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Thinking Through Mathematics

Thinking Through Mathematics PDF Author: Edward A. Silver
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 68

Book Description
This document focuses on how mathematics teaching and learning can be improved by developing more powerful approaches to connect thinking and mathematics. It proposes changing perspectives on what it means to learn and do mathematics and explores how these perspectives can be incorporated into the teaching of secondary school mathematics. Chapter 1 offers a view of mathematics as emerging largely from individual and social activity rather than from textbooks, worksheets, and tradition. The learner is depicted as someone who actively constructs meaning instead of passively receiving it. Chapter 2 considers how a greater emphasis on communication (discussion, debate, recording, and writing) stimulates and uncovers students' learning and thinking and leads to a deeper understanding by both teachers and students. Chapter 3 explores how teachers might encourage greater inquiry and communication in a secondary school class by making minor, but thought-provoking changes in ordinary problems and situations. Finally, chapter 4 gives some practical advice on transforming the mathematics classroom into a place where students are expected not only to absorb and consume mathematics but also to produce and think about it. Contains 17 references and 17 figures. (MKR)

Thinking Through Mathematics

Thinking Through Mathematics PDF Author: Edward A. Silver
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 68

Book Description
This document focuses on how mathematics teaching and learning can be improved by developing more powerful approaches to connect thinking and mathematics. It proposes changing perspectives on what it means to learn and do mathematics and explores how these perspectives can be incorporated into the teaching of secondary school mathematics. Chapter 1 offers a view of mathematics as emerging largely from individual and social activity rather than from textbooks, worksheets, and tradition. The learner is depicted as someone who actively constructs meaning instead of passively receiving it. Chapter 2 considers how a greater emphasis on communication (discussion, debate, recording, and writing) stimulates and uncovers students' learning and thinking and leads to a deeper understanding by both teachers and students. Chapter 3 explores how teachers might encourage greater inquiry and communication in a secondary school class by making minor, but thought-provoking changes in ordinary problems and situations. Finally, chapter 4 gives some practical advice on transforming the mathematics classroom into a place where students are expected not only to absorb and consume mathematics but also to produce and think about it. Contains 17 references and 17 figures. (MKR)

Listen 'n' Learn Spanish with Your Favorite Movies

Listen 'n' Learn Spanish with Your Favorite Movies PDF Author: Scott Thomas
Publisher: McGraw Hill Professional
ISBN: 0071634185
Category : Foreign Language Study
Languages : en
Pages : 305

Book Description
It’s a thumbs-up for this movie-inspired guide to learning Spanish Pop in a movie in your DVD player Turn on the Spanish soundtrack in the DVD options menu Open up Listen ‘n’ Learn Spanish with Your Favorite Movies, and relax as you learn core Spanish vocabulary and phrases It is as easy as that to learn thousands of essential Spanish terms and expressions. You follow along using the book to decipher difficult Spanish passages while watching (and listening!) to a movie’s Spanish soundtrack. Listen ‘n’ Learn Spanish with Your Favorite Movies features comprehensive language notes and translations for: “The Fox and the Hound,” “March of the Penguins,” “The Absent-Minded Professor,” “Tarzan,” “Eight Below,” “Home Alone,” “Holes,” “Rocky III,” “Eragon,” “Hoosiers,” “The Chronicles of Narnia,” “The Princess Bride,” “Anne of Green Gables,” “Finding Nemo,” “The Incredibles,” and “Mary Poppins.” These films are all family favorites and can be easily rented from Netflix or other rental stores.

A Dictionary of Spanish Proverbs

A Dictionary of Spanish Proverbs PDF Author: John Collins
Publisher: Franklin Classics Trade Press
ISBN: 9780343990022
Category :
Languages : en
Pages : 398

Book Description
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

On the Shoulders of Giants

On the Shoulders of Giants PDF Author: National Research Council
Publisher: National Academies Press
ISBN: 0309042348
Category : Education
Languages : en
Pages : 241

Book Description
What mathematics should be learned by today's young people as well as tomorrow's workforce? On the Shoulders of Giants is a vision of richness of mathematics expressed in essays on change, dimension, quantity, shape, and uncertainty, each of which illustrate fundamental strands for school mathematics. These essays expand on the idea of mathematics as the language and science of patterns, allowing us to realize the importance of providing hands-on experience and the development of a curriculum that will enable students to apply their knowledge to diverse numerical problems.

Occupational Change in Europe

Occupational Change in Europe PDF Author: Daniel Oesch
Publisher:
ISBN: 9780191761010
Category : Labor demand
Languages : en
Pages :

Book Description
'Occupational Change in Europe' examines the pattern of occupational change in Western Europe by drawing on extensive evidence of employment data in Britain, Denmark, Germany, Spain and Switzerland since 1990.

Reshaping School Mathematics

Reshaping School Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 59

Book Description


¡Acción Gramática! Fourth Edition

¡Acción Gramática! Fourth Edition PDF Author: Phil Turk
Publisher: Hodder Education
ISBN: 1510431594
Category : Study Aids
Languages : en
Pages : 381

Book Description
Exam board: AQA, Edexcel, OCR, WJEC/Eduqas Level: A-level Subject: Spanish First teaching: September 2016 First exams: Summer 2018 Make Spanish grammar second nature with this trusted reference book containing over 300 activities - now completely revised in line with the new A-level specifications. - Supplement key resources in class or encourage independent practice at home, with clear explanations of the grammar points needed at A-level and knowledge-check exercises throughout - Prepare for assessment with longer application activities focused on developing writing skills such as translation and summary - Build confidence as exercises get increasingly more challenging to mirror students' advancement throughout the course - Check students' progress with regular grammar tests and all answers supplied online

The Hidden Wordsworth

The Hidden Wordsworth PDF Author: Kenneth R. Johnston
Publisher: W. W. Norton & Company
ISBN: 9780393321593
Category : Biography & Autobiography
Languages : en
Pages : 740

Book Description
"This is a Wordsworth we have never quite seen before."--Hermione Lee, The New York Times

Glocal Narratives of Resilience

Glocal Narratives of Resilience PDF Author: Ana María Fraile-Marcos
Publisher: Routledge
ISBN: 1000025071
Category : Literary Criticism
Languages : en
Pages : 311

Book Description
Resilience discourse has recently become a global phenomenon, infiltrating the natural and social sciences, but has rarely been undertaken as an important object of study within the field of the humanities. Understanding narrative in its broad sense as the representation in art of an event or story, Glocal Narratives of Resilience investigates the contemporary approaches to resilience through the analyses of cultural narratives that engage aesthetically and ideologically in (re)shaping the notion of resilience, going beyond the scales of the personal and the local to consider the entanglement of the regional, national and global aspects embedded in the production of crises and the resulting call for resilience. After an introductory survey of the state of the art in resilience thinking, the book grounds its analyses of a wide range of narratives from the American continent, Europe, and India in various theoretical strands, spanning Psycho-social Resilience, Socio-Ecological Resilience, Subaltern Resilience, Indigenous survivance and resurgence, Neoliberal Resilience, and Compromised Resilience thinking, among others, thus opening the path toward the articulation of a cultural narratology of resilience.

William Wordsworth

William Wordsworth PDF Author: Stephen Gill
Publisher: Oxford University Press
ISBN: 0192551280
Category : Biography & Autobiography
Languages : en
Pages : 584

Book Description
In this second edition of William Wordsworth: A Life, Stephen Gill draws on knowledge of the poet's creative practices and his reputation and influence in his life-time and beyond. Refusing to treat the poet's later years as of little interest, this biography presents a narrative of the whole of Wordsworth's long life—1770 to 1850—tracing the development from the adventurous youth who alone of the great Romantic poets saw life in revolutionary France to the old man who became Queen Victoria's Poet Laureate. The various phases of Wordsworth's life are explored with a not uncritical sympathy; the narrative brings out the courage he and his wife and family were called upon to show as they crafted the life they wanted to lead. While the emphasis is on Wordsworth the writer, the personal relationships that nourished his creativity are fully treated, as are the historical circumstances that affected the production of his poetry. Wordsworth, it is widely believed, valued poetic spontaneity. He did, but he also took pains over every detail of the process of publication. The foundation of this second edition of the biography remains, as it was of the first, a conviction that Wordsworth's poetry, which has given pleasure and comfort to generations of readers in the past, will continue to do so in the years to come.