This research assessed the academic impact of a computer-assisted instructional (CAI) software program to teach mathematics. The research hypothesis states that the use of the CAI program will produce superior academic achievement in mathematics for students who use the program compared to students instructed in mathematics without the program.…

This book, the 10th volume in the Journal for Research in Mathematics Education (JRME) Monograph Series, discusses the geometry curriculum and investigates how elementary school students learn geometric concepts and how Logo programming and its turtle graphics might affect this learning. This volume also provides details on the development,…

This article is an attempt to convince the reader that transformational geometry (motion geometry) can be dealt with in a significant manner for students in the junior high school. (Author)

This article describes the content of an experimental curriculum for the highly capable mathematics student in junior and senior high school. (JP)

Mathematics exercises involving the number of electoral votes, the apportionment of representatives, and population data are described in detail, with solutions given. (DT)

Interprets Salinas' use of geometric figures for depicting concepts of time and infinity, and for portraying idealism and realism (the vertical line is idealism, perfection; the circle stands for reality and imperfection). (DS)

The author lists and discusses each of six stages of mathematical learning. The stages are: (1) interaction, (2) rule construction and manipulation, (3) isomorphisms, (4) representations, (5) symbolization, and (6) formalization. Examples from geometry are used to demonstrate the learning processes. (JG)

The predicted and actual achievement in college calculus is compared for students who had studied two semesters of calculus in high school. The regression equation used for prediction was calculated from the performance data of similar students who had not had high school calculus. (CT)