Think Like A Maths Genius Pdf Free Download
Kathryn Garivay
I am a sophomore in high school and have discovered the joys of mathematics. However,due to sheer irony, at times I find the subject difficult. I am what one could label "lopsided" in my faculties, excelling in languages but always floundering with numbers. This may be biological, for I was psychologically tested and found that my linguistic skills were abnormally high but my spatial reasoning...wasn't (I was diagnosed with Asperger's Syndrome). I do not want this to deter me from pursuing a degree in physics/math and finding work in the field. On the other hand, what if I just don't have the ability and fail? I see the mathematics geniuses at my school (or other students who are just better than me) and I feel horribly discouraged. Recently, I took a math test and felt completely lost, even though I studied diligently and received high scores on other assignments, which may be due to the anxiety I felt as I received the exam. The mere thought of that test kills me, as if it is a reminder that I shall never succeed in the subject no matter how hard I try (I was given a B last semester). I was wondering if those in advanced mathematics have had the same experiences, and somehow overcame their struggles. Is it optimal I should just study a humanities subject even though this is what I like, or is there some way I could find a path in the field? Also, as an aside, what gives you your passion for math? What is the best thing you find about this subject? Perhaps that can force my motivation to the point where I become proficient...
Let me also say that the phrase about "forcing my motivation until I become proficient" worries me a bit. You also ask what gives mathematicians their passion for math and what they like about it. To me this sounds a little like someone who is thinking of becoming engaged asking an older married friend exactly what it was about her spouse that made her decide to get married. If you have to ask, then maybe you should be dating someone else! My passion for mathematics comes from the fact that I love it...it is not really something that can be further analyzed or explained. If you love mathematics, spend more time with it and develop your knowledge and skills. Otherwise keep taking mathematics courses at least until you get to college, but keep your mind open to finding the true object of your affections. It will be out there somewhere...
I'm going to give you some real world advice. Don't listen to people here saying feel good stuff like follow your dreams or desires. Nobody wants to stifle a kid's dreams but at the same time, they are doing the kid a disservice by not telling him/her the truth. At this age, you have no idea what real math is. Once it gets really hard, you may feel that you do not still enjoy it. I enjoyed physics too when I was in high school. It was at a time when it was easy and you got to learn all the fun stuff. The ideas and insights in the hard sciences are very interesting BUT they are extremely difficult. You must be able to pass the hard part to get to the good part. It starts out easy and fun, then extremely hard, then fun again at the end. You don't know what real math is until you've done the extremely hard part. So I suggest to you to not simply say, I like math in high school and I will major in mathematics. Even calculus in college is not real math. Unless you LOVE that calculus course and put all your time into thinking about math and all of its insights and implications, do not devote your life to mathematics. There's no money in it, only love. You may find that you don't love it after all. That's the real world.
To cut a long story short, I decided that I liked the maths better than teaching and so started looking for a job in that field after I finished. Now I work as a developer/mathematician on an agricultural simulator for a large research organisation. Now, I'll be the first to admit I'm not a pure mathematician. A lot of what I do is actually data analysis, but as you probably know that includes a lot of mathematical and statistical work. I am quite fluent in the language of mathematics but I still have a desk reference of the meaning of math symbols because I can't always remember them. I can do a fourier or solve a system of differential equations but I need a reference manual to help me. Mostly because I do them so rarely I need to jog my memory.
If you love maths, then you probably already are a mathematician in reality. I didn't like math at school, and was not good at it as I found it hard and boring. When I went to university on computing, there were all sorts of undreamt of maths areas, which I found absolutely natural. At your age especially, the teacher can make a very big difference. If you enjoy it, keep doing it until it stops being fun.
@sophsommer3 thank you for the packet! ive been thinking about a career change this past month because ive been also recently laid off due to the pandemic. ive been working laborer jobs since high school, even though my best scores were in mathematics i never did pursuit college or any degree using math. i figured now is a better time then ever to teach myself as much as i can with a 6 month goal of having my first job as an internship somewhere. long story short youve made my research time significantly smaller to know the different algorithms for what career i would like to start in!
Professor Stephen Hawking reveals our true potential by challenging volunteers and the viewer to think like the greatest geniuses of the past. Using large-scale experiments and incredible stunts, we'll get to grips with molecular biology, astrophysics and even quantum mechanics. Likewise, we'll learn about the geniuses whose discoveries helped build our scientific knowledge and allowed us to solve questions like "Where are we?" "Are we alone?" and "Can we travel through time?"
Are We Alone? The task is to work out the likelihood of alien life out there in the universe. Cue an extraordinary journey of discovery, involving tons of sand, huge machinery, some straightforward thinking and several amazing, head-exploding reveals.
How do geniuses come up with ideas? What is common to the thinking style that produced "Mona Lisa," as well as the one that spawned the theory of relativity? What characterizes the thinking strategies of the Einsteins, Edisons, daVincis, Darwins, Picassos, Michelangelos, Galileos, Freuds, and Mozarts of history? What can we learn from them?
In contrast, geniuses think productively, not reproductively. When confronted with a problem, they ask "How many different ways can I look at it?", "How can I rethink the way I see it?", and "How many different ways can I solve it?" instead of "What have I been taught by someone else on how to solve this?" They tend to come up with many different responses, some of which are unconventional and possibly unique. A productive thinker would say that there are many different ways to express "thirteen" and many different ways to halve something. Following are some examples.
6.5
13 = 1 and 3
THIR TEEN = 4
XIII = 11 and 2
XIII = 8
(Note: As you can see, in addition to six and one half, by expressing 13 in different ways and halving it in different ways, one could say one-half of thirteen is 6.5, or 1 and 3, or 4, or 11 and 2, or 8, and so on.)With productive thinking, one generates as many alternative approaches as one can. You consider the least obvious as well as the most likely approaches. It is the willingness to explore all approaches that is important, even after one has found a promising one. Einstein was once asked what the difference was between him and the average person. He said that if you asked the average person to find a needle in the haystack, the person would stop when he or she found a needle. He, on the other hand, would tear through the entire haystack looking for all the possible needles.)
How do creative geniuses generate so many alternatives and conjectures? Why are so many of their ideas so rich and varied? How do they produce the "blind" variations that lead to the original and novel? A growing cadre of scholars are offering evidence that one can characterize the way geniuses think. By studying the notebooks, correspondence, conversations and ideas of the world's greatest thinkers, they have teased out particular common thinking strategies and styles of thought that enabled geniuses to generate a prodigious variety of novel and original ideas.
In order to creatively solve a problem, the thinker must abandon the initial approach that stems from past experience and re-conceptualize the problem. By not settling with one perspective, geniuses do not merely solve existing problems, like inventing an environmentally-friendly fuel. They identify new ones. It does not take a genius to analyze dreams; it required Freud to ask in the first place what meaning dreams carry from our psyche.
Once geniuses obtain a certain minimal verbal facility, they seem to develop a skill in visual and spatial abilities which give them the flexibility to display information in different ways. When Einstein had thought through a problem, he always found it necessary to formulate his subject in as many different ways as possible, including diagrammatically. He had a very visual mind. He thought in terms of visual and spatial forms, rather than thinking along purely mathematical or verbal lines of reasoning. In fact, he believed that words and numbers, as they are written or spoken, did not play a significant role in his thinking process.
GENIUSES FORCE RELATIONSHIPS. If one particular style of thought stands out about creative genius, it is the ability to make juxtapositions between dissimilar subjects. Call it a facility to connect the unconnected that enables them to see things to which others are blind. Leonardo daVinci forced a relationship between the sound of a bell and a stone hitting water. This enabled him to make the connection that sound travels in waves. In 1865, F. A. Kekule' intuited the shape of the ring-like benzene molecule by forcing a relationship with a dream of a snake biting its tail. Samuel Morse was stumped trying to figure out how to produce a telegraphic signal b enough to be received coast to coast. One day he saw tied horses being exchanged at a relay station and forced a connection between relay stations for horses and b signals. The solution was to give the traveling signal periodic boosts of power. Nickla Tesla forced a connection between the setting sun and a motor that made the AC motor possible by having the motor's magnetic field rotate inside the motor just as the sun (from our perspective) rotates.
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