Presented are some concerns related to the diagnostic/prescriptive approach to teaching mathematics. The author supports the view that teachers need to become aware of reasons for making professional decisions and become reflective practitioners. (RH)

A new program for preservice elementary teachers at the University of Tasmania is discussed, with the mathematics and mathematics education components described. Reactions to the improved program have been very positive. (MNS)

The National Assessment of Educational Progress (NAEP) has completed its second mathematical assessment. This article focuses on the results from the second assessment of 9 year olds and 13 year olds; major results of the content areas are summarized and examples of the data are given to support the conclusions. (Author/MK) Aspect of National…

This paper presents an overview of the Comprehensive School Mathematics Program (CSMP) elementary school mathematics curriculum. The philosophy behind the program, content goals, and teaching strategies are briefly discussed. Then ways in which the program develops facility in mathematics are described in discussions of the language of arrows, in…

Argues that any mathematical construct can acquire multiple referential meanings beyond its specific mathematical meaning as it is assigned several different mappings when applied to different real-world situations. Claims that the teaching of mathematics in schools is a vehicle for an ideology concerning mathematical activity and its outcomes.…

Explores mathematical methods children use to find answers for themselves. Describes some methods used for multiplication and subtraction problems. (YP)

The effect of programed tutoring in mathematics on achievement of kindergarten and first-grade children was investigated. Significant differences favoring the Programed Math Tutorial groups were found in all three field studies. (Author/MH)

Describes the rationale for and the methods used in four case studies of mathematics teaching in California which are discussed in subsequent articles. The case studies were designed to elicit relationships between teachers' knowledge of mathematics and beliefs about the nature of mathematics teaching and learning and their mathematics…

Discusses concerns about the preparation of elementary school mathematics teachers. Describes the efforts of faculty in mathematics and teacher education at Mississippi University for Women to improve the preparation of teachers of school mathematics. Emphasizes the complexities involved in the collegiate mathematics curriculum. (ASK)

The effectiveness of an experimental mathematics teaching program was investigated. Observational measures revealed that teachers implemented the treatment. Analyses of product data showed that students of treatment teachers outperformed those of controls. Thus, teachers and/or teaching methods exerted a significant difference on student progress…

Discussed is the meaning of the word "of" as is found in mathematical expressions that involve fractional numbers. The conceptual rather than numerical distinction is stressed. Teaching techniques regarding difficulties with this concept are suggested. (CW)

A discussion is presented concerning variables associated with children's representation of certain addition and subtraction problems. Problem components are classified as physical, pictorial, sensual, verbal-spoken, verbal-written, symbolic, or internal. Problems are discussed as abstract (symbolic) or nonsymbolic. Three problem components are…

Most mathematics anxiety has its roots in the teaching and teachers of mathematics. Because people generally are not math anxious before going to school, an examination of the previous statement proves to be well founded. This article reviews the literature and discusses different ways that teachers may help to prevent their students from becoming…

Proposes a framework that identifies the components of number sense and the attributes of students who possess it. Discusses various aspects of three areas where number sense plays a key role: number concepts, operations with numbers, and applications of number and operation. (MDH)

This booklet is designed to provide information on the Comprehensive School Mathematics Program (CSMP) elementary school mathematics curriculum. It attempts to capture the excitement of a workshop experience as well as convey a wealth of substantive information. Paralleling the format of a typical workshop, it presents in a descriptive format a…