In this technology-oriented age, teachers face daily decisions regarding the use of advanced digital technologies--graphing calculators, dynamic geometry software, blogs, wikis, podcasts and the like--to enhance student mathematical understanding in their classrooms. In this case study, the authors use the Technological, Pedagogical, and Content…

The primary purpose of this classroom experiment was to examine the effectiveness of concrete (hands-on) manipulatives as compared with virtual (computer-based) manipulatives on student review of fraction concepts in third grade and introduction of symmetry concepts in fourth grade. A pretest-posttest design was employed with a sample of 91…

The successful implementation of an innovation--information technology in this instance--is a process that is developmental in nature, and a highly personal experience for each teacher. Thus, for any change to be successful, the concerns of each individual teacher must be taken into consideration when intervention strategies are developed. Hall,…

Uses a traditional approach with problem solving, a concrete approach with manipulatives, and a visual approach with computer spreadsheets to teach the arithmetic mean to 22 children in grades 4-6 in three multiage groups. Differences among pretest, posttest, and interview performances suggest some advantage to the use of a visual instructional…

Describes one instructor's approach to incorporating simulations and classroom discussions into a differential equations course. Discusses subsequent effects on student learning attitudes and outcomes in conceptualizing and applying ideas regarding solutions to differential equations in this learning environment. Explores issues on…

Describes the guess-and-check method and discusses the advantages of using computers to apply the methods to solve mathematics problems. Provides two examples that use BASIC programs to illustrate the method. (MDH)

Examines how a national model for integrating microcomputers into science teaching was implemented in rural school districts. Reports that the implementation of the model for rural school districts required several adaptations. Discusses the organizational, procedural, community, and personal factors that led to those adaptations and influenced…

Illustrated is the problem of solving equations and some different strategies students might employ when using available technology. Gives illustrations for: exact solutions, approximate solutions, and approximate solutions which are graphically generated. (RT)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Presents a study to develop and partially validate an instrument to measure the self-efficacy beliefs of teachers related to utilizing microcomputers in science instruction. The resulting instrument contained two subscales: the Outcome Expectancy and Personal Self Efficacy Scales. Appendices include the instrument and scoring instructions. (17…

Students' conceptions of three major artificial intelligence concepts used in the modeling of systems in science, fuzzy logic, neural networks, and genetic algorithms were investigated before and after a higher education science course. Students initially explored their prior ideas related to the three concepts through active tasks. Then,…

Reviews less common research conclusions published after 1986 on the use of computers in mathematics education. Presents six conclusions that teachers should accept with caution. Conclusions refer to cooperative learning, sex bias, disadvantaged students, problem-solving skills, and remedial mathematics students. (MDH)

Reports on a study designed to analyze six primary science education journals published in 1985 and compares the results with some baseline data collected in 1970. Results indicated that the amount of material being published per year during that period increased, with additional emphasis on methods of teaching. (TW)

Three computer programs for the Apple II family are reviewed: (1) "Super Vocab Machine"--vocabulary self-tutorial; (2) "Elements, Compounds, and Mixtures: A Matter of Mystery"--database for the elements; and (3) "That's Life: Human Body Exploration"--information about the human body. (MVL)

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)