Inquiry-oriented teaching is a specific form of active learning gaining popularity in teaching communities. The goal of inquiry-oriented classes is to help students in gaining a conceptual understanding of the material. My research focus is to gauge students' performance and conceptual understanding in inquiry-oriented linear algebra classes. This…

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 novel scoring procedure was investigated in order to obtain scores from a conventional multiple-choice test that would be free of the guessing component or contain a known guessing component even though examinees were permitted to guess at will. Scores computed with the experimental procedure are based not only on the number of items answered…

The New Jersey College Basic Skills Placement Test (NJCBSPT) is designed to measure basic reading, writing, and mathematics skills of students entering New Jersey colleges. The test consists of five sections: Essay, Reading Comprehension, Sentence Sense, Mathematical Computation, and Elementary Algebra. The test is intended to answer the question…

One of the most ambitious attempts to assess students' understanding of mathematics was carried out in England between 1974 and 1979. The results of this study indicate that there is a need in an overall assessment program to evaluate students' algebraic understanding as well as to measure their achievement in algebraic manipulations and problem…