This book is the teacher's manual to a text designed to meet the particular needs of those children who have "accumulated discouragements" in learning mathematics. It is a manual of suggested teaching strategies and additional materials aimed at compensating for past student failures to understand mathematical concepts. This book, S, is…

This volume is the sixth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by kindergarten teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of five groups of activities. The purposes and procedures for…

This volume is the ninth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by first-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of four groups of lessons. The purposes and procedures for…

This volume is the twentieth in a series of 29 coordinated MINNEMAST units in mathematics and science for kindergarten and the primary grades. Intended for use by second-grade teachers, this unit guide provides a summary and overview of the unit, a list of materials needed, and descriptions of three groups of lessons and activities. The purposes…

Described in the final report is a project designed to develop, field-test, and disseminate a dual, compatible system of curriculum and criterion-referenced evaluation based on a sample of 40 trainable mentally retarded students (5-15 years old) in self help, basic language, number, and prevocational skills. Program summary information includes a…

Developed specifically for the ETS-Head Start Longitudinal Study, the ETS Enumeration I and II Test is designed to measure early numerical ability. Enumeration I tests the ability to itemize each member of a set by using a task that requires neither counting nor reciting the names of numerals. The purpose of the task is to assess the child's…

This eighteenth annual listing of mathematics education research contains research summaries, articles, and dissertations listed alphabetically by author within each category. For each reference, the grade or age level is indicated. An index is included at the end to help readers locate studies on specified topics. (PK)

The conception of mathematics anxiety held by a teacher may have a great deal to do with the way in which mathematics is characterized in classroom teaching. The purpose of this study is to determine if fourth-grade students' mathematics anxiety can be decreased by a change in implementing new instructional strategies. The study employed a…

This proceedings includes the following papers: (1) "Structure of Attention in Teaching Mathematics" (John Mason); (2) "Communicating Mathematics or Mathematics Storytelling" (Kathy Heinrich); (3) "Assessing Mathematical Thinking" (Florence Glanfield and Pat Rogers); (4) "From Theory to Observational Data (and…

The proportion of school children and other students in the United States who are required to take examinations other than those set by the teacher for his own classes is exceedingly small. Except in New York State, where a considerable number of children in the elementary and secondary schools are accustomed to taking examinations set by the…

The relationship between mathematics performance and fundamental linguistic variations in the cognitive representation of numbers was assessed, using 24 first graders each from the United States and Japan. Results indicate that the Japanese cognitive representation of number positively affects the understanding of place value. No gender…

Interviews with (n=21) fourth, sixth, and eighth graders, who were asked to construct their own notion of average and representativeness in open-ended problems, identified five basic constructions of average as mode, an algorithmic procedure, what is reasonable, midpoint, and a mathematical point of balance. (16 references) (MKR)

Discusses a method of teaching the multiplication of integers to eighth-grade students that utilizes videotape recordings to represent positive and negative rates. Videotapes of students walking forward and backward in the play and rewind modes illustrate that the product of two negatives is positive. (MDH)

Presents an interview with Dr. Constance Kamii on mathematics education. Based on her beliefs about the constructivist approach to elementary arithmetic, she advocates: reformulating goals and objectives, reconceptualizing the teacher role, de-emphasizing competition, eliminating workbooks, and relying instead on a curriculum made up predominately…

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)