Private Spanish Tutors - Tips On Finding The Right Spanish Language Expert

Private Spanish Tutors - Tips On Finding The Right Spanish Language ExpertThere are a lot of people who think that the idea of taking a private Spanish tutor in San Antonio is only for those who have lived here for many years. However, if you have been to the United States, you would be surprised by how many people can speak the language. The Internet is full of forums and online chat rooms where people can talk about Spanish courses and discuss their opinions about the perfect private Spanish tutor for you. Here are some useful tips on finding the right private Spanish tutor for you.You need to get your experience with native Spanish speakers in San Antonio. You can do this by attending a course at a native community college or learning from a local Spanish community center. It is also worth checking out Spanish websites that are geared towards helping foreigners to learn Spanish in the area.If you are considering taking a private Spanish tutor in San Antonio, make sure that they ar e licensed and have a background in teaching the language. Check to see if they have other experiences that could be useful in helping you learn the language. It is also important to check the credentials of your tutor.One thing that a private Spanish tutor will be good at is giving feedback on your progress and what you can do to improve it. This helps you learn more than just a textbook in the course. It also helps you to find the best solutions to your problems so that you can learn the language.Make sure that you choose a private Spanish tutor that will help you out while you are learning the language. You need to be taught how to study the language in a systematic way so that you can learn.Another thing that you need to find out is whether the private tutor that you are considering can give you the proper help and guidance that you need. If you are getting bad advice that is not in line with your needs, you should check to see whether you can switch to another private Spanish t utor instead.Also, if you are going to take a private Spanish tutor in San Antonio, you need to make sure that you are able to manage your time effectively. You should be able to work with the private tutor on schedule so that you can learn the language efficiently.So, finding a private Spanish tutor in San Antonio is not that difficult after all. All you need to do is follow the tips that I have mentioned above so that you can go about finding the right one for you.

The mindset of a successful student

The mindset of a successful student Isn't life already hard enough? Especially for a pubescent teenager who does not yet have a fully developed brain? Having to navigate the minefield of social circles, extracurricular activities, and the opposite sex? This is, unfortunately, the norm, not the exception to any rule. And as the adults in the room, we honestly can't help all that much. We went through this process 15, 25, 30 years ago. Before the advent of the Internet. Cell phones with cameras. Social media. And we haven't even gotten to school yet! Successful students, or more correctly, successful teenagers have to balance all these plates, spinning wildly above their heads. The thing about spinning plates though is that they always fall, and never when you expect it. Successful students cannot possibly balance everything. This is where a successful parent comes in. The successful student falls. The successful student fails. The successful student is not perfect. This is why your student may already feel defeated. They are expected to have perfect grades, have perfect relationships, play sports perfectly, and have the perfect amount of self-esteem. Could you do that? How about learning to change thought patterns between classes like English Language Arts and Mathematics, where only critical thinking is truly valued in one and only linear, process-oriented thinking in the other? Maybe you can start to remember your own experiences in school in a different, not so rose-colored light. So what can you do? How can you help? Why is this so hard? And why are there dirty clothes and dishes all over the place? Successful students need a little thing called structure. And yes, I know, this isn’t rocket surgery or Earth shattering news. Like every skill, sometimes a little refining is needed. No, students do not need every moment of their lives scheduled. They do need to sit and get lost in their own heads from time to time. Thirty minutes here, thirty minutes there. They also need to sleep. A whole lot. Like an infant, a lot. Their brains and bodies are undergoing massive physical and chemical changes. It is hard work being a teenager and that is only the part that includes staying alive! This is what I mean by structure. A regular, loose calendar of the activities of the day. Monday through Friday are the easy ones. Wake up at the same time every day. Take a shower (yes, they will have to be told to do it). Dress appropriately. No, those sweatpants or yoga pants are not school appropriate. Eat. The brain needs fuel. Go to school. Take notes. No, you really cannot remember everything the teacher said. No, you are not like Sheldon Cooper. Come home after school. Take a nap. Wake up and do your chores. Work on your homework. If you don’t understand something, come to me. I may not know either, but I have access to resources that you may not know exist. Go to bed at the same time every night. No, leave your phone out here. Tablet, too. This is structure. It’s not really about times, dates, goals, achievements, or anything like that. It’s about a process. A repeatable process. A process with choices. And if things are missed, so be it. But there are consequences. Go to bed late, get up tired. Don’t take a shower, your friends will say you smell. Don’t dress appropriately, you will probably miss out on class. Don’t eat, lose focus in class. Don’t take notes, something your teacher said will probably be on the test at the end of next week. Don’t do your chores, do them during the weekend. Don’t do your homework, your grades will suffer and you will make it up over the weekend. And by the way, straight A’s only mean one of two things. A) The classes are too easy or B) Other plates are falling. Rarely can or should a student maintain a 4.0 GPA. And that’s ok. If you focus on raising a well-rounded person who can follow processes and can self-impose structure, the rest takes care of itself. The mindset of a successful student is one where they don’t have to worry about getting it all done.

3 Benefits of Enrolling Your Toddler into an Early Learner Program

3 Benefits of Enrolling Your Toddler into an Early Learner Program 3 Benefits of Enrolling Your Toddler into an Early Learner Program Your child is growing up and developing new skills each day. Single words are becoming complete phrases and curiosity is abundant. While many are eager to start school like the big kids, the transition to kindergarten doesn’t always go so smooth. In fact, a recent study showed about 20 percent of kindergarten children lagged behind in cognitive development and 31 percent in social and emotional development. Fortunately, the Kumon Math and Reading Program enrolls children as young as three years old and can help prepare your toddler for kindergarten. Its early learning curriculum helps preschoolers develop important skills like the ability to work independently, identify sounds and letters, and strengthen fine motor skills. Here are 3 benefits of enrolling your toddler into an early learner program: Foster a positive attitude towards learning. Children are naturally curious and often question the world around them. For many children enrolled in Kumon’s early learning levels, the centers are their first introduction to an academic setting. The engaging curriculum allows them to experience feelings of success as they progress. This sparks a confidence that can lead to a love of learning. Whether repeating words like “car” or “hat” develops their interest in reading or counting pictures of apples makes them more fond of math, a “can do” attitude often emerges. Instill a strong academic foundation. Kumon develops the solid foundation children need to flourish by teaching them to follow classroom rules, be flexible to new routines and be enthusiastic about learning. Kumon Instructors help children learn important study skills such as following direction and developing self-learning concepts by first demonstrating exercises on the worksheets and then having students repeat the process. Exceed kindergarten expectations by developing fine motor skills. Before students can learn how to write letters and numbers, proper pencil grip and a certain level of pencil skills are needed. In Kumon’s early levels, students learn how to use a pencil and develop skills through the practice of scribbling and drawing lines, curves, and angles in a fun, colorful and engaging way. The aim is not to draw perfectly within the lines, but instead have fun learning to hold and use a pencil. You might also be interested in: Developing Fine Motor Skills: How Kumon Helps Strengthen your Child’s Handwriting Skills Discovering True Potential: An Early Learner’s Journey through Kumon Is your Child Ready for Kindergarten? 4 Ways Kumon Helps Preschoolers Develop Important Handwriting Skills 3 Benefits of Enrolling Your Toddler into an Early Learner Program 3 Benefits of Enrolling Your Toddler into an Early Learner Program Your child is growing up and developing new skills each day. Single words are becoming complete phrases and curiosity is abundant. While many are eager to start school like the big kids, the transition to kindergarten doesn’t always go so smooth. In fact, a recent study showed about 20 percent of kindergarten children lagged behind in cognitive development and 31 percent in social and emotional development. Fortunately, the Kumon Math and Reading Program enrolls children as young as three years old and can help prepare your toddler for kindergarten. Its early learning curriculum helps preschoolers develop important skills like the ability to work independently, identify sounds and letters, and strengthen fine motor skills. Here are 3 benefits of enrolling your toddler into an early learner program: Foster a positive attitude towards learning. Children are naturally curious and often question the world around them. For many children enrolled in Kumon’s early learning levels, the centers are their first introduction to an academic setting. The engaging curriculum allows them to experience feelings of success as they progress. This sparks a confidence that can lead to a love of learning. Whether repeating words like “car” or “hat” develops their interest in reading or counting pictures of apples makes them more fond of math, a “can do” attitude often emerges. Instill a strong academic foundation. Kumon develops the solid foundation children need to flourish by teaching them to follow classroom rules, be flexible to new routines and be enthusiastic about learning. Kumon Instructors help children learn important study skills such as following direction and developing self-learning concepts by first demonstrating exercises on the worksheets and then having students repeat the process. Exceed kindergarten expectations by developing fine motor skills. Before students can learn how to write letters and numbers, proper pencil grip and a certain level of pencil skills are needed. In Kumon’s early levels, students learn how to use a pencil and develop skills through the practice of scribbling and drawing lines, curves, and angles in a fun, colorful and engaging way. The aim is not to draw perfectly within the lines, but instead have fun learning to hold and use a pencil. You might also be interested in: Developing Fine Motor Skills: How Kumon Helps Strengthen your Child’s Handwriting Skills Discovering True Potential: An Early Learner’s Journey through Kumon Is your Child Ready for Kindergarten? 4 Ways Kumon Helps Preschoolers Develop Important Handwriting Skills

Living and teaching in Qatar the 411

Living and teaching in Qatar the 411 Qatar, and especially its capital, Doha, is a haven for expats. In fact, approximately 500 new expats land in Qatar’s airport each day, ready to start their new life abroad. So with such a huge flood of international teachers and expats heading to this Middle Eastern country, what are some need-to-know details about living and working in Qatar? Read on below. Women in Qatar Although Qatar is located smack in the middle of the Middle East, many teachers will find thatthe laws around how women should conduct themselves in public are much more relaxed. Women are allowed to drive in Qatar, and aren’t expected to wear an abaya (the full-length black gown). Modest dress is expected, however, so covering your shoulders, chest, stomach, and knees are advised. Women who are in Qatar sponsored under their husband’s visa are free to enter and exit Qatar as they please and needn’t worry about obtaining an exit permit. Expats in Qatar Coming in at number 164 in terms of size of countries in the world, Qatar’s population is only about 1.9 million residents at any given time. And of those 1.9 million people, Qatar has the highest number of expat workers - mostly from South Asia and the Philippines â€" meaning that native Qataris are outnumbered by approximately eight to one. This, unsurprisingly, is the highest ratio of expats to native citizens in the world. This means that many teachers report that founding friendship circles in Qatar was a painless process for them, and that expat communities and culture in Qatar are thriving. Driving in Qatar To drive a car in Qatar, you’ll need an international driver’s license. Though you can rent a car for a week if you’re only visiting, if you plan to be driving for longer than that, you’ll need the international license. Residents are expected to have a Qatari driving license. The paperwork will be the least of your concerns, as though Qatar is known to be a very safe country with an extremely low crime rate, many expats report that driving in Qatar was a little more thrilling than they’re comfortable with. That being said, we recommend that if you don’t feel prepared to drive in extreme traffic congestion and with aggressive drivers, you look into transportation alternatives. The good thing is that there is a zero tolerance policy for drinking and driving. Traveling in and around Qatar One thing that may come as a shock to teachers heading to Qatar for a position is that you cannot come and go as you please. You’ll need your sponsor’s (work place’s) permission to leave Qatar for any reason - travel, family visits, etc. This is a policy to discuss with your future employer to clarify any concerns. Many employers grant multi-exit visas, and others will provide an emergency contact should you need an exit permit on short notice for, say, a family emergency. Many employers, especially international schools, are understanding and accommodating regarding the issue of exit permits. Qatar is a great place to teach in an emerging economic and cultural hub in the Middle East. If you’d like to explore available teaching positions in Qatar, visit our job board.

What To Look For When You Need Help With Solving Algebra Word Problems

What To Look For When You Need Help With Solving Algebra Word ProblemsCan you find help with solving algebra word problems? Yes, you can find a lot of help with solving algebra word problems on the Internet, but you need to be careful about which help you choose to obtain.If you are looking for help with solving algebra word problems, you can use some of the following methods to locate help. Most of these methods use a search engine's results are often updated daily so you do not have to be concerned about the search. Search engines will allow you to find many kinds of help, but they are very misleading and make it very easy to make the wrong choice.There are hundreds of websites online that claim to offer algebra word problems for free. In many cases, you will be presented with an opt-in form where you will be required to enter your name and email address. If you are lucky, this will not require you to give your credit card information and you can trust that this is not an illegal s ite.Some of these sites will promise you that they will give you free help for solving algebra word problems. These sites will ask you to enter your question in the form and answer their question to verify if you are a human. The companies will give you a small fee for giving them your answer or questions to help you with algebra word problems.Some sites will let you use their data base to verify your answers. This helps you get rid of the opt-in form and the small fee. All you have to do is to enter your answer into the box and press submit. This type of free help is very misleading and will probably get you in trouble.A better way to get help with solving algebra word problems is to use the help of a forum where new sites are being added regularly. You can sign up with one of the many forums to receive free help with solving algebra word problems. It will take a while before the help you will get is good enough and accurate, but at least you will not be required to give your credi t card information and it will be true to what you are trying to get.You can search for all of the different types of help on the Internet and when you find the one that suits you best, just use the forums to ask questions and find out how long the site has been online. Once you find the site that works best for you, sign up with the site and continue to use the forum for your math problems.

Experiments in Physical Chemistry - 6th Edition Review

Experiments in Physical Chemistry - 6th Edition ReviewIn the 6th edition of Experiments in Physical Chemistry, you will learn all about organic molecules, chemicals and their reactions. If you're an expert chemist who prefers to use some of the simpler techniques while making use of the more advanced procedures, this book is for you.This edition of Experiments in Physical Chemistry is nothing new; it is a reprint of the previous editions. There are several improvements in this edition that can't be found in the first and second editions. For example, they have added a chapter on bio-organic chemistry, which focuses on the synthesis of numerous valuable compounds such as the polysaccharides and sugars, the bacterial super-antibiotics, and many others.To make this book suitable for the novice chemist, the same experts have refrained from adding unnecessary new information in this edition. They still cover all the bases and provide you with ample material to keep you busy in the lab. Th e book contains both lab and laboratory instructions. The lab instructions are short and sweet, while the laboratory instructions are more in depth and elaborate.Experimenters will find that the new chapter on the theta basis exchange of monomers is very useful. They have chosen to include this chapter because inorganic chemistry is all about exchanging a set of atoms.Experimenters may not be aware of this but if the reaction they are trying to perform has a step where a few atoms have to be changed, then the transformation of the experiment will take much longer. As a result, the actual experiment must go on for a longer time than expected. So, if your experiment needs to go for a long time, the utilization of the experiment to use the maximum possible sample size is a must.Experiments in Physical Chemistry was one of the first books Iever purchased. Although I am not sure whether I went through the whole first edition or the later editions but I surely want to read the new version . I have tried out the book a couple of times and I had never found any errors. For example, I had a hard time figuring out why the experiments using glucose had a shorter experiment time than the experiment using fructose.One thing I am unsure about is the difference between lab instructions and laboratory instructions. I suspect the latter are the better and cheaper options but let me find out for myself. I am actually planning to buy the second edition of Experiments in Physical Chemistry. Now, if only I had thought of that while making my purchase!

20 Different Types of Guitars The Legends Who Played Them [Infographic]

20 Different Types of Guitars The Legends Who Played Them [Infographic] Jessica Dais While certain types of guitars are standard in modern culture, the instrument has a wide variety of expressions that is nearly impossible to tame. From the ancient Greek kithara to the guitar-like lute from pre-modern Spain, the many different types of guitars vary just as much as the people who play them. Some types of acoustic and electric guitars are more common than others. Steel string dreadnought acoustics and Stratocaster-style electrics are likely to be the first thing that pops into your head when you think of the guitar. But some guitarists find they can’t do what they want with just 6 strings.   In this article, we’ll start with the most common types of guitars, and then move toward the most exotic. We’ll also share the moments that made these guitars legendary. *Click the “Play” button next to each guitar to hear the legend who played it!* 20 Different Types of Guitars Acoustic Electric #1 Fender Stratocaster Guitar Type: Solid-Body Electric Legend Who Played It: Eric Clapton It’s hard to overstate the influence of the Stratocaster. A tremendous pedigree of electric guitarists have made history on this type of guitar. It’s been reissued in hundreds of different designs and is by far one of the most popular types of electric guitars. The slanted, double-cutout body and three-pickup control setup give the Stratocaster both a visual signature and sonic versatility. This guitar probably had its first major introduction to the public from Buddy Holly, but Clapton was one of its most influential proponents. Check out this clip from the song “The Weight” where Clapton pulls the soulful voice of this guitar into its full bloom. #2 Martin D-45 Guitar Type: Steel String Dreadnought Acoustic Legend Who Played It: Neil Young For most guitar enthusiasts today, this is what “playing the guitar” means: the snap and brightness of a 6-string steel, which has strong projection and durability. Many guitarists favor the versatility and clarity of dreadnoughts, but especially singer-songwriters. The Martin D-45 is one of the most common types of acoustic guitars. Check out Neil Young playing a well-loved song that he added to the Rock n’ Roll tradition, below. #3 Fender Telecaster Guitar Type: Solid-Body Electric Legend Who Played It: Buck Owens The foundational favorite of country and rock guitarists, this model is known for its single cutaway body, 2 single-coil pickup system, and characteristic “twang.” Modern country greats like Brad Paisley have predecessors like Buck Owen to thank for popularizing this guitar. Check out Buck and his band playing “Act Naturally.” #4 1969 José Ramírez 1a “AM” Guitar Type: Classical Nylon Acoustic Dreadnought Legend Who Played It: Andres Segovia Singer-songwriter Jason Mraz and fingerstyle genius Earl Klugh favor classical guitars for their round, sweet tone and stability when playing complex lines. These tend to have higher actions (the distance between the strings and fingerboard) and wider necks than many other acoustics. When played with the correct nail technique, they create an unmistakable tone that has been enjoyed by European audiences since the 1600s. For a taste of the secret sauce, listen to the grandfather of modern classical guitar playing the legendary tremolo piece, “Leyenda.” #5 Gibson ES-175 Guitar Type: Hollow-Body Electric Legend Who Played It: Wes Montgomery The Gibson ES-175 has become the iconic example that represents an entire class of guitars: hollow-body electrics. The rich, mid-range tone of these guitars was made legendary in jazz by players such as Joe Pass and Wes Montgomery. (Although the guitar has subsequently found its way into a myriad of other popular styles). Check out the haunting ballad “Round Midnight” below. #6 The National Style O Guitar Type: Resonator Acoustic Legend Who Played It: Son House Resophonic guitars, made mostly by European companies, were favorites of the 20th century Bluesmen. Every legendary country, blues, and rock musician drew inspiration from players of this style. Son House was one of many legendary examples of Bluesmen who used open-tuned, resonator guitars. With their raw feeling and creative exploration with bottleneck slides, these players set the precedent for the coming generations of popular musicians. Keep in touch with the roots and watch Son House play “Death Letter Blues.” # 7 Fender Precision Bass Guitar Type: 4 String Electric Bass Legend Who Played It: James Jamerson Some discover the bass as a first instrument, and others as a crossover from the guitar. Jamerson actually started on the upright bass as a classical player on his path to becoming the legendary bassist that drove dozens of Motown hits. His unmistakable warm, round tone was a combination of the bass’s design and special modifications like flatwound strings and foam mutes. The hearts of many were won by his melodic bass style and thumpy drive as a rhythm player. Numerous legends even as great as Victor Wooten trace their devotion to bass to Jamerson’s influence. #8 The Höfner Bass Guitar Type: 4 String Electric Bass Legend Who Played It: Paul McCartney The tone of this bass is instantly recognizable to any Beatles fan. The emphasis in the mid range and the plunky attack gave a unique flavor to dozens of Beatles songs, such as “When I’m 64.” Paul also liked the balance it created on stage, given the fact that he played left handed and the bass was a symmetrical body design. See this late performance of “Don’t Let Me Down” to feel the magic for yourself. #9 Maton EM-TE Guitar Type: Electric-Acoustic Dreadnought Legend Who Played It: Tommy Emmanuel Maton guitars are typically outfitted with an internal microphone as well as a piezo saddle pickup. This allows for tremendous variety and clarity in the percussive tones Tommy Emmanuel gets out of his guitar, while leaving his fingerstyle tone beautifully intact. Be prepared to be blown away by his performance of “Mombasa,” and let your imagination stretch what you thought was possible with an acoustic guitar. # 10 The 12 String Guitar Guitar Type: Steel String Dreadnought Acoustic Legend Who Played It: John Denver Known for his melodies and lyrics, John Denver arranged his songs with an extremely wide instrumental palette. At heart, he was just a guy with a guitar singing to people, but the use of a 12 string brought a twist of flavor to his repertoire. Check out the orchestral version of “Annie’s Song” and be inspired. # 11 Gibson Lucille Guitar Type: Semi-Hollow Body Electric Legend Who Played It: B.B. King The Gibson Lucille possesses a slightly more moderate tone than the full hollow-body, while still blending acoustic sweetness and electric drive. This unique guitar has other special modifications too, like the elimination of the f-holes to reduce feedback. B.B. King, also known as the King of Blues, has a legendary affection for this and many of his other guitars. # 12 Gibson EDS-1275 Guitar Type: Double-Neck Electric Legend Who Played It: Jimmy Page Though innovators like Michael Angelo Batio and Justin King have branched out into their own uses of double neck guitars, Jimmy Page’s live performances of “Stairway to Heaven” made the heroism of the double neck guitar a fundamental part of rock history. The legend is available for all to experience in the performance below. # 13 The TRB JP2 Guitar Type: 6 String Electric Bass Legend Who Played It: John Patitucci For those who just can’t get enough notes, the 6 string bass is a platform of the imagination. Heavily used in both metal and jazz, one of the first recognized 6 string bass virtuosos was John Patitucci. Patitucci played for Chick Corea on many of his influential albums. The additional scale length on the high C string gives melodies a quality that is hard to find on any other instrument, and the low B canwell, shake the floor. Experience Patitucci’s fusion style with his electric quartet playing “Ides of March.” # 14 The Twang Machine Guitar Type: Cigarbox Electric Legend Who Played It: Bo Diddley The Twang Machine is just one of the many examples of unconventional body types. Having both the look and sound of a tin can, this unique guitar was one of the many showman tactics that made Bo so popular. Check out this performance at the presidential inauguration concert of 1989, when he’s still in great form! # 15 The Purple Rain Guitar Guitar Type: Special Body Electric, Telecaster Style Legend Who Played It: Prince The late legend played a sizable collection of uniquely styled guitars. Taking the visual appeal of the guitar to another level, Prince had several special body designs made especially for him. Having spent a lot of his career experimenting with symbols that expressed his values, Prince’s singular body designs pointed not only to his artistic flair but also to his personal beliefs. Watch him play his famous Cloud guitar in the video of Purple Rain below. # 16 Martin LX1E Guitar Type: Miniature Acoustic Legend Who Played It: Ed Sheeran In popular music, it’s the little things that count. Tons of artists are competing for the narrow band of sounds available in the pop genre, so finding a secret weapon that helps you stand out from the crowd can go a long way. Ed Sheeran has the gift of bringing a unique flavor to his radio work as well as his live shows. His signature mini-Martin is a key tool, and its one of the more unique types of acoustic guitars. It draws audiences in with an effect that can only be described one way: if you want to be heard in a loud room, whisper. The piezo pickup is also great for looping percussion. Check out Ed’s live version of “Tenerife Sea” for a taste of how it all works. # 17 The ESP MX220 Guitar Type: Active Electric Legend Who Played It: James Hetfield In an era where Metal was just beginning to distinguish itself from Hard Rock, Metallica guitarists were leaning toward using active pickups to define their sound. Active pickups have a brighter sound and compress the signal to give the tone more sustain. This sound gave 80s thrash metal bands greater control of dynamics through effects processing, and greater ease with speed techniques like shred picking. The look of this guitar also became a signature for Hetfield, as you can see in this live rendition of “Enter Sandman.” # 18 Epiphone Zenith Guitar Type: Tenor Guitar Legend Who Played It: Ani DiFranco Even at her commercial peak with “Little Plastic Castle,” Ani DiFranco was never an A-List celebrity. Anyone seasoned in the culture of singer-songwriters would tell you that her individuality as an artist surpasses that of most folk legends in the 60s, and her guitar technique is a marvel of spontaneity. She would also most certainly win the Guinness Record for most guitar switches per show, and her Epiphone Zenith would be one of the more interesting guitars in the line-up. Rather than trying describe it, watch DiFranco playing her fan favorite “Little Plastic Castle.” #19 Ibanez TAM 100 Guitar Type: Active 8 String Electric Legend Who Played It: Tosin Abasi Certain players have been able to define the creative direction of a genre purely on the basis of their ability and artistic vision. Tosin Abasi is one such artist who brought the use of 7+ string guitars into greater favor among progressive metal players. For guitarists who just can’t get enough notes, this guitar itself can be the inspiration for the music. #20 The Hamer 5-Neck Guitar Type: Multi-Neck Electric Legend Who Played It: Rick Nielsen Cheap Trick’s lead guitarist developed a guitar with 5 necks modeled after different sounds he liked: a 12 string, a Les Paul Junior, a Fender Stratocaster, a whammy bar neck, and a fretless electric. The Hamer 5-Neck is certainly one of the most outlandish types of electric guitars. Though admittedly unwieldy to play, many electric guitarists will identify with the hunger to have access to more sounds. Watch Ricky capture the vibe in this classic performance of “Surrender.” Each of these guitars is famous because a great player created a moment with an audience that carried that memory with them long after. If you’re a guitarist, remember to take every opportunity to explore the different types of guitars on your journey. Taking a look at the many types of acoustic and electric guitars out there will help you expand your creative horizons, find an instrument that captures your unique sound, and deepen your experience as a guitarist. Feeling inspired to take guitar lessons? Check out the guitar classes  at TakeLessons Live for free today! Post Author: Jonathan B. Jonathan B. teaches acoustic guitar, bass, and more in State College, PA. Jonathan is a Temple University, Music Theory graduate and YouTube celebrity with thousands of subscribers.  Learn more about Jonathan here! Interested in Private Lessons? Search thousands of teachers for local and live, online lessons. Sign up for convenient, affordable private lessons today! Search for Your Teacher

What Role did Pythagoras Play in the History of Math

What Role did Pythagoras Play in the History of Math Who is Pythagoras and What is the Pythagoras Formula? ChaptersThe Early Life of PythagorasThe History of the Pythagorean TheoremOther Important Discoveries made by PythagorasThe School of Pythagoreans in the Context of MathematicsEvery year sees new reforms in the sector of education, reforms which strive to fit the changing values and interests of the government and students alike. It is no surprise that, with each new revision, there are some concepts that manage to stay a part of the maths curriculum.One such example is the concepts discovered and expanded by the great, mathematician Pythagoras. While he is most known for the theorem he gave his name to, the Pythagoras theorem, there still remains quite a bit of Pythagoras in our countless other maths exercises. Cosines, trigonometry, reciprocals, square roots, fractions, geometry, arithmetic, tangent, symmetry â€" discover the influence of Pythagoras in the history of maths!If you're interested in other famous Greek philosophers and mathematicians, check out Archimedes of Syracuse! MyriamMaths Teacher 5.00 (13) £20/h1st lesson free!Discover all our tutors MarkMaths Teacher 5.00 (5) £200/h1st lesson free!Discover all our tutors Dr parikhMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors KamalMaths Teacher 5.00 (9) £30/h1st lesson free!Discover all our tutors PetarMaths Teacher 5.00 (8) £40/h1st lesson free!Discover all our tutors GowsikaMaths Teacher 5.00 (5) £15/h1st lesson free!Discover all our tutors RubenMaths Teacher 5.00 (1) £15/h1st lesson free!Discover all our tutors ConorMaths Teacher 4.75 (4) £30/h1st lesson free!Discover all our tutorsThe Early Life of PythagorasBorn on the Greek island of Samos at the end of the 6th century BCE, Pythagoras is known as one of the greatest mathematicians from antiquity. However, the elements of his history have not been completely proven as no document from his era has survived. While some biographies that include Pythagoras’ life have been found, all were written well after Pythagor as died.Legend has it that some months before his birth, an oracle predicted the birth of a gifted being to Pythagoras’ father. This is how Pythagoras’ name was chosen, signifying “announced by Pythian.”Just as the oracle predicted, Pythagoras proved to be a very gifted child. History tells that at just eighteen years of age, Pythagoras not only participated in the Olympic games of combat, but he won all of the competitions. Athletic and intellectual, the young Pythagoras was interested as a scholar in Greek philosophy, history and the sciences. Some historians have also noted that he was the student of another celebrated mathematicians: Thales.Pythagoras has been the source of inspiration for manyTo continue his studies, the Greek philosopher and mathematician left on a series of journeys would eventually lead him to Egypt. There, he strove to learn from the teachings of the Egyptian priests until 525 BCE, when the Persians invaded the country and took him as a prisoner to Babylon. There, he utilized his time to study the knowledge of the Babylonian scribes.Once he was allowed to return to the island of Samos, Pythagoras started to teach in an amphitheater, but without much success. In fact, it was his attempts at spreading his knowledge that led to his banishment from the city. He decided to flee to Greater Greece in order to fulfill his goal of creating a school, giving lectures and continuing the tradition of Greek philosophers.Pythagoras made it a priority, throughout all of his life, to apply mathematics to philosophical thought. A number of disciples followed him in his experiences and research with the same passion â€" to the point where some have argued if Pythagoras started a sect and not a school.Pythagoras died around 500 BCE, but once again, the circumstances of his death are not well known.Here is a platform to find a motivated maths tutor near me!The History of the Pythagorean TheoremPythagoras has been the bane of many middle and high-s choolers' existence, with many struggling understand Pythagoras’ most seminal concept, the Pythagorean theorem. It must come as surprise, then, to learn that it was not actually discovered by Pythagoras.Engraved tablets of clay, dating back to 1800 BCE, illustrate that the length of triangles and their properties were already well known to the Babylonians, way before the arrival of Pythagoras. However, the reason Pythagoras has gained the credit for this theorem is because he was the first to define it in the way we still earn it today:“For right triangles with the sides a, b and c, the length of the hypotenuse can be calculated by a2 + b2 = c2.”Theorizing this law led Pythagoras to be forever remembered in the annals of history. To thank the gods for having helped him in his discovery, certain accounts hold Pythagoras to have sacrificed a hundred oxen. However, it was not enough to simply form the law into existence, Pythagoras had to prove his theory.The school founded by Py thagoras was in charge of this task, performing many experiments and calculations towards prove this theorem. The work done by these academics inspired countless other scientists, including even the infamous Leonardo de Vinci and Sir Isaac Newton.The Pythagorean theorem has led to many discoveries, such as the Pythagorean tripleWithout numbers, it is possible to also show the theorem like this:“The sum of the squares of the lengths of a right triangle are equal to the square of its hypotenuse.”This formula permits for the calculation of the length of one side of a right triangle, and simultaneously to prove that the triangle is a right triangle. In fact, if the square of the longest side is equal to the sum of the squares of the two other sides, the triangle is a right triangle.The theorem of Pythagoras, still taught today, led to the advancement of a particular type of geometry, known as “Euclidean geometry.”Other Important Discoveries made by PythagorasPythagoras was a ver itable genius in many respects, and not just mathematics. According to him, mathematicians should strive to learn other subjects like music, philosophy, astronomy, mysticism. During the course of his life, he and his disciples adopted this mentality and managed to bring to light many mathematical discoveries.Most notably, Pythagoras discovered the link between the length of a vibrating string and the pitch of the note played on that string. His investigations in to music didn’t stop there, he also played with glasses containing different levels of water and found that each level of water represented a distinct musical note. These works were the basis of research of many other scientists and mathematicians, including Rene Descartes.His advancements in mathematics continued to permeate into many different disciplines and took on many different forms. Here are some of his most diverse discoveries.Pythagorean SpiralThe Pythagorean spiral is a tool that allows for the geometric visuali zation of the square roots of consecutive whole numbers.To construct them, it is necessary to start by drawing a right triangle where the sides of the angle should be equal to 1. From this, basing the rest on Pythagoras’ theorem, the next step is to build a new triangle based on the hypotenuse of the first. One of the sides of the right angle of the new triangle has to be on the hypotenuse of the first. The other side of the angle should have the value of 1.The spiral forms by continuing the construction of the next right triangles in the same configuration as the ones proceeding it. Thanks to this tool, and the concept of right angles, we know the square roots of the consecutive whole numbers that are equal to the lengths of the hypotenuses of the right triangles.The Pythagorean Table of OppositesThis table is largely utilized to teach multiplication tables to kids and adults.The Pythagorean table is simple: it deals with a table containing two columns. In the first column, on th e left, values are written. These values are multiplied, added or divided, with the values to the right. The response is put on the intersection of the two values on the table.This table, utilized for multiplication, can also be used when there is a large amount of information that needs to be accounted for visually. Why not use this in your mathematics exercises to prepare for some upcoming exams?The School of Pythagoreans in the Context of MathematicsPythagoras’ life goal was to teach math and to always have a group of people around him to help him in his scientific inquiries. This is why he found in Cortona, in the south of Italy, a school known as the School of Pythagoras. Likened to a sect, the members of this school discussed not only science but also aimed to be astute philosophers, politicians, and even involved in religion. In general, all of Pythagoras’ life centered around mathematics.The Pythagorean school was considered a sect by someFor this school, numbers were th e centre of everything. Pythagoras and his disciples continued to interest themselves in the divisibility of numbers and led to the famous proclamation: “numbers rule the universe.”The school lasted for 150 years and is totalled to have had about 218 members, members who were known as Pythagoreans.Because much of the work was executed as a team, it is impossible to know the exact identities of the real inventors of various formulas and principles we attribute to the Pythagorean school. They placed an emphasis on studying perfect numbers, associated numbers and sacred numbers. These latter were particularly appreciated by the Pythagoreans.For them, sacred numbers were made up of the sum of many exceptional numbers. The number 10, for example, could represent the sum of 4 prime numbers, the sum of a pair of squared prime numbers and one perfect number, or even the sum of the first three prime numbers.Pythagoras’ disciples and Pythagoras himself were sometimes considered as magic ians by people in their epoque. This belief was mostly due to the fact that the Pythagoreans had discovered a way to trace a regular pentagon, a figure whose five sides are equal.To do this, the small team utilized five equilateral triangles that formed one pyramid with five faces. Once made, the scientists traced the base of the pyramid to obtain the pentagon. The pentagon that was traced by the figure was used as their symbol.The school of Pythagoreans was broken up after a dispute between two political factions within the group itself.Pythagoras and his school played a vital role in the evolution of mathematics. Whole numbers, circumferences, quadrilaterals, perpendicular, relative numbers, addition, parallelogram, decimals, sine, conjecture, scale products, fragment, diamond â€" all aspects of the math we learn today passed through the hand of the great mathematician.

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