Abacus with Segmented Beads and Sliding Indicators
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Solution Overview
Problem
Traditional abacuses are difficult to learn and use, especially for modern educational standards, as they lack ease of use for calculations and do not effectively handle negative numbers or simplify complex operations like multiplication and division.
Innovation Solution
An improved abacus design with a rectangular frame divided into upper and lower sections, featuring four beads on the upper section and one bead on the lower section, allowing for easy manipulation of even and odd numbers. The abacus includes operational signs for addition, subtraction, multiplication, and division, and allows for the tracking of positive and negative numbers.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of operation
If traditional abacus rules (small friends, big friends) are used for summation and subtraction, then calculations can be performed without considering positive or negative numbers, but the complexity of learning and using the abacus increases and negative numbers cannot be handled
Solution Approach 1:
The patent extracts and eliminates the complex traditional rules (small friends, big friends, and their combinations) from the abacus operation system. By removing these restrictive rules, the abacus can now handle negative numbers and complex operations more flexibly, directly resolving the contradiction between ease of operation and device complexity.
Solution Approach 2:
The improved abacus design enables the same device to perform multiple functions: handling both positive and negative numbers, performing addition, subtraction, multiplication, and division operations. This multi-functionality eliminates the need for separate rule sets for different operations, simplifying the overall system while expanding its capabilities.
2Adaptability or versatility
If traditional abacus designs are used, then historical authenticity is maintained, but adaptability to modern educational standards and handling of negative numbers is insufficient
Solution Approach 1:
The patent introduces dynamic elements to the traditional abacus structure, including movable indicators for positive/negative signs and operation types. These dynamic components allow the abacus to adapt to modern educational requirements while maintaining its core counting function, enabling reliable handling of negative numbers and complex operations.
Solution Approach 2:
The patent introduces intermediary indicators and markers that facilitate the representation and manipulation of negative numbers and complex operations. These intermediary elements act as mediators between the traditional abacus structure and modern mathematical concepts, enabling the device to reliably handle negative numbers while staying true to its historical roots.
3Productivity
If conventional abacus bead configurations are used, then the basic counting function is maintained, but the ability to easily manipulate even and odd numbers and perform complex operations is limited
Solution Approach 1:
The patent segments the bead configuration into distinct groups with specific values assigned to different bead positions. This segmentation allows for easier manipulation of even and odd numbers by targeting specific bead groups, and enables faster execution of complex operations through systematic bead movements, directly improving both productivity and ease of operation.
Solution Approach 2:
The patent changes the parameters of the bead configuration by assigning different values to different bead positions and introducing movable indicators for operations. These parameter changes enable the abacus to easily manipulate even and odd numbers and perform complex operations at high speed, resolving the contradiction between productivity and ease of operation.
Data Source
AI summary
The invention is directed to an improved abacus and related calculating method. The improved abacus and method are adapted to perform mathematical operations including addition, subtraction, multiplication, division and factoring. Additional mathematical operations are performable using described techniques. The improved abacus has a frame divided into an upper and lower section by a horizontal bar. The abacus includes a plurality of rods in which each rod contains four movable beads on the upper section of each rod and one movable bead on the lower section of each rod. The beads in the upper section have a value of two and the bead in the lower section has a value of one. Beads moved toward the bar are counted while those beads away from the bar are not counted. The improved abacus also includes a unit indicator, mathematical operational signs and positive and negative sliding indicators signs on the frame.