Author: Kiran Desai
Publisher: Createspace Independent Publishing Platform
ISBN: 9781484927557
Category : Mathematics
Languages : en
Pages : 200
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Book Description
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.
Author: Kiran Desai
Publisher: Createspace Independent Publishing Platform
ISBN: 9781463519285
Category :
Languages : en
Pages : 0
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Book Description
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
Author: Kiran R. Desai, Ph.d.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781466290785
Category : Mathematics
Languages : en
Pages : 58
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Book Description
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
Author: Kiran R. Desai, Ph.d.
Publisher: Createspace Independent Publishing Platform
ISBN: 9781463552367
Category : Mathematics
Languages : en
Pages : 58
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Book Description
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
Author: Joan Cohen Jones
Publisher: Wiley Global Education
ISBN: 1118213351
Category : Education
Languages : en
Pages : 546
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Book Description
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.
Author: Jo Boaler
Publisher: John Wiley & Sons
ISBN: 1118418271
Category : Education
Languages : en
Pages : 311
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Book Description
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.
Author: Ann Kajander
Publisher: Cambridge Scholars Publishing
ISBN: 1527590917
Category : Education
Languages : en
Pages : 175
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Book Description
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.
Author: Gary K. Rockswold
Publisher: Addison-Wesley Longman
ISBN: 9780321158925
Category : Algebra
Languages : en
Pages : 0
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Book Description
Intermediate Algebra with Applications and Visualization, Second Edition, offers an innovative approach to the intermediate algebra curriculum that allows students to gain both skills and understanding. This text not only prepares students for future mathematics courses, but it also demonstrates to students the relevance of mathematics. The early introduction of functions and graphs allows the instructor to use applications and visualization to present mathematical topics. Real data, graphs, and tables play an important role in the course, giving meaning to the numbers and equations that students encounter. This approach increases student interest, motivation, and the likelihood for success. Many students think in visual, concrete terms and not abstractly. This text helps students learn mathematics better by moving from the concrete to the abstract. It makes use of the Rule of Four (verbal, graphical, numerical, and symbolic), applications, visualization, and technology.
Author: Kiran Desai
Publisher: CreateSpace
ISBN: 9781494794026
Category :
Languages : en
Pages : 50
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Book Description
The problems in this book are based on addition circuits. However, the problems have been designed to be about deduction rather than simple addition. The highly interconnected addition circuit problems from the second grade addition book have been presented as deduction problems. The difficulty level for these problems are much higher and meant for students in Middle School, while taking courses on Pre-algebra. All the problems are presented in a visual manner, using interconnected circuits. These circuits introduce notions of adding in series as well as parallel. The problems also require ability to order the sequence of additions among the circuit nodes. Such problems can help develop visual and spatial skills. Many of the problems in this book are circuit representations for generating algebraic functions such as [n!], n DEGREES2, n DEGREES3, 2 DEGREESn, and so on. Although intimidating at first sight, these problems can be solved by forming systems of linear equations. The problems in this book have been limited to single variable expressions. The deduction problems have a simple format. The final or intermediate values based on addition of intermediate circuit nodes are provided for each problem. The goal is to find all the values based on addition of the inputs. A few solved examples using algebraic expressions are provided in the beginning for illustration purposes. These problems can also be solved visual
Author: Gary K. Rockswold
Publisher: Pearson
ISBN: 9780134175898
Category : Mathematics
Languages : en
Pages : 1088
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Book Description
The Rockswold/Krieger algebra series fosters conceptual understanding by using relevant applications and visualization to show students why math matters. It answers the common question "When will I ever use this?" Rockswold teaches students the math in context, rather than including the applications at the end of the presentation. By seamlessly integrating meaningful applications that include real data and supporting visuals (graphs, tables, charts, colors, and diagrams), students are able to see how math impacts their lives as they learn the concepts. The authors use this approach to deepen conceptual understanding and better prepare students for future math courses and life. The Conceptual MyMathLab Update Users of Rockswold/Krieger's Beginning and Intermediate Algebra with Applications & Visualization, Third Edition love the integration of applications and visualization to help students gain a greater conceptual understanding; however, they've requested more of this integration in the accompanying MyMathLab courses. As a result, we bring you a new Conceptual MyMathLab Update-the textbook is unchanged, but we've added these conceptually focused updates to the MyMathLab course: Increased MyMathLab Coverage with more Assignable Application Exercises and new Assignable Exercise Types tofoster conceptual understanding See the Concept Videos A Learning Path in the Ready to Go courses Learning Catalytics questions written by the authors For more details, check out the new to the edition page. With this updated MyMathLab course instructors will now be able to deliver a conceptually based program, with the textbook and MyMathLab course working hand-in-hand.
