• 제목/요약/키워드: the middle school mathematics

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Effects of Mathematical Instructions Based on Constructivism on Learners' Reasoning A bility (구성주의 수학 수업이 추론 능력에 미치는 영향 - 초등학교 3학년 나눗셈을 중심으로 -)

  • Cho, Soo-Yun;Kim, Jin-Ho
    • Education of Primary School Mathematics
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    • 제14권2호
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    • pp.165-185
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    • 2011
  • The purpose of this study is to confirm the effects of the learner-centered instruction based on constructivism on learners' reasoning ability and their achievements which is closely related to reflective abstracting ability. To do it, learner-centered instructions for division was implemented, recall test, generation test, content reasoning test I and II were carried out. The following conclusions were drawn from the data we got. Experimental group(EG) improved their reasoning ability, while comparison group(CG) did not. EG showed statistically significant difference in the achievements of the contents learned in comparing with CG, and the difference in the achievements of the contents unlearned in the treatment in comparing with CG was higher than the one. In addition, the comparisons of the subgroups(high, middle, and low) between EG and CG showed that the treatment had a positive influence on the achievement to all subgroups in EG. That is, the treatment was effective for unable learners. Finally, EG showed statistically significant difference in the sub-domain of simple calculation which might be considered as the benefits of the treatment of the CG as well as in the sub-domain of concept and principle.

The effects of math teachers' teaching ability and class activity types on learners' affective attitudes: A multilevel structural equation model (수학교사의 교수능력과 수업활동유형이 학습자의 정의적 태도에 미치는 영향: 다층구조방정식 모형을 적용하여)

  • Song, Hyo Seob;Jung, Hee Sun
    • The Mathematical Education
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    • 제62권2호
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    • pp.195-209
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    • 2023
  • This study examined the effect and structural relationship of math teachers' teaching ability and class activity types on learners' value perception, confidence, and interest of mathematics at the student level and teacher level. To this end, data from 2nd graders of korea middle school in TIMSS 2019 were applied to the multilevel structural equation model. As a result of the analysis, the teaching ability of math teachers had a positive effect on value perception, confidence, and interest of mathematics at the student level and teacher level. Also, math value perception and math confidence had a positive effect on math interest. and it was confirmed that the teaching ability of math teachers indirectly had a positive effect on math interest by mediating math value perception and math confidence. In addition, the math class activity of applying what was learned to problems had a positive effect on math value perception, but it had a negative effect on math interest. and the class activity of the same ability group had a positive effect on math confidence and math interest. This study presents meaningful implications for math classes in the school field through a multilevel analysis of the student level and the teacher level.

An analysis of factors which affect teachers' self-confidence in using technology for mathematics class (테크놀로지를 활용한 교사의 확신(self-confidence)에 영향을 미치는 요인 탐색)

  • Hong, Ye-Yoon;Im, Yeon-Wook
    • Journal of Digital Convergence
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    • 제10권11호
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    • pp.565-577
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    • 2012
  • Various factors affecting teachers' self-confidence exist in math class using technology such as graphic calculators. For example, internal factors such as teachers' attitude and external factors such as school administrators or colleague's support can be considered. Pedagogical Technology Knowledge(PTK) is the very important factor which determines teacher's self-confidence in educational technology, and the development of PTK is composed of teacher's perception on the technology and its application and instrumentation. This study investigated 19 pre-service and current middle and high school teachers in the respect of their change of self-confidence, attitude, expertise on pedagogical technology, and quality of math class. These are anlayzed with the concept of instrumentation and instrumentalization through various experiences like graphic calculator, GPS and AutoGraph. The result indicated that constraints or obstacles did not affect much if teachers' attitude and self-confidence were strong. Particularly teachers' firm will to learn about technology and their confidence on its value are the critical factors in using technology for mathematics class.

Teaching Strategy Development of Secondary School Chemistry Based on the Cognitive Levels of Students and the Cognitive Demands of Learning Contents (학습자의 인지수준과 학습내용의 인지요구도를 고려한 중등화학 학습전략 개발에 대한 연구)

  • Kang, Soon Hee;Park, Jong Yoon;Jeong, Jee Young
    • Journal of the Korean Chemical Society
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    • 제43권5호
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    • pp.578-588
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    • 1999
  • The purpose of this study is to develope the more effective chemistry teaching strategy through analyzing the demanded cognitive levels of contents in high school chemistry I textbooks and the cognitive levels of students who learn these textbooks. For this purpose, the levets of cognitive development stages of 821 second grade students of high schools in Seoul City were anaIyzed using the GALT short version test. The demanded cognitive levels of understanding the contents of chemistry I textbooks in high school were analyzed using the curriculum analysis taxonomy developed by CSMS (Concept in Secondaly Mathematics and Science) program of the Great Britain. The resuIts showed that the proportion of students in the concrete operational stage, the transition stage, and the formal operational stage was l0.7%, 43.0% and 46.3%, respectively. The demanded levels of textbook contents were mostly the early formal operational stages. The concepts demanded the level of the late formal operational stage were 'atomic and molecular weight', 'stoichiometry of chemical reaction', and 'periodic properties of elements'. The results will be helpful for teachers in knowing what concepts are difficult for students to understand and in planning strategies for teaching those concepts. To demonstrate the application of the results obtained in this study, an example of developing teaching strategy which includes the adjustment of cognitive level of contents was shown.

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A Study on Problem-Solving Ability and Classification of Mathematical Problems. (문제 해결력과 수학문제의 분류 관점에 관한 연구)

  • Kim Cheol Hwan;Park Bae Hun;Jung Chang Hyun
    • The Mathematical Education
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    • 제26권2호
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    • pp.9-13
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    • 1988
  • Mathematics education is generally to cultivate mathematical thought. Most meaningful thought is to solve a certain given situation, that is, a problem. The aim of mathematies education could be identified with the cultivation of mathematical problem-solving ability. To cultivate mathematical problem-solving ability, it is necessary to study the nature of mathematical ability and its aspects pertaining to problem-solving ability. The purpose of this study is to investigate the relation between problem-solving ability and classficational viewpoint of mathematical verbal problems, and bet ween the detailed abilities of problem-solving procedure and classificational viewpoint of mathematical verbal problems. With the intention of doing this work, two tests were given to the third-year students of middle school, one is problem-solving test and the other classificational viewpoint test. The results of these two tests are follow ing. 1. The detailed abilities of problem-solving procedure are correlated with each other: such as ability of understanding, execution and looking-back. 2. From the viewpoint of structure and context, students classified mathematical verbal problems. 3. The students who are proficient at problem-solving, understanding, execution, and looking-back have a tendency to classify mathematical verbal problems from a structural viewpoint, while the students who are not proficient at the above four abilities have a tendency to classify mathematical verbal problems from a contextual viewpoint. As the above results, following conclusions can be made. 1. The students have recognized at least two fundamental dimensions of structure and context when they classified mathematical verbal problems. 2. The abilities of understanding, execution, and looking- back effect problem-solving ability correlating with each other. 3. The instruction emphasizing the importance of the structure of mathematical problems could be one of the methods cultivating student's problem-solving ability.

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A Study on the Development of the Recommendation Tools through Performance Assessment for Mathematically Gifted Students (수학 영재 관찰.추천 도구의 개발과 모의 적용 사례 연구)

  • Sin, Bo-Mi
    • Journal of Gifted/Talented Education
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    • 제20권1호
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    • pp.31-59
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    • 2010
  • Previous studies reported that gifted students' capacity on mathematics had high correlations with results of the performance assessment. However, there have been few studies that develop recommending tools through the assessment that can be used to identify mathematically gifted students or analyse their applications. Then it is difficult to use them to identify mathematically gifted students practically. Therefore, this study developed the tasks and evaluation tables for the tools. And one of them was applied for four students in Grade 1 of a middle school to simulate the assessment and characteristics assessment teachers showed were analysed. As the results, the extensive and specific information on the giftedness of the students was obtained through using the tool. The gifted capacity grasped from the order, speed, and attitudes of problem-solving was identified as observing the process of solving the task.

Analysis of Elementary Textbooks and Guidebook for Teacher regarding the Classification of Angles and Triangles in the Constructivist Perspective (구성주의 관점에서 각과 삼각형의 분류에 관한 초등 교과서 및 교사용지도서 분석)

  • Roh, Eun Hwan;Kang, Jeong Gi
    • Communications of Mathematical Education
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    • 제29권3호
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    • pp.313-330
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    • 2015
  • The classification is an important activity that is directly related to concept formation. Thus it will need to be made meaningful learning to classification through learner-centered teaching. But we doubts weather teaching and learning to the classification are reflected in the constructivist philosophy of 'learner-centered' well or not. The purpose of this study was to analyze critically the content of elementary textbooks and guidebook for teachers relating to the classification of angles and triangles in terms of constructivism. As a result, there is a problem in the classification of angles that are not provided a reasonable chance to set criteria by agreement of the communities. There is a problem in the classification of triangles that has the characteristics of radical development in terms of diversity. In addition, response of students was predicted like anyone who already acquired knowledge. And it has the shortcomings that the opportunity to have a choice and a discussion to hierarchical and partition classification are not provided. The followings are proposed based on such features; faithful reflection of 'Learner-centered' principle, careful prediction of student response, teaching that focus on process than results.

Food and Meal Preference of Workers in the Chonnam Yeosu Industrial Area (전남 여수지역 산업체에 근무하는 근로자의 식품 및 음식의 기호도 조사)

  • Han, Hyun-Mi;Choi, Il-Su;Jung, Bok-Mi
    • Korean Journal of Community Nutrition
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    • 제14권4호
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    • pp.392-405
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    • 2009
  • This study was conducted to investigate food and meal preference of workers (435 male and 212 female) in the Chonnam Yeosu industrial area. The results of the survey were analyzed by principal components analysis. The results were obtained as follows: 19.3% of the subjects were twenties, 28.3% were thirties, 28.8% were forties and 23.7% were fifties. Females liked rice rolled in dried laver, rice cakes, janchi-noodle and breads, on the other hand males liked thick beef soup, loach soup, an eel stew and soju. The young liked instant noodles, fried chicken, sweet and sour pork, pork cutlet, pizza, hamburger, ham, sausage and fruit beverage, on the other hand the old liked a fish pot stew, loach soup, eel stew, fish boiled in soy with spices, panfried fish, sea slug, ascidian, bunder, green laver and boiled burdock-lotus root in soy. Females who are young liked hamburger and sweet and sour pork whereas males who are young liked instant noodles, pork cutlet, ham, sausage and fruit beverage. Aged females liked fish boiled in soy with spices, panfried fish, bunder, green laver, boiled burdock-lotus root in soy whereas aged males liked a fish pot stew, loach soup, eel stew, sea mussel and oysters. Boiled rice was located within the middle irrespective of age and sex, but noodles, wheat flour meal, fast foods and fruits were situated at the young female side. Aged males liked soup and pot stew. Young males liked meats and eggs whereas fish and shellfish and kimch were located at the aged people side. Aged females liked sea weeds and most people disliked vegetables but females liked some vegetables irrespective of age. Processed foods, salted foods, and alcohol were generally disliked foods by subjects but males liked those foods. Soybean curd was liked more males than females, and teas, except coffee, was liked by males. (Korean J Community Nutrition 14(4) : 392${\sim}$405, 2009)

Development of a Matrix-focused Instructional Materials for Personal Education for the Gifted Middle School Students of Computer Science (중등 정보과학 영재 사사지도 행렬중심 교수학습 자료 개발)

  • Lee, Hyung-Bong
    • Journal of the Korea Society of Computer and Information
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    • 제16권12호
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    • pp.139-155
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    • 2011
  • In recent years, parents of students and government have been taking a growing interest in education for the gifted students and there are many research reports about the gifted education. Most of the reports, however, focuses on the conceptional feature of the gifted education program such as organization, operation, management, evaluation, etc,. In other words, there are very few researches on instructional materials for gifted students even though the materials is a critical factor for successful education programs. So, this paper introduces a lecture notes used in a personal education for gifted students to contribute in developing education contents in computer science area. The instructional materials titled as "The Necessity and Application of Matrix in Computer Science" is based on linear equation to usher the students into creative problem recognition and groping for solutions. Also, the instructional materials is useful for students to understand the tight mathematics-computer science relationship and the basic concept of liner algebra.

A Review of the Role of Domain in Representational Activities for Forming the Concept of Linear Functions (일차함수의 개념형성을 위한 표상활동에서 정의역의 역할에 대한 고찰)

  • Kim, Jin-Hwan
    • Communications of Mathematical Education
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    • 제24권1호
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    • pp.49-65
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    • 2010
  • The purpose of this study is to encourage the role of domain to consider the teaching of the concept of functions in modeling real situations. To do this, it is analyzed that how to introduce the concept of functions and linear functions in textbooks treated in the 1st grade and the 2nd grade of middle school. This study also reviewed the role of domain in representational activities for modeling real situations using linear functions. In these reviews, it found that many textbooks do not consider the domain in the equations of functions and these graphs and several text books used linear functions for modeling real situations which are not represented by linear functions contextually. It is concluded that the domain of function is an important concept that will be considered any representational activities for functions.