数学实验教学探索

数学实验教学是数学教学方式的探索.数学实验教学培养学生动手能力、创新能力,是现行教学方式的补充.     

Teacher support,instructional practices,student motivation,and mathematics achievement in high school

The authors examined the relationships among teacher classroom practices, student motivation, and mathematics achievement in high school. The data for this study was drawn from the base-year data of High School Longitudinal Study of 2009. Structural equation modeling method was used to estimate the relationships among variables. The results indicate that conceptual teaching positively affected student mathematics achievement, whereas procedural emphasis in mathematics instruction had a negative effect. Teacher support influenced student mathematics achievement indirectly through students' mathematics self-efficacy, and also influenced students' interest in mathematics courses. Finally, students with higher levels of family socioeconomic status and prior achievement were more likely to have teachers who use conceptual teaching strategies. Students with higher prior achievement were also more likely to perceive higher levels of teacher support. The findings have theoretical and practical implications.     

Is It a Challenge or a Threat? A Dual-Process Model of Teachers' Cognition and Appraisal Processes During Conceptual Change

What accounts for well-meaning teachers' lack of implementation of subject-matter reforms, such as making one's classroom centered on problem solving, even when they positively value the reform and believe they are implementing it in their classrooms? Teachers' subject-matter beliefs may constrain them from adopting practices that conflict with those beliefs. The purpose of this article is to propose a theoretical model, the Cognitive–Affective Model of Conceptual Change, that integrates key findings from overly cognitive models of belief change with motivational and affective factors found in social psychology theory and research. This model explains why teachers' beliefs about instruction are resistant to reforms that challenge their existing beliefs, and it provides a conceptual framework within which to devise a better means of advancing teachers' beliefs and supporting them in the process of implementation.     

中学数学教学目标技能化的透视与对策

历史与现实造成了数学教学存在只顾书本知识、运算技能和推理技能方面目标而忽视其它方面目标的技能化倾向，这种倾向极大地限制了学生思维等各种能力的发展。为此，我们需要完善教学评估机制，增大教学的研究性成分，调整教学的着重点。     

Teacher education through the history of mathematics

In this paper I consider the problem of designing strategies for teacher education programs that may promote an aware style of teaching. Among the various elements to be considered I focus on the need to address prospective teachers’ belief that they must reproduce the style of mathematics teaching seen in their school days. Towards this aim, I argue that the prospective teachers need a context allowing them to look at the topics they will teach in a different manner. This context may be provided by the history of mathematics. In this paper I shall discuss how history affected the construction of teaching sequences on algebra during the activities of the ‘laboratory of mathematics education’ carried out in a 2 year education program for prospective teachers. The conditions of the experiment, notably the fact that our prospective teachers had not had specific preparation in the history of mathematics, allow us to outline opportunities and caveats of the use of history in teacher education.     

Teachers' concerns regarding the adoption of a new mathematics curriculum: An application of CBAM

The main purpose of the present study was to identify and examine the concerns of primary school teachers in Cyprus in relation to the recent implementation of a new mathematics curriculum and the use of new mathematics textbooks. An adaptation of the Stages of Concern Questionnaire (SoCQ) based on the Concerns-Based Adoption Model (CBAM) was administered to a representative sample of teachers. According to the findings, the concerns of teachers largely focused on the task stage of the CBAM model. Furthermore, there were significant differences in the concerns of teachers across years of teaching experience but not across years of implementation. This revised version was published online in July 2006 with corrections to the Cover Date.     

关于中学数学概念学习能力的调查与对策

通过调查,分析了中学生概念学习能力的现状,提出了对数学概念教学的思考与教学策略.     

《数学分析》教学中的数学阅读示范

数学阅读示范为学生阅读数学书树立了榜样，改变了学生对数学阅读的看法，改变了学生阅读数学书的习惯，提高学生阅读数学书的自觉性。     

Teaching Kindergarten Children to Solve Word Problems

A kindergarten teacher's practice was investigated in order to understand her knowledge of her children's mathematical thinking, the ways in which she acquired that knowledge, and the uses she made of that knowledge in making instructional decisions. The focus of the investigation was the teacher's knowledge of her children's thinking about numbers, including counting and addition, subtraction, multiplication, and division. The teacher had attended Cognitively Guided Instruction workshops at which she had the opportunity to learn about research on children's mathematical thinking. She gathered information on her own children's thinking by posing word problems, listening to children as the described their strategies for solving the problems, and talking to other adults about her children. She used that information to select problems to pose in subsequent lessons.     

"问题解决"教学在数学教学中的实践

“问题解决”教学是实施素质教育,进行数学教育改革的一种有效教学模式。在数学课堂教学中如果能根据教学目标,设计并提出系列具有趣味和魅力的问题和任务,向学生提出智力挑战,引起学生的思考,将激发学生参与整个教学过程,最终达到学生主动发现、积极探索,深层次理解并掌握和应用隐含于问题背后的知识,提高解决问题的能力。