This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

Arguing for a mathematics curriculum based on pure mathematics, the author suggests that applications be used for motivational purposes. (SD)

Discusses the differences between applied and pure mathematics and provides extensive history of mixed mathematics. Argues that applied mathematics should be taught allowing for speculative mathematics, which involves breaking down a given problem into simpler parts until one arrives at first principles. (ASK)

Discusses the meaning of mathematics by looking at its uses in the real world. Offers mathematical modeling as a way to represent mathematical applications in real or potential situations. Presents levels of applicability, modus operandi, relationship to "pure mathematics," and consequences for education for mathematical modeling. (MDH)

This study examined the role and development of applied problem solving in mathematics education in the Finnish comprehensive school. The development during the 1980s of applied problem solving in schools was positive in many ways: the changes were cautious and took place more slowly than had been planned; and many obstacles related to the…

This document provides annotated bibliographies of 205 books, 61 children's books, and 87 films all of which are science related. Each annotation includes author, publisher, title, number of pages, cost, an appraisal from highly recommended to not recommended, and level of difficulty from preschool to professional. Entries are grouped by topics…

Arguments for and against the use of computers in mathematics classes have centered on whether students benefit from or are merely hindered by practicing computational skills. This paper claims that the true essence of mathematics lies not in computation, basically a mechanical operation, but in problem-solving. Since no amount of computational…

Discusses the impact that the relationship between people and mathematics could have on the development of pure and applied mathematics. Argues for (1) a growing interest in philosophy, history and sociology of science; (2) new models in educational and psychological research; and (3) a growing awareness of the human factor in technology,…

Drawing on items reviewed in 1 of 18 selected Canadian and American booklists or guides to reference literature, this publication cites selections for core reference in Manitoba school libraries. Reference works were chosen on the basis of available reviews, the acknowledged diversity in Manitoba's school libraries, and student needs. Included are…

Examines mathematics as a pure and applied discipline and suggests it should be taught in an applied context. Reviews the development and philosophy of the "mathematics for all" movement. Concludes that continuing research in this area is necessary for progress of the movement. (BSR)

This document describes the contributions of African peoples to the science of mathematics. The development of a number system is seen as related to need. Names of numbers, time reckoning, gesture counting, and counting materials are examined. Mystical beliefs about numbers and special meanings in pattern are presented. Reproductions of patterns,…

This book explores current theory, research, practice, and policy in the assessment of higher order thinking in mathematics, focusing on the elementary and secondary grades. Current knowledge and research on mathematics learning and testing is synthesized. Examples of innovative test items for classroom use and state assessment programs are…

Argues that a curriculum based on mathematics such as it arises in solving everyday problems is unrealistic; the problem of transfer cannot be resolved by claiming that it should not exist in the first place. (49 references) (MKR)

Mathematicians must be constructively involved at the interface of mathematics and education at all levels. This statement holds true regardless of the modifier attached to "mathematics" or "mathematician": applied, statistical, pure, educator, researcher, academic, industrial, administrator, or any other. The purpose of this article is to discuss…

This report, the first of several to be published on the results of the 1972-73 assessment of mathematics, begins with a brief general discussion of the project. The findings with respect to pure computation and computation with translation are then presented in some detail. Data collected from subjects at four age levels (9, 13, 17, and adult)…