数形结合在初中数学函数问题中的妙用

当下许多学生对函数的性质和应用感到困惑，导致其在解决函数问题时遇到困难.通过数形结合的方法，为学生提供函数图象来辅助学习和理解函数概念，是一个有价值的研究方向.数形结合可将抽象的数学概念与函数图象建立联系，帮助学生更好地理解函数的性质，进而解决函数问题.文章分析了数形结合的优势、作用，以及如何在函数教学中应用数形结合的方法.研究发现，数形结合不仅能够提升学生的学习兴趣，还能培养学生的几何直觉和思维能力.因此，教师在函数教学过程中应重视数形结合的应用，通过函数图象引导学生解决数学问题，培养学生的数学素养.     

初中数学解题中的函数思想应用策略

本文主要对初中数学函数解题中的函数思想应用策略进行研究,包括函数思想在其中的应用意义和应用策略.希望通过本次的研究,可以为初中数学函数解题教学质量的提升提供一定参考.     

数形结合思想在函数问题中的应用

初中数学是高中数学的基础,对培养学生的思维有着重要的作用.在初中数学教学中,函数是重点,也是难点,对以后数学的学习有着至关重要的作用.如何提高学生学习函数的效率,提高学生解函数题的能力,是值得每一个数学教师思考的问题.文章分析了初中数学函数教学的特征,通过举例子,介绍数形结合思想在函数问题中的应用,以期发展学生的思维.     

基于数学核心素养的函数值域教学

函数的值域是函数的重要性质之一.函数值域的教学中,教师以发展学生的数学核心素养为导向,以原题为基础实施一题多问、一题多解、一题多变,延伸出更多具有相关性、相似性、相反性的新问题,使学生在学习数学和应用数学的过程中,通过独立思考、自主学习、合作交流等多种学习方式,培养和提升自身的数学核心素养.     

正切函数在高中物理解题中的应用

正高中物理新课标中"应用数学工具处理物理问题的能力"是高中物理教学的重要内容,也是高考物理能力考查的重点.数学中的正切函数反映了直角三角形中边与角之间的关系,在高中物理中,有关物理量之间的关系往往构成直角三角形,运用正切函数可使相关物理问题迎刃而解.本文通过几个实例来说明正切函数在高中物理解题中的重要地位以及巧妙应用.一、正切函数在物体平衡问题中的应用     

Origin软件在数学建模教学中的应用

通过几个建模实例,介绍了Origin软件在《数学建模》教学中的应用.通过利用Origin软件的函数绘图、数据分析、函数拟合等功能,更加直观地展现了《数学建模》课中一些函数以及数据分析和拟合操作过程,从而进一步加深对数学建模这门课程的学习和理解,进而提升学生分析问题和解决问题的能力.     

指数、对数、幂函数大小比较的教学中数学思想的运用

在高中初等函数教学中,指数、对数、幂函数大小的比较是一定会涉及到的一个问题.在教学时,如果只是就题讲题,而不揭示其中蕴含的数学思想和方法,学生的认识水平和思维能力只能停留在表面,不能真正融会贯通.通过数学思想的培养,数学能力才会有一个大幅度的提高.下面就结合教学实际,阐述数学思想方法的运用.一、函数思想函数思想,是指用函数的概念和性质去分析问题、转化问题和解决问题.在解决问题中,善于挖掘题目中的隐含条件,构造出函数解析式和妙用函数的性质,是应用函数思想     

草图——完解函数解答题的灯塔

高考函数解答题是对学生数学素养、数学品质的高层次考查;通过剖析近2年的4道函数压轴题,探究函数草图在解题中的引领、指导作用,说明数形结合、以形助数的数学思想在高考函数解答题中的应用.     

例谈分类讨论思想在数学教学中的应用

分类讨论思想是重要的数学思想,它在数学教学中有广泛应用.如,在分段函数、分析绝对值、函数图形、概率问题等方面的应用.研究分类讨论思想的应用有实际意义.     

研究性学习课题：个人所得税的计算

1 教学目标 知识目标 理解并掌握函数的定义、分段函数和数学建模的一般步骤.能力目标 加强锻炼数学建模能力,培养学生应用数学的意识.情感目标 通过案例分析,感受数学应用过程,培养学生对数学的兴趣,渗透德育教育,树立依法纳税意识.2 教学重点、难点重点 根据已知条件建立函数关系式.难点 数学建模意识.3 教学过程3.1 情景设计投影1 宇宙之大、粒子之微、火箭之速、化工之巧、地球之变、生物之迷、日用之繁,数学无处不在,凡是出现“量”的地方就少不了数学.——华罗庚     

The use of music to teach life skills to students with emotional disabilities in the classroom

This article discusses the teaching of life skills to urban American youths who are highly fascinated with the hip-hop culture--songs, raps, miming, lyrics, dressing and musical rhythms, especially individuals with emotional disabilities in the public schools. This is an instructional curriculum strategy to encourage positive and active participation of these students, promote perfect school attendance, encourage good behaviors, deal with anger management and motivate committed learning in the classroom. The instructors＇ understanding of students＇ culture, learning needs and styles, and using such background knowledge to educate them become imperative in this setting. These urge for innovative and leadership projects in the author＇s special education classroom necessitated the application of hip-hop music to teach life skills, reading and other functional skills in the classroom. The outcome was positive and rewarding to both the teachers and students. There are recommendations for interested teachers to devise creative teaching methods, differentiated instruction and appropriate classroom management practices to attain student achievement.     

Puppets in science lessons Experiences and stories from Norwegian teachers who are using puppets

Ten teachers, from preschool to secondary school have tried out puppets as a stimulus in science lessons. Data were gathered by teachers answering a questionnaire and by interviewing the teachers. We report what teachers have experienced by using puppets in science classrooms and in science activities in preschools. Data indicate that the puppet can be used to stimulate science both in preschool, primary school and secondary school. Probably the puppet must be used in different ways in preschool and primary school than in secondary school to get the pupils to accept them. This pilot study has given us courage and ideas to start a following-up study in using puppets in science.     

The effects of globalization phenomena on educational concepts

It is becoming more and more apparent that globalization processes represent, theoretically as well as practically, a challenge for educational sciences and therefore, it must be addressed within the sphere of education. Accordingly, educational conceptions have to adapt to globafization phenomena and focus more on alternative and innovative educational concepts. The observable phenomena that appear as part of globalization then lead to the following question： Is there still space for educational concepts like emancipation, self-determination, equal opportunities and fairness in distribution, democracy and common sense？ The most indispensable tools for the development of equitable and peaceful contemporary education perspectives are a differentiated reflection on globalization phenomena and consequences, an intensive analysis and disclosure to address （global） conflict lines, the questioning of well-established concepts, the formation and embodiment of visions of the global future and the articulation of innovative education concepts. Modern social and political structures and practices have to be reoriented to combat the negative effects of globalization processes through the incorporation of more humane, socially fair and ecological principles. Educational science is sure to make an important contribution in making this a reality.     

论天人合一与书法艺术的审美关系

天人合一作为一种文化的终极理想和核心精神,对中国传统艺术有着广泛而深刻的影响。书法艺术作为汉民族对人类的伟大贡献,具有鲜明的民族特性。因而,它受文化终极理想和核心精神的影响和渗透就更加深入和典型,甚至呈现出具体意义上的种种对应关系。书法取法汉字的生命,又创造了汉字的新生命,使之成为真正有意味的生命的形式,而在这种生命形式深处所蕴藏的,则是中国文化的天人合一理念。     

Development of the social network b-learning in the University of Alicante

This work describes the genesis, articulation and consolidation from 2007 of a social network of b-learning （blended learning） in the UA （University of Alicante） （Spain）, with the institutional backing of the Office of the Vice President for Education Technology and Innovation, and the momentum and advice of professor Angel Fidalgo （UNESCO （United Nations Educational, Scientific and Cultural Organization） chair for University of Management and Policy）. The social network currently has more than 25 teachers, working on different work linkages with the university, implementing or intending to apply the teaching methodologyb-learning during the course 2007-2008 in a variety of courses and degrees. To do so, several resource centers （blogs, wikis, Wimba Create （before CourseGenie）, etc.）, and digital platforms （Virtual Campus of the UA, Moodle, etc.） are used.     

Values—— A study of teacher and student perceptions in four countries

The study aimed to assess and compare the values prevalent among the students and teachers of Universities in Bangladesh, Japan, USA and Germany. The sample consisted of 480 students and 236 teachers. The sample included 120 undergraduate students Japan; 120 undergraduate students from Bangladesh; 120 undergraduate students from USA, and 120 undergraduate students from Germany. The faculty sample included 60 teachers from Japan, 60 teachers from Bangladesh; 60 teachers from USA, and 56 teachers from Germany. To identify the value preferences of the individuals a list of 10 values, pro-social, achievement, power over others, security, self direction, otherworldliness, fatalism, narcissism, inner directed, and conservative, based on previous values studies by Singh and Parek were prepared. The first five values were identified in previous studies as functional （Singh, 1975） and other five were identified as dysfunctional （Parek, 1988） in the context of national development of Asian cultures. The results revealed that Bangladeshi students held stronger preferences for values identified as functional values than for those identified as dysfunctional. Japanese students indicated stronger preferences for the values identified as functional values except narcissism. The American students indicated a preference for three of the five values identified as functional but also ranked narcissism and other worldliness as third and fifth preferred values respectively. German student showed a preference for functional values, except narcissism which they also ranked as third. Bangladeshi teachers＇ preferences for functional values were higher than dysfunctional values. Japanese teachers indicated a preference for functional values except narcissism. American teachers preferred functional values except other worldliness. German teachers＇ value preferences were also functional, except for narcissism which they ranked as fifth. Students and teachers in the four countries sampled indicate preferences for values identified as functional with few exceptions. This research suggests that value preferences among university students and teachers are more similar than different, suggesting a homogenizing effect （Boli, 2005） on human values.     

基于需求和自我效能理论构建研究生英语分级教学新模式

分级教学改革旨在解决公共研究生英语教学中存在的问题,改革无论学生英语水平如何、需求如何,都使用同一本教材、采用同一种教学模式、教授同一种课型的方式。本文采取针对硕士研究生的不同英语水平和不同主体关于英语学习的不同需求进行"有的放矢"、"因材施教"的教学新模式,目标是缩小研究生的英语语言知识与实际应用能力之间的差距,促进学生英语能力与其本领域的研究相结合。     

Developing schools as professional learning communities： The TL21 experience

Over the last 2 decades, Irish schooling and society have gone through a period of significant structural and policy-driven change. To meet the emerging needs of the knowledge/learning society, schools and teachers are challenged to develop their capacities as ＂active learning communities＂. This places greater demands on teachers and schools to reflect on their classroom practices, to utilise a wider repertoire of pedagogic styles more suited to the needs of the 21st century learners and so that meaningfully collaborate with their fellow professionals. Teaching and Learning for the 21st Century （TL21） was a 4-year （2003-2007） multi-pronged research and development project involving the Education Department at the National University of Ireland, Maynooth （NUIM） and 15 post-primary schools. The project sought to address a number of key aims in terms of developing schools as professional learning communities, including addressing the isolation and insulation which teachers can, and do experience in their day-to-day professional lives and prioritize quality in teaching and learning as a key challenge for school development planning. This paper attempts to succinctly frame the key developments and findings which emerged over the duration of this process.     

Promoting accountability and enhancing efficiency： Using national education accounts to track expenditure flows

Increasing accountability and efficiency in the use of public and out-of-pocket financing in education are critical to realizing the maximum impact of the meager allocations to education in most developing countries. While broad estimates and numbers are routinely collected by most national ministries and state departments of education, the lack of accuracy and reliability as well as the obtuse nature of recording and presentation of the data does not facilitate any serious policy use. A major advance in this area has been brought about by the development of NEA （National Education Accounts）, which is a new tool for measuring education expenditures in a systematic policy-~endly manner. In essence, NEAs measure the ＂financial pulse＂ of an education system, answering 4 key questions： Who is financing education？ How much do they spend？ How are funds distributed across different education providers, levels and activities？ Who benefits from or receives the services？ NEAs gather information on all spending from public, private and donor sources, and provide a snap-shot of all expenditures on education in the state or country. While not an auditing tool, it provides real time information on the flow of funds that can be used for evidence-based decision-making. It provides information to policy-makers, enabling them to discern systcm-wide inequities and identify areas that require changes in policy. In addition, the use of a standard classification of expenditures allows for data from NEAs to be comparable between and within countries. This paper provides an assessment of accountability and efficiency in the use of public and private resources in the education sector in 2 states of Nigeria. Using comparative data from implementation of education accounts in 2 states of Nigeria, it presents a breakdown of education spending by public and private sources as well as donor agencies, by types of providers, by geographical regions and by category of expenditures. It analyzes educational expenditures for the 2 states in the context of state government priorities for education, and proposes a novel way of tracking trends in education spending as a means for policy-makers to organize a strategic vision supported by resources and to evaluate the outcome of policies.     

初中生物学课后作业有效设计的思考

布置并指导完成适当的课后作业是初中生物课教学过程的重要环节.课后作业过程是学生学习成长的历程,是理论联系实际,关注生活,关注生产和社会实际的重要途径;也是培养学生学习兴趣,发展创造性思维,学习科学探究方法,形成实践技能的重要形式.对贯彻新课程理念,树立新的作业观,努力提高初中生物课后作业设计的有效性,进行了有益的探索与实践,取得了良好的效果.