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The Most Important False Fixed Beliefs About Mathematics and Their Solutions

Many people have fixed beliefs about mathematics. Well it is natural for someone to have an idea about some issue but in the case of mathematics it is different. A lot of the time these beliefs are internal and built in and are not developed from experience. That is to say people have beliefs about this scientific field that they are born with. They develop their beliefs about mathematics later on in their lives by their experiences.
The reason for this is that mathematics is about logic and common sense. It is about reasoning and deduction. If we examine this simplified definition carefully we find a very close resemblance between this subject and the human brain. The main function of the human brain is logic, reasoning and common sense. This is why everybody naturally has a view about mathematics. It is seen as a symbol of brains and brilliance. Those who are generally confident and in high mood would see this subject in a positive way. Once they see this subject positively they usually do very well in it. They, in a nut shell, trust their brain. On the other hand, those who are usually depressed or those who are easily depressed would see the subject in a bad way. That is to say they would see the subject in a negative way. They do not trust their brain. You see how they interrelate their brains with mathematics and see their brains as mathematics and vice versa. Life experience builds on these beliefs and develops them further. This causes many myths to rise about mathematics.
One of the most common false fixed beliefs about mathematics is that people are born with mathematics talents and you do not acquire it. This is because mathematics symbolizes brains. People believe it is a god given talent and if you do not have it then you should quit. This is contradictory to simple fact. Those who are brilliant in mathematics were not so good at the very initial start and had their difficulties. They had to spend endless hours of hard work till mathematics worked out with them well and easy just like magic.
As a matter of fact people studying this subject now are more privileged than those of the past. There are many new references to choose from. There are many new innovative software calculators that can be used in laboratory experiments to reinforce the understanding of the concepts. If the students did all this work properly they will be good at mathematics. They are lucky enough that they do not have to do the very hard work that the early mathematicians used to do.
Sometimes the teachers of mathematics do not stress on the practical value of the subject. They do not show the students the value of what they are taught in their every day lives. A lot of students see that the subject is to sophisticated and is of no use. The solution for this problem is very easy. It is in the hand of the teachers. Teachers should develop their methods of teaching to add some practical element to the subject. For example they can create a class project which is a practical real life problem that the students solve with the mathematics skills that they developed. They should divide the students into groups. Each group does a particular project. Each group at the end does a presentation in front of the class of the project. The groups should use software calculators to do their practical calculations. This way not only the students will know how important mathematics is in real life but they will also find it much fun.
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Tips for Setting Up a Special Education Classroom

When dealing with special needs children, setting up the classroom may be one of the most important things you can do to make your year successful. Many special needs children regardless of their diagnosis have similar things they find difficult. Below are many ideas to help the teacher arrange and get the classroom ready for the year to begin.
1. Make a visual schedule for students to follow each day.
2. Put tennis balls on the bottom of the chairs to decrease the sound in the room.
3. Be very aware of sensory issues. If a child is overwhelmed by sensory stimuli in the classroom this is going to distract them making it impossible for them to concentrate.
4. Prompt students when they get off task. Sometimes this may be just walking over to the student and putting a hand on their back.
5. Use things like visual supports however make sure the visual supports aren't so cluttered the child becomes overwhelmed by it.
6. Teach organization. This can be a notebook with all their information in one place.
7. Have open communication with parents so they can follow through and there is a consistent way of doing things.
8. Model appropriate behaviors.
9. Many children have problems with memory, help make flashcards so they can find what they are looking for and help them study.
10. Seek out and understand success as much as possible.
11. Break tasks into smaller tasks. Don't give them a huge task or a list of assignments and expect them to follow through. They are much more successful when its broken down.
12. Go for quality rather than quantity with classwork and homework. Keep in mind, many children with special needs take medication and remember that the medications are wearing off by the end of the day. Before assigning homework is it really necessary?
13. Make consequences logical and reward often. Come up with a reward system so the children are getting positive reinforcement on a continuous basis.
14. Use privacy boards when there are things going on around the room.
15. Move student's desk to where there are fewer distractions. Most of the time that will be beside the teacher, up front or beside a quite child.
16. Many times it's better to use rows for seating if possible. Group seating is just too much stimuli for them.
17. Keep a portion of the room free from visual stimuli, noise and windows.
18. Use headphones to play while noise or soft music to help block out what is going on in the classroom.
19. State directions, write them down, speak them and repeat. Special needs children need information more than once and in multiple formats.
20. Be sure to get eye contact. They sometimes are not "able" to pay attention. Reward or praise them when they do have eye contact. This is very difficult for them.
21. Allow escape if a child can't deal with a problem. Allow them to go to the assigned area in the classroom where they can go and calm down.
See how these tips help. Please leave me a comment and let me know if they were helpful.
Kerry Johnson
Mom to a 14 year old special needs child.
Special needs classroom.

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The Cost and Benefits of Social Inclusion in Education - Should Failure Still Be an Option?

When social inclusion is discussed in education, it means an amalgamation of students from diverse backgrounds with a wide range of abilities located in mainstream education. Slow learners are grouped together with high achievers, and teacher assistants are employed to work with students who are physically or mentally challenged to the point where they qualify for this assistance. In public education there are seldom enough support staff employed do this work effectively and over the years the criteria for qualifying have become more restrictive. As a result, students who could benefit are often overlooked or the onus is thrown onto the teacher to provide individual learning plans which are meant to provide educational opportunities at the particular student's level of academic progress.
'Social inclusion' has now resulted in many if not all, special schools closing their doors and their students attending mainstream institutions. The promise of 'social inclusion' sadly, is an illusion. Students, who previously would have attended schools with teachers trained to help them, are not included in the peer groups of so called 'normal' students just because they attend a mainstream school. In many cases, teachers are not trained to deal with their specific needs and simply do not have the capacity to cater for the very broad spectrum of students in their classes. At the same time, the academic progress of the other students in the class is held back, whilst the teacher attempts to ensure that the disadvantaged students do not fall too far behind. At both ends of the spectrum of students, this situation is a recipe for boredom and behavioural issues to surface, which further reduces the learning that should take place.
Social inclusion was first introduced with a government commitment to provide the necessary Aide time for those students in need. However, over time the bar has been set so high to receive Aide funding for a student that it is almost impossible to qualify, unless the student is severely mentally or physically impaired and is unlikely to be ever able to function independently, even into adulthood. This then begs the question, 'what does social inclusion achieve in those instances'? Such individuals are seldom accepted by their peers as equals and if not directly bullied will always 'stand apart from the herd'. Meanwhile, those who have some potential to become independent and self-sufficient adults, but who are still somewhat disadvantaged, compared with the 'norm' are left to struggle on or fall further behind, deprived of any support. Yet, this group with a little 'seed funding' should not become a burden on the tax payer in later years.
Previously, special schools were available for students unable to cope in mainstream education. Special needs students gained confidence and coped well in an institution predominantly tailored to suit their needs, whilst under the direction of trained staff to help them reach their full potential. Such schools were also able to offer a better student to teacher ratio, than is feasible in mainstream schools.
The decline of special schools has been further complicated with the abandonment of what is now considered the politically incorrect practice of 'streaming'. Students used to be allocated to classes based on ability groupings which saw students with similar academic abilities sharing the same class. This is now a practice that cannot be condoned openly as it seen to label a student. However, students label each other very effectively within grade years and mixed ability classes anyway, they do not act as a homogenous group; they clump together based on a number of criteria that also includes academic ability. Streaming of classes simply identifies students of similar academic ability in a particular subject and would greatly improve their progress as a group precisely because the teacher can pitch their learning to the group's ability levels, rather than deliver a programme aimed at some intermediate level in the hope that those in the class at the bottom end of the spectrum can keep up, whilst those at the top, do not become bored. Good in theory but very difficult to put into practice effectively day in, day out, throughout the year. The closure of special schools for the educationally disadvantaged has only exacerbated this by further widening the academic gap between students in the classroom.
Meanwhile, the possibility of failure was always a component of normal education until recent times. Progress in education presumed that the individual had learnt sufficiently in the present academic year to be able to cope with the next. In the last twenty or so years this presumption has largely been abandoned in primary and secondary education. Students progress from one year to the next irrespective of what they have learned. There are arguments for and against this trend. In favour is the fact that the student progresses with his peer group and thereby avoids the social stigma attached to being 'held back'. Their self esteem is thereby not undermined. Unfortunately, this trend also means that the student hardly experiences failure until after they leave school, at which point the real world teaches them a very hard lesson, namely that they cannot be protected from failure and that contrary to what we may wish for, the adult world is competitive and there are winners and losers in all aspects of life.
Experiencing failure in school hardens a student to cope with challenges in adulthood; it builds resilience and is an intrinsic motivator. If there is no chance of failure and its unwished for consequences, then there is little in the way of a driving force to succeed and only those students who can somehow develop motivation from within or who are driven by external forces, such as their parents, will succeed. The present system also drags down those who would otherwise have risen to the challenge of education because those who do not have the motivation will target those who do and seek to reduce their ambitions. It is 'not cool' as a teenager to be labelled as a 'nerd' because you actually want to learn; many otherwise capable students succumb to this sort of peer pressure.

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The Importance of Good Exams to the Development of Mathematics Education

Tests are supposed to measure the students' abilities and potential. The student who performs well on a test is supposed to be good or talented in the subject and the student who does not do well in the test is supposed to be poor in the subject and needs extra training.
What is really happening today is that tests do not reflect the students' abilities. This has disastrous consequences. When unqualified students go to do a mathematics degree and eventually become mathematics teachers or researchers they lead to the decline of future generations in mathematics.
What is happening in schools today is that administrators are applying pressure on teachers and the teachers pass this pressure on to the students. The teachers teach the students only to prepare them for the test. The point is not to make the students understand the concepts. After all this pressure exerted on the teacher he only cares that the students score high on the test. One of the main issues that face the teachers when they do that is that parts of the syllabus are skipped on the test and thus left out untaught by the teacher. However, though these parts that are skipped do not come in the exam they are important for understanding the other parts of the syllabus. This is enough to cripple the students' understanding of the material. The teachers teach the students some tricks and mechanical drills that allow them to automatically solve exams without understanding.
Tests will be driving standards and curricula in the near future. This is why special attention should be given in how to design tests. In other words, there should be precise definitions of the concrete objectives of the subject and how to quantify the measure of success.
This problem has two sides. One side is the tests and this side is the dominant side due to pressures on schools to have good scores. The second side is the teachers. To drive the teachers to really get the students to understand rather than do mechanical work the exams should be designed to filter the students' capabilities.
The test should be composed of several sections that cover all the different parts of the syllabus. Each section should contain questions that reflect the students' abilities in using the different techniques taught. The student should know which technique suitable for which problem. The section should contain problems that examine the students' abilities in using mathematics in solving real life problems. After all how good is mathematics if one does not know how to apply it to real life.
Part of the exam should be a project on an application of mathematics in real life. The student should use his earned mathematics skills to solve some real life problem in a project. The project should have two supervisors, one supervisor from the student's school and one supervisor from another school. The students should be exposed to the many innovative software calculators that they can use to complete their projects.
When exams reflect the true abilities of students mathematics teachers would not concentrate on how to beat the system and would concentrate on developing the students' abilities in the subject.
The school administration should help in this by giving teachers strong support by letting them attend training classes in mathematics and teaching psychology.
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