The use of handheld CAS technology in undergraduate mathematics courses in Australia is paradoxically shrinking under sustained disapproval or disdain from the professional mathematics community. Mathematics education specialists argue with their mathematics colleagues over a range of issues in course development and this use of CAS or even…

The vision for science education set forth in "A Framework for K-12 Science Education" (NRC 2012) makes it clear that for today's students to become the scientifically literate citizens of tomorrow their educational experiences must help them become mathematically proficient. "The focus here is on important practices, such as modeling, developing…

The vision for science education set forth in "A Framework for K-12 Science Education" (NRC 2012) makes it clear that for today's students to become the scientifically literate citizens of tomorrow, their educational experiences must help them become mathematically proficient. "The focus here is on important practices, such as modeling, developing…

A model for population growth is described. (SD)

Aspects of the source of power of mathematics and the ways in which mathematics works are discussed. The author discusses various philosophies about mathematics, presents several unusual "real world" problems, and reviews the social consequences of the "imposition of mathematics" on humanity. (MP)

Achievements, limitations, and difficulties of social science simulation efforts are discussed with particular reference to three examples. The pedagogical use of complementary developmental, philosophical, mathematical, and scientific approaches is advocated to minimize potential abuses of social simulation research. (LS)

Objectives of teaching mathematics to engineering and science students are defined, and the role of the computer, especially the interactive terminal, in achieving these objectives is discussed. (SD)

The author argues that teaching students to program a computer enhances their logical reasoning, problem solving skills, understanding of models, and ability to examine one's work critically. (SD)

Several models for problem solving are discussed, and the idea of a heuristic frame is developed. This concept provides a description of the evolution of problem-solving skills in terms of the growth of the number of algorithms available and increased sophistication in their use. The heuristic frame model is applied to two sets of physical…

This Study Guide on Contemporary Problems, Number 8, is one of a series prepared by the American Association for the Advancement of Science representing part of the 1974-75 National Science Foundation Chautauqua-Type Short Courses for College Teachers Program. This is a test edition and contains evaluation forms to be completed by the users and to…