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The spread of Renaissance culture in England coincided with the birth of the profession of architecture, whose practitioners soon became superior to simple builders in social standing and perceived intellectual prowess. This stimulating book, which focuses in particular on the scientist, mathematician, and architect Sir Christopher Wren, explores the extent to which this new professional identity was based on expertise in the mathematical arts and sciences. Featuring drawings, instruments, paintings, and other examples of the material culture of English architecture, the book discusses the role of mathematics in architectural design and building technology. It begins with architectural drawing in the 16th century, moves to large-scale technical drawing under Henry VIII, considers Inigo Jones and his royal buildings and Christopher Wren and the dome of St. Paul's, and concludes with the architectural education of George III. Interweaving text and visual image, the book investigates the boundaries between art and science in architecture--the most artistic of the sciences and the most scientific of the arts. Exhibition Schedule: Yale Center for British Art (opens February 2010)
Over 200 COMPASS(r) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! You also receive: - Math Multiple Choice Strategy - How to Study for a Math Test - How to make a COMPASS(r) study plan - How to Take a Tes
Studying formal logic can be intimidating without the right help, but knowing how to think logically isn't just for "experts." Logic should be your secret weapon. It's the tool for learning how to use other tools. It's the bones that give a clenched fist its structure (and knuckles). With that in mind, we have painstakingly designed Introductory Logic for everyday students, teachers, and parents who've never tackled syllogisms or fallacies before, but who know just how important learning logic is. In Introductory Logic, you'll get the benefit of James B. Nance's twenty years of teaching experience as you learn the fundamentals you need to think well wherever you are, including: How to properly define terms for maximum precision and accuracy -- and thus win the debate, How to form and interpret statements, the building blocks of logical thought, How to compose valid syllogisms, and -- just as importantly -- expose the invalid fakes using counterexamples, How to analyze arguments in norm
Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Do you need help with math for your college placement test? "College Placement Test Math Practice" contains 200 math practice problems and step-by-step solutions. The book contains pre-algebra, algebra, and college-level math problems. For each of the problems, we provide an illustrated step-by-step mathematical solution, which shows you the formulas and all of the mathematical steps needed to solve each problem. Each problem also includes a narrative explanation, which gives tips and exam strategies on how to solve similar problems on your college placement exam. The book covers the following topics: Pre-algebra: Computations with Integers Working with Fractions - Multiplying Fractions - Dividing Fractions - Finding the Lowest Common Denominator - Simplifying Fractions Mixed Numbers Percentages and Decimals Solving Word Problems Proportions Rates and Ratios Setting Up Equations Working with Averages Algebra: Evaluating and Simplifying Numerical Expressions Polynomials - The FOIL Method and Working with Polynomials - Multiplying Polynomials Using the FOIL Method - Dividing Polynomials Using Long Division - Evaluating Polynomial Expressions - Substituting Values in Polynomial Expressions - Operations on Polynomials that Have More than Two Terms Factoring - Factoring - Advanced Problems - Factoring to Find Possible Values of a Variable - Fractions that Contain Fractions - Fractions that Contain Radicals - Fractions that Contain Rational Expressions - Working with Quadratics Rational Expressions - Adding and Subtracting Fractions that Contain Rational Expressions - Multiplying Fractions that Contain Rational Expressions - Dividing Fractions that Contain Rational Expressions Functions Imaginary and Complex Numbers Inequalities Laws of Exponents - Adding and Subtracting Exponents - Fractions as Exponents - Positive and Negative Exponents - Zero Exponent Logarithmic Functions Matrices Multiple Solutions Scientific Notation Sequences and Series Sigma Notation Solving by Elimination Solving for an Unknown Variable Special Operations Square Roots, Cube Roots, and Other Radicals - Factoring Radicals - Multiplication of Radicals - Rationalizing Radicals Systems of Equations College-level math: Angles and the Pythagorean Theorem Circles and Arcs Squares and Rectangles Linear Equations and Graphs Midpoints Slope and Slope-Intercept x and y intercepts Basic trigonometry
If You’re Taking the COMPASS Exam and Need Help with Math, Bob Miller has Your Solution!Bob Miller’s Math Review for the COMPASS ExamBob Miller has taught math to thousands of students at all educational levels for 30 years. His proven teaching methods help college-bound students succeed on the math portion of the COMPASS exam. Written in a lively and unique format, Bob Miller’s Math Review for the COMPASS Exam contains everything COMPASS test-takers need to know. Focused, easy-to-follow review chapters cover all the pre-algebra, algebra, geometry, and trigonometry skills tested on the exam. Drills and examples build skills and explain key concepts. The book includes two practice tests based on actual COMPASS test questions. Detailed explanations of answers help you identify your strengths and weaknesses while reinforcing your knowledge. Bob also gives you study tips, strategies, and confidence-boosting advice for test day, so you’ll be ready to tackle the COMPASS.Bob Miller’s Math Review for the COMPASS is just part of the equation! REA has also developed an all-new test prep for the verbal portion of the exam, Doug French’s Verbal Review for the COMPASS Exam. What is the COMPASS? The COMPASS is a computer-adaptive college placement exam used by high schools, technical schools, community colleges, and four-year colleges across the country. It evaluates the math, English language, and writing skill levels of incoming students. A high score on the COMPASS helps students advance to higher-level college classes.
The NCERT Mathematics Practice Books for classes 1 to 8 are designed to provide additional practice to the users of the NCERT Mathematics Textbooks as well as for the general practice of mathematical concepts. These books serve as companions to the NCERT Mathematics Textbooks: Math-Magic for classes 1 to 5 and Mathematics for classes 6 to 8.
A proven program for enhancing students' thinking and comprehension abilities Visible Thinking is a research-based approach to teaching thinking, begun at Harvard's Project Zero, that develops students' thinking dispositions, while at the same time deepening their understanding of the topics they study. Rather than a set of fixed lessons, Visible Thinking is a varied collection of practices, including thinking routines?small sets of questions or a short sequence of steps?as well as the documentation of student thinking. Using this process thinking becomes visible as the students' different viewpoints are expressed, documented, discussed and reflected upon. Helps direct student thinking and structure classroom discussion Can be applied with students at all grade levels and in all content areas Includes easy-to-implement classroom strategies The book also comes with a DVD of video clips featuring Visible Thinking in practice in different classrooms.
This book puts forward a new role for mathematics in the natural sciences. In the traditional understanding, a strong viewpoint is advocated, on the one hand, according to which mathematics is used for truthfully expressing laws of nature and thus for rendering the rational structure of the world. In a weaker understanding, many deny that these fundamental laws are of an essentially mathematical character, and suggest that mathematics is merely a convenient tool for systematizing observational knowledge. The position developed in this volume combines features of both the strong and the weak viewpoint. In accordance with the former, mathematics is assigned an active and even shaping role in the sciences, but at the same time, employing mathematics as a tool is taken to be independent from the possible mathematical structure of the objects under consideration. Hence the tool perspective is contextual rather than ontological. Furthermore, tool-use has to respect conditions like suitability, efficacy, optimality, and others. There is a spectrum of means that will normally differ in how well they serve particular purposes. The tool perspective underlines the inevitably provisional validity of mathematics: any tool can be adjusted, improved, or lose its adequacy upon changing practical conditions.