Exploratory Problems in Mathematics

Download Exploratory Problems in Mathematics PDF Online Free

Author :
Publisher : National Council of Teachers of
ISBN 13 : 9780873533386
Total Pages : 168 pages
Book Rating : 4.5/5 (333 download)

DOWNLOAD NOW!


Book Synopsis Exploratory Problems in Mathematics by : Frederick W. Stevenson

Download or read book Exploratory Problems in Mathematics written by Frederick W. Stevenson and published by National Council of Teachers of. This book was released on 1992 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school to graduate school, involve fundamental mathematics concepts, have satisfying solutions, and suggest several other problems. Chapter 1 describes the exploratory process that includes an inductive phase, a deductive phase, and a creative phase. Chapter 2 illustrates this process in a problem incorporating the calculator in the exploration. All the problems in the book follow the same format. The format includes a paragraph about the problem, questions to be explored, and a suggested beginning for the exploration. Chapters 3, 4, and 5 describe three mathematical excursions that illustrate the format while demonstrating the power of calculators and computers in the process. Chapters 6, 7, and 8 present 60 problems in chapters entitled "Twenty Mathematical Excursions,""Twenty Mathematical Expeditions," and "Twenty Computer-assisted Explorations." The excursions are generally shorter and perhaps easier; the expeditions are more extensive and open ended; and the computer explorations need a programmable hand calculator or a computer. Explorations involve topics such as prime numbers, Fibonacci sequences, Pascal's triangle, continued fractions and chaos. A list of suggested readings has 22 entries. (MDH)

Exploratory Problems in Mathematics

Download Exploratory Problems in Mathematics PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (639 download)

DOWNLOAD NOW!


Book Synopsis Exploratory Problems in Mathematics by : Fred Stevenson

Download or read book Exploratory Problems in Mathematics written by Fred Stevenson and published by . This book was released on 1983 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Icons of Mathematics: An Exploration of Twenty Key Images

Download Icons of Mathematics: An Exploration of Twenty Key Images PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470456168
Total Pages : 327 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Icons of Mathematics: An Exploration of Twenty Key Images by : Claudi Alsina

Download or read book Icons of Mathematics: An Exploration of Twenty Key Images written by Claudi Alsina and published by American Mathematical Soc.. This book was released on 2020-06-01 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present twenty icons of mathematics, that is, geometrical shapes such as the right triangle, the Venn diagram, and the yang and yin symbol and explore mathematical results associated with them. As with their previous books (Charming Proofs, When Less is More, Math Made Visual) proofs are visual whenever possible. The results require no more than high-school mathematics to appreciate and many of them will be new even to experienced readers. Besides theorems and proofs, the book contains many illustrations and it gives connections of the icons to the world outside of mathematics. There are also problems at the end of each chapter, with solutions provided in an appendix. The book could be used by students in courses in problem solving, mathematical reasoning, or mathematics for the liberal arts. It could also be read with pleasure by professional mathematicians, as it was by the members of the Dolciani editorial board, who unanimously recommend its publication.

Analysing the Solution of Word Problems in Mathematics: an Exploratory Study

Download Analysing the Solution of Word Problems in Mathematics: an Exploratory Study PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!


Book Synopsis Analysing the Solution of Word Problems in Mathematics: an Exploratory Study by : Jeremy Kilpatrick

Download or read book Analysing the Solution of Word Problems in Mathematics: an Exploratory Study written by Jeremy Kilpatrick and published by . This book was released on 1967 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symmetry

Download Symmetry PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3030516695
Total Pages : 263 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!


Book Synopsis Symmetry by : Kristopher Tapp

Download or read book Symmetry written by Kristopher Tapp and published by Springer Nature. This book was released on 2021-08-28 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Exploratory Examples for Real Analysis

Download Exploratory Examples for Real Analysis PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470458357
Total Pages : 160 pages
Book Rating : 4.4/5 (74 download)

DOWNLOAD NOW!


Book Synopsis Exploratory Examples for Real Analysis by : Joanne E. Snow

Download or read book Exploratory Examples for Real Analysis written by Joanne E. Snow and published by American Mathematical Soc.. This book was released on 2003-12-31 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text supplement contains 12 exploratory exercises designed to facilitate students' understanding of the most elemental concepts encountered in a first real analysis course: notions of boundedness, supremum/infimum, sequences, continuity and limits, limit suprema/infima, and pointwise and uniform convergence. In designing the exercises, the [Author];s ask students to formulate definitions, make connections between different concepts, derive conjectures, or complete a sequence of guided tasks designed to facilitate concept acquisition. Each exercise has three basic components: making observations and generating ideas from hands-on work with examples, thinking critically about the examples, and answering additional questions for reflection. The exercises can be used in a variety of ways: to motivate a lecture, to serve as a basis for in-class activities, or to be used for lab sessions, where students work in small groups and submit reports of their investigations. While the exercises have been useful for real analysis students of all ability levels, the [Author];s believe this resource might prove most beneficial in the following scenarios: A two-semester sequence in which the following topics are covered: properties of the real numbers, sequences, continuity, sequences and series of functions, differentiation, and integration. A class of students for whom analysis is their first upper division course. A group of students with a wide range of abilities for whom a cooperative approach focusing upon fundamental concepts could help to close the gap in skill development and concept acquisition. An independent study or private tutorial in which the student receives a minimal level of instruction. A resource for an instructor developing a cooperative, interactive course that does not involve the use of a standard text. Ancillary materials, including Visual Guide Sheets for those exercises that involve the use of technology and Report Guides for a lab session approach are provided online at: http:www.saintmarys.edu/~jsnow. In designing the exercise, the [Author];s were inspired by Ellen Parker's book, Laboratory Experiences in Group Theory, also published by the MAA.

Mathematical Problem Solving

Download Mathematical Problem Solving PDF Online Free

Author :
Publisher : Elsevier
ISBN 13 : 1483295486
Total Pages : 426 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Problem Solving by : ALAN H. SCHOENFELD

Download or read book Mathematical Problem Solving written by ALAN H. SCHOENFELD and published by Elsevier. This book was released on 2014-06-28 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to people with research interests in the nature of mathematical thinking at any level, topeople with an interest in "higher-order thinking skills" in any domain, and to all mathematics teachers. The focal point of the book is a framework for the analysis of complex problem-solving behavior. That framework is presented in Part One, which consists of Chapters 1 through 5. It describes four qualitatively different aspects of complex intellectual activity: cognitive resources, the body of facts and procedures at one's disposal; heuristics, "rules of thumb" for making progress in difficult situations; control, having to do with the efficiency with which individuals utilize the knowledge at their disposal; and belief systems, one's perspectives regarding the nature of a discipline and how one goes about working in it. Part Two of the book, consisting of Chapters 6 through 10, presents a series of empirical studies that flesh out the analytical framework. These studies document the ways that competent problem solvers make the most of the knowledge at their disposal. They include observations of students, indicating some typical roadblocks to success. Data taken from students before and after a series of intensive problem-solving courses document the kinds of learning that can result from carefully designed instruction. Finally, observations made in typical high school classrooms serve to indicate some of the sources of students' (often counterproductive) mathematical behavior.

Hidden Connections and Double Meanings

Download Hidden Connections and Double Meanings PDF Online Free

Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486824624
Total Pages : 177 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!


Book Synopsis Hidden Connections and Double Meanings by : David Wells

Download or read book Hidden Connections and Double Meanings written by David Wells and published by Courier Dover Publications. This book was released on 2018-07-18 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: You don't have to be a mathematician to appreciate these intriguing problems and puzzles, which focus on insight and imagination rather than technique. Includes hints and solutions.

Worked Problems in Applied Mathematics

Download Worked Problems in Applied Mathematics PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 429 pages
Book Rating : 4.:/5 (848 download)

DOWNLOAD NOW!


Book Synopsis Worked Problems in Applied Mathematics by : Nikolaĭ Nikolaevich Lebedev

Download or read book Worked Problems in Applied Mathematics written by Nikolaĭ Nikolaevich Lebedev and published by . This book was released on 1979 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exploratory Experimentation in Mathematics

Download Exploratory Experimentation in Mathematics PDF Online Free

Author :
Publisher :
ISBN 13 : 9781935638247
Total Pages : 364 pages
Book Rating : 4.6/5 (382 download)

DOWNLOAD NOW!


Book Synopsis Exploratory Experimentation in Mathematics by : David H. Bailey

Download or read book Exploratory Experimentation in Mathematics written by David H. Bailey and published by . This book was released on 2012 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download PDF Online Free

Author :
Publisher :
ISBN 13 : 0691120226
Total Pages : pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!


Book Synopsis by :

Download or read book written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Posing and Solving Mathematical Problems

Download Posing and Solving Mathematical Problems PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319280236
Total Pages : 402 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!


Book Synopsis Posing and Solving Mathematical Problems by : Patricio Felmer

Download or read book Posing and Solving Mathematical Problems written by Patricio Felmer and published by Springer. This book was released on 2016-04-29 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects recent research on posing and solving mathematical problems. Rather than treating these two crucial aspects of school mathematics as separate areas of study, the authors approach them as a unit where both areas are measured on equal grounds in relation to each other. The contributors are from a vast variety of countries and with a wide range of experience; it includes the work from many of the leading researchers in the area and an important number of young researchers. The book is divided in three parts, one directed to new research perspectives and the other two directed to teachers and students, respectively.

Exploratory Potential Methods in Geothermal Power Generation

Download Exploratory Potential Methods in Geothermal Power Generation PDF Online Free

Author :
Publisher : Springer Nature
ISBN 13 : 3031544129
Total Pages : 224 pages
Book Rating : 4.0/5 (315 download)

DOWNLOAD NOW!


Book Synopsis Exploratory Potential Methods in Geothermal Power Generation by : Willi Freeden

Download or read book Exploratory Potential Methods in Geothermal Power Generation written by Willi Freeden and published by Springer Nature. This book was released on 2024 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the geoscientific context, that arises in gravimetric/magnetometric exploration. It essentially uses mathematics as a key technology for modeling issues on the basis of analysis and interpretation according to dense and precise gravitational/magnetic measurements. It is dedicated to surface and deep geology with potential data primarily of terrestrial origin. The book spans the interdisciplinary arc from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back again. It presents the recently published pioneering and groundbreaking multiscale mollifier methodologies realizing the bridging transfer from gravitational/magnetic measurements to approximative/numerical mollifier wavelet decorrelations with novel geologic prospects and layer-structure determination as outcome. Using the specific example of the German Saarland region, new important fields of application, especially for areas with mining-related cavities, will be opened up and subjected to an in-depth geologic detection.

Math for Teachers

Download Math for Teachers PDF Online Free

Author :
Publisher :
ISBN 13 : 9780757581069
Total Pages : 752 pages
Book Rating : 4.5/5 (81 download)

DOWNLOAD NOW!


Book Synopsis Math for Teachers by : Robert G. Stein

Download or read book Math for Teachers written by Robert G. Stein and published by . This book was released on 2010-07-22 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Math for Teachers: An Exploratory Approach

Challenging Problems in Algebra

Download Challenging Problems in Algebra PDF Online Free

Author :
Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)

DOWNLOAD NOW!


Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematics for Human Flourishing

Download Mathematics for Human Flourishing PDF Online Free

Author :
Publisher : Yale University Press
ISBN 13 : 0300248814
Total Pages : 287 pages
Book Rating : 4.3/5 (2 download)

DOWNLOAD NOW!


Book Synopsis Mathematics for Human Flourishing by : Francis Su

Download or read book Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.

Exploring Mathematics

Download Exploring Mathematics PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107128986
Total Pages : 341 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!


Book Synopsis Exploring Mathematics by : John Meier

Download or read book Exploring Mathematics written by John Meier and published by Cambridge University Press. This book was released on 2017-08-07 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: With exercises and projects, Exploring Mathematics supports an active approach to the transition to upper-level theoretical math courses.