Findings from prior research are drawn together to create a learning model for elementary school mathematics in the cognitive-constructivist tradition. A potential teaching/learning process consistent with the model was developed and applied in a longitudinal collaborative arrangement between university personnel and a local elementary school…

Traditional elementary statistics instruction for non-majors has focused on computation. Rarely have students had an opportunity to interact with real data sets or to use questioning to drive data analysis, common activities among professional statisticians. Inclusion of data gathering and analysis into whole class and small group activities…

A conceptual framework is provided for generating assessment tasks that provide an instructor with a richer description of student reasoning/thinking than is possible by simply giving students problems to solve. The application of this framework is illustrated with material from introductory statistics courses which focus on: (1) sampling; (2)…

This paper compares and contrasts cases of three beginning teachers, graduates of a teacher education program that included an intervention component designed to change prospective elementary teachers' knowledge and beliefs about mathematics education. The goal of the intervention (a sequence of three mathematics courses, a methods course, and a…

The processes by which conceptual knowledge is constructed during mathematical problem solving were studied, focusing on the cognitive activity of learners (i.e., the ways they elaborate, reorganize, and reconceptualize their solution activity). Underlying this research is the view that learners' mathematical conceptions evolve from their activity…

This monograph is the first in a series of three dealing with the curriculum and evaluation standards for grades K-4 as promulgated by the National Council of Teachers of Mathematics (NCTM). The publication of the standards marks a new guidepost in the evolution of mathematics education and signals the impact of the information society upon all…

This monograph is the second in a series of three dealing with the curriculum and evaluation standards for grades K-4 as promulgated by the National Council of Teachers of Mathematics (NCTM). The publication of the standards marks a new guidepost in the evolution of mathematics education and signals the impact of the information society upon all…

This monograph is the third in a series of three dealing with the curriculum and evaluation standards for grades K-4 as promulgated by the National Council of Teachers of Mathematics (NCTM). The publication of the standards marks a new guidepost in the evolution of mathematics education and signals the impact of the information society upon all…

This study investigated: (1) the relationship between the development of information processing capacity and certain Piagetian logical reasoning abilities; and (2) how the development of these cognitive abilities related to acquisition of certain measurement concepts. Forty first-grade children were individually administered tests of conservation…

This report provides an overview of eight experiments on covariation judgment training. Included are a literature review, rationale, and description of the rule-analytic approach used in all experiments. Experiment 1 identified undergraduates' understandings of rule use, finding self-report a poor method for diagnosing sources of error. Experiment…

The processes and strategies used by Finnish second graders in solving verbal multiplication and division tasks were investigated, and the relationship of these processes and strategies to Piagetian abilities, memory capacity skills, and rational number concepts was charted. Three categories of strategies were classified: operations based on…

This book is designed for those interested in the teaching of mathematics, in both first language and second language contexts, and is based on 15 years' teaching experience in Africa and Asia. The book is designed to present the main issues of language in mathematics teaching, and is therefore not a highly technical work. Chapters included are:…

This teacher resource manual has been developed to assist classroom teachers in implementing the Integrated Occupational Mathematics program for grades 8 and 9. The first chapter of this manual gives an introduction including resources and scope/sequence. The next two chapters describe the overviews and instructional strategies of the grade 8 and…

This report attempts to discover how students think about and use mathematics in open-ended questions. Part I, "Open-ended Questions in Mathematics," describes the rationale for adding open-ended questions to the grade 12 mathematics test of the California Assessment Program (CAP). Part II describes the findings from students' responses…

Computer Algebra Systems (CAS) are computer systems for the exact solution of problems in symbolic form. The newspaper is designed to serve as a conduit for information and ideas on the use of CAS in education, especially in lower division college and university courses. Articles included are about CAS programs in several colleges, experiences…