New England Complex Systems Institute
238 Main Street Suite 319, Cambridge, MA 02142
Phone: 617-547-4100 Fax: 617-661-7711
Miriam Bar-Yam, Kathleen Rhoades, Linda Booth Sweeney, Jim Kaput, and Yaneer Bar-Yam
The rapid changes and increased complexity of today’s world present new challenges and put new demands on our education system. There has been generally a growing awareness of the necessity to change and improve the preparation of students for productive functioning in the continually changing and highly demanding environment. In confronting this challenge it is necessary to consider the complexity of the education system itself and the multitude of problems that must be addressed. Clearly, no simple, single uniform approach can be applied with the expectation that significant improvements of the system will occur.
Indeed, any strategy for change must contend with the diverse factors affecting the education system, the interactions of its parts, and the intricate interdependencies within it and with its environment.
As we consider these problems, we become increasingly cognizant of the various possibilities of using concepts and methods of the study of complex systems for providing direction and strategies to facilitate the introduction of viable and successful changes. A key insight from complex systems is that simple solutions are not likely to be effective in cases such as the education system, and that providing a balance or coexistence of what seem to be opposites may provide the greatest opportunities for successful courses of action. In the following we consider
The approaches to teaching can be categorized according to major educational goals that affect teaching strategies. On one hand the goal of education is viewed as the transmission of knowledge by the teachers to the students. On the other hand the goal of education is viewed as facilitating students’ autonomous learning and self expression. The former approach which converges toward the teaching of specified subject matter, may be termed ‘convergent’ teaching and the latter approach which stresses open ended self-directed learning may be termed ‘divergent’ teaching. The convergent approach is highly structured and teacher-centered; the students are passive recipients of knowledge transmitted to them and learning achievements are measured by standardized tests. The divergent approach is flexible, student-centered, where the students are active participants in the learning process and learning achievements are assessed by a variety of evaluation tools such as self-evaluation in parallel to teacher evaluation; documentation portfolios; and special projects (see also Niche Selection (link to be added soon)).
In the highly complex education system there may be various combinations of the different approaches to teaching and probably no ‘pure’ convergent or divergent teaching. Still, the tendency in the education system of today is toward the convergent approach. In fact, among the current suggestions for implementing educational reforms to deal with the considerable problems of the education system, there has been a strong emphasis on setting convergent goals, an aspect of which is the use of across-the-board standardized testing. Testing has been commonly viewed as a prudent way to determine the success or failure of the teaching and learning process. There has been a relatively limited use of other means of evaluation which are more complicated and more demanding in terms of application and interpretation.
As educators seek ways to meet the demands put upon the education system in today’s world of rapid changes and ever increasing complexity, it may be helpful to recognize that there is a need for both convergent and divergent approaches to teaching and learning. Educators who stress the importance of the acquisition of specific knowledge as a useful way to prepare the students for productive future functioning, must come to realize that even for the purpose of this goal alone, a divergent approach is needed today. With the great proliferation of knowledge and rapid changes in most fields as well as the appearance of many new fields, it is critical to develop students’ capacity for self-directed learning and self growth. On the other hand, those who emphasize the importance of autonomous growth and creative self-expression, must realize that the students need academic skills (such as reading, writing, calculating, etc.) as prerequisites for productive self expression. Since the creative process involves new ways of using existing knowledge, it is important to provide opportunities for students to acquire such knowledge (which can be acquired by convergent teaching). Hence, convergent and divergent teaching strategies are both needed and the challenging question is how to find the balance between them within the complexity of the process of teaching and learning. It is likely that the two approaches may increasingly become not mutually exclusive but interrelated and interdependent.
An important development is the growing awareness that academic achievement could improve by adapting teaching to students individual differences. This awareness is finding its most distinct expression in the education system’s attempts to deal with the issues of students with special needs. However, other aspects of adaptation to students’ individual differences get far less attention.
In general, adaptation to individual differences under convergent teaching tends to be limited. The students are all expected to strive toward one goal of learning specified required knowledge; some may attain it and others may fall by the wayside or be given some remediation with limited results. Nevertheless, there are various possibilities of effective adaptation to individual differences under convergent teaching. In addition to adaptation in the rate of learning, where each student can be allowed to work at his/her own pace, there are many possibilities of adaptation through the use of diverse methods of teaching. Even when all the students are taught the same material, teachers can use different methods, different techniques or different media, to cater to individual differences in abilities and personality characteristics. Such a ‘multi-convergent’ approach can be more effective in giving the students opportunities to use their aptitudes and inclinations for learning and attaining higher achievements. As the students experience success and consequently a sense of competence, their motivation is enhanced to pursue further learning. Such an approach has a better potential for success than the common reality of students with learning difficulties, who often struggle through remediation with a sense of inadequacy and discouraging experiences of failure.
Adaptation to individual differences under divergent teaching may be expected to be productive because of its emphasis on student autonomous, active, self-reliant learning. Yet, there are students who may not function well under divergent conditions because of their strong need for guidance, direction, and structure. Divergent teaching can cater to such needs by individual guidance, along with ongoing assessment and subsequent modifications. This is a ‘guided-divergent’ approach which is more structured and less flexible than the open divergent teaching but less narrow and limiting than convergent teaching.
Among the most difficult problems faced by the education system are those associated with teaching effectiveness. The current preparation of teachers for specific age levels, specific subject matter, specific academic skills, etc., does not take into consideration sufficiently the complexity of factors such as students’ various characteristics. There is a strong need to train teachers to adapt instruction to the diverse student abilities, learning styles, personality traits and needs by using more differentiated teaching strategies (See also Complexity in the Classroom (link to be added soon)).
In addition to the preparation of teachers to more differentiated teaching, there could be more divergent use of teaching resources. Worthwhile teaching can be done with advantageous results by persons other than the traditional classroom teachers. For example, valuable teaching can be done by peers of different ages and abilities. Also, parents, grandparents, and relatives could participate in and contribute productively to the teaching process. Furthermore, teaching can be enhanced by volunteers, retirees, people with various areas of expertise from the worlds of science, business, engineering, medicine, public service, entertainment, and others. Also, high-tech resources such as multimedia technology, computer programs, telecommunication, the Internet, audio-visual techniques, and others can provide beneficial options. Student learning can be greatly enriched further by traveling - near and far; interaction with people of different cultures; different geographical areas; different occupations, different ways of life; different outlooks. Undoubtedly, many possibilities exist that are not often implemented even though they could make the teaching and learning process more effective and more beneficial by providing a variety of experiences and alternative strategies for adaptation to students’ characteristics.
In sum, the attempts to match teaching strategies with students characteristics may become critical steps toward dealing with some of the particularly difficult problems of the teaching and learning process. Admittedly, many difficulties are faced not only by teachers but also by administrators and policy makers in the endeavor to adapt instructional strategies to students characteristics, but the methods and concepts of the field of complex systems can provide ways of implementing such changes in the attempts to introduce reforms to the education system.
One of the most exciting developments in the world of science today is the growing involvement of researchers in interdisciplinary collaborations, and the increase in cross-fertilization of ideas and research endeavors of people in different fields of science.. The benefits for cross-disciplinary scientific work are invaluable and the various application possibilities are promising not only for science but for many aspects of daily living.
These developments have direct implications for the education system. The tendency in our schools is to teach bits and pieces of information related to particular disciplines. In view of the cross-disciplinary trends, the curriculum can be integrated around topics that reflect the patterns, interactions, and interdependencies of the different fields. This can provide students with ways to study and attempt to comprehend the world around them through concepts and ideas that are less disparate or disconnected.
The growing inter-disciplinary collaborations and cooperative sharing of information from different fields and the efforts to find pragmatic solutions to global problems have further implications for education. There are important implications for the preparation of students to function and be productive in a world with diverse populations, different economic conditions, multitudes of cultural, religious and ethnic groups, and many other different factors. Furthermore, it is highly beneficial to begin early in the educational process to organize learning around problem solving, critical thinking, and dealing with issues arising from different fields of study and different aspects of real life conditions.
An integrated, inter-disciplinary curriculum links a variety of learning subjects as they are related to the topics of integrated curriculum units. The emphasis on connecting and synthesizing information around topics of interest to the students provides favorable conditions for the acquisition of knowledge from different disciplines through congruous concepts and ideas. Integrated curriculum units are chosen by the students with the teacher and involve teams of students working cooperatively toward common goals. Small groups, pairs, or individuals can work on relevant tasks and materials that can be shared with the other students and yield peer-to-peer learning. Experiencing the benefits of contributing to the goals of the unit by members of the team is empowering and gratifying and is also a beneficial way of preparing them for future functioning in the world. Moreover, the opportunity given to each student to capitalize on his/her strengths can become a strong motivating factor in pursuing further learning and further giving to others.
In terms of teaching strategies, an integrated curriculum encourages a multi-dimensional approach to the educational process and tends to combine regularly multi-convergent and divergent strategies of teaching. There are also various options in the way teachers are assigned to classroom teaching. Individual teachers may find it difficult to implement multi-dimensional strategies in teaching any class, even when small in size, but teachers can work in teams using different teaching strategies compatible with individual teachers’ particular capabilities, cognitive styles and personality characteristics.. They can also organize various teaching experiences with the assistance of volunteers, specialists, peers and others who could contribute to the teaching process. In terms of the structure and settings adapted to different teaching and learning conditions, there can be alternative places for learning, e.g. learning centers, laboratories, libraries, outdoors, community institutions and businesses, museums, and various organizations.
The structure and organization of the student body can be in the form of small and large groups; study pairs; and individualized study arrangements. Social alternatives are possible in heterogeneous groups with a great deal of interchange within them and between them and other groups. Clearly, student groups may vary in age, cultural and socioeconomic background, special interests and special needs.
There are various alternatives in the types of learning that an integrated curriculum can include:
The above discussion of ways to implement various changes in the approach to teaching and learning grew out of the recognition that the current attempts at reforming the education system tend to be ineffectual. The attempts to use simple large forces (such as standardized testing, for example) in dealing with the ills of the complex education system are essentially doomed to fail. Undoubtedly, there are no simple general solutions to those multifarious complex problems.
The above suggestions of some different possibilities of implementing changes, stem from the conviction that such special, differentiated approaches can be very beneficial and can have significant positive effects on the teaching and learning process in our education system.