In a meta-analysis of 164 studies, Alfieri, Brooks, Aldrich, and Tenenbaum (2010) found that assisted discovery learning was more effective than explicit instruction or unassisted discovery learning and that explicit instruction resulted in more favorable outcomes than unassisted discovery learning. In other words, "unassisted discovery does…

The performance of students from three intelligence levels at grades 4, 5, 6, and 7 on certain discovery tasks in arithmetics are examined. Results indicate that students should be given from 3 to 6 instances to make discoveries of the type tested and that students of lower intelligence levels can form generalizations. (FL)

A schema based view of addition development is compared with Siegler's latest strategy-choice model, which includes an addition goal sketch (a basic understanding of "the goals and causal relations" of addition; Siegler & Crowley, 1994, p. 196). This metacognitive component in the latter model is presumed to develop as a child practices a basic…

Presented are two self-contained worksheets and teacher guides for open-ended experiences in recording and reading data which require the use of basic addition facts. One is for grades 1-3; the other for grades 4-8. (CT)

This document plus diskette product provides nine interactive puzzles and games that both teach and provide practice with simple addition and subtraction concepts. The activities address these skills through carrying in addition and regrouping in subtraction. The activities address cognitive skills such as problem solving, planning, visual pattern…

In his attempt to give an account of language, the linguist is confronted by two interrelated problems: (1) the complexity of linguistic phenomena, and (2) the creativity of language. Although the proposal to study languages in terms of a generative system is not new, the basic technical concepts for carrying out such an undertaking were lacking…

Discussed are possible lessons for teaching prime numbers, composite numbers, factoring, and fractions. (CT)

This student discussion guide is intended to accompany "Discovery in Mathematics," a text for teachers. This guide is a part of the developing curriculum program that helps students to organize their mathematical experiences in the early school years. The materials in this booklet deal mainly with fundamental arithmetic and algebraic…