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Students are introduced to numbers at age 3, learning
the numbers and number symbols one to ten, the red and blue rods,
sandpaper numerals, association of number rods and numerals, spindle
boxes, cards and counters, counting, sight recognition, concept
of odd and even. Introduction to the decimal system begins at age
3 or 4. Units, tens, hundreds, thousands are represented by specially
prepared concrete learning materials that show the decimal hierarchy
in three-dimensional form. The objective is to develop the concept
first.
- Linear counting
- Four basic mathematical operations, addition,
subtraction, division, and multiplication using the Golden Beads
- Concepts of dynamic addition and subtraction
- Memorization of the basic math facts
- Stamp Game, the Small and Large Bead Frames
for the basic mathematical operations
- Skip counting with the chains of the squares
of the numbers zero to ten
- Skip counting with the chains of the cubes
of the numbers zero to ten
- Beginning the "passage to abstraction,"
the child begins to solve problems with paper and pencil while
working with the concrete materials
- Long multiplication and division through
concrete work with the bead and cube materials
- Multiplication Checkerboard. Usually age
7-8
- Long division" through highly advanced
manipulative materials, Test Tube Division. Typically by age 7-8
- Solving problems involving parentheses
- Introduction to problems involving tens
of thousands, hundreds of thousands, and millions
- The study of fractions begins with very
concrete materials
- Study of decimal fractions: all four mathematical
operations
- Solving word problems, and determining
arithmetic procedures in real situations becomes a major focus
- Money, interest, percentage: concrete to
abstract; real life problems
- Computing the squares and cubes of numbers
- Calculating square and cube roots: from
concrete to abstract
- The history of mathematics and its application
in science, engineering, technology and economics
- Reinforcing application of all mathematical
skills to practical problems
- Data gathering, graph reading and preparation,
and statistical analysis
- Sensorial exploration of plane and solid
figures, children learn to recognize the names and basic shapes
of plane and solid geometry
- More advanced study of the nomenclature,
characteristics, measurement and drawing of the geometric shapes
and concepts such as points, line, angle, surface, solid, properties
of triangles, circles, etc. Continues through age 12 in repeated
cycles
- Congruence, similarity, equality, and equivalence
- Applications of geometry
- Calculation of area and volume
- Theorem of Pythagoras
Math
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Practical
Life Skills
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Reading
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Mathematics
History
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Supplementary
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