This article illustrates how the arithmetic series 1 + 2 + 3 + ... + n is pervasive in mathematical contexts as a powerful problem-solving tool.

Normative confusion in education often stimulates 3 responses, appeal to: (a) top-down standards, (b) traditional communal norms, or (c) laissez-faire individualism. Strangely neglected is a collaborative approach, the attempt to consult with others and negotiate in an inclusive, fair, and open manner. Neglect of collaboration is undoubtedly due…

In this article, the author discusses how teachers should not merely teach their students content-mastery and problem-solving skills. She believes that teachers should learn about the sources of their students. The author discusses that in order to effectively teach students, teachers must not give everything to their students. Students must be…

The Career Mathematics file is an occupational problem-solving system, which includes a wide range of mathematical problems and solutions, collected from various resources and helps students establish connections between mathematics and their environment. The study shows that the problems given can be used as realistic examples to study and…

I report on the findings from research and literature on (a) use of symbols in mathematics, (b) algebraic/trigonometric expressions, (c) solving equations, and (d) functions and calculus. From these, some insights and implications for teaching and learning are derived.

For teachers of a second language (L2), the role of grammar instruction in the classroom has been a perennial subject of debate and has undergone many changes over the years. For example, the once well-respected traditional methods that relied on extensive drilling and memorization of grammar evoked a backlash in the 1970s, which resulted in new…

This research examines the use simulation, "StarPower," as an instrument to teach students about ethics in management and leadership. The paper begins with an overview of sources of learning in leadership and management development and later focuses specifically on the use of simulations. This is followed by a brief explanation of the…

Unit planning is perhaps the most difficult of the teacher duties to execute well. This paper offers suggestions for improving focus and increasing the meaningfulness of thematic unit content for students. Stressing the concept of a Big Understanding, it outlines 6 sequential steps in the creation of units which, when applied, not only establish a…

Design is an increasingly important component of our world-at-work. This project reveals the views of design educators working within vocational education and training (VET). Research participants called for a review of design education teaching methods in the VET context, with a particular focus on promoting innovation and creativity in diploma…

Design is an increasingly important component of the world-at-work. This project reveals the views of design educators working within vocational education and training (VET). Research participants called for a review of design education teaching methods in the VET context, with a particular focus on promoting innovation and creativity in diploma…

The purpose of this case study is to highlight the integral role that progress monitoring (PM) plays throughout any response to intervention (RTI) process. This example uses a three-level, responsiveness-to-intervention (RTI) method for identifying students with learning difficulties. Using a fictional third-grade classroom as the setting for…

REL Southwest received a request to review the report "Avoidable Losses: High Stakes Accountability and the Dropout Crisis" to assess the soundness of the study methodology and the appropriateness of the conclusions drawn in the report. The review found that conclusions drawn in this study cannot be generalized and are significantly…

This toolkit includes the following separate sections: (1) Selection Preparation Guide; (2) Day-of-Interview Tools; (3) Candidate Rating Tools; and (4) Candidate Comparison and Decision Tools. Each of the sections is designed to be used at different stages of the selection process. The first section provides a list of competencies that would…

Many public and private colleges give out substantial amounts of financial aid in excess of students' demonstrated financial need to attract the most talented students in a competitive marketplace. These colleges see merit aid as an investment in institutional quality. Since top students are in high demand, colleges may have to bid against each…

The postoperative cerebellar mutism syndrome (CMS), consisting of diminished speech output, hypotonia, ataxia, and emotional lability, occurs after surgery in up to 25% of patients with medulloblastoma and occasionally after removal of other posterior fossa tumors. Although the mutism is transient, speech rarely normalizes and the syndrome is…