evolving research of mathematics teacher educators: the case of non-standard issues in solving standard problems

This study describes the learning of researchers who engage in mathematics teacher education as an integral part of their practice. As teacher educators working with teachers on the subject of proportional reasoning, the authors reflected on teachers solutions to a standard problem and analyzed answers that would conventionally be considered incorrect. This exploration showed that some incorrect answers made sense, were based on problem situation analysis, and brought attention to the fact that conventional formal answers were given without much deliberation on their meaning in the situation. This insight prompted a second research phase in which teachers discussed and explained alternative solutions, and developed deeper analysis of problem situation in solutions that had been correct in the first place. The importance of making teachers aware of the nature of alternative solutions was further exhibited in a third research phase in which teachers evaluated childrens answers to the same problem. The pedagogical insight that emerged stressed the importance of making teachers aware of the tension between an almost automatic application of a mathematical model, and of analyzing problem situation during problem solving. In addition, the researchers developed better understanding of the mathematical challenge associated with the proportional reasoning problem, a stronger awareness of the role of sensitivity to their learners (the teachers), and of the role of reflection.     

Teachers’ Learning Communities for Developing High Order Thinking Skills—A Case Study of a School Pedagogical Change

Interchange - This study deals with an elementary school that is undergoing a process of pedagogical change. The teachers understood that their weak point was excessive use of teaching based on...     

Perception of the accomplished teacher among teacher educators in “research oriented” and “teaching oriented” institutes in Israel

The purpose of this study is to examine the perceived components of effective teachers among teacher educators in research and teaching-oriented institutes in Israel.