数学教师专业化与高师数学教育专业课改

数学教师专业化是世界数学教师教育的发展潮流,其内涵包括:数学教师数学专业化、数学教师教育专业化和数学教师专业情意.当前高师数学教育在课程设置上不适应数学教师专业化要求,改革重点是构建合理的课程体系.     

高等数学思想在初等数学中的渗透

本文通过笔者的教学实践,对高等数学方法在初等数学的渗透作系统总结,突出高观点下的数学教学的理念。     

新课程化学教学目标的设计研究

本文用系统论的角度对高中新课程下化学教学目标的设计理念、方法进行深入分析研究.对教学目标叙写的要素、行为主体、用词等进行阐述,并结合作者具体的教学实践介绍了中学化学教学目标科学、准确的几种叙写方法.     

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.     

A preliminary discourse analysis of constructivist-oriented mathematics instruction for a student with learning disabilities

Reform efforts in mathematics education arose, in part, in response to constructivist works on conceptual learning. However, little research has examined how students with learning disabilities (LD) respond to constructivist-oriented instruction in mathematics, particularly in moment-to-moment interactions. To understand the nature of constructivist-oriented mathematics instruction involving students with LD, the authors conducted a case study to analyze teacher–student interactions during constructivist-oriented small group instruction involving a student with LD. The student demonstrated, to a certain degree, the ability to reason mathematically when provided with appropriate opportunities and prompting. However, given the limited intervention time, his reasoning and problem solving did not seem to go beyond the semiconcrete level of operation, which may have inhibited his solving of complex word problems with large numbers. Findings indicate that more efforts are needed to support students, those with LD in particular, in their transitions from concrete or semiconcrete to abstract conceptual understanding and problem solving.     

MyTeachingPartner-Math/Science pre-kindergarten curricula and teacher supports: Associations with children's mathematics and science learning

MyTeachingPartner-Math/Science (MTP-MS) is a system of two curricula (math and science) plus teacher supports designed to improve the quality of instructional interactions in pre-kindergarten classrooms and to scaffold children's development in mathematics and science. The program includes year-long curricula in these domains, and a teacher support system (web-based supports and in-person workshops) designed to foster high-quality curricular implementation. This study examined the impacts of the intervention on the development of mathematics and science skills of 444 children during pre-kindergarten, via school-level random assignment to two intervention conditions (Basic: MTP-M/S mathematics and science curricula, and Plus: MTP-M/S mathematics and science curricula plus related teacher support system) and a Business-As-Usual control condition (BaU). There were intervention effects for children's knowledge and skills in geometry and measurement as well as number sense and place value: Children in Plus classrooms made greater gains in geometry and measurement, compared with those in BaU classrooms. Children in Plus classrooms also performed better on the number sense and place value assessment than did those in Basic or BaU classrooms. We describe the implications of these results for supporting the development of children's knowledge and skills in early childhood and for developing and providing teachers with professional development to support these outcomes.     

Influence of instruction in mathematics for low performing students on strategy use

Effects of two subtraction instruction types for low achieving children were compared. The first was based on constructivist ideas. The second was more or less traditional but did include interaction opportunities comparable to those in constructivist classrooms. Sixteen students (eight in each condition) with an average age of 10.5 years were trained during 34 lessons. Results showed no performance differences between the two groups on the subtraction problems instructed. There was a performance advantage for the traditional group on transfer problems without regrouping. The constructivist group used more different strategies but was not able to use this bigger repertory in a flexible way; instead, they used their strategies rather randomly. These findings pose questions on the usefulness of constructivist teaching in mathematics for low performers.     

Effects of vocabulary instruction on measures of language processing: Comparing two approaches

This study examined effects on kindergartners (n = 131) of two approaches to vocabulary instruction, repetition and interactive, and a control condition, along a progression of language processing, using a within subject design. The repetition condition featured repeated readings of a story and practice with definitions. The interactive condition featured multiple contexts and active processing of the words. Students were assessed with experimenter-designed measures of meaning recognition, comprehension, and production. Repetition and interactive approaches enabled students’ recognition of word meanings and higher-order processing compared to the control. Two measures of higher-order processing showed advantage for interactive instruction relative to repetition instruction.     

新课程背景下化学教学中人文思想的渗透

通过对社会现状的介绍，阐述进行人文教育的必要性。在新课程明确指出人文教育重要性的基础上，探讨化学教师在教学中实施人文教育的途径和方法。     

矢量在初等数学中的应用

利用矢量,可以把三维欧氏空间的几何结构有系统的代数化,从而使某些初等数学问题更简洁地得以解决．就初等数学中常见的几类问题,给出了用矢量法解决的新思路、新途径．     

Motivational and affective determinants of self-regulatory strategy use in elementary school mathematics

The aim of the study was to investigate the relationships between elementary students’ reported use of self-regulatory strategies in mathematics and their motivational and affective determinants. Participants of the study were 344 fifth- and sixth-grade Greek students. Students were asked to complete self-reported measures regarding the strategies they use to self-regulate mathematics learning, their achievement goals in relation to mathematics, their self-efficacy concerning mathematics learning and achievement, the value they attribute to mathematics as a subject domain and their enjoyment of mathematics learning. Structural equation modelling confirmed a mediation model, that is, students’ mathematics self-efficacy, value beliefs about mathematics and enjoyment mediated the effects of achievement goals on reported strategy use. Results are discussed in terms of implications for elementary students’ self-regulated learning skills.     

初等数学与密码学

在中学里,新学科永远是中学学生感兴趣的一点,特别是现在网络时代,密码学更是中学时代学生想去探究的学科。本文将从中学基础的因子、模、同余、最大最因数介绍起,到深层次的逆元、群、多项式逐一讨论,且立足于中学数学与信息技术两门学科,通过一个个例子把中学数学中所蕴含的密码学基础知识传输给学生,以提高了学生兴趣,并为其它学科的学习打下基础。     

Improving instruction of future teachers: A multimedia approach that supports implementation of evidence-based vocabulary practices

Teacher education efforts must prepare future teachers to implement evidence-based practices that are effective for all students. A strand of practices necessary for reading competence is vocabulary instruction; however, teachers spend less time teaching vocabulary as opposed to other literacy skills. In this experimental study, researchers investigated a multimedia-based intervention, which pairs video with a Content Acquisition Podcast (i.e., video plus CAP) to teach preservice teachers (N = 49) to implement vocabulary practices with struggling students. Those who watched the video plus CAP used significantly more teaching behaviors associated with an evidence-based vocabulary practice during instruction than the comparison group.     

作文与词汇

能否恰当选用词汇，可看出作者驾驭语言的能力。有了丰富的词汇。才能表情达意。克服词汇贫乏的症结．最可行的办法是多读书、多摘录、多练笔；另一办法是注意口语。语言是随着社会发展而发展的。词汇相应地也会增多．所以我们也应该不断吸收新的词汇，用来丰富充实自己的语言“仓库”。同时应注意词汇的健康化和规范化。     

小学教育专业高等数学教学探析

从三个方面对小学教育专业高等数学的教学进行了探讨，即：充分展示数学思维过程；突出数学思想方法；突出高等数学与初等数学在内容上的互补性。     

在数学课上率先实行双语教学的可行性研究

本文分析了在数学课上实行双语教学的必要性和所具有的各种优势条件，提出率先在数学课上实行双语教学不仅是必要的，而且是可行的。     

Promoting science and technology in primary education: a review of integrated curricula

Integrated curricula seem promising for the increase of attention on science and technology in primary education. A clear picture of the advantages and disadvantages of integration efforts could help curriculum innovation. This review has focused on integrated curricula in primary education from 1994 to 2011. The integrated curricula were categorised according to a taxonomy of integration types synthesised from the literature. The characteristics that we deemed important were related to learning outcomes and success/fail factors. A focus group was formed to facilitate the process of analysis and to test tentative conclusions. We concluded that the levels in our taxonomy were linked to (a) student knowledge and skills, the enthusiasm generated among students and teachers, and the teacher commitment that was generated; and (b) the teacher commitment needed, the duration of the innovation effort, the volume and comprehensiveness of required teacher professional development, the necessary teacher support and the effort needed to overcome tensions with standard curricula. Almost all projects were effective in increasing the time spent on science at school. Our model resolves Czerniac’s definition problem of integrating curricula in a productive manner, and it forms a practical basis for decision-making by making clear what is needed and what output can be expected when plans are being formulated to implement integrated education.     

The influences of language of literacy instruction and vocabulary on the spelling of Spanish–English bilinguals

The relation of language of instruction and vocabulary to the English spelling of bilingual first graders receiving either English or Spanish literacy instruction and of monolinguals in English literacy instruction was explored. Only bilingual students in Spanish literacy instruction (SLI) exhibited Spanish-influenced spelling, indicating a powerful effect of language of literacy instruction. SLI without English literacy instruction (ELI) may be a prerequisite for the appearance of Spanish influences in English spelling. Spanish-influenced spelling appears to be a normal developmental phenomenon only for those bilingual first graders who have received no ELI. The students in ELI, on average, wrote more orthographically plausible English pseudowords than students in SLI, indicating that the students in SLI simply had not yet learned conventional spelling patterns in English. In addition, children with good Spanish vocabulary showed more Spanish-influenced spelling, while English vocabulary predicted more orthographically plausible English spellings. The relationship between English vocabulary and English spelling was similar for children instructed in Spanish and English. English vocabulary and literacy instruction both made unique, positive contributions to English pseudoword␣spelling, while Spanish literacy instruction played a more important role than Spanish vocabulary in the production of Spanish-influenced spelling in English.