The aim of this study is to examine the mistakes made by students in the use of logical connectives while simplifying algebraic equations and inequalities, and the extent to which teachers are aware of these mistakes and how they assess them. The study was conducted among 50 ninth grade students and 63 practicing teachers of mathematics. The data…

Once a novelty, Digitally-Based Assessments (DBA) have become commonplace in the USA. With mathematics, it is often a necessity to include items that require the student to input a mathematical formula, equation, or expression. Many of these responses, especially in the upper grades, cannot be input with a standard keyboard, but must use some type…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…