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From Concrete to Abstract: Montessori Kindergartens Embrace the Golden Beads to Teach Counting



During my recent experience assisting a Primary 3 student in preparing for her semester exams on counting, I came across this intriguing Montessori-inspired illustration of hundred squares, ten bars, and units featured in her textbook.


Do you know that children attending Montessori kindergartens acquire counting skills through hands-on experiences using tangible materials? This material is commonly known as "The Golden Beads".



A valuable tool for teaching counting at an early age, the Golden Beads provide a concrete and tactile experience that helps children develop a strong foundation in understanding place value and the decimal system.


The material consists of beads representing units, tens, hundreds, and thousands. Each bead represents a specific value: units as individual beads, tens as bars of ten beads grouped together, hundreds as squares made up of ten bars, and thousands as cubes composed of ten squares. Here's how a Montessori lesson using Golden Beads can be conducted:


Introduction:

Introduce the concept of place value and explain that each digit in a number holds a different value depending on its position. Use concrete examples, such as quantities of objects, to demonstrate this concept.


Presenting the Golden Beads: Display the Golden Beads material to the child. Start with the unit beads and count them together, emphasizing that each bead represents one. Then, move on to the tens, hundreds, and thousands, showing how the beads are grouped to represent larger quantities.


Building Numbers:

Invite the child to create his/her own numbers using the Golden Beads. For example, ask him/her to build the number 352. He/She would use three hundreds, five tens, and two units. This hands-on activity allows the child to visualize and physically manipulate the beads, helping him/her to understand the composition of numbers.


Symbolic Representation: Introduce the symbolic representation of the numbers by associating them with the Golden Beads. Show the written form of the numbers (e.g., 352) and explain how each digit corresponds to a specific place value. Connect this representation to the concrete material the students have been working with.


Operations and Exchange: Once the child grasps the concept of place value, you can introduce simple addition and subtraction using the Golden Beads. Start with basic examples that do not require regrouping (e.g., 23 + 15). Then, gradually progress to more complex problems that involve regrouping (e.g., 79 + 46).


The value of the Golden Beads material lies in its ability to make abstract concepts more concrete and accessible to young learners. By physically manipulating the beads and visually observing their arrangement, children develop a deep understanding of place value and the relationship between different digits in a number. This foundation sets the stage for more advanced mathematical concepts in the future.

Furthermore, the hands-on nature of the Golden Beads material engages multiple senses, enhancing the learning experience and promoting active participation. It supports the Montessori principle of allowing children to learn at their own pace through self-discovery and exploration, fostering a sense of independence and confidence in their mathematical abilities.

Overall, the Montessori Golden Beads material is a powerful tool for teaching counting at an early age, helping children develop a solid understanding of numbers, place value, and the decimal system.


Throughout my extensive 22-year career in Montessori education, I have been fortunate to witness children joyfully embark on their learning journey by exploring these materials. Counting, far from being dry and monotonous, becomes an engaging and exciting experience for them.


 

Food for Thought:

Just imagine the tremendous advantage our children would have in learning Math if all kindergartens in Singapore embraced the Montessori method for teaching mathematical concepts.


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