Here’s why YOU Should Consider a Tutor for That Extra Push 

 

School Of Thought

We all need support. There are times where we’ll need it more than usual, but needless to say community is an incredible resource. Support is a way to surrender to our vulnerability and seek a little comfort. 

And when it comes to education, support is not just a resource but a NECESSITY.

Everybody is adept in different fields of knowledge, so stepping into areas of unknown can be quite frustrating. It’s especially uncomfortable for young kids, who get frustrated much easier when they don’t receive instant gratification (or understanding). 

If they’re in traditional schooling, they’re probably learning multiple subjects at a time- and that can get overwhelming! It’s difficult to expect perfection in EVERY area they embark on, so what’s a kid to do?

That’s why it’s super important to consider any and all resources available to them! Outside of a regular classroom setting, there’s a multitude of ways to incorporate extra care to supplement education. One of the more personalized experiences is hiring or finding a tutor!

Tutors can explore ANY subject, from writing to science to math and even to test preparation. They’re especially useful for math education since so many kids are not naturally affluent in this dense discipline.

But what REALLY makes a tutor so enthralling? Oh, let us list the ways!

 

Why Tutors Are Worthwhile

Tutors are personable, malleable, and considerate people able to provide a refreshing perspective to a learning experience. They may bring new and even revolutionary approaches to comprehending the fundamentals or machinations of an educational area. 

What are the integral benefits of hiring a tutor? Well… here are some core benefits just to name a few!

Provides an Intimate Experience: Tutors not only provide a unique learning experience but it’s a direct exchange between an educator and student; that constitutes a nurturing atmosphere! You can find tutors that work one-on-one or in smaller group volumes, which can make the actual environment less distracting or intimidating! There are going to be private educators that will work with your needs or goals, and may even introduce new ideas to broaden your tool kit.

Have An Individual Approach: Every tutor is going to bring something different to the table. What’s so inspiring about tutors is their unique perspective and teaching styles! While traditional teachers & educators do the same- they do have to follow institutionalized rules and regulations. Tutors show up to their containers bringing a lifetime of experience, knowledge, OTHER resources, and more to cultivate a one-of-a-kind experience. 

Easily Accessible: With the age of technology comes more and more ways to access what we need- especially amidst a global pandemic! One of the coolest things about seeking a tutor is the various platforms you can discover them on! Aside from the usual in-person options, you can find a virtual tutor as well! This goes to show how flexible and accommodating tutors can be, and it doesn’t limit you to a certain proximity! Tutors can be found anywhere and passionate about helping you achieve your desired outcomes.

Primarily There to HELP You: Although this is a full-time or part-time profession for these people, they’re all there to help YOU. Tutors are passionate about bringing new and refreshing ways to learn into someone’s space, which is what makes each and every encounter with them so amazing! Regardless of the amount of students they teach at a time or the subject at hand, the tutor is there to give that extra push of support and accountability you need to level up your learning!

 

What To Consider

Aside from ALL the benefits of hiring a tutor, there are a multitude of things for YOU to consider so you know what exactly to look for.

Here are some powerful questions to help you get started:

  1. What are you looking to learn more about, or master? This is going to help you niche the content demographic for your future educator.
  2. If you’re looking for someone else (i.e. a child you interact with or student you teach), what seems to be their biggest setback?
  3. What ACTUALLY needs to be broadened: the understanding of the content, or methods to better execute it? Some people have harder times understanding the functions of what they’re learning rather than the content itself.
  4. What are some qualities and characteristics you want to experience with your tutor? 
  5. Are there any other learning accommodations you need to consider?
  6. Do you learn better in-person, virtually, or a mix?
  7. What kind of learner are you (visual, auditory, kinesthetic, audiovisual)?

A brief look into one of Seattle’s top neighborhoods, and all it has to offer

 

A Place To Be

Located in the most northwest major city of the continental US is the largest city in the Northwest, Seattle!

Known for its vibrant greenery, diverse culture, bustling nightlife, and so much more- there is something for EVERYONE looking to visit or live in this beautiful place. Seattle is especially unique- it’s located on an isthmus between the Puget sound and Lake Washington. An isthmus is a narrow strip of land with sea on either side that formulates a link between two bigger areas of land.

Packed inside this little gem of land is eclectic people, trades, nature spots, even art! Although the city’s first dabble of industry began in logging, Seattle has flourished into many more industries. Some of the world’s largest corporations such as Amazon, Costco, Microsoft, Starbucks, Nordstrom… the list is endless!

Seattle has become a hub for young professionals, growing families, really anyone who wants a healthy mix of rich nature in AND out of their urban environment. And of course, like many other cities in America, Seattle has branched into an assortment of neighborhoods that can cater to every personality with their unique interests.

But which is the BEST? That’s a pretty subjective question with an even more subjective answer, but we’ll take a look into one of the highest quality neighborhoods located in Seattle as well as its demographic and things to do.

 

A Community within A Community

Seattle’s finest may be a small, tight-knit community but it packs a punch! Located on the western shore of Lake Union, just outside of East Queen Anne is Westlake. Westlake was just nominated as the number one place to live in Seattle as well as one of the top places to raise a family!

It’s a very dense urban neighborhood, which insinuates that a majority of the population rent their residences. However, if you walk along the narrow neighborhood you’re sure to spot interesting homes and condo options! The ideal attraction of this neighborhood is its close proximity to downtown, which means the commute isn’t as arduous!

For the populace that are starting a family or already have one, we didn’t forget about you! Although this spot is great for young professionals and anyone who works downtown, there are amazing school options that are highly rated!

Some public options include: Cascadia Elementary, Ballard High School, and Thornton Creek School! If you want a more private education for your kids, then the well-known Lakeside School might be a fit for you! 

Don’t let its small size fool you! 

There are plenty of things to do, such as fun restaurants and decent nightlife. 

 

Things To Do

Ride the Westlake Bikeway: Also known as the Westlake Avenue North Cycle Track, it’s a protected bike lane. It runs the length of Westlake, but the best part? It connects Downtown Seattle directly to the Burke-Gilman Trail. It is SUCH a wonderful hotspot to hit as an avid biker, it gives you the chance to enjoy your favorite pastime and get a taste of the city!

Visit the “Sleepless in Seattle” Floating Home: If you’re familiar with the flick “Sleepless in Seattle” starring Tom Hanks, you definitely know which house this is! It’s not as easily visible on land, which makes this an excellent opportunity to rent a kayak or boat and take a peek at the most recognizable house in Seattle!

Chill Out in Lake Union Park: Bordering right on the line between South Lake Union and Westlake is this 12-acre beauty of a park! They have a tiny beach on the lake, lots of open space, a fountain to sit by, and is home to the Museum of History and Industry as well!

Take a SPIN at the Electric Boat Company: Take in the breathtaking views of Seattle on this fabulous little boat! They offer both standard and luxury Duffy boat options, you can even gather a group of up to 12 to take the fun scenic trip with you! A fun feature they offer for ages 25 and up is a chance to steer the wheel of the boat yourself! 

Visit the Swedish Cultural Center: This is a center representative of the rich, dynamic, amazing Swedish culture. They offer a wide array of activities such as virtual culture & language courses, weaving classes, a book club, dancing, folklore, and more. One of their major appeals is the first Sunday of every month- they offer authentic Swedish pancakes! 

Try out Kenmore Air: At the south end of Lake Union is a Kenmore Air seaplane terminal. You can book a flight to explore Seattle both in the air and on the water. They also provide trips to explore some of Washington and Seattle’s greatest tourist attractions.

Explore the Westlake Greenbelt: Greenbelt is a term used to generally address a type of underdeveloped environment. They have clean air and water, productive farmlands, really land that isn’t populated with humans or civilization. Enjoy the wooded slopes and greenery of Seattle’s smallest greenbelt and appreciate the bounty of its nature.

How Seattle, Washington has become a hub for both historical and recent math figures to pave way for the development of math education

 

The Pacific Northwest has always been quite a unique region of the North American continent. Known for its stunning coastline, calming rainy temperament, green appearance, and more obviously progressive demeanor, the PNW has become an innovative hub for various corporations and companies.

Aside from the large corporations that inhabit Washington, there are communities within the state that have taken matters into their own passionate hands.

In recent years, Seattle has become a very innovative hub for education. With lots of flourishing institutions in all areas of education, it’s no secret they provide nothing but the best for their students.

But what was education, specifically math education, like back in the 19th and 20th centuries? It was just as vivacious, determined, and full of promise. Thanks to many passionate yet intelligent minds in the field of math, Seattle was the location of many career peaks (even birthplaces) for a healthy amount of notable mathematicians.

Who are they, what did they do, most importantly what did they leave behind? Here are FIVE incredibly recognized and praised figures in math and math education.

 

Notable Seattle, Washington Mathematicians

Victor Klee (1925-2007)

He was known as one of the University of Washington’s most prolific faculty members with the Mathematics department. He spent almost his entire career as a math professor at the University of Washington until his retirement in 2000. Much of his work specialized in convex sets, functional analysis, analysis of algorithms, optimization, and combinatorics. Klee was not only known as an exceptional teacher but what many described as vibrant energy with a desire to create an impact for fellow young mathematicians.

 

James A. Morrow (1941-)

As a Professor Emeritus at UW (an active scholar even post-retirement), Morrow received quite the amount of recognition for his extraordinary teaching. His work evolved from differential geometry and complex variables to discrete inverse problems. Morrow has won numerous awards of recognition among the Pacific Northwest, but especially in Washington. In 2005, he won the Pacific Institute Mathematical Sciences (PIMS) Education prize; he also received the UW College of Arts and Sciences Distinguished Professorship the same year.

 

James B. Carrell (1940-)

A Seattle native AND scholar, Carrel received his Ph.D. in Math from the University of Washington under the supervision of Carl B. Allendoerfer. Carrells’ extensive work in mathematics has revolved around concepts such as algebraic geometry, transformation groups, & differential geometry. He even got a theory named after him when he studied theorems in complex algebraic geometry regarding zero sets within a holomorphic vector field. Currently, he is a Professor Emeritus at the University of British Columbia.

 

Eric Temple Bell (1883-1960)

Bell is a Scottish-American mathematician and educator who made contributions to analytic number theory, or the methods within number theory founded by mathematical analysis to solve integer problems. He was an exceptionally speedy student, earning his Masters at UW in just one year (and his Bachelors’s from Stanford in two). Upon receiving his Doctoral degree, Bell took a teaching position at the University of Washington. His most famous works are books: Men of Mathematics (1937) and Mathematics, Queen and Servant of Science (1951). 

 

Carl B. Allendoerfer (1911-1974)

Allendoerfer spent his early career teaching at Haverford College but continued his influential studies of differential geometry at the Institute of Advanced Study (1948-1949). In 1951, he became a Professor at the University of Washington then later the Chair of their Mathematics Department! He was credited with the establishment of the Summer Institute of Mathematics at the University of Washington. Allendoerfer also went on to publish an assortment of math textbooks.

 

What Does The Future Hold?

Washington state has proven with time that it emphasizes the need (and want) for a revolutionized education system, for all ages and passions.

Even back then, mathematicians wanted to create nothing but a wealth of knowledge and information for many to benefit from!

More recently, Seattle’s K-12 district has become a hub of comprehensive math education. Within the last few years, Seattle has received recognition for its strive to promote a new math curriculum that also incorporates social justice. 

They declared their initiative to combine ethnic studies with math education back in 2019. They believe infusing ethnic studies with math will cultivate newfound enlightenment for their students, allowing them to understand and embody the necessity for social equality. 

The district’s conceptualization of its ideal curriculum directly indicates their meticulous consideration and planning for this revitalized framework of extensive education. With the rise of ethnomathematics comes a rejuvenated, engaging approach to expanding cultural awareness – and therefore equity.

Seattle has remained and continues to be, an enthralling environment for education to grow. 

A common misconception many people have about math is that it is an inborn skill.

This is not entirely true. Math is a complex and difficult skill that can be acquired given the right circumstances. Basically, what you need is a lot of patience and practice and good teaching! 

 

Today, we’ll give you Tips and Tricks for How to Improve at Mathematics. Remember that what works for another student may be different from what will work for you. But still, we believe that whatever level your math skills are, if you apply these tips and tricks, your math abilities will improve considerably. What are our best tips and tricks for how to improve at mathematics? 

 

Develop Confidence in Yourself 

There is a general notion that math is tough. While this may be relative, the outcome for you depends on your perception of yourself. When you believe you can learn anything you develop a strong sense of confidence. This boldness will help break down any barriers standing in your way.

 

Know Your Math Basics 

Mathematics is a subject based on levels. It’s like a puzzle. Each piece of knowledge is a tiny building block from which you construct your overall ability. These basic skills include addition, division, subtraction, multiplication, fractions, decimals, and percentages. You cannot jump into solving simultaneous equations without first learning how to manipulate variables.

 

Try Out Math Games 

The best way to learn math is in a relaxed atmosphere. Playing math-related games creates an atmosphere for learning devoid of the pressures like conventional schools. Most importantly, it helps in conditioning your mind to reason logically. 

 

Practice Math Questions and Quizzes Practice

One thing we’ve found out is that people trying to get better at math often give up easily. Mastery is not something one achieves at the snap of a finger. You have to put in the work. Practice regularly. If it is possible, create a routine for it. the more you encounter and solve math problems, the more proficient you become. 

 

Learning From Your Errors 

Say you fail a math problem in school, what do you do? Shrug, take the grades and move on? You can be sure you won’t understand that math problem. Ask someone who knows how to solve the problem – maybe a classmate or your teacher – what you got wrong. If you understand your error, you will be better poised to solve the math problem in future. 

 

Always Break it Down 

To be honest, math can be scary, due to the complexity of the problem. But don’t be put off easily. A trick that always works with math is breaking down a problem. When you are confronted with a question, first start with the known part of the problem and progress to the unknown. This especially works with word problems and equations. Just take it one step at a time. 

 

Find Real-Life Applications for Your Math Knowledge 

The goal of mathematics is to teach you how to solve real-life problems systematically and logically. Practice using math in everyday scenarios. This will go a long way to making knowledge an integral part of your life. 

 

Solve Your Questions On Paper 

Solving questions on paper instead of your head will go a long way in helping you understand math. It is always easier to make sense of what you are seeing. When you are given a question to solve, especially when they are word problems, write out the equation on paper for easier understanding. 

 

Ask Questions 

Sometimes, students find it hard to ask questions. It is not a crime if you tell your teacher that you do not understand how they solved a particular math problem. Your teacher would be glad to help out when you ask and would do what is needed to help you understand. Don’t be quiet. Ask for help when necessary. 

 

Use Online Resources 

One of the things our generation should be thankful for is the invention of the internet. There is virtually nothing one cannot do online. You can become better at math by taking lessons on the internet. At mathtutoraustin.com we have resources that can help you build your math skills. We have highly qualified tutors that can teach all you need to know. Check in with us and we will be glad to help. While this list may not be exhaustive, as you grow in your learning, you will discover and devise techniques that will better suit your style.

 

To broaden the education of math or young students, incorporate intersectionality and stronger inclusivity to ensure that no one profile of a person is recognized and accredited with the development of math

 

Much of the historical accounts involving math have pinpointed male figures’ prominent efforts. 

 

As much as we greatly appreciate their pioneering, there are multiple female figures who have expedited the evolution of mathematics just as effectively. 

 

It’s just not as heard about or publicized because up until quite recently in history, women weren’t even allowed to attend university or lectures that would provide them with resourceful material.

 

However, that hasn’t stopped a great amount of them from getting what they’re passionate about.

 

Women have long endured discrimination in varying forms, striving to establish equality and receive the same level of opportunity as others in their desired fields. 

 

It’s important to commend their work as well, regardless of their background, in the name of historical accuracy and also in the efforts to provide intersectional equity and appreciation.

 

Below are five of the many women in the field of mathematics that have utilized their intellect, wits, drive, and magnetic feminine energy that’s earned them well-deserved success.

 

  • Hypatia (appx. 350 or 370 to 415): Believed to be one of the first women to have taught mathematics, Hypatia was described by Socrates as “[to] far surpass all the philosophers of her own time”. She contributed to the mathematical commentary of famous works alongside her father, famous scholar Theon of Alexandria. She also contrived books to help her students understand math; Hypatia was also an astronomer so her quantitative skills were greatly applicable to various fields of study.

 

  • Sophie Germain (1776 to 1831): Reading about Greek mathematician Archimedes in her father’s study is what fueled Sophie to explore her newfound interest in geometry and Latin. She wasn’t given the same opportunity to receive education in math due to being a woman, so she would submit her works under a false name! Her hard work is what aided her in becoming the first woman to receive an award from the French Academy of Sciences!

 

  • Ada Lovelace (1815 to 1852): As the child of famous poet Lord Byron, the Countess of Lovelace was drawn away from emotional disciplines and thrown into education regarding math as well as science. After being offered to transcribe a translation about one of the first forms of computers ever invented, she created her notes thus sparking the first worldly acknowledged computer program.

 

  • Sofia Kovalevskaya (1850 to 1891): Since women in Russia were unable to attend intellectual lectures, Sofia Kovalevskaya had the privilege of being privately tutored once she relocated to Germany with her husband. Following her spouse’s death, she became a mathematics lecturer at the University of Stockholm; she was the first woman in Europe to receive a professor’s position! 

 

  • Emmy Noether (1882-1935): In the words of the infamous Albert Einstein, he regarded Noether posthumously as “the most significant creative mathematical genius thus far produced since the higher education of women began.” Wow, what a statement! Emmy was most well known for her efforts in abstract algebra, which is what she received her Ph.D. in. She worked closely alongside Einstein by aiding in developing the framework for his theory of relativity, which happened once she left Europe and landed her first teaching position in America. She also made personal strides in the field of algebra. 

 

Now, there is an assorted amount of women beyond these five that did just as much and more for the evolution of math. These women are heavily prominent due to their rewards and successes being the first of many in the environments they grew up in. Not only that, but prominent male figures in the industry experienced firsthand their intellectual capabilities; the praise they received from these men is what also enabled their infamy to grow. 

 

Despite any male attention or validation they did receive, women are just as capable of fortifying the theory and practice of math as men. Due to many societal confinements throughout history, their innate characteristics have unfairly worked against them. 

 

Even though our present-day doesn’t experience the same form of severity, there is subconscious conformity of opinion against any woman who desires to explore fields heavily male-dominated. 

 

I encourage everyone to motivate young minds to explore topics, especially educational ones, despite who dominates them. If you happen to be an instructor of children of varying identities, implement a community of equity and fairness. It’ll ensure they all have the same opportunity to pursue their passions and exercise their infinite childlike wealth of wonder and knowledge

Algebra has challenged and confused many human beings throughout the course of history, especially in the development of mathematics. However, this is no recent feat; algebra originated over 4,000 years ago! In order to best understand what algebra is at its core and how it came to be, we must sort through its slow and intricate history.

First of all, what IS algebra? Algebra is a branch of mathematics that converges arithmetic and abstract numbers rather than actual numbers. Typically, the abstract symbols are letters and there are various instances where you solve the equation to extract what the abstract symbol(s) represent (if an answer to the equation is already given). Based upon certain formulas and their functions, however, you plug in numbers in place of the abstract symbols to ascertain particular answers.

Much of algebra’s history occurs in the Classical civilizations that populated the Mediterranean and Asia. Research has shown that the first accounts of algebra dates all the way back to the time of ancient Egypt and Babylon. There were rhind papyrus scrolls utilized by the Egyptians dating back as early as 1650 BC! This is a direct indication that the Egyptians, for whatever reason, were using equations to calculate the growth and expansion of their empire.

What’s interesting is that the scrolls showed their ability to use TWO equations for two unknown quantities (i.e. the quadratic formula). This practice has been dated back to circa 300 BC, so the Egyptians were developing their own personal usage of algebra for quite a healthy amount of time when developing their civilization.

The Babylonians were well known for chronicling their lives on grand clay tablets, which is EXACTLY where the first equation was found! What’s incredibly compelling is that the Babylonians based their arithmetic on increments of 60, whereas our modern day decimal system is based on increments of 10. They also never really used zero and heavily utilized tables to construct their equations.

Since algebra has been tracked back to the core of early Mesopotamia, it can be accredited to the evolution of science, technology, and the evolution of human civilizations as a whole.

Although the first civilizations such as Egypt, Sumeria, & others began to utilize these algebraic principles to advance their lifestyles, the Greeks really formalized many algorithms we use today.

The Greeks are accredited with one of the most monumental discoveries in algebra. In circa 430 BC, while trying to find out the ratio between the side and hypotenuse of a right angle triangle, the Pythagoreans determined that not all lengths are proportional to one another. This is especially confounding, thus came the creation of the Pythagorean Theorem (a 2 + b 2 = c 2 ).

Following this theoretic discovery came an array of other mathematical contributions from the Greeks. For instance, Euclid’s Elements (300 BC) and the creation of proportions by Eudoxus of Cnidus (400-350 BC).

However, one of the first “Fathers of Algebra” didn’t come around until 250 AD). An Alexandrian mathematician named Diophantus wrote the book Arithmetica. Even though much of that book was lost, Diophantus made great efforts in solving algebraic equations as well as creating solutions we use today.

Additionally, Diophantus introduced one of the earliest systems for polynomial equations. A polynomial equation is “composed of a sum of terms, in which each term is the product of some constant and a nonnegative power of the variable or variables” (Britannica, 2021). Because polynomial equations are so general, it can be applied to many different mathematical relationships; Diophantus was just the first to organize it.

Civilizations in Asia such as India and China progressed moderately in their own exploratory measures with mathematics! Indian mathematicians such as Brahmugupta and Bhaskara II constructed very meticulous (and nonsymbolic) equations for solving equations that had more than one variable or in the first and second degree.

Still, probably the most profound contribution made by Indian mathematicians was the establishment of the decimal system! That’s right, they were right on the money when creating this numeral system to account for the infinite amount of numbers that exist in our universe. Not only that, but the Indians were much more expedient and efficient when working with positive AND negative numbers; they even accounted zero and correct rules to follow!

These principles were very existent in India around the 9th century. On the other hand, there are accounts to point to the notion that these were communicated to surrounding populations such as China and the Islamic domains! It’s crazy to think that these very important systems weren’t even practiced by the Eurpoeans until several hundred years past their initial birth!

The 13th and 14th centuries start to promise Europeans endeavors into the world of math, considering the contributions the previous civilizations were perceived as academic affairs. Nonetheless, Europeans artists and theorists go on to further excavate the usefulness of algebra in their cultural creations.

Without the Classical civilizations & their applicative approach to mathematics, much of what we incorporate into our daily functions would probably not be as evolved. The next time you pick up a fancy graphing calculator or handwrite out your formulas, reflect on those who made the most of the resources they were given.

Britannica, The Editors of Encyclopaedia. “Fundamental theorem of algebra”. Encyclopedia Britannica, 16 Jan. 2017, https://www.britannica.com/science/fundamental-theorem-of-algebra. Accessed 14 October 2021. Corry, Leo. “algebra”. Encyclopedia Britannica, 30 May. 2021, https://www.britannica.com/science/algebra. Accessed 20 October 2021.