Big Ideas in school mathematics can be seen as overarching concepts that occur in various mathematical topics in a syllabus. For teachers, this knowledge can be used to help students develop a better understanding of mathematics by making visible the central ideas, and connection across topics and across levels. For students, this knowledge can…

As part of efforts to improve the quality of mathematics' teaching and evaluation, we examined the focus of math teachers' considerations in evaluating students' achievements, as well as the links between these focuses, regarding differences between students and the validity and reliability of assessment methods and examinations. Based on the…

Presently, a plethora of instruments designed to assess a mathematical skill, disposition, or competence prevail in South Africa. Yet few of them adhere to the basic requirements of the unidimensionality and invariance of measures. The Marko-D is a mathematical instrument designed to test learners between the ages of 4 and 8. The instrument, thus…

In light of the emergence of statistical analysis techniques based on data mining in education sciences, and the potential they offer to detect non-trivial information in large databases, this paper presents a procedure used to detect factors linked to academic achievement in large-scale assessments. The study is based on a non-experimental,…

Mathematical knowledge for teaching (MKT) measures have been widely adopted by researchers. Critics have debated the value of such measures and questioned the type of knowledge that these access. This article reports on a study where the challenges in measuring teachers' knowledge were illuminated through investigating relationships between the…

A MC (multiple-choice) question can be defined as a question in which students are asked to select one alternative from a given set of alternatives in response to a question stem. The objective of this paper is to analyse if MC questions may be considered as an interesting alternative for assessing knowledge, particularly in the mathematics area,…

The purpose of this study is to identify the self-reported research-based instructional and assessment practices used by third through fifth grade teachers among rural school environments in Western Pennsylvania which have attained Adequate Yearly Progress (AYP) pursuant to statewide assessments. Specifically, this study examines the…

The Bologna Declaration brought reforms into higher education that imply changes in teaching methods, didactic materials and textbooks, infrastructures and laboratories, etc. Statistics and mathematics are disciplines that traditionally have the worst success rates, particularly in non-mathematics core curricula courses. This research project,…

Mounting pressure in the policy arena to improve teacher productivity either by improving signals that predict teacher performance or through creating incentive contracts based on performance--has spurred two related questions: Are there important determinants of teacher productivity that are not captured by teacher credentials but that can be…

Presented are a rationale and sample techniques for the implementation and continued use of alternative school mathematics evaluation programs that are in alignment with the proposed curriculum standards of the National Council of Teachers of Mathematics. Emphasis is directed toward holistic scoring techniques including calculator/computer…

Presents the assessment and grading practices of 19 mathematics classes in five high schools in three states. In each class the most frequently used assessment tools were tests and quizzes, with these determining approximately 77% of students' grades. In 12 classes other forms of assessment such as written projects or interviews were also used.…

When standard paper-and-pencil tests are used to measure progress in mathematics, specific assumptions quite apart from those dealing with the statistical validity of the test are often made. These can lead to improper student treatment and often suggest successful teaching which is not warranted. The results of examining 32 fourth through sixth…

This study investigated the mathematics achievement test performance of 62 non-transient elementary school learners in accelerated schools using a longitudinal design. Both the California Achievement Test (CAT) and the Louisiana Educational Assessment Program (LEAP) test were included in this investigation. In particular, this study sought to…

Linking teacher treatment to student impact is not as straightforward as it may seem initially. The difficulties in measuring the impact on students are illustrated in this discussion of the Ohio Statewide Systemic Initiative (SSI). Since the inception of the SSI, the external evaluators had planned to use data from the state's proficiency tests…

Describes a study by British researchers that attempted to describe progression in learning in terms of a common framework for all students. Elementary school students completed periodic interviews while being taught measurement skills. Results found a wide spread of attainment in measurement in each age range but less clear progression between…