数学史融入高中数学教学的策略研究

数学史融入高中数学教学,能激发学生学习兴趣,调动学生学习的积极性和主动性,提高教学效率和教学质量,提升学生数学核心素养。文章结合高中数学教学实际,从注重数学材料阅读、数学史和数学教学相结合、借助数学史创设教学情境等方面,对数学史融入高中数学教学的策略进行研究。     

关于提高高等数学教学质量的探讨

高等数学是一门重要基础理论课。在高等教育教学改革的大背景下,在学时越来越少的情况下,对如何提高高等数学课堂教学质量的关键所在备透课与讲清课作进一步探讨。     

思维导图在小学数学高年级教学中的应用初探

文章对思维导图这一数学工具进行了简要介绍,就其对教学工作的意义和应用两方面进行了分析,将“圆圈图”“树状图”“支架图”“双重气泡图”“桥形图”和“中心发散导图”等方法与小学数学高年级教学相结合,通过具体实例展开论述,为相关教学提供重要的参考意义。     

Causal Connections Between Mathematical Language and Mathematical Knowledge: A Dialogic Reading Intervention

The acquisition of early mathematical knowledge is critical for successful long-term academic development. Mathematical language is one of the strongest predictors of children's early mathematical success. Findings from previous studies have provided correlational evidence supporting the importance of mathematical language to the development of children's mathematics skills, but there is limited causal evidence supporting this link. To address this research gap, 47 Head Start children were randomly assigned to a mathematical language intervention group or a business-as-usual group. Over the course of eight weeks, interventionists implemented a dialogic reading intervention focused on quantitative and spatial mathematical language. At posttest, students in the intervention group significantly outperformed the students in the comparison group not only on a mathematical language assessment, but on a mathematical knowledge assessment as well. These findings indicate that increasing children's exposure to mathematical language can positively affect their general mathematics skills. This study is an important first step in providing causal evidence of the importance of early mathematical language for children's general mathematical knowledge and the potential for mathematical language interventions to increase children's overall mathematics abilities.     

让质疑探究融入高中数学课堂

探究性的课堂教学是当前基础教育课程改革中倡导的新理念,而设疑是提供探究性学习的重要内容,本文从高中数学课堂教学的几个重要方面探讨如何通过设疑提高课堂教学效果。     

Evidence-based decision making or a tunnel vision effect? TIMSS,problem definition and policy change in Israeli mathematics education

ABSTRACT

This study examines the influence of the Trends in International Mathematics and Science Study (TIMSS) 1999 results on mathematics education policy in Israel. Analyzing various documents, the study shows how these results transformed policymakers’ discourse regarding mathematics education. In order to achieve improvement in Israel’s ranking, the middle school mathematics curriculum was aligned with the TIMSS test. Following this change, the scores of Israeli students rose considerably in TIMSS 2011. Parallel results from Programme for International Student Assessment (PISA) and Israeli internal standardized tests, however, do not show comparable improvement in mathematics achievement. High school matriculation data for the same period of time show a decline in the percentage of students who took the most advanced mathematics courses. Furthermore, none of these data sources show any noticeable reduction in social inequality in mathematics achievement. On the basis of theoretical insights from political science, it is argued that international tests influence the way educational problems are framed and defined. Thus, instead of enriching educational decision-making processes, these tests can create a tunnel vision effect that restricts policymakers’ attention to ‘problems’ and ‘solutions’ defined by the tests themselves.     

数学教育的基本矛盾和课程改革

数学教育的基本矛盾是数学教育发展的根据和源泉,对这一矛盾的研究不仅可以进一步完善数学教育理论,更能从实践上把握数学教育的发展,即数学课程改革的方向.数学教育的基本矛盾由“数学方面”与“教育方面”构成,既具有持续性,又具有全面性及表现形式多样性.数学教育的基本矛盾决定课程改革的成败,课程改革的成败又对数学教育的基本矛盾起着缓和或激化的作用.     

中学数学教学中常用的思维方法

数学思想方法对于数学知识、数学基本方法起着观念性的指导作用,是处理数学问题的指导思想和基本策略。在中学数学中常用的数学思想方法主要有:函数与方程的思想、数形结合的思想、化归与转化的思想、分类讨论的思想等。     

传统美德与北京四中的德育

北京四中以植根于传统文化的中华传统美德为德育核心，传统文化、传统美德、四中人的精神是紧密关联、三位一体的。北京四中以传统文化、传统美德为依托，构建了立体多维的德育网络。     

数学教师应具备的数学观念

以对（数学）教室文化的分析研究为基础，阐明了教师应具备的4种数学观念，即动态的，易谬主义数学观，静态的，绝对主义数学观，工具主义的数学观；文化主义的数学观，这4种观念各有其见地，各有所侧重，教师面对不同的教学材料，应选取不同的观念组织教学。