Each year, policymakers, educators, and the general public engage in debates around the statewide average teacher pay figure that the North Carolina Department of Public Instruction (DPI) publishes on its website and reports to the National Education Association. These debates take up the important consideration of whether or not teachers are…

Apprentice and trainee data are reported by the State and Territory Training Authorities to National Centre for Vocational Education Research (NCVER) on a quarterly basis, starting at the September quarter of 1994. The set of data submitted that quarter is referred to as Collection 1. The sets of data submitted in subsequent quarters are referred…

The Organization for Economic Cooperation and Development (OECD) conducted the Program for the International Assessment of Adult Competencies (PIAAC), a multi-domain adult skills assessment with an extensive background questionnaire, in 2012. PIAAC is a global effort to understand how individuals' education, workplace experiences, and other…

The Program for the International Assessment of Adult Competencies (PIAAC) is a cyclical, large scale study of adult skills and life experience focusing on education and employment that was developed and organized by the Organization for Economic Cooperation and Development (OECD). In the United States, the study was conducted in 2011-12 with a…

Apprentice and trainee data are reported by the State and Territory Training Authorities to NCVER (National Centre for Vocational Education Research) on a quarterly basis, starting at the September quarter of 1994. The set of data submitted that quarter is referred to as Collection 1. The sets of data submitted in subsequent quarters are referred…

Apprentice and trainee data are reported by the state and territory training authorities to the National Centre for Vocational Education and Training (NCVER) on a quarterly basis, starting at the September quarter of 1994. The set of data submitted that quarter is referred to as collection 1. The sets of data submitted in subsequent quarters are…

A method for the numerical evaluation of the error term in Gaussian quadrature rules is derived by means of Chebyshev polynomials of the first kind.

Given a set of urns, each filled with a mix of black chips and white chips, what is the probability of drawing a black chip from the last urn after some sequential random shifts of chips among the urns? The Total Probability Formula (TPF) is the common tool to solve such a problem. However, when the number of urns is more than two and the number…

BRT Math Screening Measures focus on students' mathematics performance in grade-level standards for students in grades 1-8. A total of 24 test forms are available with three test forms per grade corresponding to fall, winter, and spring testing periods. Each form contains computation problems and application problems. BRT Math Screening Measures…

The National Assessment of Educational Progress (NAEP) administered the selected supplemental mathematics exercises to 13-year-old students during October and November 1975 and to 17-year-old students during March and April 1976. This assessment represents a specially modified supplement to 1972-73 full-scale mathematics assessment and was…

The Bernoulli numbers are among the most interesting and important number sequences in mathematics. They first appeared in the posthumous work "Ars Conjectandi" (1713) by Jacob Bernoulli (1654-1705) in connection with sums of powers of consecutive integers (Bernoulli, 1713; or Smith, 1959). Bernoulli numbers are particularly important in number…

Some examples from different areas of mathematics are explored to give a working knowledge of the computer algebra system Maple. Perfect numbers and Mersenne primes, which have fascinated people for a very long time and continue to do so, are studied using Maple and some questions are posed that still await answers.

This report describes the results of Connecticut's second statewide assessment of mathematical knowledge, skills and attitudes. The Connecticut Assessment of Educational Progress annually tests a sample of Connecticut students in grades 4, 8, and 11 in one or more subject areas. Students at each grade level were randomly selected to participate in…

Volume 2, the second of eight publications developed by the Intercultural Development Research Association (IDRA) as part of the "Texas School Dropout Survey Project," focuses on the issue of the computation of a dropout rate. Three important factors which influence the mathematical computation of a dropout rate are identified: time…

This report describes a project originally intended to identify demographic patterns among adults with low literacy skills in each Canadian province. The project was carried out between March 2000 and June 2001 under the auspices of Movement for Canadian Literacy (MCL). The project was based on the assumption that demographic information about…