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Hello everyone,
here are my reflections from Week 4.
This week helped me understand that early mathematics is much more than just counting or naming shapes; it is about a child’s interaction with their environment through sensory and spatial experiences. Geometry should not be limited to identifying shapes but should focus on understanding spatial relationships and exploring properties like the number of corners or whether a line is straight or curved. When children engage in hands-on activities such as observing, building, or using simple materials, abstract ideas become more meaningful and easier to understand. Activities like creating structures or exploring how shapes can be combined and broken apart help develop both physical manipulation skills and logical thinking, which later supports concepts like fractions and area.
In terms of measurement, it is important not to rush children into using standard tools like rulers without first helping them understand the need for measurement. Using non-standard units such as footsteps, blocks, or hand spans allows children to explore basic ideas like longer, shorter, heavier, or lighter in a more natural and developmentally appropriate way. During this process, children may make mistakes, such as leaving gaps between units or not starting from the correct point, but these mistakes actually help them learn why consistency is important. The differences they notice, such as one child’s foot being smaller than another’s, help them understand the need for standard units. By gradually moving from informal exploration to more structured tools, children begin to see math as something meaningful and connected to their everyday experiences rather than just rules to follow. This approach ensures that when children finally use tools like rulers, they truly understand what they are doing and can apply it with confidence.Hello everyone,
Here are my reflections on the Week 3 tasks.
It was really nice to see how Deen explored attributes and patterns. He showed strong observation skills by correctly identifying and counting the blank spaces, and he also understood the difference between a filled box and an empty one. He confidently named shapes like hearts and diamonds, which shows good vocabulary and shape recognition. The most impressive part was when he compared two pictures and explained that even though the shapes were the same, they looked different because their positions had changed. This shows that he is beginning to understand ideas like positioning and arrangement, which are important for early algebraic thinking.
Patterns are very important because they help children understand rules and relationships in math. When children follow simple patterns like red-blue or observe sequences, they start to see that math follows a certain order. For example, when they see four tables with three books each, they begin to understand multiplication like 4 × 3 = 12. By describing, copying, and creating patterns, children are not just playing—they are learning to predict what comes next and explain their thinking. Patterns help them understand repeating rules in the world, which is the base of algebra.
There are many ways children can learn patterns. They can observe colored blocks like red and blue repeating again and again to understand regularity. They can also recognize sound patterns such as clap, jump, stomp and repeat them. Children can identify the repeating part of a pattern, copy it using beads or objects, and extend it further, like continuing a sequence of colors. They can also learn to generalize patterns by adding one more each time, such as 1 block, 2 blocks, 3 blocks, and so on. While doing these activities, teachers can ask questions like what did you observe, what will come next, and what is the rule of the pattern to supHello everyone, my name is Gazia HASSAN and I work as a pre-kg facilitator at Lucent Global Shool,Anantnag,Kashmir.
My understanding of early mathematics has improved a lot through this learning experience. Earlier, I only knew about the CPA method (Concrete–Pictorial–Abstract). I understood that children move from concrete learning to abstract learning, but I did not fully understand how early math is divided into different areas.
After completing the Chrysaellect video tutorials, I learned that early mathematics has five connected strands. Each strand can be introduced in early years through hands-on activities, play, and guided learning. I also learned that mathematics is not taught separately; instead, children learn it through exploration, discussion, and repeated experiences.
In the Algebra strand, I learned that algebraic thinking starts very early. Young children develop this skill by sorting and grouping objects based on color, shape, size, or texture. These activities help children notice patterns, similarities, and differences.
In the Geometry strand, I realized that geometry is not just about naming shapes. It also includes learning about position, direction, and space. Children learn these concepts through movement, body awareness, and words like in, on, under, beside, and between. These ideas can be easily included in daily classroom activities.
The Measurement strand helped me understand that children naturally compare objects. Measurement should be introduced using simple, non-standard units like blocks, hands, or containers. Through real-life experiences, children learn about length, weight, volume, and capacity, and they develop comparison skills and math language such as longer, heavier, more, and less.
In the Data Handling strand, I learned that even young children can collect data. When children sort and group toys or objects, they begin to represent information in a simple way. This helps them develop early skills in organizing and comparing information.
The Number strand gave me the most important insight. I learned that numbers should not be taught directly using numerals. Children should first understand quantity using dot cards, dice, ice-cream sticks, or picture boards. They should begin with small quantities and slowly move to larger ones. Songs and rhymes also help children connect numbers with movement and rhythm.
While learning about the Principles of Counting, I understood common mistakes children make, such as counting the same object twice or skipping objects. These mistakes can be corrected by teaching one-to-one correspondence, where each object matches one counting word. Through cardinality, children learn that the last number counted shows the total number of objects.
