Using arrays of dots and grids many numerical concepts can be illustrated for students. (SD)

One of the most important provisions of Act 750 of the 1979 Louisiana Legislature is the mandated development and establishment of statewide curriculum standards for required subjects for the public elementary and secondary schools. The 1986 revision of the Louisiana standards for mathematics recognizes the need to move from minimum to…

Research on computational estimation and mental computation has received a considerable amount of attention from mathematics educators during the past decade. These proceedings resulted from a meeting to explore dimensions of number sense and its related fields. The participants came from three groups: mathematics educators actively pursuing…

Students come to the classroom with theories that they have actively constructed from their everyday experiences. However, some of these theories are incomplete half-truths. Although such misconceptions interfere with new learning, students are often emotionally and intellectually attached to them. Some common mathematical misconceptions involve:…

This activity book stresses the integration of measurement with all phases of mathematics and other school curricula. It emphasizes: activities that teach basic measurement skills; techniques for understanding small and large numbers; learning devices that improve measurement understanding; strengthening measurement vocabulary through…

This material is a supplement to existing mathematics programs for young learners. The activities presented are based on assumptions about the young problem solver which are difficult to address in standard mathematics texts. In these pages it is assumed that each learner brings to the problem-solving effort a very personal experience base and a…

This paper discusses the development of the mathematical experiences which make up the three-term sequence of mathematics courses taken by participants in the Elementary Mathematics Project (EMP), a longitudinal study of change in preservice teachers' perceptions and beliefs about mathematics. For the mathematics courses, both content and teaching…

Difficulty in comprehending mathematical concepts is a consequence of the system of knowledge acquisition prevailing in schools, and more specifically, of the typical pattern of classroom interaction. In the common task-setting/task-solving pattern, the teacher divides the subject matter into segments. Students are involved interactively in…

This resarch identified K-6 children's (N=1202) and teachers' (N=54) perceptions of what constitutes doing or using mathematics. Perceptions were documented by a questionnaire which included items reflecting the six major strands of the K-6 syllabi and explicit and implicit use of numbers and operations as both facilitating and distracting…

This document is a collection of activities designed to use children's literature to introduce, reinforce or broaden mathematics skills and concepts. The mathematical topics that are addressed include: time; problem solving; logic; measurement; comparison; sets; one-to-one correspondence; fraction concepts; division; counting; averages; infinity;…

The ideas and techniques involved in learning about fractions were investigated with students in grades 1-12, in the first 3 years of colleges, in community college mathematics courses, and in graduate school. Also included were some high school mathematics teachers, some mathematicians, and some retired persons. Part I provides the rationale and…

Through individual interviews with remedial and precalculus university students, five characteristics of the student were identified that influence whether a diagram is used in solving a problem and whether its use is successful. The interviews also suggested a set of subskills that contribute to the overall ability to draw effective diagrams.…

Provided are 121 mathematics activities for children aged 3 to 6. Sections include: (1) "Introduction" (describing how to use the book, how to communication with parents, what materials are needed, and how to begin, and also indicating cross-curriculum areas); (2) "Shapes" (describing 20 activities that provide children with an awareness of…

This book presents activities designed to promote students' understanding of important mathematical ideas as well as to provide learning experiences intended to let students practice and refine their skills. Chapter topics include: (1) understanding and using numbers; (2) computation; (3) problem solving; (4) calculators; (5) fractions and…

Results of the most recent administration of the National Assessment of Educational Progress (NAEP) suggest that the majority of secondary students believe in the independence of random events. In the study reported here, a high percentage of high school and college students answered similar problems correctly. However, about half of the students…