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1.
This paper describes a 10-year collaboration between a teacher educator and a high-school science teacher as they investigated different ways to gather student feedback to enhance teacher reflection. Four different procedures were developed during this time: (i) interviews by a teacher educator with students; (ii) learning logs written by students; (iii) observation schedules completed by students; and (iv) a survey completed by students and teachers. Of the four procedures, the most meaningful for teacher reflection was the student interviews because they were the most personal. However, other procedures for gathering student feedback may be more useful to initiate teacher reflection because they are less confronting. 相似文献
2.
Leigh A. van den Kieboom Marta T. Magiera John C. Moyer 《Journal of Mathematics Teacher Education》2014,17(5):429-461
In this study, we explored the relationship between prospective teachers’ algebraic thinking and the questions they posed during one-on-one diagnostic interviews that focused on investigating the algebraic thinking of middle school students. To do so, we evaluated prospective teachers’ algebraic thinking proficiency across 125 algebra-based tasks and we analyzed the characteristics of questions they posed during the interviews. We found that prospective teachers with lower algebraic thinking proficiency did not ask any probing questions. Instead, they either posed questions that simply accepted and affirmed student responses or posed questions that guided the students toward an answer without probing student thinking. In contrast, prospective teachers with higher algebraic thinking proficiency were able to pose probing questions to investigate student thinking or help students clarify their thinking. However, less than half of their questions were of this probing type. These results suggest that prospective teachers’ algebraic thinking proficiency is related to the types of questions they ask to explore the algebraic thinking of students. Implications for mathematics teacher education are discussed. 相似文献
3.
Kit-Ling Lau 《The Journal of educational research》2017,110(5):503-514
Building on previous listening strategy research, the author aimed to explore the differences between Chinese high-proficiency listeners (HLs) and low-proficiency listeners (LLs) on their strategy use, problems, and motivation in native language (L1) listening. It involved 1,290 Grade 7 and 1,515 Grade 9 students. Both quantitative and qualitative methods, including a listening comprehension test, questionnaires, and interviews, were adopted. The findings indicated that HLs possessed more types of strategies and used strategies more frequently and effectively than LLs. HLs not only reported fewer listening problems but also had a better awareness of listening problems and use of problem-solving strategies than LLs. Both HLs and LLs agreed with the importance of listening but showed little interest in doing listening tasks. The similarities and differences between the findings of this study and those of second-language listening research and implications for planning effective instruction to enhance native language listening proficiency are discussed. 相似文献
4.
This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching
experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving
contexts of (1) growth and change and (2) size and shape. This article describes the qualities and types of schemas that students
developed through examples of problems used to develop schemas, examples of students' reasoning and writing, and excerpts
from student interviews. Findings from the study indicated that there is a link between the type of generalizations students
construct and the schemas they are forming. By using these schemas students recognize, extend, and generalize patterns and
quantitative relationships both verbally and symbolically.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
5.
Eva Knekta Anna Sundström 《Assessment in Education: Principles, Policy & Practice》2019,26(2):202-221
The aim of this study was to examine ninth-grade students’ perception of a Swedish national test in science (high-stakes for the students) and a field trial (low-stakes for the students), in terms of test-taking motivation. The study is based on semi-structured interviews with 12 students. Overall, the students had a positive perception of the national test; they were motivated to do their best, believed they did well and found the test important and good. Several students were nervous before the test and some during the test whereas others felt okay, or even enjoyed taking the national test. The students talked about less effort and test anxiety in the field trial and perceived the test as less important compared to the national test. The interviews provided a rich understanding of the different aspects of test-taking motivation as described by the expectancy-value theory. Furthermore, they indicated how the test administration could be adjusted so as to achieve higher test validity. 相似文献
6.
This paper reports an analysis of response strategies employed by 300 first year undergraduate students on a chemistry test to answer questions posed in multiple choice and constructed response formats. Test answers were categorized and analyzed for format-related differences in solution strategies and error patterns. A subgroup of 21 students who had written the test were interviewed following the test with the intent of further exploring the response strategies which they had used. The verbal reports from the interviews were scored for the presence of typical problem-solving behaviours. Analysis of the test data indicated no significant differences in the types of solution strategies employed, nor in the types of errors committed, across test format. Most students used algorithmic production strategies and worked out the answers without regard to question format. However, the verbal data revealed evidence of subtler differences in the types and frequencies of problem-solving behaviours, particularly with respect to problem representation and answer evaluation. 相似文献
7.
There is a growing consensus that algebra is an important aspect of mathematics teaching and learning and several abilities are required in order students to have successful performance in algebra. The present study uses insights from the domain of psychology to enrich what is currently known in the domain of mathematics education about the relationship of algebraic thinking with abilities involved in fundamental cognitive processes. In total, 190 students between the ages of 13–17 years old were tested through two tests. The first test addressed four types of cognitive systems which are responsible for the representation and processing of different types of relations in the environment: the spatial-imaginal, the causal-experimental, the qualitative-analytic and the verbal-propositional. The second test addressed algebraic thinking. The results support the key role of the four types of cognitive processes in students’ algebraic thinking. The results also suggest that abilities involved in the four types of cognitive processes predict algebraic thinking abilities, irrespective of the age of the students. 相似文献
8.
Amal Hussain Alajmi 《International Journal of Science and Mathematics Education》2016,14(8):1517-1534
This study reports on the algebraic generalization strategies used by elementary and middle/high school pre-service mathematics teachers in Kuwait. They were presented with 9 tasks that involved linear, exponential, and quadratic situations. The results showed that these pre-service teachers had difficulty in generalizing algebraic rules in all 3 types of tasks. The most difficult problems were those involving exponents; they seemed to confuse exponential growth with the multiplication of n. Although they used several strategies such as explicit, recursive, and chunking, they tended to rely on explicit reasoning. They saw the explicit rule as a quick and easy rule to be used. In order to improve students’ understanding of algebraic reasoning, we must improve the understating of generalization. Teachers’ programs should put more emphasis on the type of content that teachers need to learn rather than on how much mathematics credits teachers need. 相似文献
9.
Jeffrey Craig 《Educational Studies in Mathematics》2018,98(1):57-76
The aim of this study is to better understand the notion of early algebraic thinking by describing differences in grade 4–7 students’ thinking about basic algebraic concepts. To achieve this goal, one test that involved generalized arithmetic, functional thinking, and modeling tasks, was administered to 684 students from these grades. Quantitative analysis of the data yielded four distinct groups of students demonstrating a wide range of performance in these tasks. Qualitative analysis of students’ solutions provided further insight into their understanding of basic algebraic concepts, and the nature of the processes and forms of reasoning they utilized. The results showed that students in each group were able to solve different number and types of tasks, using different strategies. Results also indicated that students from all grades were present in each group. These findings suggest the presence of a consistent trend in the difficulty level across early algebraic tasks which may support the existence of a specific developmental trend from more intuitive types of early algebraic thinking to more sophisticated ones. 相似文献
10.
Ramakrishnan Menon 《Asia Pacific Journal of Education》1995,15(1):59-68
Eleven Grade 6 students from a class of 26 Canadian children (comprising both Grade 5 and Grade 6 students) were the focus of a 15-week study on students' mathematical learning through writing, where Student Journals (SJ) and Student-Constructed Questions (SCQ) were used by the class teacher as an integral part of her lessons on common and decimal fractions. Student interviews, classroom observations and a teacher interview complemented the analysis of SJ and SCQ. Both writing tasks evidenced students' mathematical learning, but while the SCQ indicated students' fraction knowledge more clearly, the SJ did not communicate students' understanding of fractions as well as student's verbal discussion and explanations did. 相似文献
11.
G. A. M. Saido S. Siraj O. S. Al-Amedy 《International Journal of Science Education》2018,40(8):847-866
It is important for science students to develop higher order thinking (HOT) so that they can reason like scientists in the field. In this study, a HOT instructional model for secondary school science was developed with experts. The model would focus on reflective thinking (RT) and science process skills (SPS) among Grade 7 students. The Fuzzy Delphi Method (FDM) was employed to determine consensus among a panel of 20 experts. First, semi-structured interviews were conducted among the experts to generate the elements required for the model. Then, a questionnaire was developed using a seven-point linguistic scale based on these elements. The defuzzification value was calculated for each item, and a threshold value (d) of 0.75 was used to determine consensus for the items in the questionnaire. The alpha-cut value of >0.5 was used to select the phases and sub-phases in the model. The elements in the model were ranked to identify the sub-phases which had to be emphasised for implementation in instruction. Consensus was achieved on the phases of the HOT instructional model: engagement, investigation, explanation, conclusion and reflection. An additional 24 learning activities to encourage RT skills and SPS among students were also identified to develop HOT skills in science. 相似文献
12.
Fern Willits 《Assessment & Evaluation in Higher Education》2017,42(3):443-462
This study assessed the relationships of student attributes, course characteristics and course outcomes to college students’ ratings of course quality in three types of settings. The analysis utilised data from online surveys of samples of college students conducted in 2011 and 2012 at the Pennsylvania State University. Included in the analysis were: (1) 1805 students at the main campus; (2) 1453 students at 19 smaller satellite campus locations of the university scattered across the state; and (3) 522 students participating in online degree programmes through Penn State’s World Campus. Students were asked to rate the quality of instruction they received in a randomly selected course in which they had been enrolled during the previous semester, and to respond to a number of questions about the course, the instructor’s behaviour and themselves. The relationships of these factors to how students rated the course were assessed for subjects in the three study settings. In all three settings, student and course characteristics, course difficulty and amount of required work had little effect on course ratings. Grade received was modestly related to course rating. However, instructor’s use of selected recommended pedagogical practices and students’ perceptions of how much they felt they learned were by far the strongest correlates of students’ course evaluations. Implications of these findings are discussed. 相似文献
13.
Two studies examined the effects of four types of teachers’ evaluative feedback on Chinese students’ self-efficacy in English
vocabulary acquisition. In Study 1, a random sample of Grade 8 students (N = 79) learned prefixes and received either formative or summative feedback after failure in test. The results showed that
students who received summative feedback showed a larger decrease in their self-efficacy than those who received formative
feedback. In Study 2, a random sample of Grade 7 students (N = 77) went through similar procedures as in Study 1 except that students received either self-referenced or norm-referenced
feedback. The results showed that self-referenced feedback was more beneficial to students’ self-efficacy than norm-referenced
feedback. The influences of teachers’ evaluation and feedback on students’ self-efficacy are discussed. 相似文献
14.
15.
Dolev Sarit Even Ruhama 《International Journal of Science and Mathematics Education》2013,13(2):309-327
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16.
Dan Davies 《Compare》2016,46(4):582-602
In Nepal, the School Leaving Certificate (SLC) assessment taken by 16-year-olds at the end of Grade 10 of formal schooling performs a similar function to the General Certificate of Secondary Education (GCSE) examination in England in that it summarises individual, school, district and national achievement and acts as a filtering mechanism to the final stage of schooling and, ultimately, higher education and the jobs market. Both the SLC and GCSE examinations have come under criticism in recent years, with some comparable issues arising, for example: (1) differences in success rates between pupils in different socioeconomic circumstances, types of school, genders and ethnic groups; (2) the role of teacher-assessed coursework and associated accusations of bias; and (3) the extent to which examination questions test recall, comprehension or application. Based upon interviews with students, teachers, academics and senior civil servants in Nepal, this paper draws comparisons between the two systems. 相似文献
17.
Dave Hewitt 《Educational Studies in Mathematics》2012,81(2):139-159
This study looks at a mixed ability group of 21 Year 5 primary students (aged 9–10 years old) who had previously never had formal instruction using letters to stand for unknowns or variables in a mathematics context; nor had they been introduced to formal algebraic notation. Three lessons were taught using the computer software Grid Algebra where they began working with formal notation and were solving linear equations with some degree of success by the end of the lessons. The teaching was such that nothing was explained or justified by the teacher explicitly. The students appeared either not to meet, or to overcome quickly, some of the difficulties identified within previous research studies. They demonstrated remarkable confidence working with complicated linear algebraic expressions written in formal notation. A key feature of the software activities was that formal notation continually needed to be used and interpreted, and the software provided neutral feedback which enabled the students to educate their interpretation of the notation. 相似文献
18.
19.
S. Aslι Özgün-Koca 《Journal of Mathematics Teacher Education》2010,13(1):49-71
Although growing numbers of secondary school mathematics teachers and students use calculators to study graphs, they mainly
rely on paper-and-pencil when manipulating algebraic symbols. However, the Computer Algebra Systems (CAS) on computers or
handheld calculators create new possibilities for teaching and learning algebraic manipulation. This study investigated the
views of Turkish prospective secondary mathematics teachers on the use of advanced calculators with CAS in algebra instruction.
An open-ended questionnaire and group interviews revealed prospective teachers’ views and beliefs about when and why they
prefer three possible uses of CAS—black box, white box, or Symbolic Math Guide (SMG). The results showed that participants
mainly preferred the white box methods and especially SMG to the black box method. They suggested that while the black box
method could be used after students mastered the skills, the general white box method and SMG could be used to teach symbolic
manipulation. 相似文献
20.
Derek Cheung 《International Journal of Science Education》2018,40(1):1-23
Individual interest in school science lessons can be defined as a relatively stable and enduring personal emotion comprising affective and behavioural reactions to events in the regular science lessons at school. Little research has compared the importance of different factors affecting students’ individual interest in school science lessons. The present study aimed to address this gap, using a mixed methods design. Qualitative interview data were collected from 60 Hong Kong junior secondary school students, who were asked to describe the nature of their interest in science lessons and the factors to which they attribute this. Teacher interviews, parent interviews, and classroom observations were conducted to triangulate student interview data. Five factors affecting students’ individual interest in school science lessons were identified: situational influences in science lessons, individual interest in science, science self-concept, grade level, and gender. Quantitative data were then collected from 591 students using a questionnaire. Structural equation modelling was applied to test a hypothesised model, which provided an acceptable fit to the student data. The strongest factor affecting students’ individual interest in school science lessons was science self-concept, followed by individual interest in science and situational influences in science lessons. Grade level and gender were found to be nonsignificant factors. These findings suggest that teachers should pay special attention to the association between academic self-concept and interest if they want to motivate students to learn science at school. 相似文献