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https://www.scientificamerican.com/article/is-there-a-link-between-music-and-math/

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traistaru mariaMathematics can be taught by singing. It was proven by Dragoş Constantinescu, a teacher from Valcea who enters the guitar classes. The method caught and made students hold the theorems, axioms, or corolla much better if they were drunk by the teacher than if he had said in a loud voice. This mathematical-musical language simultaneously succeeds in capturing the children's attention, disconnecting them and stimulating their intelligence and inventiveness, that is to create favorable conditions for what is taught on the board to truly become an "unforgettable" lesson. And the results have not been expected. It's a matter of pedagogy, but especially a lot of love for the professor's job, increasingly rare in our society so alert.

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traistaru mariaMathematics can be taught by singing. It was proven by Dragoş Constantinescu, a teacher from Valcea who enters the guitar classes. The method caught and made students hold the theorems, axioms, or corolla much better if they were drunk by the teacher than if he had said in a loud voice. This mathematical-musical language simultaneously succeeds in capturing the children's attention, disconnecting them and stimulating their intelligence and inventiveness, that is to create favorable conditions for what is taught on the board to truly become an "unforgettable" lesson. And the results have not been expected. It's a matter of pedagogy, but especially a lot of love for the professor's job, increasingly rare in our society so alert.

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Slightly related to music: I use some problems related with the music my students can store in their mobile phones, according to their memory. For example:

Julia has 2 GB of free space in her mobile phone. Knowing that a song weighs, in average, 5 MB, could she store 500 songs? After answering that, complete the following table. Find out how many songs can you store in your own phone.

Number of songs | MB
0  |
10  |
20  |
30  |
40  |

I also play once and another this BEDMAS song to review order of operations. My students love the song and it’s very catchy.

Finally I would like to share with you the Golden Ratio song, by Numberphile, and the Calculus Rhapsody.

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as an idea? calculate the frequency of the favorite song over time

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Here we see how the song is highlighted with so many areas, namely music. I've never done any kind of activity linking music to math. But, it's time to start thinking about it ...

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I like music, but I have never tried anything like Mr. Mac did. My students never wrote a poem with a Math's topic. I'll have this in my mind for next generations.

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It is challenging for me to find ways to combine math and music! I will pursue to collaborate with the music teacher!  This is difficult for me because  I don’t know much about music!

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I understand the value of using music, mnemonics etc to learn things which must be memorized, especially for younger children. However, in high school, with a fixed curriculum and limited classroom time, I cannot justify using this precious time to write songs and make videos. Our students have to sit standardized tests. A lovely idea but not practical.

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Music and Math? Cool but difficult for me because I don't know music, I only listen to

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I propose to my pupils an International contest, Odysseus.
To promote it among them, I show themm the interdisciplinarity of all the different sujects the study.
I'm used to show them some video linking music and space/sciencefiction such as

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Jimmy Fallon, The Roots & "Star Wars: The Force Awakens" Cast Sing "Star Wars" Medley (A Cappella)

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Song of pi number:
Https://youtu.be/wK7tq7L0N8E

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It's a very cool thing!

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Il RAP - Disequazione secondo grado - il metodo del D.I.C.E.

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https://youtu.be/950AAFXgivk
https://youtu.be/2BRdh1mQsT0

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My students learn math with the songs
http://www.risorsedidattichescuola.it/cantiamo-la-matematica.html

https://youtu.be/RiMUlrWELEk

The notes are in fact the time indicators; every note may have a duration which is expressed through a different musical shape. Just like in the pentagram the height in which it is positioned the note indicates the frequency, in the same way the symbol through which the note is indicated and expresses its duration.

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The song of the corner
At My little students like  this song. I often use songs with maths objects.

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Musica e geometria scuola primaria langolo concetti e definizioni

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song of Pi number
https://www.youtube.com/watch?v=OMq9he-5HUU

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Funny song for explain  Heine-Cantor Theorem
https://youtu.be/raTChqHosqE

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Pupils in Kindergarten love learn songs with numbers and maths

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Funny, Maths and Music

https://youtu.be/nzBkGgP_2i0

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I have already shown to my students some songs, especially in English, to see that it can be easier, and entertaining, to learn mathematics. But as they have difficulty in English I ask them to try to make some lyrics in our language or invent them songs!!...Still without success….

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Music and Maths can be linked at the multiplication song.

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My little students last year went crazy for this song. I often use songs with maths objects.

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Canta e impara i numeri fino al 10 - Canzoni per bambini @Mela_Educational

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Math Dance Basic function's graphs

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γραφικες παραστασεις

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γραφικη παρασταση

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Μαθηματικός χορός (MathDance) Χορεύοντας με τις γραφικές παραστάσεις Μπορούμε να μάθουμε μαθηματικά, χορεύοντας; Και όμως μπορούμε! MathDance, γιατί οι μαθηματικές έννοιες γίνονται πιο συναρπαστικές,πιο κατανοητές και πιο αξιομνημόνευτες όταν τις κάνουμε πράξη με όλο μας το σώμα.

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My pupils love songs and music, so I often use music to teach mathematical concepts like the rhythm, time tables or geometrical facts.

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Il processo di memorizzazione di fatti matematici e definizioni di geometria, procede di pari passo e facilita la comprensione dei concetti matematici nei bambini della scuola primaria.

L'apprendimento mnemonico è da considerarsi un primo scalino e comunque un porto sicuro, un aiuto indispensabile per orientarsi nel mare degli apprendimenti.

Interrompere di tanto in tanto la lezione con una breve canzoncina sulla matematica, inframmezzare la spiegazione con rime cantate in coro rende la lezione più vivace e partecipata.

Ecco qui un repertorio essenziale.

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Matematica canterina Canzoni di geometria per bambini scuola primaria

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Il processo di memorizzazione di fatti matematici e definizioni di geometria, procede di pari passo e facilita la comprensione dei concetti matematici nei bambini della scuola primaria. L'apprendimento mnemonico è da considerarsi un primo scalino e comunque un porto sicuro, un aiuto indispensabile per orientarsi nel mare degli apprendimenti.

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I share the view that Music and Maths are really naturally linked and  I remember when I used to teach in primary schools I sometimes used to play unconventional musical instruments  to make pupils understand the concept  of rhythm, repetition and pattern. The guys felt really excited and motivated when they could sing a song dealing with multiplication tables for istance. The maths class used to become  a relaxing and nice one and they kids used to look forward to it.

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we can find a good example in https://youtu.be/iEVGQKwKeCc

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Music and Maths: Every time I talk to the children about Pythagoras' theorem, I tell them about his discovery of the connection between music and math. Pythagoras and his disciples, realized that in the succession of musical notes constant reports of whole numbers were take place.

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These ideas are amazing!! I use music to teach multiplication table

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We can use and indroduceusic in Maths while wr teach paterns(motivos).Songs and insrumental music have a pepeting form of rythm which is mathimatically based

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Turkey

I am using math and music together for my students' ages.

Both mathematics and music are a universal language.
In both, it's important.
It makes the lesson fun.The students are more interested.

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I think maths it is a way of life. Even in my music classes, for the primary students, the sound and the

the rhythm of a great song is logical, to be loved...

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Last year with my students aged 9 I used scratch to create a short dancing movie

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I've tried difficult to find material about Maths and Music related to the contents I've to teach to my students old at least 16. And so I've looked for something that can be relevant for my students. It's interesting read here  https://en.wikipedia.org/wiki/Music_and_mathematics in which there are information related to the logarithm
http://www.ams.org/samplings/math-and-music
or in Italian http://www.matematicamente.it/cultura/curiosita-matematiche/la-musica-e-il-suono-della-matematica/
or watch this video https://www.ted.com/talks/scott_rickard_the_beautiful_math_behind_the_ugliest_music?utm_source=tedcomshare&utm_medium=referral&utm_campaign=tedspread
or watching this image

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I think these ideas are awsome!! I would try some in my class. Something that worries me is the time that it take...always the same but I think it´s worth doing.
The only music I´ve used is a song to remember SOHCAHTOA (trygonometry)

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Last year I used "tabelline canterine" to let my students known about multiplications.

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Last year, I've suggested to my students (8 years old) to memorize multiplication table with rhythm.
I told them to try to  listen the rhythm and then they've invented their own songs!

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I use another Pi song.
And every generation of students likes it.

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I have not tried to use class music yet to help students remember the notions of math much easier. But I firmly believe that music would help them to remember formulas or notions of mathematics much faster. I must first build a musical culture as a teacher so that I can share them.

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matematiği gerekli yaklaşım yöntem ve teknikle anlattıktan sonra eğlenerek sevdirerek bazı kavramları öğretmek istedik :) sosyal ve duygusal anlamda olumlu etkisi çok fazla ...

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I really enjoyed the connections between math and music and I know some of the younger grade teachers have used songs to help learn the multiplication tables. There is also a great site called flocabulary that has videos, I especially like the coordinate plane rap. I also think when teaching fractions you could bring up music notes being fractions (whole notes, half notes, sixteenths etc) I’m more of a visual artist than musician so I find that an easier connection for me to make and be confident working with but I love the ideas here.

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I use the song ,,Count''to help my students learn the time tables.

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I usually use music to introduce a new maths topic.

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I use music with mats just to teach fractions and the additions or substractions between the same harmony. These are great ideas for future use.

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Romania
For the youngest students it is very important to work with knowledge as a whole, which means it is confortable to teach THE  HISTORY OF TITANIC using numbers, singing the  songs from the movie and  learning history  as well. These are  the opportunities for interests and  motivation in the  learning  process.

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I have used  some numbering songs that my students really loved  and they easily learned how to number.

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Last year i had asked my students of 16 year old while teaching algebra to work in groups and present us one topic of their interest that has to do with the topics under study and something more common like music, movies, athletics, paintings. Two of the groups suprisingly made a presentation regarding trigonometry, harmonic analysis and music composition. The whole class gained a lot from these experience

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I'm not good at music but I like writing sentences in harmony. I note it I'll use it and want my students to make records about our subjects and share them with us. By the way ı thank to participants, ı learn a lot of things from them. I'm grateful.

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I used these songs in second grade to teach multiplication table. It's in italian.

I usually show this video too: https://www.youtube.com/watch?v=AJgkaU08VvY

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Tabelline Canterine Cartoons - Canzoni per bambini @Mela_Educational

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I think we can always use good existing resources in the network in case we are not good at music. This is an interesting example of video to connect music and math.
https://youtu.be/zAxT0mRGuoY

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Well in this subject, I have some experience, two years ago I did a research work on numbers one in music in different decades. We studied the presence of the gold number, and we saw in all the videos and in the songs themselves that the climax of the song coincides with the aúrea proportion. We listen from Elvis presley, Beatles, Michael Jackson, U2, ACDC, Adele, ...
And last year, with the computer programs used the previous year, we analyze the concepts, properties and mathematical structures that appear in the scores of the best known songs. We have won the two years prizes in science contests with these works. They are passionate

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The History o Beauty by Umberto Eco- Chapter III.1 Number and Music

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I have always known maths and music are related...but I am not a good musician, anyway I think I will try to involve students in a sort of exploration of maths in playing guitar etc. But I wish to share a video about fractals: years ago I went to a conference about music adn fractals, and it was awsome, still remember it! look at this https://www.youtube.com/watch?v=NQJyyJdjJAw

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I only know that you can teach fractions using musical notes, that's what I found out talking to our music teacher, some years ago when I was teaching fifth grade.

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YES  IT IS REALLY USEFULL FOR THE FRACTIONS

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We use music in our class a lot.

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Maybe one interesting idea (that also mixes some Physics and vibrations) is to let them explore the sounds of different flutes (or other instruments, strings or drums for example) that they will have to make, with different materials, lenghts and number and positions of the holes and try to come with an explanation of what is happening.

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This is the perfect explanation of maths and music

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"Music is the pleasure that the human mind proves when it counts without being aware of counting". G.W. Von Leibniz
Through the language of geometry, it is possible to describe and appreciate the so-called musical symmetries. They were systematically used by J.S. Bach (for example in Goldberg Variations, Musical Offer and The Art of Escape).
An example of repetition is the famous "Fra Martino".

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Pythagoreus monocord is one of the most beautiful examples of the link between music and mathematics
http://www.lanaturadellecose.it/sonia-cannas-289/matematica-e-musica-290/la-scala-pitagorica-292.html

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I have recently collaborated with a colleague of mine, who is an excellent piano player and a Maths teacher, to the set-up of some lectures about Maths and Music. Pithagoras and Bach were chosen as best examples to deal with technical problem (such as musical temperament, scales) as well as the symbolic and exoteric meaning of numbers. Moreover, my colleague showed how isometries play a crucial role in the structure of the Art of Fugue by J. S. Bach. Students were literally thrilled!

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I am a completely non-musical person without musical hearing and talent :-( I only know the connection between musical frequencies and Fibonacci numbers and Golden ratio. But I agree, that connections between math and music can be very inspiring for some students.

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I have never thought about connecting music and Maths, but I like the idea.

In Hungary there was a group of university students who made songs about Mathematical topics using famous song covers. I attach a link to some of their songs, but unfortunately they are in Hungarian:

https://www.youtube.com/watch?v=zVg1zzdG89U

https://www.youtube.com/watch?v=seibY77PFAA

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unfortunatelly I haven't a music colture but I ask an help to my music collegue. I would like to use music to understand fraction our idea is to create a music.
while I organize this I want to show a very funny video..sorry it's in italian ..Ruffini theoreme Rap
https://www.youtube.com/watch?v=kePx7biRTR4

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România
, Can not music be a mathematics of the senses and mathematics a music of reason? For the musician feels mathematics and the mathematician conceives music. Music is a dream, mathematical practical life. "(J.J.Sylvester)

"Mathematics, which by its application embraces all spheres of human sciences and crafts is one of the most important objects of classical teaching." (Gh.Asachi)

Painting is an art of gaze, sculpture is an art of touch, math is an art of thinking, music is an art of soul.
https://www.youtube.com/watch?v=KrP3WIDX9QM&index=2&list=PLwsu9t88rs3Y_Y_EtWFr8WZg298Hny1h-

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I played the piano years ago, but only as a way to pass time and produce music for family. I'm not sure I'd be able to record music for classes. But I'm thinking to "exploit" my students' talents :-)
Also the simple use of some background music can be helpful and I'm thinking to introduce it as a bonus during exercise time.
Bach would be the best to show recursive structures and explain the concept of recursion in a "non mathematical way".
I also like to intruduce the irrational numbers with this funny video (in Italian)
https://www.youtube.com/watch?v=6frQNN_SFxY

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Great video about the sounding of number pi.
We admire it and watch this video every year

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I did not try to talk about music than the theorems put on music in the idea that the students will remember them more easily, but I think it would be interesting.

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very inspiring videos on music and maths. Both universal and beyond any boundaries ; and this is what students are attracted and enchanted by!

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Using a music in math classes is a very good idea. I will try this. I make  a song wit my students.
I will use a musical notes for explain fractions. Example, 1/2+1/2=1
or 1/4+1/4+1/4+14=1; 1/8+1/8+1/8+1/8+1/8+1/8+1/8+1/8=1;
or 1/4+1/4=1/2 etc.

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Mathematics and music are a universal language: all mathematicians
of the world operate through a system of symbols that can be understood
irrespective of the spoken language, as well as a score can be translated into music
without having to go through the language.

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If it is not fun, it is not interesting, if it is not interesting it is forgettable. Learning must be active and interesting. If not, it is only useless information.  Thanks for all the nice videos I watched here. I am a fan of using music to teach maths. There plenty of videos on that subject, even in Greek.

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I think music is a greta way of engaging children especially in the younger years. I use songs to help with counting and number bonds and often find children repeating the songs at various points throughout the day. The children find them fun so engage easily with them and it appeals to all levels and abilities.

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Unfortunately I do not have a musical culture, so it is very difficult for me to work alone in this field. But I think that in collaboration with the music teacher, for example, you can make a link between the music notes and the fractions.
Also, in Italy there is a music group that sings scientific math songs to help students memorize: http://www.rivistamicron.it/temi/una-boy-band-canta-le-leggi-di-keplero -here-i-alternate-Italian /

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Students listen to a song and identify the number of domestic animals present in the song and then the wild animals. They are allowed to listen to the song twice

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A teaching approach I suggest to my students is this picture

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I cannot play any musical instrument but many of my students do. I trust in learning "by heart" and for this i will commit myself to integrating in my lesson activities that encourage my students' musical talents, giving them the task of creating songs about the material I teach. This is a good idea!
Let me share here an experience I did last year with my English colleague in the CLIL project.
When I told my students that we would have faced  the Learning Unity "Decision making under Uncertainty" in English, their reactions were: Oh no! I don't understand  Math in Italian, let alone in English !"; "Oh no! I have to study double!"
My colleague and I decided to start with an activity that involved them having fun: A song about the probability and the relative theorems ( Bruno Mars).
The result was amazing: All the students started singing. CLIL work continued in a favorable climate.
Here is the video: The Probability Song.

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I couldn't imagine until today that \[\sqrt[{12}]{2}\] is so importen number in music theory.

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When we were a student, we always learn to listen to music

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It was very interesting to me when I watched (when I was a kid) a TV show where there was 8 glasses with different amount of water in them. Every glass was producing different sound when you touch them with a little piece of plastic or wood. They say, Pitagora was doing something like that too!

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Turkey
I like relating maths with art, literature and music. I made my students listen the pi song last year. This year we wil try to write some piems which means writing poem with the words  which have the same numbers of letters with the pi like 3,1415926... After watching this video we may also turn this piem to a  pi song.

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It's a fact that maths are everywhere in our life. Art, music, literature, etc. It is crucial to use all our ideas to make maths interesting and usable for all our students. Music is one of the most popular teaching tool we are able to use. In my class we try to make songs and poems in order to learn mathematical types. It is very common to do that but i really liked the ideas of the videos above and I am thinking to try and make something simmilar. Thanks!!!

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I don't play any musical instruments but I do joke around with the boys by singing or dancing however after watching these clips I should incorporate my not-so-talent to teaching so that the students will remember certain concepts better. Thanks for sharing these ideas.

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Let me share with you one experience from my friend Giuseppe Gulotta and G-band, which shows that Teachers do not have to go far in order to conduct a meaningful dialogue with their students including through music.

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As I do not know how to sing I usually show this video to my students about Music and Mathematics: Donald Duck: Mathmagic land (DISNEY)

https://www.youtube.com/watch?v=AJgkaU08VvY

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I never worked with music in order to explain math. To remember some rules sometimes I used old doggerels. It could be a good way to start math the introduction of words in rhymes and music to fix some rules

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I don't play the piano or guitar but I would sing a song!  joke! I propose a simple song to remember the order of operations.
https://www.youtube.com/watch?v=5gl9_zyH6s0

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mathematics is related to music
In my class I teach students the values of music scores through mathematics

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“How is it that Beethoven, who is celebrated as one of the most significant composers of all time, wrote many of his most beloved songs while going deaf? The answer lies in the math behind his music.” Watch this video fm TedEd.

http://bit.ly/2xN6Tvd

And a song about the multiplication of 3

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προπαίδεια 3

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λάχανα χ χάχανα

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Προπαίδεια με τραγούδια: Το κυνηγητό

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Η προπαίδεια με τραγούδια: Μαθαίνω την προπαίδεια του 3. Τραγούδι: "Το κυνηγητό" από το cd "Λάχανα Χ χάχανα" Μουσική: Τάσος Ιωαννίδης Στίχοι: Παυλίνα Παμπούδη

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A teaching approach that I suggest to my students is the cartoon MathMagic Land. The short film soon became one of Disney's most popular educational films and was immediately made available to schools with an introduction to Pico de Paperis.

Donald Duck, with a hunting rifle, enters the Mathmagic Land, a fantastic kingdom where  trees have  square roots, number streams and a wandering pencil playing tris. After listening to a bird reciting the first 15 digits of Greek, Donald heard the voice of the " True Spirit of Adventure" that will guide him on his journey through "Country of Wonders of Mathematics". Donald is initially not interested in exploring Mathmagic Land, believing that math is for "eggheads". When "Mr. Spirit" suggests a connection between math and music, though, Donald is intrigued. First, Donald discovers the relationships between octaves and string length which develop the musical scale of today. Next, Donald finds himself in ancient Greece, where Pythagoras and his contemporaries are discovering these same relationships. Pythagoras (on the harp), a flute player, and a double bass player hold a "jam session" which Donald joins after a few moments using a vase as a bongo drum. Pythagoras' music is, as the Spirit explains, the basis of today's music, and that music would not exist without "eggheads". The segment ends with a sequence of live action musicians playing both jazz and classical music and Pythagoras' pals fading away.

https://www.youtube.com/watch?v=PvceKeHl0Sg

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In Italy the Ruffini's rule rap have obtained great success....
https://youtu.be/kePx7biRTR4

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I often use songs to help my students learn the time tables and they  find it really easy to familiarise with multiplication after that!

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I teach young students and I often use Music, Arts or Literature related to Maths. Here is a link to a tool I used for 5-6 years old students to repeat/learn the even and odd numbers:

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Numere cu sot si fara sot by Cornelia Melcu

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TOUCH this image to discover its story. Image tagging powered by ThingLink

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I find interesting the math union - music, which I already knew. I read the book "doremat the music of mathematics" description of a project that connects calculations to notes. Very interesting. Personally I think it's engaging. I did see a movie in a high school classroom. Many liked it but had difficulty understanding why spoiling music with calculations "

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But this song can never end...