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  2. Chisanbop - Wikipedia

    en.wikipedia.org/wiki/Chisanbop

    36 represented in chisanbop, where four fingers and a thumb are touching the table and the rest of the digits are raised. The three fingers on the left hand represent 10+10+10 = 30; the thumb and one finger on the right hand represent 5+1=6. Counting from 1 to 20 in Chisanbop. Each finger has a value of one, while the thumb has a value of five.

  3. Trachtenberg system - Wikipedia

    en.wikipedia.org/wiki/Trachtenberg_system

    The list below shows a few other methods of calculating, though they may not be entirely mental. Bharati Krishna Tirtha's book "Vedic Mathematics" Mental abacus – As students become used to manipulating the abacus with their fingers, they are typically asked to do calculation by visualizing abacus in their head. Almost all proficient abacus ...

  4. Mental abacus - Wikipedia

    en.wikipedia.org/wiki/Mental_abacus

    The abacus system of mental calculation is a system where users mentally visualize an abacus to carry out arithmetical calculations. [1] No physical abacus is used ...

  5. Soroban - Wikipedia

    en.wikipedia.org/wiki/Soroban

    A suanpan (top) and a soroban (bottom). The two abaci seen here are of standard size and have thirteen rods each. Another variant of soroban. The soroban is composed of an odd number of columns or rods, each having beads: one separate bead having a value of five, called go-dama (五玉, ごだま, "five-bead") and four beads each having a value of one, called ichi-dama (一玉, いちだま ...

  6. Baoding balls - Wikipedia

    en.wikipedia.org/wiki/Baoding_balls

    This requires using a finger, usually the index finger, as a divider. [5] [failed verification] An average user should be able to start with a 45 mm (1.8 in) ball and move up to 60 mm (2.4 in) as their muscles get accustomed to the exercise. Larger Baoding balls between 70 mm and 100 mm (2.8 in to 3.9 in) can be used.

  7. Abacus - Wikipedia

    en.wikipedia.org/wiki/Abacus

    An abacus (pl. abaci or abacuses), also called a counting frame, is a hand-operated calculating tool which was used from ancient times in the ancient Near East, Europe, China, and Russia, until the adoption of the Hindu–Arabic numeral system. [1] An abacus consists of a two-dimensional array of slidable beads (or similar objects). In their ...

  8. Liber Abaci - Wikipedia

    en.wikipedia.org/wiki/Liber_Abaci

    The book describes methods of doing calculations without aid of an abacus, and as Ore (1948) confirms, for centuries after its publication the algorismists (followers of the style of calculation demonstrated in Liber Abaci) remained in conflict with the abacists (traditionalists who continued to use the abacus in conjunction with Roman numerals).

  9. Suanpan - Wikipedia

    en.wikipedia.org/wiki/Suanpan

    The word "abacus" was first mentioned by Xu Yue (160–220) in his book suanshu jiyi (算数记遗), or Notes on Traditions of Arithmetic Methods, in the Han dynasty. As it described, the original abacus had five beads (suan zhu) bunched by a stick in each column, separated by a transverse rod, and arrayed in a wooden rectangle box. One in the ...

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