Understanding Stages of Representation for Developing Abstract Skills

When helping children develop the ability to think and work with abstract concepts, the sequence in which information or problems are presented is crucial. Learning often progresses through different stages of representation, moving from tangible experiences to more abstract forms.

Exploring Different Representation Sequences

Different educational approaches suggest various sequences for introducing new concepts to children. The primary stages of representation typically include:

• Concrete: Using physical objects or manipulatives that children can touch, feel, and move. This is the most basic level, directly tied to sensory experience.
• Pictorial: Using images, diagrams, or pictures to represent objects or concepts. This stage moves away from physical objects but still provides a visual link to the idea.
• Symbolic: Using abstract symbols like numbers, letters, mathematical signs, or written words. This stage requires the child to understand that a symbol stands for an idea, object, or quantity without a direct physical or visual resemblance.

Why Concrete - Pictorial - Symbolic is Most Appropriate

Developing abstract working skills requires building a strong foundation. The sequence that is most widely accepted as effective for moving towards abstraction starts with what is most understandable and tangible for a child and gradually moves towards the most abstract.

The sequence Concrete - Pictorial - Symbolic follows this logical progression:

1. Concrete: Children first interact with real objects. For example, when learning addition, they might combine two apples and three apples to see they have five. This provides a direct, hands-on experience of the concept.
2. Pictorial: Next, they see pictures representing the objects. Using the same example, they might see pictures of two apples and three apples and count them together to get five. This bridges the gap between the physical objects and abstract symbols.
3. Symbolic: Finally, they are introduced to the abstract symbols, like writing the equation 2 + 3 = 5. By this point, they have a concrete and pictorial understanding of what '2', '3', '5', '+' and '=' represent, which makes the abstract symbols meaningful.

This sequence allows children to build understanding step-by-step. Starting with concrete experiences provides a solid anchor for the concept. Moving to pictorial representation helps them visualize the concept without needing the physical objects. Finally, introducing symbolic representation allows them to work with the concept purely through abstract symbols, which is the goal of developing abstract skills.

Attempting to start with symbolic representation (like just showing '2 + 3 = 5') without a concrete or pictorial foundation can be difficult for children as it lacks connection to their real-world experience. Similarly, skipping the pictorial stage might make the leap from concrete objects directly to abstract symbols too large for some learners.

Therefore, the Concrete - Pictorial - Symbolic sequence is considered the most appropriate pathway to effectively develop children's working skills at an abstract level.