• Title/Summary/Keyword: 수학학습요인

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Polya의 문제해결 전략을 이용한 효과적인 문장제 지도방안 -고등학교 중심-

  • Bang, Seung-Jin;Lee, Sang-Won
    • Communications of Mathematical Education
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    • v.8
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    • pp.209-229
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    • 1999
  • 보통 문장제(거리 ${\cdot}$ 속도 문제, 시계 문제, 농도 문제, 개수 세기, 측도 영역)는 초등학교부터 반복하면서 대학수학능력 시험에서는 외적 문제해결력을 측정하는 문장으로 나타난다. 문장제를 해결하는데는 사고가 여러 단계로 이루어져야 한다. 따라서 일반적으로 문장제는 난해하므로 조직적이고 전문적인 학습지도가 이루어져야 한다. 하지만 입시위주의 교육 등 여러 여건상 잘 이루어지지 않고 있는 것이 현실이다. 수학을 잘하는 학생이라도 문장제를 해결하지 못하는 경우가 많다. 본 연구에서는 문장제의 해결의 저해 요인을 완화시킬 수 있는 지도 방안으로서 Polya의 문제해결 전략을 이용하며, 실험반과 비교반의 학습 효과를 비교 분석하여 이를 통하여 효율적인 문장제 지도방안을 연구한다.

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Mathematics Academic Achievement Factors: a Case Study of the Second Grade Students at Middle Schools in Busan City and Kyungsangnam Do (수학과목 학업성취요인 - 부산.경남의 중학교 2학년을 대상으로 -)

  • Park, Dong-Joon;Baek, Kyung-Moon
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.523-543
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    • 2009
  • We conduct a survey to find out the academic achievement factors for 484 second grade students at two middle schools in Busan city and Kyungsangnam Do, respectively. The survey questionnaire includes home environment and background, students' personal character, relationships with friends, learning attitudes towards improving problem solving, variables related to teaching methods and teachers, the school's computer facilities, mobile class by students levels, private education current situations, etc. Private education current situations are presented according to regions. Based on survey data we perform factor analysis to find major factors affecting mathematics academic achievement. We analyze the characteristics of the major factors. We also propose basic data and implications to mathematics educators and mathematics teachers at middle schools for improving middle school mathematics education quality.

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The Effects of the FOCUS Problem Solving Steps on Mathematical Problem Solving Ability and Mathematical Attitudes (FOCUS 문제해결과정이 수학 문제해결력 및 수학적 태도에 미치는 영향)

  • Lee, Yeon Joo;Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.21 no.1
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    • pp.243-262
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    • 2017
  • This study has its purpose on improving mathematic education by analyzing the effects of the teaching and learning process which adopted 'FOCUS Problem Solving Steps' on student's mathematical problem solving ability and their mathematical attitude. The result is as follows. First, activities through FOCUS Problem Solving Steps showed positive effect on students' problem solving ability. Second, among mathematical attitudes, mathematical curiosity, reflection and value are proved to have statistically meaningful effect and from the result that analyzed changes of subject students, we could suppose that all 6 elements of mathematical attitude had positive effect. Third, by solving questions through FOCUS steps, students felt satisfaction when they success by themselves. If projects which adopted FOCUS Problem Solving Steps take effect continuously by happiness from the process of reviewing and reflecting their own fallacy and solving that, we might expect meaningful effect on students' problem solving ability. Through this study, FOCUS Problem Solving Steps had positive effect not only on students' mathematical problem solving ability but also on formation of mathematical attitude. As a result, it implies that FOCUS Problem Solving Steps need to be applied to other grades and fields and then studied more.

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The Current Situations of Enhancing Affective Characteristics focused on the case of secondary school in Korea (수학 교과에서의 학생의 정의적 특성 요인의 성취 실태 -국내 중등 수업 사례를 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.28 no.2
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    • pp.235-253
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    • 2014
  • This study aims to develop strategies for improving the affective characteristics of Korean students based on results from international achievement tests. In pursuing the goal, different research methods are employed including a) analysis of the theories and literature regarding the affective domains included in PISA and TIMSS studies; b) analysis of the current situation and needs of Korean students with respect to the affective factors based on PISA and TIMSS results; c) case studies of best practices in relation to students' affective domains in Korea and abroad; and d) development of strategies for improving and supporting Korean students' affective characteristics. Especially, this paper deals with the analysis of the results from in-depth interviews and class observations, so as to identify the current situation and best practice cases of students' affective characteristics education in Korea. The results are classified into a) curriculum, which is in turn divided into national curriculum and reconstruction of curriculum school and classroom; and b) teaching, learning and evaluation, which is in turn divided into learner characteristics, motivation, teaching strategies, class grouping, activities and interaction, question and feedback, evaluation methods, and evaluation tools. Support plans in terms of school and social environments are also suggested based on the results.

An Effects of Smart Learning Math Class on Academic Achievement, Mathematical Interest, and Attitude (스마트러닝 수학 수업이 학업성취도, 수학적 흥미, 태도에 미치는 영향)

  • Kim, Sungtae;Kang, Hyunmin;Park, YounJung
    • The Journal of the Convergence on Culture Technology
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    • v.7 no.2
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    • pp.217-226
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    • 2021
  • Since Covid-19, many educational institutions no longer view online learning as an additional material, but use it as their main learning tool. In this study, we tried to summarize the definition of smart learning and examined how smart learning math classes affect academic achievement, mathematical interest, and attitudes. We manipulate groups that conducted smart learning and groups that conducted face-to-face learning, and compare academic performance, mathematical interest, and attitudes after six weeks of learning. As a result, we found that the smart learning group had a large values in all three factors compared to the face-to-face learning group. We also found moderating effect. Students with lower grades largely improved their academic achievement scores as the difference in attitude changes through smart learning compared to those with higher grades.

Exploring Changes in Multi-ethnic Students' Mathematics Achievement Motivation : A Longitudinal Study using Expectancy-Value Theory (다문화가정 학생의 수학학업성취 동기 변화 연구: 기대가치 이론에 따른 종단연구)

  • Cho, Eunhye;Hwang, Sunghwan
    • The Mathematical Education
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    • v.58 no.1
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    • pp.101-120
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    • 2019
  • The goal of this study was to apply an expectancy-value model(Wigfield & Eccles, 2000) to explain changes in six multi-ethnic students' achievement motivation in mathematics during sixth (2012) to eighth (2014) grades. In order to achieve this goal, we used narrative research methods. Although individual students' achievement motivation and mathematics related life experiences differed, there are some common factors influencing their motivation development, especially (a) roles played by parents and teachers; (b) assessment of peers' competencies; (c) past learning experiences related to mathematics curriculum; (d) perception of the relationship between mathematics competency and other subjects; (e) home backgrounds; and (f) perceived task values. In this study, we achieved some insight into why some multi-ethnic students are willing to study hard to get good scores while others are uninterested in mathematics, and why some multi-ethnic students are likely to pursue new mathematical tasks and persist despite challenges, while others easily give up studying mathematics in the face of adversity. We argue that in order to increase and sustain multi-ethnic students' achievement motivation, educators and parents should recognize that motivation is contextually formulated in the intersection of current people, time, and space, not a personal entity formed in an individual's mind. The findings of this study shed light on the development of achievement motivation and can inform efforts to develop multi-ethnic students' positive motivation, which might influence their mathematics achievement and success in school.

A study on relation between student factors and achievements in computing education for computer science non-majors (컴퓨터 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취 관련 연구)

  • Kim, Minja;Kim, Hyeoncheol
    • Proceedings of The KACE
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    • 2017.08a
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    • pp.235-239
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    • 2017
  • 학습자는 교육의 3요소인 교육자, 학습자, 교육내용의 하나로 학습자 특성과 이가 학업성취에 미치는 영향을 이해하는 것이 중요하다. 컴퓨터 비전공자를 대상으로 하는 컴퓨팅 교육이 점점 활발해지고 있다. 비전공자 컴퓨팅 교육이라는 맥락에서 학습자 특성과 학업성취의 관계를 이해할 필요가 있다. 본 연구는 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취의 관계를 실증적으로 이해하기 위해 실행되었다. 학습자 특성을 이전경험/사전지식, 인지적 요인, 심리적 요인의 3가지로 분류하였고, 연구대상을 3그룹으로 설정, 다양한 하위 요소 데이터를 수집하였다. 그 결과, 대상 1의 경우 학습스타일(순차적: 부적상관, 통합적: 정적상관), 대상 2는 자기 효능감(사후), 대상 3은 수학 사전지식, 컴퓨팅과 전공의 연계성 인식, 정보적 사고에 대한 인식이 학업성취와 유의미한 상관관계가 있었다. 하지만 상관성이 모두 0.5이하로 크지 않고, 자기 효능감과 전공 연계성 인식의 경우 대상에 따라 결과가 상이하였다. 향후 연구에서 다루지 않은 변수에 대한 연구와 상관관계가 밝혀진 변수만을 대상으로 인과성을 확인하는 연구가 필요하다. 또한 현상학적 관점으로 학습자 특성을 고찰할 필요가 있다.

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Development of an Instrument Measuring Elementary Pre-service Teachers' Beliefs on Teaching and Learning Mathematics (초등 예비교사의 수학 교수·학습에 대한 신념 측정을 위한 도구 개발)

  • Hwang, Jihyun;Kim, Jinho;Kwon, Na Young
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.43-55
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    • 2022
  • It is critical to examine changes in teachers' beliefs on how to teach and learn mathematics through teacher education programs. This study aims to develop an instrument measuring elementary pre-service teachers' beliefs on student- and teacher-centered instruction. After developing questionnaires with mathematics education experts, the structural validity of the instrument was evaluated by collecting and analyzing data from 166 pre-service teachers. Parallel analysis and exploratory factor analysis were applied sequentially to collect validity and reliability evidence. The results showed that this instrument can be used to examine changes in pre-service teachers' two different types of belief: student- and teacher-centered instruction. We also suggested how to interpret scores appropriately.

Experimental Analysis of Korean and CPMP Textbooks: A Comparative Study (한국과 미국의 교과서 체제 비교분석)

  • Shin, Hyun-Sung;Han, Hye-Sook
    • Journal of the Korean School Mathematics Society
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    • v.12 no.2
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    • pp.309-325
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    • 2009
  • The purpose of the study was to investigate the differences between Korean mathematics textbooks and CPMP textbooks in the view of conceptual network, structure of mathematical contents, instructional design, and teaching and learning environment to explore the implications for mathematics education in Korea. According to the results, Korean textbooks emphasized the mathematical structures and conceptual network, on the other hand, CPMP textbooks focused on making connections between mathematical concepts and corresponding real life situations as well as mathematical structures. And generalizing mathematical concepts at the symbolic level was very important objective in Korean textbooks, but in the CPMP textbooks, investigating mathematical ideas and solving problems in diverse contexts including real- life situations were considered very important. Teachers using Korean textbooks preferred an explanatory teaching method with the use of concrete manipulatives and student worksheet, however, teachers using CPMP textbooks emphasized collaborative group activities to communicate mathematical ideas and encouraged students to use graphing calculators when they explore mathematical concepts and solve problems.

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Factor Analysis and Measurement Invariance Test of Mathematical Affectiveness in High Mathematical Achievement Countries (수학 학업성취도가 높은 국가의 수학-정의적 영역 요인 분석 및 측정 동일성 검증)

  • Lee, Chong-He;Kim, Ki-Yoen;Kim, Soo-Jin
    • School Mathematics
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    • v.13 no.2
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    • pp.307-321
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    • 2011
  • Recognizing the importance of affective factors in mathematical learning and achievement, international comparative assessment as PISA and TIMSS survey affective achievement as well as scholastic achievement. On the affective survey those items of PISA are categorized by 5 factors ; interest of mathematics, instrumental motivation, Mathematics self-efficacy, mathematics anxiety, mathematics self-concept) and those of TIMSS are categorized by 3 factors; Positive affect toward mathematics (PATM), Students' Self-Confidence in Learning Mathematics(SCM), and Students' Valuing Mathematics(SVM). In this study we carried out Exploratory Factor Analysis, Confirmatory Factor Analysis and Measurement Equivalence/Invariance to find whether the constructs are well defined and divided. As a result of our analysis, some factors were overlapped in PISA whereas the items of TIMSS were categorized as intended in TIMSS study. Based on these results, it is confirmed that the questionnaire items need to be developed to understand our students affective characteristics. Also, how questionnaire of large-scaled international assessment can give implication to the development of the questionnaire of Korean specific.

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