Understanding In Mathematics

Author : Catalin Barboianu
Publisher : PhilScience Press
ISBN 13 : 9731991980
Total Pages : 315 pages
Book Rating : 4.86/5 ( download)

DOWNLOAD NOW!

Download or read book What is Mathematics: School Guide to Conceptual Understanding of Mathematics written by Catalin Barboianu and published by PhilScience Press. This book was released on 2021-01-18 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school. The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver. The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole. The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.

Author : A. J. Sadler
Publisher : Oxford University Press, USA
ISBN 13 : 9780199142439
Total Pages : 614 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

Download or read book Understanding Pure Mathematics written by A. J. Sadler and published by Oxford University Press, USA. This book was released on 1987 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers in one volume all topics required in the pure mathematics section of single subject A-Level Mathematics syllabuses in the UK, as well as a significant part of the work required by those studying for Further Mathematics and for A-Level

Author : Liping Ma
Publisher : Routledge
ISBN 13 : 1135149496
Total Pages : 290 pages
Book Rating : 4.99/5 ( download)

DOWNLOAD NOW!

Download or read book Knowing and Teaching Elementary Mathematics written by Liping Ma and published by Routledge. This book was released on 2010-03-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Anna Sierpinska
Publisher : Taylor & Francis
ISBN 13 : 1135716331
Total Pages : 206 pages
Book Rating : 4.32/5 ( download)

DOWNLOAD NOW!

Download or read book Understanding in Mathematics written by Anna Sierpinska and published by Taylor & Francis. This book was released on 2013-01-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jennifer T.H. Wathall
Publisher : Corwin Press
ISBN 13 : 150633265X
Total Pages : 307 pages
Book Rating : 4.59/5 ( download)

DOWNLOAD NOW!

Download or read book Concept-Based Mathematics written by Jennifer T.H. Wathall and published by Corwin Press. This book was released on 2016-01-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : James Hiebert
Publisher : Heinemann Educational Books
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.69/5 ( download)

DOWNLOAD NOW!

Download or read book Making Sense written by James Hiebert and published by Heinemann Educational Books. This book was released on 1997 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.

Author : Ed Southall
Publisher : SAGE
ISBN 13 : 152973648X
Total Pages : 401 pages
Book Rating : 4.89/5 ( download)

DOWNLOAD NOW!

Download or read book Yes, But Why? Teaching for Understanding in Mathematics written by Ed Southall and published by SAGE. This book was released on 2021-04-07 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The bestselling essential guide for mathematics teachers and those training to teach, Yes, but why? answers all your questions, and sheds light on the hidden connections between everything in mathematics at school. The new edition includes a new ′Test Yourself′ feature, additional coverage on fractions and much more!

Author : Brent Davis
Publisher : Routledge
ISBN 13 : 1135097860
Total Pages : 141 pages
Book Rating : 4.68/5 ( download)

DOWNLOAD NOW!

Download or read book The Math Teachers Know written by Brent Davis and published by Routledge. This book was released on 2013-07-18 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: What sorts of mathematics competencies must teachers have in order to teach the discipline well? This book offers a novel take on the question. Most research is focused on explicit knowledge–that is, on the sorts of insights that might be specified, catalogued, taught, and tested. In contrast, this book focuses on the tacit dimensions of teachers’ mathematics knowledge that precede and enable their competencies with formal mathematics. It highlights the complexity of this knowledge and offers strategies to uncover it, analyze it, and re-synthesize it in ways that will make it more available for teaching. Emerging from 10 years of collaborative inquiry with practicing teachers, it is simultaneously informed by the most recent research and anchored to the realities of teachers’ lives in classrooms.

Author : Tony Cotton
Publisher : Routledge
ISBN 13 : 1317614380
Total Pages : 352 pages
Book Rating : 4.88/5 ( download)

DOWNLOAD NOW!

Download or read book Understanding and Teaching Primary Mathematics written by Tony Cotton and published by Routledge. This book was released on 2014-04-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Claudi Alsina
Publisher : American Mathematical Soc.
ISBN 13 : 1614441006
Total Pages : 173 pages
Book Rating : 4.07/5 ( download)

DOWNLOAD NOW!

Download or read book Math Made Visual written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2006-12-31 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is it possible to make mathematical drawings that help to understand mathematical ideas, proofs, and arguments? The [Author];s of this book are convinced that the answer is yes and the objective of this book is to show how some visualization techniques may be employed to produce pictures that have both mathematical and pedagogical interest. Mathematical drawings related to proofs have been produced since antiquity in China, Arabia, Greece, and India, but only in the last thirty years has there been a growing interest in so-called ``proofs without words''. Hundreds of these have been published in Mathematics Magazine and The College Mathematics Journal, as well as in other journals, books, and on the internet. Often a person encountering a ``proof without words'' may have the feeling that the pictures involved are the result of a serendipitous discovery or the consequence of an exceptional ingenuity on the part of the picture's creator. In this book, the [Author];s show that behind most of the pictures, ``proving'' mathematical relations are some well-understood methods. As the reader shall see, a given mathematical idea or relation may have many different images that justify it, so that depending on the teaching level or the objectives for producing the pictures, one can choose the best alternative.