"Parallel and Perpendicular Lines" is an important topic that serves as a basis for the learning of a more advanced geometric concept in later years. Yet, this topic is hard to master by the students. To pinpoint students' weaknesses in this topic, this study sought to develop a cognitive diagnostic assessment (CDA) to assess students'…

Given the importance of math in today's society, it is critical that children who are at risk for math difficulty are identified early. We developed and validated a prekindergarten math subtest (i.e., CIRCLE Progress Monitoring [CPM] Math Subtest). This teacher-completed measure evaluates domains considered important for later math development.…

The objective of this study is to produce a vignette in measuring mathematical knowledge for teaching based conceptual (MKT-C). The method of this research is a development research conducted by synthesizing the expert reviews on MKT-C in the knowledge domain of material content which was divided into sub domains: common content knowledge based…

This study aimed to develop a three-dimensional geometric thinking test to determine the geometric thinking of early graders in the paper-pencil environment. First, we determined the components of three-dimensional geometric thinking and prepared questions for each component. Then, we conducted the pilot studies of the test at three stages in six…

In the present study we aimed to develop a multidimensional test assessing high school students' knowledge about triangles, and then to determine the validity evidence for it based on the internal structure and relations to another variable and its reliability. The test developed was administered to 557 tenth grade students. To assess the validity…

There is an emerging consensus that spatial thinking is fundamental to later success in math and science. The goals of this study were to design and evaluate a novel test of three-dimensional (3D) mental rotation for 4- to 8-year-old children (N?=?165) that uses tangible 3D objects. Results revealed that the measure was both valid and reliable and…

In this article we discuss the findings of our research on students' understanding of vector concepts in problems without physical context. First, we develop a complete taxonomy of the most frequent errors made by university students when learning vector concepts. This study is based on the results of several test administrations of open-ended…

A copying test (VAT) is described in which the test items can function as teaching objectives with the expectation that acquiring competency in the represented behaviors will be generalized to other visual-motor tasks. Six hundred and sixty-seven kindergarten first- and second-grade children were tested. Results show: (1) a reliable scoring method…

Summarizes a reanalysis of the data from an investigation of a test designed to measure a learning sequence in geometry based on the work of van Hiele (1986). Discusses the test based on the Rasch model. (YP)

Responds to Crowley's and Wilson's articles on the reliability of the van Hiele Geometry Test. Discusses the issue of the difficulty of trying to maximize content validity while minimizing measurement error. (YP)