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Author: Paul Lockhart Publisher: Harvard University Press ISBN: 067423751X Category : Mathematics Languages : en Pages : 232
Book Description
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.
Author: Paul Lockhart Publisher: Harvard University Press ISBN: 067423751X Category : Mathematics Languages : en Pages : 232
Book Description
Paul Lockhart reveals arithmetic not as the rote manipulation of numbers but as a set of ideas that exhibit the surprising behaviors usually reserved for higher branches of mathematics. In this entertaining survey, he explores the nature of counting and different number systems—Western and non-Western—and weighs the pluses and minuses of each.
Author: David C. Geary Publisher: Academic Press ISBN: 0128133686 Category : Psychology Languages : en Pages : 362
Book Description
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public
Author: Katherine A. Loop Publisher: Ingram ISBN: 9780977361106 Category : Home schooling Languages : en Pages : 217
Book Description
Do you want to present math from a biblical perspective, but need ideas and a framework from which to start? Are you looking for fresh inspiration for your math class? Building on the principles presented in Beyond Numbers, this manual will help you modify and fill in the gaps in your curriculum. In Revealing Arithmetic, you'll get ideas and inspiration to help you: Reinforce a biblical worldview and worship the Lord in math; Teach your children to really understand concepts and think mathematically as opposed to merely memorizing mechanics; Transform everyday activities and objects into math lessons, teaching your child to use math as a real-life tool; Make and use an abacus in your teaching, as well as explore other historical methods and symbols that help children really view math as a tool and better understand our modern method. This book is usable with a variety of grades and learning styles. Concepts covered range from counting to exponents (view the Table of Contents), making it appropriate for supplementing a pre-K through about grade 6 curriculum. Since math builds on itself, students in even older grades can also use the book as a review to help them get a firm foundation for upper-level concepts. Because of the format and structure, you can easily take or modify the information for your particular child's ability and interests. Includes examples of modifying a typical curriculum presentation. Each chapter (with the exception of counting) walks through modifying a typical curriculum presentation, illustrating ways you could modify your textbook to convey the principles and goals discussed. - Publisher.
Author: Laura Laing Publisher: Simon and Schuster ISBN: 1440526893 Category : Reference Languages : en Pages : 283
Book Description
Ever wish you'd paid more attention in math class? From third grade to senior year of high school, it went in one ear and out the other, didn't it? But now you're staring at the new washer and dryer, trying to figure out the percentage of sales tax on the purchase price. You multiply something by something, right? Or you're scratching your head, wondering how to compute the odds that your football team will take next Sunday's game. You're pretty sure that involved ratios. The problem is, you can't quite remember. Here you get an adult refresher and real-life context—with examples ranging from how to figure out how many shingles it takes to re-roof the garage to the formula for resizing Mom's tomato sauce recipe for your entire family. Forget higher calculus—you just need an open mind. And with this practical guide, math can stop being scary and start being useful.
Author: G. Arnell Williams Publisher: Rowman & Littlefield Publishers ISBN: 1442218762 Category : Education Languages : en Pages : 347
Book Description
We hear all the time how American children are falling behind their global peers in various basic subjects, but particularly in math. Is it our fear of math that constrains us? Or our inability to understand math’s place in relation to our everyday lives? How can we help our children better understand the basics of arithmetic if we’re not really sure we understand them ourselves? Here, G. Arnell Williams helps parents and teachers explore the world of math that their elementary school children are learning. Taking readers on a tour of the history of arithmetic, and its growth into the subject we know it to be today, Williams explores the beauty and relevance of mathematics by focusing on the great conceptual depth and genius already inherent in the elementary mathematics familiar to us all, and by connecting it to other well-known areas such as language and the conceptual aspects of everyday life. The result is a book that will help you to better explain mathematics to your children. For those already well versed in these areas, the book offers a tour of the great conceptual and historical facts and assumptions that most simply take for granted. If you are someone who has always struggled with mathematics either because you couldn’t do it or because you never really understood why the rules are the way they are, if you were irritated with the way it was taught to you with the emphasis being only on learning the rules and “recipes” by rote as opposed to obtaining a good conceptual understanding, then How Math Works is for you!
Author: J-P. Serre Publisher: Springer Science & Business Media ISBN: 1468498843 Category : Mathematics Languages : en Pages : 126
Book Description
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
Author: Katherine Hannon Publisher: New Leaf Publishing Group ISBN: 1614587760 Category : Religion Languages : en Pages : 229
Book Description
For years, Christian math books have looked basically like secular textbooks, with the addition of a Bible verse here or there. Here, at last, is a book to help you transform your math class and show your child God’s handiwork in math! Revealing Arithmetic will help you: Teach math from a biblical worldview. Worship the Lord in math. Help your child really understand concepts. Train your child to think mathematically. Transform everyday activities and objects into math lessons. Teach your child to use math as a real-life tool. Explore historical methods and symbols. This book is designed for homeschool parents needing a simple math guide to use alongside their curriculum and help them teach arithmetic to elementary students, older students needing a review of math basics before moving on to advanced mathematics, or Christian school or co-op teachers (or future teachers) wanting ideas on how to modify the curriculum to better reveal the truth of a Creator God.
Author: Katherine Loop Publisher: Master Books ISBN: 9780890519141 Category : Languages : en Pages : 0
Book Description
Katherine Loop has done the remarkable! She has written a solid math course with a truly Biblical worldview. This course goes way beyond the same old Christian math course that teaches math with a few Scriptures sprinkled in and maybe some church-based word problems. This course truly transforms the way we see math. Katherine makes the argument that math is not a neutral subject as most have come to believe. She carefully lays the foundation of how math points to our Creator, the God of the Bible. The nature of God, His Creation, and even the Gospel itself is seen through the study of math. Katherine does a marvelous job of revealing His Glory in this one-of-a-kind math course. Katherine Loop's Principles of Mathematics Biblical Worldview Curriculum is a first of its kind. It takes math to a whole new level students and parents are going to love. It is a guaranteed faith grower!
Author: Joseph H. Silverman Publisher: Springer Science & Business Media ISBN: 1461208513 Category : Mathematics Languages : en Pages : 482
Book Description
In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.
Author: Jiri Herman Publisher: Springer Science & Business Media ISBN: 1475739257 Category : Mathematics Languages : en Pages : 402
Book Description
This book presents methods of solving problems in three areas of elementary combinatorial mathematics: classical combinatorics, combinatorial arithmetic, and combinatorial geometry. Brief theoretical discussions are immediately followed by carefully worked-out examples of increasing degrees of difficulty and by exercises that range from routine to rather challenging. The book features approximately 310 examples and 650 exercises.
Author: Paul Lockhart
Author: Paul Lockhart
Author: David C. Geary
Author: Katherine A. Loop
Author: Laura Laing
Author: G. Arnell Williams
Author: J-P. Serre
Author: Katherine Hannon
Author: Katherine Loop
Author: Joseph H. Silverman
Author: Jiri Herman