• Title/Summary/Keyword: Mathematics education improvement

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An improvement plan of mathematics academic achievement in the H/W curriculum (하드웨어 전공자들의 수학 관련 교과목 학업성취도 제고 방안)

  • Lee, Seung-Woo
    • Journal of the Korean Data and Information Science Society
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    • v.26 no.4
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    • pp.801-812
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    • 2015
  • The purpose of this study is to increase the interest in mathematics-related curriculum and improve mathematics academic achievement of H/W majors. Firstly, this paper proposes the educational case study that develops the learner's ability, increases the interest and raises the employment rate in the unfavorable mathematics-related fields for the H/W majors. Secondly, this paper presents the future teaching method on mathematics-related curriculum that applies to the actually teaching-learning based on the computer programming in the field of the H/W. Lastly, this paper suggests the promising pedagogical method for mathematics by using the statistical analyses of academic achievements and surveys in order to present the effective conducting method of mathematics education.

A Study on Development of Performance Assessment Tools for Mathematics in the Primary School (초등수학과 수행평가도구 개발 -1, 2학년 포트폴리오를 중심으로-)

  • 정영옥
    • School Mathematics
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    • v.2 no.2
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    • pp.357-388
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    • 2000
  • This study aims to develop performance assessment tools for mathematics in the primary school. In order to achieve this aim, it reviews the tics in the primary school. In order to achieve this aim, it reviews the meaning and the purpose of mathematics performance assessment, and the characteristics of performance assessment tasks. Then the framework for portfolio developed in this study is introduced. This portfolio is called 'mathematical thinking and applying'. It aims at balanced assessment for improvement of mathematics instruction. It is composed of journal writhing, problem by the student, constructed task, work samples, written test, self assessment, teacher's comment and parents' comment. The criteria of performance tasks is categorized in impact, reasoning, accuracy and communication. The procedures of development of these tasks are as follows: the analysis of mathematics curriculum for the primary school, the design of performance tasks with considering teaching unit goals, designing rubrics, discussing these tasks with teachers in primary school, modifying them when is needed, observing the process of children's task performing, interviewing with teachers and final modifying. After performance assessment tasks are implemented, the answers by the students is analyzed using rubrics. Then anchor papers are selected. Also, the errors of children are analyzed. Through the process, teachers can obtain the information of children for improvement of mathematics instruction. Finally in order to generalize this study, I suggest that we need to cooperate with the field of education and to establish expert assessment groups.

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A Research on Teachers' Professional Development of Mathematics (수학 교과 전문성 신장에 대한 소고)

  • Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.16 no.3
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    • pp.389-401
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    • 2012
  • The focus of the present study is on examining a research trend of teachers' professional development in mathematics. In do this, this study investigated the meaning and standards of professional development about mathematics, examining the characteristics of successful mathematics education professional programs, and looking for the processes of teachers' professionalization about mathematics. The findings of this study point out as follows: Teachers' professional development about mathematics implies the improvement of the quality of mathematics instruction following improving the quality of mathematics learning through well-structured mathematics teacher education programs. To do this, teachers need to have shared vision about how to teach mathematics, to have profound knowledge related to the mathematics subject, and to actively participate in teachers' professional development programs in mathematics. The results suggest the common characteristics of successful programs of mathematics teachers' professional development. The results of this study suggest that teachers need to have passion and efforts to improve teachers' professionalization about mathematics, and research on teacher professional development should be based on understanding about teachers. Also, more teacher-researchers to connect educational theories with educational practices are recommended, and a model for teachers' professional development program of mathematics appropriate to the context of Korea needs to be developed.

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The Effects on Mathematical Communication and Disposition for the Writing Mathematics Letters in Secondary Mathematics Education (수학에 관한 편지 쓰기 활동이 고등학생의 수학적 의사소통 및 성향에 미치는 영향)

  • An, Jong-Su
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.163-184
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    • 2010
  • In this paper, we study the effects on mathematical communication and disposition for the writing mathematics letters in secondary mathematics education. For this purpose we construct a experimental class and then analyse the students' change in those aspects after applying writing mathematics letters made some significant changes on the students communication in mathematics and disposition. First. the results for this purpose on regarding the enhancement of mathematical communication are effective. Second, the results on regarding the improvement of disposition are effective.

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A Study of Situated Cognition and Transfer in Mathematics Learning

  • Park, Sung-Sun
    • Research in Mathematical Education
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    • v.3 no.1
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    • pp.57-68
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    • 1999
  • In this paper, we investigate the comparative effectiveness of two kinds of instructional methods in transfer of mathematics learning: one based on the situated cognition, i.e. situated learning (SL) and the other based on traditional learning (TL). Both classes (of grade 2) studied addition and subtraction of 3-digit numbers. After that, they completed two written tests (Written Test 1 included computation problems, Written Test 2 included computation problems and story problems) and a real situation test. As a result, no significant differences were found between the two groups' performance on computation skill in Written Tests 1 and 2. But the SL group performed significantly better on the performance of story problem and real situation test than TL group. This result indicated that the SL made improvement in transfer of mathematics learning. As a result of interviews with 12 children of the SL group were able to use contextual resources in solving real situation as well as story problems.

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What Teachers Consider Important in Lesson Design: Focusing on the Analysis of a Lesson Plan of Elementary Mathematics (교사가 수업 설계에서 중요하게 고려하는 요소: 초등 수학 수업지도안에 대한 분석을 중심으로)

  • Sunwoo, Jin;Pang, JeongSuk;Park, Yejin
    • Communications of Mathematical Education
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    • v.35 no.1
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    • pp.15-36
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    • 2021
  • A well-designed mathematics lesson is the foundation for effective mathematics instruction. Given this significance, this paper focused on analyzing what would be important elements for in-service teachers in planning an elementary mathematics lesson. For this purpose, a total of 27 in-service teachers were asked to write down whatever they would consider important in designing a mathematics lesson. A mathematics lesson plan prepared by a pre-service teacher was provided for the in-service teachers. They were then asked to analyze the strengths of the lesson plan and to provide detailed feedback on how to improve it. The results of this study showed that the in-service teachers tended to analyze the given mathematics lesson plan in terms of what they considered important regarding lesson design. Such elements were specified when the in-service teachers described the strengths and feedback for improvement of the lesson plan. In particular, the aspects of instructional strategies and materials were explained in detail. Based on these results, this paper is expected to provoke discussions on lesson design of in-service teachers and subsequent research.

A Survey of Elementary school teachers' perceptions of mathematics instruction (수학수업에 대한 초등교사의 인식 조사)

  • Kwon, Sungyong
    • Education of Primary School Mathematics
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    • v.20 no.4
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    • pp.253-266
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    • 2017
  • The purpose of the study was to investigate the perceptions of Elementary school teachers on mathematics instruction. To do this, 7 test items were developed to obtain data on teacher's perception of mathematics instruction and 73 teachers who take mathematical lesson analysis lectures were selected and conducted a survey. Since the data obtained are all qualitative data, they were analyzed through coding and similar responses were grouped into the same category. As a result of the survey, several facts were found as follow; First, When teachers thought about 'mathematics', the first words that come to mind were 'calculation', 'difficult', and 'logic'. It is necessary for the teacher to have positive thoughts on mathematics and mathematics learning, and this needs to be stressed enough in teacher education and teacher retraining. Second, the reason why mathematics is an important subject is 'because it is related to the real life', followed by 'because it gives rise to logical thinking ability' and 'because it gives rise to mathematical thinking ability'. These ideas are related to the cultivating mind value and the practical value of mathematics. In order for students to understand the various values of mathematics, teachers must understand the various values of mathematics. Third, the responses for reasons why elementary school students hate mathematics and are hard are because teachers demand 'thinking', 'because they repeat simple calculations', 'children hate complicated things', 'bother', 'Because mathematics itself is difficult', 'the level of curriculum and textbooks is high', and 'the amount of time and activity is too much'. These problems are likely to be improved by the implementation of revised 2015 national curriculum that emphasize core competence and process-based evaluation including mathematical processes. Fourth, the most common reason for failing elementary school mathematics instruction was 'because the process was difficult' and 'because of the results-based evaluation'. In addition, 'Results-oriented evaluation,' 'iterative calculation,' 'infused education,' 'failure to consider the level difference,' 'lack of conceptual and principle-centered education' were mentioned as a failure factor. Most of these factors can be changed by improving and changing teachers' teaching practice. Fifth, the responses for what does a desirable mathematics instruction look like are 'classroom related to real life', 'easy and fun mathematics lessons', 'class emphasizing understanding of principle', etc. Therefore, it is necessary to deeply deal with the related contents in the training courses for the improvement of the teachers' teaching practice, and it is necessary to support not only the one-time training but also the continuous professional development of teachers.

The Effect of Basic Mathematical Ability Improvement Program on Scholastic Achievement and Scholastic Motivation - A Case Study on Engineering Freshmen in D University - (수학기초학력 향상프로그램이 학업성취도와 학습동기에 미치는 영향 - D대학교 공과대학 신입생을 중심으로 -)

  • Lee, Jung-Rye;Lee, Sung-Jin;Kwon, Hyuk-Hong;Lee, Gyeong-Hee
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.167-184
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    • 2011
  • In D university, 2010 year engineering freshmen were taken basic mathematical ability test and were given basic mathematical ability improvement program based on the test. In order to study the effect of this program for scholastic achievement, we analyse basic mathematical ability test score and college mathematics score among student groups. And to study the effect of this program for scholastic motivation, we survey the mathematical inclination, the recognition of mathematics, and classes of mathematics. As results, engineering freshmen in D university were poor at basic mathematical ability and basic mathematical ability improvement program effected scholastic achievement and motivation in mathematics, greatly. For the success of college mathematics in engineering college, this study suggests basic mathematical ability test and the survey for engineering freshmen's mathematical background. Finally, we suggest that college mathematics must be focused on the improvement of basic mathematical abilities.

A Study on the Improvement of Teaching Mathematics via the Use of the Mathematical History based on the Learning Stages (학습 단계별 수학사 활용 학습을 통한 수학 수업 개선)

  • Lee, Jeong-Jae;Yun, Sang-Hyun;Choo, Shin-Hae;Shim, Soo-Jeong
    • Education of Primary School Mathematics
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    • v.10 no.1 s.19
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    • pp.57-70
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    • 2007
  • This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

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Improvement of Elementary Instruction via a Teacher Community: Focused on the Implementation of Five Practices for Orchestrating Productive Mathematics Discussions (교사 공동체를 중심으로 한 초등 수학 수업 개선: 효과적인 수학적 논의를 위한 5가지 관행의 적용)

  • Pang, Jeongsuk;Kim, Juhyeon;Choi, Yewon;Kwak, Eunae;Kim, Jeongwon
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.433-457
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    • 2022
  • An effective teacher community helps the participating teachers improve their instructional quality. This study reports a teacher community consisting of 15 elementary school teachers and one teacher educator. This paper analyzed 15 mathematics lessons in which the teachers implemented the five practices for orchestrating productive mathematics discussions by Smith and Stein (2018) based on the grade-specific discussions as well as the whole community's discussions. The results of this study showed that the overall levels of each practice either increased gradually or maintained at the highest Level 4, as mathematics lessons had been implemented. Specifically, the following practices were quite successful: setting goals for a lesson, selecting an appropriate task, anticipating student responses, and selecting student solutions. However, both sequencing and connecting student solutions were implemented at various levels. Monitoring student work tended to remain at Level 2 which included incorrect implementation of the practice. This paper closes with implications related to the skillful implementation of the five practices through a teacher community.