Refining The Mathematics Knowledge Base
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Refining The Mathematics Knowledge Base
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Author : Bindu Elizabeth Pothen
language : en
Publisher: Stanford University
Release Date : 2011
Refining The Mathematics Knowledge Base written by Bindu Elizabeth Pothen and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
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
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Author : Bindu Elizabeth Pothen
language : en
Publisher:
Release Date : 2011
Refining The Mathematics Knowledge Base written by Bindu Elizabeth Pothen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
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
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Author : Allen Ginsberg
language : en
Publisher: Pitman Publishing
Release Date : 1988
Automatic Refinement Of Expert System Knowledge Bases written by Allen Ginsberg and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Computers categories.
Research In Collegiate Mathematics Education Vii
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Author : Fernando Hitt
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-03-05
Research In Collegiate Mathematics Education Vii written by Fernando Hitt and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-05 with Mathematics categories.
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.
Knowledge Base Refinement As Improving An Incorrect Inconsistent And Incomplete Domain Theory
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Author : David C. Wilkins
language : en
Publisher:
Release Date : 1990
Knowledge Base Refinement As Improving An Incorrect Inconsistent And Incomplete Domain Theory written by David C. Wilkins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Artificial intelligence categories.
Knowledge Acquisition Knowledge Programming And Knowledge Refinement
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Author : Frederick Hayes-Roth
language : en
Publisher:
Release Date : 1980
Knowledge Acquisition Knowledge Programming And Knowledge Refinement written by Frederick Hayes-Roth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.
This report describes the principal findings and recommendations of a 2-year Rand research project on machine-aided knowledge acquisition and discusses the transfer of expertise from humans to machines, as well as the functions of planning, debugging, knowledge refinement, and autonomous machine learning. The relative advantages of humans and machines in the building of intelligent systems are explained. Background and guidance is provided for policymakers concerned with the research and development of machine-based learning systems. The research method adopted emphasized iterative refinement of knowledge in response to actual experience; i.e., a machine's knowledge was acquired initially from a human who provided enough concepts, constraints, and problem-solving heuristics to define some minimal level of performance. Sixty-two references are listed. (Author/FM)
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1989
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Aeronautics categories.
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
The Mathematical Resilience Book
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Author : Sue Johnston-Wilder
language : en
Publisher: Taylor & Francis
Release Date : 2024-06-13
The Mathematical Resilience Book written by Sue Johnston-Wilder and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-13 with Education categories.
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.
Directory Of Awards
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Author : National Science Foundation (U.S.). Directorate for Science and Engineering Education
language : en
Publisher:
Release Date : 1987
Directory Of Awards written by National Science Foundation (U.S.). Directorate for Science and Engineering Education and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Engineering categories.
Journal For Research In Mathematics Education
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Author :
language : en
Publisher:
Release Date : 2009
Journal For Research In Mathematics Education written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.