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1.

Project Ga‐GEMS (Georgia's Project for Gifted Education in Math and Science) viewed the effect that placement in an integrated, hands‐on mathematics and science curriculum had on the achievement of academically talented high school students. For a two‐year period of time, students gifted in the areas of mathematics and science participated in a curriculum which incorporated higher‐level thinking skills and more real life laboratory experiences into mutually reinforcing mathematics and science lessons. After the conclusion of the two‐year program, Ga‐GEMS participants and a control group were given the mathematics and science sections of the ACT as they exited the tenth grade. The Ga‐GEMS students scored significantly higher on the Science Math Total, Pre‐Algebra/Elementary Algebra, Intermediate Algebra/Coordinate Geometry and Plane Geometry/Trigonometry sections of the ACT. To determine if the Ga‐GEMS students retained their higher scores throughout high school the SAT scores of both groups were compared as the students exited high school. Significant differences in the areas of total score and mathematics were noted. This study lends support for the use of a differentiated curriculum for educating gifted students in science and mathematics.  相似文献   

2.
Within a multitiered system of support (MTSS), students who struggle to learn mathematics often receive core instruction and supplemental intervention in different settings, with different teachers and different sets of curriculum materials, all of which can result in poor alignment. This curriculum crosswalk describes how three sets of materials commonly used to provide core instruction and intervention differ with regard to mathematics practices and vocabulary. The results indicate that there is little overlap among all three programs for the majority (n = 6) of the mathematics practices, and very little overlap in mathematics vocabulary (ranging from 6.3 to 24 percent). We also provide a set of research-based instructional recommendations intended to help teachers address gaps and improve alignment of core instruction and intervention.  相似文献   

3.
This study employed content analysis to examine 3 popular middle-grades mathematics curricula in the USA on the support they provide for teachers to implement concepts associated with variables in school mathematics. The results indicate that each of the 3 curricula provides some type of support for teachers, but in a varied amount and quality. More specifically, whereas the University of Chicago School Mathematics Project (UCSMP) curriculum provides support for teachers on several aspects of using variables in school mathematics, the support found in the Connected Mathematics 2 and the Math Connects curricula focused mainly on one conception of variables—namely, the use of variables as quantity that varies in the Connected Mathematics 2 curriculum and the use of variables as specific unknowns in the Math Connects curriculum. Overall, the UCSMP curriculum provides the most support for teachers, followed by the Connected Mathematics 2 curriculum, with the Math Connects curriculum recording the least support for teachers to enact variable concepts. It is worth pointing out that, although the 3 curricula collectively provide guidance for teachers to implement variable ideas within meaningful real-world contexts, the supports identified in the respective curriculum were not sufficient in addressing all of the areas that are essential for teaching the many concepts associated with variables in school mathematics effectively. Recommendations for curriculum developers and for international researchers with interest in the roles of variables in school mathematics are provided.  相似文献   

4.
In times of cultural change, education plays an especially important role. The writer suggests that even mathematics curricula, which have traditionally been considered culture-free, have a role to play in fostering mutual understanding amongst members of different cultures, after a period of cultural upheaval. Anthropological and educational sources are used to suggest points of relevance when a mathematical curriculum is designed for multi-cultural classrooms.The substance of this paper is the same as that in an article written for the journal,Cultural Dynamics.  相似文献   

5.
This article seeks to examine gender differences across the mathematics curriculum in the various topic areas and mathematical abilities. It is suggested that a profile of these differences, when compared with students at different grade levels or across curricula, would be more fruitful for classroom teachers and curriculum developers. Breakdown and discriminant function statistics reveal that boys performed better than girls in Geometry and excelled in comprehension, and solving routine and non-routine problems. Girls were better at mathematical manipulation problems.  相似文献   

6.
This essay reviews the principles motivating contemporarycritical mathematics discourses. Drawing from varied critical discourses including ethno-mathematics, critical theory, post-structural theory, and situated and ecological cognition, the essay examines the pragmatics of critiques to the privileged role of school mathematics in the era of globalization. Critiques of modern school curricula argue that globalization practices linking education to technological and economic development are increasing, and the curriculum is being re-defined through discourses of privatization, national standards, and global competitiveness. Globalization has reinforced the utilitarian approach to school mathematics and the Western bias in the prevailing mathematics curricula, as well as helped to globalize pervasive mathematical ideologies. In most instances, a newfound status that mathematics is enjoying in this era of globalization is not well deserved, as school mathematics can no longer be considered culturally, socially, politically, nor economically neutral. In particular, school mathematics is increasingly critiqued as a cultural homogenizing force, a critical filter for status, a perpetuator of mistaken illusions of certainty, and an instrument of power. With such concerns it is becoming more evident that mathematics learning and education have implications for building just and democratic societies. As an African female scholar who is now living in Canada, I reflect on what the critical stance might mean for contexts with which I am familiar. I discuss the challenges of school mathematics with a view to improving curriculum and pedagogy so as to raise the awareness of teachers and learners to the questionable assumptions from which mathematics derives its prestige. The mathematics curriculum is central to cultivating values as well as fostering the conscientization of learners.  相似文献   

7.
This paper aims to investigate the ways in which four Grade 5 teachers perceived and implemented a new constructivist mathematics curriculum, after all their past experience of traditional mathematics in Taiwan. The meaning and indicators of constructivist and traditional mathematics were explored and developed based on reviews of three countries’ mathematics curricula and studies on mathematics teaching. Through interviews and classroom observations, teachers’ practices were analyzed in these terms, separated into cognitive and affective aspects. The teachers were found to meet the new curriculum halfway, to address cognitive issues more effectively than affective ones, and to implement a common curriculum differently. The results support the need to analyze the teaching of mathematics in relation to affective as well as cognitive elements, and are discussed in relation to mathematics teaching internationally.  相似文献   

8.
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.  相似文献   

9.
ABSTRACT

With the aid of longitudinal country-level data from five IEA TIMSS assessments (1995–2011), the current study addresses the issue of the globalisation of curricula and achievement. To explore the hypothesis of global convergence, we study performance in four subdomains of mathematics. Using regression with fixed effects for countries, we consider whether the variation of subdomain scores decreases globally over time. Additionally, we explore qualitative differences in performance profiles using latent class analysis. Our results provide little evidence for a global harmonisation of student achievement. Rather, for regions with a similar language and culture, we observe similar strengths and weaknesses in mathematics content areas. Furthermore, these patterns remain stable over time. Directions for future research include the exploration of global trends in aspects of attained curricula for other subjects, and the use of information on school achievement.  相似文献   

10.
The political importance of mathematics in post-16 education is clear. Far less clear is how mathematics does and should relate to vocational education. Successive mathematics curricula (e.g. core skills, key skills) have been developed in England with vocational learners in mind. Meanwhile, general mathematics qualifications remain largely disconnected from vocational learning. Following a brief historical survey of mathematics within vocational education, the paper presents findings from a nested case study of student groups in three large Further Education colleges in England. The primary unit of analysis herein is student groups learning Functional Mathematics in two vocational areas: construction and hairdressing. We show how approaches to organising teaching, developing connected curricula and classroom pedagogy tend to isolate or integrate mathematics from/with the vocational experience. Integrated approaches are shown to impact positively on student engagement and attitudes to learning mathematics. The paper concludes by discussing the potential impact of academic qualifications displacing vocationally relevant mathematics.  相似文献   

11.
刘京莉 《教育学报》2003,(12):20-23
在澳门教育暨青局与北京师范大学合作项目——澳门数学课程改革中 ,澳门实验学校的教师们转变了教育观念 ,实现了教学方式的变革 ;教师们通过教育科研 ,对教学过程的设计、教学策略的选择、教学评价等进行了理性的思考 ,从而使实践经验得到了理论的升华 ;随着课改的深入 ,教师们结合地方特色、学校特色开发了校本课程 ,教师们在课程改革中成长  相似文献   

12.
The purpose of this paper is to critically examine the changes that took place in school mathematics knowledge for pupils aged six and seven (first grade of Greek elementary school) and its pedagogical approach, which took shape following the reforms of the mathematics curricula in 1982 and 2003. Our analysis is based on Bernstein’s theoretical framework on pedagogic discourse and Dowling’s theoretical framework on textual domains. The results showed that there are differences between the 1982 and 2003 reforms, in terms both of the content of mathematics knowledge, as well as of the forms of pedagogic interaction between the teacher and the pupil.  相似文献   

13.

This paper traces the development of the education support grant provision for mathematics teaching. The rationale behind this DES initiative is discussed, and the paper provides evidence of the range of activities undertaken by ESG teams in various local authorities. An analysis of the variety of working models is provided across five LEAs. Results of interviews conducted with advisory teachers and teachers in participating schools are reported in an attempt to portray the nature of the support work. In the concluding section, it is argued that LEAs should consider basing their in‐service policy for mathematics teachers around projects of this nature, which have provided a much needed catalyst for curriculum change in the post‐Cockcroft era.  相似文献   

14.
Competence in early mathematics is crucial for later school success. Although research indicates that early mathematics curricula improve children's mathematics skill, such curricula's impacts on oral language and early literacy skills are not known. This project is the first to investigate the effects of an intensive pre-kindergarten mathematics curriculum, Building Blocks, on the oral language and letter recognition of children participating in a large-scale cluster randomized trial project. Results showed no evidence that children who were taught mathematics using the curriculum performed differently than control children who received the typical district mathematics instruction on measures of letter recognition, and on two of the oral language (story retell) subtests, sentence length and inferential reasoning (emotive content). However, children in the Building Blocks group outperformed children in the control group on four oral language subtests: ability to recall key words, use of complex utterances, willingness to reproduce narratives independently, and inferential reasoning (practical content).  相似文献   

15.
The purpose of this pilot study was to explore the impact of mathematics and reading learning difficulties on the mathematics‐vocabulary understanding of fifth‐grade students. Students (n = 114) completed three measures: mathematics computation, general vocabulary, and mathematics vocabulary. Based on performance on the mathematics computation and general vocabulary measures, students were categorized with no learning difficulty (i.e., typical), mathematics difficulty without reading difficulty (MD‐only), reading difficulty without mathematics difficulty (RD‐only), and combined mathematics and reading difficulties (MDRD). On the mathematics‐vocabulary measure, students with MD‐only or RD‐only scored significantly lower than typical students, and students with MDRD demonstrated significantly lower performance than students with MD‐only or RD‐only.  相似文献   

16.
Components of early number sense, as identified in two Delphi studies and in the number sense literature related to mathematics difficulties, were assessed for 176 children in preschools and childcare centres across one local government area in Sydney, Australia, using tasks or modifications of tasks reported in the number sense literature. In addition, the children’s receptive vocabulary was measured using The Peabody Picture Vocabulary Test (third edition) and math reasoning was measured using Woodcock‐Johnson III Tests of Achievement. Although the children demonstrated a broad range of skills, there were no significant differences between children attending childcare and preschools for any of the measures. However, boys performed significantly better than girls in quantitative concepts and girls performed better than boys in subitising. In discussing the data, a comparison is made of the skills demonstrated by children and skills that were highlighted in the two Delphi studies and in the early number sense literature as being essential components of number sense prior to school entry. Implications for kindergarten mathematics curricula and approaches to the teaching of early number skills are discussed.  相似文献   

17.
Abstract

Successful mathematics learning requires the efficient processing of the information that defines the arithmetic tasks. Information processing relates to the ways in which individuals make sense of, or interpret, the information to which they are exposed.

The present study examines four aspects of information processing and their relationship for whole number computation for third and fifth grade students. The aspects included students’ ability to (1) manipulate numerals, (2) encode number sentences , (3) recognise order among numbers and (4) perform an arithmetic procedure.

Information processing in each area correlated with computational skill. At risk students were less efficient in their information processing. As well, the complexity of the numerical information affected how well the students could use it. The more complex the numerical information was, the greater the load it placed on the learner. The implications for diagnosing low mathematics achievement are discussed.  相似文献   

18.
There is a need to identify students' early attitudes toward mathematics and science to better support their long-term persistence in science, technology, engineering, and mathematics (STEM) careers. Seventh graders from a nationally representative sample (N = 2,861) were classified based on their responses to questions about their attitudes toward mathematics and science using latent class analysis. Four distinct groups of students that differed in terms of their attitudes were identified. There were relationships between attitudinal group membership, demographic characteristics, mathematics and science achievement, and STEM career attainment. Females and underrepresented minorities were more likely to be in the positive attitude group. However, despite these early positive attitudes, females and underrepresented minorities were less likely to be employed in a STEM career some 20 years later. Information about student interests organized in this manner can be used to better target specific interventions to support and encourage persistence in STEM careers.  相似文献   

19.

This study investigated how 46 pre-service teachers (PSTs) planned for differentiation of instruction in mathematics. Content analysis was utilized to explore the differentiation strategies included and student characteristics considered in PST plans and how PSTs used differentiation strategies and student characteristics to differentiate lesson content, process, product, and environment. In addition, a rubric was designed and utilized to analyze the level of detail PSTs provided in their plans. Results indicated that overall, PSTs were developing in their planning for differentiation of instruction, using general terms to describe the modifications they would make to meet student needs. Moreover, results revealed that PSTs included strategies to differentiate lesson content and environment most often in their plans and frequently considered student readiness levels when planning for differentiation. Findings also revealed that PSTs need support in learning how to plan for differentiation based on student cultural backgrounds. Implications for mathematics teacher preparation are discussed.

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20.
Ability stereotyping in mathematics   总被引:1,自引:0,他引:1  
Ability is a concept central to the current practice of mathematics teaching. However, the widespread view of mathematics learning as an ordered progression through a hierarchy of knowledge and skill, mediated by the stable cognitive capability of the individual pupil, can be sustained only as a gross global model, and is of limited value in describing and understanding the particular cognitive capabilities of individual pupils in order to plan, promote and evaluate their learning. In effect, individual pupils, and groups of pupils, are subject to ability stereotyping; characterisation in terms of a summary global judgement of cognitive capability, associated with overgeneralised and stereotyped expectations of mathematical behaviour, and stereotyped perceptions of an appropriate mathematics curriculum.  相似文献   

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