Mastering mathematics is often challenging for many students; however, the rise of artificial intelligence (AI) offers numerous advantages, including enhanced data analysis, automated feedback, and the potential for creating more interactive and engaging learning environments. Despite these benefits, there is a need for comprehensive reviews that…

No matter what path students pursue in postsecondary education and in life, they need to be able to problem-solve and think critically. The study of mathematics teaches skills and habits of mind that are an essential part of the formula for students to succeed in further studies and in their careers. Requiring all students, regardless of the…

Despite increasing college enrollment and growing diversity of the college student population, college completion rates are low. Many colleges are exploring ways to leverage technology to improve student retention and increase the educational options for and success of their diverse student bodies. Web-based course or learning management systems…

Illustrates an integrative approach to business education that combines interpersonal and problem-solving skills with behavior modeling films and case studies. This approach is advocated to ensure higher levels of learning of both practical and theoretical issues related to real business situations. (SK)

Explains the concept of environmental auditing as analogous to financial auditing, as manifested through the six guiding principles of environmental excellence, and as utilized by industrial and commercial interests. Presents a questionnaire-based method to introduce students to the techniques involved in environmental auditing. (seven references)…

Discusses the problem-solving heuristics of examining for special cases, utilizing dimensions to make sense of proposed solutions, and symmetry. Presents examples to illustrate the use of one or combinations of these heuristics. (MDH)

Presents a public-key cryptosystem application to introduce students to several topics in discrete mathematics. A computer algorithms using recursive methods is presented to solve a problem in which one person wants to send a coded message to a second person while keeping the message secret from a third person. (MDH)

Issues that face learning-disabled students and their parents during the transition from a secondary to a postsecondary setting are explored, and recommendations are offered for consideration in resolving problems during this period. (JDD)

The article provides practical information and techniques for effectively using creative problem-solving. Six stages of problem solving, with both convergent and divergent thinking phases, are discussed. Also discussed are equipment, time frames, and environmental requirements for creative problem-solving sessions. Sample exercises are offered.…

This paper reviews the present state, recent trends, and prospective lines of development concerning applied problem solving, modeling, and their respective applications. Four major trends are scrutinized with respect to curriculum inclusion: a widened spectrum of arguments, an increased universality, an increased consolidation, and an extended…

Clarifies the meaning of writing across the curriculum and writing to learn mathematics, and describes formal and informal approaches for incorporating writing into the mathematics classroom. Concludes that writing in mathematics can identify math anxious students and help discover students' misconceptions. (11 references) (MDH)

Discusses a misconception about the cycloid that asserts the final point on the path of shortest time in the "Brachistochrone" problem is at the lowest point on the cycloid. Uses a BASIC program for Newton's method to determine the correct least-time cycloid. (MDH)

The planning and organization of problem-solving workshops for teachers are discussed. Suggestions for activities and anecdotes of teacher participation at workshops are provided. (CW)

Considers the reasons that mathematical word problems are particularly difficult for remedial students. Describes the use of language-oriented teaching techniques in helping students to understand and solve word problems and to recognize that English and mathematics are two overlapping language systems. (PAA)

Uses the problem of determining when a car and truck traveling at the same speed will collide after the truck has applied its brakes to illustrate the need to consider boundary conditions when solving problems in elementary mechanics. (MDH)