Download or read book A Generalized Instructional System for Elementary Mathematical Logic written by Adele Goldberg and published by . This book was released on 1971 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Helping Children Learn Mathematics written by National Research Council and published by National Academies Press. This book was released on 2002-07-31 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results from national and international assessments indicate that school children in the United States are not learning mathematics well enough. Many students cannot correctly apply computational algorithms to solve problems. Their understanding and use of decimals and fractions are especially weak. Indeed, helping all children succeed in mathematics is an imperative national goal. However, for our youth to succeed, we need to change how we're teaching this discipline. Helping Children Learn Mathematics provides comprehensive and reliable information that will guide efforts to improve school mathematics from pre-kindergarten through eighth grade. The authors explain the five strands of mathematical proficiency and discuss the major changes that need to be made in mathematics instruction, instructional materials, assessments, teacher education, and the broader educational system and answers some of the frequently asked questions when it comes to mathematics instruction. The book concludes by providing recommended actions for parents and caregivers, teachers, administrators, and policy makers, stressing the importance that everyone work together to ensure a mathematically literate society.
Download or read book Research in Education written by and published by . This book was released on 1973 with total page 914 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Mathematical Logic written by Michał Walicki and published by World Scientific Publishing Company. This book was released on 2011-12-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students. Starting with the basics of set theory, induction and computability, it covers propositional and first-order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts. Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers. An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic. Contents:A History of Logic:Patterns of ReasoningA Language and Its MeaningA Symbolic Language1850–1950 — Mathematical LogicModern Symbolic LogicSummaryElements of Set Theory:Sets, Functions, RelationsInductionTuring Machines:Computability and DecidabilityPropositional Logic:Syntax and Proof SystemsSemantics of PLSoundness and CompletenessFirst-Order Logic:Syntax and Proof Systems of FOLSemantics of FOLMore SemanticsSoundness and CompletenessWhy is First Order Logic “First Order”? Readership: Undergraduates learning logic, lecturers teaching logic, any professionals who are non-experts in the subject but wish to learn and understand more about logic.
Download or read book Experimental Teaching of Mathematical Logic in the Elementary School written by Patrick Suppes and published by . This book was released on 1964 with total page 53 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Resources in Education written by and published by . This book was released on 1992 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serves as an index to Eric reports [microform].
Download or read book General Register written by University of Michigan and published by . This book was released on 1959 with total page 1086 pages. Available in PDF, EPUB and Kindle. Book excerpt: Announcements for the following year included in some vols.
Download or read book Teaching and Learning Discrete Mathematics Worldwide Curriculum and Research written by Eric W. Hart and published by Springer. This book was released on 2017-12-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.
Download or read book Initiatives in Logic written by Jan J.T. Srzednicki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book IJCAI 77 written by and published by . This book was released on 1977 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Precis of Mathematical Logic written by J.M. Bochenski and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of which this is an English translation appeared originally in French as Precis de logique mathematique. In 1954 Dr. Albert Menne brought out a revised and somewhat enlarged edition in German (Grund riss der Logistik, F. Schoningh, Paderborn). In making my translation I have used both editions. For the most part I have followed the original French edition, since I thought there was some advantage in keeping the work as short as possible. However, I have included the more extensive historical notes of Dr. Menne, his bibliography, and the two sections on modal logic and the syntactical categories (§ 25 and 27), which were not in the original. I have endeavored to correct the typo graphical errors that appeared in the original editions and have made a few additions to the bibliography. In making the translation I have profited more than words can tell from the ever-generous help of Fr. Bochenski while he was teaching at the University of Notre Dame during 1955-56. OTTO BIRD Notre Dame, 1959 I GENERAL PRINCIPLES § O. INTRODUCTION 0. 1. Notion and history. Mathematical logic, also called 'logistic', ·symbolic logic', the 'algebra of logic', and, more recently, simply 'formal logic', is the set of logical theories elaborated in the course of the last century with the aid of an artificial notation and a rigorously deductive method.
Download or read book Title Index ERIC ED Accessions File written by ERIC Processing and Reference Facility and published by . This book was released on 1966 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics for Elementary Teachers written by Sybilla Beckmann and published by Pearson Education. This book was released on 2009-07-01 with total page 883 pages. Available in PDF, EPUB and Kindle. Book excerpt: This activities manul includes activities designed to be done in class or outside of class. These activities promote critical thinking and discussion and give students a depth of understanding and perspective on the concepts presented in the text.
Download or read book Office of Education Research Reports written by Educational Resources Information Center (U.S.) and published by . This book was released on 1967 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Office of Education Research Reports 1956 1965 written by Educational Research Information Center (U.S.) and published by . This book was released on 1967 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Office of Education Research Reports 1956 65 ED 002 747 ED 003 960 written by Educational Research Information Center (U.S.). and published by . This book was released on 1967 with total page 710 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book OE publication written by and published by . This book was released on 1967 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
