Lograr unas bases sólidas en matemáticas será un gran respaldo en las actividades cotidianas, un apoyo para el aprendizaje de otras ciencias y una motivación para aquellas personas que deseen explorar las matemáticas a su más alto nivel.
La Instituciones educativas tienen el desafío de poner esas bases sólidas a través del desarrollo de las habilidades de pensamiento. En este sentido, George Polya afirma:
Primero y ante todo, se debe enseñar a los jóvenes a PENSAR.
ON LEARNING, TEACHING, AND LEANING TEACHING, 1963
‘Enseñar a pensar’ significa, según Polya:
- desarrollar la capacidad de los estudiantes para usar la información;
- poner énfasis en el saber cómo, en las actitudes útiles, en los hábitos mentales deseables.
Se trata de trabajar un pensamiento con propósito y este tipo de pensamiento está relacionado con la resolución de problemas. Por lo tanto,
uno de los objetivos principales del plan de estudios de matemáticas es desarrollar la capacidad del alumno para resolver problemas.
George Polya, ON LEARNING, TEACHING, AND LEANING TEACHING, 1963
El desarrollo de la capacidad para resolver problemas es, en Singapur, desde el año 1992, el objetivo principal en la enseñanza de las matemáticas. Sus estudiantes llegan a resolver problemas matemáticos de rutina y también los novedosos, cuya solución no es inmediata.
Desarrollo del Pensamiento Matemático y la Resolución de Problemas
El Plan de estudios de Singapur resalta el valor de las matemáticas como un medio para el desarrollo del pensamiento:
Las matemáticas son un excelente vehículo para el desarrollo y la mejora de la competencia intelectual de una persona en razonamiento lógico, visualización espacial, análisis y pensamiento abstracto.
Mathematics Syllabus Primary, 2007
Por lo tanto, la educación matemática, según el profesor Akihiko Takahashi, debe permitir a los estudiantes la adquisición de conocimientos y habilidades, pero además, debe fomentar el pensamiento matemático.
El desarrollo del Pensamiento Matemático es fundamental y al igual que los conocimientos y habilidades, se desarrolla a través de la participación activa de los estudiantes en las actividades matemáticas.
Las actividades matemáticas
Las actividades matemáticas, resaltadas por el profesor Takahashi, son según el National Council of Teachers of Mathematics:
- resolución de problemas
- razonamiento y prueba
- comunicación
- conexión y representación
Una de las actividades matemáticas a trabajar es la Resolución de problemas y al hacerlo, nos involucramos en el proceso del pensamiento matemático.
Cuando nos enfrentamos a una situación que puede ser novedosa, entra en juego el pensamiento matemático a través de “la orquestación de habilidades, conceptos y procesos matemáticos” que permiten manejar dicha situación. (Mathematics Syllabus Primary, 2007 )
El profesor Yeap Ban Har caracteriza el pensamiento matemático como
una yuxtaposición de competencias matemáticas y competencias genéricas cuando los alumnos manejan una situación matemática como la resolución de problemas matemáticos.
Yeap Ban Har, DEVELOPING MATHEMATICAL THINKING IN SINGAPORE ELEMENTARY SCHOOLS.
Finalmente, podemos afirmar que La Resolución de problemas es el entorno privilegiado para poner en juego las habilidades, conceptos y procesos matemáticos, y a la vez, lograr el desarrollo del Pensamiento matemático.
¿Tiene interés en este tópico de la resolución de problemas? Aproveche las Lecciones online que hemos preparado con el objetivo de comprender y aplicar el Modelo de George Polya.
Preguntas
¿Qué opinión tiene respecto a la resolución de problemas en matemáticas? ¿Lo ve fundamental? ¿Cree que las prácticas educativas desarrollan el pensamiento matemático?
Le invito a dejar su comentario.
I have been browsing online more than three hours today, yet I never found any
interesting article like yours. It is pretty worth
enough for me. Personally, if all webmasters and bloggers made good
content as you did, the internet will be a
lot more useful than ever before.
buy delta 8 THC area 52 – buy delta 8 THC area 52
buy delta 8 THC area 52 – delta 8 area 52
buy delta 8 THC area 52 – delta 8 area 52
Area 52 Delta 8 THC – delta 8 carts Area 52
Area 52 delta 8 carts – delta 8 carts Area 52
Thank you very much for your words.
It’s going to be finish of mine day, but before end I am reading this
fantastic article to increase my knowledge.
delta 8 THC area 52 – delta 8 THC area 52
delta 8 THC area 52 – delta 8 carts Area 52
delta 8 THC area 52 – delta 8 carts Area 52
area 52 delta 8 THC products – delta 8 THC area 52
Area 52 delta 8 carts – area 52 delta 8 THC products
It’s very nice!
It’s going to be finish of mine day, except before ending I
am reading this enormous paragraph to increase my
know-how.
I love it when folks get together and share ideas. Great website,
keep it up!
I’m very pleased to uncover this website. I want to to thank you for ones time just for this
fantastic read!! I definitely really liked every little bit of it and
i also have you saved as a favorite to see new information on your blog.
Thankfulness to my father who told me about this web site,
this blog is truly remarkable.
Thank you!
I constantly emailed this webpage post page to all
my associates, as if like to read it after that my friends will too.
Thank you for sharing this page.
Wonderful post but I was wondering if you could write a litte more
on this topic? I’d be very thankful if you could elaborate
a little bit more. Kudos!
Thanks for your appreciation. With pleasure. I hope, very soon, to continue writing.
You really make it appear so easy together with your presentation however I find this topic to be actually one thing that I feel I would never understand. It seems too complicated and very vast for me. I’m looking ahead on your subsequent post, I¦ll try to get the cling of it!
Thanks for your appreciation. I am sure you will understand it!
I’m really enjoying the theme/design of your website. Do you ever run into any browser compatibility problems? A number of my blog readers have complained about my site not working correctly in Explorer but looks great in Firefox. Do you have any recommendations to help fix this issue?
Thanks for your appreciation. I have not been reported compatibility problems with any browser.
I think compatibility has to do with the features of the Theme you are using.
I like this internet site because so much useful stuff on here : D.
Thank you!
I?¦ve read several excellent stuff here. Certainly worth bookmarking for revisiting. I wonder how much effort you put to make one of these excellent informative site.
I thank you for your appreciation.
You made some nice points there. I did a search on the subject and found most individuals will agree with your site.
Thanks for your appreciation!
Write more, thats all I have to say. Literally, it seems as though you relied on the video to make your point. You definitely know what youre talking about, why waste your intelligence on just posting videos to your weblog when you could be giving us something informative to read?
I thank you for your appreciation.
I have read so many posts about the blogger lovers however this post is really a good piece of writing, keep it up
I thank you for your words.
I needed to thank you for this excellent read!! I definitely loved every little bit of it. Ive got you bookmarked to check out new things you postÖ
I am glad that the text has been to your liking.
Only wanna state that this is handy, Thanks for taking your time to write this.
I’m glad it was helpful.
Thank you for your appreciation and suggestion.
Thanks for a great information. Please visit our web :
Haekal
Haekal
haekal
Thanks for your visit.
I conceive this site contains some real excellent info for everyone :D. “The test of every religious, political, or educational system is the man that it forms.” by Henri Frdric Amiel.
Thanks for your appreciation.
It’s a pity you don’t have a donate button! I’d most certainly donate to this superb blog! I suppose for now i’ll settle for book-marking and adding your RSS feed to my Google account. I look forward to new updates and will share this blog with my Facebook group. Talk soon!
I am glad that the content of the Blog has been relevant to you; this encourages me to keep going.
I especially appreciate your desire to donate to this Blog.
Good post. I learn something totally new and challenging on blogs I stumbleupon on a daily basis. Its always useful to read content from other authors and practice something from their websites.
I am an investor of gate io, I have consulted a lot of information, I hope to upgrade my investment strategy with a new model. Your article creation ideas have given me a lot of inspiration, but I still have some doubts. I wonder if you can help me? Thanks.
The point of view of your article has taught me a lot, and I already know how to improve the paper on gate.oi, thank you. https://www.gate.io/zh/signup/XwNAU
Thanks for sharing useful information
With great pleasure. In what is within the reach of my possibilities I will collaborate. Of course!
With great pleasure. In what is within the reach of my possibilities I will collaborate. Of course!
Nice post. I learn something totally new and challenging on websites
Thanks for sharing. I read many of your blog posts, cool, your blog is very good. https://accounts.binance.com/ph/register-person?ref=P9L9FQKY