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Visual Mathematics Series Elementary Math Problems
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Book Synopsis Visual Mathematics Series: Elementary Math Problems by : Kiran R. Desai, Ph.d.
Download or read book Visual Mathematics Series: Elementary Math Problems written by Kiran R. Desai, Ph.d. and published by Createspace Independent Pub. This book was released on 2011-06-22 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving the problems in this book will help demonstrate mastery of the mathematical concepts taught in elementary school. They are represented in a visually engaging manner in order to make mathematics more fun and interesting. More emphasis is paid to problem solving abilities rather than the usual mathematics grind. A visual approach should help bring a learner one step closer to developing the ability to solve real world problems.Problems presented in this book include:• Finding the sum of consecutive numbers: sequential, odd, even, or constant distance• Visual representation of single variable algebra• Visual depictions for mathematical laws of associativity/commutativity/distributivity• Visual partitioning of numbers based on factorization• Mathematical constraint based addition/subtraction/multiplication• Identification of regular patterns to simplify multiplication of fractions in a long series• Computing statistical median and mean under visual representation of data• Determining area of interesting shapes based on visual information• Graphical charts: pie, bar, stacked, sorted, and doughnut• Mathematical puzzles based on various mathematical constraints• Multiply and add/subtract calculations for consecutive numbers (A.x + B.y)• Determining volume of solid objects depicted using two dimensional views• Determining probability of an event tied to object shape/color/geometric properties• Enumerating number of distinct ways for partitioning addition terms
Download or read book Eyes on Math written by Marian Small and published by Teachers College Press. This book was released on 2015-04-25 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book is an exciting follow-up to the authors’ bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math! For each of more than 120 visuals, the text identifies the key math concept and the Common Core State Standard being addressed and then provides teachers with: Mathematical background and context.Questions to use with students to lead the instructional conversation.Expected answers and explanations of why each question is important.Follow-up extensions to solidify and assess student understanding. This book will be useful to a broad range of teachers who will find new ways to clarify concepts that students find difficult. It can be used as a resource to prepare teachers for the higher mathematical thinking requirements of the CCSS Mathematical Practices. It will also be an invaluable resource for teachers working with students with low reading ability, including English language learners and special education students. “This book provides a way for both teachers and students to get used to talking about mathematics in nonthreatening, open-ended ways. The author’s friendly explanations of the mathematical ideas the pictures are intended to surface give teachers who are less confident about the conceptual aspects of mathematics the support they need to facilitate less-scripted mathematical discourse with their students.” —Lucy West, education consultant Praise for Good Questions and More Good Questions! “A must for any educator who is serious about reaching more students more often and achieving more positive results.” —Resources for the Mathematics Educator “A valuable book for mathematics teachers, teacher educators, and faculty involved in differentiated instruction.” —Choice “A great resource.” —Mathematics Teaching in the Middle School “I highly recommend this user-friendly resource for all mathematics teachers.” —Teaching Children Mathematics
Book Synopsis Grade Three Math Problems by : Kiran Desai
Download or read book Grade Three Math Problems written by Kiran Desai and published by . This book was released on 2013-08-09 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of the visual mathematics series. All the problems are represented in a visual manner and in full color. The topics covered include addition-subtraction and multiplication-division facts. But these problems are presented as distributed or interconnected grid problems. The book has been divided into three sections. The first section provides solved examples for a small set of problems. The second section largely does not include any problems based on deduction. The third section includes the same class of problems as the earlier section, but includes some cases that require deduction. It also requires using ideas about inverse relations. Problems described as addition (multiplication) require subtraction (division) when one of the operands is unknown while the result is known. As a result, they are meant to be a little more difficult set of problems.This book has been developed as a result of feedback for earlier books in the Visual Mathematics Series, suggesting an entry level book to introduce the visual problem sets. The problems in the book are designed based on the Elementary and Pre-Algebra book, but the problems have been largely simplified to focus on addition-multiplication facts, with a minimum of reasoning problems. They have been designed to use a variety of pictorial representations (with descriptions). The book also has problems designed around multiple arithmetic series. These problems are designed to illustrate special properties of fixed-distance number series. Finally, this book is suggested for students in third grade. The math problems in this book are of medium difficulty and they should be suitable for all students, in addition to visual learners.
Book Synopsis Intermediate Algebra Problems by : Kiran R. Desai, Ph.d.
Download or read book Intermediate Algebra Problems written by Kiran R. Desai, Ph.d. and published by Createspace Independent Publishing Platform. This book was released on 2011-11-30 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Visual Mathematics Series by : Kiran Desai
Download or read book Visual Mathematics Series written by Kiran Desai and published by Createspace Independent Publishing Platform. This book was released on 2011-08-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Grade Four Math Problems by : Kiran Desai
Download or read book Grade Four Math Problems written by Kiran Desai and published by . This book was released on 2013-08-09 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is part of the visual mathematics series. All the problems are represented in a visual manner and in full color. The topics covered include addition-subtraction and multiplication-division facts. But these problems are presented as distributed or interconnected grid problems. The book has been divided into three sections. The first section provides solved examples for a small set of problems. The next section includes addition-multiplication problems that require deduction and reasoning skills. The third section includes the same class of problems as the earlier section, but are meant to be more difficult. Sections two and three require using ideas about inverse relations. Problems described as addition (multiplication) require subtraction (division) when one of the operands is unknown while the result is known.This book has been developed as a result of feedback for earlier books in the Visual Mathematics Series, suggesting an entry level book to introduce the visual problem sets. The problems in the book are designed based on the Elementary and Pre-Algebra book, but the problems have been simplified a little to focus on addition-multiplication facts, while introducing reasoning problems of medium difficulty. It also has problems designed around multiple arithmetic series, with various pictorial representations.This book is suggested for students in fourth grade. The problems in this book are of medium to medium-high difficulty and they should be suitable for all students, in addition to visual learners.
Book Synopsis Intermediate Visual Mathematics by : Kiran Desai
Download or read book Intermediate Visual Mathematics written by Kiran Desai and published by Createspace Independent Publishing Platform. This book was released on 2013-05-24 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Intermediate Geometry Problems by : Kiran R. Desai, Ph.d.
Download or read book Intermediate Geometry Problems written by Kiran R. Desai, Ph.d. and published by Createspace Independent Publishing Platform. This book was released on 2011-11-30 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Visual Math written by Jessika Sobanski and published by Learning Express (NY). This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Visual Math has been designed to allow learners to "see" why math makes sense. By combining logical math concepts with pictures, previously unclear images will fade and math will suddenly click for you. Pictures, graphs, and diagrams help you understand math questions in the areas of number concepts and properties, fractions and decimals, ratios and proportions, percents, algebra, geometry, and much more. Designed especially for students who have difficulty with conventional math rules, this book gives you step-by step instructions with pictures to help you solve math problems.
Download or read book Eyes on Math written by Marian Small and published by Teachers College Press. This book was released on 2012-12-30 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new book is an exciting follow-up to the authors bestsellers on differentiated math instruction, Good Questions and More Good Questions. Eyes on Math is a unique teaching resource that provides engaging, full-color graphics and pictures with text showing teachers how to use each image to stimulate mathematical teaching conversations around key K–8 concepts. Teachers using the book can download the images for projection onto classroom white boards or screens. The questions and answers will help both students and teachers look more deeply and see the math behind the math!
Book Synopsis Math and Art by : Sasho Kalajdzievski
Download or read book Math and Art written by Sasho Kalajdzievski and published by CRC Press. This book was released on 2011-04-28 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. With downloadable resources and a 16-page full-color insert, it includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire art. Basic Math Topics and Their Visual Aspects 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. Comprehensive Material for a Math in Art Course Providing all of the material for a complete one-semester course on mathematics in art, this self-contained text shows how artistic practice with mathematics and a comprehension of mathematical concepts are needed to logically and creatively appreciate the field of mathematics.
Book Synopsis Visual Mathematics, Illustrated by the TI-92 and the TI-89 by : George C. Dorner
Download or read book Visual Mathematics, Illustrated by the TI-92 and the TI-89 written by George C. Dorner and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Visualizing Elementary and Middle School Mathematics Methods by : Joan Cohen Jones
Download or read book Visualizing Elementary and Middle School Mathematics Methods written by Joan Cohen Jones and published by Wiley Global Education. This book was released on 2011-11-15 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of Visualizing Elementary and Middle School Mathematics Methods is to teach mathematics in a way that excites and motivates readers, with an accessible format that serves as an introduction to the teaching of mathematics. This text, in partnership with National Geographic, is designed to present mathematics content and pedagogy in a fresh new way. This unique approach, while maintaining necessary rigor, provides the opportunity to set aside previous beliefs about mathematics and to learn concepts and pedagogy from a new perspective. The structure of Visualizing Elementary and Middle School Mathematics Methods is similar to the format of other methods texts, however, it has many unique features that are designed to be engaging and make the text relevant for readers. It begins with a brief summary of the history of mathematics. Diversity is integrated into the content of every chapter, through Multicultural Perspectives in Mathematics. Several chapters include Virtual Classroom Observation Videos.
Book Synopsis Vision in Elementary Mathematics by : W. W. Sawyer
Download or read book Vision in Elementary Mathematics written by W. W. Sawyer and published by Courier Corporation. This book was released on 2003-01-01 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the title suggests, this technique employs visual elements in its exploration of the most graphic and least "forbidding" aspects of mathematics. The author observes that most people possess a direct vision that permits them to "see" only the smaller numbers. In addressing this difficulty, both for those who like recreational mathematics and for those who teach, he suggests a variety of methods: techniques of visualizing, dramatizing, and analyzing numbers that attract and retain the attention and understanding. Topics range from basic multiplication and division to algebra, encompassing word problems, graphs, negative numbers, fractions, and many other practical applications of elementary mathematics. 1964 ed. Answers to Problems.
Book Synopsis Mathematical Mindsets by : Jo Boaler
Download or read book Mathematical Mindsets written by Jo Boaler and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
Book Synopsis Math ProblemSolving Workbook Book 1 by : Morey
Download or read book Math ProblemSolving Workbook Book 1 written by Morey and published by NewPath Learning. This book was released on 2007-01-01 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students are introduced to a strategy and then guided through a "scaffolding" approach to eventual mastery. The activities are divided into seven strategybased sections: guess and check; draw a diagram; logical reasoning; make a list; find a pattern; work backwards; and solve an easier version.
Book Synopsis Cognitive Foundations for Improving Mathematical Learning by : David C. Geary
Download or read book Cognitive Foundations for Improving Mathematical Learning written by David C. Geary and published by Academic Press. This book was released on 2019-01-03 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fifth volume in the Mathematical Cognition and Learning series focuses on informal learning environments and other parental influences on numerical cognitive development and formal instructional interventions for improving mathematics learning and performance. The chapters cover the use of numerical play and games for improving foundational number knowledge as well as school math performance, the link between early math abilities and the approximate number system, and how families can help improve the early development of math skills. The book goes on to examine learning trajectories in early mathematics, the role of mathematical language in acquiring numeracy skills, evidence-based assessments of early math skills, approaches for intensifying early mathematics interventions, the use of analogies in mathematics instruction, schema-based diagrams for teaching ratios and proportions, the role of cognitive processes in treating mathematical learning difficulties, and addresses issues associated with intervention fadeout. Identifies the relative influence of school and family on math learning Discusses the efficacy of numerical play for improvement in math Features learning trajectories in math Examines the role of math language in numeracy skills Includes assessments of math skills Explores the role of cognition in treating math-based learning difficulties
