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It is widely accepted that mathematical learning builds upon students’ prior knowledge and understandings, and their identities. In this study, this phenomenon is explored with indigenous students in remote community schools in outback Australia. Through one-on-one task-based interviews, it was found that these students had some clear understandings of the measurement concepts involved, although these understandings were often idiosyncratic to these students in this context. The task-based one-on-one interview gave better insights into students’ knowledge than the written form of the National Assessment Program–Literacy and Numeracy assessment. Nevertheless, the students’ conceptions provide a useful basis upon which to build subsequent knowledge, understanding and skills in the forms required by the formal mathematics curriculum.  相似文献   

4.
The aim of the present study was to identify children’s conceptions of learning mathematics and to assess the identified conceptions. Children’s conceptions are identified by interviewing 73 grade 5 students in Taiwan. The interviews are analyzed using qualitative data analysis methods, which results in a structure of 5 major conceptions, each having 2 subconceptions: constructivist (interest and understanding), interpretivist (liberty and innovation), objectivist (academic goal and perseverance), nativist (confidence and anxiety (reverse)), and pragmatist (vocational goal and application). The conceptions are assessed with a self-developed questionnaire, titled “the Conception of Learning Mathematics Questionnaire” (CLMQ), which is administered to 513 grade 5 students in Taiwan and examined with a reliability measure, confirmatory factor analysis, and correlations with 2 criteria: mathematics achievement and approaches to learning mathematics. The results show that the CLMQ has desirable internal consistency reliability and construct validity. The conceptions are also sensibly in relation to the 2 criteria, suggesting that the CLMQ is a valid measure for evaluating the quality of children’s learning mathematics in relation to teaching contexts.  相似文献   

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We report on an international study about mathematics students’ ideas of how they will use mathematics in their future study and careers. This builds on our previous research into students’ conceptions of mathematics. In this paper, we use data from two groups of students studying mathematics: those who participated in an in-depth interview and those who completed an open-ended questionnaire. We found that their responses could be grouped into four categories: don’t know; procedural skills; conceptual skills; and professional skills. Although some students held clear ideas about the role of mathematics, many were not able to articulate how it would be used in their future. This has implications for their approach to learning and our approach to teaching.  相似文献   

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The purpose of this study was to explore the impact of argumentation-based pedagogy on college students?? conceptual understanding of properties and behaviors of gases. The sample consists of 108 students (52 in the control group and 56 in the intervention group) drawn from 2 general chemistry college courses taught by the same instructor. Data were collected through pre- and post-tests. The results of the study show that the intervention group students performed significantly better than the control group students on the post-test. The intervention group students also showed significant increase in their test scores between pre- and post-test. While at least 80?% of the students in the intervention group abandoned their initial ideas on all of the 17 alternative conceptions that were identified by the authors but one, the percent of student abandoning their initial ideas in the control group was less than 50. The discussion focuses on the implications of these results for addressing students?? alternative conceptions, promoting the argumentation?Cpedagogy in college science courses and the challenges associated with the use of argumentation in college science classrooms.  相似文献   

7.

In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass &; Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra &; Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.

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In order to teach mathematics effectively, mathematics teachers need to have a sound mathematical knowledge, but what constitutes sound mathematical knowledge for teaching is subject to debate. This paper is an attempt to unpack what constitutes teacher knowledge of the concept of a function which is a unifying idea in the mathematics curriculum. The central components of the framework, which will be elaborated on in this paper, are: teachers’ subject matter knowledge, teachers’ pedagogical content knowledge, teachers’ technological pedagogical knowledge, technological content knowledge, and technological pedagogical content knowledge in relation to the concept of a function. The framework is informed by Shulman’s (Educational Researcher 15:4–14, 1986) Types of Teachers Knowledge Framework, Ball, Bass & Hill 29:14–17, 20–22, 43–46 (2005) Mathematical Knowledge for Teaching Framework, and Mishra & Koehler’s (Teachers College Record 108:1017–1054, 2006) Technological Pedagogical Content Knowledge (TPACK) framework.  相似文献   

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Engineering students in control courses have been observed to lack an understanding of equilibrium and stability, both of which are crucial concepts in this discipline. The introduction of these concepts is generally based on the study of classical examples from Newtonian mechanics supplemented with a control system. Equilibrium and stability are approached in different ways at the various stages of a typical engineering syllabus: at the beginning, they are mostly dealt with a static point of view, for example in mechanics, and are subsequently handled through dynamic analysis in control courses. In general, there is a little clarification of the differences between these concepts or the ways in which they are linked. We believe that this leads to much confusion and incomprehension among engineering students. Several studies have shown that students encounter difficulties when presented with simple familiar or academic static equilibrium cases in mechanics. Our study investigates students’ conceptions and misconceptions about equilibrium and stability through a series of questions about several innovative non-static situations. It reveals that the understanding of these notions is shaken when the systems being studied are placed in inertial or non-inertial moving reference frames. The students in our study were particularly uncertain about the existence of unstable equilibrium positions and had difficulty in differentiating between the two concepts. The results suggest that students use a velocity-based approach to explain such situations. A poor grasp of the above fundamental concepts may result from previous learning experiences. More specifically, certain difficulties seem to be directly linked to a lack of understanding of these concepts, while others are related to misconceptions arising from everyday experiences and the inappropriate use of physical examples in primary school.  相似文献   

11.
<正> Shanghai Branch of International Technology and Economy InstituteDevelopment Research Centre of The State Council of P, R, China Shanghai 20003,P,O,Box 085-003 Tel 0086-21-4339521×2184,Fax 0086-21-4316810  相似文献   

12.

In two dimensions (2D), representations associated with slopes are seen in numerous forms before representations associated with derivatives are presented. These include the slope between two points and the constant slope of a linear function of a single variable. In almost all multivariable calculus textbooks, however, the first discussion of slopes in three dimensions (3D) is seen with the introduction of partial derivatives. The nature of the discussions indicates that authors seem to assume that students are able to naturally extend the concept of a 2D slope to 3D and correspondingly it is not necessary to explicitly present slopes in 3D. This article presents results comparing students that do not explicitly discuss slopes in 3D with students that explicitly discuss slopes in 3D as a precursor to discussing derivatives in 3D. The results indicate that students may, in fact, have significant difficulty extending the concept of a 2D slope to a 3D slope. And that the explicit presentation of slopes in 3D as a precursor to the presentation of derivatives in 3D may significantly improve student comprehension of topics of differentiation in multivariable calculus.

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13.
In this study, 241 young and middle‐aged adult college students completed the Aging Sexuality Knowledge and Attitude Scale, and provided information about their demographic and grandparental relationship qualities. Findings showed that greater age was associated with increased knowledge of elderly sexuality. Both the presence of contact and greater than average perceptions of closeness with at least one grandparent were predictive of more permissive attitudes toward elderly sexuality. Among the total sample, greater knowledge was related to more permissive attitudes toward elderly sexuality. However, the presence of contact with at least one grandparent moderated this relationship; young adults without grandparental contact presented a nonsignificant knowledge /attitude relationship. These findings suggest that future studies of younger age cohorts’ attitudes toward elderly sexuality should assess grandparental contact and relationship characteristics, as well as general demographic information such as chronological age. Health‐care educators also may need to reconsider the commonly held assumption that greater knowledge of elderly sexuality is associated exclusively with more permissive attitudes.  相似文献   

14.
In-depth interviews guided by video elicitations examined 30 high school science teachers’ conceptions of technology and by extension how these conceptions reflected dimensions of nature of technology. Altogether, 64 % of the teachers characterized their schools and departments as aggressive–moderate adopters with generous access and support for technological tools. In comparison, 30 % noted that their school lagged behind due to funding and lack of infrastructure. Definitions of technology revealed emphasis on technology as artifact, overwhelming optimism on the purpose and function of technology to improve and make life easier and as representation of advancement in civilization. In tandem, teachers were most drawn to two video scenarios—medical and everyday tool videos because it reflected notions of progression and expectations of future changes; heightened awareness of the multitude of available technologies; and perceived relevance with classroom content. Perhaps most telling in these findings was that few teachers were drawn to the classroom video scenario, and only three teachers highlighted the technology–science–school science connection. These findings have implications for holistic understandings of technologies, which may inform how science teachers perceive and enact technologies in their science classrooms.  相似文献   

15.
The aim of the present study is to elicit students’ understanding of the particulate nature of matter via a cross-age study ranging from secondary to tertiary educational levels. A questionnaire with five-item open-ended questions was administered to 166 students from the secondary to tertiary levels of education. In light of the findings, it can be deduced that the number of students’ responses categorized under the “sound understanding” category for each item increased with educational level, except for U1. Also, it can be concluded that students’ specific misconceptions decreased steadily from SHS1 to SHS3, except for item 4, but there is surprisingly a clear increase at U1.  相似文献   

16.
In two dimensions (2D), representations associated with slopes are seen in numerous forms before representations associated with derivatives are presented. These include the slope between two points and the constant slope of a linear function of a single variable. In almost all multivariable calculus textbooks, however, the first discussion of slopes in three dimensions (3D) is seen with the introduction of partial derivatives. The nature of the discussions indicates that authors seem to assume that students are able to naturally extend the concept of a 2D slope to 3D and correspondingly it is not necessary to explicitly present slopes in 3D. This article presents results comparing students that do not explicitly discuss slopes in 3D with students that explicitly discuss slopes in 3D as a precursor to discussing derivatives in 3D. The results indicate that students may, in fact, have significant difficulty extending the concept of a 2D slope to a 3D slope. And that the explicit presentation of slopes in 3D as a precursor to the presentation of derivatives in 3D may significantly improve student comprehension of topics of differentiation in multivariable calculus.  相似文献   

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This study attempts to explore and discuss preschool teachers’ perception of gender differences in young children through their verbal expression. The teachers (Study I, n —121, Study II, n= 31) in this study perceive female preschoolers as positive and sensitive learners. While many learner qualities such as inventive, problem‐solver, builder, hands‐on, questioning, etc. are identified more often for boys than girls, overall the teachers’ perception of the boys’ group is less “teachable” and “easy to work with” than the girls group. In addition, one of the most intriguing and concerning observations is that girls are perceived as “passive learners” and therefore they are more “teachable” than boys. As implications of the study, the paper discusses an important understanding of gender‐fair and gender‐congruent pedagogical awareness for developmentally and culturally appropriate practice in early childhood education.

This study was originally presented at the 1999 AERA Annual Meeting, April 19‐23, Montreal, Canada, and was titled Examination of Preschool Teachers’ Biased Perception on Gender Difference.  相似文献   

19.
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20.
The present study investigated whether gender differences were present on the confidence judgments made by 8th grade Taiwanese students on the accuracy of their responses to acid–base test items. A total of 147 (76 male, 71 female) students provided item-specific confidence judgments during a test of their knowledge of acids and bases. Using the correctness of the answer responses, a confidence rating score, an unweighted rating score, and a relative confidence rating score were calculated for each respondent. The correlations between the boys and girls for each score area showed girls as scoring higher than boys in their knowledge of acids and bases, were more confident in this knowledge, and more willing to express different levels of confidence among the test items.  相似文献   

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