Mathematics
Number rods to golden beads to the stamp game to the bead frame -- concrete to abstract, building number sense, place value, and operations through hands-on materials.
Numbers 0 to 10
Number rods, sandpaper numerals, spindle boxes, cards and counters, and the memory game -- building one-to-one correspondence and number sense.
The Decimal System
Golden beads and formation of numbers -- understanding place value and the four operations with concrete materials.
Continuation of Counting
Teen boards, tens boards, and linear counting with the 100 and 1,000 chains -- skip counting and pattern recognition.
Memorization Work
Snake games, strip boards, bead bars, and division boards -- committing math facts to memory through concrete exploration.
Passage to Abstraction
Small bead frame, wooden hierarchy material, large bead frame, and racks and tubes -- moving from concrete to abstract.
Fractions
Fraction circles -- exploration, naming, writing, equivalence, and operations with fractions.