1. Introduction
To achieve the Sustainable Development Goals 2030, the United Nations Educational, Scientific, and Cultural Organization established an organization named International Task Force on Teachers for Education 2030 in September 2019. The organization consists of 130 members, 85 of whom work in national governments. According to the aforementioned organization, teachers are one of the most influential factors affecting education equity, opportunities, and quality, as well as the continuity of global development [
1]. To fulfil its commitment to the Sustainable Development Goals 2030, the Chinese government [
2] issued China’s Education Modernization 2035, which aims to introduce Chinese wisdom, experience, and programs to global education development through practical actions. The policy incorporates eight fundamentals of China’s education modernization plan, namely ethics prioritization, well-balanced development, lifelong learning, personalized teaching, integration of knowledge and practice, people orientation, integrated development, and coconstruction and sharing. To realize these principles, the Chinese government implemented one of its ten major education modernization strategies: formulating a team of high-quality, professional, and innovative teachers and continually building teacher teams as a part of basic missions [
2]. Thus, university teachers with high knowledge and competency levels are crucial to China’s continual education development [
3,
4].
Education for sustainable development (ESD), which has attracted increasing attention, has caused new challenges in education development, especially to teachers’ competencies. Nevertheless, a limited number of studies have been conducted on teachers’ competency for ESD [
4]. Moreover, observing and evaluating these competencies are considerable challenges [
5]. Few studies have explored models on teacher competency for ESD. According to the 10-year sustainable development and ESD programs of the United Nations, Rauch and Steiner [
6] explored, in detail, the factors affecting Austrian teachers’ competency for ESD and established an ESD competency model. Bertschy, Künzli, and Lehmann [
4] examined and compared the advantages and disadvantages of two models on educators’ competencies, namely the curriculum, sustainable development, competencies, teacher training (CSCT) competence model and competences in education for sustainable development (ECE) model. The aforementioned two models emphasize the ESD competency that teachers need in a particular area [
7]. Parker [
8] investigated methods for developing teachers’ interdisciplinary competency in higher education, which is one of the key elements for ESD competency. In summary, studies have focused on the key elements of competency for ESD but not on the correlation between ESD competency and other types of teacher competencies.
Dr Montoya [
9], the director of the United Nations Educational, Scientific, and Cultural Organization Institute for Statistics, indicated that ESD is based on teachers’ continual learning and training and rooted within their continual improvement in the training. To attain the sustainable development of China’s higher education, China’s universities must strengthen and adjust the directions and policies of university teacher ESD competency training. However, most Chinese universities have long adopted a pre-established teacher competency model and training system. Abolishing the system and establishing a new ESD competency model and training system would cost a large amount of social and economic resources. Therefore, using the existing teacher development mechanism to improve teachers’ competency for ESD is a compromise and an appropriate strategy. This strategy is particularly useful for regional universities, which have limited resources. In the present study, according to the evaluation data on university teachers’ competencies, the rough-dominance set approach (DRSA), a data mining method, was employed to establish a new ESD competency model for Chinese university teachers. This novel model focuses on the relationship between teachers’ competency for ESD and their other types of competencies. Thus, the model assists decision makers in systematically planning teacher training and in improving and developing the competency for ESD through only a limited amount of adjustment in the existing training and development activities. Several original crucial competency indicators can be developed continuously, and competency for ESD can be reinforced without incurring high costs or abandoning the existing teacher development system.
This paper employed the DRSA to establish a model on the behavior pattern between the existing teacher competencies (i.e., condition attributes) and competency for ESD (i.e., decision attributes). A set of rules, shown in the form of “if…then”, is derived for construing the connection between conditional attributes and decision attributes. DRSA has the following advantages: (1) the decision rules of competency for ESD are described using natural languages, which enables decision makers and managers to easily understand the actual behaviors involved in the competencies; (2) the core competency attributes in the existing teacher competency model that are closely related to competency for ESD are identified to enable decision makers and managers to reduce resource investment for the attributes not highly related to competency for ESD without affecting the development of the competencies; and (3) the decision rules facilitate the enhancing of competency for ESD through the improvement of other types of competencies in the existing teacher competency model. The DRSA-based model derives a rule according to teacher competency evaluation data to enable decision makers to improve teachers’ competency for ESD. Accordingly, universities can formulate appropriate strategies for adjusting the existing teacher development system in a limited capacity to improve teachers’ competency for ESD. This study focused on the International Scholarly Exchange Curriculum (ISEC) programme, the primary targets of which were regional universities in China. Most Chinese universities are regional. They comprise the highest proportion of university teachers in China’s higher education system. Thus, the data obtained from the ISEC program have high representativeness.
Section 2 introduces a review of ESD-related studies. The research procedure of the DRSA is presented in
Section 3. Subsequently, an empirical study on education pilot projects implemented in Chinese universities is analyzed. Next, there are some discussions for an interpretation of the research consequences. Finally, the conclusions of this study are provided, including the research ideas, contributions, limitations, and future research directions.
2. ESD and Competency for ESD
The concept of ESD [
10] first appeared in Agenda 21, which was released by the United Nations Conference on Environment and Development in 1992. According to the agenda, education is crucial for facilitating sustainable development and advancing people’s capability to solve problems pertinent to the environment and development. ESD focuses on preparing young generations in becoming responsible citizens. It aims to enable them to improve society through sustainable means and to become responsible for themselves and their offspring through the concept of sustainable development [
11,
12]. Due to problems related to the environment and societies, ESD requires qualitative changes in education ideas, methods, and goals [
13]. In the background of higher education for sustainable development (HESD), the conceptualization of teachers’ competency for ESD and their expression in curricula teaching are highly complex. Increasing attention has been given to the methods that universities from around the world, and their stakeholders, can use to foster teachers’ ESD competency [
14].
Competencies are active combinations of knowledge, abilities, and intentions that enable people to successfully and responsibly respond to changing conditions [
15]. The concept of competency was considered an important milestone in the direction of teaching for sustainable development. Correspondingly, teachers’ ESD competency was then proposed [
15]. The successful implementation of ESD requires participation by competent and dedicated teachers, who are crucial to the promotion of reforms. Teacher education must involve the active consideration of the knowledge and competencies required by teachers for the positive promotion of ESD-oriented reforms [
16]. However, according to Bertschy, Künzli, and Lehmann [
4], the research on teachers’ competency for ESD is a relatively new topic, and previous research is limited. Research on ESD, which emerged in 2009, is yet to mature. Studies have explored ESD from two directions: (1) analyzing which elements should be considered as part of teachers’ competency for ESD and (2) developing an ESD competency model.
Studies have indicated that society-oriented teaching competencies or competencies based on social science must be developed [
17,
18,
19]. Burmeister, Rauch, and Eilks [
12] stressed teaching competencies that are problem-oriented and based on social critiques. Weinert [
15] contended that ESD must involve teachers in improving their sustainable competencies. Parker [
8], as well as Bürgener and Barth [
16], contended that teachers’ interdisciplinary teaching competencies are critical in the training of students’ sustainable development competencies. According to Adomssent, Godemann, Michelsen, et al. [
20], in higher education, teachers’ competencies in providing students with a combination of formal and informal learning environments are crucial. In an experiment at James Cook University, Tomas, Girgenti, and Jackson [
21] reported that practice-oriented teaching competencies should be reinforced to strengthen ESD. In a study on higher education institutions in Europe, Lozano, Barreiro-Gen, Lozano, et al. [
22] verified that teachers’ understanding of new teaching methods and capability of suitably using them could reinforce students’ sustainable development competencies effectively.
In addition to the elements of ESD competency for teachers, studies have examined the frameworks and models of these competencies. Selvi [
23] described teachers’ competencies by using a framework with nine dimensions: domain competency, research competency, curriculum competency, lifelong learning competency, social and cultural competency, emotional competency, communication competency, information and communication technology competency, and environmental competency. Sleurs [
24] established the CSCT model, which incorporates four elements of competency for ESD (i.e., curriculum, sustainable development, competencies, and teacher training) and emphasizes individual teachers. In addition to teachers’ professional competence, CSCT incorporates their overall personalities as well as individual and social behaviors into the factors of sustainable development. CSCT emphasizes comprehensive educational incentives and stresses the use of holistic approaches to solving the complexity of ESD competency. Achieving ESD goals requires teachers to possess specific competencies that can be applied for general educational product innovation [
25]. The ECE model presented by the United Nations Economic Commission for Europe [
26] suggested defining the educator in four competence fields and three target domains. Rauch and Steiner [
6] developed the competences for ESD in teacher education (KOM-BiNE) model for the in-depth analysis of teachers’ competencies related to interdisciplinary topics, such as sustainable development and ESD. The model was a part of a major project of the European Union, which was based on competencies in fields of action. In a three-year project funded by the European Union, Vare, Arro, de Hamer, et al. [
27] developed a practical ESD educator authentication model.
The aforementioned studies contributed critically to the conceptualization of competency for ESD. The elements and descriptions of competency of ESD have become more and more transparent; the ESD competency model is still being developed, providing a practical reference for strengthening teachers’ ESD competency.
3. Methodology
Pawlak [
28] developed a soft computing method named rough set theory (RSA), which involves determining the behavior pattern between decision and condition attributes on the mathematical basis of set theory. The RSA also enables the simultaneous processing of quantitative and qualitative data [
29]. The theory enables the processing of inconsistent information without prior knowledge [
30], such as probability distribution. Moreover, it can express the behavior pattern behind data through the ‘if-then’ decision rule, which enables decision makers to comprehend the correlation between attributes [
31,
32] and determine additional information relevant to decision-making, such as sets of core condition attributes, sets of reduced condition attributes, levels of importance of condition attributes, and the decision rules for classifications of decision attributes. Compared with other commonly employed black-box algorithms, such as the artificial neural network (ANN) and the support vector machine (SVM), rough set theory is more suitable for solving problems related to decision-making in the field of management.
Due to the fact that the original rough set theory cannot process the preferential relationships between attributes [
33,
34], Greco, Matarazzo, Slowinski, et al. [
35] expanded upon the theory. The expansion involves the replacement of indiscernibility relationships with dominant relationships in the rough approximation of decision attributes [
36,
37]. This replacement prevents the paradoxes that may be caused in the processing of sequential information by using the original RSA, which is based on equivalence relationships [
38,
39]. The expanded RSA has been applied in numerous fields of service, such as online open courses [
37], pollution management strategy-making [
40], airline performance evaluation [
41], spare part classification [
42], agricultural fund allocation [
43], research and development project selection [
44], financial performance evaluation [
32], and pavement maintenance [
31]. The definition and calculation procedures of this theory are as follows:
Step 1: Information system
There are four elements in the information system. It is expressed as follows: , where represents a finite set of objects (global) and ; represents a finite set of attributes or criteria; is the range of the attribute criterion , and ; is an information function, in which and . Moreover, can be usually divided into (a set of condition attributes) and (a set of decision attributes).
Step 2: Rough approximation in the dominant relationship
Let be the dominant relationship pertinent to the attribute in the global , that is, . Moreover, the term indicates that x is not inferior to y for the attribute . Similarly, the term indicates that x is absolutely dominant over y for , which is expressed as . A strictly dominant relationship does not involve x being equivalent to y for .
Let be the set of decision attributes , and any shall be categorized to a single class . If and all , then any element in is dominant over all elements in . These unions are also referred to as upward or downward unions of classes, which are defined as and , respectively. If dominates in the criterion of and the relationship is supported in all , , then dominates Y in the attribute set , which is expressed as .
If , then and are referred to as the P-dominating and P-dominated sets of , respectively. The approximate upper or lower unions of these sets are known as granules of knowledge. The DRSA involves the use of these granules for approximate dominating or dominated sets.
The downward (
) and upward (
) approximates of
and
are expressed as follows:
where the downward and upward approximates are denoted as
and
, respectively.
Similarly, the downward (
) and upward (
) approximates of
and
are defined as follows:
where the downward and upward approximates are denoted as
and
, respectively.
For all
and
, the downward (
) and upward (
) approximates satisfy the characteristics described in the following equations:
The
P-boundaries of
and
are defined as follows:
For all
and
, the approximate accuracies of
and
are defined as follows:
The approximate quality of the set of decision class
with regard to the attribute set
P is described as follows:
The is the cardinal number of the set. The rule definition class calculated using the set has weak classification accuracy. All the goals in the data table are clearly defined. When , any minimum subset is referred to as the reduct of in , which is expressed as . More than one cut may be present in a data table, and all cut sets are known as cores, which are expressed as .
Step 3: Cores and reducts of attributes
Cores and reducts of attributes are the two basic concepts of sets of approximation. When excessive condition attributes exist in an information system, eliminating these attributes does not affect the overall quality of decision-making. In other words, excessive attributes can be eliminated to create simplified sets of attributes. The reduced sets of attributes are then intersected to obtain the core attributes. Thus, the complexity of the system can be reduced, and the vectors that truly influence decision-making can be quickly presented.
Step 4: Decision rules
The information is expressed as several simple decision rules in the ‘if-then’ format. Dominant relationships are applied to identify decision rules with information on dominance [
45]. The formats of the rules are as follows:
(1) decision rule: if and and … , then . This decision rule is only supported by the targets of the approximate of the lower boundary in the classification set .
(2) decision rule: if and and … , then . This decision rule is only supported by the targets of the approximate of the lower boundary in the classification set .
(3) decision rule: if and and … and and … , then . This decision rule is supported by the targets of the boundary in the classification sets and , where and .
5. Discussion
This study aimed to assist decision makers with appropriately adjusting the existing teacher training system to enhance teachers’ ESD competency without having to increase costs or abolish the existing system.
In practice, many universities have developed separate training plans targeting ESD competency on top of the existing programs in order to address sustainability challenges. Such a process, however, entails predicaments. Over years of operation, the original teacher training programs have occupied a large portion of resources for teacher development. The establishment of the new training system targeting ESD competency requires the investment of massive resources and a long-term construction process. For regional universities that are already struggling with limited resources, constructing a new teacher training system means that the original teacher training programs will have to face the consequences, like reduced resource input, disruption, or even abolishment, so that the limited resources can be diverted into the construction of the new training system. Nonetheless, the original teacher training program has been proven valuable for enhancing teachers’ instructional competency. Against a backdrop where ESD competency is increasingly valued, regional universities with limited resources may be forced to renounce years worth of practices to cultivate traditional teaching competencies (for example, competencies represented by C1 through C9 in the ISEC teacher competency model). As a result, the training of teachers’ competencies has attended to one thing and lost sight of another.
From the aspect of management connotations, the results of this research will facilitate regional universities to put the issue of teachers’ ESD competency improvement in a more interconnected and integrative perspective. By organically integrating the original teacher competency training program with the new ESD competency training, universities can achieve codevelopment and growth of both traditional and ESD competency. Specifically, this research will provide implications for addressing the practical predicaments faced by universities from two aspects:
First, the identification of core attributes will provide guidance for universities, allowing them to realize that some traditional competency indicators can have significant influences on ESD competency, and well-targeted training of these traditional competencies facilitates the enhancement of ESD competency. For instance, the empirical case analysis described in
Section 4 derived six core competency indicators, which were critical thinking (C
1), learning assessment (C
3), English as medium of instruction (C
5), curriculum development (C
7), pedagogical innovation (C
8), and international cooperation (C
9), respectively. Practically, ISEC is a program of the reformation in Chinese higher education. For the ISEC program, two innovative characteristics are distinct from the conventional higher education model in China. First, critical thinking is applied to all aspects of teaching activities; second, formative assessment is replacing the traditional educational practice based on test scores. Thus, critical thinking (C
1) and learning assessment (C
3) are crucial in the ISEC-based ESD environment. Moreover, ISEC is a means of educational reform through internationalization, in which teachers are required to teach in both Mandarin and English. Therefore, English as a medium of instruction (C
5) and international cooperation (C
9) have long been emphasized. Curriculum development (C
7) and pedagogical innovation (C
8) are indispensable for the dynamic improvement of teaching competency levels. Breakthrough curricula and teaching method innovations are problems that cannot be avoided in ESD. According to the analysis results, a high level of consistency was observed in the identification and practice of the core condition attributes. By implementing well-targeted training of these six traditional competencies through their existing teacher training programs, ISEC universities will also improve ESD competency.
Additionally, the decision-making rules will guide universities to adjust their original teacher training programs with of view of enhancing ESD competency. As shown by the empirical case analysis, on the one hand, decision-making rules assist universities with formulating ESD competency improvement strategies based on the competency performance of individual teachers (for example, the improvement strategies for teacher α proposed in
Section 4.5). On the other hand, more importantly, the decision rules can guide the university to make an adjustment to the original teacher training plan for most teachers. In
Appendix A,
Table A1, there are four decision-making rules, which are rules 7, 8, 9, and 11, that have relatively high support strengths, reaching 86 objects (55.1%), 83 objects (53.2%), 84 objects (53.8%), and 88 objects (56.4%), respectively. These values of support strengths indicate that for ISEC teachers, the four rules are of universal significances. Rule 7 shows that 55.1% of teachers who exhibit a ‘medium’ or higher level of performances in English as medium of instruction (C
5) and pedagogical innovation (C
8) also have a ‘medium’ or higher level of performances in ESD competency. According to Rule 8, 53.2% of teachers who exhibit a ‘medium’ or higher level of performances in curriculum development (C
7) and pedagogical innovation (C
8) also have a ‘medium’ or higher level of performances in ESD competency. Rule 9 indicates that 53.8% of teachers who exhibit a ‘medium’ or higher level of performances in curriculum development (C
7) and international cooperation (C
9) also have a ‘medium’ or higher level of performances in ESD competency. Rule 11 demonstrates that 56.4% of teachers who exhibit a medium or higher level of performances in instructional design (C
2), textbook compilation (C
6), and curriculum development (C
7) also have a ‘medium’ or higher level of performances in ESD competency. The competency indicators as conditional attributes in rules 7, 8, and 9 are all core attributes. Based on the previous analysis of the impact of the four core attributes on ESD competency, the management implications for decision makers of these three rules are easy to understand. In particular, among the three conditional attributes of Rule 11, instructional design (C
2) and textbook compilation (C
6) are not core attributes. A teacher is required to have instructional design (C
2) and textbook compilation (C
6) competencies that are sufficient enough to address the new teaching content and objectives in the ESD teaching model. It is not difficult to find from the analysis of core attributes in
Table 4 that these two competencies, when examined separately, each has considerably small influences on ESD competency. However, when the two competencies are organically combined and then integrated with curriculum development (C
7), they impose significant impacts on ESD competency. Rule 11’s support strength of 56.4% is good proof of this. Rule 11 also further validates that it is necessary to discuss teachers’ traditional competencies and ESD competency from an interconnected and integrative point of view in this research. ISEC universities should strengthen the training for some of the teachers’ competences in their original teacher training programs in accordance with this set of rules, striving to facilitate teachers to reach the “good” level in terms of their critical thinking (C
1) competency, and in the meantime, the “medium” level in other competencies like instructional design (C
2), English as medium of instruction (C
5), textbook compilation (C
6), curriculum development (C
7), pedagogical innovation (C
8), and international cooperation (C
9). Such a strategy will allow the majority of ISEC teachers to enhance their ESD competency while improving their traditional competencies.
The previous research [
4,
6,
8,
12,
24,
26,
27] has attached much of its focus on the elements of ESD competency and the competency for ESD itself without connecting with teachers’ traditional competencies. A small number of studies [
16,
22] have explored the impact of certain individual competencies of teachers on ESD competency. This research provides a new perspective for analyzing the influencing relationship between traditional competencies and ESD competency, and on this basis, assists decision makers with developing strategies for ESD competency improvement. The results show that some traditional competency indicators that actually have significant influential and promotive effects on competency for ESD, such as critical thinking, pedagogical innovation, and international cooperation, were not considered as elements of ESD competency in previous studies, nor have they been studied in connection with ESD competency.