Analytical Hierarchy Process Applied to Pedagogical Method Selection Problems

&e purpose of this study is to apply multicriteria decision-making (MCDM) methods, namely, analytic hierarchy process (AHP) for selecting the best pedagogical method able to develop the soft skills required by the job market with respect to the preference level assigned by employers to each soft skill. &e evaluated pedagogical strategies are experiential pedagogy (EP), project-based learning (PjBL), problem-based learning (PBL), serious games (SG), Harvard case method (HCM), and lecture course (LC). Ten criteria (soft skills) were identified from a previous quantitative content analysis of engineering job ads in Morocco in order to identify the extent to which soft skills are required by employers. &ese skills include communication, efficiency, adaptability, decision-making, innovation, problem resolution, team working, project management, professional responsibility, and using technology in engineering practice. After pairwise comparisons between all the evaluated alternatives with respect to each criterion, results show that experiential pedagogy is the optimal solution to develop the soft skills demanded by the job market.


Introduction
Soft skills refer to a set of personal and interpersonal skills that are very necessary for every job success by improving students' employability. In order to stay, competitive schools must develop the soft skills required by the job market using innovative and attractive pedagogical strategies. Choosing the best pedagogical methods able to develop the soft skills with respect to the market requirements is an important challenge faced by Moroccan engineering schools. In this work, this challenge is studied as the multicriteria decisionmaking problem where criteria are the soft skills needed by Moroccan employers which were identified during our previous study; pedagogical strategies involved in engineering education represent the alternatives to be evaluated using AHP method.
is research project is part of the framework of improving the employability of engineers through the promotion of the acquisition of soft skills. In the course of this study, we will highlight the importance of establishing a perpetual collaboration between the professional and academic worlds for any capitalization of needs, feedback, and good practices in the development of sustainable employability skills. e need to train qualified and operational graduates is a shared responsibility between these two stakeholders. e paper is organized as follows. In Section 2, we present different pedagogical methods that will be evaluated through this study. In Section 3, we present the soft skills required by Moroccan job market as a result of our previous quantitative study. Section 4 shows differences between the MCDM methods and justifies the use of the AHP method. In Section 5, we apply AHP method to choose the optimal pedagogical method enabling us to achieve the study goal.

Interactive Lecture Course.
Lecture course (LC) is a teaching activity belonging to the transmissive model of teaching where instructor plays a key role in the learning process by teaching oral content to a large group of students. e interactivity of the lecture course involves the student's reaction to the teacher's discourse through discussions or exercises [1,2]. e use of this model can be justified when it comes to transmitting new concepts that do not require specific prerequisites. e relevance of lecture courses is often criticized by the fact that they are based on a simple transmission of knowledge whereas engineering or any professional training requires the development of a set of skills required by the job market [3][4][5].

Project-Based Learning (PjBL).
Project-based learning (PjBL) belongs to active pedagogical methods where learning is centered on the student's activity. In this method, the learner develops knowledge and skills by carrying out a concrete team-based production [6,7]. e instructor facilitates the learning progress by coaching and supervising teams. is pedagogical strategy enables students to apply the acquired knowledge and skills in practical situations in order to develop and strengthen key employability skills such as teamwork, critical thinking, communication, autonomy, decision-making, and creativity [8][9][10]. To make a successful project, students must be able to manage a set of factors defining the project, namely, resources, time, quality, and other specifications. In this way, the learner develops the managerial skills required by the professional world. Projectbased learning can be applied according to the phases presented in Figure 1 [10]. e project must be well achievable and dimensioned in relation to the students' capacities by presenting objectives that can be achieved within an acceptable deadline. It must also allow learners to develop the skills and knowledge preestablished by the teacher who plans and defines the project according to the learning objectives. Students must understand the project specifications and plan and implement the action plan independently and under the supervision of the instructor who evaluates results achieved by students in terms of deliverables and acquired skills.

Problem-Based Learning (PBL).
Problem-based learning (PBL) is an active pedagogical method based on the involvement of the learner in the learning process. It begins with a problem situation stimulating learner thinking by working as a team to find possible solutions to the problem. Teacher facilitates learning by choosing or designing the problem situation from professional context that is likely to develop the targeted skills and abilities. It also guides the problem-solving approach adopted by students [8]. After reviewing the literature, the PBL generally includes the phases described in Figure 2 [8,11].
PBL enables learners to develop a set of skills and abilities such as autonomy, communication, teamwork, analytical thinking, decision-making, creativity, project management, and entrepreneurship [8,11]. PBL and PjBL are two pedagogical methods that are similar in that they are both carried out within the context of a project. However, instructors must necessarily distinguish between these two different strategies. Table 1 describes some points of divergence between PjBL and PBL [6,8].

Harvard Case Method.
Harvard case method (HCM), developed at Harvard University, is an active pedagogical strategy aimed at confronting students in small groups with experienced professional situations in order to understand the real use of the concepts studied in the course. It is based mainly on the interaction between the instructor and the  2 Education Research International student by assigning them different roles presented in Table 2 [8,12,13]. e case method allows the student to face a concrete decision-making situation supervised by the teacher in order to develop the skills required to train tomorrow's decisionmakers such as analytical and synthetic thinking, decisionmaking, communication, and teamwork. is method replaces traditional application exercises with concrete case studies to motivate students to become more involved in the learning situation.

Experiential
Pedagogy. Experiential pedagogy (EP) is a pedagogical method that promotes learning through participation in professional activities. e experience allows students to adapt their knowledge and abilities to the context they have encountered [14]. It also allows students to develop skills that are widely required by employers such as autonomy, self-confidence, initiative, problem solving, professional involvement, and social responsibility [15].
Experiential learning, according to Kolb, is based on two principles: the first requires that knowledge must be constructed from lived experiences; the second uses new experience to validate constructed knowledge. For him, this type of learning can only be accomplished if it is composed of four essential phases that constitute Kolb's learning cycle presented in Figure 3 [16,17].
For example, in engineering education, students must complete their academic training with internships in companies where they benefit from academic supervision provided by a school teacher and industrial supervision provided by a field professional. e internship, as well as experience in the job market, improves the employability of future graduates by enabling them to develop the skills necessary for them to be operational in their workplace, namely, communication, social responsibility, professional commitment, and managerial attitudes.
2.6. Serious Games. Serious games (SG) are not designed for a main purpose to entertain, but instead, they are used to achieve particular learning objectives in many fields such as education, health care, manufacturing, planning, engineering, security, and crisis management. SG can be used to promote a set of skills including initiative, decision-making, adaptability, creativity, problem solving skills, communication, team working, leadership, professional ethics, and social responsibility [18][19][20]. ey are largely used in education due to their ability to use latest modelling and simulation technologies to engage students in an environment close to the realistic experience where they will develop their skills and abilities [21]. Entertainment and learning are coupled with SG according to the following hypotheses [22]: (i) Facilitator hypothesis: where more learning performance requires more entertainment (ii) Distraction hypothesis: when entertainment increases, learning performances decrease (iii) Moderate entertainment hypothesis: in which entertainment must be used moderately. If it exceeds a certain level, learning performance can decrease Serious games are classified into three major categories presented as follows: (i) Learning games: they aim to increase knowledge and developing skills by exposing students to a learning situation which may or may not be close to the real practice (ii) Persuasive games: they are used to convey informative, persuasive, and subjective message and are widely adopted in particular fields including advertisements, marketing, and politics (iii) Simulation games: they enable learners to develop particular skills and abilities by exposing them to realistic simulation situations promoting skills practice

Identification of the Soft Skills Required by Moroccan Job Market
Soft skills (SS) refer to a set of personal, interpersonal, managerial, social, and ethical skills that enable engineers to improve their employability. We have previously conducted a study aimed at identifying the soft skills required in Moroccan engineering education. For this reason, we have analyzed engineering job ads in different fields. is study has enabled us to determine the importance given by employers to the soft skills presented in Table 3 [23,24]. Soft skills can be developed simultaneously by the pedagogical method presented above. In order to stay competitive, engineering schools must take advantage of the contribution of decision-making methods in order to choose teaching strategies enabling students to develop the soft skills according to the market requirements. All students in the team must develop the same skills Student develops the competence related to the task assigned to him/her Education Research International e improvement of Moroccan engineers requires a real collaboration between these two stakeholders: (i) Academic staff: through their expertise in the field of engineering education. In our study, we involved academics to compare pedagogical methods on the basis of their ability to evaluate and compare different learning and teaching strategies. (ii) Professionals in the labor market: through their feedback on the professional insertion of Moroccan engineers and their visibility on the skills required by employers. In our study, the use of professionals' feedback has enabled us to determine which soft skills are in high demand and which are in low demand.
While examining the literature, in relation to Moroccan engineers' employability, we found that there is a lack of studies that focus on collaboration between schools and industry in the development of teaching and follow-up program. Existing studies have a one-dimensional aspect, whether they work on the training aspect within the school or they are limited to the professional context. e interest of using multicriteria decision-making method in our study is   justified by the willingness to take into account this considerable collaboration between academics and professionals in the job market.

Multicriteria Decision-Making (MCDM) Methods
In a multicriteria decision-making (MCDM) situation, decision-makers are faced with a complex problem with multiple criteria where they should choose the optimal solution using specific MCDM method according to the steps presented in Figure 4 [25,26]. e problem must be clearly defined in order to choose the best MCDM method. Alternatives represent the possible solutions to the problem while respecting the identified goal. ey are described and evaluated according to specific criteria. Decision-makers must apply a suitable MCDM method in order to achieve the optimal solution.
MCDM methods are widely applied in many fields such as business, government, manufacturing, education, research, and medicines. While examining the literature, a variety of decision-making methods can be found, each having its advantages and limitations [27][28][29][30][31]. e following are some of the widely used MCDM methods which will be briefly presented and compared in Table 4.
When compared to other MCDM methods (Table 4), AHP is characterized by its easiness, flexibility, and ability to simplify multicriteria and multialternative problem into a hierarchical structure. It also helps decision-makers to compare alternatives using pairwise comparison with respect to each criterion while checking judgment consistency using particular indicators. On the other hand, AHP presents two kinds of limitations: (i) Ranking requires deep knowledge of the object to be judged: in our study, ranking is made on the basis of both academic and professional points of view; both of them have deep knowledge of engineering soft skills (ii) Important number of pairwise comparison process: in our study, pairwise comparisons present points of intersection and communication between academics and professionals which will encourage the sharing of good practice As a result, the disadvantages presented by the AHP method do not strongly affect our decision problem.

Previous Studies: AHP Use in Different Fields
A review of the literature shows that the AHP method has several uses in different multicriteria decision-making situations; Table 5 presents some of these studies.

Analytic Hierarchy Process (AHP) Applied to
Learning Strategy Selection Problems

Decision-Makers.
In order to carry out this study, we have constructed a focus group of academics (professors, heads of departments), researchers, and professionals (experts (in charge of professional skills development)). is decision problem concerns different stakeholders of the engineering school. For this reason, we have chosen a multidisciplinary team enabling us to make objective and reliable judgments.

Analytic Hierarchy Process (AHP)
Steps. Analytic hierarchy process (AHP), developed by Prof. omas L. Saaty, is a multicriteria decision-making method that helps decompose any complex problem into a structured hierarchy of the problem goal, criteria, and alternatives to help decisionmakers choose the optimal solution that best suits the problem's parameters [35]. e AHP can be applied according to the following steps presented in Figure 5.
All the steps presented in Figure 5 will be sufficiently presented in the following sections.

Setup of the Hierarchical Structure.
In order to simplify the problem, AHP method suggests starting with setting a hierarchical structure composed of the problem goal (1st level), criteria (2nd level), and the alternatives to be evaluated (3rd level) as shown in Figure 6 [36,37]. e goal of our study is to select a suitable learning strategy able to best develop all the soft skills representing criteria which are prioritized by the employers through a quantitative content analysis of the market job ads.  Education Research International 6.4. Criteria Comparison. In order to set up the priority vector for criteria, AHP suggests an n × n pairwise comparison matrix A [36,37].
where a ij is the element of row i column j of the matrix, n is the number the evaluated criteria, a ji � (1/a ij ) , and a ii � a jj � 1. a ij represents the importance of the criterion i when compared to the criterion j: (i) If a ij > 1, the criterion i is more important than the criterion j  e importance of this study lies in using the AHP method to investigate mechanical and morphological properties of acrylonitrile butadiene styrene nanocomposite foams. e study results show the following: (i) Holding pressure is the most effective parameter on cell size, cell density, and relative density with the contribution of 90%, 70%, and 41%, respectively (ii) Nanoclay content is the most effective parameter on the tensile strength and hardness with the contribution of 79% and 89%, respectively Mahmudova, and Jabrailova [33] e study develops an algorithm by using the AHP method to evaluate the functionality of software. e authors carried out several pairwise comparisons in order to determine which of these criteria, correctness, compatibility, and accuracy, is more important in measuring software performance Jurík et al. [34] e paper aims to present the application the AHP method for project selecting in the context sustainable development using the following criteria: (i) Production (ii) Return on investment (iii) Allocation of hours for the production of the machine (iv) Usability of an empty production area (v) Number of employees-direct staff (vi) Number of special positions-indirect staff (vii) Defect rate with less impact on the environment (%) (viii) Defect rate leading to the production of hazardous waste mercury (kg) (ix) Electricity consumption (kW) 6 Education Research International

Education Research International
(ii) If a ij < 1, the criterion i is less important than the criterion j (iii) If a ij � 1, the criteria i and j have the same importance In AHP, the relative importance between two criteria is evaluated on the basis of a numerical scale ranging from 1 to 9, as described in Table 6.
Criteria comparison and AHP scale assignment have been performed by the focus group on the basis of the job market requirements shown in Table 3.

Priority Vector for Criteria.
After building the matrix A, the priority vector of criteria is calculated using the following steps [38,39]: (1) Normalized pairwise comparison matrix A norm : it is a matrix where the sum of the entries of each column is equal to 1; i.e., n i�1 a ij � 1.
e matrix A norm entries a ij are calculated using the entries a ij of the matrix A using (2) e priority vector of criteria: it is an n-dimensional column vector P.
P is achieved by averaging the entries of each row of the matrix A norm using 6.6. Consistency Test. In order to check the consistency of the comparisons made by decision-makers, namely, the matrix A, AHP suggests a technique based on testing the consistency ratio (CR) which is calculated using formula (6) (Lokare, and Jadhav, 2016) [38,39]: where CI is calculated using where ƛ is calculated using RI is a random index changing according the order n of the matrix as shown in Table 7.
(i) If 0 ≤ CR ≤ 0.1, the evaluations made by the decisionmaker are consistent (ii) If CR > 0.1, the judgment made by the decisionmaker is inconsistent; as a result, the evaluations must be revised e priority vector of criteria with respect to the goal is presented in Table 8 where CR � 7.3% ≤ 0.1 which represents a validated consistency test.

Alternatives Comparison.
After checking the consistency of the matrix of the criteria comparison, an m×m pairwise comparison matrix B k must be built for each of the n criteria (k � 1, . . ., n). In this matrix, alternatives are compared with respect to the criteria; m is the number of alternatives to be evaluated.
where b k ij represents the evaluation of the alternative i compared to the alternative j with respect to the criterion k. e entries of this matrix satisfy the following conditions:

Scale
Relative importance of factor i compared to factor j 1 Equally important 3 Moderately more important 5 Strongly more important 7 Very strongly more important 9 Extremely more important 2, 4, 6, 8 Intermediate values e same scale used to compare criteria (Table 1) is used to evaluate and compare the alternatives with respect to each criterion.
Prioritization of pedagogical strategies using AHP method shows that experiential pedagogy (EP) is the best choice as a learning strategy able to develop engineering soft skills with respect to the market requirements with a highest score of 41% followed by serious games (SG), project-based learning (PjBL), and problem-based learning (PBL) with closely situated score of 19%, 17%, and 15%, respectively. Harvard case method (HCM) and lecture course (LC) have the lowest scores in relation to the goal: 6% and 3%, respectively.

Conclusion
e importance of this study lies in providing a practical case of a real collaboration between engineering schools and industry in order to reduce the skill gap between learning outcomes and on-the-job requirements. On the one hand, employers are looking for a highly skilled workforce in order to be more attractive and competitive. On the other hand, educational institutions need to improve their students' employability by developing the skills required by the job market. rough the use of the AHP method, we have shown academics and professionals the importance of their collaboration in achieving mutual benefit.
is paper aims to use AHP method to select the best pedagogical method that is able to develop soft skills while respecting the job market requirements. e study is based on a set of criteria that are identified from our previous study, where we have analyzed engineering job ads in order to determine the importance of soft skills in the engineers' employability. e decision problem consists of the comparison of different pedagogical strategies applied in engineering education.
e results show that experiential pedagogy (EP) is the optimal solution to answer the market demand with a highest score of 41%. As a result, considerable efforts must be devoted to properly supervise the internships and ensure continuous monitoring and charting of student performance because this learning strategy represents a chance to make the student operational in the market by applying his/her knowledge and abilities in real professional situations.
Data Availability e soft skills required by Moroccan employers data used to support the findings of this study have been made available in a previous work online in [23].

Conflicts of Interest
e authors declare that they have no conflicts of interest.