• Title/Summary/Keyword: 수학문제해결능력

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Designing Content Elements of the Programming Curriculum as a Instrumental Subject for Gifted Science High School (과학영재 고등학교 도구교과로서의 프로그래밍 교육과정 내용요소 설계)

  • Kim, JongHye
    • The Journal of Korean Association of Computer Education
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    • v.17 no.4
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    • pp.1-11
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    • 2014
  • In this study, contents of programming curriculum were designed as instrumental subjects for scientifically gifted students, not for IT gifted ones. Firstly, the programming curriculum consisted of 3 sections; Programming Understanding, Object-Oriented Programming, and Simulation Programming as a result of two semesters. Then, the lectures including project-based and problem-solving tasks were given to scientifically gifted students in a high school during one semester to verify whether they could apply the contents to studies and researches in math or science or not. As a result of this study, the students could improve numerical analysis and simulation program development capabilities in math or science as well as the problem-solving ability based on computational thinking. Moreover, it was proved that the students changed their perception about programing learning. They started to think that programing learning was necessary to studies and researches in math or science. The results of this study propose guideline to design programming curriculum as instrumental subjects for scientifically gifted students.

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A case study on the impact of the concept of the common divisor on relational understanding of the common multiple and least common multiple (공약수의 Schema가 공배수와 최소공배수의 관계적 이해에 미치는 영향에 대한 사례연구)

  • Kim, Hwa Soo
    • Education of Primary School Mathematics
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    • v.15 no.3
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    • pp.201-218
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    • 2012
  • In this study, the following topics were investigated targeting elementary school students: Schema formed through precise notion of cognitive and the connection of the concepts when studying common divisor, common multiple, and the lowest common multiple, configuration ability and problem solving of the students when learning using a modified schema, how the schema of the student to advance to a higher level, and how the deformation of the schema is carried out student's configuration of concept and problem solving ability. As a result, it was found out that cognition about precise concept, schema and the modified schema are important factors when a primary concept was developed into a secondary concept, and play important roles when the connection and the formation of the modified schema created by cognition about the precise primary concept rather than by the formation of the secondary concept (formation of the secondary schema) created by the connection between the primary concept.

Adults' perception of mathematics: A narrative analysis of their experiences in and out of school (수학에 대한 성인들의 인식: 학교 안팎에서의 수학적 경험에 대한 내러티브 탐구)

  • Cho, Eun Young;Kim, Rae Young
    • The Mathematical Education
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    • v.61 no.3
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    • pp.477-497
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    • 2022
  • The rapidly changing world calls for reform in mathematics education from lifelong learning perspectives. This study examines adults' perception of mathematics by reflecting on their experiences of mathematics in and out of school in order to understand what the current needs of adults are. With the two questions: "what experiences do participants have during their learning of mathematics in schools?" and "how do they perceive mathematics in their current life?", we analyzed the semi-structured interviews with 10 adults who have different sociocultural backgrounds using narrative inquiry methodology. As a result, participants tended to accept school mathematics as simply a technique for solving computational problems, and when they had not known the usefulness of mathematical knowledge, they experienced frustration with mathematics in the process of learning mathematics. After formal education, participants recognized mathematics as the basic computation skill inherent in everyday life, the furniture of their mind, and the ability to efficiently express, think, and judge various situations and solve problems. Results show that adults internalized school education to clearly understand the role of mathematics in their lives, and they were using mathematics efficiently in their lives. Accordingly, there was a need to see school education and adult education on a continuum, and the need to conceptualize the mathematical abilities required for adults as mathematical literacy.

A Cross-National Study of Calculus Students' Understanding of the Funciton Concept (함수 개념의 이해에 대한 비교 연구)

  • 윤석임
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.753-762
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    • 1998
  • This Paper reports results of investigating the relationship between students' perfoonance and mathematics imtructiooal system in understanding of the function concept. A written examination measuring calcullli students' understanding of the fimction concept was administered to two groups of students whose educatiooal oockground were different. One group consists of students who completed a pre-calculus course in Korea and the other group completed the same course in the United States. This study investigates how students in two groups acquire an understanding of major aspects of the function concept and provided interesting insights regarding the different background and belief related to their performance. Follow-up interviews were conducted to identify possible explanations for the different performance of the two groups in understanding the function concepts. Results indicate that the differences came from the educational environment and individual belief.

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Grade 4, 5, and 6 Students' Making Sense of Graphs (초등학교 4·5·6학년 학생들의 그래프 이해 능력 조사)

  • Lee, Jami;Ko, Eun-Sung
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.1
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    • pp.169-192
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    • 2019
  • This study investigates how well grade 4, 5, and 6 students understand graphs before formal education is done on graphs. For this, we analyzed students' understanding of graphs by classifying them into 'reading data', 'finding relationships between data', 'interpreting data', and 'understanding situations' based on previous studies. The results show that the students have good understanding of graphs that did not have formal education. This suggests that it is necessary to consider the timing of the introduction of the graph. In addition, when we look at the percentage of correctness of each graph, it is found that the understanding of the line graph is weaker than the other graphs. The common error in most graphs was that students relied on their own subjective thoughts and experiences rather than based on the data presented.

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Development of a teaching-learning model for effective algorithm education (효과적인 알고리즘 교육을 위한 교수-학습 모형 개발)

  • Han, Oak-Young;Kim, Jae-Hyoun
    • The Journal of Korean Association of Computer Education
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    • v.14 no.2
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    • pp.13-22
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    • 2011
  • The importance of algorithm education has been emphasized for creative problem-solving capability. Especially, algorithm teaching materials related with mathematics and science are under development to enhance logical thinking. However, there are not enough teaching-learning models applicable in the field of education. Therefore, this paper proposed a teaching-learning model for effective algorithm education. The teaching-learning model reflects two characteristics : an algorithm learning process is spiral, and algorithm education is based on logical thinking. Furthermore, a survey was conducted for students' satisfaction, and the result was a mixed teaching-learning model with PBL, SDL, and peer tutoring. Based on the proposed model, examples of classes for mathematics and science are suggested to show the feasibility of effective algorithm education.

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A Study on the Effects of the Peer Tutoring on Mathematical Inclination And Mathematical Communication Ability of Peer Tutors (또래교수가 또래교사의 수학적 성향과 수학적 의사소통능력에 미치는 영향)

  • Jung, Mi-Jin;Kwon, Sung-Yong
    • School Mathematics
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    • v.13 no.1
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    • pp.127-153
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    • 2011
  • The purpose of this study was to investigate the effect of peer tutoring on mathematical inclination and mathematical communication ability of peer tutor. For the purpose of this study, research questions were established as follows: 1. How does peer tutoring affect to the mathematical inclination of peer tutors? 2. How does peer tutoring affect to the mathematical communication ability of peer tutors? To answer the research questions, four 5th grade peer tutors were selected for qualitative case study in an elementary school located in Goyang-si, Gyeonggi-do. Before and after 11 weeks of peer tutoring in their mathematics classes, mathematical inclination, mathematical communication ability of peer tutors were examined. For qualitative analysis, peer tutors were asked to complete worksheets, self-evaluation, journal for their peer tutoring in daily basis during the experiment. By comparing the scores in mathematical inclination test and mathematical communication test before and after the treatment and analyzing the data gathered for qualitative analysis, the conclusions were drawn as follows: First, Peer tutoring has positive effects on the mathematical inclination of peer tutors. Scores for mathematical inclination of peer tutors after the treatment increased and qualitative analysis showed positive change in their attitude toward mathematics. Second, Peer tutoring has positive effects on the mathematical communication ability of peer tutors. Scores in the performance assessment for mathematical communication ability of peer tutors after the treatment increased. Also qualitative analysis showed that peer tutors tried to develop various ways to solve a problem and explained them to their peer tutee sophisticatedly.

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A Study on the Application of Situated Cognition Theory in the Mathematics Education (수학교육에서 상황인지이론의 적용 방안)

  • Kim, Sang-Lyong
    • Education of Primary School Mathematics
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    • v.15 no.1
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    • pp.1-11
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    • 2012
  • Unlike traditional cognitive theory, situated cognition theory has been understood as a pedagogical theory that highly reflects the constructivist nature of learning. In order to practice situated learning in school, situations in the classroom are very important in which real teaching and learning occurs. Due to the fact that learning is the process of mental activities which is considerably dependent on conditions and context, it focuses more on the learning process and real-situation experiences rather than the result itself. In mathematics education, teaching students the ability to solve given problems in a conventional way is not enough anymore. The purpose of this research is to suggest the direction of mathematical education in the classroom by analyzing the implications of situated cognition theory and situated learning for 'doing mathematics' in classroom teaching. In this research, we introduce briefly about situated cognition theory and situated learning, compare the phenomenon of mathematics in the classroom to that in the mathematician's mind, and finally propose the applications of situated cognition theory in the mathematics education based on three perspectives of situated cognition theory the embodiment thesis, the embedding thesis, and the extension thesis.

Linear Algebra Teaching in the Digital Age (디지털 시대의 대학수학교육: 선형대수학을 중심으로)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Kyung-Eun
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.367-387
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    • 2017
  • The educational environment in the digital age of the 21st century definitely affects teaching and learning methods to be changed. In addition, the perceptions and methods of mathematics education in the digital age have also been changing. This study proposes a university mathematics education model suitable for the digital age, which makes full use of the internet/digital environment and leads the students to participate in the learning processes. We apply the proposed model to Linear Algebra course, and present a concrete method of teaching and learning model including evaluation. This will be the first study on how to organize and operate digital courses in Korea in accordance with the mathematics education in the digital era which is rapidly spreading around the world.

Research of Pre-Service Science Teachers' Understanding About the Chemistry Concept and Analysis of Incorrect Responses: Focus on Middle School Curriculum (예비 과학교사의 화학 개념에 대한 이해도 조사와 오답 반응 분석: 중학교 교육과정을 중심으로)

  • Lee, Hyun-Jeong;Choi, Won-Ho
    • Journal of the Korean Chemical Society
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    • v.55 no.6
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    • pp.1030-1041
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    • 2011
  • We investigated the understanding of pre-service science teacher about the chemistry concept of middle school curriculum using some items in National Assessment of Educational Achievement and analyzed the result according to background variables of pre-service science teacher. The result was that there were some pre-service science teachers who select incorrect answer at all items, pre-service science teachers don't fully understand the concept needed to solve item. And the percentage of correct answer at some items was low regardless of selection of chemistry as an elective subject at CSAT(College Scholastic Ability Test). We found some facts through the depth interviews to find the cause of the result. First, the misconception acquired in middle school days is tend not to change until college student. Second, the formation of misconception is affected by the study habit with which solve problem by simple calculation and memory without essential understanding. Third, the study habit with which solve problem by simple calculation and memory without essential understanding could not replace misconceptions acquired in middle school days with scientific concept regardless of selection of chemistry as an elective subject at CSAT.