• Title/Summary/Keyword: College math

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INFERENCE OF MATHEMATIC PROBLEM BY CNN ALGORITH (CNN 알고리즘을 통한 수학 문제 답지 추론)

  • Chae-Ryeong Ahn;Jai-Soon Baek;Sung-Jin Kim
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2024.01a
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    • pp.185-186
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    • 2024
  • 본 논문에서는 CNN 알고리즘을 사용한 수학 문제 답지 추론 모델에 대한 소개를 다룬다. 현재의 학습 보조 서비스 중에서도 질문에 답하는 서비스들이 흔하지만, 수학 문제에 특화된 이미지 기반 답지 추론 서비스는 부족한 상황이다. 본 논문에서는 MathDataset 클래스를 활용하여 수학 문제 이미지와 정답을 연결하는 데이터셋을 생성하고, CNN 알고리즘을 사용하여 모델을 훈련하는 방법을 제시한다.

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Flipped Learning mathematics impact on the University Academic Achievement (Flipped Learning이 대학수학의 학업성취도에 미치는 영향)

  • Kim, Dong-Ryool
    • Journal of the Korea Convergence Society
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    • v.8 no.6
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    • pp.209-218
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    • 2017
  • Flipped Learning is being suggested which is well known as a teaching method which lets students learn the contents they will learn in advance through the advance online video and have a discussion through the team interaction in the main class for them to solve the assignment through the cooperation in a self-initiated way. Therefore, this study was intended to confirm if the flipped learning class could improve the students' learning ability and raising the interest in math by complementing the problem on the lecture-type class by applying the flipped learning class to the college basic math subject. As a result, in the unit test result, the average score of the experimental group was more than 20 higher than one of the control group indicating that Flipped Learning had a great effect on improving the learning ability, and as for the introspection journal analysis, many subjects from the experimental group showed the positive attitude toward math they felt difficult unlike ones from control group indicating that it was effective in improving the interest level.

A Method of Coupling Expected Patch Log Likelihood and Guided Filtering for Image De-noising

  • Wang, Shunfeng;Xie, Jiacen;Zheng, Yuhui;Wang, Jin;Jiang, Tao
    • Journal of Information Processing Systems
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    • v.14 no.2
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    • pp.552-562
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    • 2018
  • With the advent of the information society, image restoration technology has aroused considerable interest. Guided image filtering is more effective in suppressing noise in homogeneous regions, but its edge-preserving property is poor. As such, the critical part of guided filtering lies in the selection of the guided image. The result of the Expected Patch Log Likelihood (EPLL) method maintains a good structure, but it is easy to produce the ladder effect in homogeneous areas. According to the complementarity of EPLL with guided filtering, we propose a method of coupling EPLL and guided filtering for image de-noising. The EPLL model is adopted to construct the guided image for the guided filtering, which can provide better structural information for the guided filtering. Meanwhile, with the secondary smoothing of guided image filtering in image homogenization areas, we can improve the noise suppression effect in those areas while reducing the ladder effect brought about by the EPLL. The experimental results show that it not only retains the excellent performance of EPLL, but also produces better visual effects and a higher peak signal-to-noise ratio by adopting the proposed method.

A Study on the Content Knowledge via Analysis of Elementary Teachers' Cognition about Fundamental Figures(point, line segment, angle) (점, 선분, 각에 대한 초등교사의 인식분석에 따른 내용학적 고찰)

  • Cboi, Keun-Bae;Kim, Hae-Gyu;Kim, Dae-Jin
    • The Mathematical Education
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    • v.50 no.1
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    • pp.27-40
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    • 2011
  • The purpose of this paper is to analyze and discuss the viewpoint dealing with the fundamental figures-point, line segment, and angle-of elementary school teachers. In fact, our main subjects in this article are as follows; how do elementary school teachers deal with the fundamental figures?, what is the general notion about the fundamental figures of elementary school teachers? Our such subjects come from the survey results about the 'fundamental figures in J. A. Ko(2009); the elementary school students have a tendency to regard the fundamental figures as not mathematical figures. In this article, we discuss mainly the meta-cognitive shift in the transform of notion, for example, from 'congruent' concept to 'equal' concept, about the fundamental figures.

COMMON FIXED POINT THEOREMS FOR WEAKLY COMPATIBLE MAPPINGS WITHOUT CONTINUITY IN MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana
    • The Pure and Applied Mathematics
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    • v.10 no.2
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    • pp.133-144
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    • 2003
  • The aim of this paper is to prove some common fixed point theorems for the class of compatible maps to larger class of weakly compatible maps without appeal to continuity in Monger spaces and we also give a set of alternative conditions in place of completeness of the space. We improve and extend the results of Dedeic & Sarapa [A common fixed point theorem for three mappings on Monger spaces. Math. Japon. 34 (1989), no. 6,919-923] and Rashwan & Hedar [On common fixed point theorems of compatible mappings in Monger spaces. Demonstratio Math. 31 (1998), no. 3, 537-546].

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Regularization Parameter Selection for Total Variation Model Based on Local Spectral Response

  • Zheng, Yuhui;Ma, Kai;Yu, Qiqiong;Zhang, Jianwei;Wang, Jin
    • Journal of Information Processing Systems
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    • v.13 no.5
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    • pp.1168-1182
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    • 2017
  • In the past decades, various image regularization methods have been introduced. Among them, total variation model has drawn much attention for the reason of its low computational complexity and well-understood mathematical behavior. However, regularization parameter estimation of total variation model is still an open problem. To deal with this problem, a novel adaptive regularization parameter selection scheme is proposed in this paper, by means of using the local spectral response, which has the capability of locally selecting the regularization parameters in a content-aware way and therefore adaptively adjusting the weights between the two terms of the total variation model. Experiment results on simulated and real noisy image show the good performance of our proposed method, in visual improvement and peak signal to noise ratio value.

A Study on the Development of Teaching-Learning Materials for Gradient Descent Method in College AI Mathematics Classes (대학수학 경사하강법(gradient descent method) 교수·학습자료 개발)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.467-482
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    • 2023
  • In this paper, we present our new teaching and learning materials on gradient descent method, which is widely used in artificial intelligence, available for college mathematics. These materials provide a good explanation of gradient descent method at the level of college calculus, and the presented SageMath code can help students to solve minimization problems easily. And we introduce how to solve least squares problem using gradient descent method. This study can be helpful to instructors who teach various college-level mathematics subjects such as calculus, engineering mathematics, numerical analysis, and applied mathematics.