This monograph focuses on the influence of meaning theory on elementary school mathematics programs and on mathematics instruction. Theories of arithmetic instruction up through 1935 are described, and the philosophy of meaning theory, contributions and discussions by mathematics educators, and applications to actual instruction are delineated for…

This volume contains a series of papers on algorithmic learning. Included are six reviews of research pertaining to various aspects of algorithmic learning, six reports of pilot experiments in this area, a theoretical discussion of "The Conditions for Algorithmic Imagination," and an annotated bibliography. All the papers assume a common…

A review is presented of the role of algorithms in learning and instruction. The paper first describes an algorithm as a procedure guaranteed to produce a correct result and lists its features as: 1) having a reasonably finite number of unambiguously defined operations; 2) having zero or more inputs from a specified domain; 3) having outputs with…