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

VSEngineering 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

Engineering Contradiction:
Improveproblem-solving speedVSAvoidunderstanding of logical principles
Core Design Contradiction:
ProductivityVSLoss of information

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.

Inventive Principle:
Principle #24Intermediary (Mediator)

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.

Inventive Principle:
Principle #26Copying

2Productivity

If mathematical algorithms are memorized without understanding, then computation efficiency is improved, but ability to solve new problems deteriorates

Engineering Contradiction:
Improvecomputation efficiencyVSAvoidability to solve new problems
Core Design Contradiction:
ProductivityVSAdaptability or versatility

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.

Inventive Principle:
Principle #1Segmentation

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.

Inventive Principle:
Principle #15Dynamics

3Loss of information

If visual representation tools are introduced to improve understanding, then logical understanding is improved, but device complexity increases

Engineering Contradiction:
Improvelogical understandingVSAvoidsystem complexity
Core Design Contradiction:
Loss of informationVSDevice complexity

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.

Inventive Principle:
Principle #27Cheap short-living objects (Disposable)

Data Source

PatentUS10672296B2Device, teaching aid, and platform for computing mathematics, and the method for providing the same
Publication Date: 2020.06.02 EQUALKEY CORP
  • US10672296B2 patent drawing
  • US10672296B2 patent drawing
  • US10672296B2 patent drawing

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.