According to van Hiele Model of Thinking in Geometry, geometry learning has 5 levels: 0 to 4. The zero (0) level is visual. Objects are reviewed based on appearance. First (1) level deals with the analysis of an object's properties and components. Second (2) level is the informal logical deduction of the interrelation of properties. The third (3) level is deductive theorem proving. The fourth (4) level is proving theorems and postulates.
In remote cultures, solving problems in geometry is intuitive in their way of life. The Munduruku people for example have a practical understanding of geometric laws. For students in civilized places however, they perceive geometry to be hard.
Geometry is simple to understand. Always start with the basic shape properties in proving theorems and axioms. Here are some tips to help to make geometry easier to understand:
Understand the problem. Determine what is given and what is needed. Master the basic properties of shapes.
Be open-minded. There are many ways to get to the solution of the problem. Translate the problem with pictures and diagrams as illustration.
Memorize the theorems, postulates and axioms. Use flashcards whenever necessary.
Study the proper usage of a compass, protractors, squares, calculator, and ruler to create realistic diagrams.
Learning does not take place in a day. It takes continuous studying, perseverance and commitment to master the subject.
Translate theoretical problems to practical problems to better understand.
Children have a lower memory recall. It is better to teach them geometry through practical methods. Show a ball and tell them it is round. Give them a block and make them count the sides.
Create a fun yet educating experience and environment for the students/learners. Incorporate geometry in real life experiences.
Access educational online games when there is idle time. Geometry learning is made fun through "Quest for Einstein". This game involves calculations and visual coordination for problem solving.
Solve as many problems as possible for practice.
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