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Author: Kiran R. Desai, Ph.d. Publisher: Createspace Independent Publishing Platform ISBN: 9781463552367 Category : Mathematics Languages : en Pages : 58
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: Kiran R. Desai, Ph.d. Publisher: Createspace Independent Publishing Platform ISBN: 9781463552367 Category : Mathematics Languages : en Pages : 58
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: Alfred S. Posamentier Publisher: Courier Corporation ISBN: 0486134865 Category : Mathematics Languages : en Pages : 275
Book Description
Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.
Author: M. N. Aref Publisher: Courier Corporation ISBN: 0486477207 Category : Mathematics Languages : en Pages : 274
Book Description
Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition.
Author: Evan Chen Publisher: American Mathematical Soc. ISBN: 1470466201 Category : Education Languages : en Pages : 311
Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.
Author: Benjamin Bold Publisher: Courier Corporation ISBN: 0486137635 Category : Science Languages : en Pages : 144
Book Description
Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
Author: Robert Kaplinsky Publisher: Taylor & Francis ISBN: 1003839886 Category : Education Languages : en Pages : 193
Book Description
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Author: Titu Andreescu Publisher: ISBN: 9780988562226 Category : Geometry Languages : en Pages : 0
Book Description
This book represents a collection of carefully selected geometry problems designed for passionate geometers and students preparing for the IMO. Assuming the theory and the techniques presented in the first two geometry books published by XYZ Press, 106 Geometry Problems from the AwesomeMath Summer Program and 107 Problems from the AwesomeMath Year-Round Program, this book presents a multitude of beautiful synthetic solutions that are meant to give a sense of how one should think about difficult geometry problems. On average, each problem comes with at least two such solutions and with additional remarks about the underlying configuration.
Author: Kiran R. Desai, Ph.d.
Author: Kiran R. Desai, Ph.d.
Author: Alfred S. Posamentier
Author: 
Author: Richard Rusczyk
Author: M. N. Aref
Author: Evan Chen
Author: Alexandre Leighton
Author: Benjamin Bold
Author: Robert Kaplinsky
Author: Titu Andreescu