共查询到20条相似文献，搜索用时 31 毫秒
1.
In this paper, we describe the work by a team of university and public school mathematics educators to design mathematics
assessment tasks that are effective for students who have been identified at risk in mathematics, through their failure on
a state mathematics assessment. We have developed assessment tasks that have the very best chance to elicit the most mathematical
knowledge possible, but are closely tied to the school curriculum and practical enough to be administered by classroom teachers.
We offer some perspectives on the need for alternative mathematics assessment for at-risk students, along with the dangers
inherent in this undertaking. Some practical design considerations are discussed and examples of student responses to a mathematics
assessment scenario are given. Finally, policy issues related to authentic assessment are discussed. 相似文献
2.
This study examined how a task-focused, year-long mathematics professional development program influenced elementary school teachers’ knowledge, beliefs, and practices. Participants completed 84 h of professional development over 13 months that were focused on exploring, modifying and implementing cognitively-demanding mathematical tasks. Using a multi-methods approach, teacher-participants completed pre- and post-measures of mathematical knowledge for teaching, teachers’ beliefs about teaching and learning mathematics, and teachers’ self-reports of enacted instructional practices. Further, three teacher-participants were randomly selected to be observed 3 times over the course of the school year. Data analyses indicated that the professional development had a statistically significant positive impact on participants’ mathematical knowledge for teaching, use of student-centered instructional practices, and beliefs towards mathematics as a subject area. Further, the observed teachers enacted some high-level mathematical tasks and questions, but these were more visible at the end of the study compared to the beginning of the study. Implications for future work are also shared. 相似文献
3.
Ibrahim Bayazit 《International Journal of Science and Mathematics Education》2013,11(3):651-682
This study examines new Turkish elementary school mathematics textbooks to provide perspectives on the quality of the tasks related to the proportion concept and the ways they are presented. Tasks were analysed for several dimensions with a particular focus on their level of cognitive demands (LCD). Tasks were distinguished in two groups in terms of LCD: lower-level demand and higher-level demand. The findings revealed that 75 % of the tasks were related to higher-level demand in that they requested a certain level of interpretation, required connecting knowledge and procedures related to each other, demanded responses with some explanation and reinforced students’ non-algorithmic thinking. Only 25 % of the tasks were related to a lower-level demand, and these tasks could be resolved by recalling and implementing rules, procedures and factual knowledge without reflecting upon the meaning behind them. Most of the tasks were presented in multiple representations and framed in non-mathematical contexts. All these task characteristics indicate that the new elementary school textbooks have the capacity to promote students’ proportional reasoning. The findings also inform the international community about crucial aspects of the curriculum reforms in Turkey and provide suggestions for teachers and textbook writers concerning the quality of the tasks and their selection and implementation in the classrooms. 相似文献
4.
In this study we investigate a strategy for engaging high school mathematics teachers in an initial examination of their teaching in a way that is non-threatening and at the same time effectively supports the development
of teachers’ pedagogical content knowledge [Shulman (1986). Educational Researcher, 15(2), 4–14]. Based on the work undertaken by the QUASAR project with middle school mathematics teachers, we engaged a group
of seven high school mathematics teachers in learning about the Levels of Cognitive Demand, a set of criteria that can be
used to examine mathematical tasks critically. Using qualitative methods of data collection and analysis, we sought to understand
how focusing the teachers on critically examining mathematical tasks influenced their thinking about the nature of mathematical
tasks as well as their choice of tasks to use in their classrooms. Our research indicates that the teachers showed growth
in the ways that they consider tasks, and that some of the teachers changed their patterns of task choice. Further, this study
provides a new research instrument for measuring teachers’ growth in pedagogical content knowledge.
An earlier version of this paper was presented at the American Educational Research Association Annual Meeting, New Orleans,
LA, April 2002. 相似文献
5.
The present study addressed two research questions: (a) the extent to which students who were exposed to meta-cognitive instruction
are able to implement meta-cognitive processes in a delayed, stressful situation, in our case—being examined on the matriculation
exam; and (b) whether students preparing themselves for the matriculation exam in mathematics, attain a higher level of mathematics
achievement and meta-cognitive awareness (knowledge about cognition and regulation of cognition) as a result of being exposed
to meta-cognitive instruction. Participants were 61 Israeli high school students who studied mathematics for four-point credit
on the matriculation exam (middle level). About half of the students (N = 31) were assigned to meta-cognitive instruction, called IMPROVE, and the others (N = 30) studied with no explicit meta-cognitive guidance (control group). Analyses included both quantitative and qualitative
methods. The later was based on students’ interviews, conducted about a couple of months after the end of the intervention,
immediately after students completed the matriculation exam in mathematics. Results indicated that IMPROVE students outperformed
their counterparts on mathematics achievement and regulation of cognition, but not on knowledge about cognition. Furthermore,
during the matriculation exam, IMPROVE students executed different kinds of cognitive regulation processes than the control
students. The theoretical and practical implications of the study are discussed. 相似文献
6.
Mary E. Brenner 《Educational Studies in Mathematics》1998,36(2):123-155
This paper examines how the inclusion of everyday mathematics into classroom instruction can make mathematics more meaningful to students. The concept of mathematical meaningfulness is reviewed and then compared to the experiences of children learning about money at home and at school. The empirical study used interviews and observations to determine what activities Hawaiian children from preschool through second grade did with money at home, while shopping and during classroom lessons. The interview data are used to show what kinds of knowledge children derived from these experiences at different ages. This everyday knowledge is compared to what children were expected to learn about money in school. The data support the conclusion that certain kinds of differences between everyday and school mathematics can make the inclusion of everyday mathematical topics in classrooms problematic. The paper concludes with a discussion of how everyday mathematics can be more profitably included in the curriculum, with examples from several mathematics programs. 相似文献
7.
This study is grounded in the theoretical position that solving problems in different ways creates mathematical connections
when learning and teaching mathematics. It acknowledges the central role teachers play in providing students with learning
opportunities, and it is based on the empirical finding that mathematics teachers are reluctant to solve problems in different
ways in the classroom. In this paper we address the contradiction between theory-based recommendations and school mathematics
practice. Based on analysis of individual interviews and two group meetings with 12 Israeli secondary school mathematics teachers,
we demonstrate that in the context of multiple-solution connecting tasks this discrepancy is caused by the situated nature
of the teachers’ knowledge. We also reveal the complex relationship between different types of teacher knowledge and argue
the significance of developing a common language between members of the mathematics education community, including teacher
educators and researchers.
The names of the teachers have been changed to protect their privacy. 相似文献
8.
Margot Taal 《High Ability Studies》1991,1(1):42-46
Questionnaires concerning the self‐concept and evaluations of maths and French, as well as an intelligence test, were administered to secondary school students more than six months before they had to decide whether or not to take maths courses during the following school year. At the same time their school grades for maths and French were recorded. Students’ decisions were related to self‐concept, evaluations of maths and French, and aptitude measures, by means of discriminant analyses. Results indicated that sex, in combination with students’ (positive) evaluations of mathematics, their achievements in mathematics and their intellectual abilities, as well as a focus on French and self‐concept of French abilities, could adequately predict their choice of mathematics courses. No interaction effects were found between sex and the other predictor variables. These results suggest that stimulating more girls to choose mathematics during their secondary school years should focus upon achievement, self‐concept and evaluations of mathematics in comparison with other options. 相似文献
9.
This paper describes a research project whose major aim was to evaluate first-year teacher education students' understanding of subject matter knowledge in the domain of area measurement. In contrast to many previous approaches to evaluating teacher education students' subject matter knowledge, the approach adopted in this study not only focused on the student teachers' substantive knowledge but also on their knowledge about the nature and discourse of mathematics, their knowledge about mathematics in society and their dispositions towards mathematics. To this end, each student was clinically interviewed whilst engaged on a set of eight tasks that were developed for the study. The development of the tasks was a major component of the study and this is described in detail. The results of the tasks are given and the paper concludes with a discussion of the findings. This discussion focuses primarily on the implications that these results have for preservice mathematics education courses. 相似文献
10.
David Ben-Chaim Yaffa Keret Bat-Sheva Ilany 《Journal of Mathematics Teacher Education》2007,10(4-6):333-340
In this study we created, implemented, and evaluated the impact of proportional reasoning authentic investigative tasks on
the mathematical content and pedagogical knowledge and attitudes of pre-service elementary and middle school mathematics teachers.
For this purpose, a special teaching model was developed, implemented, and tested as part of the pre-service mathematics teacher
education programs conducted in Israeli teacher colleges. The conclusion of the study is that application of the model, through
which the pre-service teachers gain experience of and are exposed to authentic investigative proportional reasoning tasks
with incorporation of theory (reading and analyzing relevant research reports) and practice, leads to a significant positive
change in the pre-service teachers’ mathematical content and pedagogical knowledge. In addition, improvement occurred in their
attitudes and beliefs towards learning and teaching mathematics in general, and ratio and proportion in particular. 相似文献
11.
创新思维对于学生来说不仅仅在学习阶段有助于他们学习知识,在日后的人生之路上也有助于他们成长。中学阶段正是一个学生思维比较活跃的阶段,非常有利于培养学生的创新思维。初中数学教学过程是培养学生创新思维的一个关键点,因此如何培养学生的创新思维,也是教师目前深入研究的话题。本文正是对如何在初中数学教学中培养学生的创新思维提出了一些看法和意见,希望能有一定的参考价值。 相似文献
12.
王敏红 《佳木斯教育学院学报》2011,(6):131-132
研究性学习在小学数学中的应用着重点在于小学生对于知识的再创造过程,本文从小学数学学科特点出发,提出了几种研究性学习的教学策略,希望促使小学数学与研究性学习紧密结合,并试图为小学数学教师培养小学生创造性提供可借鉴的操作策略。 相似文献
13.
赵玉城 《天津师范大学学报(基础教育版)》2012,(1):59-62
随着课程改革的发展,人们对课程改革的"关注点"逐渐由转变教学方式转移、聚焦到提高教学的有效性方面来。经过精心筛选的高中数学内容,已经成为培养公民素质的基础课程之一。贯穿于数学课程的主要脉络是函数、几何、运算、应用、统计、概率等,其内容之间相互渗透,但并不独立。如何使学生在已有知识经验和能力的基础上,最大限度地达成或超越预期的教学目标,这是数学课堂"有效教学"研究的最终目标。 相似文献
14.
自《1988年教育改革法》颁布实施之后,英国中等教育证书考试成为了对结束义务教育阶段的中学生的知识、技能水平的全面鉴定。在新世纪,英国中等教育证书考试受到人们越来越多的关注,但同时又面临诸多如质量下降、学业成绩差距拉大等新的挑战。本文通过对新世纪英国政府重要教育报告的分析,揭示英国政府对中等教育普通证书考试改革的重要举... 相似文献
15.
Marco Kragten Wilfried Admiraal Gert Rijlaarsdam 《Research in Science Education》2013,43(5):1785-1800
Students in secondary science education seem to have difficulties with understanding diagrams. The present study focused on explanatory factors that predict students’ difficulties with process diagrams, i.e., diagrams that describe a process consisting of components that are related by arrows. From 18 compulsory national Biology exams of secondary school pre-university students, all process diagram tasks (n?=?64) were included in corpus. Features of the task, student, and diagram were related to the difficulty of that particular task, indicated by the cohort mean exam score. A hierarchical regression analysis showed main effects for (1) the cognitive task demand, (2) the familiarity of the components, and (3) the number of components in a diagram. All these main effects were in the expected direction. We also observed interactions. Within the category of tasks with a high cognitive demand, tasks about a diagram of which students have low prior content knowledge were more difficult than tasks about a diagram of which students have high prior content knowledge. Tasks with a high cognitive demand about a diagram with familiar arrows were, surprisingly, more difficult than tasks with a high cognitive demand about a diagram with unfamiliar arrows. This latter finding might be attributed to compensation for task difficulty by the large number of components in the diagrams involved. The final model explained 46 % of the variance in exam scores. These results suggest that students have difficulties (1) with tasks that require a deeper understanding when the content is new, (2) with diagrams that use unfamiliar component conventions, and (3) with diagrams that have a small number of components and are therefore probably more abstract. 相似文献
16.
In this study pupils in grades 1 through 9 (ages 7–16) of the Swedish comprehensive school rated their interests in mathematics and Swedish (separately for reading and writing). They also judged other aspects of their school work and situation, such as need for control and challenging tasks, their perception of the teacher, their concern with how well other pupils succeeded, and their well-being at school. Teachers rated their level of achievement in Swedish and mathematics. It was found that interests tended to decrease over time, especially in mathematics. High achievers were more interested but they as well as low achievers showed a drop in interest over the years at school. Need for control rose and general well-being dropped. The developmental trends of the interest variables could not be accounted for by a rising need for control. The decrements in challenge and well-being could explain a part of these trends in Swedish but not in mathematics. 相似文献
17.
This article draws on data from a three‐year Australian Research Council‐funded study that examined the ways in which young children become numerate in the twenty‐first century. We were interested in the authentic problem‐solving contexts that we believe are required to create meaningful learning. This being so, our basic tenet was that such experiences should involve the use of information and communications technologies (ICT) where relevant, but not in tokenistic ways. This article highlights learning conditions in which young children can become numerate in contemporary times. We consider ‘academic’ or ‘school‐based’ mathematical tasks in the context of a Mathematical Tasks Continuum. This continuum was conceptualised to enable focused and detailed thinking about the scope and range of mathematical tasks that young children are able to engage within contemporary school contexts. The data from this study show that most of the tasks the children experienced in early years mathematics classes were unidimensional in their make up. That is, they focus on the acquisition of specific skills and then they are practiced in disembedded contexts. We suggest that the framework created in the form of the Mathematical Tasks Continuum can facilitate teachers’ thinking about the possible ways in which they could extend children’s academic work in primary school mathematics, so that the process of becoming numerate becomes more easily related to authentic activities that they are likely to experience in everyday life. 相似文献
18.
For more than half a century concerns about the ability of American students to compete in a global workplace focused policymakers' attention on improving school performance generally, and student achievement in science, technology, engineering, and mathematics (STEM) specifically. In its most recent form—No Child Left Behind—there is evidence this focus led to a repurposing of instructional time to dedicate more attention to tested subjects. While this meant a narrowing of the curriculum to focus on English and mathematics at the elementary level, the effects on high school curricula have been less clear and generally absent from the research literature. In this study, we sought to explore the relationship between school improvement efforts and student achievement in science and thus explore the intersection of school reform and STEM policies. We used school‐level data on state standardized test scores in English and math to identify schools as either improving or declining over three consecutive years. We then compared the science achievement of students from these schools as measured by the ACT Science exams. Our findings from three consecutive cohorts, including thousands of high school students who attended 12th grade in 2008, 2009, and 2010 indicate that students attending improving schools identified by state administered standardized tests generally performed no better on a widely administered college entrance exam with tests in science, math and English. In 2010, students from schools identified as improving in English scored nearly one‐half of a point lower than their peers from declining schools on both the ACT Science and Math exams. We discuss various interpretations and implications of these results and suggest areas for future research. © 2012 Wiley Periodicals, Inc. J Res Sci Teach 49: 804–830, 2012 相似文献
19.
Jill Adler 《Journal of Mathematics Teacher Education》2000,3(3):205-224
In this report, I examine resources and their use in school mathematics. I do so from the perspective of mathematics teacher
education and with a view to the practice of school mathematics. I argue that the effectiveness of resources for mathematical
learning lies in their use, that is, in the classroom teaching and learning context. The argument pivots on the concepts of
school mathematics as a hybrid practice and on the transparency of resources in use. These concepts are elaborated by examples
of resource use within an in-service teacher education research project in South Africa. I propose that mathematics teacher
education needs to focus more attention on resources, on what they are and how they work as an extension of the teacher in
school mathematics practice. In so doing, the report provides a language with which mathematics teacher educators and mathematics
teachers can investigate teachers' use of resources to support mathematical learning in particular and diverse contexts.
This revised version was published online in September 2006 with corrections to the Cover Date. 相似文献
20.
Yvette Solomon 《Educational Studies in Mathematics》2006,61(3):373-393
The ability to handle proof is the focus of a number of well-documented complaints regarding students' difficulties in encountering
degree-level mathematics. However, in addition to observing that proof is currently marginalised in the UK pre-university
mathematics curriculum with a consequent skills deficit for the new undergraduate mathematics student, we need to look more
closely at the nature of the gap between expert practice and the student experience in order to gain a full explanation. The
paper presents a discussion of first-year undergraduate students' personal epistemologies of mathematics and mathematics learning
with illustrative examples from 12 student interviews. Their perceptions of the mathematics community of practice and their
own position in it with respect to its values, assumptions and norms support the view that undergraduate interactions with
proof are more completely understood as a function of institutional practices which foreground particular epistemological
frameworks while obscuring others. It is argued that enabling students to access the academic proof procedure in the transition
from pre-university to undergraduate mathematics is a question of fostering an epistemic fluency which allows them to recognise
and engage in the process of creating and validating mathematical knowledge. 相似文献