The information in "Teaching Mathematics in Seven Countries" will be useful to researchers and designers of educational interventions. For particular interest is that no single method of mathematics instruction was observed in all the high-performing countries. (SLD)

This study, presented at the 1979 meeting of the American Educational Research Association (AERA) in San Francisco, examines the relationship between a student's mathematical problem-solving ability and the nature of the student's recall of information from previously-solved problems. Seventy-seven seventh-grade students completed tasks measuring…

Explored relationships between 137 grade-8 cognitive items used in the 1990 National Assessment of Educational Progress and selected themes from the National Council of Teachers of Mathematics'"Standards." About half the items related to four "Standards" themes, with most of those being related to problem solving and reasoning.…

Suggests that the differences existing between the view of algebra as a mandated course at a specified grade level and the view of algebra as a way of mathematical thinking and reasoning developed gradually over time must be positively integrated to help students develop a genuine capacity for algebraic thinking and reasoning. (AIM)

Presents a problem included on the 1992 National Assessment of Educational Progress in mathematics at grade eight in the content area of algebra and functions. Collects and examines a set of responses to this problem and discusses some examples of strategies that students used to determine the answer to the problem. (ASK)

Discusses the QUASAR Project, which has worked with middle school teachers in disadvantaged communities in order to help increase the relevance of mathematics by making connections between the mathematics taught in school and the lives of students. (16 references) (MKR)

Krutetskii's claim that good problem solvers differ from poor ones both with respect to solution performance and nature of their recall of problem information is supported by this study. The use of recalled information in the solution of related problems is also examined. (MP)

Middle school teachers (n=53) and prospective secondary teachers (n=28) posed problems related to billiards before and after solving a sample problem. Found systematic problem generation and more problems posed before solving a sample problem. Posed problems were not always solvable. (MTE)

Mathematical problems generated by 509 middle school students who were given story-problem descriptions and asked to pose questions that could be answered using the information were examined for solvability, linguistic and mathematical complexity, and relationships within the sets of posed problems. The multiple-step data analysis scheme can be…

As part of the Content Analysis Project, a panel of six experts in mathematics education examined the congruence between the Maryland grade-8 test and the National Assessment of Educational Progress (NAEP) test. Two panelists were very familiar with the Maryland School Performance Assessment Program (MSPAP), two with the NAEP, and the other two…

Issues of educational equity and quality are explored in the context of the Quantitative Understanding: Amplifying Student Achievement and Reasoning (QUASAR) project, a national educational reform project aimed at fostering and studying the development and implementation of enhanced mathematics instructional programs for students attending middle…

Examines critical features of the QUASAR Project, a mathematics instruction program oriented toward helping students develop a meaningful understanding of mathematical ideas through challenging mathematical tasks, and discusses findings regarding the positive impact it has had on students. Challenges and obstacles in implementing the project are…

This paper presents an overview of the design features that were developed for the Content Analysis Project. The purpose of the project was to examine the congruence between a state's test in eighth-grade mathematics and that used by the National Assessment of Educational Progress. The results of this analysis were then to be used to determine…

This paper reports the latest in a series of studies investigating children's performance in solving division story problems involving remainders. One aspect of the work involved examining the way in which "sense-making" is involved in the interpretation of the numerical solution obtained. Subjects were 195 sixth, seventh, and eighth…

Middle school students' (n=200) solutions to division-with-remainder story problems and their attempts to make sense of their answers were analyzed for evidence that supported or refuted hypothesized semantic-processing models. The models helped explain students' failure to solve these problems in school settings. (Contains 17 references.)…