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Investigations In Algebra
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Book Synopsis Investigations in Algebra by : Albert Cuoco
Download or read book Investigations in Algebra written by Albert Cuoco and published by MIT Press. This book was released on 1990 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus. This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher. In three parts, Investigations in Algebra emphasizes the treatment of functions as concrete objects modeled as Logo procedures, applies the techniques of induction and recursion to combinatorial problems, and takes up topics in number theory (including unique factorization congruence, and multiplicative functions). Integral to the presentation are numerous carefully constructed problems routine exercises, long term projects, and open ended experiments - developed in twenty years of classroom use. Investigations in Algebra is included in the series Exploring with Logo, edited by E. Paul Goldenberg.
Book Synopsis Mathematical Investigations by : Phil DeMarois
Download or read book Mathematical Investigations written by Phil DeMarois and published by Addison Wesley Publishing Company. This book was released on 2001 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflective of AMATYC and NCTM standards for teaching mathematics, this text (the first in a series of two texts) aims to make mathematics truly accessible to all students by taking an active approach to learning. Focused on mathematical reasoning and problem-solving strategies, Mathematical Investigations presents a series of carefully sequenced investigations where students gather data and work collaboratively to discover key concepts. The function concept is central to all topics from Chapter 3 forward and is explored through multiple representations. This text explores variables, notation, and processes explicitly rather than assuming students have mastered these concepts in previous courses. Content is explored in depth, and contextual problems are revisited throughout the text to create a spiral that gives students multiple opportunities to master important skills and concepts. Graphing calculators are integrated throughout the text to help students discover patterns and interpret data intelligently. Students construct their knowledge of a particular topic in a real-world context and then reinforce this knowledge through reflection, practice, and synthesis with other topics as they work through the text.
Book Synopsis The Mathematical Investigations of Dr. O and Arya by : Arya ökten
Download or read book The Mathematical Investigations of Dr. O and Arya written by Arya ökten and published by Tumblehome, Incorporated. This book was released on 2020-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A playful approach to some core ideas of mathematics, this book will help lay the foundation for understanding algebra and probability. Dr. O and his young associate Arya explore and discover ideas in ciphers, triangular numbers, primes and composites, probability, and a variety of fascinating number patterns. For a parent and curious child, or for a curious child alone, these mathematical investigations will invite re-reading and further exploration."--Back cover.
Book Synopsis 25 Real Life Math Investigations by : Edward Zaccaro
Download or read book 25 Real Life Math Investigations written by Edward Zaccaro and published by . This book was released on 2007-12-01 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investigations on topics such as the dangers of short term loans, interest, and other topics of financial literacy. Explore the math behind current topics such as ethanol and hybrid cars. Learn how math mistakes in the media have had significant consequences. These and other fascinating math investigations show the ability of mathematics to cut through deception and flawed thinking.
Book Synopsis Exploring, Investigating and Discovering in Mathematics by : Vasile Berinde
Download or read book Exploring, Investigating and Discovering in Mathematics written by Vasile Berinde and published by Springer Science & Business Media. This book was released on 2003-12-17 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers creative problem solving techniques designed to develop and inspire inventive skills in students. It presents an array of selected elementary themes from arithmetic, algebra, geometry, analysis and applied mathematics. Includes solutions to over 100 problems and hints for over 150 further problems and exercises.
Book Synopsis Investigations by : Stuart A. Kauffman
Download or read book Investigations written by Stuart A. Kauffman and published by Oxford University Press. This book was released on 2002-09-19 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: "It may be that I have stumbled upon an adequate description of life itself." These modest yet profound words trumpet an imminent paradigm shift in scientific, economic, and technological thinking. In the tradition of Schrödinger's classic What Is Life?, Kauffman's Investigations is a tour-de-force exploration of the very essence of life itself, with conclusions that radically undermine the scientific approaches on which modern science rests--the approaches of Newton, Boltzman, Bohr, and Einstein. Building on his pivotal ideas about order and evolution in complex life systems, Kauffman finds that classical science does not take into account that physical systems--such as people in a biosphere--effect their dynamic environments in addition to being affected by them. These systems act on their own behalf as autonomous agents, but what defines them as such? In other words, what is life? Kauffman supplies a novel answer that goes beyond traditional scientific thinking by defining and explaining autonomous agents and work in the contexts of thermodynamics and of information theory. Much of Investigations unpacks the progressively surprising implications of his definition. Significantly, he sets the stages for a technological revolution in the coming decades. Scientists and engineers may soon seek to create autonomous agents--both organic and mechanical--that can not only construct things and work, but also reproduce themselves! Kauffman also lays out a foundation for a new concept of organization, and explores the requirements for the emergence of a general biology that will transcend terrestrial biology to seek laws governing biospheres anywhere in the cosmos. Moreover, he presents four candidate laws to explain how autonomous agents co-create their biosphere and the startling idea of a "co-creating" cosmos. A showcase of Kauffman's most fundamental and significant ideas, Investigations presents a new way of thinking about the fundamentals of general biology that will change the way we understand life itself--on this planet and anywhere else in the cosmos.
Book Synopsis Mathematical Investigations by : Phil DeMarois
Download or read book Mathematical Investigations written by Phil DeMarois and published by . This book was released on 1996 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Investigations by : Phil DeMarois
Download or read book Mathematical Investigations written by Phil DeMarois and published by . This book was released on 1995-09-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ways to Think About Mathematics by : Steve Benson
Download or read book Ways to Think About Mathematics written by Steve Benson and published by Corwin Press. This book was released on 2004-10-05 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.
Book Synopsis Mathematical investigations by : Phil DeMarois
Download or read book Mathematical investigations written by Phil DeMarois and published by . This book was released on 2008-12-19 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Investigations in Introductory Algebra by : Phil DeMarois
Download or read book Mathematical Investigations in Introductory Algebra written by Phil DeMarois and published by Addison Wesley. This book was released on 1997-12-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Algebra in the Early Grades by : James J. Kaput
Download or read book Algebra in the Early Grades written by James J. Kaput and published by Routledge. This book was released on 2017-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
Book Synopsis Open-ended Maths Investigations by : Ann Baker
Download or read book Open-ended Maths Investigations written by Ann Baker and published by Blake Education. This book was released on 2006 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides teachers with open-ended investigations matched to all strands of mathematics (number, money, measurement, space, chance and data, patterns and algebra.)" -- T.p. verso.
Download or read book Advanced Algebra written by Harris et al and published by . This book was released on 2017-08-21 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Discovering Advanced Algebra by : Jerald Murdock
Download or read book Discovering Advanced Algebra written by Jerald Murdock and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Changes in society and the workplace require a careful analysis of the algebra curriculum that we teach. The curriculum, teaching, and learning of yesterday do not meet the needs of today's students.
Book Synopsis Computer Science Logo Style by : Brian Harvey
Download or read book Computer Science Logo Style written by Brian Harvey and published by . This book was released on 1997 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Peek Into Math of the Past by : Erica Dakin Voolich
Download or read book A Peek Into Math of the Past written by Erica Dakin Voolich and published by Dale Seymour Publications. This book was released on 2001 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the mathematics of the past and includes information about important persons and cultures who developed it.
