This paper presents a problem-solving test that deals with the regulation of the "trp" operon of "Escherichia coli." Two mutants of this operon are described: in mutant A, the operator region of the operon carries a point mutation so that it is unable to carry out its function; mutant B expresses a "trp" repressor protein unable to bind…

In this paper, canonical transformations generated by constants of motion in the case of the Kepler problem are discussed. It is shown that canonical transformations generated by angular momentum are rotations of the trajectory. Particular attention is paid to canonical transformations generated by the Runge-Lenz vector. It is shown that these…

Novices to the design process often struggle at first to understand the various stages of design. Learning to design is a process not easily mastered, and therefore requires multiple levels of exposure to the design process. It is helpful if teachers are able to implement various entry-level design assignments such as reverse-engineering…

In this article we show how the Sudoku puzzle and the three simple rules determining its solution can be used as an introduction to proof-based mathematics. In the completion of the puzzle, students can construct multi-step solutions that involve sequencing of steps, use methods such as backtracking and proof by cases, and proof by contradiction…

Quilt investigations, such as the Barn quilt problem in the December 2008/January 2009 issue of "Teaching Children Mathematics" and its solutions in last month's issue, can spark interdisciplinary pursuits for teachers and exciting connections for the full range of elementary school students. This month, North Dakota's centennial quilt…

Colleen Vale makes the case for professional learning teams collaborating together to improve their teaching and hence children's achievement. In this article she describes how this may be done. Along the way the teachers explored the idea of equivalence and the common conceptions and misconceptions held by children in their classes.

In order to be successful in problem-or project-based learning (PBL), students must take responsibility for the learning process by setting goals, monitoring, reflecting, and sustaining their motivation from the beginning of the project until the end. However, for many students, these processes do not occur naturally or easily. Therefore, the…

This paper discusses a talent management and career planning system designed based on the performance and qualifications of a group of interns working for an emerging social media company located in Istanbul. The proposed model is dynamic, comparative, and perceptional in constructing a talent pool for an organization. This system was developed…

This article, the second of a two-part series, features 11 teaching innovations presented at the 2014 Association for Business Communication annual conference. These 11 assignments included leadership and other-focused communication--detecting communication style, adaptive communication, personality type, delivering feedback, problem solving, and…

This paper is a descriptive and preliminary report on recent efforts to address two questions: 1) Can school mathematics be used to enhance our students' ability to understand their changing world? and 2) What role might computer technology play in this regard? After recounting some of the mathematical tools that led to a better understanding of…

SProblem solving has a long and successful history in mathematics education and is valued by many teachers as a way to engage and facilitate learning within their classrooms. The potential benefit for using problem solving in the development of algebraic thinking is that "it may broaden and develop students' mathematical thinking beyond the…

Both writing and math require purposeful teaching. This article describes how one teacher discovered that she could teach math in a way that paralleled how she taught writing by researching what students know and then nudging them ahead to the next level of understanding. Just as effective writers employ creativity, perseverance, and revising,…

Problem-solving activities let students use knowledge gained in various areas of their academic education. They bring together skills and knowledge from such areas as science, math, art, and English by simulating activities and projects students will encounter later in career and life experiences. A very important feature of most problem-solving…

A web database of solved problems has been created to enable faculty to incorporate biological applications into core courses. Over 20% of US ChE departments utilized problems from the website, and 19 faculty attended a workshop to facilitate teaching the modules. Assessment of student learning showed some gains related to biological outcomes, as…

The solution-focused counseling theory provides a useful framework that can be applied to supervision of counselors-in-training. Solution-focused supervision is especially useful for school counseling site supervisors who may not have much time for supervision, who may not have had much training in clinical supervision, or who may have had…