When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row reduce matrices that does not introduce additional…

The purpose of this study was to provide preliminary results on the use of schema-based strategy instruction to teach addition and subtraction word problem solving to a fourth grade student with autism. The student was taught to use schematic diagrams to solve three types of addition and subtraction word problems. A multiple probes across…

The aims of this article are to review the multiple relations between creativity and personality, exploring the measurement instruments that have been used to identify them. Specific personality characteristics and traits found in highly creative individuals and the interaction of these traits with the creative process are described. In addition,…

In this article, I share the shape and findings of a participatory action research project with newcomer youths on the contours of status in society. This project was nested in a professional internship experience for newcomer youth, and this experience provided the context in which we explored how privilege and status are afforded in American…

Despite the rigorous debate around the purposes of higher education and the associated concept of graduate attributes, science education at the tertiary level has remained largely impervious to engaging with these ideas. This may be due to the emphasis on the knowledge base of the hard science as opposed to the emphasis on the knower in the…

Algebraic solving ability had been discussed by many educators and researchers. There exists no definite definition for algebraic solving ability as it can be viewed from different perspectives. In this paper, the nature of algebraic solving ability in terms of algebraic processes that demonstrate the ability in solving algebraic problem is…

Students with disabilities are frequently granted accommodations for high-stakes standardized tests to provide them an opportunity to demonstrate their academic knowledge without interference from their disability. One type of possible accommodation, test response format, concerns whether students respond in multiple-choice or constructed-response…

This exploratory study presents the outcomes of using self-explanation to improve learners' performance in solving basic chemistry problems. The results of the randomized experiment show the existence of a moderation effect between prior knowledge and the level of support self-explanation provides to learners, suggestive of a synergistic effect…

The 2012 U.S. presidential election is the perfect opportunity to present a timely civics lesson on how a U.S. president is elected. More important, it offers opportunities for students to reason mathematically about election issues--for example, about how much time and resources the candidates should invest in particular states. The results of…

This study pilot tested an employability skills rubric (ESR) to support the summary of performance (SOP) requirement in Individuals With Disabilities Education Improvement Act. The ESR consisted of three performance areas: (a) Responsibility, (b) Problem-Solving Skills, and (c) Interpersonal Skills. The study sought to establish (a) interrater…

Using constructivist theory and knowledge components as a theoretical framework, this paper reports lecturers' perceptions of prior knowledge needed for solving a sample acid-base titration problem involving the neutralization of a conjugate base of a weak acid with a strong acid. Twelve participants were engaged for the study. Their participation…

A key challenge of the learning sciences is moving research results into practice. Educators on the front lines perceive little value in the outputs of education research and demand more "usable knowledge". This work explores the potential instead of usable artifacts to translate knowledge into practice, adding scientists as stakeholders…

Helping students to construct robust understanding of physics concepts and develop good solving skills is a central goal in many physics classrooms. This thesis examine students' problem solving abilities from different perspectives and explores strategies to scaffold students' learning. In studies involving analogical problem solving…

The purpose of this study was to explore teaching styles and how frequently teachers with a variety of teaching styles incorporate multiple representations, such as manipulatives, drawings, counters, etc., in the middle school mathematics classroom. Through this explanatory mixed methods study it was possible to collect the quantitative data in…

Educators at all levels want their students to develop habits of self-directed learning and critical problem-solving skills that encourage ownership and growth. In "The Learner-Directed Classroom," practicing art educators (PreK-16) offer both a comprehensive framework for understanding student-directed learning and concrete pedagogical strategies…