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1.

This study analyzes six seventh grade Israeli mathematics textbooks, examining (1) the extent to which students are required to justify and explain their mathematical work, and (2) whether students are asked to justify a mathematical claim that is stated by the textbook or a mathematical claim that they themselves generated when solving a problem. Two different units of analysis were used to analyze two central topics in the seventh grade curriculum as follows: (1) equation solving in algebra and (2) triangle properties in geometry. The findings indicate that all six textbooks had considerably larger percentages of geometric tasks than algebraic tasks, which required students to justify or explain their mathematical work. Moreover, considerable differences were found among the six textbooks regarding the percentages of tasks that required students to justify and explain in both topics, but more so with the algebraic topic. Analysis of whether the textbook tasks required students to justify a mathematical claim that is stated by the textbook or a mathematical claim that the students themselves generated also revealed substantial differences among the textbooks. These findings are discussed, as well as the research methods used, in light of relevant literature.

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2.
This study analyzes six seventh grade Israeli mathematics textbooks, examining (1) the extent to which students are required to justify and explain their mathematical work, and (2) whether students are asked to justify a mathematical claim that is stated by the textbook or a mathematical claim that they themselves generated when solving a problem. Two different units of analysis were used to analyze two central topics in the seventh grade curriculum as follows: (1) equation solving in algebra and (2) triangle properties in geometry. The findings indicate that all six textbooks had considerably larger percentages of geometric tasks than algebraic tasks, which required students to justify or explain their mathematical work. Moreover, considerable differences were found among the six textbooks regarding the percentages of tasks that required students to justify and explain in both topics, but more so with the algebraic topic. Analysis of whether the textbook tasks required students to justify a mathematical claim that is stated by the textbook or a mathematical claim that the students themselves generated also revealed substantial differences among the textbooks. These findings are discussed, as well as the research methods used, in light of relevant literature.  相似文献   

3.
孙桐 《考试研究》2022,(1):66-75
借鉴社会认知框架中的“认知效度”和“语境效度”框架,对《全新版大学英语听说教程》(第二版)全6册教材中听力测试任务的效度进行评价。研究发现,教材中的听力习题对不同层次的听力认知能力考查不够全面,对听力元认知策略的培养体现不够突出,对作答过程中的书写负担控制不够。此外,建构性作答方式听力任务的设计有待系统性改进,听力语篇真实性有待提升,听力和口语任务的衔接不够紧密。针对这些问题,建议听力任务设计遵从科学严谨的测试编写方法和原则,以提升听力习题的认知效度和语境效度,并在此基础上进一步考察其在实际教学中的使用效果及师生反馈。  相似文献   

4.
Changing perspectives on mathematics teaching and learning resulted in a new generation of mathematics textbooks, stressing among others the importance of mathematical reasoning and problem-solving skills and their application to real-life situations. The article reports a study that investigates to what extent the reform-based ideas underlying these mathematical textbooks impact the current teaching of mathematics. Two problem-solving lessons were videotaped in 10 sixth-grade classrooms and a coding scheme was developed to analyze these lessons with regard to three aspects of the classroom culture that are assumed to enhance students’ mathematical beliefs and problem-solving competencies: (1) the classroom norms that are established, (2) the instructional techniques and classroom organization forms, and (3) the set of tasks students are confronted with. Two instruments were administered to measure students’ beliefs about learning mathematical word problem solving, and to assess their problem-solving processes and skills. The results indicate that some reform-based aspects seemed to be easier to implement (e.g., a strong focus on heuristic skills, embedding tasks in a realistic context) than others (e.g., the use of group work, an explicit negotiation of appropriate social norms).  相似文献   

5.
Coordination of multiple representations (CMR) is widely recognized as a critical skill in mathematics and is frequently demanded in reform calculus textbooks. However, little is known about the prevalence of coordination tasks in such textbooks. We coded 707 instances of CMR in a widely used reform calculus textbook and analyzed the distributions of coordination tasks by chapter and for the type of task demanded (perception vs. construction). Results suggest that different coordination tasks are used earlier and later in learning and for different topics, as well as for specific pedagogical and scaffolding purposes. For example, the algebra-to-text coordination task was more prevalent in the first chapter, suggesting that students are being eased into calculus content. By contrast, requests to construct graphs from algebraic expressions were emphasized in later chapters, suggesting that students are being pushed to think more conceptually about functions. Our nuanced look at coordination tasks in a reform textbook has implications for research in teaching and learning calculus.  相似文献   

6.
This study investigated the connection between language (i.e., word comprehension, reading comprehension and spelling skills) and mathematical performance. The sample consisted of grade nine students (N?=?810) in 14 lower secondary schools in the Swedish speaking areas of Finland. Standardized tests for reading and writing skills, and mathematical performance were used. Based on the mathematics test the students were categorized into eight performance groups. Many students had problems in both mathematics and language performance. On the whole data level reading skills were a powerful predictor for math performance, the reading factor explained 52% of the variance in the model. Hence, the reading skills focusing on understanding of the text are important in solving mathematical tasks at the end of compulsory school.  相似文献   

7.
采用内容分析法和比较法,对湘教版和人教A版普通高中数学选择性必修教科书数学建模内容从内容分布与呈现、情境—问题、建模过程、信息技术使用四个方面进行比较分析。研究发现:两版教科书都以专题形式呈现数学建模内容,问题背景比较复杂、问题类型均为开放式,建模过程注重问题分析和模型建立、关注模型检验,信息技术主要应用在模型建立与求解和模型检验环节。湘教版4个建模专题与三大主线相融合,突出数学建模过程的一般性和案例的示范性,问题情境较为丰富,问题表述形式多样,信息技术软件选择具有开放性;人教A版1个建模专题与统计相联系,突出统计建模案例的示范性和对建模选题做题的指引性,问题情境与科学问题相联系,信息技术软件操作具有示范性。基于此,提出教科书使用建议:一是用好教科书中数学建模专题,发挥示范引领作用;二是组织好课题研究活动,发挥师生能动性。  相似文献   

8.
Since inquiry was first introduced to science education, a lot of inquiry-based tasks have appeared in textbooks for supporting an inquiry-based approach. These tasks have great potential to direct the implementation of an inquiry-based approach, as teachers rely heavily on the use of existing instructional materials in most K-12 classrooms. However, these tasks would not actually take effect unless they could accomplish the mission of assisting in the achievement of the educational goals of an inquiry-based approach, for which it is necessary to assess the design quality of inquiry-based tasks in textbooks. Content analysis is an effective way to evaluate the design quality of textbooks. This study adopted the instrument – the Inquiry-based Tasks Analysis Inventory (ITAI), which fits the purpose and has strong reliability and validity – to analyse the inquiry-based tasks in current high school biology textbooks in Mainland China. The results show that (1) some of the inquiry-based tasks separate the inquiry process from scientific content, (2) current textbooks do not present balanced dispositions to use inquiry process skills, and (3) inquiry-based tasks in current textbooks do not reflect a proper understanding about scientific inquiry. The findings call for revisions of inquiry-based tasks in textbooks and indicate the ambiguous understanding about inquiry that may be held by the textbook authors. What is more, the problems revealed by this study are very similar to those found in previous studies in other regions, which highlights the need for continuous attention to the evaluation of inquiry-based tasks in textbooks.  相似文献   

9.
Task orientation is currently a prominent concept under discussion in primary school didactics. It focuses on tasks along which pupils acquire competences on distinct levels of competence. The qualitative empirical study TAPSE (Textbook Analysis in Primary Science Education) pursues the question which conception of task orientation is present in current textbooks in primary science education. The study follows two foci: (a) The introduction of a new category system for the analysis of the task-orientation potential of tasks, based on the further development of existing category systems for analyzing tasks; and (b) the analysis of 994 task statements in science textbooks with respect to the didactic quality of their task orientation. The sample included nine primary science textbooks, four from Germany, and five from Luxembourg. Textbooks were selected from the most frequently sold series in the respective country. All tasks of the textbooks were analyzed deductively and inductively by four coders in three steps: (a) Identifying tasks with task-oriented potential; (b) itemizing different types of task-orientation potential; and (c) comparing the textbooks with respect to country- and period-specific manifestations of task orientation. Analysis indicated that (a) there are few tasks which meet the criteria of task orientation; (b) distinct types of task orientation can be generated, among which implicit forms dominate; and (c) differences occur in the characteristics of task orientation between older and newer textbooks as well as between German and Luxembourgish ones. Central points of discussion ensue from this: The need to develop models for social and cognitive activation for tasks, challenges for professional development for teachers, and support for pupils—in particular high achieving heterogenization.  相似文献   

10.
This paper describes the implementation of extended analysis tasks (EATs) in a required mathematics course for prospective high school mathematics teachers, and investigates the mathematical discovery promoted through engagement with these tasks. Extended analysis tasks are designed to move students beyond the problem context to the underlying mathematical structure of the problem. The results of this study revealed that with careful implementation, these tasks were effective for generating powerful mathematical thinking in preservice mathematics teachers, improving their problem solving, and generally enhancing the habits-of-mind exhibited by successful mathematicians (Carlson & Bloom, 2005).  相似文献   

11.
Looking at recent changes in the educational policy context, it is difficult to underestimate the central role of the principal. Principals must simultaneously perform different roles and implement activities of a varied nature. As an ‘instructional leader’, he or she must be able to create supportive links between the school and the classroom level. Individual learning and teachers’ professional development must be linked to, and supported by, an appropriate organizational development. As a ‘project manager’, the principal is expected to develop and implement a specific plan in order to solve particular problems indicated by the inspectorate. Both tasks — instructional leader and project manager — are illustrated in this chapter.  相似文献   

12.
Meta-analysis has become one of the most powerful and popular tools for investigating gender differences. Two meta-analyses of gender differences in mathematical tasks, Friedman (1989) and Hyde, Fennema, and Lamon (1990), are reviewed here. They provide evidence that these gender differences are declining over time. Since 1975, scores on the quantitative section of the Scholastic Aptitude Test echo this trend. A new meta-analysis of correlations of spatial and mathematical tasks is reported in this chapter. Sherman's (1967) hypothesis that a male advantage in spatial ability produces a male advantage in mathematical tasks has inspired an abundance of studies: these, along with factor-analytic and more recent psychometric contributions, form the core of this research synthesis. Both spatial and mathematical tasks have been categorized, and correlations within different categories are examined separately. For the most part, results are not consistent with the theory that spatially-based skill underlies mathematical thought.  相似文献   

13.
语文综合性学习有助于实现学科统整逻辑和经验统整逻辑的统一,义务教育统编语文教材和普通高中统编语文教材均高度重视语文综合性学习设计。针对语文综合性学习实践中存在的问题,其设计需要遵循两种理路。一是“逻辑理路”,包括四个步骤:基于课程标准确定学习目标;围绕学习目标设计活动任务;依据活动任务开发评价工具;运用评价工具引领学习活动。二是“要素理路”,包括六个要素:情境、任务、过程、支架、评价、反思。  相似文献   

14.
This study analysed the effectiveness of presenting mathematical problems as ‘authentic’, which simulated the main aspects of situations in which students are usually involved. To do so, four independent variables were considered: level of mathematical difficulty (easy or difficult); rewording: standard problems (similar to those presented in textbooks), authentic and containing irrelevant situational information; mathematical ability (measured by means of the BADyG test); and reading comprehension level (measured with the comprehension task from the PROLEC-R test). The dependent measure was the success rate of a sample of 156 primary education children (grades four, five and six) in solving each kind of word problem. The results showed that the authentic versions of difficult problems were solved more successfully than other versions by students with high levels of mathematical aptitude and reading comprehension. That means that authentic wording is useful when children are able to understand the added information and have the mathematical knowledge necessary to interpret it.  相似文献   

15.
Special needs educators (SNEs) have important roles in many education systems. However, their roles are often poorly defined, and differ greatly both between and within education systems. Studies show that SNEs have diverse tasks, have problems defining their jurisdiction, and approach special support with different perspectives than other professions. Here, the aim is to explore what Swedish SNEs express regarding their occupational role and jurisdiction, utilising 676 free text responses to an open question in a total population survey. The results illustrate that SNEs often have to take on tasks they do not view as appropriate and that they often experience misunderstanding from head teachers and colleagues about their roles and tasks, and that they risk being replaced by other professions. Some explanations can be found in vague legal definitions of their jurisdiction and the necessity of adaption to the local school context. The results are interpreted using Abbott’s theory of jurisdiction and Evetts’ distinctions of professionalisation and professionalism. The study confirms results from prior research to a high degree but adds further nuance and dimensions to them with formulations from active professionals.  相似文献   

16.
The purpose of this study was to examine the content of seven high school chemistry textbooks for curriculum balance and emphasis on the following aspects of scientific literacy: (a) science as a body of knowledge, (b) science as a way of investigating, (c) science as a way of thinking, and (d) the interaction among science, technology, and society. In addition, the number of textbook pages, vocabulary terms, pictures, questions, and problems at the end of the chapter were determined. The textbook is an important teaching aid in high school chemistry courses, which conveys some of the information that students receive and influences how students perceive this subject. The majority of chemistry textbooks we analyzed stress science as a body of knowledge, place some emphasis on science as a way of investigating, have practically eliminated science as a way of thinking, and devote very little text to the interaction among science, technology, and society. Furthermore, these are voluminous books that range in length from 466 to 729 pages, with as many as 60 questions per chapter.  相似文献   

17.
The sociocultural context in which children acquire and use everyday mathematics was studied in Brazilian shantytown communities. Children's developing mathematical abilities and use of currency in solving commercial problems were investigated. Interviews with the parents of 105 children from 4 to 14 years of age indicated that, when sent to make purchases at local stands, the problems entailed in the responsibilities parents assigned to children involved greater arithmetical complexity with increasing age. Children's accuracy and strategy use on arithmetic tasks similar to the problems encountered in commercial transactions revealed: ( a ) many children used currency to aid their problem solving; ( b ) with increasing age, currency use declined; and ( c ) children's currency use progressed from global estimates to the mental decomposition and manipulation of currency values. The mathematical complexity of children's commercial transactions correlated significantly with their mathematics performance even when age, grade in school, and years of schooling were statistically controlled The results provide evidence that by adjusting the mathematical complexity of children's commercial transactions, parents facilitate connections between children's developing competence and their everyday activities.  相似文献   

18.
This study analyses whether the primary school mathematics textbooks from two Spanish publishers show a varied instructional diet of addition and multiplication problems at different levels of complexity. To do so, it analyses the problems in all the primary grades by the publishers Santillana and SM according to two levels of complexity: (a) procedural (number of steps needed to solve the problem); and (b) semantic/mathematical (addition or multiplication structures, with their different subtypes). The results show that: (a) these problems are so simple that the books themselves cannot be regarded as a sufficient tool to teach students to solve the more complex problems; and (b) if we compare them with previous studies, the design of the problems has hardly changed in 10 years. These results show that the variety of problems in books should be expanded both procedurally and semantically/mathematically, and teachers should be given assistance to compensate for these shortcomings when using these textbooks in class.  相似文献   

19.
Math textbooks, which usually represent the mathematics curriculum, seem to be linked to the poor math performance of U.S. students. The major shortcomings of math textbooks are described in this article; then an alternative perspective is offered (the sameness analysis), along with research conducted with students with learning disabilities and at-risk students. The article then presents a detailed illustration of the sameness analysis--how to teach the addition-subtraction and multiplication-division relationships and their interrelationships in the context of solving word problems in mathematics.  相似文献   

20.
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