This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

The ability to solve mathematical problems has been an interesting research topic for several decades. Intuition is considered a part of higher-level thinking that can help improve mathematical problem-solving abilities. Although many studies have been conducted on mathematical problem-solving, research on intuition as a bridge in mathematical…

Mathematical modeling is a challenging and creative process. If one considers only interim or final solutions to modeling problems or interviews modelers afterward, often only their "explicit" models are accessible -- those expressed in work products or evinced in verbal and written reflections. The inner world of tacit knowledge and its…

Student cognition in response to intuitive and counterintuitive stimuli in the school science curriculum is not well understood. To address this issue, this study examines high school students' cognitive responses to three counterintuitive physics problems. Our analysis reveals that student success in arriving at counter-intuitive physical…

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for…

Learning physics often requires overcoming common misconceptions based on naïve interpretations of observations in the everyday world. One proposed way to help learners build appropriate physics intuitions is to expose them to computer simulations in which motion is based on Newtonian principles. In addition, playing video games that require…

In this article we examine intuitions as they emerge in groupwork activities. We provide a framework and a methodology to code various aspects of the activity, social and mathematical. Focusing mostly on students' gazes, we explore how affective moves give rise to, and determine, students' interactions and thoughts. We argue that intuition does…

Many students encounter difficulties in science and mathematics. Earlier research suggested that although intuitions are often needed to gain new ideas and concepts and to solve problems in science and mathematics, some of students' difficulties could stem from the interference of intuitive reasoning. The literature suggests that overcoming…

Purpose: The literature advocates educational decision-making processes that are either intuitive or systematic. While the two approaches seem to be incompatible, each has its merits. Intuitive thinking is considered to be holistic and creative, whereas the systematic approach has the advantages of a theoretical foundation and accuracy in data…

This study investigated how tacit knowledge was used by expert and novice principals during problem-solving situations. Through the use of a phenomenological, qualitative approach, novice principals were compared with expert principals as both went about their daily tasks of school leadership. Results of the study contribute to the research on…

It has been observed that students react in similar ways to mathematics and science tasks that differ with regard either to their content area and/or to the type of reasoning required, but share some common, external features. Based on these observations, the Intuitive Rules Theory was proposed. In this present study the framework of this theory…