International calls have been made for reasoning-and-proving to permeate school mathematics. It is important that efforts to heed this call are grounded in an understanding of the opportunities to reason-and-prove that already exist, especially in secondary-level geometry where reasoning-and-proving opportunities are prevalent but not thoroughly…

Reviews research describing computer functions of construction-oriented computer environments and evaluates their contributions to students' learning of geometry. Topics discussed include constructing geometric concepts; the use of LOGO in elementary school mathematics; software that focuses on geometric construction; and implications for the…

It is customary for engineering syllabuses to include a substantial amount of mathematics, a fact traditionally justified through their usefulness in the analysis and resolution of many technological problems. In other words, usually the role of mathematics in engineering is emphasized. Nevertheless, the opposite viewpoint could be considered as…

This literature review examines the contribution of the LOGO programming language toward facilitating elementary school students' learning and in promoting problem-solving skills. Topics addressed include positive and negative effects of LOGO use; LOGO theory and development; transfer of LOGO skills; and support for structured, teacher-mediated…

This report provides perspectives from the literature and from consultation with LOGO experts for viewing, evaluating, formalizing, and improving use of the LOGO programming language in education. Contents of the report include: a discussion of the instructional structure of LOGO which centers around its turtle mode, list processing nature, and…