Author : Molly Blaisdell
Publisher : Capstone
Page : 14 pages
File Size : 18,60 MB
Release : 2010
Category : Juvenile Nonfiction
ISBN : 1404855114
The creative examples, simple text, and art in this series help students learn primary math concepts.
Author : Zalman Usiskin
Publisher : IAP
Page : 120 pages
File Size : 50,80 MB
Release : 2008-01-01
Category : Education
ISBN : 160752600X
This monograph reports on an analysis of a small part of the mathematics curriculum, the definitions given to quadrilaterals. This kind of research, which we call micro-curricular analysis, is often undertaken by those who create curriculum, but it is not usually done systematically and it is rarely published. Many terms in mathematics education can be found to have different definitions in mathematics books. Among these are “natural number,” “parallel lines” and “congruent triangles,” “trapezoid” and “isosceles trapezoid,” the formal definitions of the trigonometric functions and absolute value, and implicit definitions of the arithmetic operations addition, subtraction, multiplication, and division. Yet many teachers and students do not realize there is a choice of definitions for mathematical terms. And even those who realize there is a choice may not know who decides which definition of any mathematical term is better, and under what criteria. Finally, rarely are the mathematical implications of various choices discussed. As a result, many students misuse and otherwise do not understand the role of definition in mathematics. We have chosen in this monograph to examine a bit of mathematics for its definitions: the quadrilaterals. We do so because there is some disagreement in the definitions and, consequently, in the ways in which quadrilaterals are classified and relate to each other. The issues underlying these differences have engaged students, teachers, mathematics educators, and mathematicians. There have been several articles and a number of essays on the definitions and classification of quadrilaterals. But primarily we chose this specific area of definition in mathematics because it demonstrates how broad mathematical issues revolving around definitions become reflected in curricular materials. While we were undertaking this research, we found that the area of quadrilaterals supplied grist for broader and richer discussions than we had first anticipated. The intended audience includes curriculum developers, researchers, teachers, teacher trainers, and anyone interested in language and its use.
Author : Bonnie Coulter-Leech
Publisher : The Rosen Publishing Group, Inc
Page : 36 pages
File Size : 35,59 MB
Release : 2006-08-01
Category : Juvenile Nonfiction
ISBN : 9781404234963
Explains what quadrilaterals are, describes how to measure their perimeter and area, and further explores named quadrilaterals such as rectangles, kites, and rhombi.
Author : David A. Adler
Publisher : Holiday House
Page : 32 pages
File Size : 18,89 MB
Release : 2018-12-25
Category : Juvenile Nonfiction
ISBN : 0823441385
Geometry is demystified in a new addition to a popular and amusing series of math picture books from a trusted team. Comical cats and dogs guide kids through the essential characteristics of squares, rectangles, parallelograms, rhomboids, and other quadrilaterals. Angles and degrees are explained in words and useful visuals. Kids will get a handle on geometric vocabulary and can try out plenty of hands-on activities that will help reinforce the concepts. A glossary is included.
Author : Claudi Alsina
Publisher : American Mathematical Soc.
Page : 304 pages
File Size : 38,93 MB
Release : 2020-02-10
Category : Education
ISBN : 1470453126
A Cornucopia of Quadrilaterals collects and organizes hundreds of beautiful and surprising results about four-sided figures—for example, that the midpoints of the sides of any quadrilateral are the vertices of a parallelogram, or that in a convex quadrilateral (not a parallelogram) the line through the midpoints of the diagonals (the Newton line) is equidistant from opposite vertices, or that, if your quadrilateral has an inscribed circle, its center lies on the Newton line. There are results dating back to Euclid: the side-lengths of a pentagon, a hexagon, and a decagon inscribed in a circle can be assembled into a right triangle (the proof uses a quadrilateral and circumscribing circle); and results dating to Erdős: from any point in a triangle the sum of the distances to the vertices is at least twice as large as the sum of the distances to the sides. The book is suitable for serious study, but it equally rewards the reader who dips in randomly. It contains hundreds of challenging four-sided problems. Instructors of number theory, combinatorics, analysis, and geometry will find examples and problems to enrich their courses. The authors have carefully and skillfully organized the presentation into a variety of themes so the chapters flow seamlessly in a coherent narrative journey through the landscape of quadrilaterals. The authors' exposition is beautifully clear and compelling and is accessible to anyone with a high school background in geometry.
Author : Alan Horwitz
Publisher : CRC Press
Page : 147 pages
File Size : 42,31 MB
Release : 2024-05-29
Category : Mathematics
ISBN : 1040027741
The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals. In particular, the author proves that there is a unique ellipse of maximal area, EA, and a unique ellipse of minimal eccentricity, EI, inscribed in Q. Similar results are also proven for ellipses passing through the vertices of a convex quadrilateral along with some comparisons with inscribed ellipses. Special results are also given for parallelograms. Researchers in geometry and applied mathematics will find this unique book of interest. Software developers, image processors along with geometers, mathematicians, and statisticians will be very interested in this treatment of the subject of inscribing and circumscribing ellipses with the comprehensive treatment here. Most of the results in this book were proven by the author in several papers listed in the references at the end. This book gathers results in a unified treatment of the topics while also shortening and simplifying many of the proofs. This book also contains a separate section on algorithms for finding ellipses of maximal area or of minimal eccentricity inscribed in, or circumscribed about, a given quadrilateral and for certain other topics treated in this book. Anyone who has taken calculus and linear algebra and who has a basic understanding of ellipses will find it accessible.
Author : Nicolas Papamichael
Publisher : World Scientific
Page : 242 pages
File Size : 19,71 MB
Release : 2010-05-31
Category : Mathematics
ISBN : 9814466387
This is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle. It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications.The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping. The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments.This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.
Author : Rex L. Baum
Publisher :
Page : 36 pages
File Size : 40,21 MB
Release : 1988
Category : Landslides
ISBN :
Author : Bright Tutee
Publisher : Bright Tutee
Page : 10 pages
File Size : 48,99 MB
Release : 2020-03-16
Category : Education
ISBN :
Chapter-wise NCERT solutions for 'Quadrilaterals' help you to get better in this chapter, and score more in the exams. You learn about the concepts and solve textbook questions, and along the way, you get better with 'Quadrilaterals.' Our team of professionals has designed these NCERT Solutions for chapter 8 that talks about 'Quadrilaterals.' The solutions are based on the latest course of study of NCERT books and follow the guidelines set by CBSE board. Above all, they are available in Ebook and are free to download. In 'Quadrilaterals,' a student learns about the 'Angle Sum Property of a Quadrilateral.' The student also learns about the various types of quadrilaterals such as square and parallelogram, properties of a parallelogram. The midpoint theorem and its converse are also discussed in the chapter. To benefit even the most economically disadvantaged students, we, at Bright Tutee, provide our NCERT solutions for free. You can download them in Ebook on any device o your choice. So, what are you waiting for? Immediately download the complete solution book of NCERT Chapter 8 Quadrilaterals of Class 9. Download Book of NCERT Solutions for Class 9 Maths Chapter 8 Quadrilaterals About Bright Tutee: Bright Tutee is a leading e-learning provider that creates amazing video lessons for class 9th and 10th students. We understand the challenges that students face with Mathematics. To empower the students and help them fall in love with Mathematics, we put together a world-class Maths video course for class 9th students. In this video-course, our experienced Maths teachers help you understand the different concepts and chapters by giving you real-life examples that can help you understand a problem and how it's solved. In addition, we also provide our students with extensive assessment and exam preparation materials as well so they can study better and score more marks.
Author : Janice Wendling
Publisher : Milliken Publishing Company
Page : 17 pages
File Size : 46,2 MB
Release : 1995-09-01
Category : Education
ISBN : 0787728438
This packet serves as an introduction to triangles and quadrilaterals, along with examples and exercises for practice. All concepts are explained in an easy-to-understand fashion to help students grasp geometry and form a solid foundation for advanced learning in mathematics. Each page introduces a new concept, along with a puzzle or riddle which reveals a fun fact. Thought-provoking exercises encourage students to enjoy working the pages while gaining valuable practice in geometry.
