Geometric World

Many times, as primary math teachers, when we explain new concepts to our students such as fractions, combined operations, surfaces, or volumes we see in them faces "this is a mess", "I do not understand", "this is very abstract "... When we explain new concepts that we consider "easy" to understand, we must put ourselves in the shoes of children ages 6 to 12, adapting our explanations and our activities to their level and their language. For example when explaining the concept of fraction to students in 4th grade of Primary Education you can start by explaining that a fraction are the equal parts that we take or leave the unit, but with that certainly not understood by 95% of the class . That is why making a simple drawing is infinitely simpler for the students to understand the conception of fraction. Visual thinking is a tool that helps us to express ideas through simple drawings with the aim of understanding them better, finding soluti...

I often think that today there are not so many geniuses that before there were people who could not live without questioning thousands of things, without motivations to do something new ... but I think this should be the other way around, today we have a lot of resources For any field, we have many scientific advances that allow us to do fascinating things, but it seems that all that does not matter, very few seem to show the interest they deserve these things. I have always thought that everyone has a seed that if it’s watered properly always flourishes properly, so according to my theory the problem should be in those who water. So we have to change the irrigation system so that not only some flowers bloom, but for all to do so. You live better in a place with many flowers than if there was only land... For this reason, I had to think of something that appeals to all the children of the world and after thinking a short time I came to the conclusion that it is nothing more than...

I have always thought that the students of compulsory education do not need to learn all the mathematical formulas of calculations and problems that are very far removed from the vast majority of the day, they do not need to be bored with things that they probably never use again or something You will forget them after the exam; I think it is much more beneficial for everyone to equip them with training tools that will serve them for life. These tools I am talking about have to help them develop different areas of the brain that are usually taken into account in the traditional teaching system and now we have to start questioning how to solve those gaps in the system. There comes the theme that I want to talk about: chess. There are a lot of games, activities or techniques that can help the young people of the world in a much more interactive way. This game presents advantages in all ages because it combines characteristics that favour the development of mental abilities. Ches...

In an earlier post I talked about the importance of introducing new technologies in primary education so I will not stop to repeat the great benefits they have. This time I was thinking of one of the facets that it is harder to develop in many children, which is the spatial vision. There are students who have a great ability to "dislodge" figures in their mind, but there are others who find it impossible and tend to give up because they do not find any motivation or usually receive another option when it comes to learning. The only alternative technique I have seen in schools is the classic photocopy in which we can see a decomposed figure and we can cut it to see it in 3D, but this system has several drawbacks: it takes a lot of paper or cardboard, it takes a lot In making a single figure when they need to know many, the end result usually breaks quickly and is not useful when working the most theoretical exercises... That is why I think we have to provide an educatio...

I have to say that I did not know this program until now thanks to the subject of didactics of geometry and that at first I did not think it was a very useful program, but after learning how the program basically works, I have seen the infinite possibilities that both To teachers as students. This free program is becoming a revolutionary tool in teaching and learning math. GeoGebra allows us to make dynamic constructions, easily exportable to web applications, in which we can manipulate expressions (geometric, numerical, algebraic or tabular) and observe the nature of relations and mathematical properties from the variations produced by our own actions. If we want to be good teachers we have to adapt to our students, who coexist with new technologies from a very young age, so they always tend to keep a positive relationship with technological devices which we have to take advantage of to make the most of both motivation Of students and make the most of them. What I like most ...

I think it is very important to change the students' conception of mathematics, in this case, more specifically, of geometry. In the first post of the blog spoke for example about the geometric art that Muslims did hundreds of years ago, which I think is fascinating and can motivate students a lot and gives us the opportunity to relate this subject to art by means of the realization of geometric mosaics, but in this case students could continue to see it as a "human invention" that escapes their understanding or that they have no value for their lives, so in this post I would like to teach children that geometry is not something that belongs only to humans. First I would try to ask them about several things to see if they ever think they have seen geometry outside of school, to see if any of the ideas come up. In addition it is always good to take into account the previous ideas of the students to have a starting point for meaningful learning. From there I wou...

It seems that touching, building and playing with tangible elements is not a serious thing. Thus, one who wants to learn mathematics (or, better, to pass mathematics) has to be a person touched with the mathematical gene and with a great disposition to assimilate names, properties and algorithms. Recipes and more recipes. However, there are many mathematicians and pedagogues who have emphasized the need to learn by doing, manipulating and playing. They allow reflection on mathematical concepts and properties. This reflection is the basis for constructing one's own mathematical ideas. They recreate different situations that in a textbook are presented in a static and limited way which produces not few mistakes and gaps in the boys. They promote interest in the subject and collaborate to banish the typical image of an inert and boring subject. They produce enthusiasm and enthusiasm for mathematics. They are often activities that they feel like doing and teaching others. ...

We live in a world surrounded by technology and the students we have in the future will have been born submerged in this age where we can not understand the world without a computer or a mobile phone. As teachers we have to reflect what is happening in society when it comes to teaching our students as it is the only way to prepare them for life. Taking these facts into account, I think it would be illogical not to take advantage of the tools offered by the computers, mobiles, Internet ... So it would be ideal to use these resources with many different objectives. The main objective that I would have would be to compensate for the greater deficit that mathematics has in the centers of our country: MOTIVATION. We all know that students find it much more attractive than being listened to the teacher while he explains on the board and then they all do exercise 1, 2 and 3 of the textbook. So if we overcome that barrier and we managed to find the applications needed to understand th...

As I said in the previous post, we have to end the traditional practices that are carried out in the school, since these do not have positive results for all the students. I do not want my students to practice what I teach them following step by step the instructions of the book and doing the activities of the same, since from my experience I can say that in that way only learn to solve such exercises, since when We want to apply it in a closer area are not able. Therefore, once you have shown the different basic geometric figures in an interactive way and after having all your doubts, I would show you the following video: In this video you will have discovered that geometry is fully integrated in our world, so from there we would dedicate ourselves to discover among all the different geometric figures that we can find around the school so that the students continue observing and learning. In cases where we want them to look at a particular figure, the most correct thin...

Mathematics and geometry have always been one of the subjects that less sympathy has aroused among the students of the world's schools and I believe that almost everyone will agree with what I say. Now, this will have some explanation, since it is not normal for so many students to agree on their difficulties in learning this subject or what little they like. After some time reflecting on this fact I came to the conclusion that the main culprit of this failure is the traditional teaching system that continues perpetuating generation after generation. It is the same educational system that has caused thousands of young people to lose interest in a subject ... in various subjects ... in all subjects, causing them to abandon their studies. That is why it is in our hands, that of the future teachers, to change this obsolete system and to make the students come back to enjoy in class and, in addition, to know that they work with things they will need throughout their lives. ...