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Invention Journal of Research Technology in Engineering & Management (IJRTEM) ISSN: 2455-3689
www.ijrtem.com ǁ Volume 1 ǁ Issue 8 ǁ
| Volume 1 | Issue 8 | www.ijrtem.com | 18 |
Didactic analysis of the items proposed in the competition test of entry to the
CRMEF of the graduate professors qualifying option "physical chemistry"
session 2015-2016 and determining factors in the choice of good future teacher
A. Atibi1,2
, I. Elkababi1
, K. Elkababi1,2
, A. A. BenMassaoud2
, A. Mili2
, M. Belhabra1
, M. Radid1
, M.
Talbi3
and S. Belaaouad1
1
Laboratoire de Chimie Physique des Matériaux, Faculté des Sciences Ben M’sik,B. P. 7955. Bd Cdt Driss El Harti,
Université Hassan II de Casablanca. Maroc. E-mail : atibi.azzeddine@outlook.com
2
Centre Régional des Métiers d’Education et de Formation (CRMEF) Casablanca Anfa,BdBirAnzarane Casablanca. Maroc.
3
Laboratoire de ChimieAnalytiqueetPhysico-Chimie des Matériaux
Observatoire de RecherchesenDidactiqueetPédagogieUniversitaire ORDIPU
ABSTRACT: The Regional Centers of Education and Training (CRMEF) in Morocco are responsible for recruiting and training
candidates for the teaching of schools. Admission to the CRMEF is done first of all by a pre-selection on file. The selected candidates
will then pass a written test in chemistry physics of duration of 4 hours. The written examination, in physics chemistry, written in the
form of a multiple-choice questionnaire (MCQ) is established by the examination center of the Minister of National Education,
Morocco. It consists of two parts, one dealing with physics and the other with chemistry. Each part is made up of totally independent
parts. It contains 57 items divided into 11 themes. The physical part comprises 31 items divided into 6 themes and the chemistry part
includes 26 items divided into 5 themes. The analysis of items includes all the statistical processes whose purpose is to evaluate the
quality of an examination and the items that compose it.
The research work conducted here is not interested in the editorial aspects of the MCQ items. It focuses exclusively on the one hand to
analyze the items of the written examination (MCQ) of the entrance examination to the CRMEF taking into account qualitative
information via the statistical indicators of discrimination and difficulty and on the other hand to perceive If the structuring and the
formulation of the MCQ items are decisive in the choice of good future teacher. To do this a detailed analysis of each item of the
written exam (MCQ) was done.The results of this study show that among the 57 items in the written test (MCQ), there are 7% of the
items to be revised and 10.5% to be rejected and consequently the proposed examination does not discriminate between applicants
and did not allow an adequate choice of good future teacher.
KEYWORDS: Competition - Regional Center for Education and Training Trade (CRMEF) - - Item Analysis - School Teachers - Recruitment -
MCQ Exam - Future Teacher - Discrimination Index - Difficulty Index - Determinant.
INTRODUCTION
Studies show that pupils receiving high-performance teachers will progress on average three times faster than those entrusted to
inferior teachers [1,2]. Teachers must therefore be provided with the professional skills quality education and this requires professional
development, in other words, through initial and in-service training for teachers[3].
CRMEF is primarily responsible for this performance by choosing future teachers and then qualifying them during the initial training
they make available to them.
Similarly to other countries, the Minister of National Education in Morocco organizes, at the beginning of each school year, a
competition for the recruitment of candidates holding abachelor's degree, master's degree, professional degree in education science, or
other diplomas equivalent to the regional centers of the trades of education and training (CRMEF)[4,5,6]. This is part of the training
framework for teachers in the secondary school qualifying and collegiate in physical chemistry.
In this study, the method of evaluating the written test seems to us to be a crucial and decisive factor in the choice of good future
teachers. However, detailed item-by-item analysis of the entire written test has shown that such a test does not further discriminate
candidates and does not allow an adequate choice of a good future teacher.
RESEARCH CONTEXT
Given the importance of the evaluation process in the field of recruitment, of future teachers, we proceeded to a counting of the notes
associated with each item of the written test (MCQ). A careful analysis of these notes suggests that two-thirds of the candidates who
passed the written test found it very difficult to approach the examination as a whole and did not average. This observation allowed us
to hypothesize: To what extent the quality of the items (good and/or bad discrimination) proposed in the written test of the entrance
examination to the CRMEF is decisive in the choice of good future Teacher (tie-breaker).
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 19 |
To verify our initial hypothesis we carried out a detailed analysis of each item of the written test (MCQ) in analogy with the
quantitative norms P and ID. An estimate of the mean difficulty index and the average discriminatory power of the entire written test
was made.
THEORETICAL FRAME
The item analysis is the set of statistical processes whose purpose is to evaluate the quality of an examination and the items (ie the
questions) that compose it.This type of analysis has several advantages:
 Obtain guidance on the accuracy and reliability of the results observed.
 "Validate" a review by removing gaps where necessary.
 Calibrate future exams.
 Create an "item bank".
 Improve wording of questions.
The three-item analysis reports [7]that are "the test analysis report", "item analysis report" and "item advice report" are used to identify
issues that are problematic, they would merit revision or replacement for a forthcoming review session. They also help identify the
"best" questions, which should be inspired when writing new questions (item analysis report, item advice report).
These last two reports are based on two important indicators: Difficulty / Facility Index (Pi), Discrimination index (ID).
Pi: Item Difficulty / Facility Index (ranging from 0 to 1) is the proportion of students who have just answered an item i. An item is all
the easier because it has a high index * P * and it is therefore to aim that the majority of items are neither too easy nor too difficult:
that their P is distributed around 0.5. How to value this value? McAlpine[8]considers that the answers are too difficult (P <0.15, when
less than 15% of respondents answered the question correctly), or too easy (P> 0.85, ie when at least 85% Have answered just) can be
excluded from the MCQ. The first are "impossible", the second "trivial" and therefore neither allows the effective measurement of the
skills of people passing the MCQ. (Fig.1, 2).
ID: Discrimination Index (ID) is a variant of the Pearson correlation coefficient and is called r a ripple point (rpbis)[9]. It varies, like
any correlation coefficient, between -1 and 1, and corresponds to the correlation coefficient between an item and the total score on the
test. It is then important to see to what extent a given question in itself contributes to selecting "good" or "less good" candidates.
Figures 1 and 2 below give the range of variation of the quantitative norms P and ID.
Figure (1) :Difficulty / Facility Index Figure (2) :Discrimination Index (ID)
RESEARCH METHODOLOGY
The number of candidates enrolled in the entrance examination to the CRMEF for the 2015 - 2016 school year is 1286 and of what are
selected to pass the written test is ninety. The written exam in the form of multiple choice questionnaires (MCQ) comprises 57 items
divided into 11 themes six themes in physics and five themes in chemistry. The 6 physics themes contain 31 items and the 5 chemistry
themes encompass 26 items.
The sample used:
The current study was conducted on 30 pseudo-randomly selected copies of ninety copies of the candidates who passed the written test
of the CRMEF entry competition for the academic year 2015-2016.Using the results (correct and/or false) obtained in each copy of the
sample used, it was possible to assume the quantitative P and ID standards associated with each item (Table 1 and 2) of the written
test.
A careful and parallel examination of the quantitative standards P and ID indices (difficulty and discrimination) was carried out in
order to analyze finely the quality of the items proposed in the written test of the entrance examination to the CRMEF.The use of the
results (correct and/or false) obtained in each copy of the sample used allowed the P and ID standards associated with each item
(Table 1 and 2) to be assumed in the written test of the competition.
RESULTS AND DISCUSSION: Detailed statistical analysis and discussion of each item in the written test
1.1. Physical:
 Theme: mechanical :To verify our initial hypothesis, we carried out a detailed analysis of the different items of the written test A
careful and parallel examination of the last two indices (P and ID) (Table 1, Fig. a) allows a fine analysis of the quality of the
items. It is noted that items Q3 and Q4 have a very low difficulty / ease index equal to 0.1 and 0.03 respectively are both less than
0.15 ie less than 10% respectively 3% of the candidates answered just the question. The latter two percentages are very low,
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 20 |
which means that questions Q3 and Q4 are difficult to reach by the candidates, and the latter also have negative indices of
discrimination (ID) (-0.23 and -0.16). Which means that it is the unsatisfactory candidates in general (on the whole
questionnaire) who succeed well in these items, which may suggest that these items are a weak predictor of knowledge or skill
measured in the test, And therefore we must consider its suppression, or that successful candidates in general succeed less well
with these items: it is appropriate in this case to ask why. This suggests that the items Q3 and Q4 are non-discriminating and
therefore to reject or reformulate or that the disciplinary level of candidates and very low. While the items, Q6 and Q5 have a
difficulty rating of 0.2 and 0.23 less than 0.3 (less than 30% of the candidates responded correctly) means that these questions are
difficult [10]. Is it normal that so many candidates have not met the objective measured by these questions? The difficulty index
of questions Q2, Q9 and Q10 (0, 37, 0.4 and 0.4) is distributed around 0.5: these items are neither too easy nor too difficult
(acceptable questions) [8]. The item Q8 with an index of difficulty 0.4 <P = 0.53 <0.6 a little more than 0.50 and discrimination
index 0.15 <ID = 0.18 <0.24: question Discriminates well [9]. The question Q7 at P = 0.23 with a negative discrimination
coefficient (ID <0) shows an inconsistency: the best candidates fail this question when the weak candidates succeed. This
question with ID must be withdrawn from the bank. The remaining item on this theme Q1 (60% of candidates answered just) has
a discrimination index of 0.36: excellent question [10].
 Theme: electronic :This topic includes only two items Q11 and Q12 (Table 1, Fig. b) that have a difficulty index of 0.67 and 0.37
respectively (67% and 37% of the candidates responded correctly). The discrimination index of Q11 is ID = 0.47 and that of Q12
is ID = -0.13. This suggests that item Q11 is an issue that discriminates very well and that item Q12 is a non-issue Real interest in
a certification assessment [11].
 Theme: magnetism :The items, Q13, Q14 and Q15 of the magnetism theme (Table 1, Fig. c) have a Difficulty / Facility Index (P)
which is in the range 0.4 <P <0.6 a little more than 0, 50 and a discrimination index (ID) (in absolute value) - 0.05 <ID <0.12:
these items are neither too easy nor too difficult (acceptable questions) [8]. While item Q17 has a difficulty / ease index (P = 0.13
<0.15) non-discriminatory question and therefore to reject or reformulate or that the disciplinary level of candidates and very
low and the item Q16 has a difficulty / ease index (P = 0.3) (30% of the candidates answered just) with an ID of - 0.19: difficult
question [10].
 Theme: electrostatic: Question Q18, (Table 1, Fig. d), has a difficulty / ease index(P = 0.57 <0.6): this item is neither too easy nor
too difficult (an acceptable question) [8]. While item Q21 of difficulty / ease index (P = 0.07 <0.15): 7% of the candidates
answered just. This too difficult question does not discriminate so should be discarded from the MCQ. The items, Q19 and Q20
have a difficulty / ease index that is very close to 0.35 are classified as excellent questions (good discriminates). The remaining
item Q22 has an index P = 0.17 between 0.15 and 0.24: marginal issue: to be revised.
 Theme: optics : In this theme the items (Table 1, Fig. e), Q23, Q24, Q25, Q26 and Q28 have an index P which is distributed around
0.5 which means that the majority of the items are neither too easy nor too Difficult. For item Q27 only 10% of respondents
answered just the given question, which proves that it is difficult (less discriminating).
 Theme: wave: The difficulty / ease index of the two items Q29, and Q30 is less than 0.24: marginal questions: to be revised[8]. The
last question Q31 (P = 0.43: 43% answered just this question) is discriminating (Table 1, Fig.f).
Table 1 : Levels of candidates byphysicaltheme
THEMES Item Coef/Item ERJ ERF ERN FRJ(%) P PQR(%)
MECHANIC
Q1 2 18 9 3 60 0.6
20
Q2 2 11 16 3 37 0.37
Q3 3 3 24 3 10 0.1
Q4 2 1 28 1 3 0.03
Q5 1 7 23 0 23 0.23
Q6 2 6 24 0 20 0.2
Q7 2 7 21 2 23 0.23
Q8 2 16 11 3 53 0.53
Q9 2 12 15 3 40 0.4
Q10 2 12 14 4 40 0.4
ELECTRONIC
Q11 2 20 10 0 67 0.67
50
Q12 3 11 16 3 37 0.37
MAGNETISM
Q13 2 13 15 1 43 0.43
20
Q14 2 16 13 1 53 0.53
Q15 2 13 16 1 43 0.43
Q16 2 9 18 3 30 0.3
Q17 2 4 22 4 13 0.13
ELECTROSTATIC Q18 2 17 12 1 57 0.57 10
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 21 |
Q19 2 9 19 2 30 0.3
Q20 2 10 19 1 33 0.33
Q21 2 2 25 3 7 0.07
Q22 2 5 19 6 17 0.17
OPTIC
Q23 2 15 15 0 50 0.5
17
Q24 2 9 14 7 30 0.3
Q25 1 10 10 10 33 0.33
Q26 2 11 11 8 37 0.37
Q27 2 3 26 1 10 0.1
Q28 2 9 17 4 30 0.3
WAVES
Q29 2 7 22 1 23 0.23
0Q30 1 7 21 2 23 0.23
Q31 1 13 16 1 43 0.43
PQR Proportion of successful questions FRJ Frequency of correct answers
ERJ Effect of fair answers P Index of difficulty
ERF Effect of false answers Coef/Item Coefficient par Item
ERN Effect of non-response questions
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 22 |
1.2. Chemistry
 Theme: structure of matter :It consists of six items (Table 2, Fig. g), three of which are too easy "trivial", Q32, Q35 and Q36 with a
difficulty / ease (P) index of 0.9, 0.83 and 0,87 all greater than or equal to 0.85. These questions where all the candidates succeed
(P> 0.85) are not sufficiently informative because they do not discriminate candidates. Moreover, if the examination includes
only very easy or very difficult questions, it does not make it possible to discriminate two average candidates since both will
succeed all the easy questions and will fail to all the very difficult questions, so they will both same rating. These items should be
excluded from the MCQ [8]. Items Q33 and Q37 both have nearly the same difficulty / ease index equal to 0.6 (ie 60% of the
candidates answered just) discriminate well (excellent questions). The remaining item Q34 has an index P = 0.23 between 0.15
and 0.24: marginal question: to be revised.
 Theme: chemical thermodynamics : Questions Q38, Q40, Q41 and Q42 of the chemical thermodynamic theme (Table 2, Fig. h) all
have a difficulty / Ease (P) index which is in the range 0.3 <P <0.7 and a Discrimination (ID) which is in the range 0.25 <ID
<0.34 which suggests that these items are acceptable (good questions). Item Q39 of difficulty / ease index P = 0.53 and
discrimination index ID> 0.35 is an excellent question [8].
 Theme: reactions in aqueous media :The three items, Q43, Q44 and Q47 of the reactions in aqueous solution (Table 2, Fig. i)
contain a difficulty/facility (P) index that settles in the range 0.3 <P <0.7 and one Index of discrimination in the range 0.25 <ID
<0.34 which suggests that these items are acceptable (good questions). Items Q46 and Q48 are questions of average difficulty (P =
0.50), it will discriminate correctly the average subjects, but will not discriminate weak subjects among themselves (because they
will fail all questions) or (because they will succeed all the questions). The remaining item Q45 has a difficulty/ease index equal
to 0.13: question too difficult.
 Theme: Chemical kinetics :The chemical kinetic theme (Table 2, Fig. j) contains five items. Items Q50 and Q52 both have a
Difficulty / Ease (P) index of less than 0.15 and therefore are too difficult. While the other three, Q49, Q51 and Q53 have an index
P in the range 0.3 <P <0.7 and a discrimination index (ID) that is in the range 0.25 <ID <0.34 which suggests that these items are
acceptable (good questions).
 Theme: organic chemistry : The four items, Q54, Q55, Q56 and Q57, of the organic chemistry theme (Table 2, Fig. k) all have a
Difficulty / Facility Index (P) which intercalates on the interval 0.3 <P <0.7 And a discrimination index (ID) that finds in the
range 0.25 <ID <0.34 and therefore are good questions.
Table 2 : Level of candidates bychemicaltheme
THEMES Item Coef/Item ERJ ERF ERN FRJ(%) P PQR(%)
STRUCTURE OF
MATTER
Q32 2 27 2 1 90 0.9
83,33
Q33 1 19 10 1 63 0.63
Q34 1 7 21 2 23 0.23
Q35 1 25 4 1 83 0.83
Q36 2 26 2 2 87 0.87
Q37 1 18 11 1 60 0.6
CHEMICAL
THERMODYNAMICS
Q38 2 9 21 0 30 0.3
20
Q39 2 16 11 3 53 0.53
Q40 2 9 20 1 30 0.3
Q41 2 13 15 2 43 0.43
Q42 2 13 16 1 43 0.43
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 23 |
REACTIONS IN
AQUEOUS MEDIA
Q43 1 23 6 1 77 0.77
50
Q44 3 9 15 6 30 0.3
Q45 3 4 22 4 13 0.13
Q46 2 15 14 1 50 0.5
Q47 2 14 10 6 47 0.47
Q48 1 15 12 3 50 0.5
CHEMIQCAL
KINETICS
Q49 1 8 20 2 27 0.27
0
Q50 1 1 27 2 3 0.3
Q51 1 10 17 3 33 0.33
Q52 2 2 21 7 7 0.07
Q53 1 7 18 5 23 0.23
ORGANIC
CHEMISTRY
Q54 1 14 14 2 47 0.47
50
Q55 1 16 11 3 53 0.53
Q56 1 20 8 2 67 0.67
Q57 1 9 19 2 30 0.3
PQR Proportion of successful questions FRJ Frequency of correct answers
ERJ Effect of fair answers P Index of difficulty
ERF Effect of false answers Coef/Item Coefficient par Item
ERN Effect of non-response questions
Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors......
| Volume 1 | Issue 8 | www.ijrtem.com | 24 |
CONCLUSION
The careful analysis of the 57 items of the written test (MCQ) divided into 11 themes (6 themes in physics including 31 items and 5
themes in chemistry comprising 26 items) led us to conclude that:
 The average difficulty index of the test was optimal, ie 0.41;
 Items classified as good or excellent were moderately predominant, accounting for 52% of the total;
 Difficult items accounted for 17.5% of the questions with wide variations within disciplines;
 Average items accounted for 12.3% of total questions;
 The percentage of questions to be revised (7%) and / or rejected (10.5%) is relatively large compared to all items.
 The discriminating power of the whole test was average, an average discrimination index of 0.28. Discrimination issues
accounted for 17.5% of the total, 7% to be revised and 10.5% to be rejected. The best discrimination was found for difficult
disciplines ranging from 0.4 to 0.6.
The analysis of items showed that the test was of relatively acceptable internal consistency and of medium quality in terms of
difficulty and discrimination. They tended to be easy and discriminated mainly between middle students. Ongoing analysis will further
improve their quality.
The result thus obtained showed that the difficulties encountered by the candidates.
The written test are related not only to the disciplinary deficiencies but also to the way in which it is structured the written test (MCQ)
which suggests that this test is not decisive in the choice of good future teacher.
REFERENCES
1. Barber, M. et Mourshed, M. (2007). Les clés du succès de systèmes scolaires les plus performants. New York, NY : McKinsey
and Co. Repéré à https://mckinseyonsociety.com/downloads/reports/Education/How_the_Worlds_Best_
Performing_french.pdf
2. Sanders, W. L., & Rivers, J. C. (1996). Cumulative and residualeffects of teachers on future studentacademicachievement :
Researchprogress report. Repéré à http://www.cgp.upenn.edu/pdf/Sanders_Rivers-TVASS_teacher
%20effects.pdf
3. Gauthier, C. et Tagne, G. (2014). À propos de la performance des systèmes éducatifs et de leur amélioration. Formation et
profession, 22(2), 74-77. http://dx.doi.org/10.18162/fp.2014.a45
4. Décret n° 2.11.672 du 27 Moharem 1433 (23 décembre 2011) relatif à la création et l’organisation des centres régionaux des
métiers de l’éducation et de formation.
5. Décret n° 2.11.621 du 28 Hija 1432 (25 novembre 2011) fixant les conditions et modalités de l’organisation des concours de
recrutement aux postes publics
6. Arrêté n° 2200.12 du 29 Joumada I 1433 (21 mai 2012) fixant les modalités d’accès au cycle de qualification des professeurs
de l’enseignement secondaire qualifiant
7. Consilium Benelux (2011). ConTest Statistics. Version 0.19. Mars 2012.
8. MhairiMcAlpine. Principles of assessment. Technical Report, CAA Centre, 2002b
9. Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334.
10. Rajae KADIRI (2011/2012). Guides pour la rédaction des QCM. p. 21
11. EBEL, R.L. (1965). Measuring Educational Achievement. Upper Saddle River, New Jersey (USA): Prentice-Hall education
series

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Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors qualifying option "physical chemistry" session 2015-2016 and determining factors in the choice of good future teacher

  • 1. Invention Journal of Research Technology in Engineering & Management (IJRTEM) ISSN: 2455-3689 www.ijrtem.com ǁ Volume 1 ǁ Issue 8 ǁ | Volume 1 | Issue 8 | www.ijrtem.com | 18 | Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors qualifying option "physical chemistry" session 2015-2016 and determining factors in the choice of good future teacher A. Atibi1,2 , I. Elkababi1 , K. Elkababi1,2 , A. A. BenMassaoud2 , A. Mili2 , M. Belhabra1 , M. Radid1 , M. Talbi3 and S. Belaaouad1 1 Laboratoire de Chimie Physique des Matériaux, Faculté des Sciences Ben M’sik,B. P. 7955. Bd Cdt Driss El Harti, Université Hassan II de Casablanca. Maroc. E-mail : atibi.azzeddine@outlook.com 2 Centre Régional des Métiers d’Education et de Formation (CRMEF) Casablanca Anfa,BdBirAnzarane Casablanca. Maroc. 3 Laboratoire de ChimieAnalytiqueetPhysico-Chimie des Matériaux Observatoire de RecherchesenDidactiqueetPédagogieUniversitaire ORDIPU ABSTRACT: The Regional Centers of Education and Training (CRMEF) in Morocco are responsible for recruiting and training candidates for the teaching of schools. Admission to the CRMEF is done first of all by a pre-selection on file. The selected candidates will then pass a written test in chemistry physics of duration of 4 hours. The written examination, in physics chemistry, written in the form of a multiple-choice questionnaire (MCQ) is established by the examination center of the Minister of National Education, Morocco. It consists of two parts, one dealing with physics and the other with chemistry. Each part is made up of totally independent parts. It contains 57 items divided into 11 themes. The physical part comprises 31 items divided into 6 themes and the chemistry part includes 26 items divided into 5 themes. The analysis of items includes all the statistical processes whose purpose is to evaluate the quality of an examination and the items that compose it. The research work conducted here is not interested in the editorial aspects of the MCQ items. It focuses exclusively on the one hand to analyze the items of the written examination (MCQ) of the entrance examination to the CRMEF taking into account qualitative information via the statistical indicators of discrimination and difficulty and on the other hand to perceive If the structuring and the formulation of the MCQ items are decisive in the choice of good future teacher. To do this a detailed analysis of each item of the written exam (MCQ) was done.The results of this study show that among the 57 items in the written test (MCQ), there are 7% of the items to be revised and 10.5% to be rejected and consequently the proposed examination does not discriminate between applicants and did not allow an adequate choice of good future teacher. KEYWORDS: Competition - Regional Center for Education and Training Trade (CRMEF) - - Item Analysis - School Teachers - Recruitment - MCQ Exam - Future Teacher - Discrimination Index - Difficulty Index - Determinant. INTRODUCTION Studies show that pupils receiving high-performance teachers will progress on average three times faster than those entrusted to inferior teachers [1,2]. Teachers must therefore be provided with the professional skills quality education and this requires professional development, in other words, through initial and in-service training for teachers[3]. CRMEF is primarily responsible for this performance by choosing future teachers and then qualifying them during the initial training they make available to them. Similarly to other countries, the Minister of National Education in Morocco organizes, at the beginning of each school year, a competition for the recruitment of candidates holding abachelor's degree, master's degree, professional degree in education science, or other diplomas equivalent to the regional centers of the trades of education and training (CRMEF)[4,5,6]. This is part of the training framework for teachers in the secondary school qualifying and collegiate in physical chemistry. In this study, the method of evaluating the written test seems to us to be a crucial and decisive factor in the choice of good future teachers. However, detailed item-by-item analysis of the entire written test has shown that such a test does not further discriminate candidates and does not allow an adequate choice of a good future teacher. RESEARCH CONTEXT Given the importance of the evaluation process in the field of recruitment, of future teachers, we proceeded to a counting of the notes associated with each item of the written test (MCQ). A careful analysis of these notes suggests that two-thirds of the candidates who passed the written test found it very difficult to approach the examination as a whole and did not average. This observation allowed us to hypothesize: To what extent the quality of the items (good and/or bad discrimination) proposed in the written test of the entrance examination to the CRMEF is decisive in the choice of good future Teacher (tie-breaker).
  • 2. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 19 | To verify our initial hypothesis we carried out a detailed analysis of each item of the written test (MCQ) in analogy with the quantitative norms P and ID. An estimate of the mean difficulty index and the average discriminatory power of the entire written test was made. THEORETICAL FRAME The item analysis is the set of statistical processes whose purpose is to evaluate the quality of an examination and the items (ie the questions) that compose it.This type of analysis has several advantages:  Obtain guidance on the accuracy and reliability of the results observed.  "Validate" a review by removing gaps where necessary.  Calibrate future exams.  Create an "item bank".  Improve wording of questions. The three-item analysis reports [7]that are "the test analysis report", "item analysis report" and "item advice report" are used to identify issues that are problematic, they would merit revision or replacement for a forthcoming review session. They also help identify the "best" questions, which should be inspired when writing new questions (item analysis report, item advice report). These last two reports are based on two important indicators: Difficulty / Facility Index (Pi), Discrimination index (ID). Pi: Item Difficulty / Facility Index (ranging from 0 to 1) is the proportion of students who have just answered an item i. An item is all the easier because it has a high index * P * and it is therefore to aim that the majority of items are neither too easy nor too difficult: that their P is distributed around 0.5. How to value this value? McAlpine[8]considers that the answers are too difficult (P <0.15, when less than 15% of respondents answered the question correctly), or too easy (P> 0.85, ie when at least 85% Have answered just) can be excluded from the MCQ. The first are "impossible", the second "trivial" and therefore neither allows the effective measurement of the skills of people passing the MCQ. (Fig.1, 2). ID: Discrimination Index (ID) is a variant of the Pearson correlation coefficient and is called r a ripple point (rpbis)[9]. It varies, like any correlation coefficient, between -1 and 1, and corresponds to the correlation coefficient between an item and the total score on the test. It is then important to see to what extent a given question in itself contributes to selecting "good" or "less good" candidates. Figures 1 and 2 below give the range of variation of the quantitative norms P and ID. Figure (1) :Difficulty / Facility Index Figure (2) :Discrimination Index (ID) RESEARCH METHODOLOGY The number of candidates enrolled in the entrance examination to the CRMEF for the 2015 - 2016 school year is 1286 and of what are selected to pass the written test is ninety. The written exam in the form of multiple choice questionnaires (MCQ) comprises 57 items divided into 11 themes six themes in physics and five themes in chemistry. The 6 physics themes contain 31 items and the 5 chemistry themes encompass 26 items. The sample used: The current study was conducted on 30 pseudo-randomly selected copies of ninety copies of the candidates who passed the written test of the CRMEF entry competition for the academic year 2015-2016.Using the results (correct and/or false) obtained in each copy of the sample used, it was possible to assume the quantitative P and ID standards associated with each item (Table 1 and 2) of the written test. A careful and parallel examination of the quantitative standards P and ID indices (difficulty and discrimination) was carried out in order to analyze finely the quality of the items proposed in the written test of the entrance examination to the CRMEF.The use of the results (correct and/or false) obtained in each copy of the sample used allowed the P and ID standards associated with each item (Table 1 and 2) to be assumed in the written test of the competition. RESULTS AND DISCUSSION: Detailed statistical analysis and discussion of each item in the written test 1.1. Physical:  Theme: mechanical :To verify our initial hypothesis, we carried out a detailed analysis of the different items of the written test A careful and parallel examination of the last two indices (P and ID) (Table 1, Fig. a) allows a fine analysis of the quality of the items. It is noted that items Q3 and Q4 have a very low difficulty / ease index equal to 0.1 and 0.03 respectively are both less than 0.15 ie less than 10% respectively 3% of the candidates answered just the question. The latter two percentages are very low,
  • 3. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 20 | which means that questions Q3 and Q4 are difficult to reach by the candidates, and the latter also have negative indices of discrimination (ID) (-0.23 and -0.16). Which means that it is the unsatisfactory candidates in general (on the whole questionnaire) who succeed well in these items, which may suggest that these items are a weak predictor of knowledge or skill measured in the test, And therefore we must consider its suppression, or that successful candidates in general succeed less well with these items: it is appropriate in this case to ask why. This suggests that the items Q3 and Q4 are non-discriminating and therefore to reject or reformulate or that the disciplinary level of candidates and very low. While the items, Q6 and Q5 have a difficulty rating of 0.2 and 0.23 less than 0.3 (less than 30% of the candidates responded correctly) means that these questions are difficult [10]. Is it normal that so many candidates have not met the objective measured by these questions? The difficulty index of questions Q2, Q9 and Q10 (0, 37, 0.4 and 0.4) is distributed around 0.5: these items are neither too easy nor too difficult (acceptable questions) [8]. The item Q8 with an index of difficulty 0.4 <P = 0.53 <0.6 a little more than 0.50 and discrimination index 0.15 <ID = 0.18 <0.24: question Discriminates well [9]. The question Q7 at P = 0.23 with a negative discrimination coefficient (ID <0) shows an inconsistency: the best candidates fail this question when the weak candidates succeed. This question with ID must be withdrawn from the bank. The remaining item on this theme Q1 (60% of candidates answered just) has a discrimination index of 0.36: excellent question [10].  Theme: electronic :This topic includes only two items Q11 and Q12 (Table 1, Fig. b) that have a difficulty index of 0.67 and 0.37 respectively (67% and 37% of the candidates responded correctly). The discrimination index of Q11 is ID = 0.47 and that of Q12 is ID = -0.13. This suggests that item Q11 is an issue that discriminates very well and that item Q12 is a non-issue Real interest in a certification assessment [11].  Theme: magnetism :The items, Q13, Q14 and Q15 of the magnetism theme (Table 1, Fig. c) have a Difficulty / Facility Index (P) which is in the range 0.4 <P <0.6 a little more than 0, 50 and a discrimination index (ID) (in absolute value) - 0.05 <ID <0.12: these items are neither too easy nor too difficult (acceptable questions) [8]. While item Q17 has a difficulty / ease index (P = 0.13 <0.15) non-discriminatory question and therefore to reject or reformulate or that the disciplinary level of candidates and very low and the item Q16 has a difficulty / ease index (P = 0.3) (30% of the candidates answered just) with an ID of - 0.19: difficult question [10].  Theme: electrostatic: Question Q18, (Table 1, Fig. d), has a difficulty / ease index(P = 0.57 <0.6): this item is neither too easy nor too difficult (an acceptable question) [8]. While item Q21 of difficulty / ease index (P = 0.07 <0.15): 7% of the candidates answered just. This too difficult question does not discriminate so should be discarded from the MCQ. The items, Q19 and Q20 have a difficulty / ease index that is very close to 0.35 are classified as excellent questions (good discriminates). The remaining item Q22 has an index P = 0.17 between 0.15 and 0.24: marginal issue: to be revised.  Theme: optics : In this theme the items (Table 1, Fig. e), Q23, Q24, Q25, Q26 and Q28 have an index P which is distributed around 0.5 which means that the majority of the items are neither too easy nor too Difficult. For item Q27 only 10% of respondents answered just the given question, which proves that it is difficult (less discriminating).  Theme: wave: The difficulty / ease index of the two items Q29, and Q30 is less than 0.24: marginal questions: to be revised[8]. The last question Q31 (P = 0.43: 43% answered just this question) is discriminating (Table 1, Fig.f). Table 1 : Levels of candidates byphysicaltheme THEMES Item Coef/Item ERJ ERF ERN FRJ(%) P PQR(%) MECHANIC Q1 2 18 9 3 60 0.6 20 Q2 2 11 16 3 37 0.37 Q3 3 3 24 3 10 0.1 Q4 2 1 28 1 3 0.03 Q5 1 7 23 0 23 0.23 Q6 2 6 24 0 20 0.2 Q7 2 7 21 2 23 0.23 Q8 2 16 11 3 53 0.53 Q9 2 12 15 3 40 0.4 Q10 2 12 14 4 40 0.4 ELECTRONIC Q11 2 20 10 0 67 0.67 50 Q12 3 11 16 3 37 0.37 MAGNETISM Q13 2 13 15 1 43 0.43 20 Q14 2 16 13 1 53 0.53 Q15 2 13 16 1 43 0.43 Q16 2 9 18 3 30 0.3 Q17 2 4 22 4 13 0.13 ELECTROSTATIC Q18 2 17 12 1 57 0.57 10
  • 4. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 21 | Q19 2 9 19 2 30 0.3 Q20 2 10 19 1 33 0.33 Q21 2 2 25 3 7 0.07 Q22 2 5 19 6 17 0.17 OPTIC Q23 2 15 15 0 50 0.5 17 Q24 2 9 14 7 30 0.3 Q25 1 10 10 10 33 0.33 Q26 2 11 11 8 37 0.37 Q27 2 3 26 1 10 0.1 Q28 2 9 17 4 30 0.3 WAVES Q29 2 7 22 1 23 0.23 0Q30 1 7 21 2 23 0.23 Q31 1 13 16 1 43 0.43 PQR Proportion of successful questions FRJ Frequency of correct answers ERJ Effect of fair answers P Index of difficulty ERF Effect of false answers Coef/Item Coefficient par Item ERN Effect of non-response questions
  • 5. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 22 | 1.2. Chemistry  Theme: structure of matter :It consists of six items (Table 2, Fig. g), three of which are too easy "trivial", Q32, Q35 and Q36 with a difficulty / ease (P) index of 0.9, 0.83 and 0,87 all greater than or equal to 0.85. These questions where all the candidates succeed (P> 0.85) are not sufficiently informative because they do not discriminate candidates. Moreover, if the examination includes only very easy or very difficult questions, it does not make it possible to discriminate two average candidates since both will succeed all the easy questions and will fail to all the very difficult questions, so they will both same rating. These items should be excluded from the MCQ [8]. Items Q33 and Q37 both have nearly the same difficulty / ease index equal to 0.6 (ie 60% of the candidates answered just) discriminate well (excellent questions). The remaining item Q34 has an index P = 0.23 between 0.15 and 0.24: marginal question: to be revised.  Theme: chemical thermodynamics : Questions Q38, Q40, Q41 and Q42 of the chemical thermodynamic theme (Table 2, Fig. h) all have a difficulty / Ease (P) index which is in the range 0.3 <P <0.7 and a Discrimination (ID) which is in the range 0.25 <ID <0.34 which suggests that these items are acceptable (good questions). Item Q39 of difficulty / ease index P = 0.53 and discrimination index ID> 0.35 is an excellent question [8].  Theme: reactions in aqueous media :The three items, Q43, Q44 and Q47 of the reactions in aqueous solution (Table 2, Fig. i) contain a difficulty/facility (P) index that settles in the range 0.3 <P <0.7 and one Index of discrimination in the range 0.25 <ID <0.34 which suggests that these items are acceptable (good questions). Items Q46 and Q48 are questions of average difficulty (P = 0.50), it will discriminate correctly the average subjects, but will not discriminate weak subjects among themselves (because they will fail all questions) or (because they will succeed all the questions). The remaining item Q45 has a difficulty/ease index equal to 0.13: question too difficult.  Theme: Chemical kinetics :The chemical kinetic theme (Table 2, Fig. j) contains five items. Items Q50 and Q52 both have a Difficulty / Ease (P) index of less than 0.15 and therefore are too difficult. While the other three, Q49, Q51 and Q53 have an index P in the range 0.3 <P <0.7 and a discrimination index (ID) that is in the range 0.25 <ID <0.34 which suggests that these items are acceptable (good questions).  Theme: organic chemistry : The four items, Q54, Q55, Q56 and Q57, of the organic chemistry theme (Table 2, Fig. k) all have a Difficulty / Facility Index (P) which intercalates on the interval 0.3 <P <0.7 And a discrimination index (ID) that finds in the range 0.25 <ID <0.34 and therefore are good questions. Table 2 : Level of candidates bychemicaltheme THEMES Item Coef/Item ERJ ERF ERN FRJ(%) P PQR(%) STRUCTURE OF MATTER Q32 2 27 2 1 90 0.9 83,33 Q33 1 19 10 1 63 0.63 Q34 1 7 21 2 23 0.23 Q35 1 25 4 1 83 0.83 Q36 2 26 2 2 87 0.87 Q37 1 18 11 1 60 0.6 CHEMICAL THERMODYNAMICS Q38 2 9 21 0 30 0.3 20 Q39 2 16 11 3 53 0.53 Q40 2 9 20 1 30 0.3 Q41 2 13 15 2 43 0.43 Q42 2 13 16 1 43 0.43
  • 6. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 23 | REACTIONS IN AQUEOUS MEDIA Q43 1 23 6 1 77 0.77 50 Q44 3 9 15 6 30 0.3 Q45 3 4 22 4 13 0.13 Q46 2 15 14 1 50 0.5 Q47 2 14 10 6 47 0.47 Q48 1 15 12 3 50 0.5 CHEMIQCAL KINETICS Q49 1 8 20 2 27 0.27 0 Q50 1 1 27 2 3 0.3 Q51 1 10 17 3 33 0.33 Q52 2 2 21 7 7 0.07 Q53 1 7 18 5 23 0.23 ORGANIC CHEMISTRY Q54 1 14 14 2 47 0.47 50 Q55 1 16 11 3 53 0.53 Q56 1 20 8 2 67 0.67 Q57 1 9 19 2 30 0.3 PQR Proportion of successful questions FRJ Frequency of correct answers ERJ Effect of fair answers P Index of difficulty ERF Effect of false answers Coef/Item Coefficient par Item ERN Effect of non-response questions
  • 7. Didactic analysis of the items proposed in the competition test of entry to the CRMEF of the graduate professors...... | Volume 1 | Issue 8 | www.ijrtem.com | 24 | CONCLUSION The careful analysis of the 57 items of the written test (MCQ) divided into 11 themes (6 themes in physics including 31 items and 5 themes in chemistry comprising 26 items) led us to conclude that:  The average difficulty index of the test was optimal, ie 0.41;  Items classified as good or excellent were moderately predominant, accounting for 52% of the total;  Difficult items accounted for 17.5% of the questions with wide variations within disciplines;  Average items accounted for 12.3% of total questions;  The percentage of questions to be revised (7%) and / or rejected (10.5%) is relatively large compared to all items.  The discriminating power of the whole test was average, an average discrimination index of 0.28. Discrimination issues accounted for 17.5% of the total, 7% to be revised and 10.5% to be rejected. The best discrimination was found for difficult disciplines ranging from 0.4 to 0.6. The analysis of items showed that the test was of relatively acceptable internal consistency and of medium quality in terms of difficulty and discrimination. They tended to be easy and discriminated mainly between middle students. Ongoing analysis will further improve their quality. The result thus obtained showed that the difficulties encountered by the candidates. The written test are related not only to the disciplinary deficiencies but also to the way in which it is structured the written test (MCQ) which suggests that this test is not decisive in the choice of good future teacher. REFERENCES 1. Barber, M. et Mourshed, M. (2007). Les clés du succès de systèmes scolaires les plus performants. New York, NY : McKinsey and Co. Repéré à https://mckinseyonsociety.com/downloads/reports/Education/How_the_Worlds_Best_ Performing_french.pdf 2. Sanders, W. L., & Rivers, J. C. (1996). Cumulative and residualeffects of teachers on future studentacademicachievement : Researchprogress report. Repéré à http://www.cgp.upenn.edu/pdf/Sanders_Rivers-TVASS_teacher %20effects.pdf 3. Gauthier, C. et Tagne, G. (2014). À propos de la performance des systèmes éducatifs et de leur amélioration. Formation et profession, 22(2), 74-77. http://dx.doi.org/10.18162/fp.2014.a45 4. Décret n° 2.11.672 du 27 Moharem 1433 (23 décembre 2011) relatif à la création et l’organisation des centres régionaux des métiers de l’éducation et de formation. 5. Décret n° 2.11.621 du 28 Hija 1432 (25 novembre 2011) fixant les conditions et modalités de l’organisation des concours de recrutement aux postes publics 6. Arrêté n° 2200.12 du 29 Joumada I 1433 (21 mai 2012) fixant les modalités d’accès au cycle de qualification des professeurs de l’enseignement secondaire qualifiant 7. Consilium Benelux (2011). ConTest Statistics. Version 0.19. Mars 2012. 8. MhairiMcAlpine. Principles of assessment. Technical Report, CAA Centre, 2002b 9. Cronbach, L. J. (1951). Coefficient alpha and the internal structure of tests. Psychometrika, 16(3), 297-334. 10. Rajae KADIRI (2011/2012). Guides pour la rédaction des QCM. p. 21 11. EBEL, R.L. (1965). Measuring Educational Achievement. Upper Saddle River, New Jersey (USA): Prentice-Hall education series