What Counts as Mathematics?

What Counts as Mathematics? PDF Author: Gail E. FitzSimons
Publisher: Springer Science & Business Media
ISBN: 0306476835
Category : Education
Languages : en
Pages : 280

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Book Description
This book presents an institutional study located at the intersection mathematics education and vocational education. Using the concept of technology as a unifying theme, it presents a critique of neoliberalist policies and their impact upon curriculum, teachers' work, and the apparent de-institutionalization of vocational education - with particular reference to mathematics education and the consequences for adult students as (potential) workers and citizens.

What Counts as Mathematics?

What Counts as Mathematics? PDF Author: Gail E. FitzSimons
Publisher: Springer Science & Business Media
ISBN: 0306476835
Category : Education
Languages : en
Pages : 280

Get Book Here

Book Description
This book presents an institutional study located at the intersection mathematics education and vocational education. Using the concept of technology as a unifying theme, it presents a critique of neoliberalist policies and their impact upon curriculum, teachers' work, and the apparent de-institutionalization of vocational education - with particular reference to mathematics education and the consequences for adult students as (potential) workers and citizens.

What Counts

What Counts PDF Author: Brian Butterworth
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440

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Book Description
Though he admits to not being particularly good at math, Butterworth (cognitive neuropsychology, U. College, London), the founder of the Mathematical Cognition journal, contends that we all possess an inherent "numerosity" sense--developed to different degrees of course. The author bases his case on empirical research and historical speculation. Annotation copyrighted by Book News, Inc., Portland, OR

Do I Count?

Do I Count? PDF Author: Gunter M. Ziegler
Publisher: CRC Press
ISBN: 1466564911
Category : Mathematics
Languages : en
Pages : 228

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Book Description
The subject of mathematics is not something distant, strange, and abstract that you can only learn about—and often dislike—in school. It is in everyday situations, such as housekeeping, communications, traffic, and weather reports. Taking you on a trip into the world of mathematics, Do I Count? Stories from Mathematics describes in a clear and captivating way the people behind the numbers and the places where mathematics is made. Written by top scientist and engaging storyteller Günter M. Ziegler and translated by Thomas von Foerster, the book presents mathematics and mathematicians in a manner that you have not previously encountered. It guides you on a scenic tour through the field, pointing out which beds were useful in constructing which theorems and which notebooks list the prizes for solving particular problems. Forgoing esoteric areas, the text relates mathematics to celebrities, history, travel, politics, science and technology, weather, clever puzzles, and the future. Can bees count? Is 13 bad luck? Are there equations for everything? What’s the real practical value of the Pythagorean Theorem? Are there Sudoku puzzles with fewer than 17 entries and just one solution? Where and how do mathematicians work? Who invented proofs and why do we need them? Why is there no Nobel Prize for mathematics? What kind of life did Paul Erdős lead? Find out the answers to these and other questions in this entertaining book of stories. You’ll see that everyone counts, but no computation is needed.

Counting: The Art of Enumerative Combinatorics

Counting: The Art of Enumerative Combinatorics PDF Author: George E. Martin
Publisher: Springer Science & Business Media
ISBN: 1475748787
Category : Mathematics
Languages : en
Pages : 263

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Book Description
This book provides an introduction to discrete mathematics. At the end of the book the reader should be able to answer counting questions such as: How many ways are there to stack n poker chips, each of which can be red, white, blue, or green, such that each red chip is adjacent to at least 1 green chip? The book can be used as a textbook for a semester course at the sophomore level. The first five chapters can also serve as a basis for a graduate course for in-service teachers.

Choral Counting & Counting Collections

Choral Counting & Counting Collections PDF Author: Megan L Franke
Publisher: Taylor & Francis
ISBN: 1003834043
Category : Education
Languages : en
Pages : 303

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Book Description
In this influential book from collaborative authors Megan L Franke, Elham Kazemi, and Angela Chan Turrou, Choral Counting & Counting Collections: Transforming the PreK – 5 Math Classroom, explores ways in which two routines -- Choral Counting and Counting Collections -- can transform your elementary math classroom, your students' math understanding, and your partnerships with families. It paints a vision for how deeply and creatively children can engage with ideas of number and operations and mathematical reasoning through counting. Created with real educators' needs in mind and organized by grade-level band (preschool, K-2, and 3-5), inside this book you'll find: Easy-to-use planning templates to guide teachers in implementing these powerful routines A variety of student recording sheets for Counting Collections that allow teachers to enact different variations of this activity across the grades Guides for selecting Choral Counts that support grade-level standards and mathematical goals Goal charts that provide specific guidance on teacher language and moves Advice on supporting both students' mathematical and social goals through Choral Counting and Counting Collections The authors have collected the wisdom of math teachers and researchers across the country who explore activities that are both playful and intentional, simple and sophisticated. If you're looking for ways to bring new energy into your math instruction, Choral Counting & Counting Collections: Transforming the PreK - 5 Math Classroom is the perfect book for you and your students.

Mathematics of Choice

Mathematics of Choice PDF Author: Ivan Niven
Publisher: MAA
ISBN: 0883856158
Category : Mathematics
Languages : en
Pages : 215

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Book Description


Discrete Mathematics

Discrete Mathematics PDF Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Category :
Languages : en
Pages : 342

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Book Description
This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.

Everybody Counts

Everybody Counts PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309185521
Category : Education
Languages : en
Pages : 128

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Book Description
Mathematics is the key to opportunity. No longer only the language of science, mathematics is now essential to business, finance, health, and defense. Yet because of the lack of mathematical literacy, many students are not prepared for tomorrow's jobs. Everybody Counts suggests solutions. Written for everyone concerned about our children's education, this book discusses why students in this country do not perform well in mathematics and outlines a comprehensive plan for revitalizing mathematics education in America, from kindergarten through college. single copy, $8.95; 2-9 copies, $7.50 each; 10 or more copies, $6.95 each (no other discounts apply)

Measuring What Counts

Measuring What Counts PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309049814
Category : Education
Languages : en
Pages : 240

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Book Description
To achieve national goals for education, we must measure the things that really count. Measuring What Counts establishes crucial research- based connections between standards and assessment. Arguing for a better balance between educational and measurement concerns in the development and use of mathematics assessment, this book sets forth three principlesâ€"related to content, learning, and equityâ€"that can form the basis for new assessments that support emerging national standards in mathematics education.

What is Mathematics?

What is Mathematics? PDF Author: Richard Courant
Publisher:
ISBN: 9780195105193
Category : Juvenile Nonfiction
Languages : en
Pages : 596

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Book Description
The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. "Lucid . . . easily understandable".--Albert Einstein. 301 linecuts.