The following HTML text is provided to enhance online
readability. Many aspects of typography translate only awkwardly to HTML.
Please use the page image
as the authoritative form to ensure accuracy.
On Evaluating Curricular Effectiveness: Judging the Quality of K-12 Mathematics Evaluations
robust, then the committee was also asked to “develop recommendations about the design of a subsequent project that could result in the generation of more reliable and valid data for evaluating these materials.”
In response to our charge, the committee finds that:
The corpus of evaluation studies as a whole across the 19 programs studied does not permit one to determine the effectiveness of individual programs with high degree of certainty, due to the restricted number of studies for any particular curriculum, limitations in the array of methods used, and the uneven quality of the studies.
Therefore, according to our charge, we recommend that:
No second phase of this evaluation review should be conducted to determine the effectiveness of any particular program or set of curricular programs dependent on the current database.
The committee emphasizes that we did not directly evaluate the materials. We present no analysis of results aggregated across studies by naming individual curricular programs because we did not consider the magnitude or rigor of the database for individual programs substantial enough to do so. Nevertheless, there are studies that provide compelling data concerning the effectiveness of the program in a particular context. Furthermore, we do report on individual studies and their results to highlight issues of approach and methodology. To remain within our primary charge, which was to evaluate the evaluations, we do not summarize results on the individual programs.
The second part of our charge was to present the criteria and framework for reviewing the evidence. To do so, we have developed a set of definitions of key terms which draw on a framework for evaluating the effectiveness of mathematics curricula. Using these definitions and the framework, we were able to undertake a review of the major categories of evaluation studies. We briefly review the definitions and the framework.
FRAMEWORK AND KEY DEFINITIONS
To guide our review of evaluations of mathematics curricula, the committee developed a “Framework for Evaluating Curricular Effectiveness” (see Figure 3-2). This framework emerged from deliberations of the committee following the testimony of experts in the field at two workshops held during 2003, motivated by the need to find common ways to examine different types of evaluations. It permitted the committee to compare evaluations and consider how to identify and distinguish among the variety of methodologies they employed. The committee recommends that individuals