The purpose of this article is to examine the reasoning behind the wording of the definition of the particular solution to an initial value problem. This article will be of practical importance for students taking a first year calculus course that includes the study of first order linear separable differential equations.

Given the promise that artificial intelligence (AI) holds for economic growth and societal advancement, it is critical that policymakers not only avoid retarding the progress of AI innovation, but also actively support its further development and use. This report provides a primer on artificial intelligence and debunks five prevailing myths that,…

The Advanced Placement (AP) program was created to enhance the experience of gifted students as they transition from high school to college. "AP: A Critical Examination of the Advanced Placement Program," edited by Philip M. Sadler, Gerhard Sonnert, Robert Tai, and Kirstin Klopfenstein (2010, Harvard Education Press), questions the…

Despite the growing use of computers and software in every facet of our economy, not until recently has computer science education begun to gain traction in American school systems. The current focus on improving science, technology, engineering, and mathematics (STEM) education in the U.S. School system has disregarded differences within STEM…

Kristen Feigel is a sophomore at Wittenberg University in Springfield, OH, where she is preparing to teach secondary theater and English. When first asked if she wanted an opportunity to shadow a few teachers at the Illinois Mathematics and Science Academy (IMSA), she answered "Yes, absolutely!" Here she details experiences, surprises,…

There is no universally accepted definition of what it means to be an effective leader. Individuals understand leadership differently based on their own identities and lived experiences. The purpose of this investigation is to determine how one's ethnicity, class, and gender identities influence their understanding of effective leadership,…

This study explores the associations of ethnicity and perceived challenge with high-school students' academic engagement and perceived competence in science. Data were collected through a variant of the Experience Sampling Method in which participants reported on their levels of engagement, perceived competence, and challenge while in science…

How do schools with a focus on science, technology, engineering, and mathematics (STEM) fit in with state goals to increase innovation and to boost the economy? This article briefly discusses how educators can encourage creativity and innovation.

A limited number of highly selective high schools specializing in science, technology, engineering and mathematics (STEM) education have existed for many decades, encouraging youth with identified STEM talent to pursue careers as STEM leaders and innovators. As members of the National Consortium for Specialized Secondary Schools of Mathematics,…

I have developed a new teaching and learning model called AAAW, which stand for Analyze, Acquire, Apply and Write. This model grows from action research and unique experience in teaching a biochemistry course to high school students who are talented in math and science. In this model, students first "Analyze" lab data to generate…

Crystal Bonds is Principal at The High School for Math, Science and Engineering at City College, New York, NY. During her three years as a new principal at one of New York City's eight specialized high schools, she found herself constantly wrestling with two challenges: (1) Maintaining the school's high academic standards; and (2) protecting the…

Currently, the U.S. is not stacking up in educating students in STEM disciplines. "America lags in providing top-level schooling in STEM fields…, and this may jeopardize future economic growth, job creation, and international competitiveness" (Smarick, 2013, p. 12). International assessments of student performance, including the Program…

When the Illinois Mathematics and Science Academy (IMSA) was founded in 1985, the state of Illinois charged IMSA with two mandates: (1) "The primary role of the Academy shall be to offer a uniquely challenging education for students talented in the areas of mathematics and science." (2) "The Academy shall also carry a responsibility…

The internationally recognized Illinois Mathematics and Science Academy (IMSA) develops creative, ethical leaders in science, technology, engineering and mathematics. As a teaching and learning laboratory created by the State of Illinois, IMSA enrolls academically talented Illinois students in grades 10 through 12 in its advanced, residential…

Through secondary analysis of data collected in middle school science classrooms, this study (a) compared gifted and regular students' beliefs about the malleability of intelligence in science; (b) investigated whether teaching gifted and talented middle-school students about malleability of the brain and study skills helped them to develop a…