Algebra

Author: Richard G. Brown
Publisher: McDougal Littell/Houghton Mifflin
ISBN: 9780395470541
Format: PDF, ePub, Docs
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Algebra Teaching around the World

Author: Frederick K.S. Leung
Publisher: Springer
ISBN: 9462097070
Format: PDF
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Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.

College Algebra

Author: Jay P. Abramson
Publisher:
ISBN: 9781938168383
Format: PDF, ePub, Docs
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"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Abstract Algebra

Author: Thomas W. Judson
Publisher: Orthogonal Publishing L3c
ISBN: 9781944325053
Format: PDF, ePub, Mobi
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Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

Structure and Interpretation of Computer Programs

Author: Harold Abelson
Publisher: Mit Press
ISBN: 9780262011532
Format: PDF, ePub
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Structure and Interpretation of Computer Programs has had a dramatic impact on computer science curricula over the past decade. This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

Elementary algebra structure and use

Author: Raymond A. Barnett
Publisher: McGraw-Hill Companies
ISBN: 9780070038400
Format: PDF, Kindle
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This text is intended for a beginning or elementary algebra course offered at both two- and four-year schools. Elementary Algebra Structure and Use is an introductory text for students with either no background in algebra or for those students who need review before proceeding further. New accessible four-color design and an expanded graphics program make the book more visually appealing and reinforce critical concepts. Student success and anxiety reduction are achieved through a non-threatening, informal writing style and the use of numerous pedagogical aids (e.g., examples with "matched problems," annotations, think boxes, new chapter summaries, and cumulative reviews). The text is designed to smooth the transition from arithmetic to algebra by gradually developing algebraic concepts, manipulations, and applications. There are 6,400 graded problems which range from easy and routine to challenging and conceptual. The inclusion of a large quantity and variety of significant and interesting real-world applications should convince even the most skeptical students that algebra can be extremely useful.