• Title/Summary/Keyword: mathematical learning improvement

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The Effect of Project Method on the Key Competencies on the unit of "Making Model by Architecture" in the Vocational High Schools (특성화 고등학교 '건축모형제작' 단원에서 프로젝트법을 적용한 수업이 직업기초능력 향상에 미치는 효과)

  • Hwang, Dong-Un;Choi, Ji-Yeon
    • 대한공업교육학회지
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    • v.37 no.1
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    • pp.125-143
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    • 2012
  • This study aimed to identify the effect of the instruction applied with a project method for the 'Making Model by Architecture' unit in vocational High schools on the improvement of the Key competences. With this aim, the study selected as an experimental group, control group third graders in two classroom in G vocational High Schools in Goyang, Gyeonggi-do. Aiming at the selected students in the experimental group and the control group, the study conducted a pre-test of their Key competences; thus, the study confirmed that there was no statistically significant difference. Then, the study offered a class applied with a project method to the experimental group, while offering a traditional instruction to the control group. After offering the class, the study undertook a post-test, and verified the effect. In order to prove the test result, the study carried out a Hest using the SPSSWIN 12.0 statistical program, while the significance level being ${\alpha}$<.05. The conclusions obtained from this study include the following. All the six selected areas including 'problem-solving skills', 'communication skills', 'resource utilization competence', 'mathematical competence', 'interpersonal management competence' and 'self-management competence', which were supposed to be appropriate for this study among the sub-areas of Key competences, were found to show significant differences between the experimental group applied with a project method and the control group as a result of the post-test of the two groups. In summarizing the above research results, the class using a project method for the 'Making Model by Architecture' unit was discovered to be effective for improving Key competences. In particular, it may be more effective learning method for enhancing six areas greatly relevant to the project method among various sub-areas of Key competences.

The Effects of Visual Representations on Learning Proportional Expressions and Distributions (시각적 표현이 비례식과 비례배분 학습에 미치는 효과)

  • Son, Kyunghoon
    • Education of Primary School Mathematics
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    • v.21 no.4
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    • pp.445-459
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    • 2018
  • The purpose of this study is to provide a method to help elementary school students learn ratio-related concepts effectively through visual representations. This study was conducted to identify the differences in the composition of ratio-related concepts between Korean and Singaporean textbooks, reconstruct a unit of proportional expressions and distributions by using visual representations and confirm the differences in performance between an experimental and a comparison group of 6th grade students. While the experimental group mathematics lessons is from the reconstructed textbook, the comparison group lessons is from an existing textbook that does not include any reconstructive representations. A t-test of mean was applied to determine the differences between the experimental and comparison group. Analysis revealed significant differences in the mean between the experimental group and the comparison group, and the intermediate level group showed more improvement compared to the higher and lower level groups. An implication of this study is that the application of visual representations can assist students' understanding of ratio-related concepts.

Error analysis on factorization and the effect of online individualization classes (인수분해에 대한 오류 분석과 온라인 개별화 수업의 효과)

  • Choi, Dong-won;Heo, Haeja
    • Journal of the Korean School Mathematics Society
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    • v.24 no.1
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    • pp.83-105
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    • 2021
  • In this paper, we analyzed the misconceptions and errors incurred during factorization learning. We also examined whether online individualization classes had a positive effect on students' mathematical achievement. The experiment was conducted for 4 weeks (16 times in total) on middle school juniors in rural areas of Gyeonggi Province, where the influence of private extra education was small. In the class, the 'Google Classroom' was used as a LMS, the video lecture was uploaded to YouTube, and the teacher interacted with the students through "Zoom" and "Facetalk". In the online class situation, students' assignments and test answers were checked in real time through 'Google Classroom', and immediate feedback was provided to the experimental class group's students. However, for the control group students, feedback was provided only to those who desired. A total of 7 achievement evaluations were conducted in the order of pre-test, formative evaluation (5 times), and post-test to confirm the change in students' ability improvement and achievement. Through the formative evaluation analysis, it was possible to grasp the types of errors and misconceptions that occured during the factorization process. Students' errors were divided into four types: theorem or definition distortion error, functional errors such as calculation, operation, and manipulation, errors that do not verify the solution, and no response. As a result of ANCOVA, the two groups did not show any difference from the 1st to 4th formative assessment. However, the 5th formative assessment and post-test showed statistically significant differences, confirming that online individualization classes contributed to improvemed achievement.

An analysis of the implementation plans for ensuring basic academic abilities in mathematics (수학 교과의 기초학력 보장과 관련된 시·도 교육청의 시행계획 분석)

  • Oh, MinYoung;You, EunJung;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.27 no.2
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    • pp.173-185
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    • 2024
  • Mathematics is a subject that is closely related to ensuring basic academic abilities. As the importance of basic academic abilities has emerged recently, various policies and programs have been implemented to ensure basic academic abilities in mathematics. In this study, we extracted the programs related to mathematics from the Implementation Plans of the Basic Academic Abilities Guarantee of 17 city and provincial education departments and analyzed the actual status of the programs. We divided the programs into diagnosis and support. Regarding diagnosis, we analyzed what types of diagnostic tools are used, who chooses diagnostic tools, who is diagnosed, and when students are diagnosed. Regarding support, we classified it as in-class, in-school, and out-of-school support, and further analyzed the type of the learning support program and the expertise of the instructor. The results of this study showed that there was room for improvement in the timing of diagnosis and diagnostic expertise. This study also found the problems with the lack of preventive programs, ensuring teacher expertise, and support for dyscalculia. This study is expected to contribute to the implementation of programs to ensure basic academic abilities in mathematics and to promote research on basic academic abilities in mathematics education.

Analysis of the Effectiveness of Big Data-Based Six Sigma Methodology: Focus on DX SS (빅데이터 기반 6시그마 방법론의 유효성 분석: DX SS를 중심으로)

  • Kim Jung Hyuk;Kim Yoon Ki
    • KIPS Transactions on Software and Data Engineering
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    • v.13 no.1
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    • pp.1-16
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    • 2024
  • Over recent years, 6 Sigma has become a key methodology in manufacturing for quality improvement and cost reduction. However, challenges have arisen due to the difficulty in analyzing large-scale data generated by smart factories and its traditional, formal application. To address these limitations, a big data-based 6 Sigma approach has been developed, integrating the strengths of 6 Sigma and big data analysis, including statistical verification, mathematical optimization, interpretability, and machine learning. Despite its potential, the practical impact of this big data-based 6 Sigma on manufacturing processes and management performance has not been adequately verified, leading to its limited reliability and underutilization in practice. This study investigates the efficiency impact of DX SS, a big data-based 6 Sigma, on manufacturing processes, and identifies key success policies for its effective introduction and implementation in enterprises. The study highlights the importance of involving all executives and employees and researching key success policies, as demonstrated by cases where methodology implementation failed due to incorrect policies. This research aims to assist manufacturing companies in achieving successful outcomes by actively adopting and utilizing the methodologies presented.

A Study on the Prediction Model of Stock Price Index Trend based on GA-MSVM that Simultaneously Optimizes Feature and Instance Selection (입력변수 및 학습사례 선정을 동시에 최적화하는 GA-MSVM 기반 주가지수 추세 예측 모형에 관한 연구)

  • Lee, Jong-sik;Ahn, Hyunchul
    • Journal of Intelligence and Information Systems
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    • v.23 no.4
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    • pp.147-168
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    • 2017
  • There have been many studies on accurate stock market forecasting in academia for a long time, and now there are also various forecasting models using various techniques. Recently, many attempts have been made to predict the stock index using various machine learning methods including Deep Learning. Although the fundamental analysis and the technical analysis method are used for the analysis of the traditional stock investment transaction, the technical analysis method is more useful for the application of the short-term transaction prediction or statistical and mathematical techniques. Most of the studies that have been conducted using these technical indicators have studied the model of predicting stock prices by binary classification - rising or falling - of stock market fluctuations in the future market (usually next trading day). However, it is also true that this binary classification has many unfavorable aspects in predicting trends, identifying trading signals, or signaling portfolio rebalancing. In this study, we try to predict the stock index by expanding the stock index trend (upward trend, boxed, downward trend) to the multiple classification system in the existing binary index method. In order to solve this multi-classification problem, a technique such as Multinomial Logistic Regression Analysis (MLOGIT), Multiple Discriminant Analysis (MDA) or Artificial Neural Networks (ANN) we propose an optimization model using Genetic Algorithm as a wrapper for improving the performance of this model using Multi-classification Support Vector Machines (MSVM), which has proved to be superior in prediction performance. In particular, the proposed model named GA-MSVM is designed to maximize model performance by optimizing not only the kernel function parameters of MSVM, but also the optimal selection of input variables (feature selection) as well as instance selection. In order to verify the performance of the proposed model, we applied the proposed method to the real data. The results show that the proposed method is more effective than the conventional multivariate SVM, which has been known to show the best prediction performance up to now, as well as existing artificial intelligence / data mining techniques such as MDA, MLOGIT, CBR, and it is confirmed that the prediction performance is better than this. Especially, it has been confirmed that the 'instance selection' plays a very important role in predicting the stock index trend, and it is confirmed that the improvement effect of the model is more important than other factors. To verify the usefulness of GA-MSVM, we applied it to Korea's real KOSPI200 stock index trend forecast. Our research is primarily aimed at predicting trend segments to capture signal acquisition or short-term trend transition points. The experimental data set includes technical indicators such as the price and volatility index (2004 ~ 2017) and macroeconomic data (interest rate, exchange rate, S&P 500, etc.) of KOSPI200 stock index in Korea. Using a variety of statistical methods including one-way ANOVA and stepwise MDA, 15 indicators were selected as candidate independent variables. The dependent variable, trend classification, was classified into three states: 1 (upward trend), 0 (boxed), and -1 (downward trend). 70% of the total data for each class was used for training and the remaining 30% was used for verifying. To verify the performance of the proposed model, several comparative model experiments such as MDA, MLOGIT, CBR, ANN and MSVM were conducted. MSVM has adopted the One-Against-One (OAO) approach, which is known as the most accurate approach among the various MSVM approaches. Although there are some limitations, the final experimental results demonstrate that the proposed model, GA-MSVM, performs at a significantly higher level than all comparative models.