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。     

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!     

小学数学学习障碍的教学策略研究

数学学习障碍作为众多学习障碍中的类型之一,其成因复杂表现类型多样,而小学阶段又是学生学习数学最基础最重要的黄金时期,所以对此要求教师要针对小学数学学习障碍的不同的形成原因和不同表现形式,对有数学学习障碍的学生采取相应的教学手段和教学方法进行因材施教,从而达到教师的教学效果和学生学习效果达到最优化的目标。     

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。     

The effectiveness of the use of learning support assistants in improving the mathematics achievement of low achieving pupils in primary school

The use of learning support assistants in schools has become increasingly common in England, partly as a result of government support for this strategy. One suggested advantage of the deployment of learning support assistants is to provide additional support to low achieving pupils. However, so far research on the effects of this strategy is very limited. In this study the effect of using trained learning support assistants to help pupils underachieving in mathematics is examined using a quasi-experimental design whereby pupils receiving support were matched to those not receiving support on prior achievement and pupil background factors.     

寓数于形,以形解数——论小学数学中的数形结合法

数形结合法是一种科学的数学教学方法,符合数学学科的内在规律,因此备受广大师生的喜爱。本文,笔者结合日常教学中的实例,分别从"由数画形""形中辨数""数形联谊"三个方面,具体探讨了在小学数学中如何合理运用数形结合法,提高课堂教学效率。     

Effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers

An experiment was conducted to examine the effects of metacognitive instruction on mathematics achievement and attitude towards mathematics of low mathematics achievers at a middle school in the North‐West Province of South Africa. Forty standard (std) 7 pupils were identified whose non‐verbal general ability and previous mathematics achievements were significantly lower than those of other std 7 pupils. These subjects were randomly assigned to an experimental group and a control group. Metacognitive strategies in solving mathematical problems related to four mathematics topics were individually taught to the members of the experimental group, while the pupils in the control group were taught the four mathematics topics through the conventional method of teaching mathematics. The comparisons of pretest and posttest measures of general ability, metacognitive awareness, attitude towards mathematics, and mathematics achievement revealed that the posttest scores of all the four variables for the experimental group were significantly higher than those for the control group.     

Information technology,mathematics achievement and educational equity in developed economies

The present study examined how access to home and school IT resources impacted student mathematics achievement. Data comprised 144,395 secondary school students from 7,308 schools in 22 developed economies who participated in the Programme for International Student Assessment (PISA) 2012. Results of hierarchical linear modelling showed that after controlling for student and school covariates, student achievement benefited from their access to home IT resources (main effect), and from the access to both home IT resources and highly educated mothers (interactive effect). Furthermore, IT resource shortages in school had a detrimental impact on student achievement (main effect), and the shortage accentuated the negative effects of school shortage in qualified teachers on achievement (interactive effect). Lastly, the results showed that students with less home academic and cultural resources were more impacted by IT resource access when compared to peers from advantaged families.     

谈小学数学探究性学习的课堂教学策略

本文对如何有效地指导学生进行探究性学习提出了四条课堂教学策略：营造宽松的学习氛围，为学生创设良好的学习环境；创设问题情境，激发学生探究欲望；让学生在探究学习中既独立思考又合作、交流、讨论；教师要以一个参与者的身份给学生以支持。     

浅谈学具操作在小学数学课堂教学中的作用

学具操作对小学数学课堂教学非常重要。近几年的教学实践证明,在小学数学课堂教学中,适当地引导学生动手操作,让学生通过学具操作参与知识的形成过程,对唤起学生的求知欲、帮助学生理解算理和掌握数学概念、培养学生的探索能力都起着非常重要的作用。     

Long‐term effects of primary schools on mathematics achievement of students at age 17

In the field of educational effectiveness research, school effects are generally studied in the short term (i.e. during the same phase of schooling). The aim of this study is to investigate long‐term primary school effects on students’ achievement in mathematics at the end of secondary education. We also investigate which primary school characteristics are of importance in the long term. Data from the longitudinal SiBO project, in which a cohort of 6,000 Flemish pupils were intensively followed from kindergarten to grade 7, was used. At the age of 17, the same cohort participated in follow‐up data collection. Cross‐classified multilevel models showed small continuing effects of primary school on the mathematics achievement of students (i.e. over and above what had been reached at the end of primary education). No long‐term effect was found of the proportion of high‐risk students at primary school. Students coming from a primary school with a higher effectiveness obtained higher mathematics results at age 17, but when the mathematics achievement of students at the end of primary school was taken into account, this effect disappeared. We also observed that students coming from Catholic primary schools performed better in mathematics at age 17 compared with students coming from public schools. The implications of the findings are discussed.     

Eliciting pupil perspectives in primary mathematics: possibilities and issues

This article considers various approaches to consulting primary pupils about mathematics. This is done first through a literature review and second by drawing on our experience of designing and piloting pupil consultation in collaboration with staff in one primary school. Our concern is with the utility and drawbacks of the methods used rather than with substantive issues. We conclude that useful information can be gained from both the planning process and outcomes, but caution must be exercised in interpreting pupil responses. Social processes are involved and the possibility of social desirability effects must be acknowledged. Finally, we indicate the usefulness of using different approaches together.     

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.     

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。     

对日本新的小学数学教学内容改革的认识

着重探讨日本新的小学数学教学内容的改革 ,课程和教学内容的改革要充分考虑社会、学生、学科的发展需要。     

The relations of parental supervision,parental school involvement,and child's social competence with school achievement in primary school

The aim of this study was to examine the relation of parental supervision, parental involvement at school and child's social competence with school achievement in primary school. A theoretical model was postulated that predicts direct and indirect effects of parental behaviors on adolescents’ school achievement. Participants were 1,024 adolescents attending Grades 5 through 8 in 20 primary schools in Croatia and one of their parents or guardians. Adolescents completed a scale assessing their self‐perceived social competence and data on their grade point average were collected. Parents completed scales measuring parental supervision and parental involvement at school and they rated their child's social competence. The results of model testing showed that parental behaviors have both direct and indirect effect on adolescents’ school achievement. Greater parental supervision and school involvement have a direct and an indirect, through their effects on child's social competence, positive effects on adolescents’ school achievement.     

小学数学教学中人文数学的实施策略

在数学教育中渗透人文教育,弘扬人文精神,是素质教育的要求,是我国新课程改革所规定的数学教育的目的,更是数学教育发展的必然。人文数学是数学与人文的结合,是用数学的精神、原则、思想和方法对学生进行文化陶冶和人格塑造,让数学教育在传授科学的同时起到提高人的文化素养和教化人格的作用。教育者可从创设特色人文课堂情境、引导学生自主学习、重视学生的个体差异三个方面实现人文教育在数学教学中的渗透,进而实现科学与人文在数学教学中有机的结合,进而促进学生人文素养的提升。     

数学新课程实施中学生合作能力的培养

培养学生的合作学习能力可通过合作＂做＂数学、＂思考＂数学、＂体味＂数学等途径实施师生合作,而在学生之间的合作应特别培养合作的主动性、和谐性和交互性。     

Teaching the language of mathematics at three levels of an English-medium primary school

This study, situated in a multilingual, English-medium educational context, draws on theory from mathematics and language education to capture teachers’ perspectives on the place of language in their mathematics pedagogy. The benchmark study explored this topic through surveying and interviewing teachers. Additionally, it sought to relate teachers’ views to their practice by focusing on observing three teachers’ mathematics lessons at primary one, three, and five. Findings are that mathematics teachers placed importance on teaching language, being specifically concerned with language as input and comprehension. They taught vocabulary and reading skills in supportive ways explicitly yet differently at the three grade levels. Particularly at the lower levels, teachers contextualised language in the concrete examples employed for mathematics teaching. At all three levels, prominence was given to teaching pupils how to read word problems as well as how to solve them. However, at primary three, a tension was observed between the two aims of teaching mathematical vocabulary and teaching the reading skills for word problems. This paper illustrates the tension and discusses its possible causes.     

Assessment for learning in Norway and Portugal: the case of primary school mathematics teaching

In this study, we aim to understand the forces driving assessment for learning (AfL) in primary school teaching. By applying a case study design, including the two cases of Norway and Portugal and using mathematics teaching as an example, available policy documents and research reports are analysed to identify the differences and similarities that might explain the assessment practices previously observed in the two countries. Many similarities are found at the school and national levels. In particular, AfL is introduced as a national policy in both countries. Still, AfL practices are not common in primary mathematics classrooms in either country, although this is true for different reasons in each country. It is suggested that the assessment culture caused by national policies, such as curriculum reforms, national professional development projects and teacher autonomy, explains the similarities in the observed outcomes.