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Learning Modern Algebra
  • Language: en
  • Pages: 481

Learning Modern Algebra

  • Type: Book
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  • Published: 2013
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  • Publisher: MAA

A guide to modern algebra for mathematics teachers. It makes explicit connections between abstract algebra and high-school mathematics.

Investigations in Algebra
  • Language: en
  • Pages: 636

Investigations in Algebra

  • Type: Book
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  • Published: 1990
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  • Publisher: MIT Press

Investigations in Algebra departs from a preoccupation with calculus as the ultimate goal of and the universal introduction to advanced mathematics by using Logo to explore combinatorics, number theory, the study of discrete functions, and other topics that are not on the traditional path to calculus. This approach encourages students to participate actively in exciting mathematics, developing in them a facility for abstraction and an appreciation for the power of mathematical methods. Most of the projects in the first two parts of the book have been worked through by students at Woburn High School, often without assistance from a teacher. In three parts, Investigations in Algebra emphasizes...

Learning Mathematics and Logo
  • Language: en
  • Pages: 522

Learning Mathematics and Logo

  • Type: Book
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  • Published: 1992
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  • Publisher: MIT Press

These original essays summarize a decade of fruitful research and curriculum development using the LISP-derived language Logo. They discuss a range of issues in the areas of curriculum, learning, and mathematics, illustrating the ways in which Logo continues to provide a rich learning environment, one that allows pupil autonomy within challenging mathematical settings.Essays in the first section discuss the link between Logo and the school mathematics curriculum, focusing on the ways in which pupils' Logo activities relate to and are influenced by the ideas they encounter in the context of school algebra and geometry. In the second section the contributions take up pedagogical styles and str...

Linear Algebra and Geometry
  • Language: en
  • Pages: 575

Linear Algebra and Geometry

Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to textbooks@ams.org for more information.

Thinking Algebraically: An Introduction to Abstract Algebra
  • Language: en
  • Pages: 496

Thinking Algebraically: An Introduction to Abstract Algebra

Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, en...

Eleven Short Stories
  • Language: en
  • Pages: 223

Eleven Short Stories

DIVMasterly stories include "Little Hut," "With Other Eyes," "A Voice," "Citrons from Sicily," "A Character’s Tragedy," six more. English translations. /div

Transcript of the Enrollment Books
  • Language: en
  • Pages: 850

Transcript of the Enrollment Books

  • Type: Book
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  • Published: 1940
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  • Publisher: Unknown

None

Ways to Think About Mathematics
  • Language: en
  • Pages: 266

Ways to Think About Mathematics

Funded by the National Science Foundation and successfully field-tested in a variety of settings, the materials presented give teachers the opportunity to grow as learners for the classes they teach.

High School Mathematics at Work
  • Language: en
  • Pages: 192

High School Mathematics at Work

Traditionally, vocational mathematics and precollege mathematics have been separate in schools. But the technological world in which today's students will work and live calls for increasing connection between mathematics and its applications. Workplace-based mathematics may be good mathematics for everyone. High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essaysâ€"by mathematicians, educators, and other expertsâ€"is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education. This important book addresses how to make math...

Simplification, Explicitation and Normalization
  • Language: en
  • Pages: 144

Simplification, Explicitation and Normalization

The search for general laws and regularities in Translation Studies gained new momentum in the 1990s when Baker (1993) promoted the use of large electronic corpora as research tools for exploring the linguistic features that render the language of translation different from the language of non-translated texts. By comparing a corpus of translated and non-translated English texts, Baker and her research team put forward the hypothesis that translated texts are characterized by some “universal features”, namely simplification, explicitation, normalization and levelling-out. The purpose of this study is to test whether simplification, explicitation and normalization apply to Italian transla...