Through a case study of a series of Galton Board activities, we try to offer some reflections about the possibility of integrating in the teaching model different tools, starting from completely physical activities and arriving through gradual steps of abstraction to the “virtualization” of the tools and to the corresponding abstraction of underlying mathematical concepts.

The marriage of art and mathematics has been widespread and productive, but almost nowhere more productive than in the world of origami. In this paper I will discuss how mathematical ideas led to the development of powerful tools for origami design and will present a step-by-step illustration of the design and realization of a representational origami figure using mathematical design algorithms...

Computer technology in mathematics education enabled the students find many opportunities for investigating mathematical relationships, hypothesizing, and making generalizations. These opportunities were provided to pre-service teachers through a faculty course. At the end of the course, the teachers were assigned project tasks involving investigation and discovery activities. This paper presen...

Increasingly, companies are taking part in process improvement programmes, which brings about a growing need for employees to interpret and act on data representations. We have carried out case studies in a range of companies to identify the existence and need of what we call Techno-mathematical Literacies (TmL): functional mathematical knowledge mediated by tools and grounded in the context of...

The architectural level plays a major role in the engineering of computer based systems. Having proper means for representing the architecture of a system is a crucial element of large system development efforts as it reduces the amount of uncertainty among the involved stakeholders. This paper presents a systematic approach called FMC (Fundamental Modeling Concepts) to describe the conceptual ...

Software-intensive information systems have a major impact on our lives, both privately and professionally. Development of these systems is a complex activity that requires the involvement of people with di®erent competences and skills. Even though software-intensive systems have been developed since the 1960s, the success rate is still low. A major hindrance to successful system development pr...

Mathematical constructions and concepts can be utilized in a number of methods to investigate the process of generating architectural forms. One is to technically layout architectural elements along such constructions, another is to explicitly develop forms corresponding exactly to the underlying concept, and another is to use such concepts as inspiration, a starting point for design. A hybrid ...

Simple random walk and Brownian motion are two strongly interconnected mathematical concepts. They are widely involved in not only pure math, but also in many other scientific fields. In this paper I will first introduce and define some basic concepts of discrete-time random walk. Then I will construct Brownian Motion with some basic properties, and use a method called the strong approximation ...

As a domain of application and reference for the proposed approach, we focused on Constructionism, a theory that studies the use of technology in the creation of educational environments. The most well known pragmatic result of Constructionism is the Logo programming language which, for the past 20 years, has been used by millions of students as a fertile soil for the development of critical re...

This study seeks to explain how stakeholders’ dynamics influence Information and Communication Technology (ICT) strategic projects implementation in Saudi Arabian public hospitals. Stakeholder theory, mainly the identification framework of Mitchell, Agle, and Wood, is used to identify stakeholders’ saliency throughout the project events. However, stakeholder theory is static and do not help in ...