Educational Systems Theory Study

In this study, researchers conducted literature reviews to support or invalidate 14 theorems of the Axiomatic-General Systems Behavioral Theory (A-GSBT) as they applied to an educational context. Researchers investigated the following three questions: 1) Which theorems could possibly be applied to educational systems? 2) Are there empirical studies that provide evidence to either validate or invalidate the 14 theorems in an educational context? 3) Does the Systems Theory proposed by Thompson & Frick (2004) adequately describe educational systems? Results of the literature review revealed that 12 of the theorems could be supported based upon the data gathered and 2 of the theorems could not be validated. In addition, while collecting data, the researchers found that the 14 theorems did not appear to be directly applicable to a number of key issues brought up in some empirical studies reviewed. Limitations of the study and implications for future research are explored. Educational Systems Theory 3 Purpose of Study The ability to utilize a tool to predict the outcomes in a system during initial planning stages has been incorporated into software games such as SimCity. In SimCity, users can build a city by manipulating different components within the system and then observing the outcomes of their decisions. Software to predict outcomes in an educational system has not yet been developed and Dr. Theodore Frick, an associate professor at Indiana University’s Instructional Systems Technology department, has been researching the data necessary to help create such a program, which he termed SimEd. Using the general systems theory work being done by Kenneth Thompson, the developer of A-GSBT and head researcher at Raven58 technologies, Frick set out to develop an Educational Systems Theory (EST) which would be helpful in defining algorithms which may form a theoretical basis for simulation software such as SimEd. The purpose of this study was to determine if the 14 theorems of the Axiomatic-General Systems Behavioral Theory (A-GSBT) model are or are not supported by empirical data found within extant research that has been conducted in various educational areas. While A-GSBT was designed to predict the behavior of “intentional systems”, or systems that are designed to achieve specific objectives (Thompson, 2004), its applicability in this study was in the context of educational systems. This was conducted by examining and making inferences about data gathered through literature reviews performed by the researchers. Background An educational system is described by the relationships among its components (teachers, students, content, and contexts) and the relationship this system has with its environment (Frick, 1991). When changes are made in an educational system, one or more of these relationships can be affected. Yet, reform efforts in education tend not to achieve the desired impact because Educational Systems Theory 4 change is made in piecemeal, rather than a systemic fashion. An example of this is when one component is changed without consideration for the supporting changes required in other components (King & Frick, 1999). Systemic change, however, is a comprehensive process where “a fundamental change in one aspect of a system requires fundamental changes in other aspects in order for it to be successful. ” (Reigeluth, 1992, p. 9) However, changes may also occur on a smaller scale. EST enables these changes to be examined regardless of their magnitude. Amidst major changes to K-12 schools brought about by the No Child Left Behind initiative passed by the U.S. Congress in 2002, the need for systemic change is even more critical. Frick (2004) described a scenario whereby “schools that repeatedly fail to meet current state standards for student achievement will be held accountable” (p. 1). In such a case, parents “will have the opportunity” (p. 1) to send their children to another school that was more successful. A piecemeal approach to change would invariably result in problems with availability of schools and logistics. One recent example of this problem was mentioned in an article in the Chicago Tribune. The newspaper reported that out of 175,000 eligible students in Chicago, only 5,933 applied for a transfer under the No Child Left Behind Act (Dell’Angela, 2004). In anticipation of higher enrollment numbers, schools spent more money to hire extra teachers and textbooks. It was later discovered that less than half of the students expected actually showed up. For those who applied, 438 won lottery spots, but only 200 of these students finally showed up in the schools. One reason cited for the low transfer rates were logistical problems of commuting the child to a school further away from home. The central difficulty in implementing systemic change in educational systems is the issue of predictability. Frick (2004) argued for the need of an “educational systems theory” (p. 2) Educational Systems Theory 5 that could “describe, explain and predict whole educational systems and their transactions with societies in which they are embedded” (p. 2). The theory is intended to be used to provide a foundation for the development of an educational systems simulation tool, that Frick has termed SimEd. If such a system was available, potential outcomes of educational reforms could be described and predicted before actual implementation. SimEd is therefore a tool that enables educational reforms to be planned systemically. The theoretical basis for SimEd Maccia & Maccia (1966) were the first researchers who attempted to develop an educational theory which they called the SIGGS Theory Model, by synthesizing four theories: Set, Information, di-Graph, and General Systems. These theories consist of 201 hypotheses describing school systems. Faced with the limitations of linear models in quantitative methods, Frick (1990) used parts of information theory in SIGGS to develop an observation and measurement methodology called Analysis of Patterns in Time (APT). As Frick (1994) explained, APT could be used as an empirical method for the validation of the SIGGS theorems. During this time, Thompson (2004) also extended the SIGGS Theory and developed A-GSBT. Frick and Thompson found a synergy in their work and began to collaborate in 2001. Frick found that when used in an educational context, A-GSBT theorems could be used to derive an Educational Systems Theory (EST). Frick (2004) therefore proposed that the axioms and theorems of A-GSBT be used as a “rule base for SimEd” (p. 5), and APT be used as a “primary research methodology for validating theorems in EST” (p. 6) Currently, A-GSBT theorems have been logically derived from the axioms, and are still being developed. In order to determine the utility of using a formal theory such as A-GSBT to predict empirical systems, a set of 14 Educational Systems Theory 6 theorems, derived from a subset of the axioms which make up A-GSBT, were chosen for this initial evaluation. More support for and empirical testing of these theorems still needs to be conducted to ensure that they comprehensively describe relationships and transactions in educational systems. Research Questions As discussed previously, this study is intended to look for support for or against the14 theorems of A-GSBT in terms of an educational context. A-GSBT is a general system theory designed to predict behaviors in “intentional systems”. Therefore, it is necessary to review AGSBT theorems for those that are applicable to educational systems. The 14 theorems were derived by applying rules of logical deductions (Frick, 2004). They are all logically consistent with axioms, however, empirical validations have not yet been conducted. If the empirical data show support for the theorems, then the axioms can be retained. But, if there is no support for the theorems, then theory axioms and definitions should be reviewed, as revisions may be necessary. (Frick, 2004). In this study, three research questions are addressed: 1) Which theorems could possibly be applied to educational systems? 2) Are there empirical studies that provide evidence to either support or not support the 14 theorems in an educational context? 3) Does the Systems Theory proposed by Thompson & Frick (2004) adequately describe educational systems? Methodology The primary research methodology for validating the 14 theorems is by finding empirical data through literature review. The literature reviewed includes research from periodical journals, dissertations and education-related news reports. Along with finding empirical data, researchers also reviewed previous research related to SIGGS, A-GSBT, and studies conducted Educational Systems Theory 7 by applying the APT method. Thompson assisted researchers in clarifying questions surrounding SIGGS and A-GSBT via emails and conference calls. Empirical data gathered through the literature review was reviewed to determine if the data validated the 14 theorems. For example, Theorem 12, which states that system input increases, only if filtration decreases, is supported by the following evidence. The study written by Crawford (1966) discussed that the students who were offered financial aid were more likely to enter college than those students who were offered no financial aid. In this example, filtration refers to financial aid whereas a system input refers to students who enter college. The author found that by providing financial aid (filtration decrease) more students could enter college (system input increase). This phenomenon is consistent with Theorem 12 and therefore, this provides support for the theorem. Research that validated or invalidated the theorems will be discussed in detail in the next section of this report. Results Data compiled from the literature review conducted by the researchers can be found for the specific theorems below. Definitions of A-GSBT terms can be found in Appendix A. Theorem 12: System input