如何培养小学生数学学习的情感

情感是人的需要是否得到满足产生的一种内心体验，是人对接触到的客观事务的态度的体验。情感伴随着学生学习的全过程，直接影响学生的学习动机、兴趣和效果。教师要用真挚的感情创设一种宽松和谐的学习氛围；活用教材，启迪学生的情感；巧用教材，调动学生的情感；还要采用小组合作、同伴互助的教学形式，激发学生的情感。     

促进学生全面发展的小学数学学习评价

建立促进学生发展的小学数学学习评价体系是小学数学教学改革的重要内容。依据现代教育理论和 新课程改革的基本理念,小学数学学习评价的措施和方法是:目标要明确,内容要全面,标准要多维,方法要多 样,主体要多元。     

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.     

Providing school-based learning in elementary school mathematics: the case of a professional development school partnership

Abstract

School–university partnerships also known as professional development school (PDS) partnerships provide potential for universities and schools to establish partnerships that can benefit university faculty, school teachers, university students, and school students. This study examines the impact of a PDS partnership in which the author served as a school-based mathematics coach for two years in a high-need elementary school. Data sources included interviews, surveys, and field notes from classroom observations. Inductive qualitative analyses which were situated in a multi-level framework for researching professional development found that teachers posed more cognitively demanding mathematical tasks and high-level questions in year two compared to year one of this project. Further, student achievement was noted on both state-wide and district-created assessments. Also teachers reported that the school-based approach to professional development led to some teachers taking on more informal leadership roles to support their colleagues’ mathematics instruction. Implications for school-based learning opportunities across the world include the need to establish specific university–school partnerships, and carefully designing research studies to examine the impact of these learning opportunities.     

浅析小学数学课堂自主创新性学习的教学对策

目前,小学生以独生子女为主,这些孩子从小就养成一种任性的性格,学习由着性子或者只对感兴趣的东西才去学习,这就造成他们学习上的被动性。为了克服他们被动学习的习性,教师应该从创立小学数学课堂自主创新性学习的教学模式,让学生积极主动地投入到知识的探索过程中去,使学生在轻松、愉快、民主、和谐的课堂氛围中,促进学生积极思维。     

Gender-related beliefs of teachers in elementary school mathematics

In this quantitative study, questionnaire data of fifty-two third- and fourth-grade teachers were analyzed using MANOVA tools. Teachers were asked to consider boys' and girls' achievement in mathematics, giving their views on the reasons for the students' successes and failures and describing their learning characteristics. Teachers thought that their average achieving girls were less logical than equally achieving boys. The girls were thought to profit less than boys from additional effort and to exert relatively more effort to achieve the level of actual performance in mathematics. Teachers rated mathematics as more difficult for average achieving girls than for equally achieving boys. With regard to girls, teachers attributed unexpected failure more to low ability and less to lack of effort than with boys. The results increase our understanding of stereotypical teacher beliefs that might help explain gender differences in achievement and in subsequent occupational choices.This revised version was published online in September 2005 with corrections to the Cover Date.     

Uses and effects of learner control of context and instructional support in computer-based instruction

The present study examines uses and effects of learner-control of the context or theme of practice examples on a statistics lesson in combination with learner control of the number of examples examined. Subjects were 227 undergraduate students assigned to 15 treatments formed by crossing five context conditions (learner control, education, business, sports, no-context) with three instructional support conditions (learner-control, maximum, minimum). No differences in achievement were attained as a function of either treatment variable. Findings showed, however, that learners who received preferred contexts (i.e., learner-control-context subjects) selected a greater number of examples than those who received prescribed contexts. In addition, achievement was positively related to the frequency with which subjects varied the number of examples selected across lessons. Despite the absence of achievement benefits, the learner-control-context strategy elicited highly favorable student reactions as a learning orientation.     

Student learning emotions in middle school mathematics classrooms: investigating associations with dialogic instructional practices

Emotions are central to how students experience mathematics, yet we know little about how specific instructional practices relate to students’ emotions in mathematics learning. We examined how dialogic instruction, a socially dynamic form of instruction, was associated with four learning emotions in mathematics: enjoyment, pride, anger, and boredom. We also examined whether these associations differed by student gender and prior mathematics achievement. The sample consisted of 1307 sixth through eighth grade students (51.6% female, 59.0% White, 30.8% African American, and 10.3% other race; 42.3% receive free/reduced price lunch) from 70 mathematics classrooms. Results indicated that teachers who used more dialogic mathematics instruction had students who reported more enjoyment and pride, and less anger and boredom. Males and low-achieving students reported more positive and fewer negative emotions with greater dialogic instruction compared to their female and high-achieving counterparts.     

Learner perceptions of the introduction of computer-assisted learning in mathematics at a peri-urban school in South Africa

This study responded to a national call to improve the outcomes in mathematics in the Grade 12 matriculation examination in South Africa by reporting learners’ perceptions of the introduction of computer-assisted learning in their mathematics classrooms. Three Grade 12 mathematics classes in a peri-urban school in South Africa were visited over a period of 4 months to observe the inclusion of a computer centre as part of the teaching of mathematics. Learner perceptions were obtained from (1) individual and group interviews and (2) an actual and preferred version of a learning environment instrument called the Computer-Assisted Learning Environment Questionnaire, which was developed for the South African context. Learners indicated that they considered application of computers as a positive step as it (1) increased their involvement in the mathematics classroom, (2) gave them more exercises in problem solving in mathematics, and (3) provided them with the opportunity to assess their own learning. However, a strong recommendation from this response is for more computers to be made available in order to allow learners to work individually and thereby be able to spend more time using the computers.     

The role of context in learning and instructional design

Context is a pervasive and potent force in any learning event. Yet instructional design models contain little guidance about how to accommodate contextual elements to improve learning and transfer. This paper defines context, outlines its levels and types, specifies some pertinent contextual factors within these types, suggests methods for conducting a contextual analysis and utilizing its results for instructional design, and outlines future issues for context-based instructional design. The incorporation of a contextual approach to instruction will make our design models systemic as well as systematic.     

Observing instructional quality in the context of school evaluation

Observational measures of instructional quality are used in both research and evaluation contexts. In European school evaluation systems, one main intended use of classroom observation results is to inform schools' instructional improvement efforts. This study examined the quality of such diagnostic information in the context of a school evaluation system in Germany. The factor analytic results indicate that the empirical structure of the observation instrument lacks correspondence with its original normative model but does mirror a five-factor model based on recent literature, including classroom management, two different aspects of student orientation, cognitive activation, and classroom assessment. The generalizability analyses show that both indicators and observers represent important sources of measurement error. Additionally, their magnitude is larger for shorter observations (lesson segments). At least two, sometimes three, observers and between five and ten indicators per dimension are needed to achieve sufficiently reliable results, but results importantly depend on which dimension of instructional quality is being assessed.     

The effects of instructional context and reasoning complexity on mathematics problem-solving

The focus of this study was on the effects of relevance in instructional context and reasoning complexity on mathematics problem-solving achievement, transfer, and attitude. Forty-six fifth graders participated in the five-day study. Students received either contextualized or decontextualized instruction involving either simple or complex reasoning. Two types of achievement questions were used, context-rich and context-poor, which required either single or multiple computational steps to solve. An interaction was found between complexity of treatment and complexity of questions. Students who studied simple problems in decontextualized contexts performed best on one-step questions, while students who studied complex problems in contextualized contexts performed best on multi-step questions (p = .003). A complexity effect was also found for student attitudes toward perceived lesson difficulty (p = .0001) as well as for perceived relevance of mathematics (p = .015). Students who studied simple problems perceived lesson difficulty and mathematics relevance more favorably than those who studied complex problems. These findings suggest that rich mathematical instructional contexts best support mathematics problem-solving, but simple, decontextualized instruction yields the most favorable attitudes.     

"问题探索"教学法--小学数学课堂实施创新教育初探

本文从对教材的改进、新授课中创新精神的培养、复习课中创新精神的发展3个环节介绍两年多来,在小学数学课上通过"问题探索"教学实施创新教育的尝试.     

Assessing elementary school support for inquiry

Increasingly in elementary schools, there has been a focus on the influence of school-level factors on students’ learning. The way in which the learning environment is organised in schools and classrooms is likely to influence students’ opportunities to carry out inquiry. Most studies have focused on the effects of the amount of schooling, rather than effects attributable to support for inquiry in the school context. This study clarifies aspects of school contexts that support inquiry at the school level and describes the development of an inventory to assess school contexts. The Primary School Characteristics Inventory has three components named Motivation for Student Inquiry, Organisational Structures to Support Inquiry and Structures to Support Inquiry Strategies in School. The instrument was effective for identifying schools with varying levels of support for inquiry, suggesting that some schools might need to modify the school context if students are to carry out inquiry in a self-directed way.     

Autonomy,beliefs and the learning of elementary mathematics teachers

Seven elementary teachers participated in a project designed to help them learn to teach mathematics according to reform recommendations. Teachers were provided opportunities to learn through both private reflection and public inquiry about their teaching and children's learning. The teachers’ instruction, reflection, and beliefs were studied. All of the teachers adopted some reform-based procedures including having children report problem-solving strategies. However, only three of them developed more complex practice in which children were involved in inquiry into one another's strategies. The groups had different beliefs about the autonomy of children to construct mathematics and their own autonomy to make instructional decisions.     

如何让小学数学课堂“活”起来

随着人们生活水平的不断提高,越来越多的人开始关注教育。作为教师,我们有必要深入讨论如何让小学数学课堂真正活起来。要让小学数学课堂真正活起来,必须精心设计课堂内容,激发学生学习的兴趣;营造宽松的课堂氛围,激发学生的主体性;科学的评价学生,促进学生学习的积极性。     

优化小学数学学习过程培养学生探索精神和创新素质(下)

本文围绕"如果调动学习主体,优化学习过程"探讨了4个方面的问题,提出①教学内容探索化;②教学过程动态化;③练习设计开放化;④学习氛围情感化.