The purpose of this study was to apply a random item mixture nominal item response model (RIM-MixNRM) for investigating instruction effects. The host study design was a pre-test-and-post-test, school-based cluster randomized trial. A RIM-MixNRM was used to identify students' error patterns in mathematics at the pre-test and the post-test.…

This study investigated students' procedural and conceptual knowledge of the definite integral. Twenty-five students enrolled in one section of an undergraduate Calculus II class participated in this study. Data were collected from a test that was conducted during the fourth week of the semester. The test aimed at collecting information about the…

Bloom's taxonomy is proposed as a tool by which to assess the level of complexity of assessment tasks in statistics. Guidelines are provided for how to locate tasks at each level of the taxonomy, along with descriptions and examples of suggested test questions. Through the "Blooming" of an examination--that is, locating its constituent…

This contribution focuses on a scheme developed to characterize the level of difficulty of an examination in the course "Linear Algebra for Engineers" and on the transfer of the underlying idea to a similar scheme for examinations in the course "Analysis I for Engineers". Using these schemes, it is possible to define standards…

Many researchers argue that a deep understanding of fractions is important for a successful transition to algebra. Teaching, especially in the middle years, needs to focus specifically on those areas of fraction knowledge and operations that support subsequent solution processes for algebraic equations. This paper focuses on the results of Year 6…

In response to international standardized testing, many countries are examining mathematics education at virtually every level of instruction. Canada is no exception. Declines in mathematics scores in some international standardized tests have raised concerns amongst some stakeholders that a crisis may be unfolding with respect to the readiness of…

Using restricted-use data from the 2011 National Assessment of Educational Progress mathematics assessment, the current study examined the relationship between the presence of elementary mathematics coaches and specialists (MCSs) and the mathematics achievement of more than 190,000 fourth-grade students in more than 7,400 schools nationwide. In…

Item discrimination index, which indicates the ability of the item to distinguish whether or not the individuals have acquired the qualities that are evaluated, is basically a validity measure and it is estimated by examining the fit between item score and the test score. Based on the definition of item discrimination index, classroom observation…

Item positions in educational assessments are often randomized across students to prevent cheating. However, if altering item positions results in any significant impact on students' performance, it may threaten the validity of test scores. Two widely used approaches for detecting position effects -- logistic regression and hierarchical…

This study proposes a computer-assisted system with a design based on Polya's problem-solving model. The system is designed to help average and low-achieving second graders in mathematics with word-based addition and subtraction questions. The emphasis of using the specific model was on dividing the problem-solving procedure into stages and the…

The aim of this study was to determine the effects of an educational computer game, Lola's World, on low-performing children's early numeracy skills. Four preschools with 33 children from families of low socio-economic status (M[subscript age] = 5.5 years) took part in this study. Of the 33 children, 23 were split randomly into two groups: an…

Context personalization--the incorporation of students' out-of-school interests into learning tasks--has recently been shown to positively affect students' situational interest and their performance and learning in mathematics. However, few studies have shown effects on both interest and achievement, drawing into question whether context…

School district--university research collaborations represent one strategy to increase educators' ability to use current, research-based information in program decision making and efforts to improve student achievement. However, differences in organizational structures, goals, values, and prior collaborative experiences have made successful…

The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study designed to measure trends in mathematics and science achievement at the fourth and eighth grades, as well as to collect information about educational contexts (such as students' schools, teachers, and homes) that may be related to student…

The Trends in International Mathematics and Science Study (TIMSS) is an international comparative study designed to measure trends in mathematics and science achievement at the fourth and eighth grades, as well as to collect information about educational contexts (such as students' schools, teachers, and homes) that may be related to student…