The assessment of knowledge and learning progress in the context of game-based learning requires novel, noninvasive, and embedded approaches. In the present paper, we introduce a mathematical framework which relates the (problem solution) behavior of a learner in the game context to the learner's available and lacking competencies. We argue that a…

Presented is a collection of reports on the status of competency-based mathematical education in the schools of 25 countries, and is the culmination of five years' work by the International Study Group on Minimal Competencies in Mathematics. Most reports summarize the trends and prevailing opinions about curricular implications of emphasis on…

This booklet contains the competencies, item specifications, and sample items for the mathematics competency tests developed by the Wisconsin Department of Public Instruction for administration at grades 3, 7, and 10. Commonly referred to as the "shelf tests," they will be available for the first time during the 1985-86 school year. Ten…

Discussed and compared are mathematics competencies as prescribed in grades 1-6 for seven state and local school districts utilizing the descriptive method characteristic of the Competency Based Education (CBE) movement. General comments on the historical background of the minimum competency trend and its distinguishing characteristics in various…

In preparation for the mandatory administration of the New Jersey High School Proficiency Test (HSPT) that was to begin with ninth graders in 1986, a pilot program was conducted with ninth graders who had done poorly on the HSPT during its second, nonmandatory administration in 1985. Approximately 125 students were selected (25 in each of five…