Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

This paper presents both the design and the pilot formative evaluation study of a computer-based problem-solving environment (named LECGO: Learning Environment for programming using C using Geometrical Objects) for the learning of computer programming using C by beginners. In its design, constructivist and social learning theories were taken into…

The paper analyzes three major problems encountered by our team as we endeavored to turn problem solving examples in the domain of programming into highly reusable educational activities, which could be included as first class objects in various educational digital libraries. It also suggests three specific approaches to resolving these problems,…

This paper discusses the use of Computer Supported Cooperative Work (CSCW) techniques for computer-aided learning (CAL); the work was started in the context of project Nestor, a joint effort of German universities about cooperative multimedia authoring/learning environments. There are four major categories of cooperation for CAL: author/author,…

No longer just a user of commercial software, the 21st century teacher is a designer of interactive software based on theories of learning. This software, a comprehensive study of straightline equations, enhances conceptual understanding, sketching, graphic interpretive and word problem solving skills as well as making connections to real-life and…

New WWW technologies allow for integrating distance education power of WWW with interactivity and intelligence. Integrating on-line presentation of learning materials with the interactivity of problem solving environments and the intelligence of intelligent tutoring systems results in a new quality of learning materials that we call I3-textbooks.…

Describes a study which measured how ninth-grade students integrated information about mathematical concepts when working with Triple Representation Model software. Tables, graphs, and algebraic functions were linked, allowing students to manipulate several representations of the same concept. Examples of mathematical problems and student case…