This experiment describes a discovery-based method for the regio- and stereoselective hydrochlorination of carvone, appropriate for a 3-h second-semester organic chemistry laboratory. The product is identified through interpretation of the [superscript 13]C NMR and DEPT spectra are obtained on an Anasazi EFT-60 at 15 MHz as neat samples. A…

General chemistry students often have difficulty writing balanced equations and performing stoichiometry calculations for precipitation reactions, in part because of difficulty understanding the symbolic notation used to represent chemical reactions. We have developed a problem-based experiment to improve student learning of these concepts, and…

Pondering a math problem while she swings her sneakered feet from a chair, 12-year-old Andrea Guevara is helping researchers design an assessment that will shape the learning of 19 million students. The 8th grader, who came to the United States from Ecuador three years ago, is trying out two ways of providing English-language support on a…

The teaching of bioethics and its importance in clinical relationships is to a certain extent complicated when we address students of medicine, young people who are more used to dealing with and solving strictly clinical problems. Informed Consent is one of the aspects of professional practice that is generally and widely accepted in Western…

Art is about thinking. It requires persistence and a willingness to explore many options for solving problems. These are not quantifiable measurements but, more significantly, they rely on students' increasing development of the ability to learn through exploration, experimentation, self-questioning, and self-assessment. Using paper, scissors, and…

The new common core standards for mathematics demand that students (and teachers!) exhibit deeper conceptual understanding. That's music to the ears of education professor John Tapper, who says teachers have overemphasized teaching procedures--and getting right answers. In his new book, "Solving for Why," he makes a powerful case for moving beyond…

A ballerina, a gladiator, a camper, a baseball player, a surfer, and a shopper; these are just a few of the amazing monkeys that the author's seventh graders created from papier-mache. This project provided an opportunity for students to express themselves through the creation of sculptural characters based on their own interests, hobbies, and…

A method is proposed to simplify analytical computations of the transfer function for electrical circuit filters, which are made from repetitive identical stages. A method based on the construction of Pascal's triangle is introduced and then a general solution from two initial conditions is provided for the repetitive identical stage. The present…

In this paper, an optimal tuning tool is presented for control structures based on multivariable proportional-integral-derivative (PID) control, using genetic algorithms as an alternative to traditional optimization algorithms. From an educational point of view, this tool provides students with the necessary means to consolidate their knowledge on…

Recent publications have documented positive attitudinal shifts on the Colorado Learning Attitudes about Science Survey (CLASS) among students enrolled in courses with an explicit epistemological focus. We now report positive attitudinal shifts in classes using the "Physics by Inquiry" ("PbI") curriculum, which has only an…

Demonstrating probabilistic outcomes using real-time data is especially well-suited to larger lecture classes where one can generate large data sets easily. The difficulty comes in quickly collecting, analyzing, and displaying the information. With the advent of wireless polling technology (clickers), this difficulty is removed. In this paper we…

Sometimes, in the teaching and learning of mathematics, open-ended problems posed by teachers or students can lead to a fuller understanding of mathematical concepts--a depth of understanding that no one could have anticipated. Interesting solutions and ideas emerged unexpectedly when the authors asked prospective and in-service teachers an "old"…

Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the…

The intent of this paper is to suggest the dimensions of intentional learning and identify the key cognitive benefits of systems modeling with regard to intentional learning through a review of related studies. The authors propose that intentional learning occurs when learners realize the need for refining their conceptual understanding, relate…

Tasks to Advance the Learning of Mathematics (TALMs) were developed to stimulate grades 5-8 students' curiosity about complex mathematical relationships, inspire them to reason abstractly and quantitatively, encourage them to consider and create alternative solution approaches, develop their skills to persuade others about the viability of one…