This book discusses real sequences and series, continuity, functions of several variables, elementary and implicit functions, Riemann and Riemann-Stieltjes integrals, and Lebesgue integrals.

    Sousa discusses the cognitive mechanisms for learning mathematics and the environmental and developmental factors that contribute to mathematics difficulties. This award-winning text examines:Children's innate number sense and how the brain develops an understanding of number relationships Rationales for modifying lessons to meet the developmental learning stages of young children, preadolescents, and adolescents How to plan lessons in PreK-12 mathematics Implications of current research for planning mathematics lessons, including discoveries about memory systems and lesson timing Methods to help elementary and secondary school teachers detect mathematics difficulties Clear connections to the NCTM standards and curriculum focal points

    When his little sister is in terrible danger, T-Math even saves the day by using his measurable math skills. Is there anything he can't figure?

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    In ancient Greece, young Pythagoras discovers a special number pattern (the Pythagorean theorem) and uses it to solve problems involving right triangles.Book Details: Format: Paperback Publication Date: 4/1/2004 Pages: 32 Reading Level: Age 8 and Up

    Emphasis on developing algebraic skills is extended to the exercises--including both drill problems and applications. The authors work through examples and explanations with a blend of rigor and accessibility. In addition, they have refined the flow, transitions, organization, and portioning of the content over many editions to optimize learning for readers. The table of contents covers a wide range of topics efficiently, enabling readers to gain a diverse understanding.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    Nothing works until Mouse starts thinking mathematically. Wonderful illustrations capture Mouse and her animal friends from whiskers to tails.

    The playful and colorful monsters are designed to give children (and even older audiences) an intuitive understanding of the building blocks of numbers and the basics of multiplication. The introduction and appendices can also help adult readers answer questions about factoring from their young audience. The artwork is crisp and creative and the colors are bright and engaging, making this volume a welcome deviation from standard math texts. CRC Press Author and NPR's Math Guy Keith Devlin spoke with Scott Simon about how the book makes finding prime numbers fun. "This is one of the most amazing math books for kids I have ever seen…," Devlin says. "Great colors, it's wonderful, and yet because [Schwartz] knows the mathematics, he very skillfully and subtly embeds mathematical ideas into the drawings."

    GCF) vows to track it down. Knowing that the villainous Dr. Brok likes to disguise his ill-begotten fractions, GCF invents a Reducer—a tool that strips away the disguise, reducing the fraction and revealing its true form. Equal parts of action and humor add up to a wholly entertaining introduction to simplifying fractions.

    With a catchy refrain (Lemon lemon LIME, Lemon LIMEADE! Lemon lemon LIME, Lemon LEMONADE!), plus simple math concepts throughout, here is a read-aloud that's great for storytime and classroom use, and is sure to be a hit among the legions of Jenkins and Karas fans.

    They are surprised again when the first people they meet beg them to find Lexicon's missing children, who have wandered off, bewitched by lights in the sky. Trekking between villages in search of clues, the cousins encounter a plague of punctuation, a curious creature, a fog of forgetting, the Mistress of Metaphor, a panel of poets, and the illogical mathematicians of Irrationality. But when a careless Mathemystical reflects them across the border into the ominous Land of Night, their peril deepens.Kidnapped, imprisoned, and mesmerized--with time running out--will Daphne and Ivan find a way to solve the mystery of lights in the sky and restore the lost children of Lexicon to their homes?

    students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.

    The Queen has everything, everything except a bed. The trouble is that no one in the Kingdom knows the answer to a very important question: How Big is a Bed? because beds at the time had not yet been invented. The Queen's birthday is only a few days away. How can they figure out what size the bed should be?

    Encouragement. Sanity. On any number of homeschooling days, I've needed all three. It's not that homeschooling is an unwanted chore. Homeschooling my children is one of my greatest joys. It's a privilege. I'm so incredibly blessed by this undertaking. And I'm challenged. I'm pulled. I'm stretched. I'm growing. I'm finding my reheated coffee in the microwave at 2 p.m. wondering where the morning went. Trying hard to soak up the sweet and sacred moments with these souls and miss stepping on the Lego pile in the process. Friend, I'm sure you've felt the same. The pages of Hope for the Heart of the Homeschool Mom is a collection of encouragement to prayerfully strengthen your soul for this God-given journey. A journey that's beyond stretching and beyond worth it.