Mastering Mathematics through Music and Chess

How can we bring joy into the process of gaining knowledge? In this article based on the theory developed by Dr.Rashad Abrarov – physicist-mathematician, we take a look at how educational process is made most effective. Mastering Mathematics through Music and Chess….

Catching up quite seriously in Music and Math from my childhood and later in Chess, over the years I realized what an important role in shaping of my intellectual abilities and my outlook have played these subjects. I was well familiar with traditional methodologies of teaching. I also particularly well knew the serious imperfections of the educational process at school. In my mature years, I began to wonder – how you could convert the learning process, so that education will take place the most efficient way. I asked myself whether it is possible to teach in such way that Students would have an irresistible desire to learn new things and enjoy the process of gaining knowledge – how to develop curiosity of the Student, a great desire and ability to self-improvement of their knowledge and skills. At the same time to do it under the guidance of a Teacher that would indicate the most effective way of how to improve on the subject.

I came up with some, in my opinion, important conclusions about how the learning process should be. How Mastering Mathematics through Music and Chess is made possible. First, we need to attract as allies emotions (passions) faced by the human individual: such emotions (passions) as curiosity, love for the games, the desire to compete and to lead, and so on. Emotions (passions) can have, depending on the specific situation, positive and negative features. However, in the learning process when used correctly they can become allies and play absolutely positive role as a stimulant and a catalyst for the acquisition of new knowledge. For example, if we want to use the natural curiosity of man and his love for the games, we have to give him the direction of the activity on those games that can bring him the most benefit.

In my mind, here huge roles have to play such interesting areas of human activity as Music and Chess. No one will dispute the enormous informative and emotional potential carry these two activities. In Mathematics, there are also bright emotions, fascination, delight, majestic beauty, harmony, but they are not so obvious, and to understand them one requires some preliminary, very often fundamental preparation. Each of these subjects by itself is valuable and each of them attracts an enormous interest. Deep knowledge of these subjects generates a high level of the intellectual and cultural development of the individual. Thousands and thousands of people willing to become a professional in one of these items in order to devote his entire life to the study, development and teaching of the subject.

But Mathematics goes by the first number. Because it has gained notoriety as one of the most challenging subjects for children and more than any other causing problems. Moreover, it is necessary to remember that it is all-embracing subject. If I was able to achieve that Students liked this subject, “ignite” their curiosity, desire and ability for self-learning, and eventually bring them to a deep understanding of the subject, I believe, largely I reached my objectives. In achieving these goals, the other two subjects Music and Chess have to help me. In both of them, there are quite obviously emotional, game moments I would like to bring down to Math. In addition, in all of three subjects there is the same thinking technique. If the Students find difficult to develop this technique in the study of Math, then we can easily teach them a similar technique on the example of Music and Chess. In the very end in the study of Mathematics, I would like the Students to achieve a “state” of the great mathematician Euler: “Euler calculated without any apparent effort, as men breathe, or as an eagle soars above the ground.”


I would like to mention here the important thing that we switch from the traditional routine method of teaching (it does not mean that we denying this technique at all) through rules, exercises, memorizing … in a much more effective: education through love for each of these subjects, the development of curiosity, ability to learn independently, deep understanding. For this purpose we are applying, the mental (as in thought experiments), emotional, competitive, game approach.

I think the task of the Teacher is not just to give a certain amount of knowledge on the subject – the primary task to instil love for each of these subjects: Math, Music and Chess. The learning process for Students should be completely natural and desirable, to bring pleasure, joy and positive emotions! In fact, my aim is to teach Students how to learn correctly and not to spend mindlessly all the time on the boring monotonous hated exercises with a minor effect and often harmful at all. This “training” only lead to disgust to the subject of study.

For our purposes, it is of particular importance that through training and actual Chess play, as well as studying, listening, performing and creating Music, we are able to send Students important intellectual and cognitive abilities – such abilities as to think logically, to be focused on the subject, to respond quickly to the changing situation, to memorize a large array of information. These subjects give lot of skills that are identified in school as extremely important: imagination, innovation and creativity. And of course, these abilities can be used to great advantage the Students to learn and improve in other subjects – in Math, Science, Linguistics, Literature, … . For such Students cope with the requirements of the school curriculum will have no difficulty.

Here are some facts about the benefits of learning Chess and Music. Let us find out what say the experts and professionals about it:

The Chess Federation of Canada (CFC) – Patrick McDonald, CFC Youth Coordinator has compiled a listing of  on-line  resources,  called   Benefits of Chess – The  Benefits   of  Incorporating     Chess  in the   School Curriculum. Why you want chess in your school.

The Royal Conservatory of Music – The Benefits of Musical Education: An Overview of Current Neuroscience Research


Here are some interesting quotes:

  • The real science and real music require uniform thought process. (Albert Einstein – physicist)
  • If I were not a physicist, I would probably be a musician. I often think in music. I live my daydreams in music. I see my life in terms of music. … I cannot tell if I would have done any creative work of importance in music, but I do know that I get most joy in life out of music. (Albert Einstein)
  • Music is a hidden arithmetic exercise of the soul, which does not know that it is counting. (Gottfried Leibniz – philosopher and mathematician)
  • Thinking about Art and Science, about their mutual relationships and contradictions, I have come to the conclusion that Mathematics and Music are at opposite poles of the human spirit; that by these two antipodes is limited and is determined all the creative intellectual activity of man; and that between them housed everything mankind has created in the field of Science and Art. (Heinrich Neuhaus – pianist)
  • Every good mathematician should also be a good chess player and vice versa. (Henri Poincaré – mathematician)
  • Chess is a unique cognitive nexus, a place where art and science come together in the human mind and are then refined and improved by experience. (Garry Kasparov – world chess champion)

If the value of Chess in schooling is already widely recognized, suffice to say that Chess in school’s curriculum already adopted mandatory in more than 30 countries (call for example, such a large, developed country like Mexico). But the importance of teaching Music in the schools program is as it seems to me still undervalued. I am convinced that Music as well as Chess has to become as a compulsory subject in school curricula. Because Music is not less than Chess is an emotional experience, and contributes to the rapid development of exciting intellectual abilities. Music is intimately related to Math – musical perception on neuropsychological level proved to be very analytical. Furthermore, the processing of musical stimuli involves parts of the brain that are traditionally responsible for logical operations.

It should be noted another important feature of Music lessons. Fine motor of fingers, when learning for example to play the piano,  developed and coordinated movements of the hands and fingers, as well as the ability to play by ear and improvise, have an extremely beneficial effect on the development of the qualities of the human brain, which are, for example, important for the development of mathematical abilities. It is no coincidence; many prominent scientists and mathematicians were also excellent musicians and connoisseurs of fine music. Conversely, many outstanding musicians had brilliant mathematical abilities.

Chess and Music are an extremely useful tool for development of intellectual abilities! Chess and Music contain elements that can be easily converted into great exercises for the development of mental abilities of Students. Knowledge from Math and Science for Students can be interwoven into the teaching of Music and Chess. Conversely, elements of Music and Chess should be presented when learning Math. Interlacement – Interconnection of these objects are the key factor.


We do know, children love games and Music (and many adults too)!

Let us fully use for the process of education these desires, given to us by Nature!


I would like to express my appreciation to Dr. Sanjar Abrarov for useful discussions and advices.

Rashad Abrarov – physicist-mathematician, PhD.


Piano Sale at Classic Piano Centre!

Welcome to our annual Mother’s Day Piano Sale at Classic Piano Centre!

Join us during this special promotion time from May 1st to May 10th and enjoy great saving on professional YAMAHA & KAWAI upright & grand pianos! Mother’s Day Piano Sale at Classic Piano Centre is a perfect opportunity to show your beautiful feelings  and special attention to the ones you love: your mother, sister, daughter, wife……As always, one of the Classic Piano Centre family members will help you select the right instrument for your space and musical needs. ALL of the pianos for sale at our Toronto Piano Showroom come with complimentary delivery, first piano tuning after delivery, parts and labor warranty as well as matching piano bench. CALL TODAY to book your piano-testing appointment: 416.667.0000Piano Sale for Mothers Day

Celebrate your mother all day, every day, forever………

Sonnets are full of love, and this my tome
Has many sonnets: so here now shall be
One sonnet more, a love sonnet, from me
To her whose heart is my heart’s quiet home,
To my first Love, my Mother, on whose knee
I learnt love-lore that is not troublesome;
Whose service is my special dignity,
And she my loadstar while I go and come
And so because you love me, and because
I love you, Mother, I have woven a wreath
Of rhymes wherewith to crown your honored name:
In you not fourscore years can dim the flame
Of love, whose blessed glow transcends the laws
Of time and change and mortal life and death.

Christina Rossetti (from A Pageant and Other Poems, 1881)

March break piano sale


MARCH BREAK PIANO SALE at Classic Piano Centre!

Come and join our family owned piano store for the annual MARCH BREAK PIANO SALE at Classic Piano Centre! Piano Sale goes until March 22nd. This is one of the best times to find the right piano for your musical family and creative lifestyle! Great savings on ALL piano makes and sizes! Amazing variety of pre-owned Yamaha and Kawai pianos! Financing options available for up to 12 months! ALL Inclusive packages with each piano purchase!!! Bring your whole family to Classic Piano Centre and enjoy comfortable atmosphere of our Music Kingdom! To book your personal piano-testing appointment please CALL TODAY: 416.667.0000
march break piano sale

Classic Piano Centre

Snapd North York at Classic Piano Centre

Dear Classic Piano Centre Friends!

This past Family Day was celebrated in most wonderful atmosphere of music at Classic Piano Centre showroom!!! We would like to thank everyone for joining our family and performing musicians in celebration of LOVE, LIFE and MUSIC!!! Truly, we received the kindest and warmest feedback from the concert experience. The feeling all around this music venue was very cozy and comfortable. Special THANKS to my dear friends: Irina Isakov on piano, Anna Belikova singing mezzo-soprano, and Natalya Gennadi Matyusheva singing soprano. The three beautiful divas made this afternoon concert at Classic Piano Centre memorable and left musical marks in the hearts of all guests!

Another great, big THANKS goes out to our most special visitors: the little boys and girls! How amazing it was to observe our youngest audience enjoy the joyful sounds of Mozart, the not-so-light and childish sounds of Rachmaninov,  Schumann, Ravel, Liszt and many more composers! Children as young as 3-4 years old set through an hour long classical music concert with open eyes and hearts: that is at least impressive!!!

Classic Piano Centre had another pleasant surprise that afternoon: NORTH YORK Snapd- local newspaper paid a visit to our Family Day Concert celebration! Please see follow this link to see more pictures and read a few more words about the wonderful and musical day we had! See you all soon! And stay ‘tuned’ for upcoming events at Classic Piano Centre!




Cinderella Ballet


Victoria Ballet Company Presents Cinderella

With music by: Sergei Prokofiev

Choreography: Victoria Mironova

Libretto: Victoria Mironova after the fairy tale by Charles Perrault

Who can resist the fairy tale of Cinderella? This timeless classic perfect for all age groups, that our brothers, sisters, parents, and even grandparents grew up with. Cinderella was shown in many different genres: movies, musicales, live show productions, etc. Action or animated, the story of Cinderella is a great opportunity for some quality family time.

How about seeing it live this FAMILY DAY WEEKEND, on the stage of Richmond Hill Centre for The Performing Arts, with colorful costumes and mesmerizing performances? Victoria Ballet Company has produced the classic Cinderella Ballet – first staged at the Bolshoi Theater in Moscow right after World War II. Why right after WWII? People wanted to see a performance that is encouraging, cheerful, and lighthearted – something that can inspire and bring joy to everyone.

The Cinderella ballet is, of course, based on the folk tale of Cinderella with roots in countries all over the world, including China, Egypt, Germany, Russia and many others. What other fairy tale can better suite our multicultural society? The composer for this particular rendition of Cinderella was Sergey Prokofiev; his music for this performance can only be named a gift to humanity. Yet, it is also one of the most challenging musical pieces to choreograph – and Victoria Mironova, the artistic director of Victoria Ballet Company does an outstanding job of it.

Whether you’re a ballet aficionado or haven’t seen a performance yet, you will enjoy this production. Victoria Ballet Company’s performances are known for the immediate emotional connection made with the audience, it is easy to enjoy by all.

We hope to see you all at the show!


Richmond Hill Centre for the Performing Arts 

10268 Yonge St., Richmond Hill

Tel: 905-787-8811



Interesting Facts About Mozart

On January 27th of 2015, Mozart would have been 259 years young!

mozartMozart Wolfgang Amadeus Mozart ( 1756 – 1791)There are many interesting facts about Mozart.One of the greatest composers of the classical period.

He studied and admired the works of Bach, Handel and Haydn

  • By the age of 6 he was writing his own compositions.
  • He wrote his first opera, Mitridate Re di Ponto, in 1770 when he was only 14 years old.
  • He composed his first great mass, aged 12 – Misa Brevis in G
  • While visiting the Vatican, Mozart heard Gregorio Allegri’s Miserere performed in the Sistine Chapel. He was able to write out the entire score from memory. Previously, the music had not been reproduced outside the Vatican.
  • Haydn was full of praise for the young Mozart, telling his father there was no other man like him.
  • In 1784 he joined the Freemasons – an organisation dedicated to mutual friendship.
  • In April 1787, Beethoven then aged 16, arrived in Vienna to get two weeks worth of musical lessons from Mozart.
  • At the age of 17, he received a prestigious appointment to play in the court of Vienna, Austria.
  • He married Constanze Weber in 1782. They had six children, but only two survived infancy.
  • Mozart earned a substantial sum from his successful operas, but he was extravagant in spending and often ended up in financial difficulties.
  • He was a Roman Catholic and some of his greatest works were religious in nature.
  • He died of kidney failure and was buried in a common grave with little fanfare, though that was common for the time.

Greatest Works of Mozart

  • The Magic Flute(Opera)
  • Don Giovanni. (opera)
  • Marriage of Figaro (opera)


  • Piano Concerto (K. 595 in B-flat)
  • Piano Concerto No.21 in C, K.467
  • Clarinet Concerto K. 622,


  • Symphony No.39 in E flat, K.543

Choral Works

  • Ave verum corpus K. 618,
  • Requiem K. 626.

Family day concert


Invitation to ALL music lovers to attend Family Day Concert!

Welcome to the wonderful world of Music Kingdom! It is our pleasure to invite all music lovers to the “Family Day Concert” taking place at Classic Piano Centre. An intimate, cozy and warm atmosphere of this family concert will make your stay comfortable and the beautiful, magical sounds of classic melodies will please your ears! Bring your family and friends! Enjoy!!!

King of grand pianos – Steinway & Sons!

Today we introduce you to king of grand pianos – Steinway & Sons! 

Without your talent, a Steinway is silent. Together, you and the piano create beautiful sounds of music. Together with Steinway Piano you can deliver the best quality of performance to your audience.

You can see Mr. Steinway as a hero of financial news, as the best friend of historically famous pianists, in feature films, as an exhibit of prestige museums and enjoy the wonderful sound in the famous concert halls.
Today, more than 98 percent of the world’s active concert pianists bear the title “Steinway Artist”.

The piano earned this title for a number of reasons including it’s tonal range.
Professionally speaking only Steinway piano covers the full spectrum of any instrument in the orchestra from below the lowest note of the double bassoon to above the top note of the piccolo.

Historically this is the largest musical instrument (excluding the pipe organ), most versatile and one of the brightest.

Professional musicians choose Steinway because they can express all their music concepts and interpretations.

It is kind of privilege to own such instrument for rehearsals and performances.
Come to our show room and just try.
I guarantee you will be fascinated!

Who Invented the Piano?

Most popular question during music class: WHO INVENTED THE PIANO?

Our kids most often wonder about three things : 1. Who Invented the PIANO? 2. How old the the PIANO? and 3. How is it made?


Bartolomeo Cristofori di Francesco (May 4, 1655 – January 27, 1731) was an Italian maker of musical instruments.


The piano’s ancestors are the first stringed instruments. Plucking, striking, and bowing of strings was known among all ancient civilizations; the harp is mentioned in the Book of Genesis in the Bible. The psaltery was an ancient box-type instrument with strings that were plucked with a pick. Keys were added to stringed instruments to make the family of instruments led by the harpsichord, but keys are used to pluck strings in the harpsichord, the most popular instrument of the seventeenth century. A parallel development was the dulcimer, another stringed box with strings that are struck. Keys and strings were paired in a striking instrument in the clavichord, which led directly to the invention of the pianoforte or fortepiano.

The first evidence of the piano comes from the 1700! Cristofori invented two keyboard instruments before he began his work on the piano: spinettone and oval spinet. Cristofori also built instruments of existing types, documented in the same 1700 inventory: a clavicytherium (upright harpsichord), and two harpsichords.


The piano may be the best known and loved of all musical instruments. It also has the broadest range of any instrument, so music for all other instruments can be composed on it. It can be played solo, but most other instruments, including the voice, use the piano for accompaniment. Technically, the piano may also be the most complicated musical instrument with over 2,500 parts.

The piano is a stringed instrument. Its many parts are organized into five general structural and mechanical areas of either grand or vertical pianos. These are: the case of the wing-shaped grand piano (or the cabinet of the vertical or upright piano); the soundboard and the ribs and bridges that are its components; the cast iron plate; the strings; and, collectively, the keys, hammers, and piano action or mechanism. The case has many structural parts for attaching legs and tuning pins, but perhaps the rim and the keybed or shelf where the keys and piano action will be installed are most important. The soundboard amplifies the vibrations of the strings, which are transmitted through bridges.

The cast iron plate is installed over the soundboard and pinblock (part of the case), and it provides the strength to anchor the strings under tension. Nose bolts and perimeter bolts anchor the plate to the braces and inner rim of the case. The 220 to 240 strings of the piano are attached to hitch pins along the curved edge of the cast iron plate and to tuning pins across the front of the piano, roughly parallel to the keyboard. The piano action is still more complicated and includes the keys, hammers, and mechanism or action.

….more interesting  information will follow in the next NEWS post! Keep reading!

What is Music?

One of the first questions our students ask: WHAT IS MUSIC?

Music is an art form which the medium is sound. The basic elements of music are melody, harmony and rhythm. The word “Music” originated from Greek word “mousike”, meaning art of the Muses (goddesses in Greek mythology who inspire the creation of literature and art).

Music can be classified as performing art, fine art, and auditory art. Music has many different elements such as pitch, beat or pulse, rhythm, melody, harmony, texture, allocation of voices, timbre or color, expressive qualities (dynamics and articulation), and form or structure.

Western music theory generally divides the octave into a series of 12 notes that might be included in a piece of music.

Pitch is a subjective sensation, reflecting generally the lowness or highness of a sound.

Rhythm is the timing of sounds and silences.

A melody is a series of notes sounding in succession. The notes of a melody are typically created with respect to pitch systems, scales or modes. Music that uses the system of major-minor scale calls tonal music (all Classical music are tonal music), music that base on mode is model music (Medieval music). The key of a piece determines the scale used.

Harmony is the accompaniment in music, also describe as vertical sonorities in music, the relationships between pitches that occur together (intervals and chords).

Music texture is the overall sound of a piece of music commonly described according to the number of and relationship between parts or lines of music like monophony, heterophony, polyphony, and homophony.

Timbre, also called “Color” or “Tone Color”, it is the quality or sound of a voice or instrument. This is “Expressive Qualities” of music that is related to dynamics and Articulation.

Form can be described as the concept of musical syntax, on a local and global level. Examples of common forms of Western music include fugue, invention, sonata-allegro, canon, strophic, rondo, binary, ternary.

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