RESOURCES FOR YOUR MATHS CLASS






GATHERING DATA WORLDWIDE


Arancha Acebes shares this page which gathers data all over the world, 
directly from Government's communication channels or indirectly, through local media sources when deemed reliable: https://www.worldometers.info/

They provide the source of each data update in the "Latest Updates" (News) section. Very useful for our classes


ALGEBRA USING TILES




Algebra is a hard topic for beginners.


Algebra tiles are a manipulative material that helps students to understand this topic because it´s very visual. It´s a good way to introduce this topic.
Or you can use this webpage: https://mathsbot.com/manipulatives/tiles

You can make your own tiles as you can see on this video:




ONLINE TEACHING AND LEARNING

Miriam Hernando shares about online teaching: two helpful and meaningful 
infographics.











https://www.educarex.es/pub/cont/com/0064/documentos/10_consejos_clasesencasa.pdf

I strongly recommend  David Ruiz's blog http://www.elblogdelsrruiz.com/ with many tools organized according to your needs and briefly and wonderfully explained: 




Arancha Acebes recommends you this webpage: https://www.brainpop.com/

It includes videos with subtitles at different speeds, movie transcript, quizzes, vocabulary, worksheets, etc
You can login to this service for free. Very useful ofr your Maths lessons.


Real-world lessons from Mathalicious help middle and high school teachers address the Common Core Standards while challenging their students to think critically about the world.

Finally. Math class is awesome. (>145 lessons)



GEOMETRY


Sources provided by Arancha Acebes.
Origami is a great way to apply geometry concepts in your lessons.

As an introduction you can watch this video that tells how origami could be used in NASA projects. It has English subtitles.




To put in practice what your students will learn about 3D shapes, they can build any of the calendars that you can find in this web page

Mathematics in Movies



Resource provided by Arancha Aceves: http://people.math.harvard.edu/~knill/mathmovies/
This webpage has   with a collection of movie clips in which Maths appears.

In this page you can find many other links related to Maths which you may find interesting:

Links

Here are some references and links to other collections.


TEACHER WELLBEING
Buenos días
Comparto estos recursos de  teachitenglish.co.uk en estos últimos días de curso. 
Nuestro bienestar como profesores es fundamental para una escuela saludable y para la salud mental de los alumnos.
This is a summary and a sample, but you have the whote document uploaded: 

10 golden rules of mental health wellbeing

Andy Sammons, Head of Department and author of 'The Compassionate Teacher' @compassionteach, shares 10 rules you should follow to help you handle the demands of teacher workload and limit your chances of reaching burnout.


Paying attention to your mental health

By the time I worked it out, it was too late. It took about six months, but by the time depression descended on me, there was no going back. Even now, feeling better about life, I look back on that time in horror – horror at the place I went to mentally, and horror at what I put my family through.
Two things are clear to me now. Firstly, although humans are remarkable, our brains are faulty in the sense that unless we pay attention to them, there will be payback in terms of mental health. Secondly, notwithstanding this, our current educational context makes teachers extremely vulnerable to mental health issues.
The way I see it, anxiety and depression are two sides of the same coin – one fuels the other. Once you get your head around that relationship, you can begin to understand and be wary about the warning signs. Anxiety is an evolutionary mechanism designed to help us stay out of danger; the only problem is that problems we now perceive in the modern day are of a different nature to those we evolved to survive.
The physiological consequences for too much anxiety and stress are long term. Over a long period of time, too much of it leads us to feel differently about the world, and there is an evolutionary basis for depression too.
During the six months I allude to above, on reflection, there were some fairly recognisable symptoms. And when I map it onto the types of things one might do to keep going and survive, I did something foolish: I turned from a human being into a human doing. In other words, I chased the tick-list. I chased the completion of tasks. I chased getting to the end of a workload that was an impossibility.

How I became a human doing

How did this manifest at home? Anything related to being a human became an inconvenience. I stopped watching my nutrition. I stopped talking with my wife. And I stopped spending time with my family. When my little boy cried in the night, my stomach would lurch and send me into a panic because I’d be terrified of not getting my work done the next day. The thought of spending time with my family became terrifying, not an escape or a welcome distraction. There was simply no escape from my newly crafted mental hell.
All the while, I ramped up the pressure on myself to keep on top of the fight I’d never win. My sleep deteriorated – I’d wake up during the night five or six times to check my ‘to do’ list. Slowly, cracks appeared at work, and I couldn’t keep up. An email could send my heart racing, or a student falling behind would induce me to a breathless panic. Effectively, my brain lost the ability to truly distinguish between credible threats and the things less worth panicking about.
The key? Sweat the small stuff. Notice your emotions, their triggers, and what you can put in place to alleviate the strains.
The resource below includes ten actions you can put in place right now. This resource accompanies Andy's article: 'Anxiety and depression, the terrible twins: what they are and how to spot them'.

Example golden rule

5. Be you. Remember, you are you, and not just a teacher. Give yourself the time and space to be that person outside of the building – the key is to create the space to ‘decompress’ and experience life outside of the cauldron. Having experienced it myself, staying in the cauldron only makes things worse.

Take care of yourselves.





How important is language in our roles bilingual teachers? 

This article reflects about the importance of methodology.

https://elpais.com/economia/2019/03/19/actualidad/1553009040_676051.amp.html?__twitter_impression=true


A Day in the Life Aboard the International Space Station

Have you ever wondered what it would be like to live and work in space? Follow astronauts on the International Space Station in a series of videos as they explain their daily routines.

Educators can use this series of videos and resources to enhance K-12 science, technology, engineering and mathematics curricula.

https://www.nasa.gov/audience/foreducators/stem-on-station/lessons

What resource among the ones offered in this page do you think would be useful for your class?






This video from Dr Yeap Ban Har explains how  Bar Modelling works for solving problems.
This is a very useful tool used in Singapore Maths especially in Primary Schools, but  it can be applied in our Secondary classes to allow students both,  represent and understand, a problem where there is an unknown number they have to find out.  Without using Algebra!




Singapore Math is one method that has become successful in achieving the goals in Mathematics. This method teaches fewer topics but each topic will be taught in greater depth.There are three key elements to the Singapore Math Method: Number Sense, Model Drawing and Mental Math .
Singapore has become a ¿laboratory of maths teaching¿ by incorporating established international research into a highly effective teaching approach, with its emphasis on teaching pupils to solve problems.

More info:







The Khan Academy is a non-profit educational organization that provides free video tutorials and interactive exercises. The Academy’s declared mission is “changing education for the better by providing a free world-class education to anyone anywhere.” 

The lessons were conceived primarily for distance learning but are also suitable for use in the classroom. The tutorials are informal in style and organized for building knowledge one concept or lesson at a time. Many lessons are delivered as electronic blackboard talks by someone with an apparent enthusiasm for the topic.

Khan Academy website users can maintain records of their progress. Through the website, teachers can also monitor the progress of students who are using the site. In pilot experiments, schools are using a concept called “flipping the classroom,” which involves students watching the Khan Academy lectures at home and then using classroom time for exercise and testing. In this model, the teacher’s role is changed from lecturer to tutor and progress monitor.
Salman Khan, a hedge fund manager, created the first video to help his young cousin with her math. Khan, who has three degrees from MIT and an MBA from Harvard, found he was able to create short, informal lessons very quickly (he used Yahoo’s Doodle notepad).

https://youtu.be/fJFKE8kyz7w

Bill Gates discovered the site as a source of learning for his son and began to offer the financial support of his charitable foundation. Today, supported further with contributions  the Khan Academy has a dedicated professional staff headed by the founder and a growing number of volunteers who lend their expertise to create lessons in new subject areas.

As of 2015, the Academy offered over  learning content for over 5,000 subjects -- a great many on mathematics and the sciences but also including, for example, economics and art history. According to the Khan Academy’s website, it has delivered over 132,909,653 lessons.

The Khan Academy is part of an ongoing trend to making educational resources freely available online for users all over the world. Related resources include MIT's OpenCourseWare (OCW) and various massively open online courses (MOOC).

Adapted from: https://whatis.techtarget.com/definition/Khan-Academy
Pi-Day: 14th March to celebrate Einstein's birthday. 


This video is very beautiful and tells us a lot of interesting things about Pi.
In this link you can find ideas to do it (don't miss the references at the bottom of the page).






Quite often, while  looking for resources in the web or browsing through bibliography you can get confused by the names given to different stages/years/ courses in different countries: k3, year 11, seventh grade...

This is a chart which can help you with it. It shows the equivalence of the USA, British and Spanish educational systems showing  the student's age.




This is a site for studying maths, in general: above all algebra and geometry.
Besides, It has different glossaries for Algebra and Geometry.

http://larryferlazzo.edublogs.org/2008/10/03/the-best-multilingual-bilingual-sites-for-math-social-studies-science/comment-page-1/

From this page, you can find different Lab Resources for maths, for example:
https://go.hrw.com/hrw.nd/gohrw_rls1/pKeywordResults?keyword=ma7+lab1

Resources provided by: Laura Juanes


http://vismath.ektf.hu/

  • Pithagoras Theorem:
https://www.youtube.com/watch?v=z6lL83wl31E
  • Perpendicular bisector:
https://www.youtube.com/watch?time_continue=2&v=y6HrPH3Hv7U
  • Theorems on the equilateral triangle
https://www.youtube.com/watch?v=21vJfGXu7tg
  • Thales theorem
https://www.youtube.com/watch?v=ZJsXr5hMJpE
  • Median theorem

https://www.youtube.com/watch?v=QrDBRMKDxeM

Resources provided by: Jose Luis García



https://nrich.maths.org/   This resource is about "rich mathematics activities", They offer free resources and curriculum mapping documents for teachers but also for students.
You can find very interesting problems and activities that allow an approach to some contents as well as a deep thinking into a specific concept. 
You can see an example as attachment .  Just enter into and enjoy!!!






Aleksandra Zaparucha reviews the CLIL approach and considers ten characteristics of it and how they can be applied. The link includes the video where you can watch the plenary. 


https://www.teachingenglish.org.uk/article/under-one-roof-considerations-integrating-content-language




Mini-Mathematical Universes
To teach the Scientific Method the natural impulse is to turn to the natural world. This needs rethinking. Mini-Mathethatical Universes can be created which students can poke and prod with precision. These universes should be given to students without explanation. My current technique is to go around each student in a class and ask them to either guess how the universe works, or identify a piece of the puzzle that they want to reveal.  Initial guesses will be wrong because they don’t understand what’s going on.

Portuguese Man o’ War puzzles are a new Mini-Mathematical Universe. Click here to see step by step instructions on its implementation in the classroom.  Many suitable Mini-Mathematical Universes already exist. The picture above is created by asking how many ways an integer can be expressed as a sum*. To present this to the class I would just show them the empty rectangles. For example, the last rectangle would be an empty 15 x 7 rectangle. They can ask me to fill in the leftmost or rightmost column of any rectangle, or they can take a guess at what one of these columns looks like.

Mini-Mathematical Universes should complement and not replace the traditional way of teaching the Scientific Method through an immersion in the natural world.Students still need to struggle with collecting data from imprecise instruments. Students still need to feel the goo.

*Mathematicians can view a sequence linked to this exploration on the Online Encyclopedia of Integer Sequences here.

**Other people are realizing the strength of this style of activity totally independently from me. See here – a brilliant way to introduce the Euclidian Algorithm by Fawn Nguyen.

Simon Gregg's comment on this post provides us with a tool to carry it out. 
  1. 'This way of looking it as investigating mini mathematical universes is a great way of framing a challenge.
    Your first activity here would work well with Cuisenaire rods, either real or in an online environment:'
    https://nrich.maths.org/content/id/4348/cuisenaire.swf


MathPickle.comhttp://mathpickle.com/blog/ is a free online resource of original mathematical puzzles, games and unsolved problems for K-12 teachers. It is supported by the American Institute of Mathematics.

MathPickle.com is a practical resource for teacher Reparar

rs. Its visually compelling puzzles and games engage students in tough problem solving. Its puzzles are organized by grade and subject – each designed for a 45-60 minute period. All have low-floor, high-ceiling. They engage struggling students in curricular skill acquisition, and deflect top students into tenacity-building challenges.
Enjoy with these examples to put in practice in your clases
  • Pithagoras Theorem:
https://www.youtube.com/watch?v=z6lL83wl31E
  • Perpendicular bisector:
https://www.youtube.com/watch?time_continue=2&v=y6HrPH3Hv7U
  • Theorems on the equilateral triangle
https://www.youtube.com/watch?v=21vJfGXu7tg
  • Thales theorem
https://www.youtube.com/watch?v=ZJsXr5hMJpE
  • Median theorem

https://www.youtube.com/watch?v=QrDBRMKDxeM


Cheers,
Jose Luis
(Edited by M. VICTORIA DE ROCHA SECO - original submission Monday, 11 March 2019, 11:55 PM)

https://www.mathsisfun.com/

https://naturalmath.com/

http://vismath.ektf.hu/

This is a site for studying maths, in general: above all algebra and geometry.
Besides, It has different glossaries for Algebra and Geometry.
http://larryferlazzo.edublogs.org/2008/10/03/the-best-multilingual-bilingual-sites-for-math-social-studies-science/comment-page-1/
From this page, you can find different Lab Resources for maths, for example:
https://go.hrw.com/hrw.nd/gohrw_rls1/pKeywordResults?keyword=ma7+lab1



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