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This book is for high school and college teachers who want to know how they can use the history of mathematics as a pedagogical tool to help their students construct their own knowledge of mathematics. Often, a historical development of a particular topic is the best way to present a mathematical topic, but teachers may not have the time to do the research needed to present the material. This book provides its readers with historical ideas and insights which can be immediately applied in the classroom. The book is divided into two sections: the first on the use of history in high school mathematics, and the second on its use in university mathematics. The articles are diverse, covering fields such as trigonometry, mathematical modeling, calculus, linear algebra, vector analysis, and celestial mechanics. Also included are articles of a somewhat philosophical nature, which give general ideas on why history should be used in teaching and how it can be used in various special kinds of courses. Each article contains a bibliography to guide the reader to further reading on the subject.
There is a gap between the extensive mathematics background that is beneficial to biologists and the minimal mathematics background biology students acquire in their courses. The result is an undergraduate education in biology with very little quantitative content. New mathematics courses must be devised with the needs of biology students in mind. In this volume, authors from a variety of institutions address some of the problems involved in reforming mathematics curricula for biology students. The problems are sorted into three themes: Models, Processes, and Directions. It is difficult for mathematicians to generate curriculum ideas for the training of biologists so a number of the curriculum models that have been introduced at various institutions comprise the Models section. Processes deals with taking that great course and making sure it is institutionalized in both the biology department (as a requirement) and in the mathematics department (as a course that will live on even if the creator of the course is no longer on the faculty). Directions looks to the future, with each paper laying out a case for pedagogical developments that the authors would like to see.
Volume 116 reports the 1997 "Danube dam" case concerning the Gabcikovo-Nagymaros Project (Hungary/Slovakia). Also included is the hitherto unreported decision of the English High Court on act of State and the effect of Security Council resolutions in the latest phase of Kuwait Airways Corp. v. Iraqi Airways Co. Several important decisions of the Inter-American Court of Human Rights on State responsibility for human rights actions are reported. Finally, there is a group of newly translated cases on State immunity and international organization immunity from Austria, France, Portugal and Switzerland.
This anthology presents a comprehensive review of mathematics and its teaching in the following nations in South America, Central America, and the Caribbean: Argentina, Bolivia, Brazil, Chile, Colombia, Costa Rica, Cuba, Guyana, Haiti, Honduras, México, Panamá, Paraguay, Perú, Puerto Rico, Trinidad and Tobago, and Venezuela. The last summary of mathematics education encompassing countries from the Southern Americas appeared in 1966. Progress in the field during five decades has remained unexamined until now.
Motivating Mathematics demonstrates that pupils can be motivated by being given the Big Picture, including a clearer picture of the nature of maths, and by linking topics to the sciences, rather than teaching each topic in isolation. The author emphasises the many virtues of problem-solving, strongly emphasised in secondary education specifications, especially the role of perception, and the ability of pupils to create their own proofs and to appreciate 'cool' ideas and arguments.David Wells draws on his extensive experience of teaching primary and secondary pupils and his understanding not just of how students think about mathematics, but of how they feel about a subject which so often seems merely a collection of facts and rules to be mastered. This book will be of immediate practical use to teachers and students at all levels.Anyone involved in mathematics education will benefit from reading this inspiring book, whether classroom teacher, trainer, teacher in training or professional development, or even parent. The book will also be of interest to policy makers and others with an investment in the future of mathematics education.
Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to math education, the C. P. Snow "two-culture" problem, and mistreatment of women in academia. These engaging stories fully capture the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
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