This paper presents the results of a study designed to facilitate teacher candidates' shift from students of mathematics to teachers of mathematics. We develop a series of tasks each of which encourages candidates to reconsider rich tasks from increasingly teacher-centric points of view. The results show that using authentic high school student…

Basic and superior reasoning skills are woven into the clinical reasoning process just as they are used to solve any problem. As clinical reasoning is the central competence of medical education, development of these reasoning skills should occur throughout the undergraduate medical curriculum. The authors describe here a method of teaching…

"Help! I'm stuck!" How many times have you heard a student make a similar plea? What do you consider when deciding how to respond? What reasoning is most productive? As part of a large research project, the authors explored these questions with 131 prospective and practicing teachers and found patterns in their reasoning. They began their project…

For the students who have just entered colleges, learning university physics would be a challenge. This paper discusses how to make students who have just finished senior high school physics won't feel difficult in learning university physics and how to guide and cultivate the students' interest in the study of physics so to stimulate the…

The purpose of this study was to determine the ways in which cooperative problem solving in physics instructional laboratories influenced the students' ability to provide qualitative responses to problems. The literature shows that problem solving involves both qualitative and quantitative skills. Qualitative skills are important because those…

Challenges, mistakes, and problems are inherent every day in learning activities and social interactions. How children think about and respond to those difficult situations has an impact on how they see themselves as being able to shape their own learning and on how they handle the next problem that comes their way. Building resilience means…

Although it is essential to incorporate new technologies into the classroom, says Isseks, one trend has negatively affected instruction--the misuse of PowerPoint presentations. The author describes how poorly designed PowerPoint presentations reduce complex thoughts to bullet points and reduce the act of learning to transferring text from slide to…

This author is on a journey--hoping that his expertise might have some small local impact. He shares his experiences that might relate to those who are thinking about volunteering abroad, or trying to modernise a system that is cemented in place. Creating change, developing teaching styles, and working for a charity are some of the challenges he…

During Mathematics Teaching Course-I (MT-I), the author was given the opportunity to teach a primary mathematics class at a Government school in Karachi, Pakistan while on teaching practice. The author was lucky to be able to share the lesson planning with a friend, and they found the sharing of ideas a supportive process. The focus of the lesson…

Introduction: A way to find out how scientific thinking in children develops is to focus on the processes that are involved. As such, scientific thinking can be seen as a particular form of problem solving in which the problem solver selects a strategy from the space of possible experiments that can reveal the cause of an event. Notwithstanding…

Current methods for detecting growth of students' problem-solving skills in math focus mainly on analyzing changes in test scores. Score-level analysis, however, may fail to reflect subtle changes that might be evident at the item level. This article demonstrates a method for studying item-level changes using data from a multiwave experiment with…

This viewpoint paper presents the writer's opinion that while the use of problem solving as the core method for learning mathematics is valid and reasonable in secondary schools (where students generally possess the necessary prior skills and strategies) there are many obstacles to applying the same method in primary schools, particularly in the…

In this article, the authors present an approach to developing open-ended problems through capturing contextualised mathematics in photographs. They draw upon their research with the Problem Posing Research Project, a collaborative venture between an Australian and a Canadian university to broaden pre-service teachers pedagogical practices in the…

Traditional review sessions are intended to help students learn and prepare for upcoming exams. Most sessions are passive question and answer sessions that look backward at content deficits rather than advancing student learning. By incorporating active and cooperative learning approaches during a review session, students are able to recognize…

Street intersections are a source of accidents--for both automobiles and pedestrians. This article presents an intersection challenge that allows students to explore some possible ways to change the traditional intersection. In this challenge, teachers open up the boundaries and allow students to redesign their world. The first step is to help…