Singapore Primary 5 Mathematics Effective Guide (Yellowreef)

Yellowreef Limited
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Additional Information

Publisher
Yellowreef Limited
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Published on
Dec 13, 2013
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Pages
204
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ISBN
9789810518790
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Best For
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Language
English
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Genres
Education / Teaching Methods & Materials / Mathematics
Juvenile Nonfiction / Mathematics / General
Mathematics / General
Mathematics / Geometry / General
Mathematics / Graphic Methods
Mathematics / Measurement
Mathematics / Number Systems
Mathematics / Probability & Statistics / General
Mathematics / Study & Teaching
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Content Protection
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Ian Stewart
The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.
Chris Hughes
Facebook co-founder Chris Hughes argues that the best way to fight income inequality is with a radically simple idea: a guaranteed income for working people, paid for by the one percent.

The first half of Chris Hughes’s life played like a movie reel right out of the “American Dream.” He grew up in a small town in North Carolina. His parents were people of modest means, but he was accepted into an elite boarding school and then Harvard, both on scholarship. There, he met Mark Zuckerberg and Dustin Moskovitz and became one of the co-founders of Facebook.

In telling his story, Hughes demonstrates the powerful role fortune and luck play in today’s economy. Through the rocket ship rise of Facebook, Hughes came to understand how a select few can become ultra-wealthy nearly overnight. He believes the same forces that made Facebook possible have made it harder for everyone else in America to make ends meet.

To help people who are struggling, Hughes proposes a simple, bold solution: a guaranteed income for working people, including unpaid caregivers and students, paid for by the one percent. The way Hughes sees it, a guaranteed income is the most powerful tool we have to combat poverty and stabilize America’s middle class. Money—cold hard cash with no strings attached—gives people freedom, dignity, and the ability to climb the economic ladder. A guaranteed income for working people is the big idea that's missing in the national conversation.

This book, grounded in Hughes’s personal experience, will start a frank conversation about how we earn in modern America, how we can combat income inequality, and ultimately, how we can give everyone a fair shot.

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