• Join over 1.2 million students every month
  • Accelerate your learning by 29%
  • Unlimited access from just £6.99 per month

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

See related essaysSee related essays

Related GCSE Child Development essays

  1. Marked by a teacher

    Child Development - Child Study

    4 star(s)

    Jack lives in a happy, safe and pleasant environment. The family is well structured and has good discipline and morals. Jacks early childhood from birth has been healthy and well cared for. All these things point to a good start in his early development and it would be expected that

  2. Marked by a teacher

    The nature/nurture debate in childhood development.

    4 star(s)

    1996, pg.213). This supports the nurture view in social development.(http://www.commonname.com/en/Powersearch.asp?ekw=AgMSHAAdRyoVTkWWOE=&app=7) Kohlberg & Elfenbein (1975) used the example of a woman who was dying of cancer to understand the moral development of children. A pharmacist was selling drugs for $2000, but he would not sell them any cheaper despite knowing the woman was going to die.

  1. Marked by a teacher

    Introduction to Child Study.

    4 star(s)

    There is a local park for her to go to with an adult and her mother has a car so they go out places. In addition, there is a local shop and supermarket in the case anything is needed. Mica knows her full name and age but has not yet

  2. Health and social care early years provision

    The government pays the school for the education. The schools have to follow the national curriculum. This means the school have to teach math and English. This service is one of the most important services of all. The school also provide a nursery for the youngest children aged 3 to 4 years old.

  1. "Language lies at the root of that transformation of the environment that we call ...

    The concept of writing comes before reading. The preparation for reading and writing begins with the Practical Life exercises. With these exercises, the children develop the control of movement and eye-hand coordination, which will aid him in writing. The left to right concept in the Practical Life exercises prepares the child in writing and reading.

  2. "The senses are points of contact with the environment." 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.

  1. 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.

  2. Basic Normal Stages of Child Development

    Learning Autonomy Versus Shame Crisis: Autonomy (Independence) vs. Doubt (or Shame) Description: Toddlers learn to walk, talk, use toilets, and do things for themselves. Their self-control and self-confidence begin to develop at this stage. Positive outcome: If parents encourage their child's use of initiative and reassure her when she

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