How do scientists make inferences for something they cannot directly observe? The Black Box approach seems ideal to help students understand how scientists work. Black Boxes are sealed units; their interior is not accessible. The effort to determine their possible content (internal structure) demands successive modifications in hypothesis,…

This report follows up on the book "Leapfrogging Inequality: Remaking Education to Help Young People Thrive," published in 2018 by the Center for Universal Education (CUE) at the Brookings Institution. The book argued the importance of education leapfrogging--creating transformative shifts rather than incremental evolution by harnessing…

Students in vocational schools in Greece are less motivated and have low performance in courses demanding academic skills, like language learning with reading and writing tasks (e.g. essay writing). If they were asked, they would say that they prefer to do things rather than study or get involved in traditional classroom language activities.…

The issue of the area of irregular shapes is absent from the modern mathematical textbooks in elementary education in Greece. However, there exists a collection of books written for educational purposes by famous Greek scholars dating from the eighteenth century, which propose certain techniques concerning the estimation of the area of such…

Given the link between social skills, problem solving and resilience, it could be a helpful way forward to link the construct of social resilience to the social and emotional learning (SEL) framework. This article first discusses core ideas of both constructs, and supports the integration of the social resiliency framework into a broader…

Emphasis on problem solving and mathematical modeling has gained considerable attention in the last few years. Connecting mathematics to other subjects and to the real world outside the classroom has received increased attention in mathematics programs. This article describes an application of simple differential equations in the field of…

In this paper, we describe the skeleton of two teaching units, based on a Model for teaching mathematics, Context Orientated Teaching (COT). The first teaching unit concerns the proof of a mathematical proposition, while the second one concerns the solution of an open problem. Both are taught in the 10th grade, under the specific conditions of the…

In this article, we discuss key requirements for collecting behavioural data concerning technology-supported collaborative learning activities. It is argued that the common practice of analysis of computer generated log files of user interactions with software tools is not enough for building a thorough view of the activity. Instead, more…

This article describes the experiences gained from a seminar in the teaching of mathematical reasoning and problem solving designed to prepare in-service high school mathematics teachers to teach genuine mathematical activity in a computer-based environment. Presented with a set of unfamiliar tasks and activities, the participants were encouraged…