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Extending The Challenge In Mathematics

Author: Linda Jensen Sheffield
Publisher: Corwin Press
ISBN: 148336609X
Size: 39.62 MB
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This guide provides the practical tips and tools educators need to help their mathematically promising students develop their potential to the fullest.

Challenging Mathematics In And Beyond The Classroom

Author: Edward J. Barbeau
Publisher: Springer Science & Business Media
ISBN: 9780387096032
Size: 54.82 MB
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In the mid 1980s, the International Commission on Mathematical Instruction (ICMI) inaugurated a series of studies in mathematics education by comm- sioning one on the influence of technology and informatics on mathematics and its teaching. These studies are designed to thoroughly explore topics of c- temporary interest, by gathering together a group of experts who prepare a Study Volume that provides a considered assessment of the current state and a guide to further developments. Studies have embraced a range of issues, some central, such as the teaching of algebra, some closely related, such as the impact of history and psychology, and some looking at mathematics education from a particular perspective, such as cultural differences between East and West. These studies have been commissioned at the rate of about one per year. Once the ICMI Executive decides on the topic, one or two chairs are selected and then, in consultation with them, an International Program Committee (IPC) of about 12 experts is formed. The IPC then meets and prepares a Discussion Document that sets forth the issues and invites interested parties to submit papers. These papers are the basis for invitations to a Study Conference, at which the various dimensions of the topic are explored and a book, the Study Volume, is sketched out. The book is then put together in collaboration, mainly using electronic communication. The entire process typically takes about six years.

Extending The Frontiers Of Mathematics

Author: Edward B. Burger
Publisher: Key College Pub
Size: 19.62 MB
Format: PDF, Docs
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This book leads students to develop a mature process that will serve them throughout their professional careers, whether inside or outside of mathematics. Its inquiry-based approach to the foundations of mathematics promotes exploration of proofs and other advanced mathematical ideas. The book uses puzzles and patterns, teaches the "prove and extend or disprove and salvage" approach to problems and proofs, and builds mathematical challenge on challenge to boost skills.

Making Thinking Visible

Author: Ron Ritchhart
Publisher: John Wiley & Sons
ISBN: 047091551X
Size: 80.59 MB
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"Visible Thinking is a research-based approach to teaching thinking that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is an extensive and adaptable collection of practices that include thinking routines and the documentation of student thinking. The routines are a central element of the practical, functional and accessible nature of Visible Thinking. Thinking routines are easy to use mini-strategies that are repeatedly used in the classroom. They are a small set of questions or a short sequence of steps that can be used across various grade levels and content. Each routine targets a different type of thinking and by bringing their own content, teachers can integrate the routines into the fabric of their classrooms. Thinking Routines help direct student thinking and structure classroom discussion. Thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon"--

Primary Mathematics Extending Knowledge In Practice

Author: Alice Hansen
Publisher: SAGE
ISBN: 9780857252333
Size: 75.38 MB
Format: PDF, ePub
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Still the biggest concern for many on initial teacher training courses is the acquisition of subject knowledge and the ability to translate that into effective teaching. This book addresses this - building on the core subject knowledge covered in the Achieving QTS series and relating it to classroom practice. It supports trainees in extending and deepening their knowledge of Maths and demonstrating how to apply it to planning and implementing lessons. Practical and up-to-date teaching examples are used to clearly contextualize subject knowledge. A clear focus on classroom practice helps trainees to build confidence and develop their own teaching strategies.

Loving And Hating Mathematics

Author: Reuben Hersh
Publisher: Princeton University Press
ISBN: 9781400836116
Size: 29.73 MB
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Mathematics is often thought of as the coldest expression of pure reason. But few subjects provoke hotter emotions--and inspire more love and hatred--than mathematics. And although math is frequently idealized as floating above the messiness of human life, its story is nothing if not human; often, it is all too human. Loving and Hating Mathematics is about the hidden human, emotional, and social forces that shape mathematics and affect the experiences of students and mathematicians. Written in a lively, accessible style, and filled with gripping stories and anecdotes, Loving and Hating Mathematics brings home the intense pleasures and pains of mathematical life. These stories challenge many myths, including the notions that mathematics is a solitary pursuit and a "young man's game," the belief that mathematicians are emotionally different from other people, and even the idea that to be a great mathematician it helps to be a little bit crazy. Reuben Hersh and Vera John-Steiner tell stories of lives in math from their very beginnings through old age, including accounts of teaching and mentoring, friendships and rivalries, love affairs and marriages, and the experiences of women and minorities in a field that has traditionally been unfriendly to both. Included here are also stories of people for whom mathematics has been an immense solace during times of crisis, war, and even imprisonment--as well as of those rare individuals driven to insanity and even murder by an obsession with math. This is a book for anyone who wants to understand why the most rational of human endeavors is at the same time one of the most emotional.

Challenging Problems In Algebra

Author: Alfred S. Posamentier
Publisher: Courier Corporation
ISBN: 0486131548
Size: 38.31 MB
Format: PDF, ePub
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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Extending Mathematical Understanding

Author: Ann Gervasoni
Publisher: BHS Publishing
ISBN: 9781876478261
Size: 47.77 MB
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extending mathematical understanding, mathematics intervention, childhood mathematics learning, mathematics assessment, intervention program, early number concepts, arithmetic strategies, multiplicative reasoning, place value concepts, counting knowledge, mathematics learning trajectory, early number learning, primary schools mathematics, learning difficulties, identification of mathematics learning difficulties or disabilities

Challenging Mathematical Tasks

Author: Peter Sullivan
ISBN: 9780190303808
Size: 56.26 MB
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Challenging Mathematical Tasks supports the idea that students learn best when they work on problems that they do not yet know how to solve. Peter Sullivan's research shows that many students do not fear challenges in mathematics, but welcome them. And rather than having teachers instruct them, these students prefer to work out solutions for themselves.Challenging Mathematical Tasks:includes activities that allow for sustained thinking, decision-making and risk-taking by the studentsfeatures a 'Learning Focus', 'Key Mathematical Language', 'Pedagogical Considerations', 'Enabling and Extending Prompts' for each task, plus 'Supplementary Tasks' and 'Possible Solutions'is written by a well-established expert in the field of teaching and learning mathematicsfollows a set structure to help students approach and work through the tasks.For a preview, see the Sample Pages tab.

Maths Express Year 5 Teachers Resource Book

Author: Pearson Education
Publisher: Ginn
ISBN: 0602297303
Size: 62.88 MB
Format: PDF, ePub
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The Numeracy Extras series provides a range of materials developed to be used alongside existing resources as extras to support maths teaching. The books in the Maths Express range are designed to stretch the more able pupil in a whole class context, and feature challenging exercises.