• 한국수학교육학회지시리즈A:수학교육
• /
• 제56권2호
• /
• pp.213-234
• /
• 2017

The purpose of this study is to examine the perceptions and needs of the 2015 revised curriculum for elementary school teachers and to draw implications for the application of the 2015 revised mathematics curriculum. For this, the major changes in the 2015 revised mathematics curriculum were examined. Major changes in the 2015 revised mathematics curriculum are as follows: 1) Introduce and emphasize mathematical competencies, 2) Restructure the content system, 3) Reduce mathematics contents to teach, 4) Emphasize the learner's affective domain, 5) Emphasize the use of technology, 6) Improve teaching and learning methods and evaluation methods. Also, a survey was conducted for elementary school teachers to analyze the perceptions and demands of the 2015 Revised Mathematics Curriculum. The contents of the survey are consisted of contents of the teachers' awareness of the main changes of the 2015 Revised Curriculum and their demands to implement the 2015 Revised Curriculum in schools. Finally, conclusions and suggestions were drawn based on the survey results. The conclusions and suggestions are as follows: 1) there is a lack of teachers' awareness of the 2015 Revised Curriculum, 2) Support for mathematics curriculum competencies is needed, 3) A variety of teaching and learning materials are needed for emphasizing the learner's affective domain, using the technology, and improving teaching and learning methods and evaluation methods.

• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제28권3호
• /
• pp.339-352
• /
• 2014

본 연구에서는 2009 개정 교육과정에 따른 수학과 교육과정에서 도입한 미분방정식 지도를 위한 수학적 모델링을 소개한다. 2014년에 1개 출판사만으로 출간된 '고급수학 II'의 교과서는 이계미분방정식 y"+y=0의 풀이를 거듭제곱 급수 방법을 사용하고 있다. 이에 따른 문제점을 알아보고 그 대안을 제시한다. 또한, 고급수학 II 교과서는 기계적 시스템을 다루고 있지만 전기적 시스템은 다루지 않고 있다. 따라서 교과서에서 다루는 일 계미분방정식을 전기회로로 지도하는 방안을 제시한다. 끝으로 미분방정식 지도와 관련된 용어를 제시한다.

• 아동학회지
• /
• 제36권5호
• /
• pp.95-113
• /
• 2015

This study aimed to develop and validate a scale which could be used to evaluate mathematical interactions of parents with their young children. The subjects comprised 408 mothers of 4-6-year-old children. Means, standard deviation, $x^2$, Cramer's V, exploratory factor analysis, confirmatory factor analysis, Pearson correlations, and Cronbach's ${\alpha}$ were calculated. First, 49 items were developed through a review of relevant research, parent interviews, confirmation of item adequacy and content validity. These items were then edited down to a final list of 24 items representing 4 factors identified by exploratory factor analysis. Second, this 24-item. 4-factor scale was shown to have adequate construct validity, norm validity, and reliability by confirmatory factor analysis, Pearson correlation analysis, Cronbach's ${\alpha}$. In conclusion, the final mathematical interaction scale for young children's parents was composed of 24 items with 4 factors: "interaction regarding numbers and operations, measurements, and patterns", "interaction regarding data collection and result presentation", "interaction with picture books", and "interaction regarding shapes and figures"

• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제23권3호
• /
• pp.507-522
• /
• 2009

일반적으로 종이접기를 하고 그 종이를 다시 펼치면 흔적이 남는다. 직사각형의 종이를 이용하여 얻을 수 있는 수학적 사실과 프로그램을 접목해 보았다. 사각형의 종이를 접는 방향에 따라 골과 등성이의 형태가 다양하게 나타나며 이런 종이 모양의 흔적을 (0,1)코드와 (0,1)행렬을 이용하여 4종류로 분류하고 연구하였다. 따라서 이런 사각형 종이접기의 흔적을 보고 거꾸로 어떻게 접는지를 귀납적 추론력을 통해 코드와 종이접기의 흔적의 관계를 탐구하였다. 마지막으로 이 내용을 수학프로그램을 계발하였고 현장에서 실습을 할 수 있다.

• Geomechanics and Engineering
• /
• 제29권5호
• /
• pp.549-565
• /
• 2022

Severe acid rains can be a major source for geotechnical and environmental problems in any soil depending on the acid type and concentration. Hence, this study investigates the individual severe effects of sulfuric, hydrochloric and nitric acids on the geotechnical properties of real field soil through a series of experimental laboratory tests. The laboratory program consists of experimental tests such as consistency, compaction, unconfined compression, pH determination, electrical conductivity, total dissolved salts, total suspended solids, gypsum and carbonates contents. The experimental tests have been performed on the untreated soil and individual acid treated soil for acid concentrations range of 0% to 20% by weight. In addition, a unique hyperbolic mathematical model has been used to predict significant geotechnical characteristics for acid treated soil. The plastic and liquid limits and optimum moisture content have been increased under the effect of all the used acids whereas the maximum dry density and unconfined stress-strain behavior have been decreased with increasing the acid concentrations. Moreover, the used hyperbolic mathematical model has predicted all the geotechnical characteristics very well with a very high coefficient of determination (R²) value and lowest root mean square error (RMSE) estimate.

• 한국수학교육학회지시리즈C:초등수학교육
• /
• 제27권2호
• /
• pp.139-153
• /
• 2024

본 연구는 초등 수학 교과서와 관련하여 입체도형의 지도와 관련된 교수학적 시사점을 제시하고자 하였다. 국정 1종 및 검정 10종의 교과서를 분석하였으며 각기둥과 각뿔 단원 내 수학적 개념의 정의와 시각적으로 표현된 예시를 분석하였다. 분석 결과, 동일한 교육과정이 반영되었음에도 불구하고 수학적 개념의 정의 방법 및 내용이 다르게 나타났다. 또한, 각기둥과 각뿔을 학습하는 과정에서 다양한 형태로 표현된 시각적 예시가 제공되었다. 본 연구의 결과를 바탕으로 수학적 개념의 정의를 이해하고 학생에게 적절한 방식으로 지도할 필요가 있으며 시각적 예시를 제시하는 과정에서 각 차시의 목표 및 활동의 목표를 고려하여야 한다는 시사점을 도출하였다.

• East Asian mathematical journal
• /
• 제40권2호
• /
• pp.149-166
• /
• 2024

This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the five types of mathematics competencies such as problem solving, communication, reasoning, connection, information and handling, which were emphasized in the mathematical curriculum revised in 2022. By the result, ten domains such as an instruction involving instruction goal and content, problem-solving competency, data treatment competency, learners' achievement level and attitude, communication competency, reasoning competency, connection competency, the assessment method and procedure based on the competency, the assessment tool development based on the competency, assessment result based on the competency were new established. According to those domains, the total 20 instructional evaluation standards were developed. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.

• 한국학교수학회논문집
• /
• 제3권1호
• /
• pp.131-148
• /
• 2000

Above all, the ability to solve problems must be emphasized as a basic skill of mathematics, but it is neglected when we teach. In this study, learning task means ［same meaning］ ［same form］ ［same technique］, so I tried to extend mathematical scholastic ability of the students as an extensional problem solving that is a basic element of mathematics. The purpose of this study is the investigation of level type learning, using the basic learning elements to extend thinking ability. From the constructed hypothesis as follows and then implement it. I selected basic learning elements from an analyzed textbook and then task learning material was created for each level type learning. The problem solving ability will be extended through the level type learning of the small group, using the level type learning task material. The conclusions this study are as follows. The level type learning in small group learning, using and making level type learning material, having basic learning elements in analysed text are. Basic learning content is understood clearly and deeply, so, fundamentally, it is effective in achieving the problem solving in mathematics. It is an effective method to achieve the meta-cognitive faculty because achieved the expected method of solving problems and resulted in the true learning of content.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제55권4호
• /
• pp.485-501
• /
• 2016

This study was to explore the factors that mathematics teachers actually need to improve their students' creativity and character to pursue education in the direction of the revised curriculum. We first temporarily extracted the elements to reinforce mathematics teachers' professionalism for creativity and character education through literature review, and then conducted the modified delphi technique and interview by targeting secondary school mathematics teachers. Based on the discussion of previous studies, we divided into five areas for mathematics teachers' professional development of creativity and character education: 1. understanding of creativity and character education, 2. creating an environment, 3. understanding curriculum for creativity and character education, 4. instructional design and apply for creativity and character education, 5. evaluating for creativity and character education. Actually content elements highly required by mathematics teachers were reset 17 items. The results of this study are expected to be used as the basis for teachers' professional development of creativity and character education in mathematics education.

• Journal of Biosystems Engineering
• /
• 제43권4호
• /
• pp.369-378
• /
• 2018

Purpose: The aim of this study was to construct a saponin content-predicting model using shortwave infrared imaging spectroscopy. Methods: The experiment used a shortwave imaging spectrometer and ENVI spectral acquisition software sampling a spectrum of 910 nm-2500 nm. The corresponding preprocessing and mathematical modeling analysis was performed by Unscrambler 9.7 software to establish a ginsenoside nondestructive spectral testing prediction model. Results: The optimal preprocessing method was determined to be a standard normal variable transformation combined with the second-order differential method. The coefficient of determination, $R^2$, of the mathematical model established by the partial least squares method was found to be 0.9999, while the root mean squared error of prediction, RMSEP, was found to be 0.0043, and root mean squared error of calibration, RMSEC, was 0.0041. The residuals of the majority of the samples used for the prediction were between ${\pm}1$. Conclusion: The experiment showed that the predicted model featured a high correlation with real values and a good prediction result, such that this technique can be appropriately applied for the nondestructive testing of ginseng quality.