• Title/Summary/Keyword: High school mathematics test

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An Analysis on the Understanding of High School Students about the Concept of a Differential Coefficient Based on Integrated Understanding (통합적 이해의 관점에서 본 고등학교 학생들의 미분계수 개념 이해 분석)

  • Lee, Hyun Ju;Ryu, Jung Hyeon;Cho, Wan Young
    • Communications of Mathematical Education
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    • v.29 no.1
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    • pp.131-155
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    • 2015
  • The purpose of this study is to investigate if top-ranked high school students do integrated understanding about the concept of a differential coefficient. For here, the meaning of integrated understanding about the concept of a differential coefficient is whether students understand tangent and velocity problems, which are occurrence contexts of a differential coefficient, by connecting with the concept of a differential coefficient and organically understand the concept, algebraic and geometrical expression of a differential coefficient and applied situations about a differential coefficient. For this, 38 top-ranked high school students, who are attending S high school, located in Cheongju, were selected as subjects of this analysis. The test was developed with high-school math II textbooks and various other books and revised and supplemented by practising teachers and experts. It is composed of 11 questions. Question 1 and 2-(1) are about the connection between the concept of a differential coefficient and algebraic and geometrical expression, question 2-(2) and 4 are about the connection between occurrence context of the concept and the concept itself, question 3 and 10 are about the connection between the expression with algebra and geometry. Question 5 to 9 are about applied situations. Question 6 is about the connection between the concept and application of a differential coefficient, question 8 is about the connection between application of a differential coefficient and expression with algebra, question 5 and 7 are about the connection between application of a differential coefficient, used besides math, and expression with geometry and question 9 is about the connection between application of a differential coefficient, used within math, and expression with geometry. The research shows the high rate of students, who organizationally understand the concept of a differential coefficient and algebraic and geometrical expression. However, for other connections, the rates of students are nearly half of it or lower than half.

Analyzing Mathematical Performances of ChatGPT: Focusing on the Solution of National Assessment of Educational Achievement and the College Scholastic Ability Test (ChatGPT의 수학적 성능 분석: 국가수준 학업성취도 평가 및 대학수학능력시험 수학 문제 풀이를 중심으로)

  • Kwon, Oh Nam;Oh, Se Jun;Yoon, Jungeun;Lee, Kyungwon;Shin, Byoung Chul;Jung, Won
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.233-256
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    • 2023
  • This study conducted foundational research to derive ways to use ChatGPT in mathematics education by analyzing ChatGPT's responses to questions from the National Assessment of Educational Achievement (NAEA) and the College Scholastic Ability Test (CSAT). ChatGPT, a generative artificial intelligence model, has gained attention in various fields, and there is a growing demand for its use in education as the number of users rapidly increases. To the best of our knowledge, there are very few reported cases of educational studies utilizing ChatGPT. In this study, we analyzed ChatGPT 3.5 responses to questions from the three-year National Assessment of Educational Achievement and the College Scholastic Ability Test, categorizing them based on the percentage of correct answers, the accuracy of the solution process, and types of errors. The correct answer rates for ChatGPT in the National Assessment of Educational Achievement and the College Scholastic Ability Test questions were 37.1% and 15.97%, respectively. The accuracy of ChatGPT's solution process was calculated as 3.44 for the National Assessment of Educational Achievement and 2.49 for the College Scholastic Ability Test. Errors in solving math problems with ChatGPT were classified into procedural and functional errors. Procedural errors referred to mistakes in connecting expressions to the next step or in calculations, while functional errors were related to how ChatGPT recognized, judged, and outputted text. This analysis suggests that relying solely on the percentage of correct answers should not be the criterion for assessing ChatGPT's mathematical performance, but rather a combination of the accuracy of the solution process and types of errors should be considered.

Development and Application of High School Students' Physics Self-Efficacy (물리 자기효능감 측정 도구의 개발 및 적용: 자연계열 고등학생을 대상으로)

  • Mun, Kongju;Mun, Jiyeong;Shin, Seunghee;Kim, Sung-Won
    • Journal of The Korean Association For Science Education
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    • v.34 no.7
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    • pp.693-701
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    • 2014
  • Based on social cognitive theory, self-efficacy in the context of learning has been steadily emphasized as an indicator of students' motivation and performance. The premise for developing such an instrument was that a specific measure of Physics self-efficacy was deemed to be an important predictor of the change processes necessary to improve students' physics understanding. In this study we described the process of developing and validating an instrument to measure students' beliefs in their abilities to perform essential tasks in physics and then investigated high school students' self-efficacy about physics learning and performance. Validity and reliability of PSEI were tested using various statistical techniques including the Cronbach alpha coefficient, exploratory factor analysis. The result of factor analysis supported the contention that the Physics Self-Efficacy Inventory (PSEI) was a multidimensional construct consisting of at least four dimensions: understanding and application of Physics concepts, achievement motivation, confidence for physics laboratory, confidence for Mathematics. The result showed that Kroean high schools students have low Physics self-efficacy for the all four dimensions. Therefore, researchers should focus on development of students' Physics self-efficacy. In addition, the instrument may lead to further understanding of student behavior, which in turn can facilitate the development of strategies that may increase students' aspiration to understand and study Physics. More specifically, by using the PSEI as a pre- and post-test indicator, instructors can gain insight into whether students' confidence levels increase as they engage in learning Physics, and, in addition, what type of teaching strategies are most effective in building deeper understanding of Physics concepts.where they freely exchanged opinions and feedback for constructing better collective ideas.

Analysis of Korean Middle School Student Science Achievement at International Benchmarks in TIMSS 2003 (TIMSS 2003 성취 수준에 따른 우리나라 중학생들의 과학 성취도 분석)

  • Hong, Mi-Young;Jeong, Eun-Young;Lee, Mee-Kyeong;Kwak, Young-Sun
    • Journal of The Korean Association For Science Education
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    • v.26 no.2
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    • pp.246-257
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    • 2006
  • TIMSS (Trends in International Mathematics and Science Study) aims to produce reliable and internationally comparable indicators of student achievement. The TIMSS science achievement scale summarizes student performance on test items designed to measure a wide range of student knowledge and proficiency. This study analyzed Korean middle school students' science achievement at the advanced and high international benchmarks of the four benchmark levels of the benchmarks classified in TIMSS 2003 in light of science content areas (physics, chemistry, biology, earth science, and environmental science) and item characteristics. The average percent correct on items at the advanced benchmark by Korean students was highest in physics followed by earth science, biology, chemistry, and environmental science, whereas internationally the order was earth science, chemistry, biology, physics and lastly environmental science. Korean students performed relatively better in physics yet somewhat worse in chemistry than other top-performing countries. According to item analysis, Korean students reaching the advanced international benchmark understood some fundamentals of scientific investigation, but demonstrated weakness in written explanations of scientific principles, abstract science concept comprehension, and application of scientific concepts to solve quantitative problems. In addition, Korean students reaching the high international benchmark demonstrated relative weak conceptual understanding of ecology compared with other countries.

Customer's Time Orientation: Moderating Effects on the Service Convenience-Shopping Performance Linkages in Retail Contexts (고객의 시간 지향성: 소매업체에서의 서비스 편의성과 쇼핑 성과의 관계에 대한 조절효과)

  • Kim, Mi-Jeong;Park, Chul-Ju
    • Journal of Distribution Science
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    • v.14 no.2
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    • pp.123-133
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    • 2016
  • Purpose - Understanding how service convenience drives shopping performance is imperative for retailers such as department and large discount stores. Retailers have to enhance shopping productivity by reducing the costs of shopping, as convenience triggers customers' perceived shopping value, leading to customer satisfaction, and ultimately patronage behavior. Consumers, generally considering time as a scarce resource, are more sensitive to the time costs of tasks in regard to shopping trip, differently from forming perceptions of convenience in time orientation. Therefore, this study attempts to examine the moderating effects of consumers' time orientation on the relationships among service convenience of retailers and shopping performances such as shopping value and service performances. Research design, data, and methodology - The department and discount store chains were chosen as the point of analysis in this study. Data were collected from a survey of real-life consumers and all respondents were screened to ensure only those who had visited in the department and discount store chains within past six month prior to the day of data collection. Out of 600 self-reported surveys that were distributed, a total of 530 responses were returned and after excluding 20 incomplete responses, the final sample size was 510. The three hypotheses were proposed and tested in this study. The one hypothesis was on the moderating effects of time orientation for the effects of service convenience on shopping value (hedonic and utilitarian shopping value). The other two hypotheses were on the comparisons between high and low time-oriented customers with the effects in shopping value from service performance. Hierarchical moderated regression analysis was used to test the hypotheses. Results - The results suggest that the effect of service convenience on utilitarian shopping value and the positive effect of utilitarian shopping value on customer satisfaction are greater in low time orientation than high time orientation customers. Conversely, when customers are highly oriented toward time, the effects of hedonic shopping value on customer satisfaction and revisit intention are greater than for customers who are lowly oriented toward time. Conclusions - This study has two-fold significance. First, this study contributes to the consumer behavior and services marketing literature by incorporating customers' time orientation into the service convenience-shopping performance. Although the effect of service convenience on shopping performance might differ from customers' perceptions concerning shopping, there has been little investigation or comparison between customers' perception on time. This study is a first attempt to consider how the effects of service convenience on shopping value and service performance vary with differing levels of customers' time orientation. This study advances prior studies by showing that the service convenience-shopping value and service convenience-service performance relationships vary across different combinations of the customer's time orientation. The findings of this study suggest that the retailers need to enhance the experiential aspects of the stores for their high time-oriented customers. Conversely, for the low time-oriented customers, the retailers should boost the visual distinctiveness and ease of store navigation.

A study on the left/right brain utilization tendency of information prodigies (정보영재 학생의 좌·우뇌 활용 성향 연구)

  • Nam, Seun Kwon;Choi, Won Sik;Lim, Byoung Ung
    • 대한공업교육학회지
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    • v.33 no.1
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    • pp.23-43
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    • 2008
  • The purpose of this study is to provide some necessary baseline data to the information prodigy related research through the study on the brain left/right tendency of information prodigies. Subjects were 298 gifted students(59 information, 79 mathematics, 80 science, 40 invention, 40 social science) and 114 general students summing up 412 in the schools of Daejeon metropolitan area. 'Brain Tendency Test' developed by Torrance and modified by Ko in Korean was used as a tool to measure the prodigies' brain tendencies. Data analysis has been done with the $x^2$ test of frequency with the alpha = .05. The results of this study are as follows. 1) The information gifted students have tendencies of utilizing right brain hemisphere at the most, both left/right brain(whole brain) utilization at the second, and left brain utilization at the last. 2) There was statistically no difference between information prodigies and general students in the left/right brain tendency. 3) There was statistically mild evidence to support the notion that there are some differences in the brain tendency between the group of information prodigies and the group of other area of the prodigies. The degree of inclination to utilize the whole brain hemisphere for the prodigies of the other area was the highest compare to other left/right brain utilization while the information prodigies tend to utilize the right brain hemisphere at the most. 4) The female information prodigies have tendencies of utilizing while brain area at the most, right brain utilization at the second, and left brain utilization at the last contrary to the brain utilization tendencies in the male information prodigies which are the same as the brain utilization tendencies of the information prodigies. However there was no difference in brain tendencies statistically between the two groups since the female subjects were too small.

Design and Implementation of an Problem-Solving Based and Self-Directed Learning System on Web (웹에서 문제 해결 기반 및 자기 주도적학습 시스템의 설계와 구현)

  • Kim, Kyung-Deok;Lee, Sang-Woon
    • Journal of Korea Multimedia Society
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    • v.7 no.7
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    • pp.944-955
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    • 2004
  • The modern society as a high-level information-oriented society lays a great emphasis on lifelong education. It emphasizes all the learners' creative learning ability and various teaching-learning methods as well. We need the self-directed learning to meet these requirements, and one of the solutions is the self-directed teaching-learning process employing the web. Though many educators, so far, developed a number of teaching materials, they are no more than web-based teaching materials for simple learning activities or simple item-bank systems. So, this paper suggests an problem-solving based and self-directed learning system on web in order to overcome such simplicities, and it shows design and implementation of the system. Suggested learning system enables learners to get thinking skill though self-directed control of learning level after they learn the basic concepts and principles on the web as self-directed learning. For example, the system was applied to mathematics education for a middle school students. It supports a test of questions chosen from the item bank in a self-directed way, and helps learners to understand their learning levels for themselves and to solve their questions through on-line discussions with their instructor. The system can also be helpful in improving the learners' learning effects by sharing mutual information through the data room or the Q&A between learners and learners or between learners and instructors.

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