Adjustable demonstration device based on linear algebra teaching
By designing an adjustable linear algebra teaching device, the problem of teachers writing matrices with incorrect rows and columns was solved, thus improving the regularity of matrix writing and the teaching effect.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- HEFEI NORMAL UNIV
- Filing Date
- 2025-04-15
- Publication Date
- 2026-05-15
AI Technical Summary
In teaching linear algebra, teachers often make mistakes when writing matrices, such as misaligning rows and columns, which affects teaching quality and students' understanding.
An adjustable demonstration device was designed, comprising a suction cup, a slide rail, and a U-shaped writing frame. The device enables regular matrix writing through a slider and a locking mechanism, and the slider's movement force is adjusted using a screw cap to ensure the accuracy of matrix writing.
It improves the aesthetics and teaching effectiveness of matrix writing, prevents students from misreading rows and columns, adapts to the different pressure requirements of teachers, and enhances teaching quality.
Smart Images
Figure CN224248216U_ABST
Abstract
Description
Technical Field
[0001] This utility model relates to the field of linear algebra teaching technology, specifically to an adjustable demonstration device for teaching linear algebra. Background Technology
[0002] Linear algebra is an important part of modern mathematics education. However, in current linear algebra teaching methods, writing matrices is an essential step when demonstrating matrix multiplication and addition. But with matrices having many rows and columns, it's difficult for teachers to ensure the matrices are written horizontally or vertically, leading to errors in row or column placement. This can easily cause students to misread the matrices, making it very difficult for them to understand the multiplication demonstration and negatively impacting teaching quality. Therefore, an adjustable demonstration device for linear algebra teaching is needed to address this problem. Utility Model Content
[0003] The purpose of this invention is to provide an adjustable demonstration device for teaching linear algebra, in order to solve the problems mentioned in the background art.
[0004] To achieve the above objectives, this utility model provides the following technical solution: an adjustable demonstration device for teaching linear algebra, comprising suction cups, wherein four suction cups are provided, with two suction cups on the left and right forming a group, and a first slide rail is fixedly provided between each group of suction cups. An auxiliary demonstration mechanism for assisting teachers in writing matrices is provided on the outer surface of the first slide rail. The auxiliary demonstration mechanism includes a first slider, a second slider, and a U-shaped writing frame. A second slide rail is fixedly provided between the first sliders, and a second slider is movably sleeved on the outer surface of the second slide rail. A U-shaped writing frame is fixedly provided on the outer surface of the second slider.
[0005] Preferably, both the first and second sliders are provided with a locking mechanism for positioning and moving the U-shaped writing frame. The locking mechanism includes a slot, a telescopic rod, a first limiting block, and a spring. Both the first and second sliders are hollow inside. The outer surfaces of the first and second slide rails are provided with slots. The middle of the inner side of the first and second sliders is provided with a telescopic rod. The lower end of the telescopic rod is fixedly provided with a first limiting block. The outer surface of the telescopic rod is sleeved with a spring.
[0006] Preferably, both the first slider and the second slider have screw caps screwed into the middle of their upper ends, and the screw caps are fixedly connected to the upper end of the telescopic rod.
[0007] Preferably, the slots are provided in multiple locations and are evenly spaced on the outer surfaces of the first and second slide rails.
[0008] Preferably, the outer surface of the first limiting block is arc-shaped.
[0009] Preferably, a second limiting block is fixedly provided at both ends of the first slide rail and the second slide rail.
[0010] Compared with the prior art, the beneficial effects of this utility model are:
[0011] 1. This utility model improves the teaching of linear algebra. When teachers demonstrate matrix addition and multiplication operations, this device can be used to easily and quickly write neat matrices, avoiding misaligned rows and columns, improving aesthetics, enhancing teaching effectiveness, and preventing students from making mistakes.
[0012] 2. This utility model allows the screw cap to move up and down under the action of the thread by rotating it. When the screw cap moves down, it can squeeze the telescopic rod to contract, thus compressing the spring. This increases the squeezing force required for the arc-shaped limit block to disengage from the slot each time. This allows for adjustment of the trigger force of the first and second sliders, so that different teachers can find the appropriate force to prevent the required movement force from being too light. Male teachers, who are stronger, may find that the first and second sliders start to slide with just a slight touch of the U-shaped writing frame. This improves the usability of the device. Attached Figure Description
[0013] Figure 1 This is a schematic diagram of the overall structure of an adjustable demonstration device for teaching linear algebra according to this utility model.
[0014] Figure 2 This is a side view of an adjustable demonstration device for teaching linear algebra according to this utility model.
[0015] Figure 3 This is a cross-sectional view of an adjustable demonstration device for teaching linear algebra according to this utility model.
[0016] Figure 4 This utility model relates to an adjustable demonstration device for teaching linear algebra. Figure 3 A magnified view of point A in the middle.
[0017] In the diagram: 1. Suction cup; 2. First slide rail; 3. First slider; 4. Second slide rail; 5. Second slider; 6. U-shaped writing frame; 7. Card slot; 8. Telescopic rod; 9. First limit block; 10. Spring; 11. Screw cap; 12. Second limit block. Detailed Implementation
[0018] The technical solutions of the present utility model will be clearly and completely described below with reference to the accompanying drawings of the embodiments. Obviously, the described embodiments are only some embodiments of the present utility model, and not all embodiments. Based on the embodiments of the present utility model, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the protection scope of the present utility model.
[0019] Please see Figure 1-4 This utility model provides a technical solution: an adjustable demonstration device for teaching linear algebra, including suction cups 1, of which four suction cups 1 are provided, with two suction cups 1 on the left and right forming a group. A first slide rail 2 is fixedly provided between each group of suction cups 1. An auxiliary demonstration mechanism for assisting teachers in writing matrices is provided on the outer surface of the first slide rail 2. The auxiliary demonstration mechanism includes a first slider 3, a second slide rail 4, a second slider 5, and a U-shaped writing frame 6. The second slide rail 4 is fixedly provided between the first sliders 3. The second slider 5 is movably sleeved on the outer surface of the second slide rail 4. The U-shaped writing frame 6 is fixedly provided on the outer surface of the second slider 5.
[0020] Both the first slider 3 and the second slider 5 are internally equipped with a locking mechanism for positioning and moving the U-shaped writing frame 6. The locking mechanism includes a slot 7, a telescopic rod 8, a first limiting block 9, and a spring 10. Both the first slider 3 and the second slider 5 are hollow. Slots 7 are formed on the outer surfaces of both the first slide rail 2 and the second slide rail 4. A telescopic rod 8 is located in the middle of the inner side of the first slider 3 and the second slider 5. A first limiting block 9 is fixedly installed at the lower end of the telescopic rod 8. A spring 10 is sleeved on the outer surface of the telescopic rod 8. The first limiting block 9 is positioned in the vertical direction. When slider 3 slides a distance of one slot 7, the arc-shaped first limiting block 9 in the locking mechanism will re-engage inside the slot 7. At this time, the teacher will feel obvious damping, and the device will make a clicking sound. The teacher can then know that the U-shaped writing box 6 has completed the line break operation in the vertical direction. Similarly, in the horizontal direction, when the second slider 5 slides a distance of one slot 7, the arc-shaped first limiting block 9 will also re-engage inside the slot 7. At this time, the teacher can then know that the U-shaped writing box 6 has completed the column break operation in the horizontal direction.
[0021] Both the first slider 3 and the second slider 5 have screw caps 11 screwed into their upper middle parts via threads. The screw caps 11 are fixedly connected to the upper end of the telescopic rod 8. By rotating the screw caps 11, the screw caps 11 can move up and down under the action of the threads. When the screw caps 11 move down, they can compress the telescopic rod 8, causing the spring 10 to be compressed. This increases the squeezing force required for the arc-shaped first limiting block 9 to disengage from the slot 7 each time. This allows for adjustment of the trigger force of the movement of the first slider 3 and the second slider 5. This allows different teachers to find the appropriate force to prevent the required force from being too light. Male teachers, who are stronger, may experience the first slider 3 and the second slider 5 sliding with just a slight touch of the U-shaped writing frame 6. This improves the usability of the device.
[0022] Multiple slots 7 are provided and are evenly spaced on the outer surfaces of the first slide rail 2 and the second slide rail 4. Since the slots 7 are equally spaced, as long as the first slider 3 and the second slider 5 move from one slot 7 to another adjacent slot 7 each time, the movement distance of the U-shaped writing frame 6 can be guaranteed to be equal each time, whether in the vertical or horizontal direction. In this way, the teacher only needs to write the numbers of the matrix in the U-shaped writing frame 6 each time to write the entire matrix neatly, avoid misalignment, improve aesthetics, enhance teaching effectiveness, and prevent students from making mistakes.
[0023] The outer surface of the first limiting block 9 is arc-shaped. When the arc-shaped first limiting block 9 is inserted into the slot 7, it does not actually get stuck. Since the surface of the first limiting block 9 is arc-shaped, at this time, only a little force is needed to push the first slider 3 and the second slider 5 to move, which will cause the telescopic rod 8 and the spring 10 to retract and squeeze the first limiting block 9 out of the slot 7. At this time, the first slider 3 and the second slider 5 can move again.
[0024] Both ends of the first slide rail 2 and the second slide rail 4 are fixedly provided with second limiting blocks 12. The second limiting blocks 12 can prevent the first slider 3 and the second slider 5 from detaching from the surface of the first slide rail 2 and the second slide rail 4.
[0025] Working principle: When using this device, the entire device is attached to the template position on the blackboard using suction cup 1. Then, when the teacher writes the matrix, each number is written inside the U-shaped writing frame 6, such as... Figure 1As shown, the U-shaped writing box 6 is currently positioned at the first row and first column of the matrix. After writing this number, the next number can be freely selected as needed. If it is the number in the first row and second column, the second slider 5 can be pushed to the right by one slot 7, thus completing the column switching operation. If it is the number in the second row and first column, the first slider 3 can be pushed down by one slot 7, thus completing the line switching operation. Each time the first slider 3 or the second slider 5 moves one slot 7, the first limit block 9 will re-engage in the slot 7. At this time, the teacher will feel a noticeable damping, and the device will make a clicking sound. The teacher will then know that the U-shaped writing box 6 has completed the column switching or line switching operation. By writing in this manner, a neat matrix can be written easily and quickly, avoiding misaligned rows and columns, improving aesthetics, enhancing teaching effectiveness, and preventing students from making mistakes.
[0026] Furthermore, when using this device, rotating the screw cap 11 allows it to move up and down due to the thread. When the screw cap 11 moves down, it compresses the telescopic rod 8, thus compressing the spring 10. This increases the squeezing force required for the arc-shaped first limiting block 9 to disengage from the slot 7 each time. This allows for adjustment of the trigger force of the first slider 3 and the second slider 5, enabling different teachers to find the appropriate force to prevent the required movement from being too light. Male teachers, who are stronger, may experience the first slider 3 and the second slider 5 sliding with just a slight touch to the U-shaped writing frame 6, thereby improving the effectiveness of the device.
[0027] It should be noted that, in this document, relational terms such as "first" and "second" are used only to distinguish one entity or operation from another, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Furthermore, the terms "comprising," "including," or any other variations thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements includes not only those elements but also other elements not expressly listed, or elements inherent to such process, method, article, or apparatus.
[0028] Although embodiments of the present invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions and alterations can be made to these embodiments without departing from the principles and spirit of the present invention, the scope of which is defined by the appended claims and their equivalents.
Claims
1. An adjustable demonstration device for teaching linear algebra, comprising a suction cup (1), characterized in that: The suction cups (1) are provided in four parts, and the two suction cups (1) on the left and right are grouped together. A first slide rail (2) is fixedly provided between each group of suction cups (1). An auxiliary demonstration mechanism is provided on the outer surface of the first slide rail (2). The auxiliary demonstration mechanism includes a first slider (3), a second slider (5), and a U-shaped writing frame (6). A second slide rail (4) is fixedly provided between the first sliders (3). A second slider (5) is movably sleeved on the outer surface of the second slide rail (4). A U-shaped writing frame (6) is fixedly provided on the outer surface of the second slider (5).
2. The adjustable demonstration device for teaching linear algebra according to claim 1, characterized in that: Both the first slider (3) and the second slider (5) are equipped with a locking mechanism for positioning and moving the U-shaped writing frame (6). The locking mechanism includes a slot (7), a telescopic rod (8), a first limiting block (9), and a spring (10). Both the first slider (3) and the second slider (5) are hollow inside. The outer surfaces of the first slide rail (2) and the second slide rail (4) are provided with slots (7). The middle inner side of the first slider (3) and the second slider (5) is provided with a telescopic rod (8). The lower end of the telescopic rod (8) is fixedly provided with a first limiting block (9). The outer surface of the telescopic rod (8) is sleeved with a spring (10).
3. The adjustable demonstration device for teaching linear algebra according to claim 2, characterized in that: Both the first slider (3) and the second slider (5) have screw caps (11) screwed into the middle of their upper ends by a threaded connection. The screw caps (11) are fixedly connected to the upper end of the telescopic rod (8).
4. The adjustable demonstration device for teaching linear algebra according to claim 2, characterized in that: The slots (7) are provided in multiple places and are evenly spaced on the outer surfaces of the first slide rail (2) and the second slide rail (4).
5. The adjustable demonstration device for teaching linear algebra according to claim 2, characterized in that: The outer surface of the first limiting block (9) is arc-shaped.
6. The adjustable demonstration device for teaching linear algebra according to claim 1, characterized in that: The first slide rail (2) and the second slide rail (4) are both fixedly provided with second limiting blocks (12).