The Essence Of Mathematics Through Elementary Problems

Author : Alexandre Borovik,Anthony Gardiner
Publisher : Unknown
Page : 374 pages
File Size : 51,9 Mb
Release : 2019
Category : Mathematics
ISBN : 1783747013

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The Essence of Mathematics by Alexandre Borovik,Anthony Gardiner Pdf

"It is increasingly clear that the shapes of reality - whether of the natural world, or of the built environment - are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself 'tick', and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems - with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works."--Publisher's website.

Author : Alexandre Borovik,Tony Gardiner
Publisher : Unknown
Page : 398 pages
File Size : 51,8 Mb
Release : 2019-06-11
Category : Mathematics
ISBN : 1783746998

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The Essence of Mathematics Through Elementary Problems by Alexandre Borovik,Tony Gardiner Pdf

Author : George Polya,Jeremy Kilpatrick
Publisher : Courier Corporation
Page : 80 pages
File Size : 48,5 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9780486318325

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The Stanford Mathematics Problem Book by George Polya,Jeremy Kilpatrick Pdf

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Author : Heinrich Dörrie
Publisher : Courier Corporation
Page : 416 pages
File Size : 41,6 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9780486318479

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100 Great Problems of Elementary Mathematics by Heinrich Dörrie Pdf

Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Author : Hugo Steinhaus
Publisher : Unknown
Page : 128 pages
File Size : 44,6 Mb
Release : 1923
Category : Mathematics
ISBN : OCLC:223778661

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One Hundred Problems in Elementary Mathematics by Hugo Steinhaus Pdf

Author : Richard Courant
Publisher : Unknown
Page : 0 pages
File Size : 45,6 Mb
Release : 1973
Category : Electronic
ISBN : OCLC:918355716

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What is Mathematics? by Richard Courant Pdf

Author : Matthew Oldridge
Publisher : Rowman & Littlefield
Page : 134 pages
File Size : 52,7 Mb
Release : 2018-10-31
Category : Education
ISBN : 9781475843347

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Teaching Mathematics through Problem-Solving in K–12 Classrooms by Matthew Oldridge Pdf

This book shows how problems can be the vehicle for learning mathematics itself, and presents a comprehensive pedagogy based on classroom discourse, assessment, critical and creative thinking.

Author : Denise Gaskins
Publisher : Tabletop Academy Press
Page : 222 pages
File Size : 53,5 Mb
Release : 2024-05-19
Category : Education
ISBN : 9781892083630

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Word Problems from Literature by Denise Gaskins Pdf

You can help prevent math anxiety by giving your children the mental tools they need to conquer story problems. Young children expect to look at a word problem and instantly see the answer. But as they get older, their textbook math problems also grow in difficulty, so this solution-by-intuitive-leap becomes impossible. Too often the frustrated child concludes, “I’m just not good at math.” But with practice, any student can learn to master word problems. Word Problems from Literature features math puzzles for elementary and middle school students inspired by classic books such as Mr. Popper's Penguins and The Hobbit. Denise Gaskins demonstrates step by step how to solve these problems--and how to build a strong foundation of problem-solving skills that can handle any situation. And when you finish the puzzles in this book, Denise shows you how to create your own word problems from literature, using your child’s favorite story worlds. You'll love this book, because it prepares your children for mathematical success. Order your copy of Word Problems from Literature today. * * * If you’re using these word problems with your children, check out the companion Word Problems Student Workbook: Word Problems from Literature.

Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
Page : 432 pages
File Size : 50,8 Mb
Release : 2024-05-19
Category : Mathematics
ISBN : 0821886258

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Elementary Topology by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov Pdf

This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.

Author : Miriam Godoy Penteado,Ole Skovsmose
Publisher : Open Book Publishers
Page : 229 pages
File Size : 45,9 Mb
Release : 2022-12-09
Category : Mathematics
ISBN : 9781800648241

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Landscapes of Investigation by Miriam Godoy Penteado,Ole Skovsmose Pdf

Creating landscapes of investigation is a primary concern of critical mathematics education. It enables us to organise educational processes so that students and teachers are able to get involved in explorations guided by dialogical interactions. It attempts to address explicit or implicit forms of social injustice by means of mathematics, and also to promote a critical conception of mathematics, challenging the assumption that the subject represents objectivity and neutrality. Landscapes of Investigation provides many illustrations of how this can be done in primary, secondary, and university education. It also illustrates how exploring landscapes of investigation can contribute to mathematics teacher education programmes. This edited volume is the result of a collaboration established through the Colloquium in Research in Critical Mathematics Education, which took place in 2016, 2018, and 2019 in Brazil. Its twenty-eight contributors are young researchers from Brazil, Chile, Colombia, India, Mexico and the USA, who are dedicated to the further development of critical mathematics education. Organised in eighteen chapters, the volume presents examples of engaging students from a diversity of social and economic backgrounds, age ranges, and abilities across different countries. The chapters present original findings on the social aspects of all levels of mathematics education. Landscapes of Investigation is of particular relevance to those with an interest in the potential of mathematics education to challenge social injustices.

Author : Peter Liljedahl
Publisher : Corwin Press
Page : 454 pages
File Size : 50,7 Mb
Release : 2020-09-28
Category : Education
ISBN : 9781544374840

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Building Thinking Classrooms in Mathematics, Grades K-12 by Peter Liljedahl Pdf

A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Author : Nokhem Shtif
Publisher : Open Book Publishers
Page : 130 pages
File Size : 45,6 Mb
Release : 2019-06-10
Category : History
ISBN : 9781783747474

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The Pogroms in Ukraine, 1918-19: Prelude to the Holocaust by Nokhem Shtif Pdf

Between 1918 and 1921 an estimated 100,000 Jewish people were killed, maimed or tortured in pogroms in Ukraine. Hundreds of Jewish communities were burned to the ground and hundreds of thousands of people were left homeless and destitute, including orphaned children. A number of groups were responsible for these brutal attacks, including the Volunteer Army, a faction of the Russian White Army. The Pogroms in Ukraine, 1918-19: Prelude to the Holocaust is a vivid and horrifying account of the atrocities committed by the Volunteer Army, written by Nokhem Shtif, an eminent Yiddish linguist and social activist who joined the relief efforts on behalf of the pogrom survivors in Kiev. Shtif’s testimony, published in 1923, was born from his encounters there and from the weighty archive of documentation amassed by the relief workers. This was one of the earliest efforts to systematically record human rights atrocities on a mass scale. Originally written in Yiddish and here skillfully translated and introduced by Maurice Wolfthal, The Pogroms in Ukraine, 1918-19 brings to light a terrible and historically neglected series of persecutions that foreshadowed the Holocaust by twenty years. It is essential reading for academics and students in the fields of human rights, Jewish studies, Russian and Soviet studies, and Ukraine studies. Maurice Wolfthal has also written the award-winning translation of Bernard Weinstein’s The Jewish Unions in America, also published by Open Book Publishers.

Author : Stephen Robertson
Publisher : Open Book Publishers
Page : 204 pages
File Size : 46,5 Mb
Release : 2020-10-22
Category : Computers
ISBN : 9781800641044

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B C, Before Computers: On Information Technology from Writing to the Age of Digital Data by Stephen Robertson Pdf

I found it a delight to read. The author is not trying to write yet another book on the history of computer developments but rather to show that those developments rely on a long history of humans creating solutions to problems that arose as they became more and more sophisticated in their treatment of concepts of information and its manipulation. In many ways it resembles a work of philosophy more than a technical history, but relies on explaining that technical history to make his points. Michael R. Williams, Department of Computer Sciences, University of Calgary The idea that the digital age has revolutionized our day-to-day experience of the world is nothing new, and has been amply recognized by cultural historians. In contrast, Stephen Robertson’s BC: Before Computers is a work which questions the idea that the mid-twentieth century saw a single moment of rupture. It is about all the things that we had to learn, invent, and understand – all the ways we had to evolve our thinking – before we could enter the information technology revolution of the second half of the twentieth century. Its focus ranges from the beginnings of data processing, right back to such originary forms of human technology as the development of writing systems, gathering a whole history of revolutionary moments in the development of information technologies into a single, although not linear narrative. Treading the line between philosophy and technical history, Robertson draws on his extensive technical knowledge to produce a text which is both thought-provoking and accessible to a wide range of readers. The book is wide in scope, exploring the development of technologies in such diverse areas as cryptography, visual art and music, and the postal system. Through all this, it does not simply aim to tell the story of computer developments but to show that those developments rely on a long history of humans creating technologies for increasingly sophisticated methods of manipulating information. Through a clear structure and engaging style, it brings together a wealth of informative and conceptual explorations into the history of human technologies, and avoids assumptions about any prior knowledge on the part of the reader. As such the expert and the general reader alike will find it of interest.

Author : Art Whimbey,Jack Lochhead,Paula B Potter
Publisher : Routledge
Page : 0 pages
File Size : 51,5 Mb
Release : 2017-06-29
Category : Electronic
ISBN : 1138420204

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Thinking Through Math Word Problems by Art Whimbey,Jack Lochhead,Paula B Potter Pdf

This book is to be commended for its accessible style and approach, and is a valuable resource for students in the early stages of their Education undergraduate programme.' Charlotte Barrow, Senior Lecturer in Education, University of Central Lancashire 'Clearly set out, coherent and accessible for all students on Education Studies courses. It reflects accurately current issues and concerns in Education Studies. A valuable addition to the literature, with a focus on progressive ideas in education.' Dr John Rees, Sheffield Hallam University Exploring Education Studies is a rich and multi-layered investigation of the world of education. Built around four central themes - history and philosophy, psychology, current policy, and new perspectives in education - the author's lively discussions capture the essence of this diverse subject area. Step beyond the classroom Exploring Education Studies leads the way by offering a range of features to support your learning: Within the Learning Situation - practical examples put a spotlight on theory in practice, in a variety of educational settings Controversies - discussion boxes tackling thorny issues, and showing two (or more) sides of the debate Case Studies - two unique case studies in each chapter illustrate the complex realities of modern educational practice History of Education - easy-to-read summaries that provide subject background for all chapters Take control Exploring Education Studies provides all the tools you need to develop your own ideas with confidence: Stop & Reflect - questions to get you to reflect your own experiences in education Connect and Explore - pushes you further by providing links to the latest research and policy Activities - tasks and challenges providing practical

Author : F. William Lawvere,Stephen H. Schanuel
Publisher : Cambridge University Press
Page : 409 pages
File Size : 53,7 Mb
Release : 2009-07-30
Category : Mathematics
ISBN : 9780521894852

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Conceptual Mathematics by F. William Lawvere,Stephen H. Schanuel Pdf

This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists.