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Author: Francis Gardella Publisher: IAP ISBN: 1648029345 Category : Education Languages : en Pages : 163
Book Description
Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called ‘DoNows,’ there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.
Author: Francis Gardella Publisher: IAP ISBN: 1648029345 Category : Education Languages : en Pages : 163
Book Description
Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called ‘DoNows,’ there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.
Author: Henri Picciotto Publisher: Henri Picciotto ISBN: Category : Geometry Languages : en Pages : 266
Book Description
Geometry Labs is a book of hands-on activities that use manipulatives to teach important ideas in geometry. These 78 activities have enough depth to provide excellent opportunities for discussion and reflection in both middle school and high school classrooms.
Author: Francis Gardella Publisher: ISBN: 9781648029325 Category : Languages : en Pages : 162
Book Description
Much of the content that students study in a high school geometry course is totally new to them. The middle school mathematics curriculum does not contain preparatory work for many of these topics as it does in preparing students for the study of Algebra. The proposed text would be a landmark book giving students the ability to gain some understanding of the content before it is formally addressed in the lesson in the course. While many teachers use initial classroom activities called 'DoNows, ' there are no structured materials available to teachers of Geometry for this purpose. When teachers do use them, these activities are constructed by the teachers. The text provides the teachers with such materials and is structured to address what the teachers are about to present to the students. The Labs can also be used for exploration of topics at the middle school level enhancing the program there and giving students a better preparation for their high school Geometry program.
Author: Maureen T. Carroll Publisher: American Mathematical Soc. ISBN: 1470448432 Category : Mathematics Languages : en Pages : 502
Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.
Author: Francis J. Gardella Publisher: Routledge ISBN: 1135890919 Category : Education Languages : en Pages : 166
Book Description
This exciting text for the pre-service elementary teacher provides hands on mathematics lessons they can use to introduce mathematical concepts and skills that students find particularly challenging. Each chapter is divided into four sections: The Activity employs an engaging thought experiment to help the reader "visit a classroom" to understand how the lesson used to introduce the concept or skill would materialize in the class. The Mathematics provides the necessary mathematical background used in the lesson to make the actual teaching/learning situation comfortable for both the teachers and the learner. The Plan provides the reader with an actual lesson plan to engage the Activity in the classroom setting. Putting It All Together pulls the previous sections together with a summary of the chapter as well as further information for making the lesson successful. By providing models of what excellent lessons on a given topic look like, knowledge of the mathematics involved, and a concrete lesson plan structure this much-needed resource is the definitive mathematics planning vehicle that every teacher will want before they set foot in their own elementary classroom.
Author: John T. Salinas Publisher: Morton Publishing Company ISBN: 1617317543 Category : Science Languages : en Pages : 611
Book Description
This full-color manual is designed to satisfy the content needs of either a one- or two-semester introduction to physical science course populated by nonmajors. It provides students with the opportunity to explore and make sense of the world around them, to develop their skills and knowledge, and to learn to think like scientists. The material is written in an accessible way, providing clearly written procedures, a wide variety of exercises from which instructors can choose, and real-world examples that keep the content engaging. Exploring Physical Science in the Laboratory guides students through the mysteries of the observable world and helps them develop a clear understanding of challenging concepts.
Author: Alan Michette Publisher: Royal Society of Chemistry ISBN: 1849734569 Category : Science Languages : en Pages : 468
Book Description
Our ability to manipulate short wavelength radiation (0.01-100nm, equivalent to 120keV-12eV) has increased significantly over the last three decades. This has lead to major advances in applications in a wide range of disciplines such as: the life and medical sciences, including cancer-related studies; environmental science, including studies of pollution and its effects; archaeology and other cultural heritage disciplines; and materials science. Although expansion in application areas is due largely to modern synchrotron sources, many applications will not become widespread, and therefore routinely available as analytical tools, if they are confined to synchrotrons. This is because synchrotrons require enormous capital and infrastructure costs and are often, of necessity, national or international facilities. This seriously limits their scope for applications in research and analysis, in both academia and industry. How many universities, research institutes or even industrial laboratories would have electron microscopes if electron sources cost ú100M or more Hence the need to develop bright but small and (relatively) cheap x-ray sources, not to replace synchrotrons but to complement them. Written by a distinguished team of international authors this exemplary new handbook is based on the COST Action MP0601: Short Wavelength Laboratory Sources. The contents are divided into five main sections. The introductory section provides a comprehensive introduction to the fundamentals of radiation, generation mechanisms and short wavelength laboratory sources. The middle sections focus on modelling and simulation, source development: improvement and characterisation and integrated systems: sources, optics and detectors. The final section looks at recent applications.
Author: American Mathematical Society. Short Course, Discrete Differential Geometry Publisher: American Mathematical Soc. ISBN: 1470446626 Category : Education Languages : en Pages : 140
Book Description
Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.
Author: Francis Gardella
Author: Francis Gardella
Author: Henri Picciotto
Author: Francis Gardella
Author: G. D. Chakerian
Author: Maureen T. Carroll
Author: Francis J. Gardella
Author: John T. Salinas 
Author: Alan Michette
Author: American Mathematical Society. Short Course, Discrete Differential Geometry
Author: