• Title/Summary/Keyword: Mathematics teaching evaluation

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Difference of the scores of multiple-choice and descriptive problem and students' perceptions of the difference - Focused on high school geometry course - (선다형 문제와 서술형 문제의 점수 차이와 이에 대한 학생들의 인식 -고등학교 기하 교과를 중심으로-)

  • Hwang, Jae-woo;Boo, Deok Hoon
    • The Mathematical Education
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    • v.57 no.3
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    • pp.197-213
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    • 2018
  • Descriptive problems can be used to grow student's ability of thinking logically and creatively, because it shows if the students had a reasonable way of thinking. Rate of descriptive problems is increasing in middle and high school exams. However, students in middle and high schools are generally used to answering multiple-choice or short-answer questions rather than describing the solving process. The purpose of this paper is to gain a theoretic ground to increase the rate of descriptive problems. In this study, students were to solve some multiple-choice problems, and after a few weeks, to solve the problems of same contents in the form of descriptive problems which requires the students to write the solving process. The difference of the scores were measured for each problems to each students, and students were asked what they think the reason for rise or fall of the score is. The result is as follows: First, average scores of 7 of 8 problems used in this study had fallen when it was in descriptive form, and for 5 of them in the rate of 11.2%~16.8%. Second, the main reason of falling is that the students have actual troubles of describing the solving process. Third, in the case of rising, the main reason was that partial scores were given in the descriptive problems. Last, there seems a possibility gender difference in the reason of falling. From these results, followings are suggested to advance the learning, teaching and evaluation in mathematics education: First, it has to be emphasized enough to describe the solving process when solving a problem. Second, increasing the rate of descriptive problems can be supported as a way to advance the evaluation. Third, descriptive problems have to be easier to solve than multiple-choice ones and it is convenient for the students to describe the solving process. Last, multiple-choice problems have to be carefully reviewed that the possibility of students' choosing incorrect answer with a small mistake is minimal.

Analysis on the achievement characteristics of the students of multicultural and North Korean migrant families by school classes in 2011 National Assessment Educational Achievement (2011년 수학과 국가수준 학업성취도 평가에서 나타난 다문화.탈북 가정 학생의 학교급별 성취 특성 분석)

  • Jo, Yun Dong;Kang, Eun Joo;Ko, Ho Kyoung
    • School Mathematics
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    • v.15 no.1
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    • pp.179-199
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    • 2013
  • In this study we grasp what contents in the mathematics curriculum the students of multicultural and North Korean migrant families are vulnerable to and we would like to provide the bases to devise the appropriate teaching and learning methods for them. In order to this work we used the results of 2011 National Assessment Educational Achievement. We categorized students from multicultural and North Korean migrant families into children from international marriage family (born in country or immigrated), foreign family, and North Korean migrant family and compared each category with the whole students. First, for each school class we analyzed characteristics of academic achievement by ratio of achievement level, means of calibrated score, and percentages of correct answers in NAEA, mean percentages of correct answers by content domains, and percentages of correct answers by items. In addition to these we analysed items qualitatively and investigated study conditions in which the students of multicultural and North Korean migrant families have difficult times. In every subgroup the more ratio of advanced level decreases and ratio of below basic level increases the more school classes go up. Also these phenomena appear differently by each group and by content domain. For this reason by group, the supporting on learning will be needed.

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The Development of Lesson Reflection through the Lesson Reflection Sharing Case in the Secondary School Mathematics Class (중등 수학 수업에서의 나눔 사례를 통한 수업 성찰문 개발 연구)

  • Hwang, Hye Jeang;Moon, Du Yeol
    • Journal of the Korean School Mathematics Society
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    • v.24 no.4
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    • pp.369-390
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    • 2021
  • It would be reasonable as a teacher to make efforts not only to reflect on the class on their own but also to improve the teacher' teaching e pertise by reflecting on the class with fellow teachers through lesson reflection sharing. This paper attempted to develop a lesson reflective framework that can provide standards and focus for lesson reflection and lesson sharing. First, based on the class evaluation criteria of previous studies, class reflection elements and a draft of lesson reflection were prepared. In a class conducted on 27 third graders at C High School where the co-researcher worked as a teacher, four peer teachers at the same high school were required to write personal opinions on the class based on the draft of lesson reflection. Based on this, lesson sharing was conducted, and modifications of the lesson reflection framework were developed by analyzing the case of class sharing. The implications of this paper indicate the need to clarify the perspective of viewing the lesson by sharing the intention of each question in advance. In addition to writing lesson reflections, it is necessary to share classes simultaneously.

Value in math learning according to socio-cultural background and meta-affect of secondary school students (중등학생들의 사회문화적 배경과 메타정의에 따른 수학 학습에서의 가치 인식)

  • Kim, Sun Hee
    • The Mathematical Education
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    • v.62 no.3
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    • pp.327-340
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    • 2023
  • The value that students consider important in math learning may vary depending on the student's socio-cultural background and personal experience. Although socio-cultural backgrounds are very diverse, I considered overseas vs domestic Koreans, and secondary school levels as variables in terms of students' educational experiences. Overseas students had a lower perception of the value in mathematics than domestic students, especially about understanding mathematics knowledge and the value of the latest teaching and learning methods. Middle school students perceived the value of mathematics as an activity higher than that of high school students, and high school students perceived student agency as a higher value than middle school students. In addition, I considered meta-affect as one of the individual students' experiences, finally meta-affect was a variable that could explain value perception in math learning, and in particular, affective awareness of achievement, affective evaluation of value, and affective using were significant. From the results, I suggested that research on ways to improve the value and the meta-affect in math learning, test to measure the value of students in math learning, the expansion of research subjects to investigate the value in math learning, and a teacher who teaches overseas Koreans are needed.

A Study on the Relative Weights of the Components of Core Competence Based Learning Outcomes in STEAM (Science, Technology, Engineering Art, Mathematics) (융합인재교육에서 핵심역량 기반 학습성과 구성요소의 상대적 가중치 연구)

  • Park, Ki-Moon
    • 대한공업교육학회지
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    • v.40 no.2
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    • pp.239-258
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    • 2015
  • The purpose of this study is to provide basic data that can be used in a reasonable assessment of the learning outcomes of STEAM. It presented a learning outcome evaluation method, relative weights of key competencies standard that a learner should cultivate. For this study, a pairwise comparison questionnaire about the key competencies was conducted on the STEAM professionals, and AHP was applied to analyze the priority of main factors of key competencies. The results of this study are as follows. First, the importance of capabilities of convergence accomplishment and capabilities of convergent cognition, in the first layer of key competencies, were 39.4% and 36.8%, respectively. In the education evaluation of the STEAM, capabilities of convergence accomplishment and capabilities of convergent cognition showed similar level of importance, and were considered more important factor than capabilities of convergence attitude (23.8%). Second, the relative importance of capabilities of problem solving (20.0%) was highest in the second layer of key competencies, and followed by capabilities of creative thinking (18.3%), responsibility (15.3%), and understanding convergence knowledge (11.0%). Third, it will be a foundation of a competency evaluation, which reasonably evaluates, based on the relative weights, whether to accomplish educational objectives of the STEAM program In addition, this results is expected to become a guide to develop an education program that can improve the teaching and learning process and raise the learning outcome, as well as an education evaluation of the STEAM.

Error Analysis of 6th Grade Elementary Students in Problem Solving in the Measurement Domain (측정 영역의 문제해결 과정에서 나타나는 초등학교 6학년 학생의 오류 분석)

  • Kim, Seong-Kyeong
    • Journal of Science Education
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    • v.41 no.3
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    • pp.480-498
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    • 2017
  • This study analyzed the errors of 6th graders of elementary school in problem solving process of the measurement domain. By analyzing the errors that students make in solving difficult problems, this study tried to draw implications for teaching and learning that can help students reach their achievement standards. First, though the students were given enough time to deal with problems, the fact that about 30~60% of students, based upon the problems given, can't solve them show that they are struggling with a part of measurement domain. Second, it was confirmed that students' understanding of the unit of measurement, such as relationship between units, was low. Third, the students have a low understanding in terms of the fact that once the base is set in a triangle then the height can be set accordingly and from which multiple expressions, in obtaining the area of the triangle, can be driven.

The cognitive load of middle school students according to problem types in collaborative learning for solving the function problems (함수 영역 문제해결 협력학습 과정에서 문제 유형에 따른 중학생의 인지부하 분석)

  • Kim, Seong-Kyeong;Kim, Ji Youn;Lee, Sun Ji;Lee, Bongju
    • The Mathematical Education
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    • v.57 no.2
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    • pp.137-155
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    • 2018
  • From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

An International Comparative Study of Upper Secondary Home Economics Education -Curriculum Analaysis Approach- (고등학교 가정과 교육의 국제비교연구 -교육과정을 중심으로-)

  • 윤인경
    • Journal of Korean Home Economics Education Association
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    • v.1 no.1
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    • pp.33-42
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    • 1989
  • By the comparative analysis of high school Home Economics curricula in the U.S., Japan and Taiwan, this study first attempts to understand the current Home Economics education and to access its treads for each country. Based on the findings of the analysis, the study also seeks to get the major implications of the analysis for the betterment of the Korea Home Economics Education. The main sources of information and data analyzed here are: 1) curricula for both Oklahoma and Ohio state as representatives of the U.S.; 2) Home Economics Teaching Guidelines in Japan; and 3) Home Economics curriculum in Taiwan. Content Analysis technique is applied in this study. The major elements of contents include:1) structure of the curriculum; 2) subject name; 3) unit (time) allotment; 4) goals; 5) subject areas and content composition; and 6) other related characteristics for the implementation of the curriculum. Summarized results of the study outline as follows: 1) Home Economics is offered as independently required subject with equal status to Mathematics, Science, and Social Studies subject in all three countries; 2) Sex discrimination is prohibited both in the U.S. and Taiwan, while in Japan sex equity is not secured for Home Economics educations; 3) Time allotment for Home Economics in Japan and Taiwan is similiar to that in Korea;4) Subject areas cover such fields as Foods and Nutrition, Clothing and Textiles, Home Management, and Human Development in all three countries, which is similiar to those of Korea. In addition, Consumer Education and Career Education are also covered in the U.S., whereas in Japan Child Care is offered; and 5) Curriculum can be utilized as instructional planning material due to the clear specification of instructional methods, materials, and evaluation methods on the curriculum, especially in the U.S. and Taiwan.

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Understanding Instructor's Challenges of Content Based Instruction : For Pre-service Teachers in Early Childhood Education (내용기반 교수법을 근거로 예비 유아교사 교육을 실시한 교수자의 어려움)

  • Ahn, Hyo-Jin;Kim, Eunhyun
    • Korean Journal of Childcare and Education
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    • v.9 no.5
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    • pp.181-200
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    • 2013
  • This study aimed at exploring how an instructor constructs meanings through content-based instruction (CBI) offered to pre-service teachers majoring in early childhood education. The course, early childhood mathematics education, was conducted during the spring semester in 2011. This study adopted a narrative inquiry, and data were collected through observations, interviews, and work samples. This study found that during the whole process from the preparation phase to the end-of-program evaluation, the instructor captured diverse challenging moments. During the preparation phase, she needed to have careful orchestration in designing lessons in order to overcome her feeling of pressure as a non-native speaker of English and design the integration of contents and English language learning to be truly powerful. In the phase of implementation, the lack of student motivation and building a good rapport between the instructor and the students were certainly challenges. The result of the student evaluations weakened her desire to implement CBI. The instructor incorporated diverse instructional strategies to overcome the obstacles. The instructor's experiences in this study will positively shape future educators' thinking and learning about meaningful and appropriate academic English instruction for content-area teaching of college students who were majoring in early childhood education.

Effects on the Application by Finding Errors in the Learning of Figure (도형 학습에서의 오류 찾기 활동의 적용 효과)

  • Lim, Ji-Hyun;Choi, Chang Woo
    • Education of Primary School Mathematics
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    • v.19 no.1
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    • pp.31-45
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    • 2016
  • In this study, the case of error became the object of learning, and the investigator applied these cases to an actual class and established three study problems in order to achieve the purpose of this study. The results of analysis of students' errors in figure based on before achievement test are shown as follows: First, the most errors occurred in the figure was the ones from deficient mastery of prerequisite concepts and definitions. Specially, the errors from deficient mastery of prerequisite concepts and definitions have the majority. it is very high ratio even if it considers an influence of an evaluation question item. so, I think it is necessary to teach concept related figure above all. Second, as the results of application 'finding errors' to a class, there is a meaningful difference in the mathematical achievement and reasoning ability within significance level 5%. This means 'finding errors' is one of the teaching method that it develops the mathematical achievement and reasoning ability.