From Reading To Math
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Algebra: Chapter 0
Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.
Integrating Literacy and Math
Many K–6 teachers--and students--still think of mathematics as a totally separate subject from literacy. Yet incorporating math content into the language arts block helps students gain skills for reading many kinds of texts. And bringing reading, writing, and talking into the math classroom supports the development of conceptual knowledge and problem solving, in addition to computational skills. This invaluable book thoroughly explains integrated instruction and gives teachers the tools to make it a reality. Grounded in current best practices for both language arts and math, the book includes planning advice, learning activities, assessment strategies, reproducibles, and resources, plus a wealth of examples from actual classrooms.