Understanding In Mathematics
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Understanding In Mathematics
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Author : Anna Sierpinska
language : en
Publisher: Routledge
Release Date : 2013-01-11
Understanding In Mathematics written by Anna Sierpinska and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-11 with Education categories.
The concept of understanding in mathematics with regard to mathematics education is considered in this volume. The main problem for mathematics teachers being how to facilitate their students' understanding of the mathematics being taught. In combining elements of maths, philosophy, logic, linguistics and the psychology of maths education from her own and European research, Dr Sierpinska considers the contributions of the social and cultural contexts to understanding. The outcome is an insight into both mathematics and understanding.
Understanding And Teaching Primary Mathematics
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Author : Tony Cotton
language : en
Publisher: Routledge
Release Date : 2014-04-29
Understanding And Teaching Primary Mathematics written by Tony Cotton and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-29 with Education categories.
How would you teach the concept of odd and even numbers to a child? What is the probability of throwing a three on a six-sided die? How could you help a child who is confusing ratio and proportion? By seamlessly combining subject knowledge and pedagogy, the second edition of Understanding and Teaching Primary Mathematics will not only build your own confidence in mathematics, but also equip you with the curriculum understanding and pedagogical know-how to excel at teaching maths to children of any age. Written in a clear and accessible way, the book guides you through the fundamental ideas which are at the heart of teaching and learning maths, with special focus on observation and assessment of primary and early years children. Hallmark features Links to the classroom and research are provided throughout to help you relate educational theory to your own teaching practice. Portfolio and audit tasks allow you to assess your own subject knowledge and build up a portfolio of evidence to gain Qualified Teacher Status. The accompanying extra resources offers topic-specific self-audits for you to monitor your progress, exemplar lesson plans, a range of Portfolio Tasks mapped directly to current teacher standards and web-links to up-to-date online resources. New to this edition Resource Inspiration boxes give inviting examples of different activities to do with your class to provide inspiration for your own teaching. High quality videos with corresponding discussion, have been expertly selected from Teachers TV help to widen your skills and develop your practice, offering tips, lesson ideas and classroom resources.
Understanding Mathematics And Science Matters
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Author : Thomas A. Romberg
language : en
Publisher: Routledge
Release Date : 2005
Understanding Mathematics And Science Matters written by Thomas A. Romberg and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Education categories.
Drawing on conclusions from 1996-2001 research conducted by the National Center for Improving Student Learning in Mathematics and Science, this volumes details education reform in math and science instruction. Topics include developing modeling and argument in the elementary grades, developing algebraic reasoning in the elementary school, learning mathematics in high school, changing teachers' professional work in mathematics, teacher collaboration, and research in assessment practices.
Understanding Mathematics For Young Children
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Author : Derek Haylock
language : en
Publisher: SAGE Publications Limited
Release Date : 2017-05-02
Understanding Mathematics For Young Children written by Derek Haylock and has been published by SAGE Publications Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-02 with Education categories.
Having a deep understanding of the mathematical ideas and concepts taught in the classroom is vital as a nursery or primary school teacher. In order for children to truly grasp these concepts, trainee teachers need to be aware of how they come to interpret and understand them. Now into its Fifth Edition, this essential book helps trainee teachers develop their own knowledge of key mathematical ideas and concepts for the nursery and primary classroom. Now focusing specifically on ages 3-7, it also supports trainees with several age-appropriate classroom activities. As well as updates to further reading suggestions and research focuses, this revised edition includes new content on: Mastery in learning mathematics Simple Fractions Roman numerals Money as a form of measurement
Enhancing Mathematics Understanding Through Visualization The Role Of Dynamical Software
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Author : Habre, Samer
language : en
Publisher: IGI Global
Release Date : 2013-05-31
Enhancing Mathematics Understanding Through Visualization The Role Of Dynamical Software written by Habre, Samer and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-31 with Education categories.
Mathematics is, by its very nature, an abstract discipline. However, many students learn best by thinking in terms of tangible constructs. Enhancing Mathematics Understanding through Visualization: The Role of Dynamical Software brings these conflicting viewpoints together by offering visual representations as a method of mathematics instruction. The book explores the role of technology in providing access to multiple representations of concepts, using software applications to create a rich environment in which a students understanding of mathematical concepts can flourish. Both students and instructors of mathematics at the university level will use this book to implement various novel techniques for the delivery of mathematical concepts in their classrooms. This book is part of the Research Essential collection.
The Problem With Math Is English
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Author : Concepcion Molina
language : en
Publisher: John Wiley & Sons
Release Date : 2012-09-04
The Problem With Math Is English written by Concepcion Molina 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 2012-09-04 with Education categories.
Teaching K-12 math becomes an easier task when everyone understands the language, symbolism, and representation of math concepts Published in partnership with SEDL, The Problem with Math Is English illustrates how students often understand fundamental mathematical concepts at a superficial level. Written to inspire ?aha? moments, this book enables teachers to help students identify and comprehend the nuances and true meaning of math concepts by exploring them through the lenses of language and symbolism, delving into such essential topics as multiplication, division, fractions, place value, proportional reasoning, graphs, slope, order of operations, and the distributive property. Offers a new way to approach teaching math content in a way that will improve how all students, and especially English language learners, understand math Emphasizes major attributes of conceptual understanding in mathematics, including simple yet deep definitions of key terms, connections among key topics, and insightful interpretation This important new book fills a gap in math education by illustrating how a deeper knowledge of math concepts can be developed in all students through a focus on language and symbolism.
Knowing And Teaching Elementary Mathematics
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Author : Liping Ma
language : en
Publisher: Routledge
Release Date : 2010-03-26
Knowing And Teaching Elementary Mathematics written by Liping Ma and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-26 with Education categories.
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
How We Understand Mathematics
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Author : Jacek Woźny
language : en
Publisher: Springer
Release Date : 2018-04-25
How We Understand Mathematics written by Jacek Woźny and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-25 with Mathematics categories.
This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.
Children S Understanding Of Mathematics 11 16
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Author : Kathleen M. Hart
language : en
Publisher:
Release Date : 1981
Children S Understanding Of Mathematics 11 16 written by Kathleen M. Hart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematical ability categories.
Concept Based Mathematics
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Author : Jennifer T.H. Wathall
language : en
Publisher: Corwin Press
Release Date : 2016-01-14
Concept Based Mathematics written by Jennifer T.H. Wathall and has been published by Corwin Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-14 with Education categories.
Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant