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Introduction to Abstract Algebra with Notes to the Future Teacher
For courses in Abstract Algebra.
Designed for future mathematics teachers as well as mathematics students who are not planning careers in secondary education, this text offers a traditional course in abstract algebra along with optional notes that connect its mathematical content to school mathematics. Elementary number theory and rings of polynomials are treated before group theory. Prerequisites include some experience with proof. (A brief appendix reviews certain basics of logic, proof, set theory, and functions.) Students should also have access to a Computer Algebra System (CAS), or a calculator with CAS capabilities
Features
• To the Teacher sections:
– Draw connections from the number theory or abstract algebra under consideration to secondary mathematics
– Help students make appropriate connections between the advanced mathematics they are learning and the secondary mathematics they may be teaching,
• In the Classroom sections addressing classroom concerns in each chapter – Optional for the non-teacher.
• From the Past sections in each chapter – Provide historical context; students experience historical thinking and technique.
• Worksheets that outlines the framework of a topic in most chapters:
– Asks students to provide the details and exposition.
– Worksheets are suitable for group work and for development as student presentations in a capstone experience.
• Examples in the text drawn from linear algebra – Can be omitted for students without that background.
Table of Contents
1. Topics in Number Theory
2. Modular Arithmetic and Systems of Numbers
3. Polynomials
4. A First Look at Group Theory
5. New Structures from Old
6. Looking Forward and Back
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High Tide in Hawaii (Magic Tree House, #28)
Age Range: 6+ years
Catch the wave!
That’s what Jack and Annie do when the Magic Tree House whisks them back to a Hawaiian island of long ago. They learn how to surf and have a great time—until strange things start happening. Jack and Annie soon discover the cause: A tidal wave is headed their way! Can they help save their new friends in time?
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Twister on Tuesday (Magic Tree House, #23)
Age Range: 6+ years
An adventure to blow you away!
That’s what Jack and Annie get when the Magic Tree House whisks them back to the 1870s. They land on the prairie near a one-room schoolhouse, where they meet a teenage schoolteacher, some cool kids, and one big, scary bully. But the biggest and scariest thing is yet to come!
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Revolutionary War on Wednesday (Magic Tree House, #22)
Age Range: 6+ years
It is a dark and snowy night when the Magic Tree House whisks Jack and Annie back to colonial times. General George Washington is about to lead his army in a sneak attack against their enemy. But now a terrible weather is making the great general question his plans. Can Jack and Annie keep history on track? The fate of the country rests in their hands!
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Civil War on Sunday (Magic Tree House, #21)
Age Range: 6+ years
Jack and Annie are ready for their next fantasy adventure in the bestselling middle-grade series—the Magic Tree House!
Cannon fire!
That’s what Jack and Annie hear when the Magic Tree House whisks them back to the time of the American Civil War. There they meet a famous nurse named Clara Barton and do their best to help wounded soldiers. It is their hardest journey in time yet—and the one that will make the most difference to their own lives!
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Dingoes at Dinnertime (Magic Tree House, #20)
Age Range: 6+ years
The #1 bestselling chapter book series of all time celebrates 25 years with new covers and a new, easy-to-use numbering system!
Wildfire! That’s what Jack and Annie are up against when they are whisked away to the land of Australia. And they’re not alone! Jack and Annie must help a baby kangaroo and a koala escape from a fire-filled forest. Will they be able to rescue the animals in time?
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Tigers at Twilight (Magic Tree House, #19)
Age Range: 6+ years
Jack and Annie are ready for their next fantasy adventure in the bestselling middle-grade series—the Magic Tree House!
Tigers in trouble?
That’s what Jack and Annie find when the Magic Tree House whisks them and Teddy, the enchanted dog, to a forest in India. The rare tigers are being trapped by greedy poachers! Can Jack and Annie find a way to help? Or will a fierce tiger eat them instead?
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Buffalo Before Breakfast (Magic Tree House, #18)
Age Range: 6+ years
Hello, buffalo!
That’s what Jack and Annie say when the Magic Tree House whisks them and Teddy, the enchanted dog, back almost 200 years to the Great Plains. There they meet a Lakota boy who shows them how to hunt buffalo. But something goes wrong! Now they need to stop a thousand buffalo from stampeding!
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Tonight on the Titanic (Magic Tree House, #17)
Age Range: 6+ years
Jack and Annie are in for an exciting, scary, and sad adventure when the Magic Tree House whisks them back to the decks of the “Titanic.” Is there anything they can do to help the ill-fated ship? Will they be able to save anyone? Will they be able to save themselves?
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Our Daily Bread: 2023 Annual Edition
Fill each day with everlasting hope and trust!
About Our Daily Bread
Our Daily Bread is distributed around the world and is translated into more than 50 languages. Each month millions of readers turn to the pages of this beloved devotional for inspiration, comfort, peace, and hope.
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Olympic Challenge! (Magic Tree House, #16)
Age Range: 6+ years
It’s off to ancient Greece for the children and the tree house where the first Olympic games is taking place!
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Voyage of the Vikings (Magic Tree House, #15)
Age Range: 6+ years
A tale of high waves and high adventure for Jack and Annie when the tree house lands in the sea off the coast of Ireland. Things get dangerous when Viking ships approach!
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Palace of the Dragon King (Magic Tree House, #14)
Age Range: 6+ years
For this adventure, Jack and Annie are in Ancient China!
When the tree house lands in ancient China, Jack and Annie are told to beware the fearsome emperor . . . It’s not long before they learn the warning is right!
In search of an old Chinese legend, they head to the palace of the dragon king. But he is not pleased to see them! And when they find themselves lost in his spooky burial grounds, only magic will help Jack and Annie escape!
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Age Range: 6+ years
Now master librarians, Jack and Annie are sent on a mission to find a lost story – in ancient Rome! It seems peaceful until the ground shakes and they realise they’re there on the day that Mount Vesuvius erupts and they’re in danger of being buried !
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Icy Escape! (Magic Tree House, #12)
Age Range: 6+ years
Jack and Annie are on very thin ice!
Morgan Le Fay, the magical librarian, sends the children and the treehouse to the Arctic and tells them she’ll send somebody to meet them there. But they’re surrounded by ice and snow and there are huskies and polar bears all around them too – will they freeze to death first?
₵30.00