探究式教学的五层境界

高中数学《课程标准》认为基础教育的着眼点应放在让学生去探究上,不断启发学生去猜测、去思索、去动手实验,探究式教学已成为新课程改革下数学课堂教学的一个热点.在取得一定经验的同时,我们也清醒地认识到探究式教学中还存在着不少问题,教师还存在着不少的困惑.教师对探究教学的理     

核心素养视角下高中数学探究式教学——以《等比数列前n项和》为例

当前高中数学课堂教学还存在很多问题,学生缺乏探索知识的能力,缺乏一定的钻研精神,有些数学教师已经采用一些新的方法,不过教师的方式与讲的内容结合的不是很恰当,还有部分教师教学形式老旧,无法有效锻炼学生的思维,不能很好促进学生的发展,没有做到让学生真正学会学习.新课标中提到学生的自主学习能力是要重点培养的,所以教师要一直探索适当的教学形式,以提高课堂教学效率,提高学生的综合能力.探究式教学方式把课堂真正还给学生,使学生积极参与课堂.本文以探究等比数列前n项和的公式推导为例,阐述探究式教学对促进学生思维发展、提高课堂教学效率的重要意义.     

相信学生他们会带着问题走向你--质疑教学个案

今年 4月 ,我在本校高二年级文科班承担了一节公开课 (系成都市高二数学探究式教学公开课 ) ,教学内容是现行高中《代数》下册 (必修 )第 8章第 7小节 ( P2 0 7)实系数一元二次方程求根公式学习后的深化研究 .为了体现探究式教学“以人为本的主体性原则”,让学生“带着问题走向教师”,实现教师“带着学生走向知识”,我设计了“读书生疑”的环节 :通过教师引导 ,让学生阅读教材 ,思考既然已经知道在复数范围内实系数一元二次方程在Δ <0时居然也有解 ,且求根公式几乎一样 ,那么能不能提出一些似乎还应该知道、有必要再研究的问题 .公开课上 …     

传统教育到智慧教育融合阶段的计算数学专业课程教学改革与探索

探讨了在从传统教育到智慧教育的融合阶段计算数学专业课程教学改革目的与实践.通过在教学方案中引入案例教学、开放性课题研究及探究式教学,让学生带着问题主动参与,培养了学生思考能力、动手解决问题的能力,激发了学生的好奇心,启发学生的开放性思维,使得大学课堂成为教师和学生共同学习互动的场所.     

发现教学法

1　发现教学法的历史探源发现教学法又称探索法、研究法、现代启发式或问题教学法 ,是指教师不直接把现成的知识传给学生 ,只是引导学生根据教师和教材提供的课题、资料 ,让学生积极思考、独立探究、自行发现并掌握相应的原理和理论的一种教学方法 .发现教学法就其思想渊源说 ,是个古老的方法 .法国启蒙思想家卢梭在《爱弥尔》中作过这样的表达 :“至于我 ,我是不想教爱弥尔几何的 ,相反地 ,要由他来教我 ,由我寻找那些关系 ,而他则发现那些关系 ,因为我在寻找那些关系时 ,采用了使他能够发现那些关系的方法 .”德国资产阶级民主主义教育家…     

“题组教学法”的应用例析

“题组教学法”是指在课堂教学中教师依据学生的认知习惯,选取一组科学、合理的数学问题进行课堂教学的方法.“题组教学法”以问题进行导入激发学生的求知欲,以系列问题帮助学生建构知识体系,完善认知结构.本文中从题组展示、探究交流、讨论辨析、评价总结四个方面探讨“题组教学法”的具体教学策略.     

数学探究式教学浅尝

数学探究式教学,是由教师根据教材特点和学生的实际刻意创设的,能让学生通过主动参与、亲自体验、尝试探究,而获取新知识的一种教学形式.学生能否积极主动参与数学教学实践活动,其参与度不仅取决于学生主体意识和活动能力,而且取决于教师对教学活动的组织设计能否为学生提供充分活动的形式、空间和时间.本文就下面一案例(主要教学片面设计)说明对数学探究式教学的初步探索.案例:两个平面互相垂直的判定和性质1.提出问题师:前堂课,我们已经学习了两个平面垂直的概念,今天我们来学习“两上平面垂直的判定和性质”(板书课题)假如有一条直线l和…     

避免初中数学教学过程中的圈套式探究

<正>最近,笔者有幸阅读了文[1],感触颇深.二期课改以来,教师们的课堂教学中,越来越重视学生得到知识的过程,课堂教学的形式也慢慢从讲授式教学转变到探究与讲授相结合的教学方式,设计探究活动过程中,时常被种种的问题所困扰.通过活动,让学生经历知识发生的过程,他们是否真正体会到了活动背景之后的数学思想呢?"经历"是否等于"探究"?探究式教学,是指教学过程在教师的启发诱导下,为学生提供充分自由表达、质疑、探究、讨论问题的机会,让学生通过个人、小组、集体等多种解难释疑的尝试活动,将自己所学知识应用于解决实际问题的一种教学形式.     

用探究式教学,演绎精彩课堂

探究式教学有利于学生知识体系的建构,并在拓展学生思维、培养学生创新能力中发挥着举足轻重的作用,所以已深入人心,在教学中得到了广泛的应用.在探究中,应注意适度、适量、分层,避免盲目探究.在探究中,应注意以下几点:首先,探究的问题不宜过难.探究的问题应是位于学生思维最近发展区的问题,让学生够得到,这样才能让学生通过解决问题发展思维、提升信心.若难度过大,会让学生产生畏难心理,阻碍思维发展.     

探究式课堂教学一点反思

探究式课堂教学突出了学生学习的主体地位,学生自主学习的能力得到了加强,让学生真正成为学习的主体,活跃了课堂气氛,提高了课堂教学效果本文就探究式课堂教学实施策略,谈谈在教学实际中的几点做法.     

Further Development and Validation of the Teaching Science as Inquiry (TSI) Instrument

The purpose of this study was to further develop and validate the Teaching Science as Inquiry (TSI) Instrument, an instrument designed to measure the self‐efficacy beliefs of preservice teachers in regards to the teaching of science as inquiry. Based on the validation processes and the associated data analysis, the TSI demonstrates continued content and construct validity with high internal reliability when used with prospective elementary science teachers.     

Building Teacher‐Scientist Partnerships: Teaching About Energy Through Inquiry

This study evaluated the effectiveness of teacher‐scientist partnerships for increasing the use. of inquiry in precollege classrooms. It assessed the influence of the Teaching About Energy Through Inquiry Institutes for middle and high school teachers and energy scientists on participants' attitudes about science and science education, use of inquiry instructional techniques, and student attitudes about their classroom environments. Participant surveys, institute and classroom observations, lesson plans, and interviews indicated increased appreciation for inquiry, greater confidence in teaching using inquiry, and greater use of inquiry in the classroom. Student surveys and classroom observations pointed to higher levels of student satisfaction and less friction among classmates during inquiry‐based investigations implemented after the institutes. Moreover, scientist partners reported increased familiarity with principles of science education and best teaching practice, which are essential skills and knowledge for disseminating results of scientific research to nonscientific audiences, as well as their own students. These results suggest that collaborations between teachers and research scientists can positively affect the environment for learning science in precollege and college classes. Successful collaborations are most likely to occur when equal status for teachers and scientists in the partnership is stressed and partners have the opportunity to explore inquiry‐based curricula together.     

Science Teacher Efficacy and Outcome Expectancy as Predictors of Students' End‐of‐Instruction (EOI) Biology I Test Scores

The purpose of this study was to compare teacher efficacy beliefs of secondary Biology I teachers whose students' mean scores on the statewide End‐of‐Instruction (EOI) Biology I test met or exceeded the state academic proficiency level (Proficient Group) to teacher efficacy beliefs of secondary Biology I teachers whose students' mean scores on the EOI Biology I test fell below the state academic proficiency level (Non‐proficient Group). The mean difference on the Personal Science Teaching Efficacy (PSTE) subscale scores between the two groups was not statistically significant. This indicates that personal science teaching efficacy was not statistically related to how a teacher s students scored on the EOI Biology I test. The mean difference on the Science Teaching Outcome Expectancy (STOE) subscale scores demonstrated a statistically significant difference between the science teaching outcome expectancy of the Non‐proficient Group and Proficient Group teachers. Proficient Group teachers had significantly higher STOE scores than teachers Non‐proficient Group teachers. This finding suggests that End‐of‐Instruction Biology I test scores were related to the expectations that a teacher held for his/her students to learn biology regardless of student home environment, availability of classroom materials, or student motivation.     

对本科工科概率统计教学的探索与思考

本科工科概率统计教学是我国工科数学教育中备受关注的一个重要问题,本文从加强教材建设、改善师资队伍的博士化率、提高教师学术水平、建设信息技术平台来改善教学手段和方法、增强教师的教学理论水平等五个方面论述了它们对提高本科工科概率统计教学水平的重要性和迫切性.     

Mathematics teaching development as a human practice: identifying and drawing the threads

The didactic triangle links mathematics, teachers and students in a consideration of teaching?Clearning interactions in mathematics classrooms. This paper focuses on teachers and teaching in the development of fruitful learning experiences for students with mathematics. It recognises primarily that teachers are humans with personal characteristics, subject to a range of influences through the communities of which they are a part, and considers aspects of teachers?? personhood, identity and agency in designing teaching for the benefit of their students. Teaching is seen as a developmental process in which inquiry plays a central role, both in doing mathematics in the classroom and in exploring teaching practice. The teacher-as-inquirer in collaboration with outsider researchers leads to growth of knowledge in teaching through development of identity and agency for both groups. The inclusion of the outsider researcher brings an additional node into the didactic triangle.     

“Last curves not quite correct”: diagnostic competences of future teachers with regard to modelling and graphical representations

The article describes the results of a national enrichment to the six-country study Mathematics Teaching in the 21st century (MT21)—an international comparative study about the efficiency of teacher education. The enrichment focuses on the diagnostic competence of future mathematics teachers as sub-component of teachers’ professional competence for which the evaluation of students’ solutions of a modelling task about the course of a racetrack is demanded. In connection with two sub-facets of the diagnostic competence, namely the competence to recognise students’ misconceptions and the competence of criteria-guided assessment of students’ solutions, typical answer patterns are distinguished as well as the frequency of their occurrence with regard to future teachers’ phase of teacher education and the level of school teaching they are going to teach in.     

Content Knowledge,Attitudes, and Self‐Efficacy in the Mathematics New York City Teaching Fellows (NYCTF) Program

The purpose of this study was to understand the mathematical content knowledge new teachers have both before and after taking a mathematics methods course in the NYCTF program. Further, the purpose was to understand the attitudes toward mathematics and concepts of self‐efficacy that Teaching Fellows had over the course of the semester. The sample included 42 new Teaching Fellows who were given a mathematics content test, attitudes toward mathematics questionnaire, and teaching self‐efficacy questionnaire at the beginning and end of the semester. Further, the teachers kept teaching and learning journals. Findings revealed a significant increase in both mathematical content knowledge and positive attitudes toward mathematics. Additionally, Teaching Fellows were found to have positive attitudes and high self‐efficacy at the end of the semester, and relationships were found between attitudes and self‐efficacy. Finally, Teaching Fellows generally found that classroom management was the biggest issue in their teaching, and that problem solving and numeracy were the most important topics addressed in their learning. Future studies should address self‐efficacy differences between preservice and in‐service teachers and the effects of alternative certification teacher knowledge, attitudes toward mathematics, and self‐efficacy on students in the classroom.     

Authentic and Simulated Professional Development: Teachers Reflect What is Modeled

Science is a dynamic discipline, representative of the nature of science. Yet, young science students continue to think everything is already discovered. In this study, we examine why students are not actively doing science. From professional development to student engagement, how are classrooms and students changing as we increase teachers' content knowledge? Teaching practices modeled in professional development can change what occurs in the classroom. Our study was designed to probe differences in two different types of professional development programs both focused on content knowledge. We found that what is modeled by the professional developers has a profound effect on the direction of the classroom. This matched controlled study found that teachers reflect the teaching practice modeled by professional developers through their individual classroom teaching practices. A significant difference was found in cognitive activities and questioning skills between teachers in a professional development program modeling authentic inquiry versus the teachers in a professional development modeling simulated inquiry. While both groups increased the amount of overall inquiry used in the classroom, students whose teachers were in authentic inquiry professional development were engaged in higher cognitive activities and questioning skills. If students are engaged in dynamic classrooms, searching for answers to students' questions, perhaps they will understand that science is a dynamic discipline.