Sequence Board With Engraving Cubes For Visual Math Learning
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Solution Overview
Problem
Current methods for teaching mathematics often rely on memorization of algorithms and formulas, making it difficult for learners to understand the logical principles behind mathematical problems, especially when faced with new phenomena.
Innovation Solution
A method and device using a sequence board with engraving and embossing cubes to visually represent number sequences, allowing users to intuitively recognize and understand mathematical problem-solving processes and principles by categorizing and arranging cubes according to mathematical operators.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If mathematical problems are solved by memorizing algorithms and formulas, then problem-solving speed is improved, but understanding of logical principles deteriorates
Solution Approach 1:
The patent introduces physical blocks as intermediary objects that mediate between the mathematical problem and the learner's understanding. These blocks serve as a tangible representation that bridges the gap between abstract algorithms and concrete comprehension, allowing learners to manipulate physical objects to understand mathematical relationships without relying solely on memorized procedures.
Solution Approach 2:
The patent creates a physical copy or representation of mathematical concepts through blocks that can be manipulated. Instead of directly presenting abstract algorithms, the system provides a tangible model that copies the essence of mathematical relationships, enabling learners to explore and understand the logical principles behind the problems through hands-on interaction with the block representations.
2Productivity
If mathematical algorithms are memorized without understanding, then computation efficiency is improved, but ability to solve new problems deteriorates
Solution Approach 1:
The patent segments mathematical problems into discrete components represented by individual blocks. This segmentation allows learners to break down complex problems into manageable parts, manipulate each part independently, and recombine them in different ways to solve new problems. The block-based approach makes the structure of mathematical problems explicit, enhancing both computation efficiency and adaptability to new situations.
Solution Approach 2:
The patent introduces dynamic manipulation of blocks that can be moved, combined, and reconfigured according to different problem requirements. This dynamic interaction allows learners to adapt the same basic blocks to various mathematical problems, fostering versatility and the ability to solve new problems while maintaining computational efficiency through practiced manipulation skills.
3Loss of information
If visual representation tools are introduced to improve understanding, then logical understanding is improved, but device complexity increases
Solution Approach 1:
The patent employs simple, inexpensive physical blocks that can be easily manufactured and manipulated. These basic blocks serve as effective visual representation tools without introducing complex mechanisms. The simplicity of the blocks ensures that the system remains accessible and easy to use while still providing powerful visual representations that enhance logical understanding of mathematical problems.
Data Source
AI summary
The present invention relates to a device, a teaching aid, and a platform for computing mathematics, and the method for providing the same, which especially provides a method for making the meanings of mathematical equations intuitively and stereoscopically understood by computing various mathematics and expressing their processes with engraving objects (e.g., cube, block, etc.), a computing device/teaching aid for providing the method and the platform for providing various services through a mathematical computation using engraving objects. In particular, the teaching aid for computing mathematics provides a sequence board and a plurality of cubes which are arranged and rearranged on the sequence board, so that various mathematical problems and computing processes for the mathematical problems can be visually expressed in three-dimension and a user can intuitively understand the principles and solutions of the mathematical problems.


