• Title/Summary/Keyword: Ability of the mathematics problem-solving

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A study of ways using calculator in elementary mathematics textbook (교과서에서 계산기의 활용 방안)

  • Ahn Byoung Kon;Kim Yong Tae
    • Journal of Elementary Mathematics Education in Korea
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    • v.2 no.1
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    • pp.23-40
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    • 1998
  • Recent years have seen an increased demand for calculators as a learning and teaching tool. It is asserted calculators should be utilized as an instructional tool before computers considering their lower price, connivence of easy, and variety of function. Towards this end, it is essential that we persuade teachers and parents who worry that the use of calculators would result in a decrease in students' ability to calculate. Specifically, effort should be made to point out the advantage that calculators have. First of all, calculators could lessen the mental and time pressure attendant upon paper-and-pencil calculation. It have also been reported that calculators are effective in teaching the concept unalgorithmal content, learning of principle, and problem-solving skills, In light of these advantages, this study investigates the kinds of practice items that can be included in the textbooks to help students develop computing skills using calculators.

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An analysis of characteristics of the perception for mathematics learning of Korean language learners in 6th grade of elementary school (초등학교 6학년 한국어학습자의 수학 학습에 대한 인식의 특성 분석)

  • Do, Joowon
    • The Mathematical Education
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    • v.60 no.4
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    • pp.529-542
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    • 2021
  • The purpose of this research is to compare the mathematical beliefs that directly or indirectly affect the mathematics learning of Korean languge learners with those of non-Korean languge learners and identify the characteristics. To this end, an analytical comparative research was conducted through a questionnaire survey on perceptions of mathematics learning for 6th grade students of elementary school with different cultural and linguistic backgrounds in the same mathematics classroom. As a result of the analysis, Korean languge learners and non-Korean languge learners gave different meanings to learning mathematics, and they recognized various meanings of success in mathematics. In addition, the math learning ability of non-Korean learners was evaluated higher than that of Korean learners. Based on their positive beliefs, they decided how to resolve conflict situations with different problem-solving results. It will be necessary to prepare a teaching/learning plan that can fully implement multicultural mathematics education in the mathematics classroom where Korean language learners with different cultural and linguistic backgrounds belong. The results of this research can contribute to raising awareness of the need for follow-up researches to find ways to reduce the learning gap between Korean languge learners and non-Korean languge learners. It is expected that this research will contribute to understanding the perceptive characteristics of Korean language learners about learning mathematics and to prepare a plan to utilize them in mathematics lessons.

Design and Implementation of an Problem-Solving Based and Self-Directed Learning System on Web (웹에서 문제 해결 기반 및 자기 주도적학습 시스템의 설계와 구현)

  • Kim, Kyung-Deok;Lee, Sang-Woon
    • Journal of Korea Multimedia Society
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    • v.7 no.7
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    • pp.944-955
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    • 2004
  • The modern society as a high-level information-oriented society lays a great emphasis on lifelong education. It emphasizes all the learners' creative learning ability and various teaching-learning methods as well. We need the self-directed learning to meet these requirements, and one of the solutions is the self-directed teaching-learning process employing the web. Though many educators, so far, developed a number of teaching materials, they are no more than web-based teaching materials for simple learning activities or simple item-bank systems. So, this paper suggests an problem-solving based and self-directed learning system on web in order to overcome such simplicities, and it shows design and implementation of the system. Suggested learning system enables learners to get thinking skill though self-directed control of learning level after they learn the basic concepts and principles on the web as self-directed learning. For example, the system was applied to mathematics education for a middle school students. It supports a test of questions chosen from the item bank in a self-directed way, and helps learners to understand their learning levels for themselves and to solve their questions through on-line discussions with their instructor. The system can also be helpful in improving the learners' learning effects by sharing mutual information through the data room or the Q&A between learners and learners or between learners and instructors.

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A Comparative Study of New Curriculum Between Korea and Japan in Elementary Mathematics (한ㆍ일간의 초등학교 수학과 새교육과정 비교연구)

  • Ha Tae-Sung
    • Journal of Elementary Mathematics Education in Korea
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    • v.5 no.1
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    • pp.37-53
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    • 2001
  • This paper tries to find out about organizational and managemental aspect of Korean curriculum through a comparison between Korea's 7th elementary mathematics curriculum and that of Japan's elementary mathematics curriculum, which will start in m2 through researching various literatures. The main characteristic of this elementary mathematics curriculum is that Korea has organized a teaming program that tended to individual differences, and focused on student-centered activities and communication based on constructivism. On the other hand, Japan reduced learning contents a lot by running 5-schooldays a week so that 80% of teaching time can be spent to help the students master mathematical contents of the textbook. This leaves 20% of teaching time to be used for improving mathematical thinking power as a foundation of creativity through mathematical activities. Korea's teaching time spent for elementary mathematics is about 80% of Japan's, which is also less than that of other country's. Less time in teaming mathematics will lead to decrease in teaming ability. Therefore, there is a need for increased teaching time in mathematics. Korea's revision of curriculum is about 5 years which is often compared to that of Japan's 10 years. Frequent revising is good in that it reflects the social demand, but it can cause much confusion and problems in accepting and applying its program in a real classroom setting, which is why it needs to be looked at again. The direction, objective and assesment of revision fits the demands of international trends and essentials of mathematics. Japan puts its emphasis on learning through repetition and Korea puts its emphasis on problem solving and communication. Regarding assesment, both Korea and Japan is looking for ways to find various assessing ways which will focus on mathematical process rather than the mathematical results, and also will put emphasis on criterion-directed assesment to measure goal achievements. However Japan emphasize on using report cards of assesment to help mathematics learning.

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Design of the STEAM Integrated Curriculum based on Project-based Learning -Focus on Android-based Learning Content Development and Utilization- (프로젝트 기반 학습의 STEAM 융합 교육과정 설계 -안드로이드 기반 동력 전달 학습 콘텐츠 개발 및 활용 중심으로-)

  • Kim, Eun-Gil;Kim, Jong-Hoon
    • Journal of The Korean Association of Information Education
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    • v.15 no.4
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    • pp.551-560
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    • 2011
  • STEAM education is a topic-based curriculum to integrate the concepts into other subjects such as science, technology, engineering, art and mathematics in order to improve the students' interesting, understanding, integrated thinking and problem solving ability. In this paper, we designed STEAM curriculum in the form of Project-based Learning and developed the material for elementary students. We also developed the android-based application through searching for a utilization of IT simulation for enhancement the students' Project-based Learning effect.

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A Comparative Study of Statistical Processes in Korean and U.S. Middle School Mathematics Textbooks (한국과 미국 중학교 수학 교과서의 통계적 문제해결과정 비교연구)

  • Jeon, Hyewon;Kim, Rae Young
    • Communications of Mathematical Education
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    • v.33 no.4
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    • pp.425-444
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    • 2019
  • Comparing to the U.S. mathematics textbooks, this study examines the opportunity to learn statistical processes represented in mathematics textbooks reflecting 2015 revised curriculum. Analyzing four different kinds of Korean middle school mathematics textbooks and two kinds of corresponding U.S. textbooks for seventh graders, we found that the tasks dealing with all the phases of statistical processes were found only in the U.S. textbooks while not even one task in such a case was not observed in the Korean textbooks. To make matters worse, the proportion of the tasks dealing with only one phase of statistical processes was 93.3% of all the tasks in Korean textbooks. In terms of types of tasks, the types of tasks were very homogeneous in Korean textbooks, usually Types FPR or PR while more various types of tasks were found in the U.S. textbooks such as Types FRI, PRI, FR, or RI. In views of features of each phase in statistical processes, Korean textbooks heavily focused only on some particular statistical behaviors such as 'formulating a problem', 'collecting data', 'transforming data', and 'analyzing a part of data.' The findings of this study provide meaningful implications for improving statistics education and developing mathematics textbooks to enhance students' statistical thinking and problem-solving ability.

Identification and Selection the Mathematically Gifted Child on the Elementary School Level (초등 수학 영재의 판별과 선발)

  • 송상헌
    • Journal of Gifted/Talented Education
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    • v.11 no.2
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    • pp.87-106
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    • 2001
  • Identification and selection the mathematically gifted child must be based on it's definition. So, we have to consider not only IQ or high ability in mathematical problem solving, but also mathematical creativity and mathematical task commitment. Furthermore, we must relate our ideas with the programs to develop each student's hidden potential. This study is focused on the discrimination of the candidates who would like to enter the elementary school level mathematics gifted education program. To fulfill this purpose, I considered the criteria, principles, methods, and tools. Identification is not exactly separate from selection and education. So, it is important to have long-term vision and plan to identify the mathematically gifted students.

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Comparative Study on Mathematics Curriculum and Contents of Early Childhood Education in Korea and the United States based on Common Core State Standards(CCSS) and New Jersey Preschool Standards (한국과 미국의 유아 수학교육과정 내용 비교 연구: Common Core State Standards 및 뉴저지 주 Preschool Standards를 중심으로)

  • Yu, Sun-young
    • Korean Journal of Comparative Education
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    • v.28 no.3
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    • pp.333-354
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    • 2018
  • The study aimed to compare and analyze Nuri curriculum and contents for mathematics in Korea and the Common Core State Standards(CCSS) and New Jersey Preschool Standards for mathematics in the United States. With the results as basis, this study intended to provide suggestions and directions for improving Nuri curriculum of mathematics for young children. For the goal of this study, educational goals, categories of contents, and specific contents were reviewed. First, results of this study indicated that Nuri curriculum for mathematics provides comprehensive educational goals that promote problem-solving ability in everyday contexts with composing mathematical knowledge. On the contrary, CCSS and Preschool Standards provide specific educational goals that focus on children's mathematical skills and concepts. Second, the contents of both countries' curriculum concentrate on 'counting and cardinality', 'measurement', and 'spatial and geometric sense.' There are 5 categories of CCSS, 4 categories of Preschool Standards based on CCSS and one category of Nuri curriculum for mathematics. Third, there are the differences between the two countries' curriculum in continuity from kindergarten to first grade and description method for curriculum.

An Analysis on Behavior Characteristics between Gifted Students and Talented Students in Open-end Mathematical Problem Solving (개방형 문제 해결과정에서 수학 영재아와 수학 우수아의 행동특성 분석)

  • Shin In-Sun;Kim See-Myung
    • Communications of Mathematical Education
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    • v.20 no.1 s.25
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    • pp.33-59
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    • 2006
  • This study is intended to reconsider the meaning of the education for gifted/talented children, the foundation object of science high school by examining the behavior characteristics between gifted students and talented students in open-end mathematical problem solving and to provide the basis for realization of 'meaningful teaming' tailored to the learner's level, the essential of school education. For the study, 8 students (4 gifted students and 4 talented students) were selected out of the 1 st grade students in science high school through the distinction procedure of 3 steps and the behavior characteristics between these two groups were analyzed according to the basis established through the literature survey. As the results of this study, the following were founded. (1) It must be recognized that the constituent members of science high school were not the same excellent group and divided into the two groups, gifted students who showed excellence in overall field of mathematical behavior characteristics and talented students who had excellence in learning ability of mathematics. (2) The behavior characteristics between gifted students and talented students, members of science high school is understood and a curriculum of science high school must include a lesson for improving the creativity as the educational institutions for gifted/talented students, unlike general high school. Based on these results, it is necessary to try to find a support plan that it reduces the case which gifted students are generalized with common talented students by the same curriculum and induces the meaningful loaming to learners, the essential of school education.

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A Study of Secondary Mathematics Materials at a Gifted Education Center in Science Attached to a University Using Network Text Analysis (네트워크 텍스트 분석을 활용한 대학부설 과학영재교육원의 중등수학 강의교재 분석)

  • Kim, Sungyeun;Lee, Seonyoung;Shin, Jongho;Choi, Won
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.465-489
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    • 2015
  • The purpose of this study is to suggest implications for the development and revision of future teaching materials for mathematically gifted students by using network text analysis of secondary mathematics materials. Subjects of the analysis were learning goals of 110 teaching materials in a gifted education center in science attached to a university from 2002 to 2014. In analysing the frequency of the texts that appeared in the learning goals, key words were selected. A co-occurrence matrix of the key words was established, and a basic information of network, centrality, centralization, component, and k-core were deducted. For the analysis, KrKwic, KrTitle, and NetMiner4.0 programs were used, respectively. The results of this study were as follows. First, there was a pivot of the network formed with core hubs including 'diversity', 'understanding' 'concept' 'method', 'application', 'connection' 'problem solving', 'basic', 'real life', and 'thinking ability' in the whole network from 2002 to 2014. In addition, knowledge aspects were well reflected in teaching materials based on the centralization analysis. Second, network text analysis based on the three periods of the Mater Plan for the promotion of gifted education was conducted. As a result, a network was built up with 'understanding', and there were strong ties among 'question', 'answer', and 'problem solving' regardless of the periods. On the contrary, the centrality analysis showed that 'communication', 'discovery', and 'proof' only appeared in the first, second, and third period of Master Plan, respectively. Therefore, the results of this study suggest that affective aspects and activities with high cognitive process should be accompanied, and learning goals' mannerism and ahistoricism be prevented in developing and revising teaching materials.