Examines research relevant to the debate about the relative emphasis that formal proof should play in high school geometry. Discussion includes establishing truth in geometry, research in students' learning of proof, developing the notion of proof, alternatives to axiomatic approaches, computer construction programs, and classroom recommendations.…

Graphical representations of geometrical objects from high school textbooks are categorized according to the implicit conventions underlying their display. The fact that specific illustrations can lead to students' misconceptions about geometric objects is analyzed in relationship to the principle of parallel projection with implications for the…

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…

This issue of the journal contains abstracts and critiques of ten research reports. They address such topics as: (1) characterizing the Van Hiele levels of development in geometry; (2) children's ideas about commutativity in the early elementary arithmetic program; (3) two children's anticipations, beliefs and motivations about mathematics; (4) a…