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1.
Helen J. Forgasz 《Education and Information Technologies》2002,7(2):111-125
In the first stage of a three-year study in which the effects of using computers for the teaching and learning of mathematics are being explored, a questionnaire was developed and administered to teachers of students in grades 7–10 in a representative sample of co-educational post-primary schools in Victoria, Australia. Using open and closed response formats, the information sought included data on the teachers' professional backgrounds, computer ownership and use, and their beliefs and practices in using computers for the teaching of mathematics. In this article, findings related to ownership, professional development, perceptions of technological skills, beliefs about the efficacy of computer use in mathematics, and data on how teachers are using computers for teaching secondary mathematics are presented and discussed. 相似文献
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Cristin Bellei 《Economics of Education Review》2009,28(5):629-640
This study (an impact evaluation of the Chilean full school day program) uses difference-in-differences to estimate the effect of a large increase in instructional time on high school students’ academic achievement. The main findings are (i) the program had a positive effect on students’ achievement in both mathematics and language; (ii) the effect-size on language achievement was 0.05–0.07 standard deviations and not sensitive to control for covariates, different control groups, and historical trends; (iii) the effect on mathematics achievement was not sensitive to control for covariates, but was sensitive to use different control groups, and historical trends; the effect-size on mathematics achievement ranged from 0.00 to 0.12 standard deviations; and (iv) the program effect has been constant over time. Finally, there is evidence suggesting that the program had larger positive effects on rural students, students who attended public schools, and students situated in the upper part of the achievement distribution. 相似文献
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We describe the development of a course to teach modeling and mathematical analysis skills to students of biology and to teach biology to students with strong backgrounds in mathematics, physics, or engineering. The two groups of students have different ways of learning material and often have strong negative feelings toward the area of knowledge that they find difficult. To give students a sense of mastery in each area, several complementary approaches are used in the course: 1) a “live” textbook that allows students to explore models and mathematical processes interactively; 2) benchmark problems providing key skills on which students make continuous progress; 3) assignment of students to teams of two throughout the semester; 4) regular one-on-one interactions with instructors throughout the semester; and 5) a term project in which students reconstruct, analyze, extend, and then write in detail about a recently published biological model. Based on student evaluations and comments, an attitude survey, and the quality of the students'' term papers, the course has significantly increased the ability and willingness of biology students to use mathematical concepts and modeling tools to understand biological systems, and it has significantly enhanced engineering students'' appreciation of biology. 相似文献
5.
Gender and the relationship between affective beliefs and perceptions of grade 7 mathematics classroom learning environments 总被引：1，自引：0，他引：1
Helen J. Forgasz 《Educational Studies in Mathematics》1995,28(3):219-239
This paper examines the relationships between a number of affective variables included in models explaining gender differences in mathematics learning and a range of classroom environment dimensions more likely to be associated with effective mathematics learning. A large sample of 12–13 year old grade 7 students participated in the study. The data were explored at the individual level, for whole class groupings of students, and by gender. For individuals, three of the classroom environment measures were found to be associated with a subset of the affective variables. The patterns of the relationships in classroom learning environments where teacher support emerged as irrelevant were not the same for males and females, however. For class groupings of students, the same three classroom environment measures were related to the affective variables but their salience was different for males and females. 相似文献
6.
In this study we investigated whether elementary mathematics teachers’ knowledge of their students, as reflected in both the accuracy and confidence with which they are able to estimate their students’ task-specific performance on sets of mathematics problems, predicted students’ overall mathematics achievement. Thirty-nine teachers made predictions about the performance of a random sample of target students (n = 150) in their classrooms on sets of “easy” and “difficult” multiplication and division problems. Teachers also provided confidence ratings for those judgments. From these data, indicators of teachers’ judgment accuracy, judgment confidence and calibration accuracy (a measure of metacognitive monitoring) were then related to all of their students’ (n = 834) performance on year-end standardized mathematics achievement tests. Multilevel analyses indicate that teachers’ calibration accuracy, but not their task-specific judgment accuracy, significantly predicted students’ mathematics achievement. Implications for future research on teacher knowledge as well as professional development programs are discussed. 相似文献
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My purpose in this paper is to show how modelling and othernon-deductive forms of reasoning, as employed by a highly creative mathematician, can be productiveof important conceptual innovations, and, by the same token, can serve as effective tools for stimulatingconceptual development in the process of learning mathematics. After a – necessarily brief – characterizationof Klein's model-based practice and its philosophical underpinning, the educational implications of the `model view'of mathematics are discussed. Models typically establish connections between different parts of our knowledgeand are therefore highly expedient for the construction of anintegrated conceptual framework for understanding mathematics,its relations with science and technology, and its practical uses. 相似文献
8.
培养学生的创造力是世界各地的课程改革也包括数学教育的一个重要目标。然而由于对创造力本身的界定有不同的认识,如何在教学中培养学生的创造力一直是困扰一线教师的难题。数学活动题作为一种开放性的问题,提供了丰富的问题情境,有助于学生探索和思考。学生在解决可操作的数学活动题时,表现出积极的情感体验,体现出多样的思维过程,并能对自己的解题思路进行反思和调整。利用数学活动题是培养学生数学创造力的一条可行的途径。 相似文献
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T. Mikael Winberg Jenny M. Hellgren Torulf Palm 《European Journal of Psychology of Education - EJPE》2014,29(4):673-691
The study aims to assess the relative importance of a large number of variables for predicting students’ positive-activating emotions during mathematics learning. Participants were 668 first-year upper secondary school students from 33 schools of different sizes and locations. Two questionnaires were distributed, one assessing students’ perceptions and beliefs about their learning situation in mathematics in general, and the other assessing the characteristics of a particular mathematics lesson and the students’ emotional experiences during this lesson. Single-construct and multivariate models for predicting students’ emotions were computed. The results show that the multivariate models were the most efficient, predicting as much as 59 % of the variance in students’ emotional experiences. The two most important constructs were students’ type of motivation and perceived degree of learning, which together predicted 48 % of the students’ emotions. Single-construct models predicted, at most, 36 %. The relative and absolute predictive ability of different motivational constructs are reported. The relationships between constructs and their implications for teaching are discussed. 相似文献
10.
Andrew Munns 《European Journal of Engineering Education》2017,42(6):1062-1075
Professional bodies expect engineers to show competence in both mathematics and engineering topics such as mechanics, using their abilities in both of these to solve problems. Yet within engineering programmes there is a phenomenon known as ‘The Mathematics Problem’, with students not demonstrating understanding of the subject. This paper will suggest that students are constructing different concept images in engineering and mathematics, based on their perception of either the use or exchange-value for the topics. Using a mixed methods approach, the paper compares 10 different types of concept image constructed by students, which suggests that familiar procedural images are preferred in mathematics. In contrast strategic and conceptual images develop for mechanics throughout the years of the programme, implying that different forms of competence are being constructed by students between the two subjects. The paper argues that this difference is attributed to the perceived use-value of mechanics in the career of the engineer, compared to the exchange-value associated with mathematics. Questions are raised about the relevance of current definitions of competence given that some routine mathematical operations previously performed by engineers are now being replaced by technology, in the new world of work. 相似文献
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The purpose of this case study was to investigate the values demonstrated by an elementary school teacher in her mathematics teaching and what values her students perceived. This research adopted the valuing theory (Raths, Harmin & Simon, 1987) and used classroom observations and interviews to document the teacher’s mathematics pedagogical values and a questionnaire, interviews, and instructional artifacts to document the students’ perceptions of these values. The results of this research identified two educational values and three mathematics pedagogical values that were influenced by the teacher’s personal beliefs about Buddhism, Confucianism, and curriculum. Her goals for education were to reinstate the students’ original enlightenment and the students’ respect for ethics and experts when dealing with people and life; and her values about mathematics learning were that it depends on individual efforts and personal understanding, her central purposes for teaching were to make students understand the mathematics content and to cultivate their problem-solving methods, and her purposes for evaluation were to understand students’ learning and to encourage students to correct their errors. The students’ awareness of these goals and values did not parallel the teacher’s personal priorities. The implications of teachers’ pedagogical values on teacher professional development and curriculum reform are discussed. 相似文献
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The changes in mathematical curricula induced by the introduction of informatics in school represent the general framework of this research. In particular we focus on the teacher's role by analysing the different choices taken by mathematics teachers when faced with a curriculum reform induced by the introduction of informatics in secondary school courses (age 14–16). Our hypothesis is that these choices are the consequence of conceptions teachers have about informatics and its teaching in relation to the teaching of mathematics. Thus, through a case study research method, we focus on mathematics teachers' conceptions of informatics and its teaching. An attempt is made at outlining a typology of these conceptions, based on the different orientations identified. 相似文献
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The realization that an educated citizenry is essential to China's modernization has led to the national goal of nine years of compulsory education for all students by the year 2000. Among the many and varied problems encountered in efforts to educate the masses are those existent in mathematics education. The authors identify and discuss four critical areas — educational theory, technology, instruction, and assessment of teaching — which are of immediate concern in the mathematics education of primary and secondary school students in China. 相似文献
14.
Considerable evidence indicates that student motivation and use of learning strategies are related. There is insufficient understanding, however, about their reciprocal effects—whether motivation affects strategy use, the converse, or whether the effects are bidirectional—and which components of motivation and strategies are involved. A two-wave longitudinal design was used to examine this issue among 9th grade students (N = 306) enrolled in high school mathematics classes during an academic term. A cross-lagged structural model found that students’ self-efficacy in mathematics and value predicted their reported use of learning strategies. There was no evidence, however, that learning strategy use predicted motivation and, thus, support for unidirectional effect of motivation during that time interval. Implications for models of self-regulated learning and instruction are discussed. 相似文献
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Ilhan Karatas 《欧洲师范教育杂志》2014,37(3):390-405
This study examines the effect of three different computer integration models on pre-service mathematics teachers’ beliefs about using computers in mathematics education. Participants included 104 pre-service mathematics teachers (36 second-year students in the Computer Oriented Model group, 35 fourth-year students in the Integrated Model (IM) group and 33 fifth-year students in the Exploring Mathematical Relationships with Mathematical Software (EMReMaS) group. The results indicated a remarkable change in beliefs within the EMReMaS and IM groups concerning computer use in teaching and learning mathematics. The present study offers empirical evidence that the pre-service mathematics teachers’ experiences in computer-based mathematics courses played a significant role in this change. Teacher education programmes should consider this learning method for pre-service teachers. 相似文献
16.
This study examined whether Matthew effects were evident in developmental patterns of reading and mathematics skills from middle childhood to adolescence. We obtained standardized reading and mathematics scores at Grades 3, 5, 7 and 9 for full cohorts of students in two Australian states, NSW (N = 88,958, 48% female) and Victoria (N = 65,984, 49% female). Latent growth curve models were used to identify the best-fitting longitudinal trajectories of reading and mathematics, and to examine whether cumulative (i.e. a Matthew effect), compensatory, or stable interindividual differences characterized development in each domain. For both reading and mathematics, and in both samples, growth decelerated as grade levels increased, with latent basis models fitting the data better than linear models. Negative intercept-slope covariances, and decreasing variances at increasing grades in both domains indicated compensatory growth patterns, rather than cumulative patterns or Matthew effects. These results indicate that students with below average achievement at Grade 3 make greater gains to Grade 9 than their initially higher-achieving peers. Modeling growth trajectories in two longitudinal population datasets allows strong tests of theorized growth patterns for both reading and mathematics, and presents insights about developmental change in academic skills from middle childhood to adolescence. 相似文献
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This paper describes the implications of principles derived from cognitive social learning theory and Vygotsky's socially oriented developmental perspective for the design of technology-based instructional materials. Vygotsky's ideas about the kinds of experience that facilitate intellectual growth in the “zone of proximal development” suggest that contemporary mathematics instruction (usually characterized by presentations to large groups, or by individualized instruction dominated by worksheets) deny students opportunities for individual interaction with and supportive guidance by adult experts or competent peers. It is proposed that such instruction fails to support the transfer of regulatory responsibility from teacher to student. The derivation of design specifications for the use of instructional technologies to overcome these limitations of contemporary instruction in mathematics is described. Instructional materials designed to promote self-regulation strategies as well as procedural and declarative knowledge in mathematics are presented. 相似文献
18.
This article raises some broad questions about the relevance of the current content and teaching methods in undergraduate social science generally. First, it examines critically the general teaching patterns which often stress the teaching of concepts, theory, history and techniques in isolation from current or historical problems. It next argues that our major methods of teaching—notably the lecture—contribute little to achieving the widely advertised pedagogic objectives of independent, critical thinking by students. Thirdly, it argues that we need to inject more relevance into the content of social science courses by shifting the emphasis towards a greater use of contemporary or historical problems or incidents as the starting point for the appreciation of theory and methods. It suggests that the teaching methods best suited to this are the various versions of the ‘case’ or ‘enquiry’ or ‘problem’ approach, which involve a more active participation by students in the process of learning, rather than their current passive role as consumers of teaching. Some illustrations of how this can be done are given. The article concludes by indicating some of the problems which are likely to be encountered in educational development of this kind. These problems are considered to be ‘political’ ones in that they involve a changed use and distribution of resources (of staff, students, times and buildings), which are likely to run counter to current systems of academic and institutional power, social organization, culture and ideology. 相似文献
19.
Increasingly, students are expected to write about mathematics. Mathematics writing may be informal (e.g., journals, exit slips) or formal (e.g., writing prompts on high-stakes mathematics assessments). In order to develop an effective mathematics-writing intervention, research needs to be conducted on how students organize mathematics writing and use writing features to convey mathematics knowledge. We collected mathematics-writing samples from 155 4th-grade students in 2 states. Each student wrote about a computation word problem and fraction representations. We compared mathematics-writing samples to a norm-referenced measure of essay writing to examine similarities in how students use writing features such as introductions, conclusions, paragraphs, and transition words. We also analyzed the mathematics vocabulary terms that students incorporated within their writing and whether mathematics computation skills were related to the mathematics vocabulary students used in writing. Finally, we coded and described how students used mathematics representations in their writing. Findings indicate that students use organizational features of writing differently across the norm-referenced measure of essay writing and their mathematics writing. Students also use mathematics vocabulary and representations with different levels of success. Implications for assessment, practice, and intervention development are discussed. 相似文献
20.
George L.C. Hills 《Instructional Science》1981,10(1):67-93
A father is now 20 years older than his son. In 8 years, the father's age will be 5 years more than twice the son's age. Find their present age.Word problems, such as this one, are a perennial source of difficulty for students of school mathematics. Unfortunately, very little is known about why they are problematic, mainly because so little is known about how students understand such problems or the strategies they use in their efforts to solve them. Traditional research into word problems has shed precious little light on this question owing, in no small part, to its almost singular preoccupation with results of pupils' activities—as expressed in some sort of test score, and to its tendency to all but ignore what students actually do when confronted with problems of this kind.This study was carried out as one facet of a larger research project designed to gain more insight into some of the ways in which students understand school mathematics. It focuses on the efforts of one pupil, a twelve-year-old girl in grade seven, to come to terms with solving word problems using an algebraic approach. Strategies associated with both the structured and the unstructured clinical interview were used in order to reveal what was involved in her attempts to make sense of the word problems in her grade seven mathematics textbook.Based on the information gained in the interview, a rational reconstruction of the student's problem-solving strategy is proposed, and compared with the strategies normally prescribed in contemporary school mathematics textbooks. What emerges from this comparison is the finding that, while there appear to be systematic and fundamental differences between the procedures prescribed by the text and those actually used by the pupil in working through certain problems, these differences are undetectable in the finished product; either in the answer itself or in the rough or finished work. What this suggests, among other things, is that if, as educators and/or researchers, we limit our attempts to understand how students go about learning to solve word problems (or how they approach any other part of the school mathematics curriculum, for that matter) to examining what they commit to paper, we are apt to be seriously misled concerning what they genuinely understand and what they fail to understand. In short, if we are to learn more about why pupils experience difficulties with word problems we must begin to pay serious attention to what they say and do as they work their way through them.This study was supported by a Research and Development Grant from the Faculty of Education, Queen's University. 相似文献