History of Mathematics: Pythagoras Theorem

Math has existed and been used around us for a long time, even though individuals who employed inventing it were not aware that the systems they were creating to solve mundane problems would in the future be considered the foundation of mathematical concepts such as algebra, geometry, etc. These concepts came from efforts to make day-to-day life easier. For example; the modern day concept of combinatorics evolved from an effort to solve problems of enumeration in medicine and perfumery.

The man who invented the concept of permutations and combinatorics; Bhaskra , a Hindu mathematician, did not at that time know that he was creating what we now call combinatorics. This theme is similar for many inventors of mathematical concepts in history. The math we use today has evolved over time, not only in logic and understanding, but also in methods of interpretation and notation.

Today, we usually think of the Pythagoras’s theorem as a statement about numbers; a2 + b2 = c2, and understand that that if a right-angled triangle has short sides of lengths a and b, and long side (hypotenuse) c, then a2 + b2 = c2 . However, Pythagoras , the Greek philosopher who proved the theorem wrote about it in terms of squares, which was 200 years later written down by Euclid, another Greek mathematician, in his book using actual squares: if you draw the squares on the three sides, then you can cut up the squares on the two short sides and piece them together to make up the square on the hypotenuse. Historians have also found that this theorem was inspired by the works and proofs similar to the theorem that were found in the book Vijaganita, by Bhaskara, and traces of knowledge of the theorem have also been found in Babylonian tablets from circa 1900–1600 BCE. The Pythagoras theorem is something that has changed the dimensions completely. Although, the Greeks claim to be the inventory of this principle , the evidence shows that Mesopotamian and Babylonian mathematicians also contributed in Pythagoras theorem far earlier than the Greek mathematicians. It is fair to say that inspiration came to different mathematicians of different cultures via the flow and exchange of information that mathematicians had been working on in the past.

Another example of this the evolution of the notation that we use today, and how it shaped different mathematical concepts that we use today. The earliest notation known is the Babylonian sexagesimal system. It was positional, similar to modern notation, the place of the numeral in the sequence defines the value it represents, and they even had some symbol to denote a placeholder , the way we now use 0. The Egyptians had pictograms and the Greek, used their alphabet to denote numbers. Later the Greek had some acrophonic system , the first letter of the word for the numeral represents the numeral, and combined them in a way that is somewhat related to the Roman numerals we know. The Chinese then used a similar system with dots and bars, where they oriented their numerals up or down so that placeholders could be omitted to some extent. However, our familiar numerals, often called Arabic, originate from the Hindu and were indeed passed on to us by the Arabs ,mainly via al-Khwārizmī’s al-jabr (825 AD) which also coined the word algebra. Fibonacci introduced these numerals in Europe, which helped spreading the news.

The evolution of this notation came as an effort to work on the disadvantages of the one being previously used. For example, the creation and addition of 0 to the system came as an effort to revolutionize money lending and borrowing issues. The evolution also gave birth to systems such as the decimal system, which is crucial to modern day math. The Babylonian sexagesimal system, gave birth to this as it appears to have been superimposed on a decimal system. In the tablets in which these numbers are written the numbers 1 through 9 are represented by a corresponding number of wedge-shaped vertical strokes, and 10 is represented by a new symbol, a hook-shaped mark that resembles a boomerang. However, the next grouping is not ten groups of 10, but rather six groups of 10. The symbol for the next higher group is again a vertical stroke. Logically, this system is equivalent to a base-60 place-value system with a floating sexagesimal point, which can now be interpreted as the “decimal”. This base-60 system is the reason we conventionally believe that the circle can be divided into 360 degrees. Babylonian mathematicians divided all circles into 360 or 720 equal parts and divided the radius into 60 equal parts. In that way, a unit of length along the radius was approximately equal to a unit of length on the circle. Another thing to be noted is the reason behind why the Babylonians set out to find the degrees in a circle. The measurement of angles, arcs of circles, is essential to observation of the sun, moon, stars, and planets, since to the human eye they all appear to be attached to a large sphere rotating overhead. This astronomical endeavor was crucial to understand in order to predict the weather, season changes, and in turn harvest expectations and preparations.

Through this example we see how from the creation of the sexagesimal notation we gained the idea of a decimal system, and how the use of this notation in understanding astronomy has led to our understanding of geometry, arcs and circles. The idea here is that in order to solve daily issues, and make predictions of the future easier in order to make strategic decisions in the present, mathematicians of the past created ground breaking mathematical concepts and systems that we now use with different notations.

These concepts that were applied to day-to-day tasks, however inch at a bigger and more philosophical understanding of the history of math. Everything we know today came about as a question, and then a discovery. A student can learn a great deal simply by considering the unusual nature of the document and asking some questions, and mathematicians were just that. They were students of the past, looking at different concepts with the lens of how to apply it to the present and predict the future. This solidifies the idea that math is a past, present and future concept, in fact an inquisitive question around the systems we use in the world today could lead to the advancement of theorems that could possibly be proved, or made more concrete in the future. We see this a lot in algebra word problems, often encountered in high school math. Even though they are useless, they hold the same idea which is that complicated mathematical reasoning was not invented in order to find solve questions like when two trains will meet if they set out from different stations at different times, or how many candies Sally has if Bilal takes a few from her, but more to flesh out the subject and paint it in brighter and more realistic colors. This substantiates why we need to keep asking ourselves broad philosophical questions while we are studying the past.

Importance of Pythagoras’ Theorem in Gaining Knowledge

People learn in different ways all the time. From the simplest of things like riding a bike to the complexity of creating new mathematical equations uses a different way of knowing then constructing furniture. The strive for knowledge using different networks lead to significant discoveries. This essay will discuss how Mathematics, Arts and Human Sciences uses Reasons, Imaginations, Sense perception and/or language is used to gain new knowledge. However, many thinkers state that different methods of gaining have different levels of importance meaning some are critical when gaining knowledge. This asks to what extent does one way of gaining knowledge lead to new knowledge

Mathematics is a classic example of how people constantly use new ways to discover knowledge. For example, in 18th century France when Math was incredibly important during the age of enlightenment to make Europe an centre for education and studies. Maths was seen as a way to strengthen the reasons of someone, meaning that reason was seen as the only way to access and learn Maths. However, on contrary to what was previously thought using auditory and visual perceptions and one’s imagination are equally important when acquiring new mathematical knowledge. Newer mathematic discoveries have been based on an accepted truth. These accepted truths allow for there to be a starting point for reasoning and developing new mathematical theories. An example of this is the Pythagoras’ theorem. Developed by Pythagoras, it states that in any right triangle, the hypotenuse’s square is equal to the sum of the squares of the other two sides. As all of the other ancient proofs, the theorem had to be geometrical proven in nature. Pythagoras used the pyramids of Egypt after years of observations to prove his theorem. As he observed the pyramids it is safe to assume that sense perception is a massive factor to its discovery but a question that must be raised is why wasn’t this theorem discovered before or at least to this extent? Pythagoras was known to be a “Man of imagination”, meaning it was his imagination that got him to establish a mental image before he used sense perception and reasoning to prove the theorem. Therefore, while Perception and reasoning were important, Imagination was the most important role in discovering the theorem, if not the sole reason it was. Another example lies in the fields of art which is based on imagination, language, and emotion. These ways of knowing can work collaboratively each other and individually. Emotion is one of the key elements of Art or probably the most important one in art. Art is a language of expressing emotion and exploring imagination. Through art one can express their emotions by using ones subconscious by the language imposing and the imagination. An example can be when one looks upon an art piece in a museum and sees Red and Yellow patterns and feels that it represents fire, as an expression for the emotion of rage, but others may associate it with passion. This is how that art uses a series of different ways of knowing through person’s eyes, each way of knowledge influence by the other. They become stronger and more effective when linked together, such is most concepts in Art. However, Empiricism gives a different perspective on this topic. Empiricists view that it is only one possible way (sense perception) to gain knowledge. Empiricists argued that all the knowledge we acquire, including the Historical knowledge, comes from observation of what surround us. For instance, when Ancient Greek historian Herodotus began to record the rise of the Persian empire the events and causes of the Greco-Persian Wars between the Achaemenid Empire and the Greek City States in the 5th century BC. He did so by witnessing and recording the events of his travels over the years so he may be able to “prevent the traces of human events from being erased by time, and to preserve the fame of the important and remarkable achievements produced by both Greeks and non-Greeks; among the matters covered is, in particular, the cause of the hostilities between Greeks and non-Greeks”. When only one particular way of knowing is used in gaining such knowledge, as was the case with Herodotus and sense perception, Recording the events unfolding infant of him. On the other hand, for acquiring and understanding more complex historical concepts (such as the cryptic Phaistos disk or understanding the First world war) a network of ways of knowing is required. Throughout history our knowledge has changed and developed. Establishing New Concepts leading to new perspectives and eventually to new knowledge.

However, there is a question to what the role of each of the different ways of knowing were and to how far can networks of knowledge affect, distort and change existing knowledge to produce new knowledge. Human Sciences aim to discover more and more of humans and their nature, investigate it and to analyse the society around them. Human scientists establish patterns in human behaviour; make predictions about possible crises that societies may face in the future. Human Scientists base these patterns and predictions on their observations of humans, experiments, interpretation and analysis of past and current states and events. A network of ways knowledge could be used to produce new knowledge that can change or distort the already existing knowledge. One of the most famous examples of this in the topic of Human Sciences took place in 1798, with the Malthus Population Growth Theory by Reverend Thomas Robert Malthus FRS. Malthus stated that population growth had a strong correlation with the food production. He believed that the population grows at an exponential/geometric rate and that in some point in the future that growth is going to outpace the food production which is growing. Malthus mainly used reasoning and understanding the statistical information about the past in order to establish this pattern and justify his theory with the geographic and sociological communities. This means that he used the already existent statistical knowledge of food production and population, and he also observed the climate of the population situation at that time and used reason and imagination to develop and create new knowledge and language to present it. In the case of Malthus, He used a network of reason, sense perception, imagination and language to serve as a translator of the already existing knowledge, in this case the statistical information about the population and food production growth, through which new knowledge like Malthus’ projection is produced. Many think that to approach the truth of knowledge, one must approach it analytically. But this isn’t always the case when analysing certain things, events and situations that may give new knowledge or a way of interpretation. An example was last year in which some classmates and I conducted fieldwork investigation as a part of a geographic field trip to spain. We used different indexes, tools, measurements and made calculations in order to examine Barcelona’s Geography in a river, mountain site and city. Our research consisted of observing the city, public transport, River valley and mountainous areas, therefore using sense perception and calculating certain indexes based on statistic information we has by using reasoning to develop and calculate them. The investigation didn’t give us new information as all the information was already known and well established, just not to us. Geographic feature of all areas analysed were known to residents of Barcelona. So we didn’t conclude with new knowledge but a new way to interpret it.

In conclusion, to rely on only one way of knowing can lead to acquiring new knowledge. However, the knowledge gained in this way is may not always reliable as it is obtained using only one way of knowing and hasn’t been rechecked because in many situations has one way hasn’t covered all the possible aspects and therefore it’s subjective, scantily and limited. On the other hand, using a network of multiple ways of knowing can lead to knowledge that is certainly more reliable and applicable in the real life.

Philosophy of Teaching Mathematics Essay

Introduction

We are often asked the reason behind calling ourselves ‘Cuemath’. The reason is simple and is based on the literal meaning of the word ‘Cue’. Cueing is the act of giving support through a reminder, a hint, or a gentle nudge to the learner in the right direction. It merely means guiding or providing help. We believe in guiding the learner to the answer rather than giving the answer directly, hence, cueing the answer. We believe in student finding their way out of a problem. When students make the connection themselves, they never forget what they learn. They make a habit of making connections, thus laying a basis for critical thinking.

Critical Thinking

In simple words, Critical thinking is the ability to think rationally and clearly about a specific goal through the analysis of facts. Reflective and independent thinking is an essential part of it.

But wait, this sounds like an extraordinary thing that can only be possessed by geniuses, something that can only be done by very smart people. But this is far from the truth. Everyone can develop a critical thinking mindset if it is approached the right way.

Maths is a critical tool in such a quest. It is a beautiful subject which is always supported by facts and reasons. By teaching math the right way, we can inculcate a critical-thinking mindset in a learner. Asking questions, connecting the dots, and thinking about the why behind concepts can help a learner become a critical thinker. Therefore, it is fundamental to have a strong foundation in maths. At Cuemath, one of our most important goals is to enable critical thinking in the students.

Cuemath training

In the CueMath Leap program, we believe that teaching math should happen interestingly and engagingly. We give special attention to finding the right talent to join our team of teachers. We have highly trained teacher partners who engagingly conduct the classes using the Cuemath method, which is a unique method designed to that it ensure every student gets learning outcomes. Teachers are trained not to answer upfront. They encourage and guide the learner to self-discover the answer.

Teacher Partners also conducts demo sessions for prospective parents and students showcasing the Cuemath program. The training components for prospective teachers include online modules that cover the aspects of the Cuemath learning system, teaching philosophy, and the best practices for class conduction and gathering enrolments for the center. We have assessment tests at the end of each module to ensure that the teacher trainees have understood the modules properly. We make sure that our teacher partners are well-equipped to make learning math a fun activity using proper visualizations and reasoning behind concepts. The curriculum of the Cuemath Leap program is designed by experts having immense experience in the field.

Problem-Solving Skills

If we have to pick one skill that is going to come in handy throughout the life of children, it will be problem-solving. It is at the heart of mathematics and can quickly become a life skill and can be applied outside areas of maths. Whether you are at home or school, in sports or an examination, or at work, problems are a part of your life, and problem-solving skills are a lifesaver in many circumstances.

We love mathematics and the process of problem-solving, which is reflected in our teaching methodology. We want the student to struggle, try, and self-attempt a math problem. If they get stuck, we cue the answer, ask leading questions, and let the students discover the answer themselves.

Learning math by rote kills the curiosity of a young, inquisitive mind and makes the subject dull in their perspective. This leads to the children hating math. To make them love math, we should make it fun and exciting. Cue the concept, and make steps visual so they can remember the idea for a long. Passing the examination is a small goal, but the bigger goal is to equip the children with strong math skills that can be useful for them throughout their careers. The Cuemath Leap program is designed to develop problem-solving skills in learners.

Multiplication: Repeated Addition

Many times, it happens that students can’t make a connection even between very similar ideas. It is a direct disadvantage of rot learning where students care more about just getting the answer by applying a bunch of formulas rather than going through the thought process to get to answer itself. This results in a fragile mathematical base for the student and in many cases, the student ends up giving up on math as they can’t connect the dots.

For example, a young student may not know what 154 is, which is okay for them as they haven’t learned the multiplication table of 15 yet. But the thing is, they know the table of 4, so they just need to tweak the problem to 415, and now they will get the answer. Students need to learn the logic behind a problem first rather than jumping to think of the answer.

Let’s take the simple concept of multiplication. At Cuemath, we teach multiplication as repeated addition, which means, multiplication is nothing but repeatedly adding the same number at given times. It essentially reduces a new topic of multiplication to a concept they already know which is addition. Let us take an example; if we are asked what 42 is, we can just take this multiplication as a repeated addition of 4 two times, that is, 4+4 which is equal to 8.

This analogy and connection make sure that the student will now always connect multiplication to addition and not as another new topic in the syllabus. This allows the student to approach complex problems with logic and reasoning. We have implemented such techniques effectively in the Cuemath leap program. The teacher in a Cuemath class does similar exercises for each concept, cueing the answer and helping the process of self-discovery.

Cuemath Leap is a beyond-school excellence program. Developed by IIT and Cambridge graduates, it aims to change the way math is taught to students. The curriculum is designed to make math fun and interesting. We cover all the math concepts from all boards- CBSE, ICSE, State boards, and International boards.

First, one has to complete an online job application form. Shortlisted applicants need to register for training by paying the fee for an electronic writing pad. Then the applicant has to go through the training courses and pass the necessary assessment tests to get certified. No prior teaching experience is required.

Cuemath has programs for math and coding for students of grades 1-10. Students can request for a demo session to check out the Cuemath classroom and learning experience. Once enrolled, students have live interactive online classes personalized to their needs. Proper attention is given to each student as the batch size is small, and the doubts get cleared instantly.

Summary

Cuemath Leap is a program designed to help young minds develop a strong mathematical foundation and a problem-solving attitude. We emphasize Cueing the way, which makes learning fast and makes learning last. Math is a path to make the next generation of problem solvers, and we want to make sure that no child is left behind. With strong mathematical skills, we believe one has the power to bring innovative ideas to life and to make the world a better place.

Fibonacci Sequence in Real Life: Report on Personal Project

The Fibonacci sequence sounds like something very complicated. Still, in reality, it is merely a set of elements discovered by combining terms to get another. This sequence was developed by a medieval mathematician known as Leonardo da Pisa. Leonardo spent most of his early life traveling with his father until about 1200 .in fact according to the book Coincidences, chaos, and All That Math Jazz, the author says ‘Fibonacci gave himself the nickname Pigalle, which can either a much-traveled man or a good – for- nothing’ (109). Once he returned to Italy, he devoted his time and effort to a book about the mathematics he learned during his trips with his father. In 1202 Leonardo published his book called Liber Abaci (‘The Book of Calculations’). This book brought several new ideas into Europe like the Hindu -Arabic place value system and the use of Arabic numbers. This new notion is the reason why we don’t multiply in Roman numerals. The most captivating idea introduced in the Liber Abaci was the Fibonacci sequence. Leonardo described this sequence as a form of a ‘real–world ‘issue by providing an example of rabbit pairs produced in a year.

The Fibonacci sequence itself has a more in-depth explanation than just the rabbit family tree. Have you ever taken a walk around and observed a spiral on plants and bushes? There are many beautiful flowers like the daisy that have opposing spirals starting from the core. Pine cones also have spirals on them; in one way, there are eight spirals; in the other direction, there are 13. The object that interests me the most is the pineapple because you would never realize a spiral on the outside just by looking at it. In the book Coincidences, chaos, and All That Math Jazz, the author says, ‘Now when holding a pineapple and looking at its knobby surface, we will no longer see the bumps. The spiral lines, which were there but unnoticed, now seem obvious’ (102). It appears to have three different kinds of spirals, and its hexagon shape makes it appear to be three dimensions. This spiral keeps its way at all scales, meaning it can spiral out forever. This curve seems to spiral inwards and outward at the same time. It’s hard to draw but visualize it as either water spiraling down a drain or a rose that hasn’t bloomed yet. These spiral looks the same at every scale because they are self-similar.

These spirals found are also examples of the golden rectangle. The golden rectangle is a geometric interpretation of the Fibonacci sequence created by increasing larger squares of unit dimension. Yes, the Fibonacci sequence can be illustrated by adding squares up. The Fibonacci spiral can also be shown on these boxes, creating a shell-like shape. This shell-like shape resembles the tank on a snail, the horns of a ram, a nautilus shell, and even on a peacock. What makes these spirals so fascinating it’s the fixed proportion that determines their shape. What’s beautiful is that this proportion is the same as the portions developed by consecutive numbers in the Fibonacci sequence. The farther you go in the series, the dimensions of adjacent terms get closer to the fixed limiting value of 1.618, which is also known as the golden ratio.

My project was to provide photographic examples of this beautiful sequence around campus. I found a large selection of plants, flowers, and even snails on campus, correctly in my residence hall, to capture these beautiful images. I showed examples of the Fibonacci spiral with pine cones, roses, snails, and flowers. I also show examples of sequence in succulents, pine cones, and roses. My favorite model, the leaf placement, is shown with two examples of the branch of a flower. Nature is the most excellent example of the beauty in the Fibonacci sequence, golden rectangle, and golden ratio.

I believe the Fibonacci sequence ties into beauty because it’s incredible how God created all these things in nature that include this natural list of numbers. I also find beauty in how the Fibonacci sequence leads to the golden rectangle, golden rectangle, and golden ratio. This passage In the book, Coincidences, chaos, and All That Math Jazz, the author says, ‘Nature led us to a natural list of numbers, the Fibonacci numbers, and they, in turn, led us to the golden ratio’ (119). This passage makes me think so hard about how there has to be no coincidence that objects in nature are related to this mathematical sequence of numbers. It has to be the work of God, I believe it not only is the work of God, but it also shows what a mighty God we serve God. Once Professor Schulteis brought in the pine cones, leaf placement, shell, pineapple, and so much more, I fell in love with the Fibonacci spiral. It made me pay more attention to the beautiful nature and the crazy patterns you can find if you look at simple things deeply. I know you guys will love this class and start to appreciate God’s beautiful creations.

The Impact Of Mathematics In Our Lives

Mathematics is a means of thinking, a process of solving problems and explaining arguments, a foundation upon which modern society is built, a structure that nature is patterned by. It is said to be a systematic application of matter. Some people say it made a man more organized. Also, it makes our life practical and prevents disorder.

However most people have the history of struggling with mathematics tasks which make them think if they will ever apply the knowledge in real world life. Others find it uninteresting and not worth the effort to invest on as it just involves the working with numbers and calculators. And for some they believe that it is a tiresome, and extremely complicated subject. They just give up to the fear that they lack the ability to understand math and move on.

On the contrary there are people who find solving mathematical problems amusing, interesting and worthy. And they generally love to take on numbers and logic. Numerous famous scientists like Sir Isaac Newton and Albert Einstein have been great mathematicians of their times and made their discovery with the support of mathematics. Sir Isaac Newton devised calculus, mechanics, and so on along with his theory of gravitation. Another example is Einstein’s well-known formula, the E= mc2, describing the relation of energy and mass, which is the core of his theory of Relativity. Therefore, mathematics is fun, motivating and worthwhile as it has given birth to the greatest scientist who would not have been recognize if he didn’t find math sensible.

The capability of rationalizing, creativity, critical thinking, problem-solving skills and even effective communication skills are several characteristics that are developed by mathematics.

One of the most usual application of mathematics in everyday life is in financial management like spending, investing and saving. The modern world is money-driven and therefore, demands knowledge in mathematics to aid in various computations. Incapacity to add, subtract, multiply or divide will result in serious difficulties when handling money. Besides, one should be familiar with exponential growth calculations to plan for future projections especially in spending of money.

Mathematics concepts are very significant in the management of time. Time factor affects everyone around the world. Time is, therefore, a very valuable asset that cannot be ignored. The modern competitive world demands very proper planning of time to avoid lagging behind as others make progress. Failing to keep schedule results in accumulation of things not done in the required time frame.

In addition, mathematics is applied daily in stores. This sector requires an accurate use of mathematics knowledge such as estimation, multiplications, and percentages. The sellers apply mathematics in the calculation of price per unit, estimating the percentage of discounts offered, measuring the weight of products and estimating of the net price required to sell or buy a product.

Closely related is the use of math in kitchen. Recipes for different foods vary either in terms of ingredients used or simply by the number of ingredients. Preparing the recipes requires a step-by-step operation steps similar to procedures. Some of the mathematical applications include: measuring of ingredients, converting of temperatures necessary in the preparation of different foods, calculation of cooking duration for each item, and calculation of ratio and proportions.

Equally important is it creates and promotes analytical thinking where it breaks down a problem into smaller expressions or arguments using deduction or considering each piece of information separately to evaluate its consistency. The importance of breaking down the problem helps to solve the problem without missing any crucial factor.

Moreover, it will lead a person to great career options. Employers want to hire employees who are better at solving complex problems. A persons knowledge in math puts him/her at top positions when applying for a job. All companies should have someone with an understanding of math, like financial analysis or cost estimation. The opportunities are endless.

In the same way, it helps a person easily adapt to change. Technology transforms the way we live and work. An individual’s strong foundation in mathematics will help understand technologies better. It is possible seeing how things work. Technology is an increasingly demanding factor, so companies are keen for taking people who can use technology for making better analyses. The world is now reliant on technology and numbers. The present age is one of skill-development and innovations. The more mathematical we are in our approach, the more successful we will be. It is a tool in our hands to make our life simpler and easier.

We live in a time of extraordinary and accelerating change. New knowledge, tools, and ways of doing and communicating mathematics continue to emerge and evolve. To be able to use and understand mathematics in daily life and in the workplace has never been better and will continue to rise.

Therefore, basing on the above daily applications and others, it is evident that knowledge in mathematics is necessary and relevant to everyone regardless of the field or profession they belong to, its use is everywhere. That is why a good understanding of the subject is necessary to have.

Mathematics And Numeracy In Everyday Life

Mathematics and Numeracy can be found everywhere in the world around us as they are both an important aspect of our lives. Be it a shopkeeper, a doctor, a teacher, a lawyer, a student and even an insect in nature they all use the form of mathematics. Mathematics and numeracy are often thought to be the same but are two different concepts. While numeracy and mathematics draw upon the same body of skills, numeracy is not the same as mathematics; nor is it an alternative to mathematics. In this essay, the terms of Mathematics and Numeracy will be discussed as well as their similarities and differences. Furthermore, this essay will explore an interesting and fascinating mathematical phenomenon which is all around us in nature.

Mathematics is the study of patterns and relationships. Mathematics is described as the science of space, patterns, change, relationships, number, quantity, and arrangement, whose methods involve logical reasoning and usually use the symbolic notation. By nature, mathematics is about abstract ideas and logical thinking. Maths involves a lot of symbols, patterns, numbers, formulas, rules, calculations and equations. According to the Australian Curriculum, Mathematics is divided into three strands which are number and algebra, measurement and geometry, and statistics and probability. Mathematics is generally taught in the classroom.

Numeracy involves developing the skills and confidence in mathematical formulas and determining where to apply those skills in real life situations such as home, work and social settings. Numeracy is not only determined by our mathematical skills and understandings, but the way in which we apply and process the knowledge we have learnt. The Australian Curriculum identifies the importance of numeracy as a fundamental skill for students to learn at school, and for their life beyond school as family, community and workforce members. It involves students recognising and understanding the role of mathematics in the world and having the dispositions and capacities to use mathematical knowledge and skills purposefully. We need numeracy to solve problems, make sense of time, numbers, patterns and shapes for activities such as cooking, planning the trip of holiday, shopping, budgeting and paying everyday bills.

Both mathematics and numeracy overlap each other. While mathematics and numeracy are sometimes confused with holding the same definition, they both have varied differences and are utilised in different ways of learning. Even though there are some differences there is also some similarities, in order to solve problems, they both require us to use our knowledge of numbers and number systems. Despite the similarities of the two terms however, unlike numeracy, “mathematics does not need to consider the real world as it focuses of abstract constructs and ideas regardless of their potential applications; numeracy is the application of mathematics in authentic contexts.” (Siemon et al., 2015). Spatial sense, structure and pattern, number, measurement, data argumentation, connections and exploring the world mathematically are the powerful mathematical ideas children need to become numerate. (DET, 2019, p. 41). However, Mathematics is a concept which is learned in school without thinking of real world while numeracy is the real way, we use to effectively and efficiently solve problems.

There are some numeracy examples that are used in everyday life including grocery shopping, baking, reading transport timetables, comparing and finding best products whilst shopping. Going on a holiday is another example of using numeracy. When booking a getaway there are many things that are to be taken into consideration such as the using a map to get around to places, cost of your flight ticket, comparing time differences with different countries, the amount of days that will be spent at different location, the full cost of the trip and also financially budgeting the trip from start to end. Numeracy skills is also handing whilst budgeting the expenses that will be used at home either on a weekly, fortnightly or monthly basis. Grocery bills, mortgage or rent bills, daily expenses, savings, electricity and phone bills are all budgeted according to each individual family’s capacity. Plenty of numeracy skills such as money, decimal points, calendar, estimating and calculations are all taken into consideration.

Mathematics is not just about numbers and the logic of reasoning. It also helps us to understand the shapes of atoms and planets. There are also lots of mathematical phenomenon in the natural world. Mathematics reveals hidden patterns that help us understand the world around us. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. The Spirals come in different types such as flat spirals and three-dimensional spirals. Fibonacci Numbers is another famous Mathematical pattern which is quite common in nature. For example, the leaf arrangements of the plants are called symmetry in mathematics. Bright, bold and beloved by bees, sunflowers boast radial symmetry and a type of numerical symmetry known as the Fibonacci sequence, which is a sequence where each number is determined by adding together the two numbers that preceded it. For example: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and on to infinity. Scientists and flower enthusiasts who have taken the time to count the seed spirals in a sunflower have determined that the number of spirals adds up to a Fibonacci number. This is not uncommon; many plants produce leaves, petals and seeds in the Fibonacci sequence. This is the reason why it’s so hard to find four-leaf clovers.

Honeybees have evolved over time to skilfully build hexagonal honeycomb cells. The hexagonal cells serve as storage vessels for honey, as well as homes to raise young bees. When building a honeycomb, bees must make sure they don’t waste more resources (wax) or expend more energy (honey) than necessary. This means that they need to use the least amount of wax possible to construct a comb that can store as much honey as possible. Lastly, a look at nature’s snowflake illustrates hexagonal symmetry and fractal geometry. The snowflake possesses the shape of the hexagon. In addition, the growth of a snowflake is simulated by the Koch snowflake curve.

In conclusion, Numeracy and Mathematics are equally important and go hand in hand when it comes to our day to day lives. Although they have similarities, if we take a closer look, we can also find that they have some differences. Mathematics being the body of knowledge we learn, and the numeracy being the ability and confidence to understand the context in which we apply it. Mathematics also surrounds us and can be used to explain natural phenomena’s such as the Fibonacci sequence which can be discovered in the flower head of a sunflower.

Math is All Around Us

For the better part of my life, I have found great interest in nature and the unique occurrences within our environment such as the beautiful tiger stripes,flower petals which are delicately set, among others.Recently however,it dawned on me that It is onIy when we take time to analyze all components of our environment that we will vividly understand the extent to which Math is connected to important aspect in our lives as it plays a huge role in making up almost everything in our environs. Such may be explained by various concepts in the subject.

When it comes to different mathematical concepts, it is without any doubt that there are daily advancements with numerous new discoveries and application to these concepts. Recently, air was cleared concerning an issue that had been termed a mathematical curiosity, know as the black hole. Scientists were able to make a remarkable achievement by being able to take a picture or create an illusion of the black hole, with the help of mathematical tools.

A recent report from the‘University of Bath’ and‘Yale university‘ dated 5th September 2019 states that we can be able to see or perceive the beauty present in complex mathematical arguments just in the very same way that we can see and appreciate the beauty of a beautiful image such as a landscape painting or a piano sonata. Though not related to the topic of discussion, this research may have implications for the teaching of mathematics in different school levels and even encourage lower level students who do not view mathematics as beautiful or do not see any beauty in math. Hence encouraging more people to join mathematical fields in the future.

Math is all around us, in everything we do, it is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports ( J. Hom, 2013).

In his book‘ Mathematics in Nature’, Adam vividly explains numerous phenomena which can not be explained or accounted for in any other way other than application of mathematics. He makes mention of examples and qualitative discussions of patterns in nature, examples of the power of arithmetic in solving fermi problems,meteorological optics, linear waves, the Fibonacci sequence and the golden ratio among other important mathematical concepts. However, in one part of his text, he makes mention of a question posed by Peter S Stephens in his book,‘Patterns in Nature‘ where he asks why nature appears to make use of just but a few fundamental forms but applies them in different contexts. He questions the similarity in appearance of the branching of trees, the arteries and the branching of rivers. Moreover, he wonders why crystal grains look like soap bubbles and the plates of a tortoise shell.

According to his analysis, Stephens came up with a conclusion that nature is made up of one hundred and thirty seven point five degree angles, branchings, hexagons, spirals and meanders.

Of the various phenomena that I was able to read on from this book, such as the ones mentioned above,the scattering of light and the application of mathematical principles in plants and animals seemed to be of the most interest to me. Light, because it is a very important aspect in our lives. Life without the blue sky above us, the beautiful sunrise and sunset views which we so much love to enjoy their sights,the rainbow ; which many people may believe serves as an obvious symbol of calmness and security and the different range of colors we can see seems rather uninteresting compared to how it is in the present, obviously with the mentioned things. Therefore,understanding how these things come about is rather interesting as they are occurrences or phenomena which we come across in our every day lives.

Plants and the characteristics that they show in the arrangement of their leaves also largely illustrate the concept of the “golden number “ (1.618). There are various phenomena which exhibit different types of spirals. Such are the rolling up of a chameleons tail, the spiral arrangement of daisy seeds in its head,the curling up of a feen that is in the process of drying up, among other occurrences.

When it comes to animals and insects,patterns on their coats in animals such as tigers and cheetahs just to mention but a few and wing markings, for example in moths and butterflies can easily be studied with the use of mathematics by applying “reaction-diffusion equations”

Math In Our Daily Life

Introduction

Even those suffering from math-related anxieties or phobias cannot escape its everyday presence in their lives. From home to school to work and places in between, math is everywhere. Whether using measurements in a recipe or deciding if half a tank of gas will make the destination, we all use math. It is a good idea, therefore, for teachers and parents of reluctant math learners to use real-world examples to ignite a spark of practical interest. Math is everywhere. Whether you aspire to study sociology, psychology, physics, biology or even economics, Math is held in high regard, and you will be called on solve various math problems, as part of your work. Many school classes involve counting, estimating, measuring, weighing, drafting, working out formulas, using statistics and analyzing data, all of which have their roots firmly in the field of Mathematics. if you don’t believe us, just take a look at how Math crosses over into other subjects below, and we don’t just mean Science and Technology!

Science and Technology

You are probably already aware that science and math are closely connected, particularly the topics of chemistry, astronomy and physics. This is why students who can’t master basic arithmetic skills will have a hard time reading scientific charts and graphs and risk not being accepted on a scientific course in their higher education. Geometry, algebra, and calculus can help students solve chemistry problems but practical sciences, such as engineering and computer science, also benefit from math. For example, pupils may have to use complex equations and algorithms when designing and writing computer programs. On the opposite spectrum, nurses deal with science and math as they carry out their everyday duties, needing to know how to precisely calculate dosages and to identify abnormal results in patients’ tests.

Literature and Writing

Literature, one of the subjects you might think of as the furthest away from math and science, is actually full of mathematical theories. Poetry is a great example, with its meter and particular rhythms. All of these are based on math calculations . But that’s not where it begins and ends, Math can help students to plan reading assignments by enabling them to work out roughly how many pages they can read in a half hour and thus estimating how long it will take them to read a particular work. The same goes for their planning of any written assignments. This is because Math teaches us to think logically and solve problems. This ability to reason can also have an effect on the way that literature pupils tackle their answers clearly

Humanities

Classes like history and other social sciences sometimes require students to review charts and graphs containing historical data or information on ethnic groups. They also ask them to look at events in the context of when they took place, which naturally causes pupils to think back from now and work out how many years ago these would have taken place and just how much has changed in society over that number of decades. In geography classes, students might need to consider how the force of the sea can erode our coasts and at what rate, whilst also understanding how the elevation of an area can affect its population or the average lifespan of individuals living in them. Knowledge of basic mathematical terms and formulae makes statistical information more accessible and therefore easier to apply in order to back up findings and theories.

Math and Shopping

Math surrounds you the minute you step through the doors of your favorite supermarket! Indeed, the automatic doors and security scanner you pass through are composed of electronic systems that could never have been designed without math. Then, when you start shopping, you fill your trolley with products labelled with barcodes, which reference the manufacturer and the specific identity of each product. The products, thanks to the barcode, are scanned at the checkout with a laser. All you have to do is pay for your purchases by check, credit card or cash: All of which, again, are possible thanks to mathematics.

All these steps and operations use mathematical concepts, like those taught in the classroom , another example would be if, while shopping, you realize that the store has a 30% off promotional discount, and that this reduction increases if you purchase 2 items. You understand, however, that a 10% off the first product and 20% off the second do not make a total discount of 30%!

The value of knowing some basic mental calculation can be very useful when out shopping. Whether calculating prices in Excel, working out sales percentages, commissions, a discount or converting currencies, math is a central part of the daily life of all who are involved in sales. However, you won’t have your math teacher alongside you, so be sure to practice properly.

Cooking

The use of math in cooking is almost inevitable, and it is often the famous rule of 3 that is applied, when you have to convert the proportions of a recipe for 6 people to a different number. It’s important to calculate and adjust the quantities for the recipe to turn out well. Similarly, you should know the basic rules for converting weights (gram to pounds and vice versa), temperature (between Celsius and Fahrenheit, depending on where you get your recipes from) or simply to add or divide ingredients. For example: ‘Mix 2/3 of 500 g flour, add 2 eggs, and milk, then add the remaining 1/3.’

Buying a House or an Apartment

Buying property is among the most significant and practical examples of using math in your everyday life. Given the importance of such a purchase, it’s better to pay attention to all the details, to be sure of a favorable transaction. In fact, when you borrow money, you are offered a repayment plan that accounts for interest rates, sometimes fixed, sometimes variable, but different depending on the length of your loan: The rate differs whether you borrow for 2, 10, 25 or 30 years. To know how much you’re going to pay overall, what you need to save and what you have to repay, interest rate calculations prove to very important. If you’re going to build a house, then besides the loan you’re going to take out, you’ll need to draw up plans. For this, you should know how to use a ladder, measure angles and provide for furniture to scale, to finalise your plans. Here as well, the use of math, and more precisely of geometry, is paramount.

Travel

Nowadays, GPS receivers are found in so many cars and smartphones. There, too, math is at work! Before all this technology came along, we had the compass, protractor, sextant and the astrolabe: It’s with triangulation that we can determine our distance from a fixed point, and direction of movement. Triangulation (today greatly improved with satellites) with its calculations of angles and distances has always been a mainstay of cartography and navigation. Just ask someone sailing around the world, how they would manage if they were not able to identify their location on a map!

Math and Gambling

Although chance does play a role in card games, mathematics gives the best poker and bridge players an advantage over average players, who don’t use probability or calculate odds to give themselves an advantage. In poker, if you can grasp a few statistical notions and keep in mind some other factors, like the hand you hold or the pot size, you will be able to play more consistently. Moreover, for any great card player, the expectation of gain is not calculated in the short term, but in the long term. While it may not be possible to win systematically, it’s important to be systematic in the long term.

As such, good poker players are all familiar with the law of large numbers, even if only implicitly. The law of large numbers tells us that the more frequently you toss a coin, for example, the more the observed result will approach the theoretical mean, in this case 50% heads and 50% tails. This helps to explain the legendary calm shown by some players when losing large sums: Because they know that in the long run, they will.

Telling the Time

Once you’ve learned how to tell the time as a child, you rarely give it a second thought and can look at a clock and instantly know what the time is. However, when you break it down, the concept of time isn’t all that straightforward. There are a lot of things you need to understand, all at once, in order to know how to tell time. For example, you need to be aware that there are 24 hours in a day, that each day is then split into two 12-hour halves, that each hour lasts 60 minutes, and that each minute is 60 seconds-long… plus 60 isn’t the easiest number to work with! Don’t you just hate it when you read that a film is 93 mins long and you have to try to work out in your head what this equates to in hours and minutes?! Fractions also come into play, when we say it’s “a quarter-to six,” we’re actually telling them that a quarter of an hour remains until it becomes six o’clock.

Digital clocks can involve math too, though. When you read a digital display that says 11.35, you don’t simply take it as ‘eleven thirty-five’ do you? When asked, you would probably say to someone that it is ‘twenty-five to twelve’, meaning that you are subconsciously picturing a clock with its longest hand just west of the bottom. You are automatically working out in your head that an hour is divided up into sections of five minutes, quarters and halves and are applying this theory all at once.

Furthermore, if you read 16:20 on your digital clock display, don’t you instantly read this as ‘4:22’? If so, then you have just gone through yet another mathematical process, taking into consideration that there are 12 hours in each half of the 24 hour day. Math in Learning Patience To put it bluntly, it would be quite difficult to be effective in mathematics without a minimum level of patience!

Through practice, you will realize that this discipline is a true therapy for patience. At times you will need five or six steps of reasoning to answer a single question or solve a puzzle formulated of only a few words. Over time, you will learn how to formulate your reasoning, make your own shortcuts and, above all, stay focused from beginning to end, on an exercise, problem or puzzle.

Other Places where you find Math in Action:

  • In psychology and sociology: Data are analyzed and compared using mathematical or statistical methods
  • In fitness classes, such as aqua gym: You need to keep count to stay in synch with the sequence of movements.
  • In biology: Math has numerous applications, for example in finding the number of molecules produced in a chemical reaction
  • At the theatre: Math helps you to locate your seat, to predict the duration of a spectacle, or to calculate light intensity.
  • Chess: To anticipate your opponent’s moves and calculate the displacement of your own on the board

Math and its Effects On Health

There are various things that keeping your mind active with cognitive training can do for you, such as:

  • Increase your ability to memorize
  • Improve your brain processing speed
  • Prevent boredom
  • Enhance concentration

Also, have you ever considered the fact that everything changes your brain so it’s continuously evolving and growing?

Each new person you meet, each new story you read, each new flower you smell… there are so many ‘firsts’ that continue to take place throughout our lives that we probably don’t even give a second thought to. However, when you sit back and think about it, your brain is constantly developing and being influenced by surroundings.

Summary & opinion

As you can see, mathematics has many real, practical applications in our everyday lives: Whether in relation to cooking, shopping or buying a house. Whether you or not you aspire to become a mathematician, this discipline is a science in its own right, and one that has a great importance for everyone. Without math, a great many technological innovations and inventions would never have been born. Math is also an essential part of your professional life, even if yours is a non-scientific job! An administrator needs to know how to use Excel, a salesperson; to do mental calculations, and an architect; to calculate angles. Finally, math can teach you to be more patient and rigorous. Give it a try, you might be pleasantly surprised! Perhaps even without knowing it, you are already using mathematics on a daily basis! It just might be time to rethink your relationship with the topic!

References

  1. https://slicernewsroom.com/3544/academics/the-importance-of-math-in-our-lives/
  2. https://www.niu.edu/mathmatters/everyday-life/index.shtml
  3. https://sciencing.com/the-use-of-mathematics-in-everyday-life-9893609.html
  4. https://www.mathnasium.com/glendale-math-everyday
  5. https://www.mathnasium.com/glendale-math-everyday
  6. https://slicernewsroom.com/3544/academics/the-importance-of-math-in-our-lives/
  7. https://www.niu.edu/mathmatters/everyday-life/index.shtml
  8. https://sciencing.com/the-use-of-mathematics-in-everyday-life-9893609.html
  9. https://www.mathnasium.com/glendale-math-everyday
  10. https://www.mathnasium.com/glendale-math-everyday

Life Is Like A Math Problem

Mathematics has become an inseparable part of our lives, makes our lives orderly and prevent confusion. We can not do a single moment without math, it has made our everyday life goes easy and comforatable. Math includes numbers, letters, and equations, but it is also so much more than that, it is certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills. It can never leave one with an answer that is not absolute, not definite. No matter how small the subject in question might be, the calculation will always yield a definite number. No matter to which field or profession you belong to, its use is everywhere. That is why it is necessary to have a good understand of the subject. Though the basics of mathematics start from school but its usage continues till we become adults and thus it can be said that math has become an integral part. When every we go or anything that we do math is universally.

In Senior High School is a beginning that provides secondary education that introduce them to their preferred career path for their future. Their are strands to choose for senior highschool; Accountancy Business Management (ABM), Science Technology Engineering and Mathematics (STEM), Humanities and Social Science (HUMSS), General Academic Strands (GAS) and Tehc – Voc. Choosing a strand that somehow be related to your intersts and planned college course. A track which focuses on the core subjects of your college course. It gives a good future or jobs after you graduate under your prefered strand.

As of now I am a senior high school student studying the couse on my choosen career path – Accountancy Business Management. As a senior high school student i tis such a big step to fulfill our dreams in the future. Why did i choice this strand? This strand is containing the fields of about Business (accounting, human resouce, marketing, advertising, entrepreneurship etc.) I have decided to choose this strand not because that my parients force me to choose this strand. Because in the future I want to run our business family and to be a successful busniss woman, I will continue the business that when my family started it.

I also want to become an accontant in the future. Even though Im not good at math still want to experince to be an accountant. Does it mean that if you are not good at mathematics in Accountancy Business Management (ABM) , that means you can’t be apart or be able to study Accountancy Business Management. It dosen’t required that needs to be smart at math to be able to study your dream course for the future career path. It is within with your knowledge and skills and a hard working student. Based on my experiencing a hard times ive been struggling since a child until now for using math in school and everywhere in everyday life. But i never give up, i keep on trying solve all the problems in math and also my life to. Anyone can be a mathematician if one is given a proper guidance and proper training in the formative period of one’s life. Every strand has mathematical subject, a good curriculum of is a helpful in effective theaching and learning of the subject, Math is a way of thinking, a method of solving problems and explaining arguments, a foundation upon which modern society is built, a structure that nature is patterned by…and math is everywhere. Make sure that focusing study it makes life goes easier, Accountancy Business Management is easy if you wull focus and make it as your priority, then if not Accountancy Business Management will be surely hard for you.

Life is like a math problem. Some people give up to easy, doesn’t give a little much effort for their goal. Running for their success leads them to their happy life ,trying to out-do their last success, who may not be succeed at their first challenge so they try again. A problem that is hard to be solve keeping to find their answers to their problems so they stop to trying it, some people who dosen’t give up but still finding their answers but not pushing themselves harder. For those who don’t succeed at first, they just remind themselves that every day is a blank page ready to be written. Another chance at success. The sun will keep rising, and there will always be light. If you make a mistake, keep trying to correct it, again and again. Once it gave up the chances that are facing on you, there is no way to letting it go. We all want to have the right answer at the end but for that we need to know what to add, where to subtract, how to multiply and when to divide. A small mistake can lead not only to an unexpected answer but also will not give you a chance to undo the wrong step. So we need to be careful while solving our mathematics called life. Don’t let yourself to rush something that you want to do, it may harm for yourself . If it fails just let it try again, it is a moral lesson that if your lose there are more chances of expectations that may lead into a successful life.

In a world that is full of harm experience , math is a human race, imagining a world that math doesn’t exist the importance of mathematics in our daily life, since numbers are the basic building blocks and foundation of mathematics. Math is important, Math is influential, Math is surprising, Without math, we never take any decision. Our everyday life depends much on mathematics. We cannot go even an inch without math. It paralyzed ourselves in a world that exist mathematical form. Therefore it can be said that methematics is a part of parcel in our life.

Essay on Mathematics in Everyday Life

Introduction

Society refers to a group of people living together in the same zone involved in a determined social interaction (Skemp, 1971). Societies can be classified into some form of relations among oneself who can divide themselves into portions of characteristic culture and institutions. The way society behaves is very amazing to the fact that it is very organized and they make choices together to approach a particular task. As a society they consider soft skills like teamwork and leadership therefore, as a result, they have a strong union among themselves which makes them live together in peace.

While mathematics knowledge refers to having the capabilities and skills to understand how your students learn. For example, after your students have written a mathematics test then you make a follow-up to identify what students thinking to lead them to incorrect answers. It also includes identifying the mathematical understanding a student does not have and then you finally choose how best you can represent a mathematical idea so that they can easily get it. Mathematics Knowledge is categorized into two types which include facts with concepts and acting techniques. Mathematics plays a vital role in society because when you make judgments you would realize that everything in life has that aspect of mathematics like counting the money it has attributes of mathematics like adding and subtracting.

The Relationship between Mathematics Knowledge and the Society

The edge of knowledge and rehearsal known as mathematics has been derived from the contribution of scientists throughout the ages and around the world. Mathematics provides us with ideas to recognize patterns, measure relations, and foresee the future. Mathematics gives us an opportunity to comprehend the globe and we also routine the globe to recognize mathematics. If the infusion of mathematics is very accurate then this will be beneficial to society and they would be able to spot global connections and create a mathematical model that redirects the difficulty of global situations and events. Therefore, as a result, they will be able to relate mathematics strategies to solve real-life situations and then finally make conclusions, and use the mathematics knowledge and skills to make a real-life impact.

Development

According to Hollands (1990), mathematics is not only considered in the classroom discipline. Scientists and engineers are not the only ones who benefit from mathematics but also every individual needs mathematics in their daily lives. A common man can get well with counting and calculating without even having the opportunity to enter the classroom to learn mathematics. For example, an old man counting cattle at the cattle post not even knowing that what they are doing is mathematics.

Personal Finances

The financial transaction needs some kind of mathematics the reason being that we need to know how much money we have in the account before we can do the transactions and how much we withdraw therefore as a result, we need to calculate all this process together with the available balances. We also use basic addition and subtraction when we buy groceries. It is also beneficial to have knowledge of complex equations involving fractions and percentages because it will help us to create monthly budgets. Investments, mortgages, car loans, and credit cards all require some understanding of compound interest. This awareness can help an individual to create the best asset selections based on his or her assessed rate of return, and it can help in making the best loan choices based on our expected financial commitment. With the knowledge and skills that we have attained in algebra, we are now able to deal with money. Now society is able to calculate simple interest and compound interest. It is useful to society because they can use the knowledge that they have on simple and compound interest to help members of society to pick the best bank account and to decide which credit card is best to have. People who take out loans understand interest as such, it helps them to figure out the best ways how to save and invest money. In addition, when an individual prepares a budget needs to ask herself or himself a couple of questions before deriving a conclusion. Those questions can be: how much should I spend today? When I will be able to buy a new car? Should I save more? The answer to these questions is mathematics. We prepare budgets based on simple calculations with the help of simple mathematical concepts.

Home and Hobbies

Mathematics is the core of everything in our daily lives (in our homes and hobbies). People use mathematics knowledge when cooking. Cooking requires us to understand some academic goals like fractions and volumes, including how to change them, such as how many cups of rice are required to serve five people. People make use of proportions and ratios to make correct calculations for each ingredient. If we plan to do any home repairs without the help of any qualified specialists, we have to know basic addition and subtraction, but we will also need to understand geometric concepts such as angles and areas for cutting wood and calculating materials needed. Understanding geometric concepts also help in finding how much paint they need to buy when repainting a room. When gardening, we want to know concepts such as area and volume to determine how much soil, fertilizer, grass seed, or other materials we need for a certain square footage of space.

Shopping

Societies make use of mathematics when buying different items. For example, when buying a new computer, an individual will require to figure out which store offers the best price or discount. Mathematics is useful in finding the best deal for food items. Some Stores often have promotions that give a certain percentage off an original price therefore as a result it attracts customers to visit their shop many times. It is helpful for people to know how to figure out their savings. This mathematical skill is very useful because it helps us to save money and offer the best deals to customers at the lowest prices.

Exercise and Sports

Mathematics is important to receiving a good workout and meeting health goals. We use mathematics to calculate our target heart rate during exercise and to count our beats per minute. When we are playing sports, we use mathematics to keep track of the score and to figure out what plays and points are needed to gain an advantage to win the game. We even use mathematics to tell the time or to calculate the amount of time left in a game, an inning, or a quarter.

Conclusion

Having knowledge of mathematics is a dominant and amazing tool in society. Mathematics is not only important for success, and it is all around us. The rules of mathematics are visible throughout the world including in nature, and the problem-solving skills obtained from employment mathematics homework can help us tackle problems in other areas of life. Many societies see mathematics to be a difficult aspect to deal with in life, but the truth is that a life empty of mathematics means that we go around undergoing the world on a much less exciting level than we can. Although mathematics is more important in our society it does not mean an individual should focus only on number crunching, some isolate themselves from others as not everyone in the society adhere to mathematics, sometimes feel disconnected from society, engaging more in mathematics and neglecting other aspects of life also leads to being a loss. There is a need for balance in all aspects of life. Some mathematicians suffer due to increased isolation from society and other reasons. At the fundamental of any discussion on mathematics, it is vital to reflect on how mathematics helps society to make sense of the world, and what in an individual’s knowledge enables them to use mathematics to make contributions to the community.

References

  1. R. Hollands (1990). Development of Mathematical Skills Blackwell Publishers, Oxford, London.
  2. R.R Skemp, (1971), the Psychology of Learning Mathematics, Harmondsworth: Penguin