This investigation of twentieth century trends in mathematics education includes the survey of existing literature and questionnaires conducted with retired and active Texas teachers. Historical events, trends in curriculum, instruction, learning theories, and contradictions of twenty-year periods are delineated. Questionnaire responses are tabulated along the same periods and vignettes of typical classrooms are drawn from the data. Results of the survey show the impact of societal forces on mathematics curricula, a continued downward expansion of content into lower grades and expanding knowledge of learning processes. A unified mathematics curriculum, classroom-related learning theory research, and further development of team-teaching are postulated as future trends. Recommendations include further examination of trends through isolation of other variables such as region and ethnicity.

This study developed propositions concerning the nature of academic tasks as they are experienced in classrooms. Specifically, the purpose of this study was to analyze academic task structures in two language-arts classes, one designated as average-ability and one designated as high-ability. Few studies have concentrated on tasks as they are experienced in classrooms. While propositions concerning task systems are sparse in any curriculum area, language arts classes would seem to be particularly appropriate for supplying information about a wide range of task types. The present research thus described the nature of tasks in two junior high language arts classes.