Developing Concept Construction Based Abstract Algebra Textbook to Improve Students’ Understanding

Developing an Interactive Virtual Environment for Engendering Public Understanding About Nanotechnology: From Concept to Construction

Infusion of nanotechnology applications into modern life is in progress. Nanoscale innovation comes with the ever-pressing need to provide citizens and learners with scientific knowledge for informing perceptions and attitudes surrounding the societal impact of nanotechnology. In rising to the challenge, this paper reports the first developmental phase of a broader research agenda concerned wit...

Reading an algebra textbook

We report on a formalisation experiment where excerpts from an algebra textbook are compared to their translation into formal texts of the Isabelle/Isar prover, and where an attempt is made in the formal text to stick as closely as possible with the structure of the informal counterpart. The purpose of the exercise is to gain understanding on how adequately a modern algebra text can be represen...

Understanding Cryptography - A Textbook for Students and Practitioners

2. The Erdős Distance Problem by Julia Garibaldi, Alex Iosevich, Steven Senger. Review by William Gasarch. The Erdős Distance Problem is the following: given n points in the plane how many distinct distances are there guaranteed to be? We denote this function by h(n). In 1945 Erdős posed this problem and showed h(n) = Ω(n1/2). There has been steady progress on this problem, increasing the lower...

An Attempt to Understand Students' Understanding of Basic Algebra

This paper reports the results obtained with a group of 24 14-year-old students when presented with a set of algebra tasks by the Leeds Modelling System, LMS. These same students were given a comporoble paper-and-pencil test crud detailed interviews some four months later. The latter studies uncovered several kinds of student misunderstandings that LMS had not detected. Some students had profou...

Introduction to Abstract Algebra