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Russian children work with Maple - view

http://geodromchik.blogspot.ru

//sites.google.com/site/geodromchic

POSSIBILITIES OF USING OF COMPUTER IN MATHEMATICS

AND OTHER APPLICATIONS IN INCLUSIVE EDUCATION

 

Alsu Gibadullina, math teacher

Secondary and high school # 57, Kazan, Russia

 

In recent years Russia actively promoted and implemented the so-called inclusive education (IE). According to the materials of Alliance of human rights organizations “Save the children”: "Inclusive or included education is the term used to describe the process of teaching children with special needs in General (mass) schools. In the base of inclusive education is the ideology that ensures equal treatment for everybody, but creates special conditions for children with special educational needs. Experience shows that any of the rigid educational system some part of the children is eliminated because the system is not ready to meet the individual needs of these children in education. This ratio is 15 % of the total number of children in schools and so retired children become separated and excluded from the overall system. You need to understand that children do not fail but the system excludes children. Inclusive approaches can support such children in learning and achieving success. Inclusive education seeks to develop a methodology that recognizes that all children have different learning needs tries to develop a more flexible approach to teaching. If teaching and learning will become more effective as a result of the changes that introduces Inclusive Education, all children will win (not only children with special needs)."

There are many examples of schools that have developed their strategy implementation of IE, published many theoretical and practical benefits of inclusion today. All of them have common, immaterial character. There is no description of specific techniques implementing the principles of IO in the teaching of certain disciplines, particularly mathematics. In this paper we propose a methodology that can be successfully used as in “mathematical education for everyone", also for the development of scientific creativity of children at all age levels of the school in any discipline.

According to the author, one of the most effective methodological tools for education is a computer mathematics (SCM, SSM). Despite the fact that the SCM were created for solving problems of higher mathematics, their ability can successfully implement them in the school system. This opinion is confirmed by more than 10–year-old author's experience of using the package Maple in teaching mathematics. At first it was just learning the system and primitive using its. Then author’s interactive demonstrations, e-books, programs of analytical testing were created by the tools packages. The experience of using the system Maple in teaching inevitably led to the necessity to teach children to work with it. At first worked a club who has studied  the principles of the package’s work, which eventually turned into a research laboratory for the use of computer technology. Later on its basis there was created the scientific student society (SSS) “GEODROMhic" which operates to this day. The main idea and the ultimate goal of SSS – individual research activities on their interests with the creation of the author electronic scientific journals through the use of computer mathematics Maple. The field of application of the package was very diverse: from mathematics to psychology and cultural phenomena. SSS’s activity is very high: they are constantly and successfully participate in intellectual high-level activities (up to international). Obviously, not every SSS’s member reaches high end result. However, even basic experience in scientific analysis, modeling, intelligent  using of the computer teaches the critical thinking skills, evokes interest to new knowledge, allows you to experience their practical value, gives rise to the development of creative abilities. As a result, the research activity improves intellectual culture, self-esteem and confidence, resistance to external negative influence. It should be noted, however, that members of the scientific societies are not largely the so-called "gifted", than ordinary teenagers with different level of intellectual development and mathematical training. With all this especially valuable is that the student is dealing with mathematical signs and mathematical models, which contributes to the development of mathematical thinking.

From 2007 to 2012. our school (№. 57 of Kazan) was the experimental platform of the Republican study SKM (Maple) and other application software in the system of school mathematical education under the scientific management of Professor Yu. G. Ignatyev of Kazan state University (KF(P)U).

Practical adaptation of computer mathematics and other useful information technologies to the educational process of secondary schools passed and continues to work in the following areas:

  1. The creation of a demonstration support of different types of the lessons;
  2. The embedding of computing to the structure of practical trainings;
  3. In the form of additional courses - studying of computer applications through which you can conduct a research of the mathematical model and create animated presentation videos, web-pages, auto-run menu;
  4. Students’ working on individual creative projects:
  • construction of computer mathematical models;
  • creating author's programs with elements of scientific researches;
  • students create interactive computer-based tutorials;
  • creation of an electronic library of creative projects;
  1. The participation of students  in the annual competitions and scientific conferences for students;
  2. The accumulation and dissemination of new methodological experience.

Traditionally, the training system has the structure: explanation of a new →  the solution of tasks→ check, self-test and control → planning of the new unit  with using analysis. However, the main task types: 1) elementary, 2) basic, 3) combined, 4) integrated, 5) custom. With the increasing the level of training a number of basic tasks are growing and some integrated tasks become a class of basic. Thus, the library for basic operations is generated. The decision of the educational task occurs on the way of mastering the theoretical knowledge of mathematical modeling: 1) analysis of conditions (and construction drawing), 2) the search for methods of solution, 3) computation, 4) the researching.

To introduce computer mathematics in this training system, you can:

  • At demonstrations. For example, with Maplе facilities you can create a step-by-step interactive and animated images, which are essentially the exact graphic interpretation of mathematical models.
  • If we have centralized collective control.
  • If students have individual self-control.
  • In the analysis of the conditions of the problem, for the construction and visualization of its model, the study of this model.
  • In the computations.
  • In practical training of different forms.
  • In individual projects with elements of research.

In the learning process with the use of computer mathematics in the school a library of themed demonstrations, tasks of different levels and purpose, programs, analytical testing, research projects is generated. With all this especially valuable is that the student is dealing with mathematical signs and mathematical models. Addiction to them processed in the course of working with them it’s unobtrusive, naturally, organically.

Mathematical modelling (MM) is increasingly becoming an important component of scientific research. Today's powerful engineering tools allow to carry out numerous computer experiments, deep and full enough of exploring the object, without significant cost painless. Thus provided the advantages of theoretical approach, and experiment. The integration of information technology and      MM method is effective, safe and economical. This explains its wide distribution and makes unavoidable component of scientific and technical progress.

Modeling is a natural process for people, it is present in any activity. The introduction with nature by man occurs through constant  modeling of situation, comparing with the basic models and past experience by them. Method for modeling, abstraction as a method of understanding the world is therefore  an effective method of learning. Training activities associated with the creative transformation of the subject. The main feature of educational training activities is the systematic solution of the educational problems. The connection of the principles of developmental education, mathematical modeling, neurophysiological mechanisms of the brain and experience with Maple leads to the following conclusions: the method of mathematical modeling is not only scientific research but also the way of development of thinking in general; computer and mathematical environment (Maple), which is a powerful tool for scientific simulation can be considered as the elementary analogue of the brain. These qualities of computer mathematics led to the idea of using it not only as an effective methodological tool but as a means of nurturing the thinking and development of mental functions of the brain. To study this effect the school psychologist conducted a test, which confirm the observations: the dynamics of intellectual options students  who working with Maple compares favorably with peers. In the process of doing computer math, in particular Maple, are involved in complex different mental functions. It is in the inclusion of all mental functions is the essence of integration of learning, its educational character. And this, in turn, contributes to the solution of moral problems.

Long-term work with computer mathematics led to the idea to use it as a tool for psychological testing. One of the projects focuses on the psychology and contains authors Maple–tests to identify the degree of development of different mental functions. Interactive mathematical environment  gives a wide variability and creative testing capabilities. Moreover, Maple–test can be used not only as diagnostic but also as educational, and corrective. This technology was tested in one of psycho neurological dispensaries a few years ago.

Currently, one of the author's students, the so-called "homeworkers", the second year is a young man with a diagnosis, categories F20, who does not speak and does not write independently. It was         impossible to get feedback from him and have basic training until then author have begun to apply computer-based tools, including system Maple. Working with the computer tests and mathematical objects helps to see not only the mental and even the simplest thinking movement, but also emotional movement!

In general, the effectiveness of the implementation in the structure of educational process of secondary school of new organizational forms of the use of computers, based on the application of the symbolic mathematics package Maple, computer modeling and information technology, has many aspects, here are some of them:

  • goals of education and math in particular;
  • additional education;
  • methodical and professional opportunities;
  • theoretical education;
  • modeling;
  • scientific creativity;
  • logical language;
  • spatial thinking, the development of the imagination;
  • programming skills;
  • the specificity of technical translation;
  • differentiation and individualization of educational process;
  • prospective teaching, the continuity of higher and secondary mathematics education;
  • development of creative abilities, research skills;
  • analytical thinking;
  • mathematical thinking;
  • mental diagnosis;
  • mental correction.

       According to the author, the unique experience of the Kazan 57–th school suggests that computer mathematics (Maple) is the most effective also universal tool of new methods of inclusion. In recent decades, there are more children with a specific behavior, with a specific perception, not able to focus, with a poor memory, poor thinking processes. There are children, emotionally and intellectually healthy, or even ahead of their peers in one team together with them. High school should provide all the common core learning standards. It needed a variety of programs and techniques, as well as specialists who use them. Due to its remarkable features, computer mathematics, in particular Maple, can be used or be the basis of the variation of methods of physico-mathematical disciplines of inclusive education.

Most of the tags in this question example are rediculous "the, you, is, and, help, how," etc... .  I tried editing them but I cannot save tags to remove junk tags.  Above all, the most important tag to the question Poincare is not there.  This specific issue is for the recent question  http://mapleprimes.com/questions/207460-Poincare-Section

 

 

As some of you have previously mentioned, we have seen an increase in the amount of spam on MaplePrimes over the past few months. We recently took steps to improve it in a recent update that has so far proven helpful, and have also increased our behind-the-scenes efforts to proactively remove and block spam accounts.

Today we made a couple of additional minor changes to member profiles that should help further. Specifically, members can no longer enter HTML tags in the biography, 'technical interests/fields', and 'other interests' sections within their profiles. Spammers were co-opting these areas to create links back to their sites, and it is our hope that MaplePrimes will become much less attractive to them now that the capability has been removed.

In addition, we de-activated a large number of accounts (with 0 reputation) that were using these fields for spam. Prior to taking this action, we reviewed the records we were deactivating, and did not see any evidence of legitimate members. However, there is a small chance that we blocked a legitimate account in the process of doing this. If this has occurred to you, please accept my apologies and send an e-mail to custservice@maplesoft.com and we will reactivate it quickly.

 

I hope that in the future if mapleprimes ever does another overhaul that it does NOT do what has recently been done at the mathematica forum I just came across. http://community.wolfram.com/groups/-/m/t/744097?p_p_auth=AfGyGp7X

Mapleprimes has endured a forum change from primes1 to primes2(current forum) and all posts/questions have for the most part remained intact, and have been repaired or fixed by the developers if pointed out .. thumbs up for Maplesoft and Mapleprimes developers for retaining all forum data.  Most posts that didn't have a home were simply relocated, but are still accessible.

In the case for mathematica, a whole student forum was removed and is being scrutinized, and decided by mathematica developers whether or not the post should be put back into the forum (currently none of the posts have been restored).  I would think that would be most dissappointing from any user standpoint. 

Off to the right of mapleprimes we have Recent Questions/Maplesoft Blog Posts/Recent Posts and Active Conversations.

I propose to have the category Workarounds added. 

 

There are two instances I can think of that would be beneficial for Maple users that would belong here.  The most recent one http://www.mapleprimes.com/posts/201844-Possible-Bug-In-Maple- and one regarding issues adding the dissipative term to the heat equations http://www.mapleprimes.com/questions/97391-Whats-Wrong-With-Maple-Solution

Users of older versions of Maple or even current Maple versions not yet updated would find this quite useful. 

 

There are some great comments and replies by users that are worth upvoting.   Also choosing as best answer to some posts that were converted from questions would also be helpful here at mapleprimes.

Mapleprimes should have an option to sort Mapleprimes by the date of the original poster.

Why hasn't mapleprimes yet been able to solve the spam problem.  There was never this long a problem with Mapleprimes 1, every morning I find spam for the last few weeks. 

Also the timing still has yet to be fixed.  After 1 hour the times for when a post was made goes back to 0 minutes ago.

 

 

Earlier this morning, we published an update to MaplePrimes that includes two new features as well as some significant efficiency improvements. Highlights of this update include:

Best Answer

Of all the feature requests that we receive, this has been the most popular, and we're excited to see how it is used! Simply, this new capability allows a member to select the 'best answer' from a list of many. This best answer, selected by clicking on a new trophy icon, will always always appear at the top of the list of answers.

Having your answer selected as 'best' will reward you with 7 reputation points, as well as make you eligible to receive one of two new badges to show off your question-answering prowess!

Tag Management

Improving how tags are managed within MaplePrimes has been another long time request from members, and we have made some significant improvements. The first thing that many will notice is that the interface for adding tags to a post or question is now easier to use and (hopefully) faster.

More importantly, however, are the new management features. For starters, only members with a reputation of at least 100 can add brand new tags. If your reputation is less than 100, you can only select from the extensive list of pre-existing keywords. In addition, members with a reputation of at least 50 can now manage tags for existing content by clicking on the new 'Manage Tags' button. It is our hope that this feature will help increase the value of tagging within MaplePrimes by optimizing the commonly-used keywords, and we encourage everyone to take advantage of this new capability!

Efficiency and Stability Improvements

You should notice significant speed increases across all pages within MaplePrimes. On average, page load times have sped up by a factor of 2x, and many times higher in some cases. In addition, interface changes and optimizations have dramatically reduced the file size of many pages, which will make them more responsive in general.

 

As always, thank you for making MaplePrimes the amazing community that it is! We are hopeful that you will enjoy these improvements, and we look forward to your comments and suggestions.

Looks like mapleprimes was just updated.  I'm finding links broken and pictures missing.

The search operation on both questions and posts doesn't work. I get the same set of results for both, and the same results regardless of the search term.

When I login and then create a question or post and click submit (or preview), I get a new request to login, and, after I do that login, the originally entered message body has been erased.

Dear Bryon and Will:

Please fix MaplePrimes so that the Replies to Answers to Questions appear in chronological order under their respective Answers. Currently they appear in a somewhat random and changing order when their are several Replies. This has been a problem since the last "upgrade" to MaplePrimes.

Another persistent problem since that upgrade is that about half of the time that someone tries to attach a file, the file does not actually attach, even though the editor gives every indication that it has attached, and a hyperlink even appears in the post.

People are starting to leave MaplePrimes because of these problems.

Thank you for your attention to these matters,
Carl Love

Dear friends. 

This is to alert you to a minor problem with your website. I use a variety of operating systems and browsers to access your site. With Firefox 22 and Firefox 26 and OpenSuse 12.2 when I click on a question with a lot of commentary like "Perl vs. Maple (MPF)" from a couple of days ago or "collect x/2-y/2 1/2" the question appears to load for a while but then an empty page appears, containing only the string "2014" and nothing else. Maybe you want to look into this.

Best regards,

Marko Riedel

 

There are still several bugs resulting from the MaplePrimes update last week which you may not be aware of.

  1. The list "All Recent Posts & Questions" is not in the correct order. It is ordered by the time of creation of the Post or Question. It should be ordered by the time of the most recent update to the thread. In other words, the top seven entries in "All Recent Post & Questions" should be the seven entries of "Active Conversations".
  2. Email notifications do not always contain a hyperlink to the relevant post. (I could send you some examples if you need.)
  3. In the list of Answers in a user's profile, the votes for the Answers are not shown for those Answers created after the update.
  4. There are no longer automatically generated titles for Replies for which the author fails to enter a title. This taken alone may be a good idea, but it contributes to bug (2) above. Also, it makes it impossible to send a "Contact Author" email relating to the Reply---when you click send on the email, it will be rejected, even if you tried to add a title.
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