中学概率统计中的数学思想及其教学

概率统计中的数学思想可分为特有的数学思想和一般的数学思想,其中特有的数学思想主要有随机思想、统计调查思想、统计描述思想、统计推断思想等;一般的数学思想主要有化归思想、模型化思想、数形结合思想等。     

中美澳初中数学统计课程难度的比较研究

从中国、美国、澳大利亚3个国家分别选择两套教育行政部门审定通过或广泛使用的初中数学教材,以教材中的统计部分为研究对象,从内容广度、内容深度、习题难度等方面进行比较研究,得出中美澳6个版本教材统计部分的课程难度:美国Mathematics教材和Connected教材课程难度值排名前两位,澳大利亚Heinemann教材和ICE-EM教材其次,中国PEP教材和BNUP教材排名最后.研究的结果为中国初中数学统计部分课程内容的改革以及教材统计内容的编写提供思考和启示.     

注重数学思想和数学思维培养的概率统计教学研究

文章分析了数学思想与数学思维的内涵及外延,探讨了数学思想与数学思维的辩证关系,以《概率统计》的课程教学为例阐述了掌握数学思想和数学思维对学习该课程的重要意义,并讨论了在《概率统计》课程的教学过程中如何培养大学生的数学思想和数学思维,从而使大学生的数学思维结构得以改善。     

概率统计教学中的数学思想分析

文章简要介绍了《概率统计》课程中常用的数学思想,采用例举法,分析了《概率统计》课程中重要知识点学习时重点要用到的数学思想,为培养大学生的数学思维奠定坚实基础,从而使大学生的数学思维结构得以改善。     

国内概率统计数学思想教学研究进展

在对近年中国国内统计学者在概率统计数学思想教学中的一些研究成果进行了综述后认为,国内概率统计数学思想的教学研究集中于思想的内涵、作用与功能、方法与技巧,取得了较为丰富的成果。     

数学建模思想融入《概率论与数理统计》的教学改革

数学建模包括数学的表达式以及各种数学的图表等,属于一种抽象的数学工具,用来描述系统具有的特征和联系。在生产实践中,模型随处可见,大部分都属于概率模型。概率论以及数据统计属于数学领域的分支,主要研究的是统计规律性,属于理工科学生必学的课程,也是数学学科的基础课程。随着教学的不断改革,将数学建模的基本思想融入到概率统计中逐渐走进了教学的课堂,本文主要阐述了数学建模基本思想融入到《概率论与数理统计》的教学改革。     

军校工科概率统计课程教学实践的几点体会

如何提高概率统计课程教学质量,增强工科学生对概率统计思想和方法的理解及应用能力已成为现代工科数学教学的一个重要课题.本文针对工科概率统计课程的特色,结合教学实践,从四个方面对工科概率统计课程的教学进行了分析和阐述.     

概率统计中的数学思想

数学思想是在数学研究活动中解决问题的根本想法，是对数学规律的理性认识。概率论与数理统计学科中包含的随机思想、公理化思想、建模思想、数形结合思想、集合与映射思想、统计推断思想等是该学科的精髓和方法论内涵。     

统计初步中的数学思想

解统计问题时经常用到一些基本的数学思想,这里举例介绍,供大家参考．     

“统计”中的数学思想探究

目前在数学中考中统计题目千变万化,“材料新,情景新,问题新”已成为出题新趋势．在教学过程中,教师应当对统计中的数学思想进行归纳,以探索解题规律。     

对小学数学教师专业化发展问题的思考

数学教师专业化发展问题是教师专业化建设的一个重要组成部分.由于对小学数学教学的特殊性认识不足,加之小学数学教师本身的专业化程度不高,我国小学数学教师专业化发展面临的形势异常严峻;在教师专业化意义下,小学数学教师专业发展有着特定的专业素质结构,这是小学数学教师专业发展的主要内涵与要求;小学数学教师专业化发展,离不开对数学教学问题的执著探求、对数学教育理论的不断学习、对数学课堂教学的反复实践、对数学教学行为的深刻反思.     

中学数学实验与大学数学实验比较研究

通过比较,找出中学数学实验与大学数学实验的相同点、不同点,借鉴大学数学实验已有经验指导中学开展数学实验,并给出中学数学实验对学生数学活动经验的增加与学习方式的改变等方面的积极影响,最后为中学数学实验的推广、发展提出建议。     

中英高中数学教材复数内容比较研究——以英国AQA数学课本和人教版A版数学课本为例

英国高中数学教材呈现多样化、商业化的特点.中国大陆高中复数学习内容缺乏完整性和系统性,知识呈现模式反映两国对师生之间的位置关系的不同认识,中国教材为降低数学内容过于形式化而采取的措施不合理.英国AQA考试委员会所用数学教材难度大,知识容量大,更加形式比,复数学习包含更多内容.     

对“小学数学课程与教学论”课程教材建设的新思考

“小学数学课程与教学论”是高师院校小学教育专业本科的一门必修课程,其课程内容体系一直在变化发展之中,因此,相关教材也层出不穷。小学数学课程与教学论课程教材建设非常必要,同时,教材应该将课程与教学四个方面,即小学数学学习能力指标、小学数学教材分析、小学数学课堂教学研究、小学数学教学过程设计更好地融合在一起,然后加以编写。     

Exploring the social ecological model based on national student achievements: extracting educational leaders’ role

The purpose of this paper is to reexamine the effect of internal school factors such as school violence and class size, and external school factors such as family socio-economic resources on student math achievements, based on the social ecological model, eliciting an integrative approach. Data were collected from an Israeli national database, using average percentage scores for each school. The scores were based on results from 20,979 students in 191 junior high schools participating in the study. The study findings showed that in addition to low violence at school, family socio-economic status, including private math tutoring and computer-based math learning at home, predicted high math achievements. School violence partially mediated the relationship between sector and student achievements in math, while family socio-economic status partially mediated the relationship between district and student achievements in math. Our integrative model results may help school leaders to design policy to increase school effectiveness and reduce gaps among districts and sectors. The findings may encourage school leaders to strengthen the relations between schools and students’ homes in order to influence students’ activities there, especially in areas with low socio-economic status, to conduct school activities to reduce school violence, and increase computer-based learning in students’ homes.     

Mapping changes in students’ English and math self-concepts: a latent growth model study

The aims of this study were to examine changes in students’ English and math self-concepts and to investigate the effects of gender and school ability level on these changes. Self-concept in English and math were measured thrice across three years among a sample of 2618 secondary school students from Hong Kong. Gender and school ability level were included as time-invariant predictors. Results indicated that students’ English self-concept slightly increased across time, while math self-concept marginally declined. Gender influenced both the initial levels and rates of change for English and math self-concepts, while school ability level predicted initial levels of self-concept. Implications are discussed.     

The effects of high school math curriculum on college attendance: Evidence from the NLSY97

Using a sample of youth who graduated from high school in the late 1990s and early 2000s, this paper examines the impact of high school math curriculum on the decision to go to college. Results that control for unobserved differences between students and their families suggest that a more rigorous high school math curriculum is associated with a higher probability of attending college and of attending a 4-year college. The household fixed effect results imply that students who take an advanced academic math curriculum in high school (algebra II or precalculus, trigonometry, or calculus) are about 17 percentage points more likely to go to college and 20 percentage points more likely to start college at a 4-year school by age 21 compared to those students whose highest math class was algebra I or geometry.     

The effects of perceived parental math support on middle school students’ math engagement: the serial multiple mediation of math self-efficacy and math enjoyment

The present study explored the direct and indirect (serial multiple mediation of math self-efficacy and math enjoyment) effects of perceived parental math support on middle school students’ math engagement. A total of 374 middle school students ranging the age of 11 to 15 years completed a set of questionnaires assessing perceived parental math support, math self-efficacy, math enjoyment, and math engagement. In the analysis of structural model, a multiple-step multiple mediation analysis was employed. The findings indicated that perceived parental math support was directly and positively associated with math engagement. Additionally, math self-efficacy and math enjoyment sequentially mediated the relationship between parental math support and math engagement. The limitations and implications of the results are discussed and suggestions for future research are proposed.

     

微积分方法在初等数学中的应用研究

本文以大量的中学数学的范例为依据，充分说明了高等数学微积分方法在解决中学初等数学的相关问题上，具有的明显的作用。     

初中数学教师继续教育课程设置研究

文章在调查研究的基础上对初中数学教师继续教育课程的规划进行了论述。提出了对初中数学教师继续教育课程的设想并论证了其必要性和可行性。内容涉及课程理念,信息技术与数学教学,和在初中数学教师的知识结构上急需补充的其他内容。