The curriculum resources used for teaching secondary mathematics vary considerably from school to school. Some schools base their teaching largely on a single published scheme, while others design their own schemes of learning, curating their resources from a range of (often free) online sources. Both approaches seem problematic from the…

Recent "reform" curricula both ignore the absence of supporting data and completely misunderstand the role of problem solving in cognition. If, the argument goes, teachers are not really teaching people mathematics but rather are teaching them some form of general problem solving, then mathematical content can be reduced in importance. According…

Problems in mathematics education as a social activity are the major focus of this document. Paragraphs that describe major problems in mathematics education point out at least eleven major issues as seen from the author's perspective. (MP)

The Childcare Act 2006 provides the underpinning legislation for a single quality framework for supporting children's learning development and care from birth to five. This is encompassed in the early years foundation stage (EYFS). EYFS has been designed to deliver improved outcomes for all children, by providing a flexible, play-based framework,…

Discusses four major issues related to the mathematics curriculum and what research says about each of them, namely questions of content, tracking, problem-based curricula, and the role of proof. (23 references) (MKR)

This paper examines to show how an investigative approach to mathematics teaching can honor its two important dimensions--a thinking and reasoning side to go with the skill development. The paper addresses the question of why a problem solving approach has failed, makes the case for investigations as an overarching organizer, and discusses the…

School mathematics curriculum worldwide has failed to bridge the gap between school mathematics and out-of-school problem-solving activities. Presented is the need for a mathematics curriculum unifying the civil, academic, bureaucratic, and school social domains to prepare students as functional citizens. (MDH)

Presents the text of a message sent to Susan Gerofsky by Robert Thomas after reading her article on a linguistic and narrative view of word problems in mathematics education. Gerofsky's response is also included. (DDR)

The author criticizes an exploratory study of mathematics curricula for 6-13 year olds for its neglect of the needs of students with learning difficulties. He cites the importance of better assessment strategies, use of the problem-solving approach, development of an intersubject emphasis, and encouragement of estimating abilities. (CL)

This document examines specifically relevant issues and offers useful guidance in making decisions for elementary and secondary school mathematics education in the 1980's. The expertise of 19 authors is reflected in 14 chapters that provide an overview of mathematics today and recommendations for the future. The individual chapters are titled: (1)…

The use of calculators and computers in the schools is promoted. It is stated that calculators should be used in the mathematics classroom as soon as basic operations are understood. A point is made that calculators are no greater a threat to "learning the fundamentals" than slide rules, which have been available for over 350 years. It is…

Topics which should be emphasized in the secondary school mathematics curriculum are noted. The importance of problem solving is stressed, with some specific illustrations. (MNS)

Introduces the constructivist theory of mathematical learning, and illustrates its application in a curriculum focusing on fundamental concepts. How knowledge is constructed, how concepts mature, and what it means to learn and to know mathematics are presented. Pedagogical implications of adopting a constructivist perspective on knowledge and…

The California Mathematics Standards are cynical, mind-numbing, and shallow. Instead of balancing problem solving, concept development, and skill acquisition, the standards are full of obsolete mathematics and devoid of problem solving. Students offering only an algorithm when asked for meaning have style without substance. Blind memorization is…

The author and many illustrious co-signers sent an open letter to the U.S. Department of Education protesting a report designating 10 "exemplary" or "promising" math programs. The programs over-emphasize data analysis and statistics, de-emphasize arithmetic and algebra, and advocate early calculator use, which can undermine…