CN105654402A - Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension - Google Patents

Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension Download PDF

Info

Publication number
CN105654402A
CN105654402A CN201510999753.2A CN201510999753A CN105654402A CN 105654402 A CN105654402 A CN 105654402A CN 201510999753 A CN201510999753 A CN 201510999753A CN 105654402 A CN105654402 A CN 105654402A
Authority
CN
China
Prior art keywords
examination
time
knowledge point
scoring rate
degree
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201510999753.2A
Other languages
Chinese (zh)
Inventor
李超
邢春晓
张勇
胡镇峰
武永基
常少英
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Tsinghua University
Original Assignee
Tsinghua University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Tsinghua University filed Critical Tsinghua University
Priority to CN201510999753.2A priority Critical patent/CN105654402A/en
Publication of CN105654402A publication Critical patent/CN105654402A/en
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
    • G06Q50/00—Information and communication technology [ICT] specially adapted for implementation of business processes of specific business sectors, e.g. utilities or tourism
    • G06Q50/10—Services
    • G06Q50/20—Education
    • G06Q50/205—Education administration or guidance

Landscapes

  • Business, Economics & Management (AREA)
  • Engineering & Computer Science (AREA)
  • Educational Administration (AREA)
  • Educational Technology (AREA)
  • Strategic Management (AREA)
  • Tourism & Hospitality (AREA)
  • Health & Medical Sciences (AREA)
  • Economics (AREA)
  • General Health & Medical Sciences (AREA)
  • Human Resources & Organizations (AREA)
  • Marketing (AREA)
  • Primary Health Care (AREA)
  • Physics & Mathematics (AREA)
  • General Business, Economics & Management (AREA)
  • General Physics & Mathematics (AREA)
  • Theoretical Computer Science (AREA)
  • Electrically Operated Instructional Devices (AREA)
  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

The invention discloses a learning ability determining method and a learning ability determining system based on time dimension and homogeneous comparison dimension. The learning ability determining method comprises the steps of S1, acquiring the score of each question with a first knowledge point, a total score and a difficulty coefficient in an N-th examination; S2, computing a first ratio between the score of each question and the total score, and a second ratio between the first ratio and the difficulty coefficient; S3, computing summation of the scoring average of the first knowledge point of an (N-1)th examination and all second ratios as the scoring average of the first knowledge point of the N-th examination; S4, computing summation of an ideal scoring average of the first knowledge point of the (N-1)th examination and the derivative of the difficulty coefficient of each question as the ideal scoring average of the first knowledge point of the N-th examination; and S5, computing the ratio between the scoring average of the first knowledge point of the N-th examination and the ideal scoring average of the first knowledge point of the N-th examination as a determination result of the first knowledge point of the N-th examination, wherein N is a natural number which is larger than or equal with 1.

Description

Based on time dimension degree and similar learning capacity decision method and the system comparing dimension degree
Technical field
The invention belongs to teaching evaluation field, it is specifically related to study a kind of based on time dimension degree and similar learning capacity decision method and the system comparing dimension degree.
Background technology
Education assessment is the important topic of educational research always, adopts science, objectively method, and being tested and assessed by students' learning ability is the important aspect of education assessment research work. Students' learning ability is carried out the model of synthetic determination by current educational institution, method has a lot, can see that these methods are all adopt mathematical statistics method, set up Related Mathematical Models, learning capacity, the quality of student is carried out assessment analysis, and these methods can from a certain angle, judge the learning capacity of student in a certain respect.
But, student's study is an incremental process, by certain test of student, student judging, the result obtained understands one-sided, formulism unavoidably, and the result obtained often is difficult to cover the real ability situation of student comprehensively. The decision model that current educational institution adopts and method majority do not have can binding time dimension degree or compare similar, carry out synthetic determination.
Summary of the invention
The technical problem to be solved in the present invention how the learning capacity of student to be evaluated in conjunction with the examination before this examination and time.
For above technical problem, the present invention provides a kind of based on time dimension degree and the similar learning capacity decision method comparing dimension degree, comprising:
S1: obtain in the N time examination, there is the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;
S2: calculate the score of described each examination question and the first ratio of total score, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
S3: calculate the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums the first knowledge point scoring rate as the N time examination;
S4: the first knowledge point desirable scoring rate of sum reciprocal as the N time examination calculating the desirable scoring rate in the first knowledge point of the N-1 time examination and the degree-of-difficulty factor of described each examination question;
S5: calculate the ratio between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
Preferably, described step S3, comprising:
S31: the first knowledge point scoring rate calculating described the N-1 time examination and the modifying factor taken an examination for the N time are long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;
S32: scoring rate and all 2nd ratio sums are revised in the first knowledge point of described the N-1 time examination, as the first knowledge point scoring rate of the N time examination.
Preferably, described step S4, comprising:
S41: the desirable scoring rate in the first knowledge point obtaining described the N-1 time examination and the modifying factor taken an examination for described the N time are long-pending, revise desirable scoring rate using the first knowledge point as the N-1 time examination;
S42: the sum reciprocal of degree-of-difficulty factor that the first knowledge point of described the N-1 time examination is revised desirable scoring rate and described each examination question is as the N time desirable scoring rate in knowledge point number one in the examination.
Preferably, the calculation formula of described the N time modifying factor is as follows:
M n = m T n - T n - 1
Wherein, MnBeing the N time modifying factor, m is setting factor beforehand, TnIt is the time of the N time examination, Tn-1It it is the time of the N-1 time examination.
Preferably, comprising:
S6: the result of determination of expectation as the N time examination calculating the result of determination of all knowledge points in described the N time examination.
On the other hand, the present invention provides a kind of based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, comprising:
First acquisition module, for obtaining in the N time examination, has the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;
First calculating module, for the first ratio of the score and total score that calculate described each examination question, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
2nd calculating module, for calculating the first knowledge point scoring rate that the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums are taken an examination as the N time;
3rd calculating module, for calculating the first knowledge point desirable scoring rate of sum reciprocal as the N time examination of the degree-of-difficulty factor of the desirable scoring rate in the first knowledge point and the described each examination question taken an examination for the N-1 time;
4th calculating module, for the ratio calculated between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
Preferably, described 2nd calculating module also comprises:
First calculating unit, modifying factor for the first knowledge point scoring rate and the N time examination that calculate described the N-1 time examination is long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;
2nd calculating unit, for revising scoring rate and all 2nd ratio sums by the first knowledge point of described the N-1 time examination, using the first knowledge point scoring rate as the N time examination.
Preferably, described 3rd calculating module also comprises:
3rd calculating unit, long-pending for the desirable scoring rate in the first knowledge point and described the N time modifying factor obtaining described the N-1 time examination, revise desirable scoring rate using the first knowledge point as the N-1 time examination;
4th calculating unit, for the first knowledge point of described the N-1 time examination is revised the degree-of-difficulty factor of desirable scoring rate and described each examination question sum reciprocal as the N time knowledge point number one in the examination ideal scoring rate.
Preferably, the calculation formula of described the N time modifying factor is as follows:
M n = m T n - T n - 1
Wherein, MnBeing the N time modifying factor, m is setting factor beforehand, TnIt is the time of the N time examination, Tn-1It it is the time of the N-1 time examination.
Preferably, described results of learning judge that system also comprises:
5th calculating module, for calculating the result of determination of expectation as the N time examination of the result of determination of all knowledge points in described the N time examination.
Provided by the invention based on time dimension degree and similar learning capacity decision method and the system comparing dimension degree, for student to the results of learning of a knowledge point, consider on the grasp situation of this knowledge point and the impact of time factor in the examination of student before this examination, to student to the judgement of the learning capacity of this knowledge point more accurately with comprehensively. In addition, the result of determination of this knowledge point is compared by multiple student, it is possible to the learning capacity of student in colony is judged.
Accompanying drawing explanation
In order to be illustrated more clearly in the embodiment of the present invention or technical scheme of the prior art, it is briefly described to the accompanying drawing used required in embodiment or description of the prior art below, apparently, accompanying drawing in the following describes is some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, it is also possible to obtain other accompanying drawing according to these accompanying drawings.
Fig. 1 be one embodiment of the invention provide based on the schema of time dimension degree and the similar learning capacity decision method comparing dimension degree;
Fig. 2 is the structure block diagram judging system based on time dimension degree and the similar learning capacity comparing dimension degree that one embodiment of the invention provides.
Embodiment
For making the object of the embodiment of the present invention, technical scheme and advantage clearly, below in conjunction with the accompanying drawing in the embodiment of the present invention, technical scheme in the embodiment of the present invention is clearly and completely described, obviously, described embodiment is the present invention's part embodiment, instead of whole embodiments. Based on the embodiment in the present invention, those of ordinary skill in the art, not making other embodiments all obtained under creative work prerequisite, belong to the scope of protection of the invention.
Embodiment 1:
Fig. 1 be the present embodiment provide based on the schema of time dimension degree and the similar learning capacity decision method comparing dimension degree, see Fig. 1, the method, comprising:
S1: obtain in the N time examination, there is the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor (N >=1);
S2: calculate the score of described each examination question and the first ratio of total score, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
S3: calculate the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums the first knowledge point scoring rate as the N time examination;
S4: the first knowledge point desirable scoring rate of sum reciprocal as the N time examination calculating the desirable scoring rate in the first knowledge point of the N-1 time examination and the degree-of-difficulty factor of described each examination question;
S5: calculate the ratio between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Such as, it should be understood that the N time examination and the N-1 time examination are all the examinations in the default time: the examination in 2 years. If once taking an examination front too long apart from the time of this examination, for the learning capacity in this examination, the result once taken an examination before so judges that impact is just very little, it is even possible that ignore.
The knowledge point of the examination question in examination is determined according to the content of examination question, and an examination question associates one or more knowledge point. The score of each examination question is the actual score of examination question, and total score is the total score of this examination question. Degree-of-difficulty factor is generally given by educational institution, and specifically, the score situation of people or the experience according to teacher according to answering this exercise question in the past are estimated, and have reacted the score situation that student group answers this examination question.
First ratio has reacted the scoring rate of examination question, and the 2nd ratio is the business of the first ratio divided by degree-of-difficulty factor gained.
If the N time examination is the examination of the first time in the default time, then first time examination will have the first knowledge point scoring rate of all 2nd ratio sums as first time examination of the examination question of this knowledge point.
If the N time examination is not the examination of the first time in the default time, then the first knowledge point scoring rate all 2nd ratio sums of the N-1 time knowledge point number one in the examination scoring rate and the N time examination taken an examination as the N time.
If the N time examination is the examination of the first time in the default time, then calculate the desirable scoring rate that the sum reciprocal of the degree-of-difficulty factor of each examination question associated with the first knowledge point is taken an examination as first time.
If the N time examination is not the examination of the first time in the default time, then the desirable scoring rate that the sum reciprocal calculating the degree-of-difficulty factor associating each examination question with the first knowledge point of taking an examination for the N time and the desirable scoring rate sum taken an examination for the N-1 time are taken an examination as the N time.
Calculate the ratio between the first knowledge point scoring rate of the N time examination and the desirable scoring rate of the N time examination, using the result of determination of described first knowledge point as the N time examination.
Similarly, what this learning capacity decision method can be equal to replaces to following steps:
Obtain in the N time examination, there is the score of each examination question of the first knowledge point, total score and target degree-of-difficulty factor; Wherein target degree-of-difficulty factor equals the degree-of-difficulty factor that 1 subtracts examination question;
Calculate the score of each examination question and the first ratio of total score, and the product of described target degree-of-difficulty factor and described first ratio;
Calculate the N-1 time knowledge point number one in the examination scoring rate and all product sums the first knowledge point scoring rate as the N time examination;
The desirable scoring rate that the desirable scoring rate sum of the target degree-of-difficulty factor sum and the N-1 time examination that calculate each examination question is taken an examination as the N time;
Calculate the ratio between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate of described the N time examination, using the result of determination of described first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
Based on time dimension degree and the similar learning capacity decision method comparing dimension degree, the inverse of the degree-of-difficulty factor in original decision method should be replaced to target degree-of-difficulty factor. Owing to the inverse of degree-of-difficulty factor reduces along with the increase of degree-of-difficulty factor, also reducing along with the increase of degree-of-difficulty factor of target degree-of-difficulty factor, decision method with original is the same in this way, all can be used for the judgement to learning capacity.
The result of determination of all examinations in student's for some time is contrasted, has reacted student's learning capacity situation during this period of time.The result of determination of all examinations in a student group for some time is carried out similar comparison, reacts this student learning capacity during this period of time. With, in once examination, the result of determination of different student contrasts, the different student learning capacity in section at one time will be reacted.
Learning capacity decision method provided by the invention, for student to the results of learning of a certain knowledge point, consider student before this examination, in examination to the grasp situation of this knowledge point and the impact of time factor, made evaluation result more accurately and comprehensively.
Embodiment 2:
The present embodiment is on the basis of embodiment 1, and step S3, comprising:
S31: the first knowledge point scoring rate calculating described the N-1 time examination and the modifying factor taken an examination for the N time are long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;
S32: scoring rate and all 2nd ratio sums are revised in the first knowledge point of described the N-1 time examination, as the first knowledge point scoring rate of the N time examination.
Step S4, comprising:
S41: the desirable scoring rate in the first knowledge point obtaining described the N-1 time examination and the modifying factor taken an examination for described the N time are long-pending, revise desirable scoring rate using the first knowledge point as the N-1 time examination;
S42: the sum reciprocal of degree-of-difficulty factor that the first knowledge point of described the N-1 time examination is revised desirable scoring rate and described each examination question is as the N time desirable scoring rate in knowledge point number one in the examination.
It should be understood that the N-1 time examination is more long apart from the time of described the N time examination, the N time examination being affected effect more little, the modifying factor of described the N time examination is also more little;
The calculation formula of the N time modifying factor in above step is as follows:
M n = m T n - T n - 1
Wherein, MnBeing the N time modifying factor, m is setting factor beforehand, TnIt is the time of the N time examination, Tn-1It it is the time of the N-1 time examination.
It is to be understood that the calculation formula in the N time examination with the first ratio of an examination question of the first knowledge point is as follows:
d n = x n y n
Wherein, xnIt is the score of the examination question of the N time examination, ynIt is the full marks of this examination question, dnIt is the first ratio of this examination question, represents the scoring rate of the reality of this examination question in the N time examination.
The calculation formula of the 2nd ratio in the N time examination with an examination question of the first knowledge point is as follows:
z n = d n p n
Wherein, dnIt is the first ratio of the examination question in the N time examination with the first knowledge point, pnThe degree-of-difficulty factor that this examination question in the N time examination is corresponding, znIt is the 2nd ratio of this examination question.
The calculation formula of the first knowledge point scoring rate of the N time examination is as follows:
S n = S n - 1 × m T n - T n - 1 + Σ i = 1 j z n , i
Wherein, SnIt is the first knowledge point scoring rate of the N time examination, Sn-1It it is the first knowledge point scoring rate of the N-1 time examination;It is the N time modifying factor, TnIt is the time of the N time examination, Tn-1It is the time of the N-1 time examination, Tn-Tn-1Represent the test time of the N time examination distance the N-1 time examination, if T in calculatingnAnd Tn-1Time unit unified, generally calculating in units of sky; J is in the N time examination, has the examination question sum of the first knowledge point, and i is in the N time examination, and j has i-th in the examination question sum of the first knowledge point, i >=1, j >=1,Being in the N time examination, j has the sum of the 2nd ratio of all examination questions of the first knowledge point.
Setting factor beforehand m be one [0,1] interval in numeral, it can be byThis formula is determined.Wherein, t represents the default time, and in the default time, the result of determination of the N time examination is relevant to front N-1 the examination in preset time t. The time of t, such as during t=2, the default time was 2 years generally in units of year. As t=2, then(rounding up).
The calculation formula of the desirable scoring rate of the N time examination is as follows:
L n = L n - 1 × m T n - T n - 1 + Σ i = 1 j 1 p n , i
Wherein, LnIt is in the N time examination, there is the desirable scoring rate of one examination question in the examination question of the first knowledge point, Ln-1It is, during N-1 tries, there is the desirable scoring rate of one examination question in the examination question of the first knowledge point,Represent in the N time examination, there is the sum reciprocal of the degree-of-difficulty factor of all examination questions of the first knowledge point.
The calculation formula of the result of determination of the first knowledge point of the N time examination is:
F n = S n L n
Wherein, FnRepresent the result of determination of the first knowledge point taken an examination for the N time. FnValue more big expression student the grasp of this knowledge point is more good, learning capacity is more strong.
The learning capacity decision method for point that the present embodiment provides, considered student take an examination before this examination on the grasp situation of this knowledge point and the impact of time factor, make evaluation result more accurately and comprehensive. In addition, the method may be used for judging that student is to the integrated learning ability of multiple knowledge point equally.
Embodiment 3:
On the basis of embodiment 1 or embodiment 2, this learning capacity decision method also comprises:
S6: the result of determination of expectation as the N time examination calculating the result of determination of all knowledge points in described the N time examination.
Calculate the expectation of result of determination of all knowledge point of a student in once examination, obtain the result of determination taken an examination for the N time, reflect student to the integrated learning situation of all knowledge points.
Present embodiments provide a kind of method that the learning capacity of student is judged by all knowledge points comprised by a paper, similar, the method of calculation knowledge point is utilized to calculate the result of determination of all examination questions in the N time examination, ask expectation again, can also as the result of determination of this examination of student, or, utilizing the score of whole paper, degree-of-difficulty factor and the result of determination of always assigning to calculate whole paper are as the result of determination of the N time examination.
Specifically, obtain in the N time examination, the score of each examination question, total score and degree-of-difficulty factor;
Calculate the score of each examination question and the first ratio of total score, and the 2nd ratio of this first ratio and this question difficulty coefficient;
Calculate in the N-1 time examination, this examination question scoring rate that the scoring rate of the examination question the most similar to this examination question and the 2nd ratio sum of this examination question are taken an examination as the N time;
Calculate in the N-1 time, the desirable scoring rate of this examination question that the sum reciprocal of the desirable scoring rate of the examination question the most similar to this examination question and the degree-of-difficulty factor of this examination question is taken an examination as N;
Calculate the ratio between the scoring rate of this examination question of the N time examination and the desirable scoring rate of this examination question of the N time examination, using the result of determination of this examination question as the N time examination;
Calculating in the N time examination, the expected value of the result of determination of all examination questions, using the result of determination as the N time examination.
Wherein, N be more than or equal to 1 natural number.
Or, obtain in the N time examination, the average of whole paper, total score and average degree-of-difficulty factor;
Calculate the average of N the examination in the end and the first ratio of total score, and the 2nd ratio of this first ratio and average difficulty coefficient;
Calculate the scoring rate that scoring rate and the 2nd ratio sum of the N-1 time examination are taken an examination as the N time;
Calculate the desirable scoring rate that the sum reciprocal of the desirable scoring rate of the N-1 time examination and the average difficulty coefficient of the N time examination is taken an examination as N;
Calculate the ratio between the scoring rate of the N time examination and the desirable scoring rate of the N time examination, using the result of determination as the N time examination;
Wherein, N be more than or equal to 1 natural number.
Examination result before the N time examination and the impact of time are all taken into account by these three kinds of decision methods, and the examination result of the N time examination has been carried out comprehensive judgement.
Similarly, it is also possible to by a colony, such as a class or a grade, in all students the result of determination of the first knowledge point is asked expectation, obtain the result of determination of the learning capacity of this colony. The result of determination of the learning capacity of this colony of different time points is compared, obtains reflecting the change of this colony learning capacity during this period of time. The result of determination of the learning capacity of the different groups of identical time point is compared, obtains the difference of the learning capacity between different groups.
The learning capacity decision method that the present embodiment provides, can be used for multiple students' learning ability is carried out comprehensive judgement, from time degree of dimension the learning capacity of one or more student can not only be judged or, in identical time Wei Dunei, the results of learning of different student or colony can also be contrasted and judge.
Embodiment 4:
Present embodiments providing the decision process of the results of learning of two knowledge points in student's 3 examinations, table 1 is the score situation in student's three examinations.
When the default time is 2 years, have chosen this 3 examinations in 2 years, for single student in these 3 times examinations, the results of learning of the first knowledge point and the 2nd knowledge point are judged.
Calculate in the 1st examination that the test time is on June 20th, 2015, the result of determination F of the first knowledge point1��
Calculate in the 1st examination, there is first ratio of the examination question A1 of the first knowledge point, using formulaFirst ratio of examination question A1 isFirst ratio of examination question A3 is 1.
Calculate in the 1st examination, there is the 2nd ratio of the examination question A1 of the first knowledge point, using formula2nd ratio of examination question A1 is2nd ratio of examination question A3 is 1.67.
Table 1
Calculate in the 1st examination, according to the calculation formula of the first knowledge point scoring rate of the examination question with the first knowledge pointObtain the first knowledge point scoring rate S of examination questionnEqual the 2nd ratio sum of examination question A1 and examination question A3. In the examination question of the 1st examination, the first knowledge point scoring rate is S1=1.6+1.67=3.27.
Calculate in the 1st examination, there is the desirable scoring rate of the examination question of the first knowledge point, according to formulaThe desirable scoring rate obtaining having the examination question of the first knowledge point is the sum reciprocal of the degree-of-difficulty factor of examination question A1 and examination question A3,
The result of determination of the first knowledge point of the 1st examination, according to calculation formula isIn first time examination, the result of determination of the first knowledge point is
Calculate in the 2nd examination that the test time is on June 21st, 2015, the result of determination F of the first knowledge point2��
The first ratio and the 2nd ratio of the examination question of the 2nd knowledge point in second time examination is calculated according to the method for the first ratio calculated in the 1st examination and the 2nd ratio.
In 2nd examination, first ratio of the examination question B1 and examination question B3 with the first knowledge point is respectively 0.7 and 0.67, and the 2nd ratio of examination question B1 and examination question B3 is respectively 1.167 and 0.957.
Calculate in the 2nd examination, there is the calculation formula of the first knowledge point scoring rate of the examination question of the first knowledge pointThere is the calculation formula of the first knowledge point scoring rate of the first knowledge point according to the 2nd examinationObtain in the 2nd examination, the first knowledge point scoring rate S2=3.27 �� 0.998+1.167+0.957, in the 2nd examination, the first knowledge point scoring rate S2=5.39.Wherein, in modifying factor, setting factor beforehand value is 0.998. Time calculates in units of sky.
Calculate in the 2nd examination, there is the desirable scoring rate of the examination question of the first knowledge point, according to formulaThe desirable scoring rate obtaining having the examination question of the first knowledge point is the desirable scoring rate of the 1st examination and the sum reciprocal of the product of the 2nd modifying factor and the degree-of-difficulty factor of examination question B1 and examination question B3,NamelySo, in the 2nd examination, there is the desirable scoring rate L of the examination question of the first knowledge point2=6.76.
The result of determination of the first knowledge point of the 2nd examination, according to calculation formula isIn first time examination, the result of determination of the first knowledge point is
Calculate in the 3rd examination that the test time is on June 23rd, 2015, the result of determination F of the first knowledge point3��
In 3rd examination, first ratio of the examination question C2 and examination question C3 with the first knowledge point is respectively 0.25 and 0.294, and the 2nd ratio of examination question C2 and examination question C3 is respectively 0.83 and 0.735.
In 3rd examination, there is the first knowledge point scoring rate of the examination question of the first knowledge pointS3=5.39 �� 0.9982+ 0.83+0.735, in the 3rd examination, the first knowledge point scoring rate S3=6.93.
In 3rd examination, there is the desirable scoring rate of the examination question of the first knowledge point L 3 = L 2 × 0.998 2 + Σ i = 1 j 1 p 3 , i , Namely L 3 = 6.76 × 0.998 2 + 1 0.3 + 1 0.4 , So, in the 3rd examination, there is the desirable scoring rate L of the examination question of the first knowledge point3=12.56.
The result of determination of the first knowledge point of the 3rd examination, according to calculation formula isIn first time examination, the result of determination of the first knowledge point is
Calculate in the 4th examination that the test time is on July 23rd, 2015, the result of determination F of the first knowledge point4��
In 4th examination, first ratio of the examination question D1 and examination question D2 with the first knowledge point is respectively 0.25 and 0.294, and the 2nd ratio of examination question D1 and examination question D2 is respectively 0.83 and 0.735.
In 4th examination, there is the first knowledge point scoring rate of the examination question of the first knowledge pointS4=6.93 �� 0.99830+ 0.83+0.735, in the 4th examination, the first knowledge point scoring rate S4=8.09.
In 4th examination, there is the desirable scoring rate of the examination question of the first knowledge point L 4 = L 3 × 0.998 30 + Σ i = 1 j 1 p 4 , i , Namely L 4 = 12.56 × 0.998 30 + 1 0.3 + 1 0.4 , So, in the 4th examination, there is the desirable scoring rate L of the examination question of the first knowledge point4=17.66.
The result of determination of the first knowledge point of the 4th examination, according to calculation formula isIn first time examination, the result of determination of the first knowledge point is
Contrast the result of determination F of the first knowledge point of front 3 examinations1��F2And F3It will be seen that the learning capacity of the first knowledge point is reduced by this individuality successively, this is mainly because item difficulty is increasing, so student performance learning capacity out is also more and more weak.
Contrast the result of determination of the result of determination of the first knowledge point of the 3rd examination and the first knowledge point of the 4th examination it will be seen that the 3rd examination is with, in the 4th examination, the total score of the examination question with the first knowledge point is identical, and the score of student is also identical. But, the evaluating result of the 4th examination is less than the evaluating result of the 3rd examination, and this is mainly because the 3rd examination is short apart from the 2nd test time interval, and this knowledge point being forgotten less by student, shows as that the Grasping level to knowledge point is good or learning capacity is strong. 4th examination is long apart from the timed interval of the 3rd examination, and student is many to forgeing of this knowledge point, shows as the learning capacity to knowledge point poor.
In this result of determination, the value of result of determination is more big, represents that the learning capacity of student is more strong. It should be appreciated that in this computation process, if the timed interval of twice examination is more long, the value of modifying factor is more little, in the result of determination obtained, the impact of last examination is more little.This point mainly considers that the timed interval is more long, and student is more many to forgeing of the knowledge point in last time examination, and corresponding last examination is more little on the impact of the result of determination of this examination.
Embodiment 5:
Fig. 2 is the structure block diagram that the learning capacity that the present embodiment provides judges system, and see Fig. 2, this learning capacity judges system, comprising:
A1 first acquisition module, for obtaining in the N time examination, has the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;
A2 first calculates module, for the first ratio of the score and total score that calculate described each examination question, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
A3 the 2nd calculates module, for calculating the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums the first knowledge point scoring rate as the N time examination;
A4 the 3rd calculates module, for calculating the first knowledge point desirable scoring rate of sum reciprocal as the N time examination of the degree-of-difficulty factor of the desirable scoring rate in the first knowledge point and the described each examination question taken an examination for the N-1 time;
A5 the 4th calculates module, for the ratio calculated between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
Learning capacity decision method provided by the invention, for student to the results of learning of a certain knowledge point, considered student took an examination before this examination on the grasp situation of this knowledge point and the impact of time factor, make evaluation result more accurately and comprehensively.
Learning capacity decision method provided by the invention, for student to the results of learning of a certain knowledge point, considered student took an examination before this examination on the grasp situation of this knowledge point and the impact of time factor, make evaluation result more accurately and comprehensively.
The foregoing is only the preferred embodiments of the present invention, be not limited to the present invention, for a person skilled in the art, the present invention can have various modifications and variations. Within the spirit and principles in the present invention all, any amendment of doing, equivalent replacement, improvement etc., all should be included within protection scope of the present invention.

Claims (10)

1. one kind based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, comprising:
S1: obtain in the N time examination, there is the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;
S2: calculate the score of described each examination question and the first ratio of total score, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
S3: calculate the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums the first knowledge point scoring rate as the N time examination;
S4: the first knowledge point desirable scoring rate of sum reciprocal as the N time examination calculating the desirable scoring rate in the first knowledge point of the N-1 time examination and the degree-of-difficulty factor of described each examination question;
S5: calculate the ratio between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
2. according to claim 1 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, described step S3, comprising:
S31: the first knowledge point scoring rate calculating described the N-1 time examination and the modifying factor taken an examination for the N time are long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;
S32: scoring rate and all 2nd ratio sums are revised in the first knowledge point of described the N-1 time examination, as the first knowledge point scoring rate of the N time examination.
3. according to claim 2 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, described step S4, comprising:
S41: the desirable scoring rate in the first knowledge point obtaining described the N-1 time examination and the modifying factor taken an examination for described the N time are long-pending, revise desirable scoring rate using the first knowledge point as the N-1 time examination;
S42: the sum reciprocal of degree-of-difficulty factor that the first knowledge point of described the N-1 time examination is revised desirable scoring rate and described each examination question is as the N time desirable scoring rate in knowledge point number one in the examination.
4. according to Claims 2 or 3 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, the calculation formula of described the N time modifying factor is as follows:
M n = m T n - T n - 1
Wherein, MnBeing the N time modifying factor, m is setting factor beforehand, TnIt is the time of the N time examination, Tn-1It it is the time of the N-1 time examination.
5. according to claim 1 based on time dimension degree and the similar learning capacity decision method comparing dimension degree, it is characterised in that, comprising:
S6: the result of determination of expectation as the N time examination calculating the result of determination of all knowledge points in described the N time examination.
6. a study judges system based on time dimension degree and the similar learning capacity comparing dimension degree, it is characterised in that, comprising:
First acquisition module, for obtaining in the N time examination, has the score of each examination question of the first knowledge point, total score and degree-of-difficulty factor;
First calculating module, for the first ratio of the score and total score that calculate described each examination question, and the 2nd ratio of described first ratio and described degree-of-difficulty factor;
2nd calculating module, for calculating the first knowledge point scoring rate that the N-1 time knowledge point number one in the examination scoring rate and all 2nd ratio sums are taken an examination as the N time;
3rd calculating module, for calculating the first knowledge point desirable scoring rate of sum reciprocal as the N time examination of the degree-of-difficulty factor of the desirable scoring rate in the first knowledge point and the described each examination question taken an examination for the N-1 time;
4th calculating module, for the ratio calculated between the first knowledge point scoring rate of described the N time examination and the desirable scoring rate in the first knowledge point of described the N time examination, using the result of determination of the first knowledge point as the N time examination;
Wherein, N be more than or equal to 1 natural number.
7. according to claim 6 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, described 2nd calculating module also comprises:
First calculating unit, modifying factor for the first knowledge point scoring rate and the N time examination that calculate described the N-1 time examination is long-pending, scoring rate is revised using the first knowledge point as the N-1 time examination, wherein, the N-1 time examination is more long apart from the time of described the N time examination, and the value of the modifying factor of described the N time examination is more little;
2nd calculating unit, for revising scoring rate and all 2nd ratio sums by the first knowledge point of described the N-1 time examination, using the first knowledge point scoring rate as the N time examination.
8. according to claim 7 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, described 3rd calculating module also comprises:
3rd calculating unit, long-pending for the desirable scoring rate in the first knowledge point and described the N time modifying factor obtaining described the N-1 time examination, revise desirable scoring rate using the first knowledge point as the N-1 time examination;
4th calculating unit, for the first knowledge point of described the N-1 time examination is revised the degree-of-difficulty factor of desirable scoring rate and described each examination question sum reciprocal as the N time knowledge point number one in the examination ideal scoring rate.
9. according to claim 7 or 8, judge system based on time dimension degree and the similar learning capacity comparing dimension degree, it is characterised in that, the calculation formula of described the N time modifying factor is as follows:
M n = m T n - T n - 1
Wherein, MnBeing the N time modifying factor, m is setting factor beforehand, TnIt is the time of the N time examination, Tn-1It it is the time of the N-1 time examination.
10. according to claim 6 based on time dimension degree and the similar learning capacity judgement system comparing dimension degree, it is characterised in that, also comprise:
5th calculating module, for calculating the result of determination of expectation as the N time examination of the result of determination of all knowledge points in described the N time examination.
CN201510999753.2A 2015-12-25 2015-12-25 Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension Pending CN105654402A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201510999753.2A CN105654402A (en) 2015-12-25 2015-12-25 Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201510999753.2A CN105654402A (en) 2015-12-25 2015-12-25 Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension

Publications (1)

Publication Number Publication Date
CN105654402A true CN105654402A (en) 2016-06-08

Family

ID=56478053

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201510999753.2A Pending CN105654402A (en) 2015-12-25 2015-12-25 Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension

Country Status (1)

Country Link
CN (1) CN105654402A (en)

Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106780222A (en) * 2017-01-12 2017-05-31 陈星� Analog synthesis achievement preparation method and device
CN108053098A (en) * 2017-11-24 2018-05-18 河南大学 A kind of school grade analysis method based on big data
CN110750634A (en) * 2019-10-11 2020-02-04 李晚华 Method for effectively matching practicer with training test questions based on data statistics
CN110991830A (en) * 2019-11-19 2020-04-10 浙江创课网络科技有限公司 Test paper analysis report system and method
CN111932160A (en) * 2020-10-09 2020-11-13 北京世纪好未来教育科技有限公司 Knowledge acquisition information processing method, knowledge acquisition information processing device, computer device, and storage medium
CN112116506A (en) * 2020-09-02 2020-12-22 上海松鼠课堂人工智能科技有限公司 Method for measuring mastery degree of knowledge point

Cited By (10)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106780222A (en) * 2017-01-12 2017-05-31 陈星� Analog synthesis achievement preparation method and device
CN106780222B (en) * 2017-01-12 2020-03-27 陈星� Method and device for acquiring simulated comprehensive scores
CN108053098A (en) * 2017-11-24 2018-05-18 河南大学 A kind of school grade analysis method based on big data
CN110750634A (en) * 2019-10-11 2020-02-04 李晚华 Method for effectively matching practicer with training test questions based on data statistics
CN110750634B (en) * 2019-10-11 2022-03-01 李晚华 Method for effectively matching practicer with training test questions based on data statistics
CN110991830A (en) * 2019-11-19 2020-04-10 浙江创课网络科技有限公司 Test paper analysis report system and method
CN110991830B (en) * 2019-11-19 2023-07-07 河北仓澜教育科技集团有限公司 Test paper analysis reporting system and method
CN112116506A (en) * 2020-09-02 2020-12-22 上海松鼠课堂人工智能科技有限公司 Method for measuring mastery degree of knowledge point
CN112116506B (en) * 2020-09-02 2022-06-28 上海松鼠课堂人工智能科技有限公司 Method for measuring mastery degree of knowledge points
CN111932160A (en) * 2020-10-09 2020-11-13 北京世纪好未来教育科技有限公司 Knowledge acquisition information processing method, knowledge acquisition information processing device, computer device, and storage medium

Similar Documents

Publication Publication Date Title
CN105654402A (en) Learning ability determining method and learning ability determining system based on time dimension and homogeneous comparison dimension
CN109903617B (en) Personalized exercise method and system
CN109509126A (en) A kind of personalized examination question recommended method based on user's learning behavior
Hoch et al. Structure sense versus manipulation skills: An unexpected result
CN106296503A (en) Evaluation of teacher's method and system
Csernoch et al. TEACHERS’ASSESSMENT AND STUDENTS’SELF-ASSESSMENT ON THE STUDENTS’SPREADSHEET KNOWLEDGE
Ahmad et al. An improved course assessment measurement for analyzing learning outcomes performance using Rasch model
Zaki et al. Development of high order thinking skills (HOTS) test instrument on exponent for junior high school students
Vega et al. An Investigation of the Effectiveness of Reform Mathematics Curricula Analyzed by Ethnicity, Socio-Economic Status, and Limited English Proficiency.
Decena Teaching Styles and Competency Levels of Techno-Vocational Teachers at Ramon Magsaysay Technological University: A Development of Competency-Based Assessment Tool for Techno-Vocational Teachers
Holzäpfel et al. Preparing in-service teachers for the differentiated classroom
Utari Mathematical literacy skill of students of Pisa type in the context of coconut
Kiss A comparison of informatics skills by genders of Hungarian grammar school students
Kozierkiewicz-Hetmańska et al. An item bank calibration method for a computer adaptive test
Friyatmi et al. Determining Test Length Precision for Economics Testing: The Implementation of IRT Model for Classroom Assessment
Nurlela et al. Proportional Reasoning Level Based on Student Self-Efficacy Review
Boz-Yaman et al. A Mathematical Modeling Activity: Murat's Mobile Phone.
Leme et al. The impact of structured teaching methods on the quality of education
Kang et al. Teacher knowledge necessary to address student errors and difficulties about ratio and rate
CN106780207A (en) A kind of the mutual of classroom exercise changes method and system
TWI608454B (en) A method of determinating interesting and the application of this method completed by the career research platform
Samson et al. Continuous assessment results versus end-of-year examination marks in Grade 10 mathematics in Namibia: the statistics and teachers' opinions
Reit Thought Structures of odelling Task Solutions and their Connection to the Level of Difficulty
Jakobsen et al. What can be Learned from Comparing Performance of Mathematical Knowledge for Teaching Items found in Norway and in the US?
Johnson Statistical Inference.

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
RJ01 Rejection of invention patent application after publication

Application publication date: 20160608

RJ01 Rejection of invention patent application after publication