Exploring Mathematics Investigations With Functions
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Exploring Mathematics Investigations With Functions
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Author : Craig Johnson
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2014-08
Exploring Mathematics Investigations With Functions written by Craig Johnson and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08 with Functional analysis categories.
Includes Access to Student Companion Website! Exploring Mathematics: Investigations with Functions is designed for one- or two- term mathematics courses for humanities and liberal arts majors. This unique ten-chapter text covers modern applications of mathematics in the liberal arts and situates the discipline within its rich and varied history. Exploring Mathematics draws on examples from the humanities, including how math is used in music and astronomy, and features perforated pages for easy study and review. The student-friendly writing style and informal approach demystifies the subject matter and offers an engaging and informative overview that will pique students' curiosity and desire to explore mathematics further. Organized around the use of algebraic functions, this text builds conceptual bridges between each chapter so that students develop advanced mathematical skills within a larger context. Unlike other texts that present mathematical topics as a disconnected set of rules and equations, Exploring Mathematics flows seamlessly from one subject to the next, situating each within its historical and cultural context. This text provides a unique opportunity to showcase the richness of mathematics as a foundation upon which to build understanding of many different phenomena. Students will come away with a solid knowledge base of the unifying ideas of mathematics and the ability to explain how mathematics helps us to better our society and understand the world around us. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines. Key Features: A full color, interactive design provides students with a safe environment to graph solutions, check off chapter objectives, and answer questions directly in their textbook Piques student interest in math by relating it to areas such as astronomy and music, found in Chapter 4, Astronomy and the Methods of Science and Chapter 9, Mathematics in Music and Cryptology Utilizes the concept of a function as a central theme, providing a common thread through chapters Presents an engaging, student-friendly style with problem sets that incorporate real-world applications and data An abundance of examples illustrating important applications are presented in each section, while four-color pictures and diagrams reinforce key concepts and increase student comprehension Every new, printed copy includes access to a student companion website, featuring a lab manual and student solutions manual
Exploring Mathematics
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Author : Craig Johnson
language : en
Publisher: Jones & Bartlett Publishers
Release Date : 2014-08
Exploring Mathematics written by Craig Johnson and has been published by Jones & Bartlett Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08 with Mathematics categories.
Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.
Discovering Mathematics
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Author : A. Gardiner
language : en
Publisher: Courier Corporation
Release Date : 2006-01-26
Discovering Mathematics written by A. Gardiner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-26 with Mathematics categories.
The term "mathematics" usually suggests an array of familiar problems with solutions derived from well-known techniques. Discovering Mathematics: The Art of Investigation takes a different approach, exploring how new ideas and chance observations can be pursued, and focusing on how the process invariably leads to interesting questions that would never have otherwise arisen. With puzzles involving coins, postage stamps, and other commonplace items, students are challenged to account for the simple explanations behind perplexing mathematical phenomena. Elementary methods and solutions allow readers to concentrate on the way in which the material is explored, as well as on strategies for answers that aren't immediately obvious. The problems don't require the kind of sophistication that would put them out of reach of ordinary students, but they're sufficiently complex to capture the essential features of mathematical discovery. Complete solutions appear at the end.
Exploring Mathematics
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Author : Rajee Amarasinghe
language : en
Publisher: Cognella Academic Publishing
Release Date : 2011-07-25
Exploring Mathematics written by Rajee Amarasinghe and has been published by Cognella Academic Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-25 with categories.
Mathematical Investigations
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Author : Phil DeMarois
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 2001
Mathematical Investigations written by Phil DeMarois and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
Exploring Mathematics
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Author : Rajee Amarasinghe
language : en
Publisher:
Release Date : 2012-07
Exploring Mathematics written by Rajee Amarasinghe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07 with Mathematics categories.
Exploring Mathematics: Investigations for Elementary School Teachers is a text designed to give readers a highly conceptual understanding of mathematics topics essential for Common Core Standards-based elementary school teaching. In this book, the development of mathematical concepts, methods, and skills takes place through discussions and analyses of alternative solutions to engaging problems and activities with the use of manipulatives, visual models, and technology. Prospective teachers are expected to make sense of the problems and activities, communicate and articulate their ideas, critique the reasoning of others, and persevere solving problems using appropriate tools. Special features of the book include "Polya's corners" for challenging problems with multiple access points, chapter reflection writing assignments, individual and group project descriptions, and extensive problem sets. The material in Exploring Mathematics is extensively classroom-tested, making this book an ideal, practical text for upper-division mathematics courses for pre-service elementary school teachers. The book not only shows ideas for implementing the eight standards of mathematical practices described in the common core standards into elementary teaching, but also allows the readers to actually experience those practices in their own learning process.
Exploring Mathematics With Cas Assistance
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Author : Lydia S. Novozhilova
language : en
Publisher: American Mathematical Society
Release Date : 2022-11-08
Exploring Mathematics With Cas Assistance written by Lydia S. Novozhilova and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-08 with Mathematics categories.
Exploring Mathematics with CAS Assistance is designed as a textbook for an innovative mathematics major course in using a computer-algebra system (CAS) to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability. The goal is to provoke an inquiry mindset in students and to arm them with the CAS tools to investigate low-entry, open-ended questions in a variety of mathematical arenas. Because of the modular design, the individual chapters could also be used selectively to design student projects in a number of upper-division mathematics courses. These projects could, in fact, lead into undergraduate research projects. The existence of powerful computer-algebra systems has changed the way mathematicians perform research; this book enables instructors to put some of those new methods and approaches into their undergraduate instruction. Prerequisites include a basic working knowledge of discrete mathematics and single-variable calculus. Programming experience and some basic familiarity with elementary probability and statistics are beneficial but not required. The book takes a software-agnostic approach and emphasizes algorithmic structure of solution methods by systematically providing their step-by-step verbal descriptions or suitable pseudocode that can be implemented in any CAS.
Precalculus
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Author : David Lippman
language : en
Publisher:
Release Date : 2022-07-14
Precalculus written by David Lippman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-07-14 with categories.
This is an open textbook covering a two-quarter pre-calculus sequence including trigonometry. The first portion of the book is an investigation of functions, exploring the graphical behavior of, interpretation of, and solutions to problems involving linear, polynomial, rational, exponential, and logarithmic functions. The second portion of the book introduces trigonometry, introduced through an integrated circle/triangle approach. Identities are introduced in the first chapter, and revisited throughout. Likewise, solving is introduced in the second chapter and revisited more extensively in the third chapter. An emphasis is placed on modeling and interpretation, as well as the important characteristics needed in calculus.
Exploring Investigating And Discovering In Mathematics
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Author : Vasile Berinde
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Exploring Investigating And Discovering In Mathematics written by Vasile Berinde and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Functions In Mathematics
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Author : Mark Daniels
language : en
Publisher: Cognella Academic Pub
Release Date : 2011-06
Functions In Mathematics written by Mark Daniels and has been published by Cognella Academic Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06 with Mathematics categories.
When discussing the mathematical knowledge of elementary school teachers, the National Council of Teachers of Mathematics concludes that teachers must have a deep understanding of mathematics and be able to easily draw on that knowledge with flexibility in their teaching tasks. Mathematics teachers must understand the big ideas of mathematics and be able to represent mathematics as a coherent and connected endeavor. This inquiry and exploration-based workbook has been designed as a tool for pre-service and in-service mathematics teachers to use as a guidebook for "doing mathematics" and exploring mathematics topics in depth. The lessons chosen for this text serve as a function-based approach that connects important topics in the secondary mathematics curriculum and act as a bridge to university-level mathematics. Whether used as a course text or for individual professional development purposes, this book should be approached from the standpoint of discovery and reflection about the significance of the selected topics. It is the authors' hope that the explorations contained within serve as vehicles for classroom discussion and presentation of mathematics topics, or as starting points for further investigation. Efraim P. Armendariz is a professor of mathematics at the University of Texas at Austin. His mathematical interests include noncommutative ring theory, development of educational programs addressing accessibility issues, and development of secondary mathematics teachers. He received a Ph.D. in Mathematics from the University of Nebraska-Lincoln in 1966. Mark L. Daniels is a clinical associate professor of mathematics and UTeach Natural Sciences at the University of Texas at Austin. His research interests involve the preparation of pre-service teachers and the incorporation of instructional methodology in mathematics courses taken by students seeking certification.