The concept of dimension, one of the most fundamental ideas in mathematics, is firmly rooted in the basis of the school geometry in such a way that mathematics teachers rarely feel the need to mention anything about it. However, the concept of dimension is far from being fully understood by students, even at the college level. In this paper, we…

In order to move students' thinking from the exploration experiences to concept understanding (and thus the ability to then apply that understanding), teachers must deliberately consider students' misconceptions, the intermediate steps to the accurate conception, and how to scaffold students' understanding step-by-step to the desired…

Problem Statement: Student teachers' beliefs and conceptions affect not only what and how they learn in teacher education programs, but also their future professional development in their teaching careers. Examining and understanding student teachers' beliefs and conceptions is therefore crucial to improving their professional preparation and…

In this article, the authors explore framing, a non-multiplicative technique commonly employed by students as they construct similar shapes. When students frame, they add (or subtract) a "border" of fixed width about a geometric object. Although the approach does not yield similar shapes in general, the mathematical underpinnings of…

Since long time ago, many authors advocated for more presence of physics history in physics teaching and learning in order to give students a better vision of the "nature of science", in other words, to let them learn not only established physics knowledge but also the ways of how physicists managed to get that knowledge. Generally,…

Accompanying the growth in student diversity, the disproportional representation of culturally and linguistically diverse (CLD) students in special education categories has drawn the attention of researchers and educators. However, teachers often reported a lack of competence to work with CLD population with and without disabilities. The purpose…

"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…

Professional development has been a focus of public education since World War II, yet, it was not until the passage of the Goals 2000: Educate America Act in 1994 that professional development became federally mandated. The infusion of educational technology at the start of Goals 2000 created a natural connection with professional development. In…

The goal of this study was to understand errors that student make when simplifying exponential expressions. College students enrolled in four college mathematics courses were asked to simplify and compare such expressions. Quantitative analysis identified three persistent errors: interpreting negative bases, negative exponents, and parentheses.…

The Arab American/Muslim population is the fastest growing ethnic and religious minority group in the United States. However, due to traditional American religious and cultural influences, the practices employed by physical education teachers often conflict with the family and individual values of the Arab American and Muslim culture. Furthermore,…

Social workers will inevitably encounter survivors of domestic violence or sexual assault in their work. In this study we explore how education, training, and personal or professional experiences influence students' attitudes, beliefs, and behavior toward survivors. Results indicate that education and/or training decreases students' blaming…

Misconceptions that students bring with them to the introductory science classroom plague every area of science and are especially prevalent in astronomy. One way to identify and possibly dispel some of these misconceptions is through the use of a misconceptions survey. The following is a report on the development, implementation, and some early…

The purpose of this study is to provide an account of preservice elementary mathematics teachers' understandings about irrational numbers. Three dimensions of preservice mathematics teachers' understandings are examined: defining rational and irrational numbers, placing rational and irrational numbers on the number line, and operations with…

Pseudoscience is error, substantive or methodological, parading as science. Obvious examples are parapsychology, "intelligent design," and homeopathy. Psychoanalysis and pop evolutionary psychology are less obvious, yet no less flawed in both method and doctrine. The fact that science can be faked to the point of deceiving science lovers suggests…

Genes are often described by biologists using metaphors derived from computational science: they are thought of as carriers of information, as being the equivalent of "blueprints" for the construction of organisms. Likewise, cells are often characterized as "factories" and organisms themselves become analogous to machines. Accordingly, when the…