应用数学及其交叉专业方向建设

针对现有数学学科专业体系存在内涵不够清晰,课程体系较混乱,且将应用数学割裂的问题,提出在现有专业体系框架下,建设新的应用数学及其交叉专业方向,目的是打破现有专业体系将应用数学割裂的局限,培养具有扎实的数学基础知识、较强的数学建模能力、科学计算能力及统计分析能力的新型应用数学及交叉专业人才,以适应现代应用数学发展的大趋势.     

Calculators in Elementary School Mathematics Instruction

Due to the increased availability of hand-held calculators, teachers at all grade levels must now face the prospect of having to change both how they teach mathematics as well as what mathematics they teach. Since most teachers did not learn mathematics with the help of technology, they need time to adjust to both a new learning environment and a new teaching one. Through federal funds, the Texas Education Agency has created mathematics staff development modules which help teachers learn about calculators, mathematics, and the integration of calculators in mathematics instruction. This article presents games based upon those included in the staff development modules. Each game was designed to promote exploration of mathematical relationships via a calculator, specifically, Texas Instrument's Math Explorer.     

Data Collection and Elementary School Mathematics

The curriculum standards of the National Council of Teachers of Mathematics advocate the inclusion of data collection activities throughout the middle school. This paper presents activities that implement these recommendations. Activities include data collection in the home, school and community and encourage students to summarize, interpret, and draw inferences from the data they collect individually and in cooperative groups. Four types of data collection activities are presented - observations, surveys, experiments and sampling. Every activity requires minimal planning/preparation by the teacher yet involves students in a variety of roles. Further, each activity can be adapted to different classroom settings.     

Scientific Methodology and Elementary School Mathematics

Investigations provide an exciting and relevant background for the study of mathematics. In this article children's conceptions of the laws of motion, introduced by Eckstein and Shemesh (1993), are extended with an emphasis placed upon the benefits to mathematics education. The focus is on the principle that the faster an object is moving when it is dropped, the greater the distance it will travel away from the drop point. The problems faced by a class of elementary school children who focus upon this experiment are described, and the impact of these problems upon the decisions made by the class are discussed. The use of mathematics in support of this experiment, particularly concepts of probability and statistics, are discussed, as well as suggestions for alternative methods of evaluating children's performance.     

Teaching Mathematics and Science in Urban Elementary Schools

Elementary teachers from a large urban school district with a 74 percent minority student population were surveyed to assess their capacity to provide quality mathematics and science instruction. Forty-nine percent of the surveys distributed to a random sample of teachers were returned. Both strengths and barriers to capacity building were identified. Strengths included use of collaborative student work, manipulatives, informal learning environments, and alternative assessment practices; availability of calculators and computers; and high expectations for student learning. Barriers included lack of professional development, infrequent science instruction, limited calculator use, lack of planning time, inadequate resources, and the perception that science was not valued as highly as mathematics.     

浅谈数学中的合情推理

合情推理是数学发现的重要方法,本文介绍了合情推理的概念、作用、途径.所论及的内容对数学教学有参考价值.     

Mathematics Anxiety and Preservice Elementary Teachers' Confidence to Teach Mathematics and Science

Sixty‐five preservice elementary teachers' math anxiety levels and confidence levels to teach elementary mathematics and science were measured. The confidence scores of subjects in different math anxiety groups were compared and the relationships between their math anxiety levels and confidence levels to teach mathematics and science were investigated. The results suggest that low math anxious preservice teachers are more confident to teach elementary mathematics and science than are their peers having higher levels of math anxiety. Negative correlations were found between preservice teachers' math anxiety and their confidence scores to teach elementary mathematics (r = ?.638) and between preservice teachers' math anxiety and their confidence scores to teach elementary science (r = ‐.417). Also, personal math and science teaching self‐efficacy scores of participants were found to be correlated at .01 level (r =.549).     

Mathematics as Connection Making in Japanese Elementary Schools

Connection making is one of the major standards proposed by the National Council of Teachers of Mathematics, however, unlike problem solving, it has no long history of being designated as a goal of mathematics teaching. An examination of classroom observations of mathematics lessons taught in Japan reveal that connection making appears to be an implicit if not explicit standard for Japanese mathematics education. As a perspective from which to re-examine and re-assess our own practice, this paper describes several episodes of connection making as they occurred in Japanese elementary school classrooms. By reflecting upon the methods used in these classrooms, other approaches to connection making are suggested and explored.