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1.
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   

2.
A case study was conducted of mathematics instruction at five sites in Papua New Guinea. Trial instructional materials were developed, teachers received inservice training and implementation was carefully monitored for a six-week period. English and mathematics achievement instruments and eight measures of cognitive development were administered to a sample of 201 students in grades two, four and six. Mathematics and language achievement varied significantly among the five sites. Students at all grade levels exhibited poor application of problem solving skills while showing computation, measurement and mathematical language abilities superior to results previously reported. English reading and measures of conservation and classification competence were highly correlated with mathematics achievement. Correlations between memory measures and mathematics achievement decreased from grade two to grade six while correlations between measures of language and cognitive development and mathematics achievement tended to increase. The results indicated that the non-consumable student textbooks ameliorated to some extent the problems associated with non-native language instruction for the students involved in the study. It was concluded that locally developed textbooks with an appropriate language load would enhance mathematics learning, particularly in remote-rural areas where current teaching conditions and lack of materials interact with poor English skills to create an imbalance in achievement.  相似文献   

3.
This article describes English language proficiency and bilingual verbal ability for a sample of 209 students aged 10 to 16 from three immigrant groups—Chinese, Dominican, and Haitian. Sources of data included structured student interviews, parent interviews, and individual language assessments. On average, students' English language proficiency was far below their age and grade level with significant differences among the groups. Estimates of students' language ability improved once their skills in their first language were considered as demonstrated by the bilingual verbal ability scores. Results from this study demonstrate the need to consider both English and first language skills in assessing the language abilities of these students and in promoting educational access and equity for recent immigrants.  相似文献   

4.
The purposes of the present study were (a) to compare US and Korean 8th graders' mastery of knowledge and skills in the mathematics test of the Trends in International Mathematics and Science Study (TIMSS) 2003 using a cognitive diagnostic testing method and (b) to find links between teachers' instruction and students' mastery of mathematics knowledge and skills. The participants included 740 US and 439 Korean 8th graders who took the Booklet 3 mathematics test. The results showed substantial differences between the US and Korean students' performance in problem restructuring and reasoning, measurement, and geometry. The most helpful instructional strategy for both Korean and US students was encouraging students' independent problem solving. Reviewing, re-teaching, and clarifying content were especially effective for the US students. Implications for teaching and learning are discussed.  相似文献   

5.
The purpose of this study is to evaluate the relationship of mathematics calculation rate (curriculum-based measurement of mathematics; CBM-M), reading rate (curriculum-based measurement of reading; CBM-R), and mathematics application and problem solving skills (mathematics screener) among students at four levels of proficiency on a statewide test. It was hypothesized that CBM-M provides insufficient information to make good screening decisions and that other measures with content more similar to that of large-scale tests of mathematics would function to improve screening. One hundred and seventy students in third grade from a rural elementary school in the Midwestern United States participated. Structural equation modeling was used to evaluate direct, mediator, and latent growth models. In general, CBM-R mediated the relationship between the mathematics ability screener and passing the state assessment, while CBM-M did not have any significant paths within these models. Results are discussed in terms of the utility of CBM-M and CBM-R procedures in screening for success on state test performance in mathematics.  相似文献   

6.
This study assessed the relation between long-term memory retrieval and mathematics calculation and mathematics problem solving achievement among elementary, middle, and high school students in nationally representative sample of US students, when controlling for fluid and crystallized intelligence, short-term memory, and processing speed. As hypothesized, structural equation modeling comparing elementary school students and middle and high school students revealed that long-term retrieval skills became a better predictor of both mathematics calculation and mathematics problem solving as age and grade increased. Future research should focus on the effectiveness of interventions to improve long-term retrieval skills in general, and arithmetic facts retrieval and problem solving procedures in particular, at all grades, including high school.  相似文献   

7.
System thinking skills at the elementary school level   总被引：1，自引：0，他引：1  
This study deals with the development of system thinking skills at the elementary school level. It addresses the question of whether elementary school students can deal with complex systems. The sample included 40 4th grade students from one school in a small town in Israel. The students studied an inquiry‐based earth systems curriculum that focuses on the hydro‐cycle. The program involved lab simulations and experiments, direct interaction with components and processes of the water cycle in the outdoor learning environment and knowledge integration activities. Despite the students' minimal initial system thinking abilities, most of them made significant progress with their ability to analyze the hydrological earth system to its components and processes. As a result, they recognized interconnections between components of a system. Some of the students reached higher system thinking abilities, such as identifying interrelationships among several earth systems and identifying hidden parts of the hydrological system. The direct contact with real phenomena and processes in small scale scenarios enabled these students to create a concrete local water cycle, which could later be expanded into large scale abstract global cycles. The incorporation of outdoor inquiry‐based learning with lab inquiry‐based activities and knowledge integration assignments contributed to the 4th grade students' capacity to develop basic system thinking abilities at their young age. This suggests that although system thinking is regarded as a high order thinking skill, it can be developed to a certain extent in elementary school. With a proper long‐term curriculum, these abilities can serve as the basis for the development of higher stages of system thinking at the junior–high/middle school level. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 47: 540–563, 2010  相似文献   

8.
Fostering students' spatial thinking skills holds great promise for improving Science, Technology, Engineering, and Mathematics (STEM) education. Recent efforts have focused on the development of classroom interventions to build students' spatial skills, yet these interventions will be implemented by teachers, and their beliefs and perceptions about spatial thinking influence the effectiveness of such interventions. However, our understanding of elementary school teachers' beliefs and perceptions around spatial thinking and STEM is in its infancy. Thus, we created novel measures to survey elementary teachers' anxiety in solving spatial problems, beliefs in the importance of spatial thinking skills for students' academic success, and self-efficacy in cultivating students' spatial skills during science instruction. All measures exhibited high internal consistency and showed that elementary teachers experience low anxiety when solving spatial problems and feel strongly that their skills can improve with practice. Teachers were able to identify educational problems that rely on spatial problem-solving and believed that spatial skills are more important for older compared to younger students. Despite reporting high efficacy in their general teaching and science teaching, teachers reported significantly lower efficacy in their capacities to cultivate students' spatial skills during science instruction. Results were fairly consistent across teacher characteristics (e.g., years of experience and teaching role as generalist or specialist) with the exception that only years of teaching science was related to teachers' efficacy in cultivating students' spatial thinking skills during science instruction. Results are discussed within the broader context of teacher beliefs, self-efficacy, and implications for professional development research.  相似文献   

9.
This study compared the problem‐solving skills required for solving well‐structured problems and ill‐structured problems in the context of an open‐ended, multimedia problem‐solving environment in astronomy. Two sets of open‐ended questions assessed students' abilities for solving well‐structured and ill‐structured problems. Generalized, rubric scoring systems were developed for assessing problem‐solving skills. Instruments were also developed and administered to assess cognitive and affective predictors of problem‐solving performance. By regressing the scores on the cognitive and affective predictors onto students' scores on the well‐structured and ill‐structured problems, we concluded that solving well‐structured and ill‐structured problems require different component skills. Domain knowledge and justification skills were significant predictors of well‐structured problem‐solving scores, whereas ill‐structured problem‐solving scores were significantly predicted by domain knowledge, justification skills, science attitudes, and regulation of cognition. Implications for problem solving in science education are presented. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 6–33, 2003  相似文献   

10.

Computer-assisted learning, including simulated experiments, has great potential to address the problem solving process which is a complex activity. It requires a highly structured approach in order to understand the use of simulations as an instructional device. This study is based on a computer simulation program, 'The Growth Curve of Microorganisms', which required tenth grade biology students to use problem solving skills whilst simultaneously manipulating three independent variables in one simulated experiment. The aims were to investigate the computer simulation's impact on students' academic achievement and on their mastery of science process skills in relation to their cognitive stages. The results indicate that the concrete and transition operational students in the experimental group achieved significantly higher academic achievement than their counterparts in the control group. The higher the cognitive operational stage, the higher students' achievement was, except in the control group where students in the concrete and transition operational stages did not differ. Girls achieved equally with the boys in the experimental group. Students' academic achievement may indicate the potential impact a computer simulation program can have, enabling students with low reasoning abilities to cope successfully with learning concepts and principles in science which require high cognitive skills.  相似文献   

11.
This study investigated mathematics teachers' professional knowledge among elementary school teachers exposed to a professional training program that either supported self-regulated learning (SRL) or offered no SRL support (no-SRL). The SRL support was based on the IMPROVE metacognitive self-questioning method that directs students' attention to understanding when, why, and how to solve problems (Kramarski and Mevarech, Am Educ Res J 40:281–310, 2003). Sixty-four Israeli elementary teachers participated in a month-long professional development program to enhance mathematical and pedagogical knowledge. The course was part of a 3-year professional development program sponsored by the Israeli Ministry of Education. This mixed-method study included quantitative assessments of teachers' professional knowledge in mathematical problem solving for an authentic task based on Program for International Student Assessment's framework (Program for International Student Assessment, 2003) and in lesson planning, as well as qualitative interviews and videotaped observations of two teachers. Results indicated that teachers in the SRL program outperformed those in the no-SRL program on various problem solving skills (e.g., reflection and conceptual mathematical explanations) and lesson planning (e.g., task demands and teaching approach). Videotaped observations of actual teaching indicated that the SRL-trained teacher demonstrated more teaching practices that aimed to promote students' understanding and better supported students' regulation of their own learning, compared to the no-SRL-trained teacher. We discuss educational and practical implications.  相似文献   

12.
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   

13.
李成真 《天津教育》2021,(8):169-170
数学课堂中,教师不仅要关注学生习得的基本知识和基本技能,更要适时采用不同策略有效渗透一些数学思想方法,培养学生的思维能力。现结合小学数学广角教学实践,从情境创设、知识形成、问题思考、知识应用及课外实践五个维度进行了渗透策略的研究,让学生获得更广泛的数学活动经验,领悟分析问题、解决问题的学习方法,进而实现渗透目的。  相似文献   

14.
The main aim of the study reported in this paper was to identify Italian high school students' ( n =599) beliefs about maths and mathematical problem solving by exploring the use of a 36-item (six scales) self-report questionnaire. The study was also aimed at analysing possible significant differences in beliefs related to grade (five years of school) and gender, as well as the relationship between beliefs and achievement in maths. Moreover, it explored the reasons underlying mature and nai¨ve beliefs about the different dimensions measured by the questionnaire. Results show a substantial replication of the instrument with the exception of one scale (importance of word problems) which was not reliable. A MANOVA revealed differences for three scales (ability to solve time consuming problems; problems which cannot solved by routine procedures; the usefulness of mathematics) related to grade and a difference for one scale related to gender (importance of understanding maths). It also emerged that the four scales mentioned predicted achievement in maths to different extents. Data regarding the reasons underlying students' beliefs show how their convictions are adaptive or maladaptive to learning. Finally, educational implications are drawn.  相似文献   

15.
This study investigated the effect of instruction with a cognitive tutoring software system in a remedial algebra course. The performance on algebra tasks of students who attended the experimental (cognitive tutor) and a control class was compared. The results indicated that the two groups of students were equally proficient with respect to algebraic manipulation skills. However, students who attended the experimental algebra section performed significantly better in problem solving than students in the control section. This finding suggested that the use of the cognitive tutor (a) improved students' problem‐solving abilities; (b) fostered student development of richer concepts of variable and function; and (c) improved students' procedural abilities in approaching and carrying through mathematical analyses of relatively complex situations.  相似文献   

16.
Generic skills such as critical thinking, problem solving, and communication are essential for students' success in higher education and their careers. This article presents findings from an international study of students' (n ≈ 120,000) generic skills from six countries using a performance-based assessment. Results indicate that higher education students, on average, gain generic skills between entry and exit. However, learning gain is less marked than could be expected and varies significantly among country samples. Various background variables such as gender, ethnicity, parental level of education, and primary language are also explored. The authors conclude that it is feasible to reliably and validly measure generic skills in a cross-cultural context and that assessment of these skills is an essential component of best practices in higher education.  相似文献   

17.
Predictive relationships among perceived family processes, intrinsic and extrinsic motivation, incremental beliefs about intelligence, confidence in intelligence, and creative problem-solving practices in mathematics and science were examined. Participants were 733 scientifically talented Korean students in fourth through twelfth grades as well as 71 individuals in fifth grade, tenth grade, and former Korean Science Olympians. Across all students, perceived positive family processes directly predicted creative problem-solving practices in mathematics and science and were indirectly predicted through enhancing confidence in intelligence and intrinsic motivation, which, in turn, predicted students' creative problem solving in mathematics and science. Confidence in intelligence was the best predictor of creative problem solving for scientifically talented fifth- and tenth-grade students but not for Olympians. Alternative interpretations, the importance of confidence in intelligence for creative problem solving in mathematics and science, and educational implications are discussed.  相似文献   

18.
This article reports about our efforts to determine engineering students' competence in mathematics. Our research is embedded in a larger project, KoM@ING–Modeling and developing competence: Integrated IRT based and qualitative studies with a focus on mathematics and its usage in engineering studies, within the program Modeling and Measuring Competencies in Higher Education (KoKoHS). KoKoHS provides the umbrella organization of several research projects addressing the modeling and measuring of competences at the college level. KoM@ING aims to model the role of engineering students' mathematical competences for their studies from both a quantitative and a qualitative perspective.

Here, we report the development of a large-scale instrument assessing engineering freshmen's competence in mathematics by applying Rasch analysis to determine measures for item difficulties and student abilities. Several analyses were performed to provide insights into the measures' reliability and validity. In particular, to examine cognitive validity, we scrutinized students' think-aloud protocols when solving the items to investigate their problem solving abilities as a proxy for item difficulty. Overall, we found first evidence that our instrument is suitable to assess engineering freshmen's competence in mathematics. This instrument may be helpful to conduct further research and to inform those concerned with college organization and policy.  相似文献   

19.
Abstraction is a major concept in computer science and serves as a powerful tool in software development. Pattern-oriented instruction (POI) is a pedagogical approach that incorporates patterns in an introductory computer science course in order to structure the learning of algorithmic problem solving. This paper examines abstraction processes in the course of solving an algorithmic problem and highlights three distinct, although interrelated, facets of abstraction: pattern recognition, black-boxing, and structure identification. A study that examined the influence of the POI approach on students' abstraction skills is described; students who learned according to the POI approach were compared with students who learned in a traditional manner with regard to analogical reasoning and problem decomposition and solution, as well as verbal expression. The three facets of abstraction were used to analyze students' abstraction skills and their competency in algorithmic problem solving.  相似文献   

20.
The current study deals with the development of system thinking skills at the junior high school level. The sample population included about 50 eighth‐grade students from two different classes of an urban Israeli junior high school who studied an earth systems‐based curriculum that focused on the hydro cycle. The study addressed the following research questions: (a) Could the students deal with complex systems?; (b) What has influenced the students' ability to deal with system perception?; and (c) What are the relationship among the cognitive components of system thinking? The research combined qualitative and quantitative methods and involved various research tools, which were implemented in order to collect the data concerning the students' knowledge and understanding before, during, and following the learning process. The findings indicated that the development of system thinking in the context of the earth systems consists of several sequential stages arranged in a hierarchical structure. The cognitive skills that are developed in each stage serve as the basis for the development of the next higher‐order thinking skills. The research showed that in spite of the minimal initial system thinking abilities of the students most of them made some meaningful progress in their system thinking skills, and a third of them reached the highest level of system thinking in the context of the hydro cycle. Two main factors were found to be the source of the differential progress of the students: (a) the students' individual cognitive abilities, and (b) their level of involvement in the knowledge integration activities during their inquiry‐based learning both indoors and outdoors. © 2005 Wiley Periodicals, Inc.  相似文献   

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