This book summarizes new directions in mathematics education research on proving at the university level, thereby providing contemporary extensions of the sub-fields of proof that Annie and John Selden introduced to the field. The chapters each describe an emerging new area of proof research, review the relevant findings in this area, present open…

The eight articles and two commentaries of this theme issue indicate the main lines of thinking represented at a symposium on the comprehension of graphics in text. The common assumption is that graphics per se do not have a direct effect on learning results but are effective only when processed adequately. (SLD)

Describes the PMOSE/IKIRSCH document readability formula, which provides a measure of document complexity (looking at structure and density) of a wide array of different document types (including lists, schedules, tables, graphs, charts, indexes, time lines, maps, calendars, and forms). Discusses implications of the formula in terms of document…

Research on graphing presents its results as if knowing and understanding were something stored in peoples' minds independent of the situation that they find themselves in. Thus, there are no models that situate interview responses to graphing tasks. How, then, we question, are the interview texts produced? How do respondents begin and end…

Tests the effects of number of data points and type of statistical display on time spent answering questions about information. Finds that tables and graphs are more efficiently processed than text presentation of the same data. Suggests that the time variable is a more realistic measure than information recall of cognitive processing effort. (SR)