Common Sense Mathematics

Common Sense Mathematics PDF
Author: Ethan D. Bolker
Publisher: The Mathematical Association of America
ISBN: 1939512107
Size: 79.28 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 326
View: 5148

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Common Sense Mathematics

by Ethan D. Bolker, Common Sense Mathematics Books available in PDF, EPUB, Mobi Format. Download Common Sense Mathematics books, Common Sense Mathematics is a text for a one semester college-level course in quantitative literacy. The text emphasizes common sense and common knowledge in approaching real problems through popular news items and finding useful mathematical tools and frames with which to address those questions. We asked ourselves what we hoped our students would remember about this course in ten year’s time. From that ten year perspective thoughts about syllabus–“what topics should we cover?"–seemed much too narrow. What matters more is our wish to change the way our students' minds work–the way they approach a problem, or, more generally, the way they approach the world. Most people “skip the numbers" in newspapers, magazines, on the web and (more importantly) even in financial information. We hope that in ten years our students will follow the news, confident in their ability to make sense of the numbers they find there and in their daily lives. Most quantitative reasoning texts are arranged by mathematical topics to be mastered. Since the mathematics is only a part of what we hope students learn, we've chosen another strategy. We look at real life stories that can be best understood with careful reading and a little mathematics.


The Common Sense Of Teaching Mathematics

The Common Sense of Teaching Mathematics PDF
Author: Caleb Gattegno
Publisher: Educational Solutions World
ISBN: 0878252207
Size: 18.73 MB
Format: PDF
Category : Education
Languages : en
Pages : 206
View: 6807

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The Common Sense Of Teaching Mathematics

by Caleb Gattegno, The Common Sense Of Teaching Mathematics Books available in PDF, EPUB, Mobi Format. Download The Common Sense Of Teaching Mathematics books, "Since knowing produces knowledge, and not the other way around, this book shows how everyone can be a producer rather than a consumer of mathematical knowledge. Mathematics can be owned as a means of mathematizing the universe, just as the power of verbalizing molds itself to all the manifold demands of experience."C. Gattegno


Mathematics Common Sense

Mathematics   Common Sense PDF
Author: Philip J. Davis
Publisher: CRC Press
ISBN: 1439864322
Size: 69.44 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 250
View: 7566

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Mathematics Common Sense

by Philip J. Davis, Mathematics Common Sense Books available in PDF, EPUB, Mobi Format. Download Mathematics Common Sense books, From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between m


Constitutional Calculus

Constitutional Calculus PDF
Author: Jeff Suzuki
Publisher: JHU Press
ISBN: 142141595X
Size: 44.91 MB
Format: PDF, ePub, Docs
Category : Law
Languages : en
Pages : 280
View: 3413

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Constitutional Calculus

by Jeff Suzuki, Constitutional Calculus Books available in PDF, EPUB, Mobi Format. Download Constitutional Calculus books, How should we count the population of the United States? What would happen if we replaced the electoral college with a direct popular vote? What are the consequences of allowing unlimited partisan gerrymandering of congressional districts? Can six-person juries yield verdicts consistent with the needs of justice? Is it racist to stop and frisk minorities at a higher rate than non-minorities? These and other questions have long been the subject of legal and political debate and are routinely decided by lawyers, politicians, judges, and voters, mostly through an appeal to common sense and tradition. But mathematician Jeff Suzuki asserts that common sense is not so common, and traditions developed long ago in what was a mostly rural, mostly agricultural, mostly isolated nation of three million might not apply to a mostly urban, mostly industrial, mostly global nation of three hundred million. In Constitutional Calculus, Suzuki guides us through the U.S. Constitution and American history to show how mathematics reveals our flaws, finds the answers we need, and moves us closer to our ideals. From the first presidential veto to the debate over mandatory drug testing, the National Security Agency's surveillance program, and the fate of death row inmates, Suzuki draws us into real-world debates and then reveals how math offers a superior compass for decision-making. Relying on iconic cases, including the convictions of the Scottsboro boys, League of United Latin American Citizens v. Perry, and Floyd v. City of New York, Suzuki shows that more math can lead to better justice, greater fairness, and a more stable democracy. Whether you are fascinated by history, math, social justice, or government, your interest will be piqued and satisfied by the convincing case Suzuki makes.


Meaning In Mathematics Education

Meaning in Mathematics Education PDF
Author: Jeremy Kilpatrick
Publisher: Springer Science & Business Media
ISBN: 0387240403
Size: 72.32 MB
Format: PDF, ePub
Category : Education
Languages : en
Pages : 260
View: 4259

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Meaning In Mathematics Education

by Jeremy Kilpatrick, Meaning In Mathematics Education Books available in PDF, EPUB, Mobi Format. Download Meaning In Mathematics Education books, What does it mean to know mathematics? How does meaning in mathematics education connect to common sense or to the meaning of mathematics itself? How are meanings constructed and communicated and what are the dilemmas related to these processes? There are many answers to these questions, some of which might appear to be contradictory. Thus understanding the complexity of meaning in mathematics education is a matter of huge importance. There are twin directions in which discussions have developed—theoretical and practical—and this book seeks to move the debate forward along both dimensions while seeking to relate them where appropriate. A discussion of meaning can start from a theoretical examination of mathematics and how mathematicians over time have made sense of their work. However, from a more practical perspective, anybody involved in teaching mathematics is faced with the need to orchestrate the myriad of meanings derived from multiple sources that students develop of mathematical knowledge. This book presents a wide variety of theoretical reflections and research results about meaning in mathematics and mathematics education based on long-term and collective reflection by the group of authors as a whole. It is the outcome of the work of the BACOMET (BAsic COmponents of Mathematics Education for Teachers) group who spent several years deliberating on this topic. The ten chapters in this book, both separately and together, provide a substantial contribution to clarifying the complex issue of meaning in mathematics education. This book is of interest to researchers in mathematics education, graduate students of mathematics education, under graduate students in mathematics, secondary mathematics teachers and primary teachers with an interest in mathematics.


Mathematics Education As A Research Domain A Search For Identity

Mathematics Education as a Research Domain  A Search for Identity PDF
Author: Anna Sierpinska
Publisher: Springer
ISBN: 9401151946
Size: 46.90 MB
Format: PDF, Mobi
Category : Education
Languages : en
Pages : 240
View: 3801

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Mathematics Education As A Research Domain A Search For Identity

by Anna Sierpinska, Mathematics Education As A Research Domain A Search For Identity Books available in PDF, EPUB, Mobi Format. Download Mathematics Education As A Research Domain A Search For Identity books, No one disputes how important it is, in today's world, to prepare students to un derstand mathematics as well as to use and communicate mathematics in their future lives. That task is very difficult, however. Refocusing curricula on funda mental concepts, producing new teaching materials, and designing teaching units based on 'mathematicians' common sense' (or on logic) have not resulted in a better understanding of mathematics by more students. The failure of such efforts has raised questions suggesting that what was missing at the outset of these proposals, designs, and productions was a more profound knowledge of the phenomena of learning and teaching mathematics in socially established and culturally, politically, and economically justified institutions - namely, schools. Such knowledge cannot be built by mere juxtaposition of theories in disci plines such as psychology, sociology, and mathematics. Psychological theories focus on the individual learner. Theories of sociology of education look at the general laws of curriculum development, the specifics of pedagogic discourse as opposed to scientific discourse in general, the different possible pedagogic rela tions between the teacher and the taught, and other general problems in the inter face between education and society. Mathematics, aside from its theoretical contents, can be looked at from historical and epistemological points of view, clarifying the genetic development of its concepts, methods, and theories. This view can shed some light on the meaning of mathematical concepts and on the difficulties students have in teaching approaches that disregard the genetic development of these concepts.