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 threedimensional 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
78
 Long division" through highly advanced
manipulative materials, Test Tube Division. Typically by age 78
 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
Class Photo Album
Practical
Life Skills
Sensory
Training
Reading
and Language Arts
Mathematics
History
& Geography
Science
Supplementary
Activities
