UMAP ILAP Modules PDF Download
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 218
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 218
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Book Description
Author: Yves Nievergelt
Publisher: Springer
ISBN: 1493932233
Category : Mathematics
Languages : en
Pages : 399
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Book Description
This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from Foundations of Logic and Mathematics: Applications to Science and Cryptography © 2002 Birkhӓuser, this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory. The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided. Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still remain unresolved? And the perennial question: In what ways are we going to use this material? Additionally, the selection of topics presented reflects many major accomplishments from the twentieth century and includes applications in game theory and Nash's equilibrium, Gale and Shapley's match making algorithms, Arrow's Impossibility Theorem in voting, to name a few. From the reviews of the first edition: "...All the results are proved in full detail from first principles...remarkably, the arithmetic laws on the rational numbers are proved, step after step, starting from the very definitions!...This is a valuable reference text and a useful companion for anybody wondering how basic mathematical concepts can be rigorously developed within set theory." —MATHEMATICAL REVIEWS "Rigorous and modern in its theoretical aspect, attractive as a detective novel in its applied aspects, this paper book deserves the attention of both beginners and advanced students in mathematics, logic and computer sciences as well as in social sciences." —Zentralblatt MATH
Author: Alison Clark-Wilson
Publisher: Routledge
ISBN: 1000390799
Category : Education
Languages : en
Pages : 246
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Book Description
The wide availability of digital educational resources for mathematics teaching and learning is indisputable, with some notable genres of technologies having evolved, such as graphing calculators, dynamic graphing, dynamic geometry and data visualization tools. But what does this mean for teachers of mathematics, and how do their roles evolve within this digital landscape? This essential book offers an international perspective to help bridge theory and practice, including coverage of networking theories, curriculum design, task implementation, online resources and assessment. Mathematics Education in the Digital Age details the impacts this digital age has, and will continue to have, on the parallel aspects of learning and teaching mathematics within formal education systems and settings. Written by a group of international authors, the chapters address the following themes: Mathematics teacher education and professional development Mathematics curriculum development and task design The assessment of mathematics Theoretical perspectives and methodologies/approaches for researching mathematics education in the digital age This book highlights not only the complex nature of the field, but also the advancements in theoretical and practical knowledge that is enabling the mathematics education community to continue to learn in this increasingly digital age. It is an essential read for all mathematics teacher educators and master teachers.
Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 202
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Author: Robert Fraga
Publisher: MAA
ISBN: 0883851814
Category : Business & Economics
Languages : en
Pages : 156
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Book Description
These projects are adaptations of transcripts made at a workship at Marquette University in Milwaukee, WI in 1996. This workshop ... brought together four mathematicians ... representatives from industry, and an audience of mathematicans interested in trying out the ideas presented to them.
Author: John A. Dossey
Publisher: Thomson Brooks/Cole
ISBN: 9780534366049
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Building on the recommendations of the NCTM's Principles and Standards, this work provides guidance in teaching content and developing processes for students in middle and high school, integrating an emphasis on mathematical modeling with various other teaching methods. After an overview of the con
Author: Paul J. Campbell
Publisher:
ISBN: 9780912843742
Category : Mathematics
Languages : en
Pages : 190
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Book Description
Author:
Publisher:
ISBN:
Category : Antinuclear movement
Languages : en
Pages : 6
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