Introduction: This article aimed at digging deep into distractors used for mathematics multiple-choice items. The quality of distractors may be more important than their number and the stem in a multiple-choice question. Little attention is given to this aspect of item writing especially, mathematics multiple-choice questions. This article…

Learning and presenting chemical concepts at the triple level of chemical concepts provides opportunities for the development of misconceptions. The research aimed to identify potential misconceptions of chemical concepts: the states of matter, a pure substance, a mixture, an element, a compound, a physical change, and a chemical reaction at the…

The purpose of this paper is to present a conceptual framework for diagnosing teaching difficulties of a science topic in the science classroom. The development of the framework is presented as well as descriptions of the features of the framework. How the framework can be used is also elaborated? Furthermore, there is a detailed indication of an…

Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…

Researchers have extensively documented, and math teachers know from experience, that algebra is a "gatekeeper" to more advanced mathematical topics. Students must have a strong understanding of fundamental algebraic concepts to be successful in later mathematics courses. Unfortunately, algebraic misconceptions that students may form or…

Middle school is a crucial transition period for students as they move from concrete to algebraic ways of thinking. This article describes a sequence of instruction geared toward helping prospective middle school instructors teach the topic of percentages.

This is a narrative article, highlighting effective teaching strategies for teacher candidates at a four-year university in the South. The author examined preconceived negative notions teacher candidates expressed about being enrolled in a Math Block class and having to teach children about mathematics. After involving the teacher candidates in a…

The focus of the current study is to understand which unique features of an immersive virtual reality environment have the potential to improve learning relative motion concepts. Thirty-seven undergraduate students learned relative motion concepts using computer simulation either in immersive virtual environment (IVE) or non-immersive desktop…

The mathematical topic of inverse functions is an important element of algebra courses at the high school and college levels. The inverse function concept is best understood by students when it is presented in a familiar, real-world context. In this article, the authors discuss some misconceptions about inverse functions and suggest some…

Too often, teachers scratch their heads and ask, "What were my students thinking?" then answer, "I don't want to know." But teachers should want to know, and students should question their own thinking, as well. Critical thinking involves not just problem solving, creativity, analysis, and synthesis but also self-awareness of learning and learning…

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In the The Xs and Whys of Algebra: Key…

Multiple-choice testing is an educational reality. Rather than complain about the negative impact these tests may have on teaching and learning, why not use them to better understand your students' true mathematical knowledge and comprehension? Maryann Wickett and Eunice Hendrix-Martin show teachers how to move beyond the student's answer--right…

Discusses strategies for overcoming common student misconceptions. Strategies include using pretests followed by teaching techniques planned to contrast new information with students' previous ideas; using pretests followed by time for students to question ideas and test their knowledge; and giving students a real-world task that can only be…

The purpose of this study was to investigate the effects of a problem solving based instructional model on earth science students' achievement and alternative frameworks. Students' opinions toward the instructional method were also investigated. The investigations employed a pretest/posttest control group design to detect any significant change.…

Reports a study of the quality and extent of understanding of certain well-known theoretical concepts which are held by prospective teachers (N=173) of chemistry in Yemen. Results indicate that teacher understanding ranges from a partial understanding with a specific misconception to no understanding. Contains 25 references. (DDR)