A typical mathematics assignment consists primarily of practice problems requiring the strategy introduced in the immediately preceding lesson (e.g., a dozen problems that are solved by using the Pythagorean Theorem). This means that students know which strategy is needed to solve each problem before they read the problem. In an alternative…

Attending to precision (ATP) is essential in mathematics. This study examined ATP instances through the lens of univocal (functioning to convey information) and dialogic (functioning to generate new meaning) discourse. Analysis of data from five secondary mathematics classrooms focused on whole-class instances of ATP with coding based on the…

The aim of this study is to assess learner views with regard to ProbSol learning environment prepared according to problem solving steps for the teaching of "applications related to equations and inequalities". In line with this aim, the study was carried out with 15 volunteered 9th graders who are taught with ProbSol. The study is a…

This paper looks at an activity that breaks the normal classroom teaching pattern (where students are often content to be reluctant, inactive participants in the learning process) with an activity that is likely a new experience for most students--letting the students create and solve their own problems. This is done within a problem structure…

In this case study the focus is on lecturers' readiness in the design of PBL problems and to facilitate students' learning. This paper also looks into students' readiness in terms of acquiring metacognitive skills and collaborating in group to solve PBL problems. Problems encountered by both lecturers and students are discussed in the context of…

The authors are a team of teachers and teacher educators who are deeply interested in helping mathematically-challenged students improve in their learning of mathematics. In Singapore, depending on their performance at the end of a nationwide Year 6 examination, students are channelled into three ability streams for Years 7 to 10: Express (60%),…

When Alexis Wiggins returned to full-time teaching after having a baby, she took with her an idea from the book "A Path With Heart" by Buddhist Jack Kornfield. The idea was that each day might go better if she viewed everyone she encountered during that day, including any student or parent who seemed to make her teaching life harder, as…

The purpose of this research is to know how Naïve Geometry method can support students' understanding about the concept of solving quadratic equations. In this article we will discuss one activities of the four activities we developed. This activity focused on how students linking the Naïve Geometry method with the solving of the quadratic…

America's history books abound with stories of immigrants who contributed to the development of this country. In terms of social studies curriculum, all states require schools to teach about immigration. However, the question is how to teach this topic in a manner that will give students--elementary through high school--a better understanding of…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

Proof and proving are important components of school mathematics and have multiple functions in mathematical practice. Among these functions of proof, this paper focuses on the discovery function that refers to invention of a new statement or conjecture by reflecting on or utilizing a constructed proof. Based on two cases in which eighth and ninth…

Teaching about the sociology of HIV/AIDS involves teaching about the causes and effects of stigma. We describe a Sociology of HIV/AIDS course at the University of Alabama in which stigma reduction was assessed as a primary objective. The syllabus involved theory-based instruction, class visits, service learning, and student research on community…

Between 1854 and 1930, over 200,000 children left New York City, as well as other major east coast cities, bound for families in rural areas. They traveled to towns in New England, the Midwest, the South, and even as far west as Texas, California, Oregon, and Washington. These orphans were the children of immigrant families who were pouring into…

Too often educators pay too little attention to the psychological and emotional impact subject matter has on students. Teaching effectiveness would be greatly enhanced if educators would consider students' affective reactions to material delivered in courses, workshops, and other collegiate learning experiences.

Games and simulations are increasingly used in courses on international politics. This study explores the hypothesis that games are better than simulations (as well as only reading and lectures) in introducing students to abstract concepts integral to an understanding of world politics. The study compares a two-level Prisoner's Dilemma game…