Calculus has become the center of a heated debate within the mathematics community. There are those who question the very centrality of calculus in the mathematics curriculum. Evidence indicates that many current calculus courses are not serving students well. In addition, computers and advanced calculators can now do many of the manipulations…

The role of review in mathematics instruction is briefly summarized in terms of reasons, timing, and types. Promoting retention is the primary reason for reviewing; continuity, assimilation, diagnosis, learning prerequisites, and confidence are also noted. Research clearly indicates that review should be systematically planned and incorporated…

During the past century, one distinctive effort to improve science and mathematics education is an approach that recognizes the commonalities between science and mathematics and seeks to appropriately and effectively integrate these two disciplines in teaching and learning. Philosophically and theoretically, there is strong support for the…

Reports from representatives in 12 countries formed the basis of this review of the role and use of applications in mathematics in elementary and secondary schools. The editor provides an overview, drawing in part upon the various reports and adding additional structure to the scope of applications in the curricula. He describes the intent of the…

Many school staff and their client communities are concerned about pupil achievement, skills, and attitudes related to mathematics. To respond to these concerns, staff need to determine how they can improve their elementary mathematics programs by modifying the content and skills emphasized in the curriculum, changing and supplementing…

Many school staff and their client communities are concerned about pupil achievement, skills, and attitudes related to mathematics. To respond to these concerns, staff need to determine how they can improve their secondary mathematics programs by modifying the content and skills emphasized in the curriculum, changing and supplementing…

Some recent research findings with implications for improving mathematics instruction are reviewed in this report. The focus is on two topics: computation, in particular subtraction and estimation, and problem solving. Findings about each are listed, with references for each cited study included. Effective algorithms and strategies used by…

Mathematics education research from fourteen studies is abstracted and critiqued in this publication. Six cover aspects of instructional practice, four deal with points in learning theory, two with problem solving, and one each with calculators and sex differences. Research in mathematics education as reported in CIJE and RIE from October to…

Twelve research reports related to mathematics education are abstracted and analyzed. Three of the reports deal with aspects of learning theory, two with student characteristics, and one each with calculators, problem solving, secondary mathematics curriculum changes in Australia, sex differences, teaching methods, and tutoring strategies. The…

Looking to the year 2000 and beyond, this digest explores the lack of individuals entering the fields of science, especially underrepresented minority students such as Blacks, Hispanics, and American Indians. Sections include: (1) "Changing Demographics"; (2) "Status of Minorities in Science"; (3) "Barriers to…

This conference proceedings volume for PME-NA-XIX contains a total of 87 reports: one plenary session report; 39 research reports; 20 short oral reports; 25 poster session reports; and two discussion group reports. Only the plenary and research reports are full reports; the others are generally one-page abstracts. The full reports include: (1)…

This document consists of eleven bulletins which present answers to questions about research on the teaching and content of elementary school mathematics, K-8. The bulletins are revisions of a set originally published in 1970 and revised in 1975. Specific research findings on eleven topics are cited with selected references. Titles are: (1)…

Ten research reports related to mathematics education are abstracted and analyzed. Five of the reports deal with aspects of mathematics instructional practices, four with areas of learning theory, and one with student achievement. Research related to mathematics education which was reported in RIE and CIJE between July and September 1980 is…

Current reform in mathematics and science education advocates the integration of science and mathematics teaching and learning as a means of improving achievement and attitudes within both disciplines. This bibliography is a collaborative effort involving the ERIC Clearinghouse for Science, Mathematics, and Environmental Education; the National…

This issue of "Investigations in Mathematics Education" contains: (1) 12 abstracts of research studies in mathematics education; (2) a list (by EJ number) of mathematics education research studies reported in the July-to-December 1984 issues of "Current Index to Journals in Education" (CIJE); and (3) a list (by ED number) of…