浅谈高中数学与初中数学的衔接

搞好初中与高中数学的衔接,是高一数学的一项重要内容。首先要处理好初高中教材的衔接点:"集合与函数概念","平面及其性质";其次是以旧导新,以旧带新,新旧对比,注意揭示新旧知识的内在联系,使新知识顺利地同化于原有的知识结构之中;第三是充分利用数形结合(即几何直观);第四是引导与督促。     

人教版小学数学教材中蕴含的数学文化

文章探讨人教版小学数学教材中蕴含的数学文化,主要从数学家的故事、数学发展史、中国古代典籍《九章算术》、数学的广泛应用这四个方面来阐述。     

Epistemic quality for equitable access to quality education in school mathematics

This paper reports on a study that aims to address the challenges of UN Sustainable Development Goal 4 to ensure inclusive and equitable quality education for all. The study focuses on school mathematics in particular. With regard to ensuring equitable access to quality education, it is argued that there is a need to consider the epistemic quality of what students come to know, make sense of and be able to do in school mathematics. Accordingly, the aim is to maximize the chances that all pupils will have epistemic access to school mathematics of high epistemic quality. The study is based on the theoretical framework of Joint Action Theory in Didactics (JATD). Associated research questions focus on the quality of teacher-student(s) joint action and on the epistemic quality of the content. The paper draws on empirical research findings of the Developing Mathematical Thinking in the Primary Classroom (DMTPC) project (2010–12) and also on the findings of a parallel study of mathematics teachers’ assessment practices in Ghana. One teacher’s action research project is used as an exemplar to illustrate how mathematics can become more accessible and inclusive thus leading to an evolution in mathematical thinking and high-quality epistemic access for all.     

The effect of information mapping strategy on mathematics conceptual knowledge of junior high school students

The purpose of this study was to determine the effect of information mapping strategy on mathematics conceptual knowledge of junior high school students in Rokan Hulu Riau, Indonesia. The study also examined the relationship between mathematics conceptual knowledge and mathematics achievement. Using a quasi-experimental method, the study was carried out on 132 students from one junior high school in Rokan Hulu Riau, Indonesia. It was completed in 6 weeks. Instruments used in this study were mathematics conceptual knowledge test and mathematics achievement test. The results of this study indicated that there were significant differences in mathematics conceptual knowledge between the information mapping strategy group and the traditional group. It was concluded that using information mapping strategy may impact students＇ conceptual knowledge. There was a relationships between mathematics conceptual knowledge and mathematics achievement.     

高职入学考试数学复习策略探微

高职入学考试数学复习的策略有：通过分析考纲，使学生更好地把握复习的深度和广度，提高复习效率；通过改进复习方法，培养学生综合应用数学知识的能力，提高学生的数学素养；加强对学生的心理辅导，提高学生的应变能力，培养学生良好的心理品质。     

Problem solving in Swedish mathematics textbooks for upper secondary school

The aim of this study is to analyse how mathematical problem solving is represented in mathematical textbooks for Swedish upper secondary school. The analysis comprises dominating Swedish textbook series, and relates to uncovering (a) the quantity of tasks that are actually mathematical problems, (b) their location in the chapter, (c) their difficulty level, and (d) their context. Based on an analysis of 5,722 tasks from the area of calculus, it is concluded that the textbooks themselves contain very few tasks that can be defined as mathematical problems, and that those that are mathematical problems are found at the end of a chapter at the most difficult level, and are presented in a pure mathematical context. Implications are discussed.     

A multidimensional analysis of changes in mathematics motivation and engagement during high school

Despite concerns about declining interest and enrolments in mathematics, little research has examined change in a broad range of constructs reflecting mathematics motivation and engagement. The current study used an 11-factor model of motivation and engagement to evaluate levels of maths motivation compared to general academic motivation and to assess group-level and individual-level changes in maths motivation during secondary school. In a multicohort-multioccasion design, Australian students completed an adaptation of the Motivation and Engagement Scale in two consecutive school years. Ratings in mathematics were lower than general academic motivation on several scales but particularly on the planning and task management scales and for the year seven cohort. Mean ratings of valuing and task management decreased over the two years, while stability of mathematics motivation was moderate. Girls reported stronger anxiety, uncertain control and failure avoidance than boys, despite also reporting greater mastery focus. The findings demonstrate that a multidimensional model facilitates a differentiated analysis of possible reasons for a waning interest in mathematics.     

离散数学课程改革探讨

在阐述离散数学对计算机教学,实施科教兴国战略重要性的基础上,对离散数学教学制定教学大纲的原则,选择教学内容的依据和课堂教学的方法进行研究和探讨。     

初中数学教学中的德育渗透思考

文章从三个方面入手对初中数学教学中的德育渗透进行阐释,包括:数学之史――知古明今,激励前行;数学之美――科学维度,向善立美;数学之悟――交融相生,涤荡心灵。     

Providing school-based learning in elementary school mathematics: the case of a professional development school partnership

Abstract

School–university partnerships also known as professional development school (PDS) partnerships provide potential for universities and schools to establish partnerships that can benefit university faculty, school teachers, university students, and school students. This study examines the impact of a PDS partnership in which the author served as a school-based mathematics coach for two years in a high-need elementary school. Data sources included interviews, surveys, and field notes from classroom observations. Inductive qualitative analyses which were situated in a multi-level framework for researching professional development found that teachers posed more cognitively demanding mathematical tasks and high-level questions in year two compared to year one of this project. Further, student achievement was noted on both state-wide and district-created assessments. Also teachers reported that the school-based approach to professional development led to some teachers taking on more informal leadership roles to support their colleagues’ mathematics instruction. Implications for school-based learning opportunities across the world include the need to establish specific university–school partnerships, and carefully designing research studies to examine the impact of these learning opportunities.     

中学数学教师专业化建设中几个问题的认识

数学教师专业化已成为世界数学教师教育发展的潮流,中学数学教师专业化包含两个层次:数学学科专业性与教育专业性,中学数学教师专业化需要改革师范教育的培养模式,中学数学教师在职培训是实施中学数学教师专业化的另一种可行方案.     

美育在小学数学教学中的渗透

美育在小学数学教育中有着较为重要的地位,但目前理论与实践结合的研究成果较为薄弱,对小学数学教学实践中的美育现状也少有研究。在此,本文提出了美育在小学数学中如何进行渗透的几点建议,为一线的教育工作者提供一些参考!     

Developing theories of mathematics education research: the ESM story

In this paper we present ananalysis of the articles in EducationalStudies in Mathematics since 1990. It ispart of a larger project looking at theproduction and use of theories of teachingand learning mathematics. We outline thetheoretical framework of our tool ofanalysis and discuss briefly some of themethodological difficulties we face. Wethen present our findings from the analysisof the journal and we also give one exampleof how we `read' an article, illustratingthe rules whereby criteria are applied. This revised version was published online in July 2006 with corrections to the Cover Date.     

高中数学例题解答中导数的典型性应用

导数是高中数学中的一个重要知识,它对于函数的相关研究以及之后微积分的学习都具有重要意义,同时还可以用于解决实际问题。在高中数学导数的教学中,不仅要求学生要能够对导数的概念有深刻的理解,同时还要求学生必须要对其求导法则、规律等进行熟练的掌握,理清函数之间的复杂关系。下面本文主要阐述了导数的定义、概念、意义以及计算,并在此基础上探讨其在例题解答中应用的典型性。     

Effect of pupil factor on mathematics achievement in cambodian urban primary school

It is generally observed in the literature of school effectiveness research that there are two broadly categorized factors influencing pupil achievement. However, the results of the studies based on empirically collected data vary from country to country and from time to time. Premised on this inconsistency of results and gaps in knowledge of this field in Cambodian education, this study was conducted in order to examine the effect of pupil factor on their mathematics achievement. The data were collected from pupils by means of questionnaires and a mathematics test. After controlling such factors as pupils’ poverty during the research design, the results of the step wise regression analysis showed that pupils’ interest in mathematics was a significantly positive contributor to their performance. Pupils’ absence frequency, gender, grade repetition and preschool attendance had significantly negative effects on their mathematics outcome.     

小学数学课堂教学设计与反思

教师在课堂教学前进行合理的教学设计,教学就已经成功了一半,同时,教师教学设计的好坏也直接影响学生的学习效果和学习能力的锻炼,因此课堂教学设计显得尤为重要。教学设计中,教师要努力为学生提供一定的动手素材和思想素材,同时把数学问题生活化,贴近学生生活实际,不仅使学生的思维能力得到训练,而且还可减少学生对数学的畏惧感和枯燥感,以便更好地激发出学生学数学的兴趣。     

探究“自学辅导法”在中职数学教学中的应用

探讨如何在中职数学教学中应用＂自学辅导法＂,以提高中职数学教学的质量和效率.     

初中高效数学课堂探索

随着我国教育体制改革的不断深入发展,初中数学的课堂教学工作也发生了重大改变,传统的教学模式已经逐渐的成为历史。初中数学是对小学数学与高中数学的一个衔接过程,是端正学生的学习态度,培养学生学习兴趣,养成创新思维的关键时期,因此,对如何促使初中数学课堂的高效性的研究工作具有重要的实际应用价值。     

Student primary teachers improving their mathematics subject knowledge: cognition and affect intertwined

This paper describes a study conducted with a random sample of 80 student primary teachers drawn from all four years of the Bachelor of Education (BEd) programme at a teacher education institution in Scotland, with a view to determining why there were such differing levels of engagement with an online maths assessment. The assessment was created in an attempt to address deficiencies in subject knowledge in order to reduce the amount of time spent on mathematics remediation, and to raise awareness of the levels of mathematics competence required in the primary classroom. Study of the reasons behind the differing patterns of engagement with the assessment revealed that two thirds of the group were able to reach a competence threshold and often to improve upon it by some way; a worrying third of the students, however, made little attempt to use the tool to improve their subject knowledge. A further finding indicated that students who engaged with the online assessment reported improving levels of confidence in mathematics.