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The basis of Montessori approach is that learning through experience and going through the process of investigation and discovery is one of the most effective ways for a child to learn Montessori also believes that children do not learn by memorizing information given to them but from concrete experiences that interests them. This is why Montessori focus on creating different developmentally appropriate concrete learning tools and materials that stimulates the child into logical thinking and discovery for subjects such as mathematics, sensory development, language and so on.
T. Seldin, The Montessori Way
Discuss the approach to teaching math taken in the Montessori classroom

What is mathematics? What would our life be without numbers? Wouldn’t we be lost without it? Imagining a life without mathematics is just impossible! Mathematics is logic, sequence, order, and extrapolation of truth. The oxford Dictionary of English 3rd edition defines mathematics as “The abstract science of number, quantity, space, either as abstract (pure mathematics) or as applied to other disciplines such as physics & engineering (applied mathematics)”.
“Pure mathematics is, in its way, the poetry of logical ideas”, said Albert Einstein
(Supporting Mathematical Development in Early Years, Pg 42) Math is not only additions or subtractions what child learns at the school, it is all around the child from the day one; he may hear ‘you were born on the seventh’; ‘at eight you go to the bed’; ‘one button is missing in your shirt’ or in the society he may face questions like, ‘how many sisters or brothers you have?’ etc., A young child’s small hand grasping beautiful objects, sensing the world around her – shapes, dimensions, relationships, amounts - all represented by concrete objects that prepare the mind for a deep understanding of the principles of mathematics. A child’s day to day life is all connected with math and all the basic conversations he does are also very much involved with

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