Intermediate Visual Mathematics
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Intermediate Visual Mathematics
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Author : Kiran Desai
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2013-05-24
Intermediate Visual Mathematics written by Kiran Desai and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-24 with Mathematics categories.
One cannot be an expert in Autonomous Vehicle Navigation Systems without a proper understanding of the preliminary visual concepts being covered in this book. It is a COMPENDIUM of the intermediate level books in the Visual Mathematics Series. They cover topics of - Elementary (introductory solved visual problems) - Pre-algebra - Geometry - AlgebraThis book intends to test the mathematical concepts taught in intermediate school with an emphasis on the visual skills. The problems are based on middle school curriculum but they are meant to be challenging, and meant for visual learners and high achievers. The use of diagrams and color coding scheme allows enhancing the description of the problems presented in this book and to lead the problem solver towards the solution.The problems presented in this book are in FULL COLOR and they create a visual dimension to the underlying mathematical concepts. It intends to appeal to both sides of the brain - the left and the right. It requires understanding the problem presented in a visual manner, but requires solving the problems using a combination of visual insight and mathematical discipline.This book provides a wide variety of problems, albeit a very limited number of each type. The main goal is to maintain the student's interest. The first eighteen pages include solved examples of visual math problems and should provide the necessary background. Many of the problems in the Pre-Algebra section will remind you of logic based grid puzzles, but the problems in this book have a variety of graph as well as grid representations. The problems in the Geometry section require thinking in relative terms and many of the problems have a certain artistic flavor. The algebra section is also about geometry problems that require algebraic problem solving.
Intermediate Geometry Problems
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Author : Kiran R. Desai, Ph.d.
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2011-11-30
Intermediate Geometry Problems written by Kiran R. Desai, Ph.d. and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
The problems in this book are suggested for evaluating the concepts taught in the intermediate geometry class. The problems are of a highly visual nature and meant to be challenging. The problems are designed to lead to a merging of geometry and art at the middle school level.The problems presented in this book include:* Visual problems to determine area of various iterative polygon based shapes* Visual representation of solid objects to determine their volume* Visual medley of circles, squares, and triangles to determine their relationships* Determining properties of angles, triangles, square, and rhombus * Visual problems for determining equivalence of geometric properties of polygonal shapes* Determination of area of objects using reference objects as basic elements* Visual representations of lines and triangles to solve problems based on equations* Identifying intersection points for an underlying visual diagram* Application of Pythagorean Theorem to problems represented visually* Applications of factorization and LCM to problems on area and volume* Changes to area of triangles based on various construction techniques* Inferences for area or angle measures of unknown elements in constructed diagramsAlso available at CreateSpace eStore: https://www.createspace.com/3623925
Visual Mathematics Series
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Author : Kiran Desai
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2011-08-29
Visual Mathematics Series written by Kiran Desai and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-29 with categories.
The problems in this book are suggested for Intermediate Level students in grades 6 and 7. All the problems are presented in a visual manner in order to keep it fun and interesting.The problems presented in this book include:* Reinforcing mathematical concepts based on shape and color* Mathematics puzzle style problems related to addition-subtraction facts* Mathematics puzzle style problems related to multiplication-division facts* Partitioning of squared numbers as a summation of series* Visual representations for factorization problems* Determination of averages based on identifying patterns in a data set* Combining distributed multiplication terms to get larger factors* Visual representation of least common multiple (LCM) problems* Generalization of concept of LCM to the fractions domain* Visual problems based on laws of distributivity, associativity, and commutativity* Problems related to volume and area based on 2D views of solid objects* Visual mathematical problems to improve deduction skills* Graph representations for simple and compound interest and their inter-relationship* Introduction to equations, right triangles, and intersection of lines* Solving algebra number problems represented pictoriallyAlso available at CreateSpace eStore: https://www.createspace.com/3618457
Intermediate Algebra Problems
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Author : Kiran R. Desai, Ph.d.
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2011-11-30
Intermediate Algebra Problems written by Kiran R. Desai, Ph.d. and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-30 with Mathematics categories.
The problems in this book are suggested for Intermediate Level students in grades 7 and 8. All the problems are presented in full color and in a visual manner in order to keep it fun and interesting. They are meant to be challenging and reinforce problem solving for algebra problems.The problems presented in this book include:* Reinforcing algebra concepts based on color, visuals, and diagrams* Visual representation of problems for one variable algebra* Visual charts and related equations* Visual problems based on linear equations for lines and triangles* Determining area of objects constructed from circles, squares, and triangles* Two variable algebra problems depicted pictorially* Introduction to three and four variable algebra* Multiple visual representations for single and two variable algebra problems* Pictorial representations for polynomial addition and multiplication* Visual depictions of quadratic equations* Visual solutions to various algebraic summation problems* Algebra problems related to area and volume* Visual mathematical problems to improve deduction skills using algebraAlso available at CreateSpace eStore: https://www.createspace.com/3682162
Mathematics For Intermediate Teachers
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Author : Ann Kajander
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2023-01-12
Mathematics For Intermediate Teachers written by Ann Kajander and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-12 with Education categories.
This mathematics book is written for teachers, both prospective and practicing. It is suitable for those less comfortable with mathematics, as well as those who already have a stronger mathematical background. Research shows that knowledge of traditional, formula-based approaches is not enough for effective conceptual classroom teaching. In this book, teachers will learn the reasoning behind the methods, developed in ways that will also make sense to intermediate and early secondary students. Many ideas and activities introduced here are directly transferable to classroom use, while concepts are developed using visual models and representations, manipulatives, reasoning, and with deep connections to other concepts. These methods support better thinking, learning, and understanding for all students. In addition, these visual and active approaches are also much better aligned with Indigenous ways of thinking and knowing, a critical benefit for societies striving for decolonization.
Visual Mathematics Lessons 16 30
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Author : Linda Cooper Foreman
language : en
Publisher:
Release Date : 1995
Visual Mathematics Lessons 16 30 written by Linda Cooper Foreman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Visual Mathematics Illustrated By The Ti 92 And The Ti 89
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Author : George C. Dorner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Visual Mathematics Illustrated By The Ti 92 And The Ti 89 written by George C. Dorner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.
The aim of this book is to present basic and advanced mathematical concepts using the graphical and traditional calculator, the TI 92 and the TI 89. These mathematical concepts are commonly taught at some stage of the first three years of college curricula; Analysis (approximations, convergence, differential equations, etc.) Linear Algebra (orthogonality, reduction, etc.). The idea behind this book is totally original and will teach the reader not only all the necessary theorems and examples, but illustrations of the calculator screens and the programs (short versions) will allow the reader to visualize these new concepts directly from the book, or on the calculator, leading to a better understanding through "seeing" and "touching" the mathematical lesson being taught.
Math And Art
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Author : Sasho Kalajdzievski
language : en
Publisher: CRC Press
Release Date : 2021-09-26
Math And Art written by Sasho Kalajdzievski and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-26 with Mathematics categories.
Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art. Focusing on accessible, visually interesting, and mathematically relevant topics, the text unifies mathematics subjects through their visual and conceptual beauty. Sequentially organized according to mathematical maturity level, each chapter covers a cross section of mathematics, from fundamental Euclidean geometry, tilings, and fractals to hyperbolic geometry, platonic solids, and topology. For art students, the book stresses an understanding of the mathematical background of relatively complicated yet intriguing visual objects. For science students, it presents various elegant mathematical theories and notions. Features Provides an accessible introduction to mathematics in art Supports the narrative with a self-contained mathematical theory, with complete proofs of the main results (including the classification theorem for similarities) Presents hundreds of figures, illustrations, computer-generated graphics, designs, photographs, and art reproductions, mainly presented in full color Includes 21 projects and approximately 280 exercises, about half of which are fully solved Covers Euclidean geometry, golden section, Fibonacci numbers, symmetries, tilings, similarities, fractals, cellular automata, inversion, hyperbolic geometry, perspective drawing, Platonic and Archimedean solids, and topology New to the Second Edition New exercises, projects and artworks Revised, reorganized and expanded chapters More use of color throughout
Toward A Visually Oriented School Mathematics Curriculum
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Author : Ferdinand Rivera
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-06
Toward A Visually Oriented School Mathematics Curriculum written by Ferdinand Rivera and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-06 with Education categories.
What does it mean to have a visual representation of a mathematical object, concept, or process? What visualization strategies support growth in mathematical thinking, reasoning, generalization, and knowledge? Is mathematical seeing culture-free? How can information drawn from studies in blind subjects help us understand the significance of a multimodal approach to learning mathematics? Toward a Visually-Oriented School Mathematics Curriculum explores a unified theory of visualization in school mathematical learning via the notion of progressive modeling. Based on the author’s longitudinal research investigations in elementary and middle school classrooms, the book provides a compelling empirical account of ways in which instruction can effectively orchestrate the transition from personally-constructed visuals, both externally-drawn and internally-derived, into more structured visual representations within the context of a socioculturally grounded mathematical activity. Both for teachers and researchers, a discussion of this topic is relevant in the history of the present. The ubiquity of technological tools and virtual spaces for learning and doing mathematics has aroused interest among concerned stakeholders about the role of mathematics in these contexts. The book begins with a prolegomenon on the author’s reflections on past and present visual studies in mathematics education. In the remaining seven chapters, visualization is pursued in terms of its role in bringing about progressions in mathematical symbolization, abduction, pattern generalization, and diagrammatization. Toward a Visually-Oriented School Mathematics Curriculum views issues surrounding visualization through the eyes of a classroom teacher-researcher; it draws on findings within and outside of mathematics education that help practitioners and scholars gain a better understanding of what it means to pleasurably experience the symmetric visual/symbolic reversal phenomenon – that is, seeing the visual in the symbolic and the symbolic in the visual."
Visual Thinking In Mathematics
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Author : Marcus Giaquinto
language : en
Publisher: Clarendon Press
Release Date : 2007-07-05
Visual Thinking In Mathematics written by Marcus Giaquinto and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-05 with Philosophy categories.
Visual thinking - visual imagination or perception of diagrams and symbol arrays, and mental operations on them - is omnipresent in mathematics. Is this visual thinking merely a psychological aid, facilitating grasp of what is gathered by other means? Or does it also have epistemological functions, as a means of discovery, understanding, and even proof? By examining the many kinds of visual representation in mathematics and the diverse ways in which they are used, Marcus Giaquintoargues that visual thinking in mathematics is rarely just a superfluous aid; it usually has epistemological value, often as a means of discovery. Drawing from philosophical work on the nature of concepts and from empirical studies of visual perception, mental imagery, and numerical cognition,Giaquinto explores a major source of our grasp of mathematics, using examples from basic geometry, arithmetic, algebra, and real analysis. He shows how we can discern abstract general truths by means of specific images, how synthetic a priori knowledge is possible, and how visual means can help us grasp abstract structures.Visual Thinking in Mathematics reopens the investigation of earlier thinkers from Plato to Kant into the nature and epistemology of an individual's basic mathematical beliefs and abilities, in the new light shed by the maturing cognitive sciences. Clear and concise throughout, it will appeal to scholars and students of philosophy, mathematics, and psychology, as well as anyone with an interest in mathematical thinking.