• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month
Page
1. 1
1
2. 2
2
3. 3
3
4. 4
4
5. 5
5

# How does a child progress from concrete to abstract in the use of the Mathematics Material?

Extracts from this document...

Introduction

How does a child progress from concrete to abstract in the use of the Mathematics Material? Introduction Some ten years ago, while struggling with the trigonometry sums my Math tutor had given me, I asked her why we needed to study mathematics. Her answer was sadly, forgettable, and so were the sines, cosines and tangents that came along with algebra and geometry. Throughout my school days, mathematics had been a nightmare. It was not until now, ten years later and after understanding all about how mathematics is taught the Montessori way that I truly realized how wonderful and interesting mathematics could be! In this essay, you will read about the importance of mathematics in our daily life. I will also discuss why a good foundation in Practical Life and Sensorial activities is necessary before starting on Mathematics. I will explain the concept of the Montessori Math Materials and lastly, talk about how the materials itself provide concrete experiences that lead to abstract understanding of Mathematics. Mathematics Everywhere The primitive people used sticks, notches and stones to count. The earliest records of counting came from physical evidence, in the form of scratches on sticks and stones, as early as 30,000 B.C. ...read more.

Middle

In order to do this, the Mathematical activities are organized into six groups: Group 1 Introduction to numbers Group 2 Introduction to the Decimal System Group 3 Introduction to teens tens and counting to 1000 Group 4 Operation of the Decimal System Group 5 Introduction recording and arithmetic tables Group 6 Abstraction Group 1: Introduction to numbers The math materials at Montessori classroom begin with an introduction to numbers. These materials include: Number rods, Sandpaper numerals, Number rods & cards, Spindle box, Cards & counters and Number games. These materials give the child a sensorial "feel" for numerical properties. By manipulation of these materials, the children grasp the natural order of one to ten. They understand the value of each number and are also able to recognize the relationship of the names with the quantities. Group 2: Introduction to the decimal system When the child has mastered the concept of one to ten, the decimal system is then introduced concretely. The child is taught the names of the powers of ten and given a visual sense of units, tens, hundreds and thousands in the form of beautiful hand made glass beads or golden plastic beads. ...read more.

Conclusion

Conclusion In traditional instruction, children are expected to learn by internalising knowledge straightaway; teachers simply correct the errors and present the right answer. We know this method only turns the subject into something boring, tedious and cold, even creating math phobia. The main point is that an enjoyable and interesting introduction to all areas of mathematics is present in the environment. In the Montessori environment, the child is introduced to each activity when she is ready, and given a choice of whether or not to work with it. Repetition in the math exercises refines the child's senses, perfects his skills and builds up his competency and knowledge. Students who learn math by traditional method often have no real understanding or ability to put their skills to use in everyday life. Montessori students, however, use hands-on learning materials that make abstract concepts clear and concrete. Therefore, " a child who is allowed to explore with real mathematical objects at an early, motor-sensorial age stands a good chance of becoming a real math lover later in life. If his passions lie elsewhere, at least he will be exempt from the math phobia which many of us experience because of our own less-than joyful introductions to this area of learning."- Michael Olaf, http://www.michaelolaf.net/1CW36math. ...read more.

The above preview is unformatted text

This student written piece of work is one of many that can be found in our GCSE Child Development section.

## Found what you're looking for?

• Start learning 29% faster today
• 150,000+ documents available
• Just £6.99 a month

## Here's what a teacher thought of this essay

4 star(s)

This is a very interesting essay. It is rather specific to one area of teaching and learning but is well researched and explained.

It could be enhanced by including some theory- either relating to the actual process or contrasting ideas to widen the discussion.

Interesting and a little intriguing all the same.

****

Marked by teacher Sam Morran 01/05/2013

Not the one? Search for your essay title...
• Join over 1.2 million students every month
• Accelerate your learning by 29%
• Unlimited access from just £6.99 per month

# Related GCSE Child Development essays

1. ## Child Development - Child Study

4 star(s)

I will refer to various books and publications on the subject to find further information as I need it. I will also use the internet though I know that this is not always a reliable source of information. Therefore I will use websites recommended in trusted publications.

2. ## This is my Autobiography, this is all about my life, My family, My friends, ...

My dad found him from behind the temple well. I'm so happy to see him again, I play with him and I gave him a food to eat, than I went to my dad and hug him and I said thanks.

1. ## 'Half Past Two' and 'Hide and Seek' are poems that attempt to capture a ...

Both Scannell and Fanthorpe try to recreate a sense of uncertainty and fear in their pieces, and both achieve this aim in different ways. 'Half Past Two' focuses on the way that the child does not understand adult time due to his limited knowledge of this alien "regulation" that occurs around him.

2. ## Practical Life Exercises And Why They Are Attractive To Children

She referred to them as 'spiritual embryo'. For the child to self construct himself, he must posses with him, a pre-determined pattern of psychic unfolding, this means when the child is born, already some traits of his personality exist in him which are not visible at birth.

1. ## Analysis of &amp;quot;Refugee Mother and Child&amp;quot; By Chinua Achebe

This clearly shows how tough life is for refugees in their camps. This line distinguishes the mother from the other mothers who don't have to suffer these terrible situations, because the refugee hasn't yet lost faith in a slight chance of the child surviving, although her child is dying, she comforts both him, and herself.

2. ## My Life - Autobiography

My Mum placed the calpol, putting the lid on properly, on top of the fridge, believing it to be out of my reach, advised me to stay in the kitchen and left me whilst she answered the telephone. As soon as she had left the room, I managed to

1. ## &amp;quot;The senses are points of contact with the environment.&amp;quot; How does activity with sensorial ...

His senses have not yet developed fully and adults have no direct influence on him. He develops himself through his own activity whereby the senses and movement are the major tools for learning. The child's experiences are linked to his environment and it is only through active engagement with his surroundings that the child gains his experiences.

2. ## A reflective account of an incident in practice related

My initial thoughts when the family first closed the curtains were that they were anxious about their child and simply wanted some privacy, and when the nurses began to open the curtains I still agreed with their actions. Allowing the child to remain in the dark all day was not promoting empowerment of the patient back to good health.

• Over 160,000 pieces
of student written work
• Annotated by
experienced teachers
• Ideas and feedback to
improve your own work