From Concrete Examples to Abstract Thinking

Abstract thinking through play starts with meaning

The equation’s answer is A = 2. Knowing an addition fact and interpreting a symbol are related but different tasks. An unfamiliar notation does not by itself show that a child lacks ability or has a developmental problem.

The source compares an equation with picture-based early mathematics, such as two oranges plus two oranges. Concrete objects or drawings can make a quantity visible while the teacher explains how that quantity connects with a number or symbol.

Move between objects, pictures and symbols

The original explains its argument through Piaget’s developmental-stage framework and mentions around age eleven. This is historical theoretical context, not a strict rule that younger children cannot work with symbols or that all children suddenly reason the same way at eleven.

A useful activity can start with something the learner can manipulate, then ask them to describe what happens and represent the idea. Check what the learner understands about the task instead of deciding readiness from age alone.

Board games, card games, puzzles, jigsaws and construction sets appear in the article because they can involve a sequence, planning or imagining an arrangement before making it. The amount of explanation and support can change with the task.

Programming makes a planned instruction observable

The archive uses LEGO MINDSTORMS as an example: a learner creates instructions, runs a model and observes its response. Code is a representation, while the robot’s movement gives something concrete to compare with the intended instruction.

The source mentions a seven-year-old programming as an example from its setting. It is not an entry-age promise for all children, nor evidence that one toy makes learners progress faster than their peers.

If the child is interested, ask the team how instructions are introduced, what support is available and which platform is used now. Confirm the current trial arrangement, schedule and fees; the original free-trial invitation is historical.

Original photographs and artwork

These images are retained from the original page as examples of published learning activities and programme information. Some contain Thai text or historical dates. They do not guarantee the same result for a new learner. Confirm current programmes with the team.

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Contact and related pages

Tell the team about the learner or organisation, relevant experience and the intended learning purpose. Confirm the current programme, equipment, availability, schedule and fees before booking.

Contact Raise Genius School service overview

• From STEM to STEAM: Connecting Knowledge with New Ideas
• Why Do Some Children Enjoy Learning during the Holidays?
• Choose Toys around Age, Interests and Readiness
• Learn a Little, Return to It and Make Practice Manageable
• Pretend Play: Build a Story with Flexible Materials
• Help Children Explore Their Interests through Activities
• Find Shared Activities for Siblings of Different Ages
• Encourage Children to Try, Make and Recognise Progress
• Practise Analytical Thinking through Questions and Making

Course-selection guide · Robotics portfolio projects · Competition preparation · Team advice and coaching · Course guide · General FAQ

Related services: School robotics camps · STEM activity stations

Related learning: Raise Maker Arduino · micro:bit robotics · IOTBot & AI · Portfolio preparation · Camp proposal · Accompanying teachers

Related reference: NAEYC: development and learning principles