Raj Sharma
11,361 pts
Scholar

I would like to share learning-related tips and tricks for lifelong learners

Maths becomes very useful when it helps us in prediction and when we talk about number patterns all of it depends completely on prediction. If you want to improve in problem-solving skills, then you need to be able to recognize and understand number patterns well. If you observe some of the examples systematically, a pattern can be used to generalize what you have observed, and you will come to a solution to the question. When students work with number patterns, it directly leads to the concept of functions of the subject that shows relationships between various quantities.

The learning of number patterns in mathematics helps students to understand the basic and tabular patterns. The detailed study of number patterns and sequences helps to find the connections that are continuous and conclude to a generalization with the right prediction.

Importance of understanding math patterns

It would have been so amazing if one could predict the future. A lot of people have a belief the future prediction is impossible but making any kind of predictions without logic is always inaccurate. Although when one observes the relationship in a series of patterns for long period of time, it can lead to accurate predictions for a particular result. This is a very common method, and here we have the reasons why understanding math pattern is so important:

    Understanding of math number patterns allows the identification of similar patterns just as they appear.

        Patterns in math provide the student with a sense of order that otherwise might feel a bit haphazard.

            Educated guesses improve while someone is learning about patterns. Just like science is particularly based on the hypothesis, it is interesting to know that most of the time it is based on the study of understanding patterns.

                A number of common assumptions are made on recurring patterns.

                The mental skill of a student improves with the understanding of math patterns. This is because for recognition of patterns certain level of critical thinking and logic is required and we all are aware of the importance of the development of such skills.

                    Patterns provide a clear understanding of mathematical relationships like multiplication and algebra. This happens like a major part of solving algebraic equations includes data analysis that is directly related to the understanding of patterns.

                        One of the lesser-known facts is that patterns actually help with music. There are so many patterns of notes that come together to create music.

                          It is very clear the learning of patterns clearly has importance, and its understanding opens so many ways where this knowledge can be applied well. You have to practice for long-term, but various studies show that patterns are relatively faster to learn.


                          Benefits of solving patterns:

                          When we try to solve the different kinds of pattern problems, it offers a plethora of health benefits. A number of benefits have been observed in various studies about solving pattern exercises. It helps in the improvement of a student’s vocabulary and increases the logical thinking.

                          When we solve different kinds of pattern-based games and quizzes on a regular basis, it has its own benefits. It not only increases our knowledge and vocabulary but also improves logical skills tremendously. Here we have for you some of the major benefits of solving patterns:

                          It keeps mentally active:

                          The patterns are an absolutely great way of keeping the mind healthy and active. It shows the mind to get engaged in situations that need a good amount of patience, concentration, and thought to put in. It is also said that if you keep your mind in an active state, you will feel active the entire time. It also helps in the reduction of stress levels and helps reduce fatigue.

                          Encourages education inspiration:

                          One of the main benefits of solving patterns is that enhances skills like critical thinking, research, cognitive abilities, and concentration power of a student. While working with patterns like Sudoku that are also fun, one needs to apply logical reasoning in it. So it is very clear that it helps in inspiring education.

                          Meditation:

                          A lot of people don't know that there is a deep connection between meditation techniques and patterns. Patterns invigorate the brain and allow it to stay active, but it also allows the mind to relax the brain to come to a solution. The mind goes in a kind of trance very similar to meditation. This increases productivity and reduces stress levels that eventually helps in improving self-confidence.

                          Improves IQ:

                          The full form of I.Q. is intelligence quotient. One of the most important benefits of solving pattern problems is an improvement of the IQ levels in an individual. Patterns certainly help in the improvement of cognitive skills, memory, problem-solving skills, and general knowledge.

                          Productivity increase:

                          When patterns are figured out, it helps in increasing the productivity levels. Solving pattern questions helps in the improvement of vital skills that increase productivity.

                          Cognitive abilities improve:

                          Visual performance is improved effectively by solving pattern problems. Students are able to improve their cognitive abilities greatly by the recognition of basic patterns, shapes, and colors. Also, advanced levels of reasoning are achieved with patterns.

                          Increasing concentration levels:

                          Having good concentration is crucial to a student's life and is also needed for everyday life. Patterns require analytical thinking and therefore a huge amount of attention with patience. Only if a student concentrates will he be able to solve a pattern. And the long-term benefit is that it impacts concentration greatly.

                          Sequences: the method of common differences

                          The difference between the two arithmetic sequence is called the common difference. For understanding the details of the topic, a few basic terms must be cleared out.

                          • A group of numbers that are in a particular order or a random set is known as a sequence.
                          • A group of numbers that are in a specific pattern or order is known as an arithmetic sequence.
                          • To determine the next number in a sequence, a certain number has to be added to each number. This number is the same number for every term and is called the common difference.
                          • Finding a number sequence formula is one of the easiest ways to solve such patterns. It is :

                          d = a(n) - a(n - 1)

                          Here a(n) is the last term in the given sequence and a(n-1) is the previous term of the sequence.

                          So basically the amount between each of the numbers in an arithmetic sequence is a common difference. It has been named so because it is the common or same number to each of the numbers in the pattern given. For finding out the common difference, one can just subtract each number from the number after it in a pattern provided.

                          Let’s take an example in a series of number 1,4,7 and 10 what is the common difference. The last number in the sequence given is 10 and the one before it is 7. So,

                          10-7=3

                          Now by continuing this same method, we are going to further subtract from the previous number:

                          7-4=3

                          Again,

                          4-1=3

                          Here from the above example, it is clear that the common difference is 3.

                          How to look for patterns in numbers

                          Once you know how to find the pattern, you can find any number in the sequence. There are going to be times when you are going to just look at a number pattern and easily recognize what is happening and will be able to find out which number shall come next. Then there are also going to be situations where the pattern will be more complicated and difficult to determine the pattern.

                          When you come across such questions, it is going to be better if one can try to find out mathematically about the pattern. Once you do find out the pattern, you will quickly find out the number in the sequence. Here we have for your math patterns solver to easily find out and solve a pattern in number.

                            You have first to determine if the mathematical distance between the two numbers is similar when subtracting each number from the number that follows it. So just start by subtracting the first term from the number that comes after. So the first term gets subtracted from the second and then the second term has to be subtracted from the third. If this difference comes out to be the same a pattern is said to be formed.

                                In case you are not able to come to a solution, then try to find a pattern in the numbers in the way they are written. By this, we mean that instead of trying to search for a mathematical solution, try to find a code in it. Let's understand by an example:

                                  If the sequence is given is 1, 123, 1231. Here we can easily find out that the next number is going to be 12312. We came to the solution by just looking at the way these numbers are written and the manner it is mathematically manipulated.

                                  This is one of the simplest ways to look for patterns in numbers.

                                  How to solve a math pattern

                                  A few of the pattern questions can be very easily solved while others can be a bit more difficult. Patterns are one of the math problems that a lot of people find really fun to solve. Usually, these patterns require a little bit of logic, observation skills, and the use of basic maths to come to a solution. Some of the easiest patterns can be solved just by mind calculation. A proper pen and paper are needed for solving difficult patterns.

                                  Here we have for you step by step guide to solve a math pattern:

                                  From the starting till the end look at the entire math pattern.

                                  • Then try to ask yourself simple questions like if the number is going forward in an increasing or decreasing order?
                                  • In case you find the series increasing try to figure out if they seem to be multiplied by a number or just addition.
                                  • In a situation, these numbers seem to decrease, try to look if they are decreasing by subtraction or division by a number.

                                  These are the simple steps that will guide you through solving a math pattern. But still, if you are finding any kind of difficulty, just writing down anything that you notice is going to be very helpful. For example, if by just looking at the first two digits, you see a number added is 5, even though it might not follow in the series ahead just write it down.

                                  This is going to act like little clues and hints that will assist you to find a pattern.

                                  Other times you just need to take a little break away from the pattern, and after a while when you come back and look at the pattern the solution will be easily determined.

                                  Types of patterns in mathematics

                                  A lot of math patterns in nature can be seen in various kinds of patterns like different patterns in animals like lines and prints and structural patterns like in snowflakes. But then their others that are found in our books and are a base to a number of mathematical equations. Here are some of the types of patterns in mathematics:

                                  Arithmetic patterns:

                                  These are a group of numbers that follow a pattern that is based on a particular rule. It includes a sequence of numbers to which the same number is either added or subtracted. This number is known as the common difference.

                                  Geometric patterns:

                                  The geometric pattern is a number pattern to which a number is either multiplied or divided. The amount by which a number is being multiplied or divided remains the same and is known as a common ratio.

                                  Triangular numbers:

                                  When we observe a sequence the numbers are called like terms. When we talk about triangular numbers, we need to find out the number of dots that are required to create a triangle. Usually, the pattern starts by forming a triangle with three dots. One is on the top and the other two at the bottom.

                                  So this was a detailed guide on how to find math path patterns. Patterns are not only one of the most fun parts of solving mathematics, but as seen above have many health benefits as well. Every student should be encouraged to solve as many patterns as it is going to improve their focus and help in achieving better results in all of the subjects.

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                                  To level up your mental game

                                  Empower your mind to conquer any obstacle that comes your way! You have the strength within you to overcome any challenge.

                                  Here are 5 exciting opportunities to level up your mental game. Let's dive in and discover the potential within you!

                                  20 points of Rich mindset

                                  1. Rich mindset people know exactly why they are doing what they are doing!

                                  2. Rich mindset people do not do things that are not aligned to their Why.

                                  3. Rich mindset people know what they are passionate about!

                                  4. Rich mindset people work only on what they are passionate about!

                                  5. Rich mindset people's life is filled with excitement and more happiness!

                                  6. Rich mindset peoples are the master of their craft because they are passionate about it!

                                  7. Rich mindset people have big juicy goals.

                                  8. Rich mindset people write down goals every single day.

                                  9. Rich mindset people are most vocal about their goals.

                                  10. Rich mindset people will never reduce goals but increase the effort.

                                  11. Rich mindset people think that money is everywhere!

                                  12. Rich mindset people are plenty of opportunities provided they try to grow their knowledge and skills.

                                  13. You become rich twice, first in your mind and then in reality.

                                  14. Rich mindset, people are the creators.

                                  15. Rich mindset people know that It is effortless to make Money.

                                  16. Rich mindset people know money is available in abundance.

                                  17. Rich mindset people create multiple sources of income.

                                  18. Rich mindset peoples are very health-conscious people.

                                  19. People admire a Rich mindset, people's discipline, and good health.

                                  20. Rich mindset people spend lots of quality time with family.

                                  19 points of Broke mindset

                                  1. Broke mindset people think everything is too good to be true.

                                  2. Broke mindset people give up when things don't go their way; a few disappointments, and they are onto something else, saying things like "it wasn't for me."

                                  3. Broke mindset people always have an excuse.

                                  4. Broke mindset people think that not getting what they want is OK.

                                  5. Broke mindset always has to talk it over with their broke friends to make sure no one will make fun of them if they make a decision.

                                  6. Broke mindset people are never coachable and teachable.

                                  7. Broke mindset people are scared of others.

                                  8. Broke mindset: people always procrastinate; they would rather talk about it, read about it, think about it, but never do anything.

                                  9. Broke mindset people are glad when the day is over.

                                  10. Broke mindset people think rich people are lucky.

                                  11. Broke mindset people work by the hour.

                                  12. Broke mindset people want to know that after 1 hour of work, they have something to show.

                                  13. Broke mindset people get excited; they just got hired.

                                  14. Broke mindset people complain a lot.

                                  15. Broke mindset people are too concerned about what other people are doing.

                                  16. Broke mindset, people think that if no one is doing something, it must suck.

                                  17. Broke mindset people think that if everyone (all 200 people at a meeting or on a conference call) are all doing the same thing, it must be saturated.

                                  18. Broke mindset people think it is OK for other people to live where they want to live, drive what they want to operate and do what they want to do.

                                  19. Broke mindset people are OK with the fact that they can't do these things.

                                  14 Ethics of life

                                  1. Listen more before you speak. Try to understand what you are trying to say before then reply.

                                  2. Try before quitting. At least try things whatever you want in your life. Never quit before trying.

                                  3. Whenever you are going to write something anywhere, think before you write.

                                  4. Spend money, but first, earn. Earn before you spend.

                                  5. Believe first before doing anything in your life. Believes are valuable in every situation.

                                  6. Live your life; enjoy each moment in your life. Live before you die.

                                  7. Whenever you go to start anything, prepare first. Prepare before you start.

                                  8. Make time for health. Exercise and meditate before you get stressed.

                                  9. To be happy and for piece live in present moments. With the plan of the future, never invest in your present. Live it.

                                  10. Understand the rules of freedom before you expand your freedom.

                                  11. Love yourself and spread that love before time goes away.

                                  12. Accept and solve the situation before you miss out.

                                  13. Be responsible before time has gone. Be responsible when you need it. If time goes, it never comes again.

                                  14. Take permission from your family before taking any kind of action.

                                  How to write an essay fast and well

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                                  Write a compelling and catchy introduction. Mention an interesting fact related to your topic into the intro.

                                  How to write the middle part of the essay?

                                  The primary focus is on the 1st body, this paragraph need not be as catchy as the previous stages. So, here you can mention some weak points in order to elaborate on the essay further.

                                  The first paragraph - Write the strongest points or essential facts in the first paragraph

                                  The second paragraph - Tries to elaborate of an essay further and adds more intriguing points.

                                  The third paragraph - Cite some exciting examples with catchy tone related to the topic in the third paragraph

                                  How to end an essay

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                                  Who do not understand how to conclude an essay without sounding abrupt. Even though the conclusion is supposed to be short and sweet, it is an underrated part of an essay, and most of the students seem to be ignorant of how they should end an essay.

                                  You need to persuade the reader with your arguments and ideas put forward by you in the essay and make your readers care about your ideas.

                                  The majority of the students fail to understand is the fact that a proper link between the introduction and the conclusion of an essay can prove to be extremely fruitful.

                                  If you have stated an idea in the intro, you can add a line or two elaborating that point in the conclusion. Expand the theme that you introduced in the intro without making it seem like you are merely repeating a certain fact to fill up pages.

                                  Smart studying with online tools

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                                  THERE ARE SEVERAL ONLINE RESOURCES AND TOOLS TO HELP YOU ASSIMILATE A LARGE AMOUNT OF STUDY MATERIAL QUICKLY AND EFFECTIVELY.

                                  Right mindset

                                  Right Mindset.png

                                  To create the right mindest that will ensure your success. This entails accepting change and aiming to grow and improve constantily.

                                  10 steps to effective listening

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                                  Here are the ten steps that can help you to have effective listening:

                                  1.) Face the speaker and always maintain eye contact.

                                  2.) Pay attention, but be relaxed.

                                  3.) Have an open mind and listen to them without judging them.

                                  4.) Carefully listen to the words and try to understand what the speaker is saying.

                                  5.) Never interrupt the speaker, nor impose your thinking on them.

                                  6.) When the speaker takes a pause only then ask a question.

                                  7.) Never ask things unnecessarily, only ask to have a better understanding.

                                  8.) Try to feel what the speaker is feeling and communicating.

                                  9.) Try to give simple and regular feedback to the speaker.

                                  10.) Focus on non-verbal cues like facial expressions and gestures.

                                  Smart study

                                  Choose your subjects of interest, understand that not all the assignments and classes will be equally interesting.

                                  Smart study.png

                                  The power of memorization

                                  Use an effective memorization strategy like spaced-retention learning or use flashcards to retain more information.

                                  The power of memorization .png

                                  Practice previous year papers

                                  Attempting past papers is akin to taking an exam. Find a pattern in the previous papers which could help you predict what exam paper you will be getting.

                                  Practice previous year papers.png

                                  How to develop listening skills in students

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                                  Here are 7 tips that can develop listening skills in students:

                                  1.) Use audiobooks to applications, that can help in improving listening skills in students.

                                  2.) Teachers can read a topic loud, and then have the class discuss and reflect on the content.

                                  3.) Give children assignments group presentations.

                                  4.) Try to ask open-ended questions.

                                  5.) Assign students tasks and activities that encourage critical thinking.

                                  6.) Offer students reflecting learning opportunities.

                                  7.) Try to reinforce active listening in students.

                                  15 common mistakes students make when studying for an exam
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                                  1. Starting late and regretting it later.
                                  2. Not participating in the learning process actively.
                                  3. Not Studying according to the examination pattern.
                                  4. Revising the information already known repeatedly.
                                  5. Relying totally on the teachers or private tutors for Exams.
                                  6. Keeping rote memorization over the understanding.
                                  7. Not making a routine/proper plan of learning.
                                  8. Always studying too much, or studying much at the last moment.
                                  9. Sticking to only one place for studying.
                                  10. Studying one way only.
                                  11. Studying Alone always.
                                  12. Studying with gadgets.
                                  13. Studying with an empty stomach.
                                  14. Studying continuously.
                                  15. Not using the quick learning methods.
                                  Choose the learning style that works for you

                                  Different people learn in different ways. Visual learners; Aural learners; Verbal learners; Physical learners; Logical learners You can choose the method which you feel can help you learn faster. Also, check if you learn better when alone or when you are in a group study.

                                  Choose the learning style that works for you.png

                                  Practice learning as a fun activity

                                  Practice learning as a fun activity.png

                                  Sometimes studying while music plays in the background is a great idea. Drawing diagrams, figures or doodles while making notes would increase your interest to go back to them for revision.

                                  How can I improve my exam marks

                                  How can I improve my exam marks?.png

                                  Here are some of the many online resources that are the answer to the eternal question “How can I improve my exam marks?” You can seek more details from your teachers or your peers.

                                  Boost self-learning

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                                  Research work helps in knowing how to prepare for an exam or assignment. It will further help you to learn concepts on your own and develop self-learning skills. You can answer even the most difficult question out of your syllabus. This will further increase the self-confidence in the exams and assignments.

                                  exercise effects on concentration

                                  Exercise is as important as a healthy diet. Exercise improves blood circulation and focus. Kids love to play and to add up little fun workouts. Stretching would help them relax their muscles and concentrate better. There have been studies concluding that stretching helps in blood circulation and therefore helps in focusing. Few exercised would help in unclogging the mind and stay fresh.

                                  The fresh air would be good for their brain circulation. This improves brain functioning. Specific exercises can also help build concentration. You can do them with the child to set an example. Yoga is also one of the ways the kids can stretch themselves. The exercises in yoga can also help in concentration building.

                                  breaks importance of improve concentration

                                  Breaks are as important as sitting down and focussing. We usually make the mistake of allotting the time for each activity by the kids. For instance, the time of playing football would be fixed from 5 pm to 6 pm and after that homework and studies. We do not allot time for breaks between studies. Parents need to understand the fact that kids need planned breaks between the studies.

                                  For instance, if your kids have finished homework of the day, then it would be better to give him stretching or water break in between for 10 to 15 minutes. This would refresh his mind and help him concentrate better. Further, sitting for a long time is as injurious to health. It has the same effect as smoking. Sitting for long periods slows down metabolism. This causes weight gain. The slow metabolism also slows down the thinking power. This usually results in lethargy. You would definitely not want your kid to gain weight and become a house of different diseases related to weight.

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                                  My Group

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