• Title/Summary/Keyword: High school mathematics test

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An Examination of the Alignment between 2007 Mathematics Curriculum and Constructed-Response Assessment (서술형 평가 문항 분석 : 수학과 교육과정의 성격 및 목표와의 적합성을 중심으로)

  • Lee, JiHyun;Kim, Gooyeon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.899-925
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    • 2013
  • The purpose of this study was to examine how constructive-response questions in regular test was in aligned with the nature and goals of 2007 Curriculum Amendment. For this purpose, data were collected and analysed by using the framework for mathematical task and the cognitive demand of tasks suggested by Smith & Stein(1998) and mathematical proficiency suggested by National Research Council(2001). In particular, it aimed to reveal the overall picture of the level of cognitive demand and the proportion of mathematical proficiency of constructed-response items created by secondary mathematics teachers. The findings from the analysis showed that 70 percent of the constructed-response items were at low-level and the rest at high-level in terms of cognitive demand. Also, the constructed-response assessment focused on conputing (89%), understanding(45%), applying(30%) and least reasoning(17%). Most of the constructed-response items included computing and were algorithmic.

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An analysis of the change in mathematical inclination of middle level engineering college freshmen (중위권 공과대학 신입생들의 수학적 성향의 변화 분석)

  • Lee, Gyeoung Hee;Lee, Jung Rye
    • Communications of Mathematical Education
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    • v.29 no.4
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    • pp.745-762
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    • 2015
  • In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

A Curricular Comparison Study with TIMSS (우리 나라 수학교육과정 현황 및 TIMSS 연구결과와의 비교분석)

  • 김민경;노선숙
    • Journal of Educational Research in Mathematics
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    • v.11 no.1
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    • pp.137-156
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    • 2001
  • IEA's Third International Mathematics and Science Study(TIMSS) from 1994-1995 has placed Korea as one of the top three countries among 45 countries that participated in the study in mathematics achievement for the 3rd, 4th, 7th, and 8th grade students. While the test scores were excellent, the study also showed that mathematics education in Korea needed improvements in student attitudes, technology incorporation, and gender difference in achievement. An analysis of the a survey conducted as part of the mathematics curriculum research program showed that very little progress has been made in these areas for the past 5 years. Moreover, the progressively declining attitudes towards mathematics for high school students is a problematic phenomena for educators as we believe that mathematics is becoming even more important in an information technology based society. A comparison between the top three TIMSS scoring countries (Korea, Singapore, and Japan) and low scored country (U.S.) was made In this paper. We also compare some of problematic results from TIMSS to those from EERI Curriculum Study implemented in 2000. The study shows that simply using technology and improving student attitudes do not necessarily guarantee improved performance. Most of educators agree that potential for technology is great for both changing the way students learn and improving the attitudes of students. However, improperly implemented technology can hinder rather than help the educational process. Therefore, as we begin to implement and use more and moore technology, it is critical to develop the proper curriculum, training for teachers and research programs to track the progress and to make the necessary adjustments to provide the best possible education for our students. Another TIMSS result shows for all four grade levels(3rd, 4th, 7th, 8th), Korea shows the highest gender difference among all the participating countries. TIMSS data such as this is valuable to benchmark all types of information to get a better understanding about what is happening for improvements in math curriculum in Korea. More research needs to be done in comparing the performance of Korean mathematics education to understand both the strengths and weaknesses of our curriculum so that improvements can be made.

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Modeling of compressive strength of HPC mixes using a combined algorithm of genetic programming and orthogonal least squares

  • Mousavi, S.M.;Gandomi, A.H.;Alavi, A.H.;Vesalimahmood, M.
    • Structural Engineering and Mechanics
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    • v.36 no.2
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    • pp.225-241
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    • 2010
  • In this study, a hybrid search algorithm combining genetic programming with orthogonal least squares (GP/OLS) is utilized to generate prediction models for compressive strength of high performance concrete (HPC) mixes. The GP/OLS models are developed based on a comprehensive database containing 1133 experimental test results obtained from previously published papers. A multiple least squares regression (LSR) analysis is performed to benchmark the GP/OLS models. A subsequent parametric study is carried out to verify the validity of the models. The results indicate that the proposed models are effectively capable of evaluating the compressive strength of HPC mixes. The derived formulas are very simple, straightforward and provide an analysis tool accessible to practicing engineers.

Bond behavior of PP fiber-reinforced cinder concrete after fire exposure

  • Cai, Bin;Wu, Ansheng;Fu, Feng
    • Computers and Concrete
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    • v.26 no.2
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    • pp.115-125
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    • 2020
  • To reduce the damage of concrete in fire, a new type of lightweight cinder aggregate concrete was developed due to the excellent fire resistance of cinder. To further enhance its fire resistance, Polypropylene (PP) Fibers which can enhance the fire resistance of concrete were also used in this type of concrete. However, the bond behavior of this new type of concrete after fire exposure is still unknown. To investigate its bond behavior, 185 specimens were heated up to 22, 200, 400, 600 or 800℃ for 2 h duration respectively, which is followed by subsequent compressive and tensile tests at room temperature. The concrete-rebar bond strength of C30 PP fiber-reinforced cinder concrete was subsequently investigated through pull-out tests after fire exposure. The microstructures of the PP fiber-reinforced cinder concrete and the status of the PP fibre at different temperature were inspected using an advanced scanning electron microscopy, aiming to understand the mechanism of the bonding deterioration under high temperature. The effects of rebar diameter and bond length on the bond strength of PP fiber-reinforced cinder concrete were investigated based on the test results. The bond-slip relation of PP fiber-reinforced cinder concrete after exposure at different temperature was derived based on the test results.

Analysis on Gender Differences of Scholastic Characteristics at Each Achievement Level in Content Domains (내용 영역에 대한 성취수준별 남녀학생의 학업 특성 차이 분석)

  • Jo, Yun Dong
    • School Mathematics
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    • v.18 no.1
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    • pp.15-42
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    • 2016
  • Clarifying differences of scholastic characteristics showed in male and female students is the first step for resolving the differences. It is difficult that we figure out them by one test. If we evaluate a few subjects, they can't have generality. So, we must evaluate lots of subjects through several years by all-around contents. We keep going on like that, we can get objective and valid results. Accordingly, I dealt with 2010~2014 NAEA taken by complete enumeration evaluation for elementary, middle, and high school students. From the evaluation, while I organized the achievement scores and the average of percentage of correct answers from aspects of whole test, item types, and content domains, I elicited from differences of scholastic characteristics showed in male and female students by achievement levels. On the basis of these, I explored ways which can resolve the differences in male and female students and I proposed several suggestions to look for the better ways.

A Comprehensive Review on Regression Test Case Prioritization Techniques for Web Services

  • Hasnain, Muhammad;Ghani, Imran;Pasha, Muhammad Fermi;Lim, Chern Hong;Jeong, Seung Ryul
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.5
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    • pp.1861-1885
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    • 2020
  • Test Case Prioritization (TCP) involves the rearrangement of test cases on a prioritized basis for various services. This research work focuses on TCP in web services, as it has been a growing challenge for researchers. Web services continuously evolve and hence require reforming and re-execution of test cases to ensure the accurate working of web services. This study aims to investigate gaps, issues, and existing solutions related to test case prioritization. This study examines research publications within popular selected databases. We perform a meticulous screening of research publications and selected 65 papers through which to answer the proposed research questions. The results show that criteria-based test case prioritization techniques are reported mainly in 41 primary studies. Test case prioritization models, frameworks, and related algorithms are also reported in primary studies. In addition, there are eight issues related to TCP techniques. Among these eight issues, optimization and high effectiveness are most discussed within primary studies. This systematic review has identified that a significant proportion of primary studies are not involved in the use of statistical methods in measuring or comparing the effectiveness of TCP techniques. However, a large number of primary studies use 'Average Percentage of Faults Detected' (APFD) or extended APFD metrics to compute the performance of techniques for web services.

Analysis of Teaching and Learning Results in Mathematics using Reconstructed Textbook -Focusing on Vocational High School- (재구성 교재를 활용한 수학과 교수·학습 결과 분석 -특성화 고등학교를 중심으로-)

  • So, Jae Hong;Jeon, Young Ju
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.179-194
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    • 2016
  • The purpose of this study is to find out how the reconstructed textbook for vocational high school students influences on students' scholastic achievement and affective domain when it is used in the class of vocational high school. To tackle the study problems, the researcher chose two classes of the first grade in G commercial high school and gave lessons to each of the two classes; one class, as an experimental group, was taught with the reconstructed textbook and the other, as a comparative group, was taught with the original textbook. The following results are derived from the study. First, it turned out in the post academic achievement test result, there is no significant difference between the experimental group and the comparison group, by significant level; .05. However, the prior academic achievement test result shows that the average of the comparison group is 0.44 points higher than the average of the experimental group, while the post test result shows that the average of the experimental group is 1.96 points higher than the average of the comparison group. Second, it turned out by the post affective domain test result, there is no significant difference between the experimental group and the comparison group, by significant level; .05, and any significant difference did not occur in all five areas. However, the whole point of the affective domain and the points of each area of experimental group are higher than those of the comparison group, and the degree of improvement in experimental group is also greater than that of the comparison group. In conclusion, the effectiveness of utilizing a reconstructed textbook in vocational high school math class can be expected in the long term.

A study on TPACK of mathematics teachers : Focusing on recognitions and educational needs of TPACK (수학교사의 테크놀로지 교수 내용 지식(TPACK)에 대한 연구 : TPACK에 대한 인식 및 교육요구도 분석 중심으로)

  • Lee, Da-Hee;Whang, Woo-Hyung
    • The Mathematical Education
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    • v.57 no.1
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    • pp.1-36
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    • 2018
  • The purpose of this study is to examine the relationship between utilization of technology and TPACK in mathematics teachers, and to analyze needs and retentions, difference between needs and retentions, and educational needs of TPACK in mathematics teachers. Furthermore, we will prioritize TPACK items that mathematics teachers want to change, and provide implications for teacher education related to TPACK in the future. To do this, we analyzed 328 mathematics teachers nationwide by using survey on the utilization of technology, averages of TPACK's needs and retentions, t-test of two averages, Borich's educational needs analysis, and the Locus for Focus model. The results are as follows. Firstly, the actual utilization rate was lower than the positive recognition of utilization of technology by mathematics teachers, and many mathematics teachers mentioned the lack of knowledge related to TPACK. Secondly, the characteristics of in-service mathematics teacher's needs and retentions for TPACK were clear, and TPACK's starting line of in-service mathematics teacher can be different from pre-mathematics teacher's. The retentions was high in the order of CK, PCK and PK, and the needs was higher in the order of TPACK, TCK, TK and TPK. All of the higher retentions were knowledge related to PCK, and the value of CK was extremely high among them. In addition, mathematics teachers recognized needs for integrated knowledge related to technology, and they needed more TCK than TPK. The difference between needs and retentions showed that all items except two items in the PK were significant. Retentions of all items in CK was higher than needs, needs of all items in TK, TCK, TPK and TPACK was higher than retentions, PK and PCK were mixed. Thirdly, based on the analysis of Borich's educational needs and the Locus for Focus model, teacher education on TPACK for mathematics teachers needs to focus on TPACK, TK, TCK, and TPK. Specifically, TPACK needs to combine technology in terms of creativity-convergence, mathematical connections, communication, improvement of evaluation quality, and TK needs to new technology acquisition, function of utilizing technology, troubleshoot problems with technology, TCK needs to mathematical value(esthetic, practical) with technology, and TPK needs to consider technology in terms of evaluation methods, teaching and learning methods, improvement of pedagogy. Therefore, when determining the direction of teacher education related to TPACK in the future, if they try to reflect these items in detail, the teachers could participate more actively and receive practical help.

Algebraic Problem Solving of the High School Students : An Analysis of Strategies and Errors (고등학교(高等學校) 학생(學生)의 대수(代數) 문제(問題) 해결(解決) : 전략(戰略)과 오류(誤謬) 분석(分析))

  • Lee, Sang-Won;Jeon, Pyung-Kook
    • Communications of Mathematical Education
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    • v.2
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    • pp.181-191
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    • 1997
  • The purpose of this study is to provide the primary sources to improve the problem solving performance by analyzing the errors and the strategies selection of the high school students when solving given algebraic problems. To attain the purpose of this study, the questions for investigation in this study are : 1. What are the differences / similarities in the patterns of errors committed by successful and unsuccessful problem-solvers when solving particular algebraic problems ? 2. What are the error types chosen by unsuccessful problem-solvers when solving particular algebraic problems? 3. Do students utilize checking, either locally or globally, when solving particular algebraic problems? Twenty students were drawn out of 10th grade students in J girls' high school in Yengi -gun, Chung-Nam, for this study. The problem-solving test was used as a test instrument. From the data, the verbal protocols and the written protocols were analyzed by the patterns. The conclusions drawn from the results obtained in the present study are as follows: First, in solving particular algebraic problems, when the problems were solved with one strategy, most students didn't give any consideration to other strategies. So mathematics teachers should teach them to use the various strategies, and should develop the problems to be used the various strategies. Second, in solving particular algebraic problems, errors on notions or transformations of equations were found. Thus, the basic knowledges related to equation should be taught. In addition, most unsuccessful students seleted the strategies inadequately to solve the problems because of misunderstanding the problems. So, to improve the problem solving performance the processes of 'understanding problem' should be emphasized to students. Third, although the unsuccesful students used the 'checking' processes when solving the problems, most of them did not find the errors because of misconceptions related to the problems, carelessness, and unskillfulness of checking. Thus, students must be taught more carefully and encouraged to use the checking.

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