Teaching system based on mathematical thinking
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-02-19
- Publication Date
- 2026-04-03
Smart Images

Figure CN121789527A_ABST
Abstract
Description
Technical Field
[0001] This invention belongs to the field of teaching system technology, specifically relating to a teaching system based on mathematical thinking. Background Technology
[0002] Mathematical thinking refers to the thought process of using mathematical perspectives to think about and solve problems. It includes various forms such as logical thinking, visual thinking, abstract thinking, and spatial thinking. Logical thinking involves understanding and reasoning about causal relationships; visual thinking involves understanding mathematical concepts through concrete images or figures; abstract thinking is a high-level generalization and abstraction of mathematical concepts; and spatial thinking involves understanding and imagining spatial relationships.
[0003] The development of mathematical thinking is largely based on the following methods: Extensive math practice: Through numerous exercises, students become familiar with problem-solving approaches and methods for various mathematical problems, cultivating logical reasoning abilities. Learning mathematical theory: Deepening understanding of mathematical concepts and theorems, grasping the underlying logical relationships, and cultivating abstract thinking abilities. Applying mathematics to solve practical problems: Applying mathematical knowledge to real-life problems, cultivating the ability to combine abstract mathematical concepts with concrete problems. Participating in mathematical discussions and exchanges: Discussing mathematical problems with others, sharing problem-solving strategies, broadening perspectives, and cultivating the ability to think about problems from multiple angles.
[0004] The existing teaching process integrates mathematical thinking with the teaching process less, resulting in low teaching efficiency and a weak connection between the teaching content and practical application.
[0005] Based on this, a teaching system based on mathematical thinking is proposed. Summary of the Invention
[0006] The technical problem to be solved by the present invention is to provide a teaching system based on mathematical thinking to address the shortcomings of the prior art and solve the problems mentioned in the background art.
[0007] To solve the above-mentioned technical problems, the technical solution adopted by the present invention is: a teaching system based on mathematical thinking, including a teaching management terminal, a student terminal, a theoretical content module, a practice module, an application module, and an error correction module;
[0008] The teaching management terminal is connected to an administrator terminal and a teacher terminal. The administrator terminal is used by the teaching system administrator to manage the teachers, students, and teaching process of the entire teaching system. The teacher terminal is connected to a theoretical content module, a practice module, and an application module. Teachers publish theoretical knowledge content in the teaching process to the theoretical content module through the teacher terminal. The teacher terminal publishes the practice part that accompanies the theoretical knowledge through the practice module. The application module is used in conjunction with the practice module to complete the actual application simulation process of the practice part.
[0009] The student terminal is used by students for learning, and the student terminal is connected to the theoretical content module, the practice module and the application module by signal.
[0010] During the teaching process, students learn the theoretical knowledge content published in the theoretical content module through the student terminal. After completing the learning of the theoretical knowledge content in the theoretical content module, they successively carry out the synchronous matching exercises in the practice module and the actual application simulation process in the application module. The student terminal is used in conjunction with the practice module and the application module.
[0011] The application module is also connected to a comparison module, which compares the actual application simulation process of the application module with the comparison module. After sorting out the errors, the errors are sent to the error correction module. The error correction module is connected to the student terminal, and the student performs deep learning on the errors recorded in the error correction module through the student terminal.
[0012] As a further explanation of the present invention, the management of teachers and students in the entire teaching system by the administrator in the administrator terminal is based on the management of user login permissions, and at the same time, the login time and duration of teachers and students are managed, which facilitates the statistics and comparison of the participation of teachers and students in the teaching process of the teaching system.
[0013] As a further explanation of the present invention, the teaching system administrator in the administrator terminal manages the teaching process by statistically analyzing the theoretical knowledge content, the practice parts that accompany the theoretical knowledge, and the actual application simulation of the practice parts, and feeding the statistical information back to the teacher terminal, which is beneficial for adjusting the teaching focus and understanding the common mistakes in the teaching process.
[0014] As a further explanation of the present invention, the teaching management terminal and the application module are also connected to a cloud database, and the management terminal information and application information of the teaching system are stored in the cloud database, which is convenient for remote download and use.
[0015] As a further explanation of the present invention, the theoretical content module is published by chapter, and the practice module and application module are published by scenario.
[0016] As a further explanation of the present invention, the error correction module is also connected to the teacher terminal. Teachers in the teaching system can understand the errors in the error correction module during the teaching process through the teacher terminal, and make targeted adjustments to the theoretical knowledge content published in the theoretical content module, thereby facilitating the updating and adjustment of the teaching system.
[0017] As a further explanation of the present invention, the student terminal can freely select parts within the theoretical content module, and the content of the practice module and application module is coordinated with the learning part within the theoretical content module. That is, when the student terminal activates and completes the learning of a part of the chapter content within the theoretical content module, the parts of the practice module and application module that correspond to the activated chapter content within the theoretical content module are also activated and can be used through the student terminal.
[0018] Compared with the prior art, the present invention has the following advantages:
[0019] 1. The teaching management terminal of this invention is connected to an administrator terminal and a teacher terminal. The administrator terminal is used by the teaching system administrator to manage the teachers, students, and teaching process of the entire teaching system. Specifically, the administrator terminal manages user login permissions, login time, and login duration, facilitating the statistical comparison of teacher and student participation during the teaching process. This allows for understanding teacher and student engagement and making adjustments to the teaching system content accordingly. The administrator terminal also manages the teaching process by statistically analyzing the theoretical knowledge content, accompanying exercises, and practical application simulations of the exercises. This statistical information is fed back to the teacher terminal, enabling adjustments to teaching focus and identification of common errors. This facilitates improvements in learning rates, expands the application scenarios of the teaching system, and maximizes its efficiency.
[0020] 2. The teacher terminal in the teaching system of this invention is connected to a theoretical content module, a practice module, and an application module. The teacher publishes theoretical knowledge content during the teaching process to the theoretical content module through the teacher terminal. The teacher terminal publishes the practice parts that accompany the theoretical knowledge through the practice module. The application module is used in conjunction with the practice module to complete the actual application simulation process of the practice part. The student terminal can freely select parts within the theoretical content module. The content of the practice module and the application module are coordinated with the learning parts within the theoretical content module. That is, when a chapter of content in the theoretical content module is activated and completed by the student terminal, the parts of the practice module and the application module that correspond to the activated chapter of content in the theoretical content module are also activated and can be used by the student terminal.
[0021] 3. The application module in this invention is also signal-connected to a comparison module. The comparison module compares the actual application simulation process of the application module, organizes the errors, and sends them to the error correction module. The error correction module is signal-connected to the student terminal, allowing students to perform in-depth learning on the errors recorded in the error correction module through their student terminals. The error correction module is also signal-connected to the teacher terminal, enabling teachers in the teaching system to understand the errors in the error correction module during the teaching process and make targeted adjustments to the theoretical knowledge content published in the theoretical content module. This facilitates the updating and adjustment of the teaching system and is economical and practical. Attached Figure Description
[0022] Figure 1 This is a schematic diagram of the overall principle framework of the present invention.
[0023] Explanation of reference numerals in the attached figures:
[0024] 1-Teaching Management Terminal; 2-Administrator Terminal; 3-Teacher Terminal; 4-Student Terminal; 5-Theoretical Content Module; 6-Practice Module; 7-Application Module; 8-Error Correction Module; 9-Error Correction Module; 10-Cloud Database. Detailed Implementation
[0025] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.
[0026] like Figure 1 As shown, the present invention provides a technical solution: a teaching system based on mathematical thinking, including a teaching management terminal 1, a student terminal 4, a theoretical content module 5, a practice module 6, an application module 7, and an error correction module 8;
[0027] The teaching management terminal 1 is connected to an administrator terminal 2 and a teacher terminal 3. The administrator terminal 2 is used by the teaching system administrator to manage the teachers, students and teaching process of the entire teaching system.
[0028] Specifically, in the administrator terminal 2, the management of teachers and students in the entire teaching system by the teaching system administrator is the management of user login permissions, as well as the management of login time, login duration, and login time of teachers and students. This facilitates the statistical analysis and comparison of the participation of teachers and students during the use of the teaching system, thereby making it easier to understand the participation of teachers and students during the use of the teaching system and to follow up and adjust the content of the teaching system.
[0029] The administrator terminal 2 manages the teaching process by statistically analyzing the theoretical knowledge content, accompanying exercises, and practical application simulations of the exercises. This statistical information is then fed back to the teacher terminal 3. This facilitates adjustments to the teaching focus and an understanding of common errors during the teaching process. Consequently, it enables improvements to the learning rate of the teaching content, expands the application scenarios of the teaching system, and maximizes its efficiency.
[0030] The teacher terminal 3 is connected to a theoretical content module 5, an exercise module 6, and an application module 7. The teacher publishes theoretical knowledge content from the teaching process to the theoretical content module 5 through the teacher terminal 3. The teacher terminal 3 publishes the exercise part that accompanies the theoretical knowledge through the exercise module 6. The application module 7 is used in conjunction with the exercise module 6 to complete the actual application simulation process of the exercise part.
[0031] The theoretical content module 5 is published by chapter, while the practice module 6 and application module 7 are published by scenario.
[0032] The student terminal 4 can freely select parts within the theoretical content module 5. The content of the practice module 6 and the application module 7 is coordinated with the learning part within the theoretical content module 5. That is, when a part of the chapter content within the theoretical content module 5 is activated and completed by the student terminal 4, the parts of the practice module 6 and the application module 7 that correspond to the activated chapter content within the theoretical content module 5 are also activated and can be used through the student terminal 4.
[0033] The student terminal 4 is used by students for learning, and the student terminal 4 is connected to the theoretical content module 5, the practice module 6 and the application module 7 by signal.
[0034] During the teaching process, students learn the theoretical knowledge content published in the theoretical content module 5 through student terminal 4. After completing the learning of the theoretical knowledge content in the theoretical content module 5, they sequentially carry out the synchronous matching exercises in the practice module 6 and the actual application simulation process in the application module 7. The student terminal 4 coordinates the use of the practice module 6 and the application module 7.
[0035] The application module 7 is also connected to a comparison module 8. The comparison module 8 compares the actual application simulation process of the application module 7, and sends the error parts to the error correction module 9 after sorting out the errors. The error correction module 7 is connected to the student terminal. The student performs deep learning on the error parts recorded in the error correction module 9 through the student terminal 4.
[0036] The error correction module 9 is also connected to the teacher terminal 3. Teachers in the teaching system can use the teacher terminal 3 to understand the errors in the error correction module 9 during the teaching process and make targeted adjustments to the theoretical knowledge content published in the theoretical content module 5. This facilitates the updating and adjustment of the teaching system and is economical and practical.
[0037] 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.
[0038] Although embodiments of the 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 invention, the scope of which is defined by the appended claims and their equivalents.
Claims
1. A teaching system based on mathematical thinking, characterized in that: It includes a teaching management terminal (1), a student terminal (4), a theoretical content module (5), a practice module (6), an application module (7), and an error correction module (8); The teaching management terminal (1) is connected to an administrator terminal (2) and a teacher terminal (3). The administrator terminal (2) is used by the teaching system administrator to manage the teachers, students and teaching process of the entire teaching system. The teacher terminal (3) is connected to a theoretical content module (5), a practice module (6) and an application module (7). The teacher publishes theoretical knowledge content in the teaching process to the theoretical content module (5) through the teacher terminal (3). The teacher terminal (3) publishes the practice part that matches the theoretical knowledge through the practice module (6). The application module (7) is used in conjunction with the practice module (6) to complete the actual application simulation process of the practice part. The student terminal (4) is used for student learning and is connected to the theoretical content module (5), the practice module (6) and the application module (7) by signals respectively. During the teaching process, students learn the theoretical knowledge content published in the theoretical content module (5) through the student terminal (4). After the theoretical knowledge content in the theoretical content module (5) is completed, the synchronous matching exercises of the practice module (6) and the actual application simulation process of the application module (7) are carried out in sequence. The student terminal (4) performs matching exercises for the practice module (6) and application module (7). The application module (7) is also connected to a comparison module (8). The comparison module (8) compares the actual application simulation process of the application module (7), sorts out the errors, and sends them to the error correction module (9). The error correction module (7) is connected to the student terminal. The student performs deep learning on the errors recorded in the error correction module (9) through the student terminal (4).
2. The teaching system based on mathematical thinking according to claim 1, characterized in that, The administrator terminal (2) manages the teachers and students of the entire teaching system by managing user login permissions, as well as the login time and duration of teachers and students, so as to facilitate the statistics and comparison of the participation of teachers and students in the teaching process.
3. The teaching system based on mathematical thinking according to claim 1, characterized in that, The teaching system administrator in the administrator terminal (2) manages the teaching process by statistically analyzing the theoretical knowledge content, the practice parts that accompany the theoretical knowledge, and the actual application simulation of the practice parts. The statistical information is then fed back to the teacher terminal (3), which is beneficial for adjusting the teaching focus and understanding the common mistakes in the teaching process.
4. The teaching system based on mathematical thinking according to claim 1, characterized in that, The teaching management terminal (1) and the application module (7) are also connected to the cloud database (10). The cloud database (10) stores the management terminal information and application information of the teaching system in the cloud, which is convenient for remote download and use.
5. The teaching system based on mathematical thinking according to claim 1, characterized in that, The theoretical content module (5) is published by chapter, while the practice module (6) and application module (7) are published by scenario.
6. The teaching system based on mathematical thinking according to claim 1, characterized in that, The error correction module (9) is also connected to the teacher terminal (3). Teachers in the teaching system can understand the errors in the error correction module (9) during the teaching process through the teacher terminal (3) and make targeted adjustments to the theoretical knowledge content published in the theoretical content module (5), which is conducive to the updating and adjustment of the teaching system.
7. The teaching system based on mathematical thinking according to claim 1, characterized in that, The student terminal (4) can freely select parts within the theoretical content module (5). The content of the practice module (6) and application module (7) is coordinated with the learning part within the theoretical content module (5). That is, when the chapter content within the theoretical content module (5) is activated and completed by the student terminal (4), the parts of the practice module (6) and application module (7) that correspond to the activated chapter content within the theoretical content module (5) are also activated and can be used through the student terminal (4).