Figure Display Device Equation Deformation for Learning
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Solution Overview
Problem
Conventional figure display devices struggle to effectively convey the corresponding relationship between displayed figures and formulas input by users, leading to a diminished learning effect.
Innovation Solution
A figure display device that includes a figure display section, an assumed equation input section, and a figure assumed portion discrimination display control section, which deforms corresponding portions of the assumed equation to match the figure obtained by the equation, illustrating the content represented by the equation with discrimination.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If conventional figure display devices display figures and text separately in distinct areas, then the display layout is simple and easy to implement, but the corresponding relationship between the displayed figure and the formula in the text input by the user is difficult to understand
Solution Approach 1:
The patent applies dimensionality change by transitioning from separate 2D display areas (figure area and text area) to a superimposed display where text formulas are positioned directly over corresponding figure portions. This adds a spatial dimension relationship, allowing users to see both the figure and its corresponding formula simultaneously at the same location, thereby clearly conveying the correspondence between them.
Solution Approach 2:
The patent uses figure portion discrimination display (such as highlighting or marking specific portions of the figure) as an intermediary to connect the text formula with its corresponding figure element. This intermediary visual indication helps users understand the relationship between the abstract formula and the concrete geometric figure portion.
2Reliability
If conventional figure display devices provide basic figure display and text input functions, then the device structure is simple, but the learning effect is small due to poor correspondence understanding
Solution Approach 1:
The patent applies preliminary action by automatically positioning and displaying the input formula at the corresponding figure portion before the user completes their input. The system anticipates the user's intent to annotate or reference a specific figure element and proactively displays the formula in the correct location, enhancing learning effectiveness without requiring complex post-processing.
3Ease of operation
If conventional devices display figures and formulas in separate areas, then the display implementation is straightforward, but users cannot easily understand which figure portion corresponds to which formula
Solution Approach 1:
The patent merges the figure display and formula text display into the same spatial location by superimposing the text over the corresponding figure portion. This combination allows users to see both the visual figure and its mathematical description simultaneously at the same position, making it easy to understand which formula corresponds to which figure element.
Data Source
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AI summary
A figure display device, a figure display method and a storage medium having a figure display program are described. According to one implementation, a figure display device includes a figure display section; an assumed equation input section; and a figure assumed portion discrimination display control section. The figure display section displays a figure. The assumed equation input section is used to input an assumed equation of the figure according to user operation. The figure assumed portion discrimination display control section deforms a corresponding portion of the assumed equation in the figure to match a figure portion obtained by the assumed equation, and illustrates a content represented by the assumed equation in the figure displayed with discrimination.