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The PISA results with regards to Mathematics and Science for the Greek students have been alarming in multiple consecutive reports. Drawing from this experience, we focus on cultivating the basic geometric understanding of the individual and create a series of constructive and discovery-learning exercises, in order to facilitate the learning process. In this context, we develop an exercise intended for students between ten and twelve years of age. The exercise guides the students to identify geometrical shapes in a background and subsequently to observe and conceptualize basic properties of the triangle (e.g., the sum of the angles of a triangle). The exercise is in digital format and is implemented through educational platforms, thus allowing students to practice in an engaging environment.

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We provide a novel method to estimate in a closed-form solution the option prices of various exotic options, using techniques based on Laplace-Beltrami operator for estimating di¤usion boundary times. We estimate exit times and their expectations, the hitting probabilities, boundary local times until the …rst hitting and other probabilistic quantities and moment generating functions related to local hitting times. Our …ndings maybe of paramount importance for traders, investors, speculators and more broadly speaking for …nancial institutions.

Gender equality remains a strategic objective of the EU educational system. The present paper provides a contemporary view of the gender balance in the Department of Statistics and Insurance Science at the University of Piraeus. Our results indicate that a gender gap is prevalent in this specific department, although this gap is only marginal in terms of the statistics on students. On the other hand, statistics for the academic staff reveal that the department is clearly male dominated, thus stirring the discussion of gender preferences and systemic gender bias. Our findings support the notion that the institutional change currently taking place across departments and academic communities worldwide is yet to come to fruition and considerable effort is needed in order to bridge the gender gap in science, technology, engineering and mathematics (STEM) courses.