Mathematical Sociology: Some Educational and Organizational Problems of an Emergent Sub‐Discipline

Summary

Three major areas of mathematical sociology are critically reviewed: analysis of measurement, statistical analysis and model building. Next, some social problems, created by the introduction of mathematics into sociology, are discussed. These include the emergence of inflated expectations for mathematical sociology which are subsequently disappointed, and the potential status threat which mathematical sociology poses for non‐mathematical sociologists. Examples of mathematical applications in the construction of causal models, population projection and the analysis of stability in social groups are discussed. Following this, the role of mathematics in the education of undergraduate sociology majors is considered. Neither mathematics nor statistics should be required of such persons, but they should be encouraged to acquire a mathematical background if interested. Statistics should, however, be required of sociology graduate students. The graduate training of mathematical sociologists should emphasize research over course work. An apprenticeship relationship with a faculty member working in mathematical sociology is highly desirable for these students. A substantive specialty is also useful since it enables mathematical sociologists to stay in contact with mainstream sociology. Emphasis is placed on the function of present research in legitimating future expanded mathematical education of sociologists.