• Title/Summary/Keyword: mathematics-learning achievement

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A case study on the mathematical problem solving performance of simultaneous equations for the students from a remedial course (특별보충과정 학생들의 문제해결수행에 대한 사례연구)

  • Ko, Sang-Sook;Lee, Sang-Hui
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.105-120
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    • 2006
  • The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

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The Effects of Tasks Setting for Mathematical Modelling in the Complex Real Situation (실세계 상황에서 수학적 모델링 과제설정 효과)

  • Shin, Hyun-Sung;Lee, Myeong-Hwa
    • Journal of the Korean School Mathematics Society
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    • v.14 no.4
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    • pp.423-442
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    • 2011
  • The purpose of this study was to examine the effects of tasks setting for mathematical modelling in the complex real situations. The tasks setting(MMa, MeA) in mathematical modelling was so important that we can't ignore its effects to develop meaning and integrate mathematical ideas. The experimental setting were two groups ($N_1=103$, $N_2=103$) at public high school and non-experimental setting was one group($N_3=103$). In mathematical achievement, we found meaningful improvement for MeA group on modelling tasks, but no meaningful effect on information processing tasks. The statistical method used was ACONOVA analysis. Beside their achievement, we were much concerned about their modelling approach that TSG21 had suggested in Category "Educational & cognitive Midelling". Subjects who involved in experimental works showed very interesting approach as Exploration, analysis in some situation ${\Rightarrow}$ Math. questions ${\Rightarrow}$ Setting models ${\Rightarrow}$ Problem solution ${\Rightarrow}$ Extension, generalization, but MeA group spent a lot of time on step: Exploration, analysis and MMa group on step, Setting models. Both groups integrated actively many heuristics that schoenfeld defined. Specially, Drawing and Modified Simple Strategy were the most powerful on approach step 1,2,3. It was very encouraging that those experimental setting was improved positively more than the non-experimental setting on mathematical belief and interest. In our school system, teaching math. modelling could be a answer about what kind of educational action or environment we should provide for them. That is, mathematical learning.

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Analysis of Teaching and Learning Results in Mathematics using Reconstructed Textbook -Focusing on Vocational High School- (재구성 교재를 활용한 수학과 교수·학습 결과 분석 -특성화 고등학교를 중심으로-)

  • So, Jae Hong;Jeon, Young Ju
    • The Journal of the Korea Contents Association
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    • v.16 no.4
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    • pp.179-194
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    • 2016
  • The purpose of this study is to find out how the reconstructed textbook for vocational high school students influences on students' scholastic achievement and affective domain when it is used in the class of vocational high school. To tackle the study problems, the researcher chose two classes of the first grade in G commercial high school and gave lessons to each of the two classes; one class, as an experimental group, was taught with the reconstructed textbook and the other, as a comparative group, was taught with the original textbook. The following results are derived from the study. First, it turned out in the post academic achievement test result, there is no significant difference between the experimental group and the comparison group, by significant level; .05. However, the prior academic achievement test result shows that the average of the comparison group is 0.44 points higher than the average of the experimental group, while the post test result shows that the average of the experimental group is 1.96 points higher than the average of the comparison group. Second, it turned out by the post affective domain test result, there is no significant difference between the experimental group and the comparison group, by significant level; .05, and any significant difference did not occur in all five areas. However, the whole point of the affective domain and the points of each area of experimental group are higher than those of the comparison group, and the degree of improvement in experimental group is also greater than that of the comparison group. In conclusion, the effectiveness of utilizing a reconstructed textbook in vocational high school math class can be expected in the long term.

Exploration of Features of Korean Eighth Grade Students' Attitudes Toward Science (우리나라 중학교 2학년 학생들의 과학에 대한 정의적 태도 특성 탐색)

  • Kwak, Youngsun
    • Journal of The Korean Association For Science Education
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    • v.37 no.1
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    • pp.135-142
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    • 2017
  • The Trends in International Mathematics and Science Study (TIMSS) announced the TIMSS 2015 results at the end of 2016. In this research, we analyzed the relationship between Korean eighth grade students' attitude toward science and science achievement, trends in students' attitude toward science based on common items used in three to four cycles of TIMSS, and trends across grades in students' attitude toward science. According to the results, Korean eighth grade students showed the lowest level of confidence with science, interest in learning science, and valuing science among the 15 top performing countries as well as all the participant countries. In addition, according to the analysis result of common items, Korean students' confidence with science and interest in learning science have decreased, whereas students' valuing science with instrumental values has increased between TIMSS 2011 and TIMSS 2015. According to trends across grades, the cohort of students, assessed at the fourth grade in TIMSS 2011 and moved to the eighth grade four years later in 2015, decreased in their confidence with science and interest in learning science. Discussed in the conclusion are further studies and ways to improve science teaching and learning to improve students' attitude toward science.

Development and Effectiveness of STEAM Outreach Program based on Mathematics (수학을 기반으로 하는 STEAM 아웃리치 프로그램 개발과 효과성)

  • Hwang, Sunwook;Kim, Namjun;Son, Jeongsuk;Song, Wonhee;Lee, Kapjung;Choi, Seongja;Lew, Kyounghoon
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.389-407
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    • 2017
  • Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

Development of Convergence Education Program for Elementary School Gifted Education Based on Mathematics and Science (초등학교 영재교육을 위한 수학·과학 중심의 융합교육 프로그램 개발)

  • Ryu, Sung-Rim;Lee, Jong-Hak;Yoon, Ma-Byong;Kim, Hak-Sung
    • Journal of the Korea Convergence Society
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    • v.9 no.10
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    • pp.217-228
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    • 2018
  • The purpose of this study is to develop STEAM program for gifted education by combining educational contents of humanities, arts, engineering, technology, and design into various subjects, focusing on mathematics-science curriculum of elementary school. The achievement standards and curriculum contents of elementary mathematics-science curriculum were analyzed while considering 2015 revised national curriculum. And then, a 16 class-hour convergence education program consisting of 3-hour block time was developed by applying the STEAM model with 4 steps. The validity of the program developed through this process was verified, and four educational experts evaluate whether the program can be applied to the elementary school. Based on the evaluation results, the convergence education program was finalized. As a result of implementing the gifted education program for mathematics-science, students achieved the objectives and values of convergence education such as creative design, self-directed participation, cooperative learning, and interest in class activities (game, making). If this convergence education program is applied to regular class, creative experiential class, or class for gifted children, students can promote their scientific creativity, artistic sensitivity, design sence, and so on.

An analysis of student engagement strategy and questioning strategy in a peer mentoring teaching method (동료 멘토링 교수법에서 교사의 수업 참여전략과 발문전략 분석)

  • Choi, Sang-Ho;Ha, Jeong-Mi;Kim, Dong-Joong
    • Journal of the Korean School Mathematics Society
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    • v.19 no.2
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    • pp.153-176
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    • 2016
  • The purpose of this study is to suggest ways to promote student engagement by analyzing how a teacher's student engagement strategies and questioning strategies affect class participation and problem solving in a peer mentoring teaching method. As for the purpose, after recording 7th grader's classroom using a peer mentoring and transcribing classroom discourse, we analyzed student engagement strategies for class participation and questioning strategies for helping mathematical concepts and problem solving, and compared mathematics achievements in mid-term and final exams. As results, in learning environments based on comfortable atmosphere, diverse student engagement strategies and appropriate questioning strategies with effectiveness of peer mentoring encouraged students to participate in class by motivating them, helped them to develop mathematical concepts and deepen understanding of problem solving through effective social interactions, and improved student achievement in mathematics. The results can practically help to develop class design considering both student engagement strategy and questioning strategy by specifically presenting a teaching method for promoting student engagement and teacher's contributions to it.

An analysis of students' engagement in elementary mathematics lessons using open-ended tasks (개방형 과제를 활용하는 초등 수학 수업에서 학생의 참여 분석)

  • Nam, Inhye;Shin, Bomi
    • The Mathematical Education
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    • v.62 no.1
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    • pp.57-78
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    • 2023
  • Students' engagement in lessons not only determines the direction and result of the lessons, but also affects academic achievement and continuity of follow-up learning. In order to provide implications related to teaching strategies for encouraging students' engagement in elementary mathematics lessons, this study implemented lessons for middle-low achieving fifth graders using open-ended tasks and analyzed characteristics of students' engagement in the light of the framework descripors developed based on previous research. As a result of the analysis, the students showed behavioral engagement in voluntarily answering teacher's questions or enduring difficulties and performing tasks until the end, emotional engagement in actively expressing their pleasure by clapping, standing up and the feelings with regard to the topics of lessons and the tasks, cognitive engagement in using real-life examples or their prior knowledge to solve the tasks, and social engagement in helping friends, telling their ideas to others and asking for friends' opinions to create collaborative ideas. This result suggested that lessons using open-ended tasks could encourage elementary students' engagement. In addition, this research presented the potential significance of teacher's support and positive feedback to students' responses, teaching methods of group activities and discussions, strategies of presenting tasks such as the board game while implementing the lessons using open-ended tasks.

A Study on the Development of Feedback-Based Instructional Materials for Process-Focused Assessment Classes in High School Mathematics Classes (고등학교 수학 수업에서 과정 중심 평가 수업을 위한 피드백 중심 수업 자료 개발에 관한 연구)

  • Lee, Dong Gun;Han, Chang Hun
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.107-138
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    • 2022
  • This study is a study that developed class materials that can apply Process-Focused Assessment to classes by paying attention to feedback using teacher learning community programs centered on teachers belonging to the same school in the field. In particular, this study was conducted with the aim of developing class materials applicable to actual classes. At this time, We thought about how to provide appropriate feedback when applying course-based evaluation in school field classes. It was conducted according to the procedure of data development research by Lee & Ahn(2021). As for the procedure of data development itself, an evaluation plan was established by establishing a strategy to reconstruct achievement standards and confirm understanding based on curriculum analysis. Next, an evaluation task, a scoring standard table, and a preliminary feedback preparation table were developed. In addition, based on these development materials, a learning guidance plan that can predict scenes when applying actual classes was developed as a result. This study has value as a practical study that can contribute to providing a link between theory and field schools. It is also meaningful in that it considered how the teacher would grasp when to provide feedback in performing rocess-Focused Assessment. Likewise, in providing feedback by teachers, it is meaningful in that it reflects in the data development how to prepare in advance and take classes according to the characteristics of the subject. Finally, it seems that the possibility of field application can be improved in that the results of the 4th class developed in this study are presented in a form applicable to the class directly in the field.

Development and Application of High School Students' Physics Self-Efficacy (물리 자기효능감 측정 도구의 개발 및 적용: 자연계열 고등학생을 대상으로)

  • Mun, Kongju;Mun, Jiyeong;Shin, Seunghee;Kim, Sung-Won
    • Journal of The Korean Association For Science Education
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    • v.34 no.7
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    • pp.693-701
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    • 2014
  • Based on social cognitive theory, self-efficacy in the context of learning has been steadily emphasized as an indicator of students' motivation and performance. The premise for developing such an instrument was that a specific measure of Physics self-efficacy was deemed to be an important predictor of the change processes necessary to improve students' physics understanding. In this study we described the process of developing and validating an instrument to measure students' beliefs in their abilities to perform essential tasks in physics and then investigated high school students' self-efficacy about physics learning and performance. Validity and reliability of PSEI were tested using various statistical techniques including the Cronbach alpha coefficient, exploratory factor analysis. The result of factor analysis supported the contention that the Physics Self-Efficacy Inventory (PSEI) was a multidimensional construct consisting of at least four dimensions: understanding and application of Physics concepts, achievement motivation, confidence for physics laboratory, confidence for Mathematics. The result showed that Kroean high schools students have low Physics self-efficacy for the all four dimensions. Therefore, researchers should focus on development of students' Physics self-efficacy. In addition, the instrument may lead to further understanding of student behavior, which in turn can facilitate the development of strategies that may increase students' aspiration to understand and study Physics. More specifically, by using the PSEI as a pre- and post-test indicator, instructors can gain insight into whether students' confidence levels increase as they engage in learning Physics, and, in addition, what type of teaching strategies are most effective in building deeper understanding of Physics concepts.where they freely exchanged opinions and feedback for constructing better collective ideas.