CN112509404A - Teaching system and teaching method for space geometric thinking process - Google Patents
Teaching system and teaching method for space geometric thinking process Download PDFInfo
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B7/00—Electrically-operated teaching apparatus or devices working with questions and answers
- G09B7/02—Electrically-operated teaching apparatus or devices working with questions and answers of the type wherein the student is expected to construct an answer to the question which is presented or wherein the machine gives an answer to the question presented by a student
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
- G06F16/30—Information retrieval; Database structures therefor; File system structures therefor of unstructured textual data
- G06F16/33—Querying
- G06F16/335—Filtering based on additional data, e.g. user or group profiles
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
- G06F16/30—Information retrieval; Database structures therefor; File system structures therefor of unstructured textual data
- G06F16/35—Clustering; Classification
- G06F16/355—Class or cluster creation or modification
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
- G06F16/30—Information retrieval; Database structures therefor; File system structures therefor of unstructured textual data
- G06F16/36—Creation of semantic tools, e.g. ontology or thesauri
- G06F16/367—Ontology
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
- G06F16/70—Information retrieval; Database structures therefor; File system structures therefor of video data
- G06F16/73—Querying
- G06F16/735—Filtering based on additional data, e.g. user or group profiles
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F16/00—Information retrieval; Database structures therefor; File system structures therefor
- G06F16/70—Information retrieval; Database structures therefor; File system structures therefor of video data
- G06F16/75—Clustering; Classification
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- G—PHYSICS
- G09—EDUCATION; CRYPTOGRAPHY; DISPLAY; ADVERTISING; SEALS
- G09B—EDUCATIONAL OR DEMONSTRATION APPLIANCES; APPLIANCES FOR TEACHING, OR COMMUNICATING WITH, THE BLIND, DEAF OR MUTE; MODELS; PLANETARIA; GLOBES; MAPS; DIAGRAMS
- G09B7/00—Electrically-operated teaching apparatus or devices working with questions and answers
- G09B7/02—Electrically-operated teaching apparatus or devices working with questions and answers of the type wherein the student is expected to construct an answer to the question which is presented or wherein the machine gives an answer to the question presented by a student
- G09B7/04—Electrically-operated teaching apparatus or devices working with questions and answers of the type wherein the student is expected to construct an answer to the question which is presented or wherein the machine gives an answer to the question presented by a student characterised by modifying the teaching programme in response to a wrong answer, e.g. repeating the question, supplying a further explanation
Abstract
The invention discloses a teaching system and a teaching method for a space geometric thinking process, wherein the method comprises the following steps: s1, issuing space geometric test questions to a user, wherein the test questions are preset with corresponding answers, one or more predefined standard question solving steps and knowledge nodes related to the standard question solving steps; s2, acquiring the problem solving step of the user, comparing the problem solving step with the standard problem solving step, and judging that the problem solving is correct if the problem solving step of the user is the same as any standard problem solving step; otherwise, executing S3-S4; s3, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating divergence to obtain knowledge nodes related to the problem solving steps as the knowledge nodes not mastered; and S4, selecting test questions corresponding to the unordled knowledge nodes from the space geometric test question and solution question database, and pushing the test questions to the user. The invention analyzes the reason with problems based on the space geometric thinking process of the user, and improves the teaching quality.
Description
Technical Field
The invention relates to the field of artificial intelligence, in particular to a teaching system and a teaching method for a space geometric thinking process.
Background
With the popularization of internet online education, more and more people choose online learning. At present, all teaching software on the market, especially teaching software in the field of plane geometry, can be mainly classified into three categories:
first, video type: namely, recording the video of the teacher teaching into a DVD or software form;
second, problem set type: copying the questions in the teaching reference book, review data or extracurricular exercise set into a computer to form an question bank;
third, tool type: such as software like "geometric drawing board" to assist teachers in making courseware or drawing geometric figures.
The existing network teaching software is only the derivation of the traditional teacher classroom education and the teaching and assistant material reading and learning generated by using the modern information technology, and does not fundamentally solve the essence of education, namely the exhibition, analysis and evaluation of the thinking process and the training and transmission of the correct thinking process corresponding to the thinking process.
Disclosure of Invention
In order to solve the problems in the prior art, the invention provides a teaching system and a teaching method for a space geometric thinking process, which are used for analyzing the reasons of problems in a targeted manner according to the space geometric thinking process of a user from a self-researched space geometric multi-dimensional knowledge model so as to improve the teaching quality. The technical scheme is as follows:
in one aspect, a teaching system for a spatial geometry thinking process is provided, the spatial geometry comprising a planar geometry and a solid geometry, the teaching system comprising the following modules:
the spatial geometry multi-dimensional solid knowledge model is constructed by decomposing spatial geometry knowledge points into minimum particles, connecting the minimum particles or a plurality of particles as knowledge nodes, and/or connecting the knowledge nodes with the minimum particles or a plurality of knowledge nodes to form new knowledge nodes, wherein the information of the knowledge nodes comprises the description, the properties, the application programs and the application modes of the knowledge nodes, and the knowledge nodes are subjected to node classification;
the space geometric test question and question solving database classifies and stores the space geometric test questions according to the classification of the knowledge nodes in the space geometric multi-dimensional solid knowledge model, and correspondingly stores the answers of each test question, one or more pre-defined standard question solving steps and the knowledge nodes related to the standard question solving steps;
the user problem solving process obtaining and comparing module is used for comparing the problem solving steps of the user with the standard problem solving steps in the space geometric test problem solving database, and if the problem solving steps of the user are the same as any standard problem solving steps, judging that the problem solving of the user is correct; otherwise, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating the divergence;
and the uncontrolled knowledge point recommending module is used for acquiring and comparing the problem solving step which is searched by the user problem solving process and generates divergence, inquiring the knowledge nodes related to the problem solving step from the space geometric test and problem solving database as the uncontrolled knowledge nodes, selecting the test problems corresponding to the uncontrolled knowledge nodes from the space geometric test and problem solving database according to the uncontrolled knowledge nodes, and pushing the test problems to the user.
The teaching system for the space geometric thinking process further comprises a space geometric condition property library, wherein the space geometric condition property is stored in an inheritance mode, and the father type space geometric condition property has general attributes of geometric conditions.
Further, the user question solving process obtaining and comparing module is further used for verifying whether the user correctly solves the pushed test questions corresponding to the uncontrolled knowledge nodes, if the user incorrectly solves the pushed test questions corresponding to the uncontrolled knowledge nodes, the uncontrolled knowledge point recommending module determines the lower-level knowledge nodes of the uncontrolled knowledge nodes through the space geometry multidimensional stereo knowledge model, selects the test questions corresponding to the lower-level knowledge nodes from the space geometry test question and solution database, and pushes the test questions to the user.
Further, if the answer of the test questions corresponding to the lower-level knowledge node is wrong, pushing the test questions corresponding to the lower-level knowledge node;
and if the answer of the test question corresponding to the current knowledge node is wrong and the answer of the test question corresponding to the knowledge node at the lower level is correct, the current knowledge node is a wrong knowledge node, and the unowned knowledge point recommending module pushes a teaching video related to the wrong knowledge node to the user.
Furthermore, the teaching system of the space geometric thinking process further comprises a space geometric video library, wherein the space geometric video library is used for classifying and storing teaching videos according to the classification of knowledge nodes in the space geometric multi-dimensional solid knowledge model, and the teaching videos comprise animation videos and/or teacher lesson recording videos.
Further, the space geometry test questions stored in the space geometry test question and solution database comprise known conditions, evidence solving conditions and graphs; the step of solving the pre-defined standard questions of the stored test questions comprises data items of operations on the known conditions and/or operations on the graphs.
Further, the step of solving the problem of the predefined standard comprises:
if the graph in the test question is not related to the angle obtained by observation, judging whether the graph is a three-dimensional graph or a planar graph, if the graph is the three-dimensional graph, paying attention to the basic quantity calculation and/or equivalent replacement of the volume or the surface area of the graph, and further determining a calculation formula; if the graph is a plane graph, the calculation and/or conversion of the area or the line segment length of the graph is concerned, and a calculation formula is further determined;
if the image in the test question is observed to be related to the angle, whether the image is a regular image or an irregular image is judged, if the image is the regular image, the application property of the image is directly determined, if the image is the irregular image, an auxiliary line is constructed and then the application property of the image is determined, and the auxiliary line comprises a vertical line, a parallel line and an angular bisector.
In another aspect, the present invention provides a method for teaching a spatial geometry thinking process, wherein the spatial geometry comprises a plane geometry and a solid geometry, the method comprising the steps of:
s1, issuing spatial geometric test questions to a user, wherein the spatial geometric test questions are preset with corresponding answers, one or more predefined standard question solving steps and knowledge nodes related to the standard question solving steps;
s2, acquiring the problem solving step of the user, comparing the problem solving step with the standard problem solving step, and if the problem solving step of the user is the same as the problem solving step of any standard, judging that the problem solving of the user is correct; otherwise, executing S3-S4;
s3, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating divergence to obtain knowledge nodes related to the problem solving steps as the knowledge nodes not mastered;
and S4, selecting the test questions corresponding to the unowned knowledge nodes from the space geometric test question and solution database, and pushing the test questions to the user.
Further, after step S4, the method further includes:
and verifying whether the user correctly answers the pushed test questions corresponding to the knowledge nodes which are not mastered, if so, determining the lower-level knowledge nodes of the knowledge nodes which are not mastered, selecting the test questions corresponding to the lower-level knowledge nodes, and pushing the test questions to the user.
The teaching method of the space geometric thinking process further comprises the following steps:
if the answer of the test questions corresponding to the lower-level knowledge node is wrong, pushing the test questions corresponding to the lower-level knowledge node;
and if the answer of the test question corresponding to the current knowledge node is wrong and the answer of the test question corresponding to the knowledge node at the lower level is correct, pushing a teaching video related to the current knowledge node to the user, wherein the teaching video comprises an animation video and/or a teacher lesson recording video.
The technical scheme provided by the invention has the following beneficial effects: based on a self-researched spatial geometry multi-dimensional knowledge model and a reasonably designed problem solving thinking model, deviation points in the user geometric thinking process can be accurately positioned, test questions or teaching videos are purposefully pushed, and the purposes of correcting deviation and strengthening learning are achieved.
Drawings
In order to more clearly illustrate the technical solutions in the embodiments of the present invention, the drawings needed to be used in the description of the embodiments will be briefly introduced below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings based on these drawings without creative efforts.
FIG. 1 is a block diagram of a teaching system for spatial geometric thinking process provided by an embodiment of the present invention;
FIG. 2 is a flow chart of a method for teaching a spatial geometric thinking process according to an embodiment of the present invention;
fig. 3 is a schematic diagram of a model of solving the problem of spatial geometry according to an embodiment of the present invention.
Detailed Description
In order to make the technical solutions of the present invention better understood, the technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
It should be noted that the terms "first," "second," and the like in the description and claims of the present invention and in the drawings described above are used for distinguishing between similar elements and not necessarily for describing a particular sequential or chronological order. It is to be understood that the data so used is interchangeable under appropriate circumstances such that the embodiments of the invention described herein are capable of operation in sequences other than those illustrated or described herein. Furthermore, the terms "comprises," "comprising," and "having," and any variations thereof, are intended to cover a non-exclusive inclusion, such that a process, method, apparatus, article, or device that comprises a list of steps or elements is not necessarily limited to those steps or elements expressly listed, but may include other steps or elements not expressly listed or inherent to such process, method, article, or device.
In one embodiment of the present invention, there is provided a teaching system of a spatial geometry thinking process, the spatial geometry including a planar geometry and a solid geometry, as shown in fig. 1, the teaching system comprising the following modules:
the method comprises the following steps that firstly, a spatial geometric multi-dimensional solid knowledge model is constructed, a spatial geometric knowledge point is decomposed into minimum particles, the minimum particles or a plurality of particles are connected to form knowledge nodes, and/or the knowledge nodes and the minimum particles or a plurality of knowledge nodes are connected to form new knowledge nodes, the information of the knowledge nodes comprises the description, the properties, the application programs and the application modes of the knowledge nodes, and the knowledge nodes are subjected to node classification;
the spatial geometry multi-dimensional solid knowledge model is characterized in that spatial geometry knowledge points are decomposed into minimum particles, wherein the spatial geometry multi-dimensional solid knowledge model is conceptually divided into solid figures and plane figures, the plane figures can be divided into line segments, straight lines, circles, triangles, quadrangles, polygons and the like, the triangles can be decomposed into common triangles and isosceles triangles, and the isosceles triangles can be divided into common isosceles triangles and equilateral triangles; the common attribute of all the solid figures and the plane figures is classification and decomposition in another dimension, such as volume, area, perimeter, angle and the like, and the angle can be divided into an acute angle, a right angle, an obtuse angle, a flat angle and a peripheral angle. The minimum particles can be used as a knowledge node, the connection of the particles can form a new knowledge node, the connection of the knowledge node and the particles can form a new knowledge node again, for example, a common isosceles triangle in the triangle is connected with a right angle in an angle to form an isosceles right triangle, the isosceles right triangle can be connected with an area again to form the knowledge node of the area of the isosceles triangle, and the knowledge node close to the teaching outline in the elementary school is selected as an important node, so that the node classification is realized. The knowledge nodes comprise multi-dimensional contents such as description, properties, application programs, application methods and the like of the knowledge nodes.
A space geometric test question and solution question database, which classifies and stores space geometric test questions according to the classification of knowledge nodes in the space geometric multidimensional stereo knowledge model and correspondingly stores answers of each test question, one or more predefined standard solution question steps and the knowledge nodes related to the standard solution question steps;
the space geometric test question and solution question database is used for storing a large number of space geometric test questions, takes minimum particles and knowledge nodes as the classification of question storage, and stores answers, one or more solution question ideas and steps corresponding to each test question and corresponding auxiliary explanation, wherein the storage of the test questions comprises three parts of known conditions, evidence solving conditions and graphs; one or more problem solving thinking routes of each test question are defined in advance by experts and then input, and all the problem solving thinking are used as judgment basis for user thinking deduction; in addition, the database also stores knowledge points related to corresponding steps in each standard problem solving process, and the steps are completed by experts.
The user problem solving process obtaining and comparing module is used for comparing the problem solving steps of the user with the standard problem solving steps in the space geometric test problem solving database, and if the problem solving steps of the user are the same as any standard problem solving steps, judging that the problem solving of the user is correct; otherwise, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating the divergence;
the user problem solving process obtaining and comparing module compares the user problem solving process with each standard problem solving process respectively; if the user problem solving process is the same as any standard problem solving process, judging that the problem solving of the user is correct; if the user problem solving process is different from any standard problem solving process, matching the user problem solving process with a plurality of standard problem solving processes to obtain at least one specific standard problem solving process with the highest similarity, and comparing the user problem solving process with the specific standard problem solving process; the user problem solving process comprises a plurality of data items, each step comprises problem solving, the operation of the key condition of the problem and the operation of the graph, the specific standard problem solving process comprises the data items, each data item of the user problem solving process is compared with each data item of the specific standard problem solving process in sequence, and if different data items are found, the step of solving the problem by the user is considered to have a problem.
The uncontrolled knowledge point recommending module is used for acquiring and comparing the problem solving step which is found by the user problem solving process and generates divergence, inquiring the knowledge nodes related to the problem solving step from the space geometric test and problem solving database as the uncontrolled knowledge nodes, selecting the test problems corresponding to the uncontrolled knowledge nodes from the space geometric test and problem solving database according to the uncontrolled knowledge nodes, and pushing the test problems to the user;
and finding the problem of the user by the aid of the unconfined knowledge point recommending module according to the user problem solving process, acquiring knowledge nodes related to the step from the space geometry test problem and problem solving database, and taking the knowledge nodes as the knowledge nodes which are not mastered by the corresponding user. And then entering a real-time pushing link, selecting the questions with the same knowledge nodes as the wrong questions by the personalized big data learning engine, and finishing the step of retreating to the real-time pushing link. If the pushed question is correct, the system records data, and enters an intelligent pushing link when the same knowledge point error occurs again; if the question is wrong, entering an intelligent pushing link, analyzing lower-level knowledge points of the knowledge nodes by the system through a space geometric multidimensional stereo knowledge model, pushing related contents, and if a certain lower-level knowledge point of the user is wrong, pushing a lower-level knowledge node downwards again; when all lower-level knowledge nodes are correct and upper-level knowledge nodes are incorrect, the upper-level knowledge nodes are wrong knowledge nodes, learning and exercise strengthening are carried out by pushing related videos of the wrong knowledge nodes, and a series of knowledge nodes are mastered and consolidated. Specifically, the teaching system for the space geometric thinking process further comprises a space geometric video library, wherein the space geometric video library is used for classifying and storing teaching videos according to the classification of knowledge nodes in the space geometric multi-dimensional solid knowledge model, and the teaching videos comprise animation videos and/or teacher lesson recording videos.
In one embodiment of the invention, the teaching system of the spatial geometric thinking process further comprises a spatial geometric condition property library, and the spatial geometric condition property is stored in an inheritance manner, wherein the parent class of spatial geometric condition properties has general attributes of geometric conditions. The space geometry test question database and the solution question database depend on the space geometry multi-dimensional solid knowledge model, knowledge nodes in the model are used as large categories and comprise a property library of the knowledge nodes and a test question and solution question database.
Further, the pre-defined standard problem solving step, i.e. the problem solving thinking model of the space geometry, is shown in fig. 3:
if the graph in the test question is not related to the angle obtained by observation, judging whether the graph is a three-dimensional graph or a planar graph, if the graph is the three-dimensional graph, paying attention to the basic quantity calculation and/or equivalent replacement of the volume or the surface area of the graph, and further determining a calculation formula; if the graph is a plane graph, the calculation and/or conversion of the area or the line segment length of the graph is concerned, and a calculation formula is further determined;
if the image in the test question is observed to be related to the angle, whether the image is a regular image or an irregular image is judged, if the image is the regular image, the application property of the image is directly determined, if the image is the irregular image, an auxiliary line is constructed and then the application property of the image is determined, and the auxiliary line comprises a vertical line, a parallel line and an angular bisector.
It should be noted that: in the teaching system for the space geometric thinking process provided in this embodiment, only the division of the functional modules is used for illustration when the teaching of the space geometric thinking process is performed, and in practical applications, the function distribution can be completed by different functional modules according to needs, that is, the internal structure of the teaching system for the space geometric thinking process is divided into different functional modules to complete all or part of the functions described above.
In another aspect, the present invention provides a method for teaching a spatial geometry thinking process, wherein the spatial geometry comprises a plane geometry and a solid geometry, the method comprising the steps of:
s1, issuing spatial geometric test questions to a user, wherein the spatial geometric test questions are preset with corresponding answers, one or more predefined standard question solving steps and knowledge nodes related to the standard question solving steps;
s2, acquiring the problem solving step of the user, comparing the problem solving step with the standard problem solving step, and if the problem solving step of the user is the same as the problem solving step of any standard, judging that the problem solving of the user is correct; otherwise, executing S3-S4;
s3, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating divergence to obtain knowledge nodes related to the problem solving steps as the knowledge nodes not mastered;
and S4, selecting the test questions corresponding to the unowned knowledge nodes from the space geometric test question and solution database, and pushing the test questions to the user.
Further, after step S4, the method further includes:
and verifying whether the user correctly answers the pushed test questions corresponding to the knowledge nodes which are not mastered, if so, determining the lower-level knowledge nodes of the knowledge nodes which are not mastered, selecting the test questions corresponding to the lower-level knowledge nodes, and pushing the test questions to the user.
The teaching method of the space geometric thinking process further comprises the following steps:
if the answer of the test questions corresponding to the lower-level knowledge node is wrong, pushing the test questions corresponding to the lower-level knowledge node;
and if the answer of the test question corresponding to the current knowledge node is wrong and the answer of the test question corresponding to the knowledge node at the lower level is correct, pushing a teaching video related to the current knowledge node to the user, wherein the teaching video comprises an animation video and/or a teacher lesson recording video.
The embodiment of the teaching method for the spatial geometric thinking process provided in this embodiment and the embodiment of the teaching system for the spatial geometric thinking process provided in the above embodiment belong to the same concept, and the specific implementation process is described in detail in the embodiment of the system.
The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.
Claims (10)
1. Teaching system of a process of thinking of a spatial geometry, said spatial geometry comprising a planar geometry and a solid geometry, characterized in that it comprises the following modules:
the spatial geometry multi-dimensional solid knowledge model is constructed by decomposing spatial geometry knowledge points into minimum particles, connecting the minimum particles or a plurality of particles as knowledge nodes, and/or connecting the knowledge nodes with the minimum particles or a plurality of knowledge nodes to form new knowledge nodes, wherein the information of the knowledge nodes comprises the description, the properties, the application programs and the application modes of the knowledge nodes, and the knowledge nodes are subjected to node classification;
the space geometric test question and question solving database classifies and stores the space geometric test questions according to the classification of the knowledge nodes in the space geometric multi-dimensional solid knowledge model, and correspondingly stores the answers of each test question, one or more pre-defined standard question solving steps and the knowledge nodes related to the standard question solving steps;
the user problem solving process obtaining and comparing module is used for comparing the problem solving steps of the user with the standard problem solving steps in the space geometric test problem solving database, and if the problem solving steps of the user are the same as any standard problem solving steps, judging that the problem solving of the user is correct; otherwise, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating the divergence;
and the uncontrolled knowledge point recommending module is used for acquiring and comparing the problem solving step which is searched by the user problem solving process and generates divergence, inquiring the knowledge nodes related to the problem solving step from the space geometric test and problem solving database as the uncontrolled knowledge nodes, selecting the test problems corresponding to the uncontrolled knowledge nodes from the space geometric test and problem solving database according to the uncontrolled knowledge nodes, and pushing the test problems to the user.
2. The system for teaching spatial geometric thinking process as claimed in claim 1, further comprising a spatial geometric conditional property library for storing spatial geometric conditional properties in an inheritance manner, wherein the parent class of spatial geometric conditional properties has general attributes of geometric conditions.
3. The system for teaching spatial geometric thinking process according to claim 1, wherein the user problem solving process obtaining and comparing module is further configured to verify whether the user correctly solves the pushed test questions corresponding to the unmastered knowledge nodes, and if the user incorrectly solves the pushed test questions corresponding to the unmastered knowledge nodes, the unmastered knowledge point recommending module determines the lower-level knowledge nodes of the unmastered knowledge nodes through the spatial geometric multidimensional stereo knowledge model, and selects the test questions corresponding to the lower-level knowledge nodes from the spatial geometric test question and problem solving database, and pushes the test questions to the user.
4. The system for teaching spatial geometrical thinking process according to claim 3, wherein if the answer of the test questions corresponding to the lower knowledge node is wrong, the test questions corresponding to the lower knowledge node are pushed;
and if the answer of the test question corresponding to the current knowledge node is wrong and the answer of the test question corresponding to the knowledge node at the lower level is correct, the current knowledge node is a wrong knowledge node, and the unowned knowledge point recommending module pushes a teaching video related to the wrong knowledge node to the user.
5. The system for teaching the process of spatial geometric thinking according to claim 1, further comprising a spatial geometric video library for classifying and storing teaching videos according to the hierarchy of knowledge nodes in the spatial geometric multi-dimensional solid knowledge model, wherein the teaching videos comprise animation videos and/or teacher lesson recording videos.
6. The system for teaching spatial geometric thinking process according to claim 1, wherein the spatial geometric questions and solution database stores spatial geometric questions including known conditions, proving conditions and figures; the step of solving the pre-defined standard questions of the stored test questions comprises data items of operations on the known conditions and/or operations on the graphs.
7. Teaching system of the process of spatial geometrical thinking according to claim 6, characterized in that the step of pre-defined standard problem solving comprises:
if the graph in the test question is not related to the angle obtained by observation, judging whether the graph is a three-dimensional graph or a planar graph, if the graph is the three-dimensional graph, paying attention to the basic quantity calculation and/or equivalent replacement of the volume or the surface area of the graph, and further determining a calculation formula; if the graph is a plane graph, the calculation and/or conversion of the area or the line segment length of the graph is concerned, and a calculation formula is further determined;
if the image in the test question is observed to be related to the angle, whether the image is a regular image or an irregular image is judged, if the image is the regular image, the application property of the image is directly determined, if the image is the irregular image, an auxiliary line is constructed and then the application property of the image is determined, and the auxiliary line comprises a vertical line, a parallel line and an angular bisector.
8. A method of teaching a process of thinking in a spatial geometry, said spatial geometry comprising a planar geometry and a solid geometry, said method of teaching comprising the steps of:
s1, issuing spatial geometric test questions to a user, wherein the spatial geometric test questions are preset with corresponding answers, one or more predefined standard question solving steps and knowledge nodes related to the standard question solving steps;
s2, acquiring the problem solving step of the user, comparing the problem solving step with the standard problem solving step, and if the problem solving step of the user is the same as the problem solving step of any standard, judging that the problem solving of the user is correct; otherwise, executing S3-S4;
s3, matching a standard problem solving step with the highest similarity to the problem solving steps of the user, and then comparing and searching the problem solving steps generating divergence to obtain knowledge nodes related to the problem solving steps as the knowledge nodes not mastered;
and S4, selecting the test questions corresponding to the unowned knowledge nodes from the space geometric test question and solution database, and pushing the test questions to the user.
9. The method for teaching spatial geometrical thinking process as claimed in claim 8, further comprising, after the step S4:
and verifying whether the user correctly answers the pushed test questions corresponding to the knowledge nodes which are not mastered, if so, determining the lower-level knowledge nodes of the knowledge nodes which are not mastered, selecting the test questions corresponding to the lower-level knowledge nodes, and pushing the test questions to the user.
10. The method for teaching spatial geometric thinking process according to claim 9, further comprising:
if the answer of the test questions corresponding to the lower-level knowledge node is wrong, pushing the test questions corresponding to the lower-level knowledge node;
and if the answer of the test question corresponding to the current knowledge node is wrong and the answer of the test question corresponding to the knowledge node at the lower level is correct, pushing a teaching video related to the current knowledge node to the user, wherein the teaching video comprises an animation video and/or a teacher lesson recording video.
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| Publication number | Priority date | Publication date | Assignee | Title |
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