The m-rater scoring engine has been used successfully for the past several years to score "CBAL"™ mathematics tasks, for the most part without the need for human scoring. During this time, various improvements to m-rater and its scoring keys have been implemented in response to specific CBAL needs. In 2012, with the general move toward…

In this technical report, we describe the development of cognitive diagnostic test items that form the basis of the diagnostic system for Project DIVIDE (Dynamic Instruction Via Individually Designed Environments). The construct underlying the diagnostic test is division of fractions. We include a description of the process we used to identify the…

The factor-analytic history of the isolation and identification of the cognitive ability construct known as Number or Numerical Facility is described. Empirical documentation from the psychometric literature is discussed, and examples of items from a variety of tests which have defined and been associated with the Number factor are included to…

This item bank was compiled by the Australian Council for Educational research (ACER) to help teachers at the secondary school level construct objective tests in arithmetic and algebra. The multiple-choice items were written by teachers who attended ACER writing workshops. The questions are classified according to their subject content and the…