How to Choose the Best Tutoring Radio Programs Online

How to Choose the Best Tutoring Radio Programs OnlineDo you know that you can get quality tutoring radio shows by enrolling in an online radio school? Or do you know that all these radio tutoring programs are free of cost? If your answer is yes, then you must have already considered a few of the many online tutoring radio programs that are currently available on the internet. And if you have decided to take up one of these online tutoring radio programs, then there are some important points that you should know before applying.To begin with, when you are choosing a particular program, you need to make sure that you know how you will be able to use it. In other words, make sure that the tutoring radio program that you choose has ample amounts of material that you will be able to learn from. Of course, you can always opt for the ones that are free of cost and will provide you with regular updates of your work so that you will not even get bored.On the other hand, when you are enrolling in a radio school, you need to make sure that the facility that you will be enrolling in offers a reasonable fee as well. After all, if you are paying a fee, then you are expecting something in return. Just so you will be confident that you will be receiving the best in terms of tutoring radio courses, make sure that the tutoring radio program that you are applying to has a very low fee. As a result, you will be able to get quality services.When it comes to selecting the best radio school, you need to look at the maturity level of the student who will be taking up the program. You may be looking for a college course to learn from but if you know that the student is a teenager, then you should know that there are no chances that he will learn the lessons that you want him to learn. Therefore, if you are looking for an affordable fee, you need to make sure that the student you are dealing with is not only of a mature age but also of a mature age in regards to his knowledge.Next, it i s very important that you make sure that the tutoring radio program that you have enrolled in is offering a good quality of training. You may be able to identify the kind of class that you will be attending through its domain name. If you can see that it has the word 'home-study' in its domain name, then you may be able to know that it is a good student-oriented radio program. Just so you will be assured that you will be getting good quality tutoring, make sure that the tutoring radio program that you are applying to have the word 'home-study' in its domain name.You may be wondering why the radio program will require the word 'home-study' in its domain name. The reason is that most radio programs that are sold to radio station owners or advertisers are actually offered with home-study courses. This is so that the advertisers can reach more potential clients who will buy their products and services. The reason for this is that radio stations need to reach out to people who are intere sted in learning about their business.Furthermore, make sure that when you are enrolled in the tutoring radio programs, you will be offered with regular updates on the daily work that you will be doing. This way, you will be assured that you will be receiving quality tutoring that you will be able to learn from.

7 great ideas for outdoor learning

7 great ideas for outdoor learning All children can benefit greatly from spending time in the natural environment. Any learning that is done outdoors will support the development of healthy and active lifestyles whilst offering children the opportunity to express themselves freely and improve their physical state. Outdoor learning offers children the chance to have hands-on contact with the natural world whilst also having direct contact with the different kinds of weather. Learning outside will nurture a child's creativity and develop their imaginations as well as enhancing their personal and social skills, enhancing their mental and physical health and increasing their overall awareness. Here at First Tutors, we have come up with 7 great ideas for outdoor learning to inspire both you and your child and enjoy some quality time together: 1. Visit a zoo As a parent one of my favourite things is our family days out to a zoo with my children. Watching the amazement in their eyes as they encounter different animals and point things out is truly inspiring. There are countless benefits of taking children to a zoo aside from the obvious family bonding time. Children will enhance their language development by learning new words and concepts as well as become aware of the environment and environmental issues. They will also benefit from the physical exercise as zoos normally need a few good hours of walking about. Many zoos also offer hands-on experiences such as feeding a particular animal and there are also usually educational talks which will boost your child's curiosity and increase their knowledge. 2. Explore nature in the forest or garden Exploring nature is a fun and educational way to spend some time with your child. Whether it be in your back garden, a local park or in a nearby forest children can spend the time searching for different kinds of plants and shrubs or examining the different kinds of bugs they find along the way. Setting challenges such as how many different kinds of bugs they can find and talking about them, or how many butterflies they can catch in a net (making sure of course they are careful and always let the butterfly fly free). You can then get them to look up some interesting facts about the things they saw when they get home or make a dried flower book as a fun learning activity. 3. Chalk or sand art We all know the huge benefits children can reap from creating their own art. Aside from relieving stress it encourages creative thinking, boosts self-esteem and provides them with a sense of self-achievement. Simply taking some chalk and encouraging your child to draw on different surfaces outdoors or taking different instruments to the beach and watching them design different pictures in the sand are great ways of encouraging you child to express themselves through art. Taking photographs of their finished masterpieces and keeping a scrapbook is a great idea and will also keep your child stimulated, building their confidence as their skills improve. 4. Magnifying the natural world Allowing children to see the world through a magnifying glass can change the way they see things. Magnifying glasses are available for all ages and there are plenty of things to look at in a garden, on a beach or in a park. Whether it be examining the lines or fine hairs on leaves, the intricate flower parts or the detail of a bugs body, your child will have plenty to talk about, increasing their imagination and vocabulary. You could also have them try to catch different insects and place them in a container so that they can examine them more closely. There are many different kinds of bugs and insects in any garden and I'm sure your child will have plenty of fun both trying to find and catch them and then examine them. 5. Gardening Children can learn a great deal from growing things. Gardening is a fun, healthy activity for children that will see them develop new skills whilst learning about nature and science. Gardening has a large variety of different tasks that children can take on, from planting seeds to watering and weeding. Encourage your child to choose something they would like to plant and to make sure they keep track of it's progress and look after it. Keeping a diary of the progress their plant makes on a daily or weekly basis will see your child grow alongside their plant, developing their skills and enhancing their knowledge. They will learn to be responsible for the caring of their plants whilst learning to understand about cause and effect. 6. Den building Building a den with your child is a fantastic way for encouraging their imagination and creating their own space. Den building is a challenging and fun way of building children's physical and mental skills. A child's den is great for sharing with their friends or siblings and enhances their imaginations as they act out stories or fairy tales. Building a den in your garden using as many natural resources such as twigs, branches and rocks also enhances your child's interaction and understanding of the natural world. 7. Weather walks In the UK we are lucky enough to experience all of the different seasons at various times of the year. Whether it be rain, snow, sleet, sunshine, wind or just plain old cloudiness, the English weather is definitely unpredictable. A great idea for outdoor learning with your child is to explore the different weather and seasons. On a rainy day, put your wellies on and a mac and go for a walk in the forest, on the beach or through the high-street. Then on a sunny, windy or cloudy day do the same and ask your child to note differences they find in the different places you have visited. Visit windmills or look for the different bugs that come out on the different days. Encourage your child to take photographs and keep a diary of all the things they notice when out on the walks. Weather walking will encourage your child to collect evidence by making observations and improve their investigative skills. They will also learn to communicate their findings and build their confidence. To conclude Outdoor learning has a world of benefits including decreasing stress levels, increasing motivation and creativity, developing knowledge, long-term memory building, building social and communication skills and of course family bonding. With so many different activities for children to experience outdoors try to incorporate some learning at every available opportunity.

How to Enhance your Childs Memory - ALOHA Mind Math

How to Enhance your Childs Memory Have you ever met someone who has a photographic memory? They may have similarities to Dustin Hoffman’s character Raymond Babbit in the movie “Rain Man”, who remembers every detail in his life and remembers statistics. Much of school is progressing upon previously learned concepts, skills, and memorization. In elementary school they learn the alphabet, counting, numerals, handwriting, addition, subtraction, multiplication, and division, just to start. Perhaps as adults we do not appreciate our memory until we cannot remember something. Imagine your children remembering concepts and techniques with ease. In junior high school they are able to express themselves and perform well on tests, including essay tests. The key is expanding upon that knowledge and drawing upon it without thinking. These are some of our objectives at ALOHA. “I think some parents try to get their kids to memorize their work by repetitively doing the same work. We are not sure how much it helps memory in general, but at least they have the problems and answers memorized,” said Shweta of ALOHA Mind Math in Mason, Ohio. What can parents do? Parents can improve their childs memory by playing games, like the Memory card games, Concentration, Pass the Secret, or Solitaire. “There are many games we play in class during break time, where we show kids some random pictures and hide them, or arrange in a particular order. Later we take another break and we ask the kids either the order of those pictures or ask them to find the pictures. We ask our parents to do that same game at home,” stated Shweta. Between fourth and sixth grade the amount of new knowledge and homework requirements compound each year, equally increasing expectations on a child’s learning. Reading researcher Michael Pressley suggests that after your child reads a textbook chapter to think about, search, and then write down the main idea. The next step is to write the corresponding facts or ideas. If there is a time span, or many details, it can be helpful to create a timetable, or diagrams charting the supporting subordinate ideas or Remembering lists can be a challenge. One memory technique is to create an acronym. To memorize the colors of the rainbow we were taught ROYGBIV, which stands for R = red, O = orange, Y = yellow, G =green, B = blue, I = Indigo, V = violet. At ALOHA we strengthen the mind and memory. The brain is divided into a left hemisphere and a right hemisphere, performing different activities on each side. Our method and curriculum improves overall brain development. We enhance their ability to visualize, focus, calculate without a calculator, increase their analytical skills and thought processes, resulting in advanced overall academic performance, translating to better grades, happier child, and family. How do you challenge your child’s memory? To locate the nearest ALOHA Mind Math center near you visit www.alohamindmath.com/locations.

Thanksgiving Day 2015

Thanksgiving Day 2015 Thanksgiving Day, one of my favorite holidays, is almost here! We all know this day is the perfect time to give thanks to the Lord for what we have: family, freedom, health and material blessings. But, Thanksgiving is also an excellent opportunity to express our deepest gratitude to all those people who stand by us  through  both our joys and sufferings  for all their support, love, guidance and more. Another good news is we have a four-day weekend coming up! So, forget about work, visit your family and friends, enjoy  watching the Macy’s parade, sharing a wonderful meal, and watching movies. This year, in order to get in the Thanksgiving spirit,  Ive decorated the kitchen with colorful food items and adorned the walls with imprints of leaves, and flowers. Also, I thought it was a good idea to hollow out pumpkins and use them as candle holders.  Furthermore,  Ive learned  some Thanksgiving prayers, made  a playlist of music, and read some funny  jokes, like: Knock, knock. Who’s there? Harry. Harry who? Harry up, Im hungry! Ive even bought a  book about Thanksgiving Day in America. I think its very interesting. Thanksgiving has a rich history, and in many ways, it is the history of America. If you would like to really  learn more about it, read our article Thanksgiving Day â€" Are You Ready For an Annual Food Coma?  or ask one  of our history tutors! And the most important: this year I am going  to cook my very first  turkey. I want  to try the oven bag method, and  Id really appreciate it if you could give me  some  advice  ?? I hope this Thanksgiving will be a special day for all of our  tutors and students! Happy Thanksgiving Day!

4 Subjects Related to Computer Science

4 Subjects Related to Computer Science Students may start at university with an enthusiasm for computers. There is more than one way to learn more about how computers work and many degrees other than a BSc in Computer Science or Computer Engineering can make your ready for work in an area where computers predominate. Today any science, engineering, or technical degree includes computing because computers are incomparable tools for modelling, design, computation, and data manipulation. Below we outline some alternative fields of study that involve computers. Information Science -- Information Science, or Informatics, equips students for a diverse range of endeavors in this field. Informatics can be applied in the practice of information management, technology, research, interactive system design, robotics, human-computer interaction (HCI) and information services. Students will be prepared for employment in information management and technology in the public and private sectors. Electrical Engineering - Students of electrical engineering are trained to design, produce and operate the components and systems that require electric and electromagnetic energy. Fields like electronics, communications systems, control systems, power systems, optics, acoustics, and computers. Many universities offer the opportunity to focus on hardware or computer architecture as part of their degree. Geographic Information Systems - Geography departments sometimes offer GIS - a geography degree with a concentration in Geographic Information Systems. Students who pursue the GIS learn how the uses of geographic information, as well as its sources and development. Digital Arts - A degree in digital arts provides artists with the ability to create with access to new scientific and technical resources. This is a new field with correspondingly fresh areas of knowledge and practice. Digital arts programmes are usually interdisciplinary with students taking courses in sound, video, and time arts. These studio courses are supplemented with challenging study in computer science and other disciplines. Some students study digital arts but instead pursue a degree in design through the university's school of art. These designers train to make and grow the ideas behind the best possible functionality, value, and appearance in the products we use every day.

Learn to Speak Chinese Online Free - A Step by Step Guide

Learn to Speak Chinese Online Free - A Step by Step GuideIf you are looking for the easiest way to learn to speak Chinese online, then you have come to the right place. Here is a very simple and easy to follow step by step guide that you can use to learn to speak Chinese online.The first step is to get yourself comfortable with your computer. What you will need to do is download a language learning program. There are a few different programs out there, so be sure to pick one that is going to teach you in a natural way and not make you use keywords.The next step is to sign up for a couple of different Chinese language forums. You will need to find some good ones, but the more the better. You will be able to find many topics on how to speak Chinese online free, just search Google or Yahoo. Forums can be great for learning because you can ask questions about the language or Chinese culture.The next step is to sign up for a class. There are several methods you can use to learn to speak C hinese online free. I recommend the 'Instant' method. This method works really well because it is very effective and most people who enroll will be able to learn in a few days.The next step is to attend the class. The classes are usually run by a company and they will show you how to say the language phrases. They will also show you how to speak the language and most importantly, learn to speak it fluently.The last step is to talk to an expert. Although you may not know anything about the language, someone who knows the language and is a native speaker will probably be willing to help you out. Most of the people who have studied to speak Chinese online free also have some sort of education that will help them teach you how to speak it.Learning to speak Chinese online free is definitely possible, but the hardest part is to actually sign up for a class. If you follow the above steps, you will be able to learn to speak Chinese online without much effort.

What Is Quanta Chemistry?

What Is Quanta Chemistry?All of us can go about describing quanta chemistry, but few can define it. Even if you read 'I am a Fundamental Scientist' and are familiar with concepts such as frequency and polarity, the definition of quanta chemistry remains elusive to many.Quanta, according to a materialist view, is the smallest unit of any given substance. Therefore quanta chemistry seeks to understand what properties quanta have, how they behave, and whether or not they make up all other substances. To state it in terms that are relevant to quanta chemistry, quanta are the physical ingredients and components of a chemical process or reaction. The chemical elements of a substance are quantized by a chemical atom and are collectively referred to as a quanta.Because quanta constitute the 'essence' of a chemical reaction, they can be characterized as the 'essence' of the elements that make up a substance. For example, when aluminum reacts with potassium in the presence of a catalyst, the r esulting product is a metal or ion. These metals or ions are all defined as quanta according to quantum mechanics.This means that each element can be said to be a compound of the remaining elements that compose the compound. Thus an atom of oxygen or hydrogen can be said to be the 'essence' of both of the remaining elements, while an atom of carbon can be said to be the 'essence' of either hydrogen or carbon.However, according to quanta chemistry, the components of an atom are not the constituents of the substance. Instead, the constituent of an atom is a quanta, which is described as the cause or source of a certain property of the substance. The property might be a chemical reaction that occurs with the presence of a quanta, or it might be a property of the material itself.As was mentioned above, quanta are very small, so they do not interact with other elements. The properties of quanta are purely chemical, and no matter what, a quanta cannot be changed into another material by a ny known chemical process. The reason for this is that to change a quanta would mean that it would be transformed into a molecular component, and any of the possible physical elements could then react to cause further changes.It is quite an interesting process to study the properties of quanta. It appears as though these small chemical entities really do have properties that are similar to the properties of atoms and molecules, and it is somewhat odd to think that these particles that are usually considered so tiny are able to have properties that are actually millions of times smaller than the atoms that make up these particles. Perhaps one day scientists will come up with some kind of new, more detailed definition of quanta chemistry.

Food Groups Carbohydrates

Food Groups Carbohydrates What are Carbohydrates? ChaptersCarbohydrates in FoodThe Risks of a Low Carb DietHealthy Carbohydrate recipe ideas“The brain's preferred source of fuel is glucose/carbohydrates. And when you go on a low-carb/high-protein diet, your brain is using low-octane fuel. You'll be a little groggy, a little grumpy.”                                                                                                                                                                                 Jack LalanneWhen we think of carbohydrates, we think of pasta, bread, rice and potatoes; stodgy, heart-warming meals such as lasagne, pie and mash, or pizza. However, on a basic level carbohydrates are simply sugar and starch. We crave carbs, cut out carbs, eat carbs before exercising and even steal carbs from other people’s plates.Modern diets warn us against eating too many carbohydrates and even advise cutting them out altogether. We are all familiar with the diets, especially featured in women’s magazines that promote low carb intake to slim down for that summer body but they never tell us the long-term effects of fad dieting.The focus on carbohydrates and losing weight should be forgotten; the body needs a variety of nutrients to function at its best. Avoiding one of the main nutrients the body needs is not a good idea when it comes to our general health.So, what actually are carbohydrates and why do we have such a love-hate relationship with them?Chemically speaking, a carbohydrate is a biomolecule and consists of carbon, hydrogen, and oxygen. It comes in two main forms: simple and complex. Simple carbohydrates are mainly sugars such as glucose, fructose, sucrose, and lactose, whereas complex carbohydrates are starch-based, which means they have sugar molecules strung together.Finding nutritionist courses is possible on Superprof.Pasta is typical starchy carbohydrate. (Source:  Eaters Collective on Unsplash)Ca rbohydrates have four main functions in the body:To provide the body with energy;To store energy in the body;To build what are called macromolecules (part of cell function);Make sure protein and fat are spared for other important uses.In knowing this, it is now strange to think that cutting carbohydrates will make our bodies healthier.Find about the five food groups.pick the right ones.So what carbohydrates should we be eating?As mentioned earlier, there are two main variations of carbohydrate: Unrefined (complex) and refined (simple).After eating complex or unrefined carbs, energy is released slowly, which means we are less likely to snack or crash throughout the day. Whereas we eat simple or refined carbohydrates, generally high processed food, we are much more likely to feel hungry quicker and be prone to cravings and binging.These highly processed foods have less vitamin and mineral content, especially fibre and B vitamins, and include foods such as white bread, pasta, rice and breakfast cereals as well as various snacks, sweets and carbonated drinks.These are the types of food that should be eaten sparingly. If these foods are consumed regularly or as the basis of our diets, our bodies can start experiencing problems such as digestive issues and weight gain, which in turn can lead to obesity and heart disease.Eating too many refined carbs can also play havoc with our teeth and hormones leading to acne and other skin conditions. If in doubt, simply stay away from beige foods. Generally, the more colourful your plate, the more nutrients it contains.Complex or unrefined carbohydrates are found in more natural, fresh foods including whole grains, beans and pulses, fruits, and vegetables. These sources of carbohydrates are much healthier for us so it is important to consider opting for wholegrain pasta, rice and bread and plenty of fruit and vegetables when shopping.This is not to say we can’t enjoy our favourite pasta or pizza at the best Italian restaurant in town or enjoy a visit to the local chippy every now and then. It about having the right knowledge and making better decisions day to day.Learn proper dieting with a nutritionist near me.Although not a healthy carb choice, it's okay to have chips every now and then. (Source:  Gilly on Unsplash)The Risks of a Low Carb DietTo put it simply, carbohydrates are the body’s number one source of energy, without them, our bodies have less energy and rely on protein and fat, diminishing the important role these food groups play.Reducing our intake of refined carbohydrates is necessary to maintain optimal health but on the other side, cutting out carbs altogether can have a very negative impact on our bodies in the short term and even more so in the long term.If the body does not have enough sugar, it starts to break down our stored fat. This might sound like a good thing if we are trying to lose weight but this also causes, what are known as ketones to build up in our bodies.  Ketones ar e produced by the liver during times of low food intake. This is a way of the body protecting itself or what is often referred to as ’survival mode’. The body is an amazing instrument!In the short term, ketosis, which is a normal metabolic process, becomes dangerous when there is a build of ketones, causing many negative side effects such as headaches, nausea, tiredness and even bad breath.Cut out carbs for a long period and replace them with high protein foods such as meat and dairy is a potential danger zone. These seemingly ‘healthy’ alternatives to carbs mean the body’s consumption of saturated fat is much higher, which in turn, increases the amount of cholesterol in the blood. High cholesterol is the number one cause of heart disease and stroke. Not something to take lightly.Yet the long-term effects often seem so far from our minds, we tend to ignore the advice when it comes to nutrition, especially when we are pressured to look a certain way. Carbohydrates, like fat , are not the enemy and the more we understand this food group, the healthier we will be.Healthy Carbohydrate recipe ideasThere are plenty of recipes out there to help us create the perfect balance of carbohydrates for every meal. It is not always convenient or affordable for everyone to make big changes to their weekly shop but we can make small changes that will go a long  way.For example, consider baking your own pizza dough with wholegrain flour or energising that salad with lentils or beans. Or, why not opt for sweet potatoes instead of regular potatoes and create colourful, varied meals using it as the base: chop them into fries, oven bake them and add spices for a delicious side dish one day, or bake them whole with your favourite topping the next. There are so many ways to cook  starchy vegetables.Be inspired by authentic Indian cuisine and add wholegrain rice and quinoa to a Biryani dish. Use whole grain pasta in that famous veggie Spag Bowl the whole family loves. Be darin g and fish out that blender hidden in the back of the cupboard to make the perfect red pepper and lentil soup with fresh wholegrain bread for those cold winter days.Get a nutritionist near me here.Team that homemade soup with some crusty, wholegrain bread. (Source:  Wesual Click on Unsplash)Carbohydrates are such a staple in our diets that it is liberating to understand which ones benefit us most and break the low carb habit and, instead, add complex carbs/good carbs to our everyday diet.If we focus on the types of foods that give us the most joy and go online to research inspired recipes and ideas, we soon realise that unhealthy cooking does not always need to be at the heart of our daily lives.Carbohydrates do not have to be the food we feel guilty about eating or binge on after avoiding them for weeks. We can integrate them into our everyday diets and feel healthy and full of energy because  they are naturally high fibre foods that maintain our blood sugar levels.Healthy living d oes not mean we have to be boring and bland in the kitchen. Cooking and eating should be a joy, and research suggests that if we enjoy our food, our overall digestion also improves. So finding that balance between taste and health is crucial. Healthy, unrefined carbs can just be the base, you can decide on the flavour.Read more about proteins.Read more about fats.Read more about fruit and vegetables.Read more about dairy.

The Bases of Geometry

The Bases of Geometry Geometry, From the Beginning ChaptersHow it All BeganEvolution of Geometric StudiesGeometry Studies TodayPractical Uses of GeometryIt sometimes crosses this writer’s mind to wonder about the first individual who looked at a rock and envisioned its possibilities â€" as a tool, a weapon; something that could be made into other useful things…How must one’s mind work to see something so ordinary, so commonplace and see within it endless potential uses?Likewise with recognising shapes, perhaps in oft-repeated patterns, and setting oneself to studying them.Admittedly, triangles, squares and parallelograms are not generally seen in nature; if any geometric shape could be said to be prevalent, it would be the circle or perhaps a sphere.Well, honeycombs and flies’ eyes are constantly-repeating hexagons…Still, doesn’t that thought make you wonder how quadrangles and polygons of all types came to be universally accepted as basic geometrical shapes?Today, your Superprof looks at geometry from its early days unti l now â€" a discipline so fundamental to our way of life that we cannot do without it. 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 tutorsHow it All Began Early geometers did not have tools such as this to solve their geometry problems Image by OpenClipart-Vectors from PixabayAlthough Euclid is widely considered the father of geometry, geometric studies were underway long before he consolidated observations into a treatise.In fact, about 2,500 years before Euclid was born, Ancient Mesopotamians were studying obtuse triangles. Babylonians had compiled substantial empirical data concerning angles, lengths, area and volume to build their fantastic cities and further their astronomy studies.Some of the principles they established are so elaborate that today’s geometers would have to draw on advanced calculus to arrive at the same conclusions those early mathematicians did.Concurrent to Babylonian studies, geometric advances were being made in India. By 800BC, Vedic teachings included what became known as the first statements of Pythagoras’ Theorem in their directions for building a suitable altar for worship.On the other side of the Fe rtile Crescent, Egyptians were forging ahead with their geometric studies as well. They had to have an understanding of geometry; how else would they have been able to construct the pyramids?Finally, Greek minds took matters in hand.Today, we credit Thales with the original mathematical deduction; unfortunately, none of his work survives. However, it is postulated that Pythagoras must have been a student of his because much of his work reflects his proposed teacher’s ideas.Did you know that, besides being mad for triangles of all types, Pythagoras was a world traveller? He made his way to Babylon and kept going until he arrived in Egypt.Some speculate that he was less a geometer than a compiler of already-existing information but what is clear is that he was the first to give deductive proof of what we know as the Pythagorean Theory.A century on, back in Greece, the great philosopher Plato was also a fan of geometry. Because he was so influential, mathematicians soon adopted his c redo: that geometry should employ no tools other than a compass and straightedge.Wouldn’t you know it? Some of the straightedge and compass problems were proven through the usage of the (mathematical) theory of fields to be impossible… but not until about 2,200 years later!Finally, we get to Euclid.Thought to be a student at Plato’s Academy, his 13-book (chapter) treatise titled Elements of Geometry presents certain ‘truths’ - ideas about geometry that are widely held to be correct.You can see for yourself; Euclid’s five axioms are:any two points can be joined by a straight lineany line segment can be extended indefinitely in a straight linea circle can be drawn with any centre and with any radiusall right angles are equaltwo parallel lines bisected by a transversal line form supplementary interior angles…this is known as the parallel postulateThese precepts, proven time and again, form the foundation of the discipline we know as geometry.Today, many of the concepts ex pressed by Euclid geometrically are now classified as algebra rather than purely as geometry, giving irrevocable proof that all maths are related.Have you mastered these basic geometry equations? The pyramids at Giza prove that Ancient Egyptians understood geometric forms Image by jarekgrafik from PixabayEvolution of Geometric StudiesThese classical Greek studies, which included geometry, had to somehow make their way into the wider world, specifically to Europe, where some of the greatest minds were at work.Much of the bounty of the Islamic Golden Age, the period between the 8th and 14th centuries appeared in the great royal courts of the day.Ptolemy’s Almagest, a mathematical/astronomical treatise to this day considered the most influential scientific text of all time, was given to King William I, the second king of Sicily, as a gift.This work and others written by Euclid were translated, permitting further development of Euclidean geometry as well as algebraic geometry. The end result was explosive new theorems and concepts.By this time, the Italian Renaissance was well underway; artists became unlikely beneficiaries of advances in geometric studies; their paintings gain ed depth and dimension from the geometrical method of perspective.Think about Leonardo da Vinci’s most famous work, Vitruvian Man: the exactly-proportioned human form perfectly contained within a circle which itself is ‘squared’ - again, we return to the compass-and-straightedge challenge!Still, information moved slowly; not every Renaissance artist or scholar gained exposure to the latest ideas regarding shapes and equations.Mathematician and philosopher René Descartes levelled the playing field by introducing geometry with coordinates and equations â€" what is now known as analytic geometry.The second big shift in geometric studies of the day was projective geometry â€" how points align with no measurement involved.French mathematician Poncelet blew the field of projective geometry wide open but it wasn’t until Isaac Newton and Gottfried Leibniz, working independently, established calculus as a method of solving geometry’s intractable problems.Do you need a geometry tut or to help you understand calculus as it relates to geometry?Geometry Studies TodayNot everything Euclid postulated was gospel; the parallel postulate proved impossible to prove, which gave rise to a type of geometry that proves the impossibility of that postulate; it was dubbed non-Euclidean geometry.Other theories and discoveries soon followed. One, by Bernard Riemann, applied calculus to smooth surfaces, founding a different branch of non-Euclidean geometry and provided the groundwork for the world’s most famous equation: e=mc2.From there, we’re treated to further developments in algebraic geometry, which led to finite geometry, which, in turn, permitted development in coding theory and cryptography.Topology, the study of the properties of a geometric object, looks at larger aspects of shapes such as their connectedness and boundaries rather than elemental qualities such as length and equality of angle measurements.Today, with computer applications governing so many aspects o f human life, new fields of geometry have taken the lead. Some deal with geometric algorithms (computational geometry) while others concern themselves with individual geometric data sets (digital geometry).Make use of these online geometry resources to further your studies in geometry Everything from drones to satellites operate on a coordinate plane Image by S. Hermann F. Richter from PixabayPractical Uses of GeometryIt seems almost a shame that the field of geometry is so advanced; long gone are the days of Euclid and Descartes â€" after all, nobody is going to rename the Cartesian coordinates system after a current-day geometer.Meanwhile, students in primary and secondary school scratch their heads over why they have to learn the Pythagorean Theorem when there are so many tools at our disposal to measure, calculate and quantify everything.Such a view is painfully short-sighted.You may not ever build a house or a piece of furniture yourself but you surely must appreciate that whoever is involved in the building process, from the architect to the machinist running the lathe that spins the wood to make the chair or table leg, must know geometry â€" otherwise, houses would crumble and no chair would be safe to bear any weight.Everything, from the volume of the gla ss you drink your morning juice out of to the tyres on your car employ geometric principles in their making and in their usage.What if you simply don’t care about straight lines and geometric shapes?If you can’t see a future for yourself in some murky lab, doing calculations all day long, indeed if you’ve reasoned that coding and computer programming is where the money and prestige are at… guess what? You will have to know geometry!If you aspire to become the next great game designer, you should know that everything from vector graphics to the polygons that form the game’s terrain is geometric.What about sat-nav, GPS and even your new flatscreen television? All of them make use of geometry to calculate everything from positioning to pixels to provide you with the optimal experience based on your position.Maybe you’re currently stymied at having to calculate the circumference of a circle or the area and volume of a pyramid now but, the more you learn about geometry and it s functions in the world around you, surely, the more you will warm to this area of study â€" maybe even make it your life’s work!Geometry truly is so much more than obtuse angles taught by obtuse professors…To get you properly started, we've compiled basic Euclidean geometry formulas in this handy table.Basic Formulas of Euclidean GeometryShapePerimeterAreaTrianglea+b+c Pythagorean Theorem: a2+b2=c2Area= (1/2)*b*h b=base; h=height Heron's Formula: Area = sqrt [ s(s - a)(s - b)(s - c) ] , where s = (a + b + c)/2.Square4aa2Other Quadrangles2L + 2WRectangle: l*w Parallelogram: b*h Trapezoid: (1 / 2)(a + b) * hOther Polygonsx(number of sides)Pentagon: (5 / 2) × s × a Hexagon: 1/2(P)(a) Octagon: 2 x (1 + v2) x b2 a = apothem b = baseCirclescircumference: 2*pi*rpi*r 2Now digest this complete guide to geometry.