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Showing posts with label Heuristics Maths. Show all posts
Showing posts with label Heuristics Maths. Show all posts

Saturday, 24 January 2015

Joining Math Enrichment Classes Singapore – Why?

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Mathematics is one of those subjects which have rapidly become one of the best and the most interesting as well. The subject is quite challenging and those who study it also get to acquire many high end benefits in both the short as well as the long run. Learning maths can be an arduous process but with the right kind of guidance, it can be rather easy. Math enrichment classes Singapore are the best way for individuals to enhance their mathematical skills and that too, in a very short period of time. Joining such classes enables people to gain knowledge that they never be able to acquire otherwise.

Acquiring Mathematical Knowledge
The math enrichment classes Singapore are responsible for helping people understand the fundamentals of maths. This is something that all people should consider as being an expert at maths is really not ever possible without knowing all the fundamentals of the subject first. Such classes have experienced staff and faculty which provide people with all the important information they need in the process of getting their fundamentals straight. It is exceptionally important for people to be aware of all the basics of maths in order to score well in examinations as well as tests in the near future.

Concepts of Maths 
On the other hand, the enrichment classes are also the best place for people who are interested in knowing all there is about mathematical concepts. While understanding them is most likely to be difficult at first, all that people need is some attention as well as focus in order to know these for good. These classes offer the utmost assistance as well as faculty which is very well are of everything there is about maths in general. Once an individual is aware of all mathematical concepts, they can understand maths and even learn to apply it within real life.

Perfect Affordability
One of the most prominent benefits of joining math enrichment classes Singaporeis the fact that such classes are provided at reasonable everyone these days. From students to teachers and anyone who has a desire for learning mathematics on a large scale, the classes are undoubtedly the best place for them in both the short as well as the long run. While a lot of other such classes and entering institutes in general may cost a lot of money to people initially, joining these classes is really not costly and hardly makes people spend truckloads of money in the procedure.

Certified & Qualified Teachers
Since these classes are dedicated in providing the best possible knowledge of maths, they always have the best faculty members. With a lot of experience on hands, the coaching provided to individuals by the people in these classes is definitely going to be top notch and the best of its kind. These classes are the most exclusive place for everyone who has an interest in maths and wishes to take that interest further by actually enrolling there to learn it in great depth later on. Such classes also offer high end and reliable services in terms of the learning of mathematics.

The Bottom Line
Joining these classes for the purpose of knowing mathematics in great detail has been highly recommended to everyone who has a keen love for maths in the first place. However, those who merely want to brush up on their existing skills can also join them in order to get to know more about the subject and how it can help them in the long run. Finding the best kind of places for learning maths may be complex at first but after searching online, individuals are most likely to come across a wide range of different top notch choices that they can easily choose from.


Friday, 23 January 2015

Concept Maths – The Top Kinds

A lot can be said about maths, which is one of the most exclusive subjects in the present times. Even decades ago when it was created, people found it to be the most helpful subjects which taught them to survive in the world. Till date, the subject has managed to prove its significance and how everyone is the world needs in order to acquire personal growth in both the short and the long run. Concept maths is amongst the best ways for people to learn everything there is about the subject and all that it has to offer initially and afterwards; therefore, gaining an insight about the main types of the subject is something that all people must do before studying it.

Concept Mathematics
By studying concept maths, individuals go on to also learn all the concepts that lay behind it. It is these concepts that maths is based on solely and with their proper knowledge, people can understand the subject a great deal better in the near future. Concepts are mostly rather complex and require a lot of time as well as understanding. However, when individuals give a good amount of time in finding the meaning behind these very concepts, they are likely to find all the answers they have been looking for since the beginning. This type of maths has several types and one of the most prominent ones include the concepts that surely must not be missed out.

Theoretical Mathematics
Moreover, theories are also a major part of this sort of maths and for it has to offer, individuals should most definitely give it a good amount of attention. Theories are an essential part of the subject and while some may be difficult, others may not be. Some are considered to be rather lengthy whereas others are much more easy and small in comparison. Those who understand the concepts as well as the theories are definitely on the right path and are likely to get a chance of becoming experts in the subject later on in their lives.

Basic Concept Mathematics
Mathematics starts off with the basics, which are also known as fundamentals of the subject. These are nearly not as lengthy or difficult as what has to come later on; hence, these are fairly easy for everyone to learn in a short period of time. On the other hand, these also allow people to comprehend what the subject is actually about in the first place. Those who wish to score well in the subject should definitely clear away their knowledge of the basics as with their help, they can surely understand the more detailed branches of mathematics.

Advanced Concept Mathematics
Apart from concepts, another important type of this sort of maths includes the more detailed parts of it. Advanced maths is quite complicated and often, many people fail to understand all that it has to offer in both the short as well as the long run but it is through the study of this kind of maths that people can actually go on to score immensely well in the subject without having to struggle too much in the matter. With concept maths, individuals get the ability to learn all sorts of parts and branches of the subject which are necessary for everyone to know in order to gain a better understanding of the subject.

The Bottom Line

All these types of this sort of mathematics have been considered to be exceptionally important and without the knowledge of one, acquiring the knowledge of the other is simply not as easy as one may expect it to be. Therefore, individuals should study all of these types in order to understand what mathematics is all about in the first place.  

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Wednesday, 21 January 2015

The Need for Learning Concept Maths

Learning mathematics is one of the most important things that people must pay attention to these days since it surely is worth it. The subject is a major part of studies in the loves of students who are attending schools, colleges as well as universities. Therefore, it is something that not a lot of people can miss out on as the choice is simply theirs, which includes going on with it for the purpose of joining prestigious universities in the long run. Concept mathshas been considered to be the best way for gaining many high end benefits through the subject. It is this type of maths which tends to allow people to understand the main subject in a short period of time and in great detail.

Real Life Applications
The best part is that the type of maths also has real life applications, which means that people can use it for the purpose of solving problems that exist in real life. On the other hand, it also enables people to solve issues within different topics, debates as well as discussions as maths tends to allow them with all the logic and reasoning they need in order to prove something. Since it has real life implications, it has been labeled as one of the most interesting and unique subjects till date. 

Analytical Skills
Through concept maths, individuals can go on and acquire a high level of analytical skills. These skills are important for anybody who wishes to do well in other aspect of their lives. It is due to the fact that analysis is required in every other part of life, which is precisely why studying this type of maths has been highly recommended to all those who wish to enhance their analytical skills at the earliest convenience. Through increased analytical skills, people can achieve high end jobs as well as entry in top notch universities that most definitely ensure a bright future in the long run. 

Critical Thinking Skills
Similarly, learning this kind of maths is also the best way for acquiring critical thinking. Mathematics has been labeled as the best subject that people should consult in the matter of enhancing their critical thinking skills. According to many surveys as well as education experts, critical thinking is something that requires a lot of time to develop and only through maths is this possible in the first place. Therefore, individuals should spend a good amount of time in the process of learning the subject as it ultimately allows them to have impressive critical thinking skills, which are going to help them in many aspects of life later on.

Mathematical Concepts
Another thing that makes concept maths a must these days is the fact that it enables students to enhance their mathematical concepts on a large scale. Concepts are something that holds a lot of importance in the subject and as it is completely based on these concepts, studying them in great depth has been required by anyone who wishes to know everything there is about it in the first place. People who wish to do well in the subject have been recommended to study it right from the beginning as that surely enhances their knowledge as well as their ability to think better. 

Concept Maths – The Bottom Line

These days, mathematics is behind all the technological changes that are being faced by people in the present times. Every other thing requires it, which is why having an adequate knowledge of the subject is something that is important for all those who wish to do well in the subject later on. Similarly, every other field these days requires the subject and those who know maths can always go on and choose any field that they love or prefer more than the other.  

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Monday, 19 January 2015

Daily Life and Primary School Maths – Its More Important than One Thinks

How many things one has to learn throughout his or her academic life that he or she thinks is of no or least importance and use ahead in their life? A handful really, name a subject and half of it if not more appears to be dustbin worthy when it comes to its practical usage in the real world. All philosophical mumbo jumbo turns to dust every time a student gets promoted to the next class. All what he or she had studies in the previous class begins looking like rubbish. Same is the case with math, the parts that are the easiest also are the ones that are more practical. The propositions like addition and product, percentages and probabilities etc are the thing that one can bet to use one day. These problems of math are covered in the very early stage of a student’s academics. Primary schools make the base of a student in all the subjects.

The level of math taught in high school level and beyond, is the one that seems the most useless. Students just study to pass the subject and to get promoted and the teachers simply teach to end the course in time. But the fact is that it needs to be given respect that is due. Math is never out of someone’s life, not even if they are done studying it, not even if they are becoming medical doctors or lawyers. Ancient philosophers stated math as not a subject of study but as means to understand and if used right, to spend the life.

Managing one’s finance is amongst the most common tasks that anyone encounters. At a young age, it is pocket money and at the working stage it is the salary of a person that matters the most for him. Managing it right brings leisure to life but then the question is that who uses it right? Primary school maths can help in saving so much money that one cannot even imagine. Finance is a scarce resource for everyone and it cannot be allocated in all the places all at once. If a person spends more on one thing, needs to offset and trade off another thing for it. But who is to tell how much should be spent on what. All of this comes to knowledge by learning a little advanced math than just the basic primary school maths.

Almost every person invests money at some stage of their life sooner or later. They may buy bonds, may deposit money in a savings account with a bank, or may even buy stocks of a company. Doing this requires calculation as well as analyses skills. Failure in doing even one of these two things can result in loss of whole life savings. Future projections of values can be easily calculated if one has studies a graduate level math course. Doing this helps in making big decisions related to finances like buying a house or not.


Math also comes in great use when it comes to taking care of health and fitness. Simple calculations tell a person about their body mass relation. It also tells them about the amount of dosage they need to take in relation to the degree of their ailment. In body building, they help in making sure that the weight being lifted is increased at a constant level. With all this being said, math is arguably the most widely and commonly used subject of all and has the most to do in routine daily life. Regardless of what one’s field is or what profession they are pursuing, math remains an unmovable necessity for them at all levels. 

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Sunday, 18 January 2015

Why do People Require Maths Enrichment?

Maths is one of those subjects without which, the survival of people is not possible in the present times. Due to this fact, the subject has been made a necessary part of the curriculum within schools and all other educational institutions that exist in the present times. People need to have a good amount of knowledge of the subject for a variety of different reasons, all of which are unique in their own special way. Maths enrichment gives individuals the ability to do a lot more than they usually can in their lives as they can easily go on to achieve a massive amount of success later on.

Solving Real Life Issues
It is important for people to know all there is about the subject due to the fact that it has real life applications and this means that individuals can always go on to apply it within their actual lives for the purpose of solving almost any kind of problems in both the short as well as the long run. The subject is amongst one of the most practical ones, infact there is not another subject that teaches more practicality than mathematics in the first place and that is precisely why studying it completely has been highly recommended to everyone.

Enhanced Career Options
On the other hand, maths enrichment enables people to pursue top notch careers that involve the subject. Almost every other field in the present times consists of maths, which means that people cannot avoid it even if they wish to. Other fields such as those of science as well as IT also require a good amount of knowledge of maths since without it, learning and understanding a wide range of different things is simply not possible. With enhanced knowledge of the subject, individuals get the amazing opportunity of being able to enter any field they want or prefer. It gives them an ability to choose from a wide range of different career options; something that people who don’t learn maths cannot attain.

Successful Careers
Furthermore, due to learning the subject from an early stage, individuals can always go on to become experts in a short period of time. As every other field requires great knowledge of maths, it is best to learn it right from the beginning in order to do well in it later on in life. However, through maths enrichment, individuals can go on to have the careers of their dreams as the subject has a lot to offer in terms of learning and practical problem solving, which allows everyone these days to gain success in record time.

Quick Thinking
Another reason to study the subject is the fact that through it, individuals get the ability to think better in the first place. Enhanced thinking is something that not everyone possesses but it can be achieved by studying maths for a long period of time. According to many reports as well as studies, proper learning of the subject is the reason behind increased thinking in both the short as well as the long run. With high end thinking skills, individuals can do better in many aspects as well as different situations they face in their day to day life.

The Conclusion

As far as the benefits of learning maths are concerned, they are countless in number. Ever since the subject was created decades ago, it has been immensely helpful in many things and till date has proven how important it is to survive in the world. Therefore, individuals who want to gain success in this life and that too, in a short period of time, learning the subject in all ways possible is something that they must put their mind to immediately. 

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Saturday, 17 January 2015

The Main Importance of Primary School Maths

Over the past few years, more and more children can be seen to be learning primary school maths since the subject has a lot to offer in many ways later on. While children should always give an equal amount of attention to all subjects, they have been suggested to send more time in the process of learning maths as it can be challenging and often quite difficult to comprehend. However, qualified and experienced teachers from all over the world can be seen to be teaching maths to children in order to enhance their knowledge as well as information about the unique subject in the near future. 

Leaning the Basics & Concepts of Maths
Studying the subject at this level allows children to be able to learn the basics of the subject. The basics are exceptionally important in order to have a good know-how of the subject within the long run. Therefore, teachers have been highly recommended to teach mathematical basics as well as concepts to children who can later on use these for the purpose of acquiring good grades in the subject without having to face any issues in the process.

Saving Time
Children should be taught maths at this stage also due to the fact that it teaches them to save a lot of time. Children are new to the concept of time and how it has to be managed when they are so young. Therefore, by teaching them mathematics, they are able to see how time works and what it actually is in the first place. With proper information about time, children can learn to use it to their advantage and go on to learn saving time for many important events and things, such as tests, in their lives.

The Development of Interest
Studying mathematics at primary school maths, the subject also teaches children to be able to acquire an interest in the subject since they get to learn it for the very first time. When children are introduced to something, they may love and they may not, but with a passage of time, they can learn to adapt to it and in this case, it is highly important considering the significance of this subject for their futures. Therefore, as soon as they have been introduced to the subject, they are likely to acquire a growing fondness for it, which will help them study the subject in a much better way later on.

Out of the Box Thinking in General
A major reason for studying primary school maths level is the fact that it allows students to achieve out of the box thinking. While many children are creative right from the beginning, many others are not, which is why teaching them mathematics has been highly recommended since it allows them to think deeply on a day to day basis and that results in increased creativity and out of the box thinking. While there are many other subject that can be taught in order to achieve this, maths has been labeled to be the best one when it comes to enhancing creative and deep thinking process.

The Conclusion

With all that mathematics has to offer to children, learning it right from the beginning tends to give them an opportunity to understand the subject efficiently and that too, without having to struggle too much later on in their lives. Maths is an exceptionally diverse subject and enables people to join a wide range of different fields in the near future. Therefore, giving the subject importance since this stage of school is something that all parents and teachers should take into thorough consideration as without it, surviving in today’s world has become rather impossible. Moreover, the subject at this level is also much more fun and interesting. 

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Thursday, 8 January 2015

Should you Study Heuristics Maths?

There are many other important subjects that people should study these days but maths is certainly the best one amongst them. It is because of the fact that it tends to help people in becoming successful in every possible career there is. Therefore, those who have not yet been acquainted fully with it should now do so since it really is mandatory. The study of heuristics maths is important for everyone to learn since it basically allows everyone to understand everything there is about maths in the first place. It may be complex at first but with time, individuals can easily understand all the concepts behind it.

Wide Career Choices
Individuals should be fully aware of the fact that heuristics maths comes in handy when choosing any kind of field. Be it maths, or science or information technology, it tends to help them in all ways possible. This is due to the fact that maths is required on a large scale in all of these fields and in order to understand them fully in the long run and to be successful, most importantly, individuals need to acquire high end knowledge of heuristics mathematics and see how everything in different careers in linked to it thoroughly.

Problem Solving in Real Life
Heuristics maths enables people to solve real life problems as well. This is due to the fact that the subject has real-life applications which can completely benefit people in a lot of ways. This is why it is currently being taught in schools, colleges as well as universities worldwide. By learning this, individuals can find the solutions for many real life problems that can be pretty difficult otherwise. It is amongst one of the many reasons why this type of maths has managed to progress immensely over the past couple of years into various locations of the globe.

Acing Entry Tests
It also tends to help students do well on entry tests and all other tests as such. This is due to the fact that it allows them to think out of the box and to apply critical thinking into various parts of the test which are complicated in general. Critical thinking as well as proper analysis can make students do great within tests and it is only through the proper learning of this type of maths that they can actually go on the achieve their goals in the near future. All in all, test scores can be drastically increased by learning heuristics mathematics.

High End Intelligence
On the other hand, it has a lot to do with intelligence. According to many surveys as well as studies, this type of maths is the answer to the questions of all those individuals who wish to find a way through which they can enhance their thinking. The subject requires a lot of analysis as well as thinking, which makes it rather complex at first but it can eventually be understood when people push their mind further for the purpose of acquiring the answers they need in the first place. Basically, through it, the thinking process can be increased, which in turn tends to eventually enhance the intelligence of an individual.

Heuristics Maths – Is it worth Studying?
One can easily say that this kind of maths is very essential for anyone who wishes to choose a mathematics related field. It is also exceptionally important for anyone who wants to do well at maths in general and needs to acquire enhanced intelligence as well as critical thinking. For all that it offers, heuristics mathematics has been fully introduced into the curriculums of many schools in the US, UK and many other countries in the present times. Moreover, it can now be seen to be spreading all over the world as well.

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Wednesday, 7 January 2015

Ways to Boost Memory – Enhanced Math Skills.

Children of younger age are more prone to getting disheartened after not being able to catch up with the number related subjects. This is a very big problem because at that stage, the career path of students gets selected and impacts them throughout their lives. They get wore down by not being able to solve equations and as a result they simply lose interest in the subjects and may even go rebellious against studies. 

Memory problem is the root cause of children not being good at mathematics. It has been revealed by research that majority of children that have a sharp memory, are the ones that actually do good at arithmetic subjects. Faulty working memory causes faults in calculations and also accounts for wrong formula usage. 

Heuristics Maths is a difficult subject and before the numbers get written o the paper, naturally, it gets solved in the mind. This mental math needs a very good and reliable working memory, in the absence of which, the learner starts feeling sick and uninterested in the subject altogether. Here are however 5 ways through which one can boost the memory that results in better performance at calculations.

Help Working Memory:
Using tools can overcome this disadvantage. One can use an audio recorder to record the teacher’s audio during the class that can be heard afterwards. This is good in case the child has poor concentration level and complains about not being able to listen to the lecture carefully. Simply sitting in the front row does not remedy this problem because it has nothing to do with the distance from teacher and has everything to do with the mental strength of the student. Calculator in use needs to be suitable with the user’s age. A scientific calculator should not be used till the child turns at least 15 since there is no use of its operations at least till high school. The child needs to repeat each calculation on the calculator that the teacher does on the board.

Calculation Games:
It is really surprising how games like the “minesweeper” could teach children math and improve their calculation skills. Games are interesting and can be helpful too. There is next to infinite number of games available that can improve the math skills of children. Engaging games that come in good graphics teach students instead of spoiling them and damaging their eyesight. Geometry, trigonometry and calculus are the areas that specially benefit from the right usage of such games.

Brain Training:
Sometimes it helps to let children research on their own a bit. This trains and warms their brains up making it easier for them to accept ideas and grasp concepts. The topic to research not necessarily has to be math, the basic purpose is to have them sit and study for a few hours developing this habit in them. Once this gets developed, then they can easily learn even the most difficult of concepts in the toughest of subjects.

Over Learning Method:
One can always get their children to over learn things because doing that makes them lesser dependent on their working memory. When children over learn, they tend to grow confident in learning the next levels of math. The knowledge turns into reflexes through this method. Solving heuristics maths, eventually becomes not harder than solving a fun puzzle.  

Multimodal Approach:

For very young aged children, pictorial learning is what appeals to them the most. Visual representations of calculation based questions makes children ready to comprehend with word problems in the next classes to come. This also helps in aiding the working memory of the child.    

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Monday, 5 January 2015

Why Study Heuristics Maths?

Everyone needs to have a good amount of mathematical knowledge in the present times for the purpose of being successful in the short and the long run as well. While it may seem rather boring and too complex at first, it is likely to get easier eventually. Teachers should give a good amount of importance in the matter of teaching heuristics maths to all students it is what shapes their overall idea of the subject in the first place. On the other hand, proper maths training of the subject allows students to understand everything there is about the subject, only to actually opt for it in the future. 

Enhanced Brain Activity
Students need to be taught the subject due to the fact that it allows them to have enhanced thinking skills, which are necessary for all children at this age. The type of maths is also responsible for helping children in the process of problem solving and to make better decisions. The brain of children is eager to learn at this level and by studying maths; they are most likely to adopt a good amount of proper things which will eventually become very beneficial in the long run. Hence, mathematics should most definitely be taught at this level for encouraging brain enrichment in young children who are likely to go on and have bright futures.

High End Introduction
One of the most prominent reasons for studying heuristics maths is the fact is that it actually enables children to know what the subject is in the first place. As it is their introduction to the subject, teachers should always try to make it interesting as first impressions are said to be last impressions. Once children are familiarized with the subject, proper activities as well as projects must be attempted in order to enhance their knowledge in a short period of time. According to many surveys, it is the study of this subject when students actually develop a fondness for it, so teachers must really make use of this opportunity.

Management of Time
Heuristics maths is also very important due to the fact that it teaches children about many other prominent things which are most likely going to help them in the future. One of these things involves the management of time, which really cannot be possible with having sound knowledge of mathematics in the first place. Therefore, studying the subject is mostly encouraged as it surely it quite mandatory, even when a lot of people may not find it so. Time management comes in handy in many special occasions in life, for instance finishing final exams as well as tests that are exceptionally important in the short as well as the long run.

Handling Numbers
On the other hand, the knowledge of maths goes much further than this as children actually gain the ability to learn about numbers. Maths is a subject that consists of numbers only, which is why students need to understand this right from the beginning in order to do well in the subject later on. While many students are likely to pick up on the subject immediately, others may take time and this is something that teachers need to be patient about as carrying a class as a whole is their job. Only through the introduction of maths are students going to understand and know numbers.

Conclusion

For all that it is worth, children should definitely be taught maths at this level with great care and dedication as whatever they are taught at this stage is most likely to stay with them forever. Studies have also revealed that students who are taught the subject properly right from the beginning by qualified teachers are actually the ones who go on and opt for it later on in their lives and also end up pursuing careers in this very subject. 

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Sunday, 4 January 2015

Major Purpose of Learning Heuristics Maths

Mathematics is difficult due to the fact that the subject involves many intricate details and technicalities which can be hard to comprehend a lot of times but even then, it is worth learning. More and more people can be seen to be studying the subject these days as it has a lot to offer in terms of learning and knowledge that can be applied into real life in order to achieve the answer to many questions. Learning heuristics mathsh as many benefits, which is why the matter should definitely be taken into thorough consideration as by studying this type of maths, individuals can surely go on to become immensely successful in the near future.

No Mistakes
A very prominent benefit of studying this sort of maths is the fact that it enables people to make much less errors in anything that they do. The major purpose of learning this sort of maths is to help decreasing errors by a long shot; therefore, those who have not yet given it a lot of attention must definitely do so now as it surely is going to help them in many ways in the long run. Error making is something that everyone does but the rate of making errors can now be reduced by a long shot by applying all that heuristics mathematics has to reach.

Decision Making
Learning the subject is important also due to the fact that it enables people to become better decision makers later on. Decision making is a crucial process and not many people are good at it since there is a lot of pressure and thinking involved. Therefore, this sort of maths must always be learned for the purpose of strengthening decision making skills without having to struggle too much in the matter. With better and enhanced decision making skills, people can go on to achieve a top notch status in many high end firms in today’s world.

Problem Solving
Heuristics maths is the kind of maths that refers to problem solving. As problem solving is a huge part of the subject, individuals should see all that they can learn from it in a short period of time. Problem solving maths can be applied into real life for the purpose of finding the answers to many situations as well as complex questions. This sort of maths is best for anyone who is interested in problem solving and wishes to learn everything there is about it, one way or the other. The problem solving technique can be applied to a variety of other situations as well, all of which would benefit a person immensely.

Efficiency
Heuristics maths is also significant due to the role it has to play in increasing the efficiency within people. The trait is not possessed by everyone out there and for the purpose of enhancing efficiency in making judgments or anything as such, studying this kind of maths has been highly recommended to everyone out there. Reports and surveys have revealed how important it is to study the subject as more and more people have been seen to feel increased efficiency in almost everything that they do.

The Bottom Line

All in all, studying this sort of maths is something that must not be neglected as it brings a wide range of many advantages to people immediately and also in the near future. It is important to see that the world cannot function without maths, which is precisely why individuals need to have a good amount of knowledge of the subject since it enables them to develop their basic skills into extensive ones after a while. As far as learning this is concerned, it can be done so within a short time period. 

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Saturday, 3 January 2015

Heuristics Maths for Children – The Advantages.

Students are being taught a wide range of different subjects in schools these days but heuristics maths is by far the most effective and unique ones. The subject can be a challenge right away but with the right kind of coaching, children are not likely to be intimidated by it. Therefore, teaching have been recommended to teach the subject with great care and attention since that allows children to be able to comprehend it without facing many issues in the matter. There are a wide range of many high end benefits of teaching this kind of maths to children and one of the most prominent ones include real life problem solving. 

Dealing with Numbers
One of the most prominent benefits of this kind of subject for children is that it enables them to deal with numbers right from the beginning. Mathematics is all about numbers, which is why children need to recognize them in order to know how to use them for their own good. Knowing how numbers should be used gives them the ability to understand the subject in a much better way which allows them to also have a fondness for it. However, that entirely depends on how the subject is taught in the first place as many teachers can sometimes make it very dull.

Improved Creativity Skills
Heuristics maths is the best due to the fact that it enhances creative thinking. Every child has a lot of imagination that they can always push just a little bit more in order to acquire the answers to many questions. Learning this subject right from the beginning is one of the most amazing sources for increasing creativity and that is precisely why the subject is given so much importance in the first place. A lot of studies have revealed that children who do well in maths are also much more creative than other children who do not necessarily give the subject a good amount of attention in the first place.

Dealing with Calculations
On the other hand, children also need to learn a lot of calculations as those are going to become a huge part of their lives later on in the long run. It is only through this subject that they are most likely to learn about a wide range of different calculations such as addition, multiplication, subtraction as well as division in the future. These calculations are taught to children through heuristics maths for the purpose of enhancing their knowledge as well as familiarizing them with numbers on a large scale. With great knowledge of calculation, children can understand the subject and all that it is about easily, without facing many issues in it in the near future.

Dealing with Time
Another very essential thing about this subject is the fact that it teaches everything there is about time to children. As they are new to the concept of time, they need all the assistance they need in the process of understanding how it works and how they can manage it, most importantly. Only through the existence of maths have people come to count time and use it to their advantage whenever they want. Teaching students about time and its management is amongst one of the most prominent reasons for teaching the subject.

Heuristics Maths – Is it really Important?

With all the high end benefits of this type of the subject, it is necessary to be taught for the purpose of grooming children the right way and helping them figure out a wide range of many things they could not have before. Mathematics is currently being taught in a lot of schools because of these very reasons and will be continued to as it allows children to have immensely successful futures later on within their lives. 

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Friday, 2 January 2015

Concept Maths – The Significance .

Even though mathematics is exceptionally intricate, it still has enough reasons to convince anyone for studying it in both the short as well as the long run. The world has progressed immensely over the past couple of years and all of this development has been done through maths, which is precisely why it is so important in the first place. The subject has become the core of many high end fields these days that people can eventually choose if they wish after becoming fully acquainted with maths. Concept maths is something allows people to get an insight about the subject and how it can be actually learnt later on.

Selecting Careers
The subject is highly important for anyone who wishes to have a bright future. This is due to the fact that more and more fields these have require maths and those who do not study it or cannot do well in the subject often stay behind as a result. Therefore, having exceptionally good mathematical skills is something that most people need to have if they wish to actually gain success and want to be someone big in a short period of time in the future. For that purpose, high end learning of the subject is required by all costs.

Developing Reasoning Skills
Individuals have also been highly recommended to learn maths due to the fact that it allows them to achieve a higher sense of logic as well as reasoning. These can come in handy in the process of discussing a wide range of different topics and discussions which are crucial in every day’s routine. Hence, mathematics has always been used for the purpose of providing proper base and evidence in matters such as debates and everything as such. With prominent figures that are facts, one can surely use the subject to their advantages at all times and that too, without facing any kind of trouble in the matter.

Development of Deep Analysis
A common reason behind studying concept maths is the fact that it enables people to have enhanced analytical skills. With increased analytical skills, individuals can not only score well in mathematics, but they can also go on to score high in a lot of other subjects in the near future. This is something which cannot be acquired from any other subject and through maths solely can individuals go on to do analysis in different aspects of their lives. Analytical skills can be difficult to achieve but with proper learning and studying of maths, the process is most likely to become easy later on.

Development of Critical Thinking
Another one of the most prominent reasons for studying concept maths is the fact that it enables people to develop a good amount of critical thinking which helps them overcome a lot of obstacles in their daily lives and in the long run as well. With increased critical thinking, people can actually achieve a lot in their lives and this has been fully revealed through different surveys that have shed light on the fact that studying this kind of maths eventually does enhance the critical thinking power so many people wish to achieve in the present times.

Concept Maths – Is it worth studying?
After all that this kind of mathematics has to offer to people, everyone surely needs to study it in order to enhance their chances of a bright future. Not only is the subject great for studying and increasing thinking skills, but it is also best for anyone who wishes to be able to enter fields that require maths. On the other hand, it gives individuals the ability to have increased reasoning and logic, which is another thing that makes this subject stand out from all the other ones that exist these days and have been since the past few decades. 

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Friday, 26 December 2014

Teaching Primary and Preschool Maths Using Multiple Intelligences (PART 2)


Achievement Tests
At the end of the first three-week intervention period, pupils took a 25-item short answer review test on “Fractions”. At the end of every sub-topic on “Decimals” within the second six-weeks’ intervention period, pupils sat for a 25-item short answer review test.

Qualitative Data
Pupils’ interviews and teachers’ observations and reflection journals were also used as instruments for the qualitative data collection.
Procedure

The study was quasi-experimental in design and equivalent group post-test only design was adopted. One teacher taught the comparison classes and another teacher taught the project classes from the low and average-ability groups.

All the pupils and teachers involved in the project underwent MI diagnostic testing. The teachers were briefed on the findings and how it can help them to improve the way they learn and the way they help the pupils to learn. The project group teacher was given her class’s MI profile which showed the detailed intelligence variability within the class. This would help her to design and customize her Mathematics lessons to cater to the dominant multiple intelligences of the pupils in her two project classes.

Table 3 shows the results from the MIDAS Questionnaire which summarizes the MI profile of all the pupils. It indicated that pupils have all the eight multiple intelligences in almost equivalent dominance. The naturalistic intelligence was the strongest intelligence overall. All of the pupils’ intelligences were above the 50th percentile.

Scale
Natural
Musical
Spatial
Ling
Logical
Kin
Inter
Intra
Mean
55.9
54.1
53.8
53.8
53.1
52.9
52.0
50.8
SD
16.4
14.0
14.7
14.2
13.4
14.7
15.0
14.4
Table 3: Main Scale Means (N= 140)

Ability Group
Low-Ability Group
Average-Ability Group
Multiple Intelligence
Project
(N=30)
Comparison (N=32)
Project
(N=38)
Comparison
(N=40)
Musical
56.4 (12.1)
56.9 (14.7)
54.4 (12.4)
55.7 (16.1)
Kinesthetic
56.8 (11.4)
50.1 (14.2)
52.2 (15.9)
57.5 (14.5)
Logical
56.2 (12.4)
44.6 (13.3)
54.5 (14.0)
56.2 (12.8)
Spatial
58.8 (12.3)
52.6 (15.3)
54.2 (16.2)
56.0 (15.1)
Linguistic
53.3 (13.7)
51.0 (17.0)
54.8 (15.1)
57.2 (13.3)
Interpersonal
54.5 (13.1)
49.4 (16.4)
52.4 (17.0)
54.0 (14.3)
Intrapersonal
52.4 (12.1)
45.0 (12.5)
51.2 (16.1)
54.4 (14.7)
Naturalist
56.4 (16.7)
52.1 (16.4)
58.3 (17.9)
57.3 (15.6)
Table 4: Mean Score and Standard Deviation of Class MI Profile

Table 4 shows the MI profile of each of the project and comparison classes. The comparison group teacher was not given the results of his class’s MI profile. He was to carry out his Mathematics lessons using the traditional method of teaching.

The instruction for the two groups during the three-week treatment, varied in the following ways. The comparison group was taught the traditional method of “drill and practice”. The project group was taught the MI lessons daily where pupils were engaged in activities that encompassed all the eight intelligences. Pupils were taught using colourful and attractive visuals on power-point slides and were engaged in some of the following activities:

·         logic problems, reciting rhymes, raps and jingles
·         singing songs on mathematical concepts, constructing models, posters and number lines,
·         playing board games, “Bingo” and “Uno”
·         handling real life authentic manipulatives
·         working in pairs and groups
·          brainstorming and presenting their project work
·         Reflections on the day’s lesson in their journals.

The MI infused lessons on “Fractions” were crafted by the project group teachers. The comparison group teacher was not involved in the crafting the MI lessons so as to reduce threats to internal validity of the research project. At the end of the three-week treatment sessions, both groups were administered a review test on “Fractions”. The results from this post assessment would determine if the project group achieves a higher mean score than the comparison group. Fifteen pupils were selected at random from the project group to be interviewed to get their feedback on their MI infused lessons.

In the second semester, both the project and comparison groups were taught “Decimals” through MI infused lessons. The comparison group teacher was given his class’s MI profile which showed the detailed intelligence variability within the class prior to the six-week MI intervention. This would help him to design and customize his Mathematics lessons on “Decimals” to cater to the dominant multiple intelligences of the pupils. The pilot group teacher and the comparison group teacher crafted sixteen MI infused lessons on “Decimals”. Both groups were administered a series of four review tests. The results from these review assessments would reveal if the project group achieve a higher mean score than the comparison group due to the longer exposure to MI. Five pupils were selected at random from each class to get their feedback on their MI infused lessons. A focus group discussion among the project teachers was also conducted to get their feedback on the whole project.

PETALSTM was also administered before and after the intervention period. Post-test results of the project group would reveal if there is an increase in the level of engagement among pupils who are taught Mathematics using the MI strategies and if the longer exposure to MI has a positive impact on pupils’ engagement, motivation and attitude in the learning of Mathematics.


Results


Measure

Mean (SD)
Effect Size
Pretest
Post-test
PETALSTM Scale
Pedagogy
69.6 (16.6)
76.1 (15.8)
0.39
Experience of Learning
64.0 (19.3)
68.8 (18.5)
0.25
Tone of Environment
70.7 (13.7)
70.8 (19.5)
0.01
Assessment for Learning
67.1 (15.6)
73.8 (17.7)
0.43
Learning Content
66.3 (19.2)
75.6 (17.7)
0.48
Engagement Scale
Affective Engagement
76.4 (17.7)
81.1 (15.0)
0.31
Behavioural Engagement
75.4 (15.1)
78.1 (18.2)
0.18
Cognitive Engagement
72.4 (16.9)
77.0 (15.8)
0.27
Table 5: Mean comparison on pretest and post-test survey of the project group (N=68)

Table 5 shows results of engagement level among the two project groups. The results revealed a small to moderate effect size for Pedagogy, Experience of Learning, Assessment for Learning and Learning Content. The intervention had a higher impact especially on Assessment for Learning, and Learning Content.

The following graph shows the results from the review test on “Fractions”. There is a difference of 12.0 in favour of the project group. Thus, it may be concluded, with some degree of reservation, the MI intervention has a significant impact on the higher achievement among the project group pupils. Results indicated that the MI intervention seemed to have a greater impact on the low-ability pupils.

 

  
The following graph shows the results from the review tests on “Decimals”. There is a difference of 15.0 in favour of the project group. Thus, it may be concluded that a longer exposure to the MI intervention has a positive impact on the higher achievement among the pupils who were taught through MI strategies for nine weeks as compared to the comparison group pupils who were taught through MI strategies for only six weeks. Results also indicated that the MI intervention has a greater impact on the low-ability pupils.

 





Table 7 shows the motivational and attitudinal levels of the comparison and project groups. For all the ten items, the project group scored higher than the comparison group. This suggests that a longer exposure to the MI intervention has a positive impact on the motivational and attitudinal levels of the project group pupils who were taught through MI strategies for nine weeks as compared to the comparison group pupils who were taught through MI strategies for only six weeks. Results also suggest that the pupils were more influenced by exciting, interesting and challenging lessons.


Table 7: Comparisons on motivational and attitudinal level means
No.
Item
Project
group
Comparison group
Effect size
F1
I am excited about learning.
85.8 (17.4)
72.5 (22.1)
0.60
F2
I am interested in what is being taught.
84.1 (20.5)
69.6 (23.2)
0.61
F3
I like the subject.
83.1 (20.0)
74.1 (24.4)
0.37
F4
I like doing the activities.
83.2 (21.7)
75.9 (23.2)
0.31
F5
I want to learn more about this subject.
81.7 (18.0)
73.5 (24.7)
0.33
F6
I look forward to the lesson.
84.9 (22.2)
74.2 (21.1)
0.51
F7
I like learning because what I learn in class is useful.
79.0 (24.3)
70.0 (27.2)
0.33
F8
I will keep on trying even if the task is difficult.
79.8 (20.0)
69.7 (24.2)
0.42
F9
I like the challenging work given to us.
79.6 (22.5)
66.0 (27.5)
0.49
F10
I like learning because I can choose the task that I do best.
77.0 (22.6)
64.3 (25.8)
0.49

In addition to the quantitative data, feedback from the project group affirmed the improvement in attitude and the high motivation experienced by pupils from the MI infused lessons. Below is a blog entry by a pupil:

  • “We sang a lot of songs about decimals and fractions. It is very fun and interesting learning decimals and fractions. Our teacher teaches us different types of methods and using [attractive] power point [slides] to teach our class. I love Maths! It is really fun to learn! All the questions [are] like solving mystery cases! We also played Maths games to learn. Our teacher teaches us Maths in very fun ways. I love to play more Maths games and learn more about Maths! The Problem Sums are really challenging! Maths is Fun!”

Feedback from the project teachers further affirmed the improvement in attitude and the high motivation observed in pupils through the MI infused lessons. Below is a teacher’s reflection:

  • “I have seen for myself how planning a lesson that involves multiple intelligences actually makes the lessons more exciting for the pupils. Pupils can relate better, recall the learning points better, and on the whole, they are more motivated, even to do homework. By getting pupils involved through activities, songs, stories, and using powerpoint slides packed with cute pictures and animations, pupils actually looked forward to learning. This is true “Teach Less, Learn More” in action.”


Discussion and Conclusion

Based on the analysis of the data presented, it is seen that the MI intervention in the area of Mathematics has made positive contributions for the pupils’ engagement, motivation, attitude and achievement towards the learning of Mathematics. Pupils’ and teachers’ reflections support the statistical findings.

The findings obtained from this study, resembles other studies which evaluate MI instructional approach for the pupil success and attitudes. In a study by Cluck and Hess (2003), results showed improved assignment completion, class participation and engagement of learners using MI. Bednar, Coughlin, Evans and Sievers (2002) showed an increase in pupil motivation and positive attitude through the use of MI. In Douglas, Burton and Reese-Durham (2008), results showed considerable increase in academic performance on pupils taught through MI compared to those taught using the traditional method.   Three of the four improvements were observed: improved academic performance, greater impact on the low-ability pupils and behaviour improvements namely on pupils’ attitude and motivation in learning of Mathematics. Discipline problems tend to disappear, as reflected by the project teachers, when pupils are excited about learning in a fun filled lesson.

The success of the project led to a refinement of the prototype and an emergent model for “Teaching Mathematics through Multiple Intelligences” in West View. By 2010, all teachers were involved in infusing MI strategies in their Mathematics lessons. The significant improvement in the school’s Math PSLE results, an increase in percentage pass from 66.4% in 2009 to 81.1% in 2010, indicates that MI has positive impact in pupils’ academic performance. Pupils who were taught Mathematics through MI over three years (2008-2010) produced better PSLE scores than pupils who have not been taught through MI.

In closing, the most beneficial aspect of our research is that it takes into consideration human differences within the classroom and teaches the subject matter in a variety of ways appealing to all learners.

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