共查询到20条相似文献，搜索用时 171 毫秒
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Existing research indicates inconsistent or at best weak predictive effects of teacher knowledge on student achievement. Data from Germany were used to examine the relation between teachers' content and pedagogical content knowledge, their perception, interpretation, and decision-making skills, the instructional quality implemented in class, and students' learning progression in mathematics. Rather than direct effects of teacher knowledge on students, we hypothesized an effect chain with multiple mediation processes while controlling for school type and student background. Multi-level modeling with 3496 students from 154 classrooms revealed a mediating role of teachers' skills and their instructional quality for the relation between teacher knowledge and students' learning progress. Effect sizes were medium to strong, and the model explained a large amount of variance. No direct effects of teachers’ knowledge on student progress were found. We discuss our findings with respect to the teacher-competence-as-a-continuum model and with respect to future research. 相似文献
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Flexibility in problem solving has been widely recognized as an important skill for students' mastery of mathematics. Here we utilize the Opportunity-Propensity framework to investigate student characteristics, teacher characteristics, and teacher instructional practices that may be associated with students' gains in flexibility in algebra. Teacher and student data were collected from 8th and 9th grade Algebra I teachers in Massachusetts as part of a larger study on the impact of a researcher-developed year-long supplementary curriculum that focused on improving students' flexibility. We explore student demographics, teacher background characteristics and teacher instructional practices as predictors of student gains in flexibility. We further investigate instructional practices associated with flexibility gains through an analysis of teacher questioning in the classroom for teachers whose students achieved the greatest gains in flexibility and those whose students achieved the least gains. Our results indicate that prior knowledge is a reliable predictor of flexibility gains and that gender is an important student background characteristic associated with the development of flexibility. In addition, although high and low gain teachers did not differ in their implementation fidelity, high flexibility gain teachers asked more open-ended questions that prompted students to verbalize the main ideas of the lesson. 相似文献
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Ningning Zhao Martin Valcke Annemie Desoete Chang Zhu Guoyuan Sang JeanPierre Verhaeghe 《Scandinavian Journal of Educational Research》2014,58(1):1-20
The present study aims at exploring predictors influencing mathematics performance. In particular, the study focuses on internal students' characteristics (gender, age, metacognitive experience, mathematics self-efficacy) and external contextual factors (GDP of school location, parents' educational level, teachers' educational level, and teacher beliefs). A sample of 1749 students and 91 teachers from Chinese primary schools were involved in the study. Path analysis was used to test the direct and indirect relations between the predictors and mathematics performance. Results reveal that a large proportion of mathematics performance can be directly predicted from students' metacognitive experiences. In addition, other student characteristics and contextual variables influence mathematics performance in direct or indirect ways. 相似文献
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Maria Concetta Capizzo Silvana Nuzzo Michelangelo Zarcone 《European Journal of Engineering Education》2006,31(6):717-727
The case study described in this paper investigates the relationship among some pre-instructional knowledge, the learning gain and the final physics performance of computing engineering students in the introductory physics course. The results of the entrance engineering test (EET) have been used as a measurement of reading comprehension, logic and mathematics skills and basic physics knowledge of a sample of 47 Computing Engineering freshmen at the University of Palermo (Italy). These data give a significant picture of the initial knowledge status of a student choosing engineering studies. The students' physics learning gain has been calculated using a standardized tool in mechanics: the force concept inventory (FCI). The analysis shows that mathematical and physical background contribute to achieve a good final preparation in physics courses of engineering faculties; however the students' learning gain in physics is independent of students' initial level of mathematics skills and physics knowledge. Initial logic skills and reading comprehension abilities are not significant factors for the learning physics gain and the performance on physics courses. 相似文献
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Miroslav Lovric 《PRIMUS》2018,28(7):683-698
We discuss teaching and learning situations that surfaced when computer programming and mathematics were brought together in a course where students write computer code to explore mathematics problems. Combining programming and mathematics creates a rich ecosystem which, on top of traditional mathematics activities (writing solutions, proofs, etc.), offers simulation and experimentation, invites discussions about structure, requires logic and testing strategies, and handles mathematics objects with an added feeling of reality. Focusing on novice and inexperienced programmers, we look for answers to the practice-oriented question, “How do students reason through their difficulties when using programming to explore a mathematics problem?” Following literature review and methodology, we build the programming model, which we use to study students' experiences as they approach a mathematical problem by writing computer code. Our research is based on analyzing students' in-class work and class notes, author's observations of students working on their computers, and his interactions with students in class and elsewhere. In the four case studies that we present we touch upon students' difficulties in working with complex conditional statements and recurrence relations. As well, we discuss cases where resolving a programming issue demands posing and answering mathematical questions. 相似文献
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This paper describes two studies that explore students' beliefs about critical and creative learning at two universities, and considers the implications of those beliefs in comparison to the universities' stated education goals. One is a mixed method study of students at a top university in Korea, and the second is a comparative study between the Korean university and a United States (US) university. The first study found that both high-achievers and the general population at a top Korean university perceived their critical and creative abilities as lower than their receptive learning abilities, and that higher achievers were neither more critical nor creative than lower achievers. The second study finds that the Korean university students, compared to US students, were more likely to rate their receptive learning ability as higher than their critical and creative learning abilities. Comparisons across year of higher education (HE) suggest that Korean students' perceptions did not significantly change with respect to year in school, while US students' perceptions of critical learning abilities significantly increased across school years. Results are discussed with respect to the impact of culture, epistemological beliefs, and HE instruction on critical and creative learning. 相似文献
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Mainland China has a highly centralised curriculum development system. A study of two schools in northeast China, one in a rural area and the other in an urban area, indicates that the primary mathematics curriculum has been widely adopted by teachers at the classroom level. Feeling the intense pressure generated by the national mathematics Olympiad,1 teachers in the urban school tended to give more difficult mathematics problems to their students in the hope that above‐average students would perform well in the competition. In the rural school, the ability of students was more varied and generally lower. Teachers there worked very hard to push their students to meet the national requirements. The driving force behind this was the county‐wide public examination in which students' performance was taken as an indicator of teachers' competence. Teachers in both schools also have not taken effective steps to adapt the curriculum for students' individual differences. A comparison of the practices between the teachers in the two schools suggests that teachers' beliefs, their professional knowledge and skills shape their inclination and ability in curriculum adaptation and differentiation. 相似文献
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Jenny Yun-Chen Chan Chloe Byrne Janette Jerusal Allison S. Liu Justin Roberts Erin Ottmar 《British journal of educational technology : journal of the Council for Educational Technology》2023,54(4):943-966
Prior research has shown that game-based learning tools, such as DragonBox 12+, support algebraic understanding and that students' in-game progress positively predicts their later performance. Using data from 253 seventh-graders (12–13 years old) who played DragonBox as a part of technology intervention, we examined (a) the relations between students' progress within DragonBox and their algebraic knowledge and general mathematics achievement, (b) the moderating effects of students' prior performance on these relations and (c) the potential factors associated with students' in-game progress. Among students with higher prior algebraic knowledge, higher in-game progress was related to higher algebraic knowledge after the intervention. Higher in-game progress was also associated with higher end-of-year mathematics achievement, and this association was stronger among students with lower prior mathematics achievement. Students' demographic characteristics, prior knowledge and prior achievement did not significantly predict in-game progress beyond the number of intervention sessions students completed. These findings advance research on how, for whom and in what contexts game-based interventions, such as DragonBox, support mathematical learning and have implications for practice using game-based technologies to supplement instruction.
Practitioner notes
What is already known about this topic- DragonBox 12+ may support students' understanding of algebra but the findings are mixed.
- Students who solve more problems within math games tend to show higher performance after gameplay.
- Students' engagement with mathematics is often related to their prior math performance.
- For students with higher prior algebraic knowledge, solving more problems in DragonBox 12+ is related to higher algebraic performance after gameplay.
- Students who make more in-game progress also have higher mathematics achievement, especially for students with lower prior achievement.
- Students who spend more time playing DragonBox 12+ make more in-game progress; their demographic, prior knowledge and prior achievement are not related to in-game progress.
- DragonBox 12+ can be beneficial as a supplement to algebra instruction for students with some understanding of algebra.
- DragonBox 12+ can engage students with mathematics across achievement levels.
- Dedicating time and encouraging students to play DragonBox 12+ may help them make more in-game progress, and in turn, support math learning.
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Recent research anchored in achievement goal theory suggests mastery goals are more adaptive when endorsed for autonomous rather than controlled reasons. We report on two studies (N = 622) in which we explored whether the combined effects of goals and reasons on academic outcomes were different for a sample of low-SES youth than for other older higher-SES samples in the literature. Participants were low-SES high-school students in Lima, Peru. The results show that autonomous reasons for endorsing mastery goals positively predicted students' collective engagement and mathematics grades above the effect of mastery goals as such. Second, controlled reasons negatively predicted end-of-the year math grades. Finally, mastery goals’ relations with mathematics grades and behavioral engagement were attenuated when endorsed for low autonomous reasons. The findings extend the knowledge on mastery goal-complexes and show they apply to low-SES students. 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
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《师资教育杂志》2012,38(2):93-94
An important social concern in mathematics education is that the educational attainment of pupils may be influenced by teachers' competence in the curricular area they are teaching. This paper provides some insight into the relationship between student primary teachers' mathematics subject knowledge and their reported confidence to teach that subject. Eighty Bachelor of Education first year students completed an attitudes survey as well as an online mathematics competence test which consisted of 28 randomly generated questions from a bank of approximately 300 questions based on the attainment targets of the Scottish curriculum 5–14 document at level F with some E. Students were asked to rank teacher attributes. Though 98% of the students ranked basic numeracy skills as the most important, 65% of the cohort did not possess these skills. Moreover 95% suggested confidence was important, but confidence levels were found to be low even among students with higher than minimum entry requirements to the undergraduate primary teaching programme. It is perhaps not the level of mathematics that needs to be changed but the nature of mathematics taught and learned at that level that needs to be addressed. This in turn has implications for the approaches and the programmes deployed by Initial Teacher Education courses. 相似文献
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This study examined a structural model of mathematics achievement among Druze 8th graders in Israel. The model integrates 2 psychosocial theories: goal theory and social learning theory. Variables in the model included gender, father's and mother's education, classroom mastery and performance goal orientation, mathematics self-efficacy and self-regulated learning, mastery and performance goals, and mathematics achievement. Data on learner and learning environment variables and achievement in mathematics were collected from 273 boys and girls. Results indicate appropriate fit of the model for the entire sample. Invariance analysis across gender indicated that only 2 of the 11 path coefficients, mother's education on mathematics achievement and classroom mastery goal orientation on self-regulation, were not invariant across gender. The same pattern of relationships accounted for different amounts of variance in mathematics achievement for boys and girls. 相似文献
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Carlos O. Calderón-Tena 《Educational Psychology in Practice》2016,32(2):107-121
This study investigated the role of broad cognitive processes in the development of mathematics skills among children and adolescents. Four hundred and forty-seven students (age mean [M] = 10.23 years, 73% boys and 27% girls) from an elementary school district in the US southwest participated. Structural equation modelling tests indicated that calculation complexity was predicted by long-term retrieval and working memory; calculation fluency was predicted by perceptual processing speed, phonetic coding, and visual processing; problem solving was predicted by fluid reasoning, crystallised knowledge, working memory, and perceptual processing speed. Younger students’ problem solving skills were more strongly associated with fluid reasoning skills, relative to older students. Conversely, older students’ problem solving skills were more strongly associated with crystallised knowledge skills, relative to younger students. Findings are consistent with the theoretical suggestion that broad cognitive processes play specific roles in the development of mathematical skills among children and adolescents. Implications for educational psychologists are discussed. 相似文献
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Menucha Birenbaum Curtis Tatsuoka Tao Xin 《Assessment in Education: Principles, Policy & Practice》2005,12(2):167-181
A diagnostic model for large‐scale assessment was applied to TIMSS data to compare mathematics performance of eighth graders from three countries—the US, Singapore, and Israel. Compared were attribute mastery probabilities for content, skills and cognitive processes underlying students’ performance on the 1999 TIMSS‐R mathematics test. Also compared were the proportions of students from the three samples in each of eight hierarchically ordered clusters of knowledge states. The results indicated significant differences in favour of the Singaporean sample on most attributes underlying the test. The results were discussed in light of the cultural context of education in the respective countries. 相似文献
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Comparing solution methods fosters strategy flexibility in equation solving. Productive classroom discourse such as Accountable Talk (AT) orchestrated by teachers can improve students' justifications during classroom discussions and achievement. Do students' subject matter justifications during classroom discourse mediate the effect of teachers' professional development (PD) programs focused on comparing and AT on students’ mathematics achievement? We investigated whether two PD programs (comparing or comparing+AT) compared to a control group increased the number of students justifications, and whether this affected mathematics achievement (strategy flexibility, procedural knowledge, and conceptual knowledge). The study (739 9th and 10th grade students in 39 classes) had an experimental pre-post control group design. Both PD programs significantly increased students justifications compared to the control group. The results of our multilevel path models showed significant small mediation effects in the comparing+AT group on procedural and conceptual knowledge. No mediation effects were found in the comparing group. 相似文献
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Tanya L. Eckert Erin K. Dunn Robin S. Codding John C. Begeny Ava E. Kleinmann 《Psychology in the schools》2006,43(3):247-265
Teacher judgments have been identified as a primary source of information regarding student academic achievement. Research examining the accuracy of teachers' judgments in assessing students' academic abilities has shown relatively high accuracy. However, previous studies have relied primarily on norm‐referenced measures to obtain estimates of students' achievement in reading and mathematics. Recent developments in the assessment of students' academic skills, such as Curriculum‐Based Measurement (CBM), provide a direct estimate of students' skill levels in basic areas such as reading and mathematics. The purpose of the present study was to examine the extent to which teachers' perceptions of students' reading and mathematics skills corresponded to direct estimates of students' reading and mathematics skills. Two second‐grade teachers estimated the reading and mathematics skills of 33 second‐grade students. Results of this study indicated that teachers were not accurate in assessing their students' mathematics functioning. Teachers were more accurate in assessing the occurrence of Mastery mathematics levels in basic addition, but were very inaccurate in assessing the occurrence of Mastery, Instructional, or Frustrational mathematics levels in all other skills assessed. In reading, teachers' judgment accuracy varied as a function of grade‐level material and instructional level. Specifically, teachers experienced considerable difficulty accurately identifying students who were reading at a Mastery level in grade‐level or above‐grade‐level material. © 2006 Wiley Periodicals, Inc. Psychol Schs 43: 247–265, 2006. 相似文献
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Marian Hickendorff 《教育实用测度》2013,26(4):253-278
The results of an exploratory study into measurement of elementary mathematics ability are presented. The focus is on the abilities involved in solving standard computation problems on the one hand and problems presented in a realistic context on the other. The objectives were to assess to what extent these abilities are shared or distinct, and the extent to which students' language level plays a differential role in these abilities. Data from a sample of over 2,000 students from first, second, and third grade in the Netherlands were analyzed in a multidimensional item response theory (IRT) framework. The latent correlation between the two ability dimensions (computational skills and applied mathematics problem solving) ranged from .81 in grade 1 to .87 in grade 3, indicating that the ability dimensions are highly correlated but still distinct. Moreover, students' language level had differential effects on the two mathematical abilities: Effects were larger on applied problem solving than on computational skills. The implications of these findings for measurement practices in the field of elementary mathematics are discussed. 相似文献