The Basics of Math—Made Clear

    Basic Math introduces students to the basic concepts of mathematics, as well as the fundamentals of more tricky areas. These 30 fantastic lectures are designed to provide students with an understanding of arithmetic and to prepare them for Algebra(代数) and beyond.

    The lessons in Basic Math cover every basic aspect of arithmetic. They also look into exponents(指数), the order of operations, and square roots. In addition to learning how to perform various mathematical operations, students discover why these operations work, how a particular mathematical topic relates to other branches of mathematics, and how these operations can be used practically.

    Basic Math starts from the relatively easier concepts and gradually moves on to the more troublesome ones, so as to allow for steady and sure understanding of the material by students. The lectures offer students the chance to “make sense” of mathematical knowledge that may have seemed so frightening. They also help students prepare for college mathematics and overcome their anxiety about this amazing—and completely understandable—field of study.

    By the conclusion of the course, students will have improved their understanding of basic math. They will be able to clear away the mystery(神秘性) of mathematics and face their studies with more confidence than they ever imagined. In addition, they will strengthen their ability to accept new and exciting mathematical challenges.

    Professor H. Siegel, honored by Kentucky Educational Television as “the best math teacher in America,” is a devoted teacher and has a gift for explaining mathematical concepts in ways that make them seem clear and obvious. From the basic concrete ideas to the more abstract problems, he is master in making math lectures learner-friendlier and less scary.

    With a PhD in Mathematics Education from Georgia State University, Dr. Siegel teaches mathematics at Central Arizona College. His courses include various make-up classes and a number of lectures for future primary school teachers.

    If the course fails to provide complete satisfaction to you, you can easily exchange it for any other course that we offer. Or you can get your money back.

    Long before they can actually speak, babies pay special attention to the speech they hear around them. Within the first month of their lives, babies' responses to the sound of the human voice will be different from their responses to other sorts of hearing stimulation. They will stop crying when they hear a person talking, but not if they hear a bell or the sound of a rattle. At first, the sounds that a baby notices might be only those words that receive the heaviest emphasis and that often occur at the ends of utterances(讲话，说话). By the time they are six or seven weeks old, babies can detect the difference between syllables pronounced with rising and falling tones. Very soon, these differences in adult stress and intonation can influence babies' emotional states and behavior. Long before they develop actual language comprehension, babies can sense when an adult is happy or angry, attempting to begin or end new behavior, and so on, merely on the basis of clues such as the rate, volume, and melody of adult speech.

    Adults make it as easy as they can for babies to pick up a language by exaggerating(夸张) such clues. One researcher observed babies and their mothers in six diverse cultures and found that, in all six languages, the mothers used simplified utterances and nonsense sounds, and transformed certain sounds into baby talk. Other researchers have noted that when mothers talk to babies who are only a few months old, they exaggerate the pitch, loudness, and intensity of their words. They also exaggerate their facial expressions, hold vowels(元音) longer, and emphasize certain words.

    More significant for language development than their response to general intonation is observation that tiny babies can make relatively fine distinctions between speech sounds. In other words, babies enter the world with the ability to make those precisely perceptual（知觉的，感性的） recognition that are necessary if they are to acquire listening language.

    Babies obviously obtain pleasure from sound input, too: even as young as nine months they will listen to songs or stories, although the words themselves are beyond their understanding. For babies, language is a sensory-motor delight rather than the route to boring meaning that it often is for adults.

    Next time you raise an eyebrow at the views of your partner, friend, sibling （兄弟姐妹） or colleague, remember they could be helping to make you smarter. New research shows that intelligence is not fixed but can be improved throughout adulthood by family members, bright mates and intellectually challenging careers. The study challenges the commonly held belief that intelligence is fixed by the age of about 18.

    Scientific consensus suggests that intelligence is controlled by genes, with environmental factors such as schooling and nutrition playing a partial role up to this age. After this point, IQ scores become steady（稳定的）. But James Flynn, professor of political studies and psychology at the University of Otago in New Zealand, argues that people can "upgrade" their own intelligence throughout their lives. He believes intellectual stimulation（刺激）from others is important as the "brain seems to be rather like a muscle - the more you use it, the stronger it gets". However, the opposite is also true - so people sharing a home or workplace with those who are intellectually challenged risk seeing their IQ levels nosedive as a result.

    Professor Flynn analyzed US intelligence tests from the last 65 years and created new IQ "age tables". He found a bright ten-year-old with brothers and sisters of average intelligence will suffer a five to ten point IQ disadvantage compared to a similar child with equally bright brothers and sisters and special educational treatment to help pull them up.

    Professor Flynn also concluded that although genetics and early life experiences determine about 80% of intelligence, the remaining 20% is linked to lifestyle. This means that people can raise their IQ, or allow it to fall, by ten points or more. He suggested the best way to improve IQ levels is to mix with bright friends, find an intellectually challenging job and marry someone cleverer.

    Walk through the Amazon rainforest today and you will find it is steamy, warm, damp and thick. But if you had been around 15,000 years ago, during the last ice age, would it have been the same? For more than 30 years, scientists have been arguing about how rainforests like the Amazon might have reacted to the cold, dry climates of the ice ages, but until now, no one has reached a satisfying answer.

    Rainforests like the Amazon are important for mopping up CO₂ from the atmosphere and helping to slow global warming. Currently the trees in the Amazon take in around 500 million tons of CO₂ each year: equal to the total amount of CO₂ giving off in the UK each year. But how will the Amazon react to future climate change? If it gets drier, will it still survive and continue to draw down CO₂?

    Scientists hope that they will be able to learn in advance how the rainforest will manage in the future by understanding how rainforests reacted to climate change in the past. Unfortunately, getting into the Amazon rainforest and collecting information are very difficult. To study past climate, scientists need to look at fossilized pollen, kept in lake mud. Going back to the last ice age means drilling deep down into lake sediments （沉淀物）which requires specialized equipment and heavy machinery. There are very few roads and paths, or places to land helicopters and aeroplanes. Rivers tend to be the easiest way to enter the forest, but this still leaves vast areas between the rivers completely unsampled（未取样）.So far, only a handful of cores have been drilled that go back to the last ice age and none of them provide enough information to prove how the Amazon rainforest reacts to climate change.

    With these tips you can finally get a solid night's sleep.

    Reserve Your Bed

    Get into bed just for sleeping. Avoid working, paying bills, reading, or watching television in bed. If you associate your bed only with sleep, you'll be more likely to fall asleep.

    Watch the Caffeine(咖啡因)

    Too much caffeine throughout the day can cause interrupted sleep. Limit yourself to two cups of tea, coffee, or cola, taken at least 6 hours before bedtime.

    Tap the Exercise Answer

    In a study from Stanford University School of Medicine, a group of 50- to 76-year-olds who had complained of sleep problems began proper exercise for about half an hour four times a week. Compared with a similar group of people who didn't exercise, the more active group slept an average of one hour more each night, took less time to fall asleep.

    Take a Bath

    Take a warm bath an hour or two before bed. Your body temperature will slowly drop after you get out of the tub（浴盆）, making you feel tired. Don't bathe right before bed, however, because it can briefly stimulate you enough to make it hard to fall asleep.

    Buy the Right Bed

    A bed that's too soft can cause poor sleep. Replace your mattress(床垫)if it's more than ten years old, and buy one that's as firm as you can tolerate but still comfortable.

    If 30 minutes go by and you haven't fallen asleep, don't lie in bed feeling frustrated. Get up and do something relaxing.

    Do you have any stress in your daily life and do you know how to reduce your stress?

    Our world is changing with ever increasing speed and many people are finding it difficult to keep up with it. Although no one can control the world at large, people do have the power to control their personal world by controlling stress and their responses (反应) to it.

    Of course a certain amount of stress, both physical and mental is normal and healthy for humans but too much can be fatal. According to a report on the Mayo Clinic's website, "80% of patient visits to their doctors are stress related. Almost 60% of all employee absences from work are related to stress. Over one million people (in the U. S. ) die each year due to diseases related to stress. This includes obesity(肥胖), lung cancer (due to smoking), heart disease and high blood pressure. "

    The result of stress or the way it shows in a person's life is, in part, their reaction to the situation. Some of the ways in which stress "shows up" are signals that need to be recognised, before more serious conditions develop. A few of these are: stomachaches, chest pain, anxiety, depression, low self-esteem (自尊) and impatience.

    The good news is that these reactions can be changed naturally. By using positive suggestions a hypnotist (催眠治疗师) can help us make great changes. A deep, relaxing hypnotic rest is a very safe, pleasant and enjoyable process and stress reduction is a natural by-product.

    If you would like to get the tools to reduce stress naturally, hypnotism can be very helpful. A professional hypnotist not only guides people through stress reducing exercises and offers suggestions for dealing with stress, but also teaches self hypnosis skills which can be used throughout life.