This study examined the utility of brief academic assessments to identify effective generalization procedures for individual students. Specifically, the study built on the proposal that brief assessments of antecedent and consequence manipulations can identify the most effective generalization strategy for individual students. The design was an…

Research into the best practices for basic skills education, national bridge programs, the new GED® assessment, and accelerated developmental education indicated that contextualized instruction was most effective when preparing adult literacy students for college and work. Nevertheless, "remedial pedagogy" with a sole focus on the…

The main goal of this research is to gain an understanding of the challenges which have to be confronted by the engineering students at the College of Engineering and Petroleum at Kuwait University. The college has a large number of students, of which three hundred and eighty five were selected on a random basis for study purposes. The results…

An analysis of one-step equations from a cognitive load theory perspective uncovers variation within one-step equations. The complexity of one-step equations arises from the element interactivity across the operational and relational lines. The higher the number of operational and relational lines, the greater the complexity of the equations.…

This paper explores the role examples play in mathematicians' conjecturing activity. While previous research has examined example-related activity during the act of proving, little is known about how examples arise during the formulation of conjectures. Thirteen mathematicians were interviewed as they explored tasks that required the development…

A facility with signed numbers forms the basis for effective problem solving throughout developmental mathematics. Most developmental mathematics textbooks explain signed number operations using absolute value, a method that involves considering the problem in several cases (same sign, opposite sign), and in the case of subtraction, rewriting the…

The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…

Many traditional science curricula explore human body systems separately, paying little attention to how the systems interact. For example, the textbooks "Biology" (Miller and Levine 2006) and "Biology: An Everyday Experience" (Kaskel, Hummer, and Daniel 2003) detail the structure and function of each system and individual organs but offer little…

This paper describes the novel use of parallel student teams from a research methods course to perform a replication study, and suggests that this approach offers pedagogical benefits for both students and teachers, as well as potentially contributing to a resolution of the replication crisis in psychology today. Four teams, of five undergraduates…

This article suggests that logic puzzles, such as the well-known Tower of Hanoi puzzle, can be used to introduce computer science concepts to mathematics students of all ages. Mathematics teachers introduce their students to computer science concepts that are enacted spontaneously and subconsciously throughout the solution to the Tower of Hanoi…

Senior secondary mathematics students who develop conceptual understanding that moves them beyond "rules without reasons" to connections between related concepts are in a strong place to tackle the more difficult mathematics application problems. Current research is examining how the use of challenging tasks at different levels of…

This case study contributes to efforts to characterize teaching that is responsive to children's mathematical thinking. We conceptualize "responsive teaching" as a type of teaching in which teachers' instructional decisions about what to pursue and how to pursue it are continually adjusted during instruction in response to children's…

Physiology instructors often are faced with the challenge of providing informative and educationally stimulating laboratories while trying to design them in such a way that encourages students to be actively involved in their own learning. With many laboratory experiments designed with simplicity and efficiency as the primary focus, it is…

Negotiation is an interpersonal process common to everyday personal and professional success. Yet individuals often fail to recognize opportunities for initiating negotiations and the immediate and long-term implications of these oversights for themselves and others. This article describes a simple yet rich negotiation exercise that learners can…

Individuals who are deaf and hard-of-hearing (DHH) are underrepresented in science, technology, engineering, and mathematics (STEM) professions, and this may be due in part to their level of preparation in the development and retention of mathematical and problem-solving skills. An approach was developed that incorporates experiential learning and…