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Origametry: Mathematical Methods in Paper Folding
by Thomas C. HullOrigami, the art of paper folding, has a rich mathematical theory. Early investigations go back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of the mathematics of folding. Besides its use in describing origami and designing new models, it is also finding real-world applications from building nano-scale robots to deploying large solar arrays in space. Written by a world expert on the subject, Origametry is the first complete reference on the mathematics of origami. It brings together historical results, modern developments, and future directions into a cohesive whole. Over 180 figures illustrate the constructions described while numerous 'diversions' provide jumping-off points for readers to deepen their understanding. This book is an essential reference for researchers of origami mathematics and its applications in physics, engineering, and design. Educators, students, and enthusiasts will also find much to enjoy in this fascinating account of the mathematics of folding.
Origami Dots: Folding paper to explore geometry
by Andy ParkinsonAll the challenges in this entertaining puzzle book are the same. Fold the corner of the paper to a given dot and find the folded area. A small move of the target dot can drastically change the logic needed to find the solution to the challenge. The problems become increasingly complex as the book progresses, with possible solutions involving Pythagoras' and similar triangles as well as trigonometry and algebra. However, insights learnt from earlier challenges can help with those that follow. If at any point the challenge becomes too great, the answers can always be found by measurement with a ruler and directly calculating the area. The book encourages curiosity, a "find out what you can" approach that creates interesting and varied solution strategies. The aim is that deep thinking and geometrical reasoning can come out of exploring and discussing the paper folds. The challenges are for all ages (10 years and over). Thus, for teachers the book provides a rich source of challenges that have a similar appearance, yet hide an obvious method and require students to choose how to approach the problem. Comparing solution methods when checking the answers is also useful as the solutions highlight some fascinating facts linked with these simple folds.
Origami Tessellations: Awe-Inspiring Geometric Designs
by Eric GjerdeEric Gjerde demonstrates 25 of his favorite tessellations and turns them into projects for newcomers as well as experienced origamists. With step-by-step instructions, illustrated crease patterns, and how-to photos, you'll learn to create these wonderful designs yourself. Eric's first book covers the fundamentals of origami tessellations, provides history, and describes simple beginning techniques with detailed illustrations and photographs. An extensive gallery showcases tessellations folded by the world's leading origami fine artists---inspiring you to experiment, innovate, and eventually create your own unique designs.
The Original Area Mazes: 100 Addictive Puzzles to Solve with Simple Math—and Clever Logic! (Original Area Mazes)
by Alex Bellos Naoki Inaba Ryoichi MurakamiThe rules are simple . . . The math is easy . . .The puzzles get harder and harder! Once you match wits with area mazes, you’ll be hooked! Your quest is to navigate a network of rectangles to find a missing value.Just Remember:Area = length × widthUse spatial reasoning to find helpful relationshipsWhole numbers are all you need. You can always get the answer without using fractions! Originally invented for gifted students, area mazes (menseki meiro), have taken all of Japan by storm. Are you a sudoku fanatic? Do you play brain games to stay sharp? Did you love geometry . . . or would you like to finally show it who’s boss? Feed your brain some area mazes—they could be just what you’re craving!
The Original Area Mazes, Volume 2: 100 More Addictive Puzzles to Solve with Simple Math—and Clever Logic! (Original Area Mazes)
by Naoki Inaba Ryoichi MurakamiThe rules are simple . . . The math is easy . . . The puzzles get harder and harder! Hooked on area mazes? YOU’RE IN LUCK! Volume Two delivers 100 more puzzles. Your quest is to navigate a network of rectangles to find a missing value. Just remember: Area = length × widthUse spatial reasoning to find helpful relationshipsWhole numbers are all you need. You can always get the answer without using fractions! Originally invented for gifted students, area mazes have taken all of Japan by storm. Are you a sudoku fanatic? Do you play brain games to stay sharp? Did you love geometry . . . or would you like to finally show it who’s boss? Try area mazes—they could be just what you’re craving!
The Origins and Evolution of Family Planning Programs in Developing Countries
by Judith R. SeltzerThis book analyzes the origins and rationale of family planning programs and how they have evolved based on experience in different country settings.
Origins and Varieties of Logicism: On the Logico-Philosophical Foundations of Mathematics (Routledge Studies in the Philosophy of Mathematics and Physics)
by Francesca Boccuni Andrea SereniThis book offers a plurality of perspectives on the historical origins of logicism and on contemporary developments of logicist insights in philosophy of mathematics. It uniquely provides up-to-date research and novel interpretations on a variety of intertwined themes and historical figures related to different versions of logicism.The essays, written by prominent scholars, are divided into three thematic sections. Part I focuses on major authors like Frege, Dedekind, and Russell, providing a historical and theoretical exploration of such figures in the philosophical and mathematical milieu in which logicist views were first expounded. Part II sheds new light on the interconnections between these founding figures and a number of influential other traditions, represented by authors like Hilbert, Husserl, and Peano, as well as on the reconsideration of logicism by Carnap and the logical empiricists. Finally, Part III assesses the legacy of such authors and of logicist themes for contemporary philosophy of mathematics, offering new perspectives on highly debated topics—neo-logicism and its extension to accounts of ordinal numbers and set-theory, the comparison between neo-Fregean and neo-Dedekindian varieties of logicism, and the relation between logicist foundational issues and empirical research on numerical cognition—which define the prospects of logicism in the years to come.This book offers a comprehensive account of the development of logicism and its contemporary relevance for the logico-philosophical foundations of mathematics. It will be of interest to graduate students and researchers working in philosophy of mathematics, philosophy of logic, and the history of analytic philosophy.
The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
by Judith V. GrabinerThis text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. Beginning with a survey of the characteristic 19th-century view of analysis, the book proceeds to an examination of the 18th-century concept of calculus and focuses on the innovative methods of Cauchy and his contemporaries in refining existing methods into the basis of rigorous calculus. 1981 edition.
The Origins of Mathematical Knowledge in Childhood (Studies in Mathematical Thinking and Learning Series)
by Catherine SophianThis book examines the origins and development of children's mathematical knowledge. It contrasts the widely held view that counting is the starting point for mathematical development with an alternative comparison-of-quantities position. According to the comparison-of-quantities position, the concept of number builds upon more basic concepts of equality, inequality, and less-than and greater-than relations, which derive from comparisons between unenumerated quantities such as lengths. The concept of number combines these basic comparative concepts with the concept of a unit of measure, which allows one quantity to be described as a multiple of another. Sophian examines these alternative accounts of children's developing mathematical knowledge in the light of research: on children's counting; on their reasoning about continuous quantities such as length and area; on the development of the concept of unit; on additive and multiplicative reasoning; and on knowledge about fractions. In the closing chapters, Sophian draws out the developmental and the educational implications of the research and theory presented. Developmentally, the comparison-of-quantities position undermines the idea that numerical knowledge develops through domain-specific learning mechanisms in that it links numerical development both to physical knowledge about objects, which is the starting point for the concept of unit, and to the acquisition of linguistic number terms. Instructionally, the comparison-of-quantities perspective diverges from the counting-first perspective in that it underscores the continuity between whole-number arithmetic and fraction learning that stems from the importance of the concept of unit for both. Building on this idea, Sophian advances three instructional recommendations: First, instruction about numbers should always be grounded in thinking about quantities and how numbers represent the relations between them; second, instruction in the early years should always be guided by a long-term perspective in which current objectives are shaped by an understanding of their role in the overall course of mathematics learning; and third, instruction should be directly toward promoting the acquisition of the most general mathematical knowledge possible. The Origins of Mathematical Knowledge in Childhood is intended for researchers, professionals, and graduate students in developmental psychology, educational psychology, and mathematics education, and as a supplementary text for advanced undergraduate courses in cognitive development, educational psychology, and mathematics education.
Origins of Mathematical Words: A Comprehensive Dictionary of Latin, Greek, and Arabic Roots
by Anthony Lo BelloThe most comprehensive math root dictionary ever published.Outstanding Academic Title, ChoiceDo you ever wonder about the origins of mathematical terms such as ergodic, biholomorphic, and strophoid? Here Anthony Lo Bello explains the roots of these and better-known words like asymmetric, gradient, and average. He provides Greek, Latin, and Arabic text in its original form to enhance each explanation. This sophisticated, one-of-a-kind reference for mathematicians and word lovers is based on decades of the author's painstaking research and work.Origins of Mathematical Words supplies definitions for words such as conchoid (a shell-shaped curve derived from the Greek noun for "mussel") and zenith (Arabic for "way overhead"), as well as approximation (from the Latin proximus, meaning "nearest"). These and hundreds of other terms wait to be discovered within the pages of this mathematical and etymological treasure chest.
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 2], Student Book A
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 2], Student Book B
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 5], Student Book A
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones 2.0, Comprehensive Mathematics [Grade 5], Student Book B
by James Burnett Calvin Irons Peter Stowasser Allan TurtonNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 2], Practice Book
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 3], Student Journal
by James Burnett Calvin Irons Debi DePaulNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 4], Practice Book
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade 4], Student Journal
by James Burnett Calvin Irons Debi DePaulNIMAC-sourced textbook
ORIGO Stepping Stones, Core Mathematics [Grade K], Student Journal
by Rosemary Irons James Burnett Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Programa de matemáticas [Grade 2], Libro de práctica: Spanish Edition
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Programa de matemáticas [Grade 2], Libro del alumno: Spanish Edition
by James Burnett Calvin Irons Peter StowasserNIMAC-sourced textbook
ORIGO Stepping Stones, Programa de matemáticas [Grade 3], Libro de práctica: Spanish Edition
by James Burnett Calvin Irons Debi DePaulNIMAC-sourced textbook
ORIGO Stepping Stones, Programa de matemáticas [Grade 3], Libro del alumno: Spanish Edition
by James Burnett Calvin Irons Debi DePaulNIMAC-sourced textbook