The content of the invention
In view of the above problems, it is an object of the invention to provide a kind of virtual paper recommendation side towards individualized learning scheme
Method, it is difficult to study condition for single student to solve traditional paper, the problem of recommending optimal personalized paper.
Virtual paper provided by the invention towards individualized learning scheme recommends method, including:
Step S1:Preset main degree-of-difficulty factor;Wherein, main degree-of-difficulty factor is higher than the learning adjustment difficulty of student at this stage;
Step S2:A set of volume percentage is generated according to wheel disc back-and-forth method gradient decline distribution is presented around main degree-of-difficulty factor
Virtual paper;Wherein, step S2 includes:
Step S21:The volume for 10 degree-of-difficulty factors for including main degree-of-difficulty factor area percentage shared in wheel disc is set
Than;Wherein, the selected probability P (i) of the volume of each degree-of-difficulty factor surrounds left and right two of the main degree-of-difficulty factor to main degree-of-difficulty factor
Side declines distribution in uniform gradient;
Step S22:The volume that the examination question of 10 degree-of-difficulty factors in virtual paper is produced by wheel disc back-and-forth method is distributed;
Step S23:Volume according to the examination question of 10 degree-of-difficulty factors caused by step S22, which is distributed from test item bank, extracts examination
Topic forms virtual paper;
Step S3:Virtual paper is combined with the DNA information of student to obtain theoretical score;
Wherein, DNA information is the three-dimensional tensor being made up of knowledge point, degree of understanding coefficient and time, and knowledge point is to institute
The high level overview of category section purpose core content;Degree of understanding coefficient refers to after student completes the exercise of certain knowledge point, and this is known
Know the description of the overall grasp situation of point;Time refer to student to the degree of understanding coefficient of knowledge point from a upper grade rise to
The time span of next grade;And
Degree of understanding coefficient of the student to the knowledge point is obtained by the knowledge point of per pass examination question in virtual paper, under utilization
State formula and obtain theoretical score of the student to virtual paper:
In above formula, Score is theoretical score of the student to the virtual paper;STgFor the full marks of g problems, wherein g
=1 ..., n;UDiKnowledge point i degree of understanding coefficient is inscribed to g for the student;
Step S4:Virtual paper of all theoretical scores in 60 to 80 points is saved as virtual Pipers database;
Step S5:Virtual paper is extracted from virtual Pipers database and recommends student.
Compared with prior art, the virtual paper provided by the invention towards individualized learning scheme recommends method, passes through
Wheel disc back-and-forth method produces virtual paper, and look-ahead goes out the theoretical score of student's paper under certain difficulty, when with this theoretical score
For reference target, when difficult point and weakness for student recommend the paper of difficulty successively, just can rationally be adjusted by its performance
Whole study plan, reach the purpose for stepping up Students ' Learning achievement.
Embodiment
Virtual paper provided by the invention towards individualized learning scheme recommends method, comprises the following steps:
Step S1:Preset main degree-of-difficulty factor.
Default main degree-of-difficulty factor should be higher than that the learning adjustment difficulty of student at this stage.
Step S2:A set of volume percentage is generated according to wheel disc back-and-forth method gradient decline distribution is presented around main degree-of-difficulty factor
Virtual paper.
Detailed process is as follows:
Step S21:The volume for 10 degree-of-difficulty factors for including main degree-of-difficulty factor area percentage shared in wheel disc is set
Than;Wherein, the selected probability P (i) of the volume of each degree-of-difficulty factor surrounds left and right two of the main degree-of-difficulty factor to main degree-of-difficulty factor
Side declines distribution in uniform gradient.
The present invention sets altogether the volume of 10 degree-of-difficulty factors, and 1 in 10 degree-of-difficulty factors be main degree-of-difficulty factor, residue
9 be other degree-of-difficulty factors, the probability that the volumes of 9 other degree-of-difficulty factors is selected in virtual paper, be designated as P (i), its
In, i=1 ..., 10, here obvious Sum (P)=1, P (i) around the right and left from main degree-of-difficulty factor to main degree-of-difficulty factor in equal
Even gradient declines distribution.
One degree-of-difficulty factor represents the difficulty of a grade.
Such as area percentage can be set to as shown in figure 1, each difficulty system by the virtual paper that main degree-of-difficulty factor is 5
Several probability distribution are:
Step S22:The volume that the examination question of 10 degree-of-difficulty factors in virtual paper is produced by wheel disc back-and-forth method is distributed.
Total volume of virtual paper can be with self-defined.
Such as:Total volume of virtual paper is 25 problems, toward the wheel disc for divided sector in throw away dice, throw away 25 every time,
Wheel disc is motionless, and the region that dice is fallen is selection result.Experiment 1000 times is repeated, draws end product.Obviously, sector is bigger,
The probability chosen by dice is bigger.That is, the examination question amount of difficulty 5 is maximum in virtual paper under difficulty 5, next to that difficult
5 neighbouring difficulty 4 and 6 are spent, difficulty 10 volume farthest from difficulty 5 is minimum, i.e., the examination question of difficulty 10 farthest from difficulty 5 is to learning
The raw help learnt at present is minimum.
Step S23:Volume according to the examination question of 10 degree-of-difficulty factors caused by step S22, which is distributed from test item bank, extracts examination
Topic forms virtual paper.
When extracting examination question, the examination question under same difficulty is randomly selected, and can be attempted all with the method traversal of permutation and combination
The possibility of examination question combination.
Step S3:Virtual paper is combined with the DNA information of student to obtain theoretical score.
The DNA information of student is the three-dimensional tensor being made up of knowledge point, degree of understanding coefficient and time, and knowledge point is subordinated to
Subject, it is, and high level overview to section purpose core content subdivided to section's purpose;
Degree of understanding coefficient refers to after student completes the exercise of certain knowledge point, to the overall grasp situation of this knowledge point
Description, degree of understanding coefficient utilize big data analytical technology, pass through COMPREHENSIVE CALCULATING knowledge point exercise accuracy and deadline
The ratio for accounting for the stipulated time is drawn;Time refers to that student is risen to next to the degree of understanding coefficient of knowledge point from a upper grade
The time span of individual grade.
Per pass examination question in virtual paper forms examination question DNA, examination question DNA and student by numbering, knowledge point and degree-of-difficulty factor
DNA information be combined and obtain theoretical score.Specifically, student is obtained to this by the knowledge point of per pass examination question in virtual paper
The degree of understanding coefficient of knowledge point, theoretical score of the student to virtual paper is obtained using following formula:
In above formula, Score is theoretical score of the student to the virtual paper;STgFor the full marks of g problems, wherein g
=1 ..., n;UDiThe degree of understanding coefficient of knowledge point is inscribed to g for the student, i is the knowledge point of g topics.
The degree of understanding coefficient of corresponding knowledge point in the DNA information of student is looked for by the knowledge point of examination question, is inscribed with this
Full marks score be multiplied by theoretical score of the student to i.e. this subject of degree of understanding coefficient of the knowledge point, then the reason of n roads examination question
By the theoretical score of the cumulative i.e. virtual paper of this set of score.
Step S4:Virtual paper of all theoretical scores in 60 to 80 points is saved as virtual Pipers database.
Wherein, paper of the theoretical score below 60 points should be that difficulty is higher for the student, and theoretical score is relatively low;Together
Sample, paper of the theoretical score more than 80 points is easier to student's difficulty, comparatively the paper in the two sections does not possess
Improve the effect of student performance.Therefore, virtual paper of the theoretical score in 60 to 80 points can weigh student to knowledge point
Grasping level.
By virtual paper of the theoretical score in 60 to 80 points be integrated into just can be faster more accurate in a Pipers database realization
Personalized recommendation.
Such as:Zhang San is as follows for the degree of understanding of a set of virtual paper including five problems:
Then Zhang San is scored to the theory of the virtual paper of the set:
The full marks of the virtual paper of the set are 45 points, then it is 30.6/45=68% that Zhang San's score, which accounts for total score ratio,
Then this set examination question belongs to the medium paper of difficulty to Zhang San classmate, is included in the virtual Pipers database of Zhang San.
Step S5:Virtual paper is extracted from virtual Pipers database and recommends student.
When extracting virtual paper, it is contemplated that the factor such as the degree-of-difficulty factor of paper, theoretical score, Distribution of knowledge gists, also may be used
Rational personalized recommendation is carried out automatically according to the weak knowledge point of student.
Step S6:Student performs study according to the virtual paper of recommendation.
Step S7:Update the DNA information of student.
Student accounts for the stipulated time after paper is completed, according to the time that student completes the accuracy of certain topic and completes the topic
Ratio renewal knowledge point degree of understanding coefficient UDi, and record degree of understanding coefficient UD of the student to the topic knowledge pointiRise to
Preceding time and the time after rising to, so as to update the DNA information of student.
The foregoing is only a specific embodiment of the invention, but protection scope of the present invention is not limited thereto, any
Those familiar with the art the invention discloses technical scope in, change or replacement can be readily occurred in, should all be contained
Cover within protection scope of the present invention.Therefore, protection scope of the present invention described should be defined by scope of the claims.