshold, to offer an explanation of these student learning trends.

Refining the Mathematics Knowledge Base

Author : Bindu Elizabeth Pothen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (745 download)

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Book Synopsis Refining the Mathematics Knowledge Base by : Bindu Elizabeth Pothen

Download or read book Refining the Mathematics Knowledge Base written by Bindu Elizabeth Pothen and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the knowledge that teachers must bring to their classrooms is critical to the advancement of the field of teacher education. Understanding how teacher knowledge impacts various aspects of teacher practice is also critical. Understanding the interplay between teacher knowledge and practice, and consequently the result that this relationship has on student learning is most important. This dissertation attempts to advance our collective understanding of the complex relationship between teacher knowledge, teacher practice, and student learning in the field of elementary mathematics. Four third-grade teachers were followed as they taught a subset of lessons in a unit on fractions. The study first investigates the types of knowledge that the teachers brought to their classrooms. Then, an examination is conducted of the way in which these types of knowledge impacted their teaching practice. Finally, the student learning that resulted over the course of these lessons is discussed. This study supports the widespread belief that teacher knowledge is important to instruction. The descriptions of the case study teachers highlight that their varying levels of knowledge resulted in unique aspects of practice being emphasized in their classrooms. This dissertation documents the differences in teaching practice and the trade-offs that produce differences in student learning. Interesting student learning patterns emerged, based on qualitative student interviews. Medium students from classrooms in which teachers focused for more sustained periods on mathematical concepts seemed to demonstrate greater procedural fluency and deeper conceptual understanding than their peers in the other classrooms. Low students in classrooms where fluency was the focus seemed to show slightly greater procedural fluency, though less conceptual understanding, than their peers in the classrooms that spent more time on concepts. High students showed no appreciable difference across all classrooms. This study adds to the field by introducing a new construct, the conceptual threshold, to offer an explanation of these student learning trends.

Automatic Refinement of Expert System Knowledge Bases

Author : Allen Ginsberg
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Automatic Refinement of Expert System Knowledge Bases by : Allen Ginsberg

Download or read book Automatic Refinement of Expert System Knowledge Bases written by Allen Ginsberg and published by Pitman Publishing. This book was released on 1988 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Mathematics Specialists

Author : Maggie B. McGatha
Publisher : IAP
ISBN 13 : 1681238241
Total Pages : 253 pages
Book Rating : 4.6/5 (812 download)

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Book Synopsis Elementary Mathematics Specialists by : Maggie B. McGatha

Download or read book Elementary Mathematics Specialists written by Maggie B. McGatha and published by IAP. This book was released on 2017-02-01 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary mathematics specialists are teacher leaders who are responsible for supporting effective PK–6 mathematics instruction and student learning. The Association of Mathematics Teacher Educators (AMTE), the Association of State Supervisors of Mathematics, the National Council of Supervisors of Mathematics, and the National Council of Teachers of Mathematics, in a 2010 joint position paper on Elementary Mathematics Specialists (EMSs), all advocate for the use of EMSs to support the teaching and learning of mathematics. The specific roles and expectations of EMSs will vary according to the needs of each setting, “but their expertise and successful experience at the elementary level is critical” (p 1). Elementary Mathematics Specialists: Developing, Refining, and Examining Programs that Support Mathematics Teaching and Learning is AMTE’s latest resource supporting the important work of EMSs. It has five sections related to the preparation and professional development of EMSs: (a) Overview and Current State of Affairs; (b) Models of EMS Program Development & Delivery; (c) Supporting EMSs in the Field; (d) The Mathematics Specialist Research; and (e) Future Directions. The book provides support to EMS practitioners, program providers/developers, and researchers seeking to answer important questions about how to prepare Mathematics Specialists, support them in the field, and research their effectiveness.

Mathematical Knowledge Management

Author : Michael Kohlhase
Publisher : Springer
ISBN 13 : 3540314318
Total Pages : 408 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematical Knowledge Management by : Michael Kohlhase

Download or read book Mathematical Knowledge Management written by Michael Kohlhase and published by Springer. This book was released on 2006-01-20 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Mathematical Knowledge Management. The 26 revised full papers presented were carefully selected during two rounds of reviewing and improvement from 38 submissions. The papers cover mathematical knowledge management. Topics range from foundations and the representational and document-structure aspects of mathematical knowledge, over process questions like authoring, migration, and consistency management by automated theorem proving to applications in e-learning and case studies.

Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education

Author : Wachira, Patrick
Publisher : IGI Global
ISBN 13 : 1799814777
Total Pages : 325 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education by : Wachira, Patrick

Download or read book Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education written by Wachira, Patrick and published by IGI Global. This book was released on 2019-11-29 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Online learning has become an important vehicle for teacher and student learning. When well designed, online environments can be very powerful in a way that is consistent with the goals of inquiry, experimentation, investigation, reasoning, and problem solving so learners can develop a deep understanding of a subject. Some subjects, however, are not well suited for this type of learning due to the need for small group collaborating and hands-on problem solving. The Handbook of Research on Online Pedagogical Models for Mathematics Teacher Education provides innovative insights into technology applications and tools used in teaching mathematics online and provides examples of online learning environments and platforms that are suitable for meeting math education goals of inquiry, investigation, reasoning, and problem solving. The content within this publication examines access to education, professional development, and web-based learning. It is designed for teachers, curriculum developers, instructional designers, educational software developers, IT consultants, higher education faculty, policymakers, administrators, researchers, academicians, and students.

Research in Collegiate Mathematics Education VII

Author : Fernando Hitt
Publisher : American Mathematical Soc.
ISBN 13 : 0821849964
Total Pages : 277 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Research in Collegiate Mathematics Education VII by : Fernando Hitt

Download or read book Research in Collegiate Mathematics Education VII written by Fernando Hitt and published by American Mathematical Soc.. This book was released on 2010-03-05 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of Research in Collegiate Mathematics Education, like previous volumes in this series, reflects the importance of research in mathematics education at the collegiate level. The editors in this series encourage communication between mathematicians and mathematics educators, and as pointed out by the International Commission of Mathematics Instruction (ICMI), much more work is needed in concert with these two groups. Indeed, editors of RCME are aware of this need and the articles published in this series are in line with that goal. Nine papers constitute this volume. The first two examine problems students experience when converting a representation from one particular system of representations to another. The next three papers investigate students learning about proofs. In the next two papers, the focus is instructor knowledge for teaching calculus. The final two papers in the volume address the nature of ``conception'' in mathematics. Whether they are specialists in education or mathematicians interested in finding out about the field, readers will obtain new insights about teaching and learning and will take away ideas that they can use.

Information Modelling and Knowledge Bases XXVIII

Author : H. Jaakkola
Publisher : IOS Press
ISBN 13 : 1614997209
Total Pages : 496 pages
Book Rating : 4.6/5 (149 download)

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Book Synopsis Information Modelling and Knowledge Bases XXVIII by : H. Jaakkola

Download or read book Information Modelling and Knowledge Bases XXVIII written by H. Jaakkola and published by IOS Press. This book was released on 2017-01-03 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information modelling and knowledge bases are now essential, not only to academics working in computer science, but also wherever information technology is applied. This book presents papers from the 26th International Conference on Information Modelling and Knowledge Bases (formerly the European Japanese Conference – EJC), which took place in Tampere, Finland, in June 2016. The conference provides a platform to bring together researchers and practitioners working with information modelling and knowledge bases, and the 33 accepted papers cover topics including: conceptual modelling; knowledge and information modelling and discovery; linguistic modelling; cross-cultural communication and social computing; environmental modelling and engineering; and multimedia data modelling and systems. All papers were improved and resubmitted for publication after the conference. Covering state-of-the-art research and practice, the book will be of interest to all those whose work involves information modelling and knowledge bases.

Transforming Mathematics Teacher Education

Author : Tonya Gau Bartell
Publisher : Springer
ISBN 13 : 3030210170
Total Pages : 181 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Transforming Mathematics Teacher Education by : Tonya Gau Bartell

Download or read book Transforming Mathematics Teacher Education written by Tonya Gau Bartell and published by Springer. This book was released on 2019-08-01 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book builds on the Teachers Empowered to Advance Change in Mathematics (TEACH Math) project, which was an initiative that sought to develop a new generation of preK-8 mathematics teachers to connect mathematics, children’s mathematical thinking, and community and family knowledge in mathematics instruction – or what we have come to call children’s multiple mathematical knowledge bases in mathematics instruction, with an explicit focus on equity. Much of the work involved in the TEACH Math project included the development of three instructional modules for preK-8 mathematics methods courses to support the project’s goals. These activities were used and refined over eight semesters, and in Fall 2014 shared at a dissemination conference with other mathematics teacher educators from a variety of universities across the United States. Chapter contributions represent diverse program and geographical contexts and teach prospective and practicing teachers from a variety of socioeconomic and ethnic backgrounds, in particular providing accounts of supports, challenges, and tensions in implementing equity-based mathematics teacher education. The chapters supply rich evidence and illustrative examples of how other mathematics teacher educators and professional developers might make the modules work for their unique practices, courses, workshops, and prospective teachers/teachers. It promises to be an important resource for offering guidance and examples to those working with prospective teachers of mathematics who want to create positive, culturally responsive, and equity-based mathematics experiences for our nation’s youth.

The Evolution of Research on Teaching Mathematics

Author : Agida Manizade
Publisher : Springer Nature
ISBN 13 : 3031311930
Total Pages : 380 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis The Evolution of Research on Teaching Mathematics by : Agida Manizade

Download or read book The Evolution of Research on Teaching Mathematics written by Agida Manizade and published by Springer Nature. This book was released on 2023-09-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book investigates current issues related to the evolution of research on teaching mathematics and examines up to thirty years of presage-process-product research (PPPR) in mathematics with respect to conceptualization, instrumentation, and design. The book discusses the theoretical and methodological challenges associated with PPPR, critically reviews current research, and explores the likely direction of further developments to identify future paths for research on high-quality mathematics teaching in the digital era. Subjects that are covered in this work focus on the relationships between 1) student learning outcomes measured upon completion of the mathematics teaching; 2) student learning activities in the classroom; 3) interactive mathematics teacher activities, and best practices in mathematics classrooms conducted in the presence of students; 4) pre-post-active mathematics teacher activities such as planning, assessment, and other teaching-related activities outside of the classroom; 5) mathematics teachers’ competencies, knowledge, and skills; and 6) mathematics teachers’ characteristics, including beliefs, attitudes, and motivation. This book discusses the evolution of such research in mathematics teaching and teacher education in the digital era and is of interest to researchers exploring the field of mathematics teaching and mathematics teacher education as well as educators.

Handbook of Research on STEM Education

Author : Carla C. Johnson
Publisher : Routledge
ISBN 13 : 0429664648
Total Pages : 619 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Handbook of Research on STEM Education by : Carla C. Johnson

Download or read book Handbook of Research on STEM Education written by Carla C. Johnson and published by Routledge. This book was released on 2020-04-27 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Research on STEM Education represents a groundbreaking and comprehensive synthesis of research and presentation of policy within the realm of science, technology, engineering, and mathematics (STEM) education. What distinguishes this Handbook from others is the nature of integration of the disciplines that is the founding premise for the work – all chapters in this book speak directly to the integration of STEM, rather than discussion of research within the individual content areas. The Handbook of Research on STEM Education explores the most pressing areas of STEM within an international context. Divided into six sections, the authors cover topics including: the nature of STEM, STEM learning, STEM pedagogy, curriculum and assessment, critical issues in STEM, STEM teacher education, and STEM policy and reform. The Handbook utilizes the lens of equity and access by focusing on STEM literacy, early childhood STEM, learners with disabilities, informal STEM, socio-scientific issues, race-related factors, gender equity, cultural-relevancy, and parental involvement. Additionally, discussion of STEM education policy in a variety of countries is included, as well as a focus on engaging business/industry and teachers in advocacy for STEM education. The Handbook’s 37 chapters provide a deep and meaningful landscape of the implementation of STEM over the past two decades. As such, the findings that are presented within provide the reader with clear directions for future research into effective practice and supports for integrated STEM, which are grounded in the literature to date.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Directory of Awards

Author : National Science Foundation (U.S.). Directorate for Science and Engineering Education
Publisher :
ISBN 13 :
Total Pages : 534 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Directory of Awards by : National Science Foundation (U.S.). Directorate for Science and Engineering Education

Download or read book Directory of Awards written by National Science Foundation (U.S.). Directorate for Science and Engineering Education and published by . This book was released on 1987 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Handbook of Artificial Intelligence

Author : Avron Barr
Publisher :
ISBN 13 : 9780865760042
Total Pages : 664 pages
Book Rating : 4.7/5 (6 download)

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Book Synopsis The Handbook of Artificial Intelligence by : Avron Barr

Download or read book The Handbook of Artificial Intelligence written by Avron Barr and published by . This book was released on 1981 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intelligent Mathematical Software Systems

Author : E.N. Houstis
Publisher : Elsevier
ISBN 13 : 0444599231
Total Pages : 378 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Intelligent Mathematical Software Systems by : E.N. Houstis

Download or read book Intelligent Mathematical Software Systems written by E.N. Houstis and published by Elsevier. This book was released on 1990-07-03 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the well-known mathematical software systems are batch oriented, though in the past few years there have been attempts to incorporate ``knowledge'' or ``expertise'' into these systems. A number of developments have helped in making the systems more powerful and user-friendly: algorithm/parameter selection for the solution of well-defined mathematical engineering problems; parallel computing; computer graphics technology; interface development tools; and of course the years of experience with these systems and the increase in available computing power have made it practical to fulfill the potential seen in the early years of their development. This book covers four main areas of the subject: Application Oriented Expert Systems, Advisory Systems, Knowledge Manipulation Issues, and User Interfaces.

The Mathematical Resilience Book

Author : Sue Johnston-Wilder
Publisher : Taylor & Francis
ISBN 13 : 1040029752
Total Pages : 321 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis The Mathematical Resilience Book by : Sue Johnston-Wilder

Download or read book The Mathematical Resilience Book written by Sue Johnston-Wilder and published by Taylor & Francis. This book was released on 2024-06-13 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about mathematical resilience: what it is, why it is important, how learners can develop it and how teachers can teach in ways that help learners become mathematically resilient. Teaching for mathematical resilience helps mitigate mathematics anxiety, which is often hidden from view as poor behaviour, avoidance and underachievement and can have long-term implications especially for people’s employment opportunities and career progression. Written by a team of expert contributors that specialise in teaching every age of learner from primary school through to adult, the book shows that everyone can progress in mathematics if they have Mathematical Resilience and sets out practical strategies to support learners in developing this important attribute. Chapters cover: How to measure mathematics anxiety and resilience Tools for building mathematical resilience Building a resilient mathematical learning environment The power of coaching Working with groups, individuals and support staff Supporting parents and carers The world faces huge challenges that involve mathematical thinking, including climate change and economic injustice. This valuable text shows teachers how they can help learners to engage positively with mathematical learning and reach their full potential.

International Handbook of Mathematics Teacher Education: Volume 3

Author :
Publisher : BRILL
ISBN 13 : 9004419233
Total Pages : 427 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis International Handbook of Mathematics Teacher Education: Volume 3 by :

Download or read book International Handbook of Mathematics Teacher Education: Volume 3 written by and published by BRILL. This book was released on 2019-12-09 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third volume of the International Handbook of Mathematics Teacher Education focuses on teachers, teacher educators, researchers, and others who work to provide effective learning opportunities for teachers, with emphasis on describing and analysing their engagement in mathematics teacher education collaborations and contexts from various perspectives.