• Title/Summary/Keyword: Korean High School Mathematics Curriculum

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Analysis of Recognition and Needs for Parents in Elementary, Middle, and High Schools for Mathematics Education (초·중등 학부모 대상 수학교과 인식 및 요구 조사)

  • Lee, Hyeung Ju;Kim, Hyeongsik;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.35 no.3
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    • pp.213-231
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    • 2021
  • This study is intended to investigate contents related to parents' perception and satisfaction level of school mathematics curriculum. Based on the results, this study intended to deduce implications for mathematics education in schools, child education, and parent education. According to the result of the survey, the more positively the parents perceived the value of the mathematics learning, the more positively the child perceived, and the higher the parent's participation rate in mathematics-related education was. In terms of perception of teaching and learning activities, it showed that the willingness to participate in educational programs was lower for the parents of middle and high school students than the parents of elementary school students and the parents of elementary school students also showed higher satisfaction level of school mathematics curriculum. parents have perceived the necessity of teaching and mathematics education to develop artificial intelligence or data analysis skills. It was also found that the parents of middle and high school students' participation experience in education had an effect on the satisfaction level of their children's math teacher's class preparedness. Parents perceived positively to how pragmatic mathematics curriculum can be and provided answers to what they wish in specific mathematics classes in learning methods and future mathematics learning. As this is for educational experts to consider much in-depth in the future, this study suggested the need for diverse parents' education related to mathematics including the expansion of mathematics education with parents' participation, the creation of a mathematics learning environment for future mathematics learning.

Analysis of teaching and learning contents of matrix in German high school mathematics (독일 고등학교 수학에서 행렬 교수·학습 내용 분석)

  • Ahn, Eunkyung;Ko, Ho Kyoung
    • The Mathematical Education
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    • v.62 no.2
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    • pp.269-287
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    • 2023
  • Matrix theory is widely used not only in mathematics, natural sciences, and engineering, but also in social sciences and artificial intelligence. In the 2009 revised mathematics curriculum, matrices were removed from high school math education to reduce the burden on students, but in anticipation of the age of artificial intelligence, they will be reintegrated into the 2022 revised education curriculum. Therefore, there is a need to analyze the matrix content covered in other countries to suggest a meaningful direction for matrix education and to derive implications for textbook composition. In this study, we analyzed the German mathematics curriculum and standard education curriculum, as well as the matrix units in the German Hesse state mathematics curriculum and textbook, and identified the characteristics of their content elements and development methods. As a result of our analysis, it was found that the German textbooks cover matrices in three categories: matrices for solving linear equations, matrices for explaining linear transformations, and matrices for explaining transition processes. It was also found that the emphasis was on mathematical reasoning and modeling when learning matrices. Based on these findings, we suggest that if matrices are to be reintegrated into school mathematics, the curriculum should focus on deep conceptual understanding, mathematical reasoning, and mathematical modeling in textbook composition.

Experimental Approaches to Definite Integration with Numerical Integration (수치적분에 의한 정적분으로의 실험적 접근)

  • 좌창보;김철수
    • The Mathematical Education
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    • v.37 no.1
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    • pp.101-114
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    • 1998
  • In this thesis, We tried to introduce definite integration to the curriculum of high school mathematics with numerical integration, which had been introduced with quadrature method. For this purpose, We used new experimental mathematics approaches, so-called investigation and examination. In chapter II, We examined how much computers had been used in teaching mathematics. In chapter III, We presented the theoretical background of approximation integration within numerical integration. In chapter IV, We studied and compared various methods of numerical integration, and examined the relation between curvature of a curved line and numerical integration. In order to study more easily, We used some of computer programs. We hope that this thesis will be a turning point in developing new teaching methods and improving curriculum of mathematics in high school.

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Instrumental Genesis of Computer Algebra System(CAS) in Mathematical Problem Solving among High School Students (고등학교 수학 문제해결에서 CAS의 도구발생)

  • Han, Se-Ho;Chang, Kyung-Yoon
    • School Mathematics
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    • v.11 no.3
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    • pp.527-546
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    • 2009
  • This study was designed to gain insights into instrumental genesis process of CAS in Korean high school students and to explore its practical potentials in secondary mathematics education. Two activities, such as Concept-Centered Mathematics Activity based on CAS and Problem Solving Activities, were constructed and executed to 10th Grade seven students for twelve class hours. The finding on the students' activities are as follows : it is meaningful in mathematics education, especially in algebra education, in that the CAS based concept centered mathematics activity offers great opportunities to deal with high-qualified application problems. The problem solving activities based on the instrumented CAS may have an influence on the sequence of mathematics curriculum, e.g. the optimization problems may precede the calculus problems such as derivatives in high school. The results of this study to investigate the instrumental genesis of CAS in mathematical activities will give insights into the secondary mathematics curriculum to prepare the CAS in Korea.

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Exploring Opportunities for Mathematical Modeling in Korean High School Textbooks: An Analysis of Exponential and Logarithmic Function Tasks

  • Hyun Joo Song;Yeonseok Ka;Jihyun Hwang
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.253-270
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    • 2023
  • This study aims to investigate the extent to which Korean high school textbooks incorporate opportunities for students to engage in the mathematical modeling process through tasks related to exponential and logarithmic functions. The tasks in three textbooks were analyzed based on the actions required for each stage in the mathematical modeling process, which includes identifying essential variables, formulating models, performing operations, interpreting results, and validating the outcomes. The study identified 324 units across the three textbooks, and the reliability coefficient was 0.869, indicating a high level of agreement in the coding process. The analysis revealed that the distribution of tasks requiring engagement in each of the five stages was similar in all three textbooks, reflecting the 2015 revised curriculum and national curriculum system. Among the 324 analyzed tasks, the highest proportion of the units required performing operations found in the mathematical modeling process. The findings suggest a need to include high-quality tasks that allow students to experience the entire process of mathematical modeling and to acknowledge the limitations of textbooks in providing appropriate opportunities for mathematical modeling with a heavy emphasis on performing operations. These results provide implications for the development of mathematical modeling activities and the reconstruction of textbook tasks in school mathematics, emphasizing the need to enhance opportunities for students to engage in mathematical modeling tasks and for teachers to provide support for students in the tasks.

Comparisons of Probability and Statistics Education in Mathematics Textbooks in Korea High School

  • Lee, Sang-Bock
    • Journal of the Korean Data and Information Science Society
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    • v.15 no.3
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    • pp.523-529
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    • 2004
  • In Korea, mathematics education has been changed according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare 3 kinds of mathematics textbooks for 10-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in textbooks and distributions of sample means with normal population assumption.

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An investigation in learnability of counter-examples in secondary school mathematics textbooks (고등학교 수학 교과서에서의 반례에 대한 학습가능성 탐색)

  • Oh, Hye Mi;Kwon, Oh Nam
    • The Mathematical Education
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    • v.53 no.1
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    • pp.41-55
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    • 2014
  • In recent years, there has been increasing interest in the pedagogical importance of counter-examples that contradict statements about mathematics education research and the curriculum revision process for high school mathematics courses. Using a literature research method, this study analyzed views about counter-examples according to a method of approach to statements and the classification of counter-examples and their criteria. The study also described the learnability of the content of counter-examples presented in Korean secondary school mathematics textbooks. The results showed that generating many counter-examples enables learners to understand mathematical concepts exactly, construct links between mathematical contents, and have flexible thoughts about mathematical objects. Considering the learnability of counter-examples, the contents of counter-examples in school mathematics textbooks are needed for mathematics teachers and students to generate numerous counter-examples and verify the justification of generating counter-examples in various manners.

Analysis of the Learning Experience of College Students According to the 2015 Revised National Curriculum (문이과 통합형 개정 교육과정에 따른 이공계열 신입생의 고교 수학 및 과학 교과목 학습경험 분석: S 대학교를 중심으로)

  • Sinn, Dongjoo;Kim, Jinho
    • Journal of Engineering Education Research
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    • v.25 no.1
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    • pp.3-11
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    • 2022
  • The purpose of this study is to empirically analyze the learning experiences of high school mathematics and science subjects of new students in science and engineering, and to provide basic data and respond to strengthen basic knowledge of science and engineering students in the future. The subjects of the survey were 481 freshmen in science and engineering at S University. First, as a result of analyzing the learning experiences of freshmen, the geometric subjects were significantly lower, which is the result of students' sensitive responses to transitional changes in the curriculum and SAT system after revision. In science, general elective subjects were higher than career elective subjects, and there was a deviation between science subjects, which is a result of reflecting the diversity and hierarchy of science subjects. Next, as a result of analyzing the difference in learning experience after revision compared to before the revision of the curriculum, the learning experience of Mathematics II increased significantly and the geometry decreased significantly. Both Chemistry I and II increased significantly compared to before the revision, and Earth Science I decreased significantly. This can be seen as a result of strategic choices based on obtaining grades in the CSAT and disadvantages in college entrance exams. As a result of the study, students' sensitive reactions to changes in the high school education environment were confirmed, basic mathematics and science-related courses were opened to alleviate variations in the academic ability due to elective courses, and countermeasures tailored to each university's situation.

A Comparative Analysis of Economic Terms & Function Notations and Function Graphs in High School <Mathematics for Economics>, <Economics> Textbooks (고등학교 수학과 <경제 수학>, 사회과 <경제> 교과서에 나타난 경제 용어, 함수 기호 및 함수 그래프의 비교 분석)

  • Lee, Kyungwon;Kwon, Oh Nam
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.559-587
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    • 2022
  • The purpose of this study is to derive implications for the development of the next curriculum and textbooks by comparing and analyzing the textbooks of the 2015 revised high school mathematics curriculum <Mathematics for Economics> and social studies curriculum <Economics>. In the <Mathematics for Economics> textbooks, economic terms and function notations should be introduced. Additionally, the use of graphs for economic-related functions is different from the use of graphs in mathematics in the <Mathematics for Economics> textbooks. For these reasons, the usage of economic terms, function notations, and function graphs covered in the <Mathematics for Economics> textbooks were compared and analyzed with the usage in the <Economics> textbooks. In the <Mathematics for Economics> textbooks, economic terms that are highly related to mathematics are defined and presented. Contrary to the conventions of mathematics and economics, the function notations in the <Mathematics for Economics> textbooks were used inconsistently because uppercase and lowercase letters were mixed in the function notations. Function graphs in the <Mathematics for Economics> textbooks had differences in the range of values represented by the variables regarding axes and scaling. The <Mathematics for Economics> textbooks did not provide a mathematical interpretation of the translation or slope. In the course of <Mathematics for Economics>, it is necessary to specify considerations for teaching and learning, and assessment in the curriculum to promote students' understanding of mathematics and economics. The descriptions in the curriculum document and textbooks of <Mathematics for Economics> should be supplemented to provide learning opportunities for mathematical interpretation of economics-related contents.

Elementary and Secondary School Teachers' Perspectives of Effective Mathematics Teaching

  • PANG, JeongSuk;KWON, Mi Sun
    • Research in Mathematical Education
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    • v.19 no.2
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    • pp.141-153
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    • 2015
  • This paper compares and contrasts the perspectives of effective mathematics teaching by 135 elementary school teachers, 132 middle school teachers, and 124 high school teachers using a questionnaire in South Korea. All groups of teachers chose in common the teaching and learning strand as the most important for effective mathematics instruction. However, elementary school teachers placed greater importance on the curriculum and content strand than their counterparts did. Elementary school teachers tended to agree more upon the 48 items related to good mathematics teaching than their counterparts did. The similarities and differences among the groups of teachers are expected to provoke discussion of what constitutes high-quality mathematics instruction and how such perspectives may be situated in the socio-cultural context.