In this paper, we describe the skeleton of two teaching units, based on a Model for teaching mathematics, Context Orientated Teaching (COT). The first teaching unit concerns the proof of a mathematical proposition, while the second one concerns the solution of an open problem. Both are taught in the 10th grade, under the specific conditions of the…

Mathematical optimization problems are not typical in the classical curriculum of mathematics. In this paper we show how several generalizations of an easy problem on optimal transportation were solved by gifted secondary school pupils in a correspondence mathematical seminar, how they can be used in university courses of linear programming and…

Mathematical models have become an important tool for understanding the control of eye movements during reading. Main goals of the development of the SWIFT model (R. Engbert, A. Longtin, & R. Kliegl, 2002) were to investigate the possibility of spatially distributed processing and to implement a general mechanism for all types of eye movements…

This article summarizes findings from resilience literature relevant to the development of children and youth and derives specific strategies for enhancing outcomes for gifted children and youth most at risk for encountering adversity. Following a description of types of factors critical to understanding resilience literature, the authors focus on…

The affordances of online learning technologies have enabled more widespread development of learning environments that facilitate the exploration and solving of complex and realistic problems. In this paper, we describe the design of a real world geography problem, embedded within a web environment that is facilitated by an onsite excursion for…

Mandates through legislative and policy changes for increased student outcome accountability have intensified demands for meaningful school reform and an emphasis on scientifically based practices. However, there continues to be a major disconnection between an ever-growing body of research on effective educational practices and what is actually…

The teenage years can be particularly challenging due to the multitude of developmental and environmental changes that occur in tandem. It is a crucial time for mental health intervention because several behavioral and emotional difficulties increase from childhood to adolescence. The mental health of adolescents depends heavily on the ways they…

Challenges in reconciling trade liberalization policies and efforts to protect the natural environment provide useful illustrations to underscore important concepts in management education. In particular, the three-way interactions among government, business, and nongovernmental organizations (NGOs) over economic and environmental trade-offs serve…

This study describes a classroom action research activity regarding a group of elementary school teacher candidates' perceptions of good mathematics problems. A questionnaire containing 20 problems was given, and the candidates were asked to rate the quality of each problem on a 5-point scale. The results revealed that the majority of the teacher…

Over the past two decades, calculus reformers have called for the use of alternative pedagogical techniques to promote student learning. Some mathematics instructors have responded by developing a set of student projects intended to hone thinking skills and improve the mathematical writing skills of calculus students. Drawbacks to this strategy…

In this article, the author discusses the perils of adhering to a data-driven model of instruction, and discusses how writing center coaches can become involved with all academic disciplines represented at their schools--even those with which they are not familiar--in order to help students learn how to think about the things they are studying and…

The authors discuss proportional reasoning as a challenging yet central concept for students in the middle grades that lays a foundation for mathematics studied later in high school. Four types of proportional reasoning problems are discussed: (1) Part-part-whole (comparing a subset (part) of a whole with its complement (other part) or the whole…

Recently, the author has been fortunate to be a visitor in a number of classrooms in the United States, England and Europe. On one such visit to an Elementary School in Columbia, Missouri, the teachers accepted him into their normal classrooms for their normal lessons. He moved between three classes: Grade 1, Grade 2 and Grade 4. A snapshot…

This paper explores the wide range of mathematics content and processes that arise in the secondary classroom via the use of unusual counting problems. A universal pedagogical goal of mathematics teachers is to convey a sense of unity among seemingly diverse topics within mathematics. Such a goal can be accomplished if we could conduct classroom…

I altered the format of an exercise physiology course from traditional lecture to emphasizing daily reading quizzes and group problem-solving activities. I used the SALGains evaluation to compare the two approaches and saw significant improvements in the evaluation ratings of students who were taught using the new format. Narrative responses…