Math Girls 3

Math Girls 3

Author: Hiroshi Yuki

Publisher:

Published: 2016-05-15

Total Pages: 394

ISBN-13: 9781939326287

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In the early twentieth century, a massive undertaking to rid mathematics of all paradoxes and inconsistencies was underway. Known as Hilbert's program, it sought to provide an unshakable foundation for all of mathematics. Things seemed to be proceeding well until young Kurt Godel stunned the world by proving that Hilbert's goals were unobtainable, that contradiction was part of the warp and weave of any mathematical system. Yet what at the time seemed to be a fatal blow to mathematical consistency now forms the basis of modern logic. Godel's incompleteness theorems are often misunderstood to be a statement of the limits of mathematical reasoning, but in truth they strengthen mathematics, building it up to be more powerful than what had come before. In this third book in the Math Girls series, join Miruka and friends as they tackle the basics of modern logic, learning such topics as the Peano axioms, set theory, and diagonalization, leading up to an in-depth exploration of Godel's famous theorems. Along the way, visit other interesting and important topics such as trigonometry and the epsilon-delta definition of limits, and of course take on challenges from the enigmatic Mr. Muraki. Math Girls 3: Godel's Incompleteness Theorems has something for anyone interested in mathematics, from advanced high school students to college math majors and educators."


Math Girls 5

Math Girls 5

Author: Hiroshi Yuki

Publisher: Math Girls

Published: 2021-11-15

Total Pages: 436

ISBN-13: 9781939326478

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This fifth entry in the highly acclaimed Math Girls series focuses on the mathematics of Évariste Galois, the nineteenth-century wunderkind who revolutionized mathematics with work he performed while still a teenager. Mathematicians before him had discovered solutions to general second-, third-, and fourth-degree equations, but a similar "quintic formula" that would allow knowing the solutions to any fifth-degree equation had eluded mathematicians for centuries. Through his ingenious approach of bridging the worlds of groups and fields, young Galois not only showed that such a formula was impossible, he newly developed group theory and the branch of mathematics that today bears his name. Join Miruka and friends to see how Galois developed his theory, along with related topics such as geometric constructions and the angle trisection problem, derivation of the cubic formula, reducible and irreducible polynomials, group theory and field theory, symmetric polynomials, roots of unity, sets and cosets, cyclotomic polynomials, vector spaces, extension fields, and symmetric groups. The book concludes with a tour through Galois's first paper, in which he describes for the first time the necessary and sufficient conditions for a polynomial to be algebraically solved using radicals. Math Girls 5: Galois Theory has something for anyone interested in mathematics, from advanced high school to college students and educators.


Math Girls 4

Math Girls 4

Author: Hiroshi Yuki

Publisher:

Published: 2020-03-24

Total Pages: 438

ISBN-13: 9781939326430

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This fourth entry in the highly acclaimed Math Girls series focuses on the mathematics of computer science and analysis of algorithms. Aimed at anyone interested in mathematics and computer science, from advanced high school students to college students and educators.


Math Girls Talk about Integers

Math Girls Talk about Integers

Author: Hiroshi Yuki

Publisher:

Published: 2014-09-16

Total Pages: 236

ISBN-13: 9781939326249

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Math Girls Talk About Integers introduces students to a variety of fun and informative topics in discrete math, including curious features of the prime numbers, tricks for checking for multiples of 3 and 9 (and why those tricks work!), using division remainders to solve some unusual problems, and an in-depth look at proof by mathematical induction. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for readers wanting to push the limits of their understanding.


Teaching the Female Brain

Teaching the Female Brain

Author: Abigail Norfleet James

Publisher: Corwin Press

Published: 2009-07

Total Pages: 209

ISBN-13: 1412967104

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As any classroom teacher can tell you, there are discernible differences in the way girls and boys learn. This engaging, practical guide examines how girls' unique sensory, physical, cognitive, and emotional characteristics affect their performance in the classroom, and shows you how to adapt classroom experiences to assist girls' learning, particularly in math and science. Abigail Norfleet James provides research-based findings to build your understanding of how females learn differently, whether in coed or single-sex settings, and clarifies assumptions held by both teachers and students about themselves.


Math Girls Talk About Equations & Graphs

Math Girls Talk About Equations & Graphs

Author: Hiroshi Yuki

Publisher:

Published: 2014-05-05

Total Pages: 176

ISBN-13: 9781939326225

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From the author of Math Girls comes an exciting new series for learning and reviewing important skills for taking on advanced mathematics! This first volume, Math Girls Talk About Equations and Graphs, develops topics such as using variables in equations, polynomials, setting up systems of equations, proportions and inverse proportions, the relation between equations and their graphs, parabolas, intersections, and tangent lines. These topics are introduced through conversations between the characters from Math Girls, offering a fun way to learn this serious content. Each chapter comes with review problems and answers, and an appendix gives more challenging, open-ended problems for learners wanting to push the limits of their understanding. This book is most suited to middle- or high-school students who have learned basic algebra, or older readers who want to brush up on forgotten math skills. This series came about through requests from readers who enjoyed the excitement of learning aspects of the Math Girls series, but found themselves unprepared to keep up with the mathematical content. We hope that the books in this series will help young mathematicians firm up vital math skills that will allow them to excel in more advanced studies.


Math Book for Girls

Math Book for Girls

Author: Valerie Wyatt

Publisher: Paw Prints

Published: 2009-05-21

Total Pages: 0

ISBN-13: 9781442052376

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The companion to The Science Book for Girls and Other Intelligent Beings shows, through puzzles and activities, that math is part of everyday life and introduces real women who use math in their daily jobs. Simultaneous.


Math Girls Manga

Math Girls Manga

Author: Hiroshi Yuki

Publisher:

Published: 2016-11-11

Total Pages: 192

ISBN-13: 9780983951353

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The Math Girls Manga is the comic adaptation of Hiroshi Yuki's bestselling novel of mathematical romance, available in English at last! Combining mathematical rigor with light romance, Math Girls is a unique introduction to advanced mathematics that has something for everyone, from advanced high school students to math majors and educators.


Classroom-Ready Rich Math Tasks, Grades 4-5

Classroom-Ready Rich Math Tasks, Grades 4-5

Author: Beth McCord Kobett

Publisher: Corwin Press

Published: 2021-04-14

Total Pages: 348

ISBN-13: 1071841068

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Detailed plans for helping elementary students experience deep mathematical learning Do you work tirelessly to make your math lessons meaningful, challenging, accessible, and engaging? Do you spend hours you don’t have searching for, adapting, and creating tasks to provide rich experiences for your students that supplement your mathematics curriculum? Help has arrived! Classroom Ready-Rich Math Tasks for Grades 4-5 details more than 50 research- and standards-aligned, high-cognitive-demand tasks that will have your students doing deep-problem-based learning. These ready-to-implement, engaging tasks connect skills, concepts and practices, while encouraging students to reason, problem-solve, discuss, explore multiple solution pathways, connect multiple representations, and justify their thinking. They help students monitor their own thinking and connect the mathematics they know to new situations. In other words, these tasks allow students to truly do mathematics! Written with a strengths-based lens and an attentiveness to all students, this guide includes: • Complete task-based lessons, referencing mathematics standards and practices, vocabulary, and materials • Downloadable planning tools, student resource pages, and thoughtful questions, and formative assessment prompts • Guidance on preparing, launching, facilitating, and reflecting on each task • Notes on access and equity, focusing on students’ strengths, productive struggle, and distance or alternative learning environments. With concluding guidance on adapting or creating additional rich tasks for your students, this guide will help you give all of your students the deepest, most enriching and engaging mathematics learning experience possible.


Math Girls Talk About Trigonometry

Math Girls Talk About Trigonometry

Author: Hiroshi Yūki

Publisher:

Published: 2014-12-11

Total Pages: 276

ISBN-13: 9781939326256

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Explores a variety of fun and informative topics in trigonometry, from basics like defining the sine and cosine functions, to less frequently seen topics like Lissajous curves and different ways of deriving the value of pi. These topics are introduced through conversations between the characters from the Math Girls series, offering a fun way to learn this serious content. The third in a series aimed at preparing students for advanced mathematics studies.