Specific acts of problem solving with rates and ratios were interpreted using a journey metaphor derived from Skemp's (1979) construct of director systems. To successfully undertake a problem solving journey a learner must recognise their starting place (present state), have a sense of destination (goal state), and co-ordinate sub-routes along the…

Halmos (1980) once described problems and their solutions as "the heart of mathematics". Following this line of thinking, one might naturally ask: "What, then, is the heart of problems?" In this work, I attempt to answer this question using techniques from statistics, information visualization, and machine learning. I begin the…

The main purpose of this study is to examine the view of school administrators and teachers to school counselor (Psychological Counselor) by metaphor analysis. Comparison method of relational screening models has been followed during the research. Content analysis of qualitative analysis methods has been followed to analyze collected data. Study…

Calculus is used across many physics topics from introductory to upper-division level college courses. The concepts of differentiation and integration are important tools for solving real world problems. Using calculus or any mathematical tool in physics is much more complex than the straightforward application of the equations and algorithms that…