Progressing from additive to multiplicative thinking is a key outcome of school mathematics, making ratios an essential topic of study in junior secondary. In this study, 15 Australian Year 8 students were administered a ratio test followed by semi-structured interviews to explore their conceptions of ratio prior to formal instruction. In this…

The present study investigates the understanding of the equals sign among middle school students. The study data were gathered from a total of 433 middle school students (111 in the fifth grade, 106 in the sixth grade, 95 in the seventh grade and 121 in the eighth grade) using a ten-item equals sign test developed by the researcher. The study…

Background: Poor mathematics performance in South Africa is well known. The COVID-19 pandemic was expected to exacerbate the situation. Aim: To investigate Grade 7 learners' mathematical knowledge at the end of primary school and to compare mathematical performance of Grade 7 and 8 learners in the context of the pandemic. Setting: Data were…

People need the idea of transformation geometry in order to understand the nature and environment they live in. The teachers should provide learning environments towards perceptual understanding in symmetry training and development practice skills of the students. In order to make up such a learning environment, teachers should have information…

The National Assessment of Educational Progress (NAEP) is the only continuing and nationally representative measure of trends in academic achievement of U.S. elementary and secondary school students in various subjects. For more than four decades, NAEP assessments have been conducted periodically in reading, mathematics, science, writing, U.S.…

While most educators assume that not all students try their best on achievement tests, no current research examines if behaviors associated with low test effort, like rapidly guessing on test items, affect teacher value-added estimates. In this article, we examined the prevalence of rapid guessing to determine if this behavior varied by grade,…

The purpose of this study was to determine the learning levels, mistakes, and misconceptions of the 8th grade students on the subject of "angles in geometry" as well as the possible reasons for these situations. Research sample consisted of 30 students attending the 8th grade of a middle school located in the central district of a…

The current study identified socioeconomic status (SES) group differences in student performance on an eighth grade mathematics assessment derived from the Third/Trends in International Mathematics and Science Study (TIMSS) 2003. Differential item functioning (DIF) methodology was applied to examine SES group differences on item performance for…

This document contains the framework and a set of recommendations for the NAEP 2007 mathematics assessment, which will assess student achievement nationally and state-by-state, as well as in select urban districts, in grades 4 and 8. It includes descriptions of the mathematical content of the test, the types of test questions, and recommendations…

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning.…

Item responses of 2,380 mathematically talented junior high school students (1,437 males and 943 females) were studied to determine gender differences, using the mathematical sections of the Scholastic Aptitude Test (SAT-M). Girls excelled on miscellaneous items and data sufficiency items but performed less well on algebra items than boys. (SLD)

Item response theoretic methods are applied to the measurement of achievement of students from various instructional backgrounds. This extended item response theory (IRT) approach serves as a tool for studying instructional bias, or instructional sensitivity. The model maintains the form of an IRT model, but has parameters that quantify the extent…

This study was conducted to determine whether the symbolic form of achievement test items influences student performance and whether teachers' use of different symbolic forms during instruction influences estimates of student achievement. The analyses conducted to examine these issues used student achievement test data and teacher responses to…

Often referred to as "The Nation's Report Card," the mathematics assessments of the National Assessment of Educational Progress (NAEP) have come to be regarded by many policymakers as the primary yardstick by which to judge our schools' success in meeting national expectations. This monograph reports and interprets trends in NAEP…