Generative Learning and Computer Technology

Children generate vocabulary and syntax to manage concepts and reasoning that are spoken in their environment. These building blocks of language and thinking are not given, per se; they are constructed by the individual, rather automatically, but through active communication as needed to socially interact with others in one's primary cultural environment. The give and take of discussion helps people make sense of new information. This is why communication in the learning environment is important to the construction of knowledge.

Computer technology has enabled us to make progress in language arts instruction. For example, the word processor is the best way to employ technology in teaching composition because it provides students with the ultimate level of control over the construction and manipulation of syntax, grammar, and vocabulary. Yet, modeling and guidance are still needed to help students shape the meaningful phrase and consciously reflect on the structural and stylistic techniques used, so they can be repeated as appropriate in later writing.

Instructional materials are available which can sequence students through stages of the writing process. Together with teacher assistance, the materials prompt students to notice and perhaps be assessed on specific habits of mind for writing. As a powerful tool for enhancing writing, the word processor has become a communication tool that has literally changed the world in less than a generation.

Analogous computer tools and instructional media for helping students learn how to generate, display, edit, and discuss mathematical thinking and products have not been practically accessible for diverse middle school students–until now.

The Logo computer language as a vehicle for learning mathematics is a powerful tool to help students generate their understanding of the relationships between mathematical syntax, logic, and concepts that stem from general intuitions about collections, the point, line segments, symmetry, moving in space, and other math building blocks. Logo is also a potent aid for teaching functions, variation and the use of variables, and mathematical modeling–aspects that cut across all standard mathematical concepts.

The Logo language has been available for some time. It has proven engaging, popular with students, and effective as a learning tool. Now, clear, classroom-proven instructional materials are available that adapt the Logo language to teaching the complete Standards-based middle school mathematics program. This instructional system–The Expert Mathematician–provides a framework for a communication-rich generative mathematics learning community.

Teachers and students alike gain major advantages from  TEM's learning approach.