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 beginning teacher's view of problem solving; (5) the understanding of number concepts by 7-9 year olds; (6) the effects of adjusting readability on the difficulty of mathematics story problems; (7) parent attitudes and student career interests in junior high school; (8) effective teaching, student engagement in classroom activities, and sex-related differences in learning mathematics; (9) strategy training and attributional feedback with learning disabled students; and (10) mathematics achievement of Chinese, Japanese, and American children. Research reports and articles listed in "Resources in Education" (RIE) and "Current Index to Journals in Education" (CIJE) for April-June, 1986, are also listed. (TW)