The paper proposes a framework for thinking about digital technologies, including AI, in education. The framework combines Don Ihde's postphenomenology and Seymour Papert's constructionism. The former is rooted in the philosophy of technology, the latter -- in education and technology. The intersections between the two theories have been mentioned…

When the Learning Sciences emerged in 1991, there was an ethos of studying learning in humans and machines in conjunction with one another. This ethos reflected three decades of prior work on the interdisciplinary study of learning; however, in the three decades since the emergence of the Learning Sciences, it seems to have largely disappeared. I…

It is well known that the length and orientation of a shadow cast by a vertical gnomon depends on the time of the day and on the season of the year. But it also depends on the latitude of the site of observation. During the equinoxes, the temporal sequence of the shadows cast by each of the points that form any object follows a straight line from…

Constructivism has constituted a predominant philosophical trend in mathematics education, but its implementation in the classroom has proven to be "far more difficult than the reform community acknowledges". This difficulty may be due in part to administrative cultures that might insist on more procedural types of instruction aimed at testing, in…

The Hill cipher is the simplest example of a "block cipher," which takes a block of plaintext as input, and returns a block of ciphertext as output. Although it is insecure by modern standards, its simplicity means that it is well suited for the teaching of such concepts as encryption modes, and properties of cryptographic hash functions. Although…

This document presents information on open learning environments in Adult Basic Education in The Netherlands. It focuses on the role of teacher, tutorial, progress, and evaluation methods. Several task groups address the four dimensions in a learning environment: accommodation, time, infrastructural, and social psychological. Through independent…

Reviews research concerning problems in children's understanding of place value in multidigit numbers. Discusses four elements essential to programs focusing on place value: counting, partitioning, grouping, and understanding number relationships. Proposes a framework and an educational program for nurturing and assessing children's understanding…

This paper describes a classroom teaching experiment, concerning the concept of probability, with children aged 5 in a kindergarten school. The teaching experiment was based on constructivist and interactionist theories about the learning of school mathematics and lasted one month. The collection of the information was based on the tape-recorded…