In this paper we describe a number of types of errors and underlying misconceptions that arise in mathematical reasoning. Other types of mathematical reasoning errors, not associated with specific misconceptions, are also discussed. We hope the characterization and cataloging of common reasoning errors will be useful in studying the teaching of…

The concept of function is the single most important mathematical concept studied from kindergarten to graduate school and is critical throughout the full range of education. Thus, the goals of this book are to contribute to research in learning the concept of function and to provide a resource for mathematics teachers that could help them in…

This paper explains the results of a survey of students' ideas about food as a scientific concept. The survey found that high school students in Singapore (n=66) displayed an anthropocentric view of food that was not generally applied across living organisms in heterotrophs (animals) or autotrophs (plants) as a whole. It is also noted that…

Since weather plays an important role in many ways in our everyday life, the study of meteorological phenomena by school children becomes of great importance in enhancing their scientific literacy. This necessity becomes even more important today, as these phenomena are connected to serious environmental problems such as climate change and air…

Since 1991, the National Science Foundation has funded 59 state, urban, and rural systemic initiatives to promote achievement in math, science, and technology. The Appalachian Rural Systemic Initiative (ARSI) is a six-state consortium that focuses these efforts on low-income rural schools. A primary means of accomplishing this is a 1-day,…

Explores the language used by teachers to denote various forces and investigates possible misconceptions they might hold about force and motion. Results indicate that biology and chemistry specialists hold the most misconceptions. Contains 17 references. (DDR)

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)

Argues that assessment should be an integral component of the science curriculum and that assessment should assist students and teachers in accomplishing their goals. Points out the failures of the process-product models of school reform. (DDR)

Discusses misconceptions about constructivism by identifying related myths such as students should always be actively and reflectively constructing, manipulatives make learners active, and cooperative learning is constructivist. One central goal of constructivism should be that students become autonomous and self-motivated in their learning.…

Addresses the need for organizing a science curriculum around contextual settings and science stories that serve to involve and motivate students. Outlines a proposed program of activities in terms of a sequence of theoretical and empirical activities that involve contextual settings, science stories, large context problems, thematic teaching, and…

Discusses the implications of a research study of more than 2000 students aged 11 to 15 that explored why the students interpret algebra in certain ways. Recommends strategies that can help teachers deal with prior knowledge that students may bring to their study of algebra. (DDR)

A Paterson (New Jersey) teacher criticizes well-meaning prescriptions for educating students for a civil society. Reforms based on skills-based instruction and test-driven assessment are failing. Inequality is the core issue. Schools cannot compensate for class and racial inequalities, particularly if inequitable funding mechanisms persist.…

Many white, middle-class teachers tend to dismiss their students' cultures and judge parental involvement by their own behavioral norms. Many nontraditional literary experiences occur as parents and children go about their daily lives. Teachers may also have limited views of parental competence, motivation, and home-school collaboration. Teachers…

Presents a collaborative learning exercise intended to teach the unfamiliar terminology of experimental design both in biology classes and biochemistry laboratories. The exercise promotes discussion and debate, develops communication skills, and emphasizes peer review. The effectiveness of the exercise is supported by student surveys. (SOE)

Examines four areas of difficulty with graphing and modeling, identifies confusions and misconceptions, and shows how these areas interact in the presence of data-collection devices. (KHR)