• Title/Summary/Keyword: Mathematics of the middle school

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Differences among Sciences and Mathematics Gifted Students: Multiple Intelligence, Self-regulated Learning Ability, and Personal Traits (과학·수학 영재의 다중지능, 자기조절학습능력 및 개인성향의 차이)

  • Park, Mijin;Seo, Hae-Ae;Kim, Donghwa;Kim, Jina;Nam, Jeonghee;Lee, Sangwon;Kim, Sujin
    • Journal of Gifted/Talented Education
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    • v.23 no.5
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    • pp.697-713
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    • 2013
  • The research aimed to investigate characteristics of middle school students enrolled in a science gifted education center affiliated with university in terms of multiple intelligence, self-regulated learning and personality traits. The 89 subjects in the study responded to questionnaires of multiple intelligence, self-regulated learning ability and a personality trait in October, 2011. It was found that both science and math gifted students presented intrapersonal intelligence as strength and logical-mathematical intelligence as weakness. While physics and earth science gifted ones showed spatial intelligence as strength, chemistry and biology gifted ones did intrapersonal intelligence. For self-regulated learning ability, both science and mathematics gifted students tend to show higher levels than general students, in particular, cognitive and motivation strategies comparatively higher than meta-cognition and environment condition strategies. Characteristics of personal traits widely distributed across science and mathematics gifted students, showing that each gifted student presented distinct characteristics individually. Those gifted students showing certain intelligence such as spatial, intrapersonal, or natural intelligences as strength also showed different characteristics of self-regulated learning ability and personal traits among students showing same intelligence as strength. It was concluded that science and mathematics gifted students showed various characteristics of multiple intelligences, self-regulated learning ability, and personal traits across science and mathematics areas.

A Study on the Curriculum of University Calculus Reflecting the 2015 Revised Curriculum (2015 개정 교육과정을 반영한 대학 미적분학 교과에 대한 탐색)

  • Kim, Yun Ah;Kim, Kyung Mi
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.349-366
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    • 2017
  • The 2015 revised curriculum is an integrated curriculum that reflects national and societal needs to foster creative convergent talent in the school curriculum. Along with these changes, the Ministry of Education introduced a system to change the major from 2017 to the fourth year of university. Therefore, each university should prepare to reflect the curriculum and institutional change before welcoming students who have completed the 2015 revised curriculum. The university needs to study the countermeasures for implementing the 2015 revised curriculum and expanding the period of major change when preparing the curriculum and contents of the calculus courses that freshmen take. Handong University has been studying the operation methods of new students who want to decide their major at the first grade, such as operating calculus courses at various levels and allocating appropriate proportions of calculus for preliminary examinations. This case is similar to the basic purpose of the revised curriculum in 2015, so it can suggest implications for the operation of the university calculus class after the curriculum revision. In this paper, we have analyzed the results of the recent freshman mathematics test for the recent 5 years and the students' calculus grades and compared them with the contents of the calculus curriculum operated by Handong University and the 2015 revised higher mathematics curriculum. As a result, we proposed five classes of calculus suitable for college major and it was found that the calculus curriculum should include the missing quadratic method in the 2015 revised curriculum.

A Study on the Development of Teaching Materials about Utilizing Counterexmples Focusing on Proposition in High School (고등학교 명제 단원에서 반례 활용에 관한 교수·학습 자료 개발 연구)

  • Oh, Se Hyun;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.393-418
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    • 2016
  • Theory and fundamentals of mathematics consist mostly of proposition form. Activities by research of the proposition which leads to determine the true or false, justify the true propositions and refute with counterexample improve logical reasoning skills of students in emphases on mathematics education. Also, utilizing of counterexamples in school mathematics combines mathematical knowledge through the process of finding a counterexample, help the concept study and increase the critical thinking. These effects have been found through previous research. But many studies say that the learners have difficulty in generating counterexamples for false propositions and materials have not been developed a lot for the counterexample utilizing that can be applied in schools. So, this study analyzed the current textbook and examined the use of counterexamples and developed educational materials for counterexamples that can be applied at schools. That materials consisted of making true & false propositions and students was divided into three groups of academic achievement level. And then this study looked at the change of the students' thinking after counterexample classes. As a study result, in all three groups was showed a positive change in the cognitive domain and affective domain. Especially, in top-level group was mainly showed a positive change in the cognitive domain, in upper-middle group was mainly showed in the cognitive and the affective domain, in the sub-group was mainly found a positive change in the affective domain. Also in this study shows that the class that makes true or false propositions in education of utilizing counterexample, made students understand a given proposition, pay attention to easily overlooked condition, carefully observe symbol sign and change thinking of cognitive domain helping concept learning regardless of academic achievement levels of learners. Also, that class gave positive affect to affective domain that increase interest in the proposition and gain confidence about proposition.

Changes in Perceptions of Elementary School Preservice Teachers about Mathematical Modeling (수학적 모델링에 대한 초등학교 예비교사들의 인식변화)

  • Kim, YongSeok
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.101-123
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    • 2022
  • Recently, as the educational paradigm shifts from teacher-centered to learner-centered, the active construction of knowledge of learners is becoming more important. Accordingly, classes using mathematical modeling are receiving attention. However, existing research is focused on teachers or middle and high school students, so it is difficult to apply the contents and results of the research to preservice teachers. Therefore, in this study, the experience of mathematical modeling was examined for elementary school preservice teachers. And we looked at how positive experiences of mathematical modeling change their perceptions. As a result of the study, elementary school preservice teachers had very little experience in mathematical modeling during their school days. In addition, it was found that the perceptions changed more positively than when a theoretical class on mathematical modeling was conducted, rather than when the experience of mathematical modeling was actually shared. Based on the results of this study, implications were suggested in the course of training preservice teachers.

Development of remedial learning program for vocational high school students focused on the area of change and relation (특성화고등학교 학생을 위한 수학과 진단평가 및 보정학습 자료 개발 연구 - '변화와 관계' 영역을 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Geum Cheon, Nam
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.409-434
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    • 2013
  • The mathematical ability is an essential element for achieving professional competencies and for enhancing application ability in a vocational world and exploring its experiences. In this aspect, for vocational high school students, it is an important and urgent issue to develop remedial learning programs for developing mathematical basic and application ability. In particular, the program is developed based on the individual achievement level, focused on a mathematical basic ability to be applied efficiently in a vocational world. Because of this reason, in this study, the program is comprised of two phases; one is diagnosis test and the other is remedial teaching and learning materials. Then, diagnosis test includes three test; I) level testing evaluation for selecting the subject of remedial learning, ii) pre-test for deciding on which area and level of the materials when students begin to study, and iii) post-test for confirming the learning status is satisfied and the possibility of next step(level) or the other area of the materials. To accomplish this, this study tried to devise an efficient remedial learning system. Based on the system, this study developed remedial learning programs on the four areas of number and quantity, change and relation, uncertain thing, and figure and shape in the middle school level. In particular, this program is comprised of two types of knowledge. One is K-knowledge which is an essential knowledge to achieve a basic mathematical ability. The other is C-knowledge which is the advanced knowledge required to apply efficiently in a vocational world. This paper deals with the content mentioned above, but examples of the materials is shown focused on the area of change and relation.

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Analysis of the contents related to health education of the 7th education course for elementary schools (제7차 초등학교 교육과정의 보건교육 관련내용 분석)

  • Kim, Young-Ju;Kim, Jung-Soon
    • Journal of the Korean Society of School Health
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    • v.16 no.2
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    • pp.71-84
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    • 2003
  • This study was attempted to offer the basic data required for composing a systemic education contents for health by analyzing the contents related to health education shown in the guidebook for teachers and the schoolbook for students of all grades in the current 7th education course for elementary school. The objectives and data were totally 162 copies which were 90 copies of national schoolbook for 1~6 grades and 72 copies of guidebook for teachers used in elementary schools in the 7th educational course. The standards of selection for the contents related to health education including in each schoolbook were divided into 11 themes using the health care model suggested by Kim, Hwa Joong(1995) in the guidebook for health curriculum for elementary middle high schools. The results of this study are as follows: Firstly, the total hours of health education suggested in the 7th educational course for elementary school were 274 hours and it was 6.2% of the total class of 4,442 hours. Secondly, the contents about health education were distributed into 9 subjects of The right livelihood, The wise livelihood, The cheerful livelihood, Korean, Morals, Society, Science, Physical education, and Practical course etc. Physical education had the most contents about health education and there was nothing in Mathematics, Music and Arts. Thirdly, contents about health of regional society and environmental health were the most of 53 hours(19.3%), and contents about understanding of health were the least of 4 hours(1.4%). Fourthly, contents included equally in every grades were those about safety and emergency response, health of home and society, health of regional society and environmental health.

A study on pre-service teachers' development of assessment items and standards in a mathematical essay course (예비교사의 수리논술 평가문항 개발과 평가 기준 설정에 관한 연구)

  • Lee, Dong-Geun;Choi, Sang-Ho;Kim, Dong-Joong
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.541-563
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    • 2014
  • The purpose of this study is to investigate how the curriculum, in which pre-service teachers experience mathematical process and develop assessment items and standards through the process experience in a mathematical essay course, affects the pre-service teachers and suggest its implications for teacher education. Fourty nine pre-service teachers, registered at a mathematical essay course in a K university in Seoul, developed mathematical essay problems and their assessment standards, and their developed processes were analyzed. According to the analysis results, first, mathematical essay problems developed by the fifty students reflect components of mathematical processes. Especially, one characteristic in revising assessment items shows that pre-service teachers considered not only justification process through different levels of difficulty and mathematical reasoning, but also logical descriptions through problem solving, when they worked on group discussions and examined middle school and high school students' responses. Second, while pre-service teachers developed rubrics for their assessment items and revised the rubrics based on students' responses, they established assessment standards which employed mathematical process by focusing on problem solving process rather than results and considering students' unexpected problem solving. The results imply a concrete method in planning and executing a mathematical essay course which makes use of mathematical process in teacher education.

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Using DGE for Enhancing SMK and PCK of Pre-service Elementary Teachers for the Figure Problem (예비 초등교사들의 도형 문제에 대한 SMK와 PCK 강화를 위한 DGE 활용)

  • Kang, Jeong Gi;Kim, Min Jeong;Jeong, Sang Tae;Roh, Eun Hwan
    • Journal of the Korean School Mathematics Society
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    • v.17 no.2
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    • pp.139-166
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    • 2014
  • The purpose of the study is to enhance the teaching competence for pre-service elementary teacher by using DGE in order to enhance SMK and PCK for them. To do this, we investigated the initial SMK and PCK for 23 pre-service elementary teachers, the reality of implementation activity of DGE and the change of SMK and PCK after quest activity by DGE. As results, 3 pre-service elementary teachers made errors which are misunderstanding a general angle as special angle, an excessive jump of logic and a circulation logic in the aspect of an initial SMK. In the aspect of contents of PCK, most of pre-service elementary teachers proposed teaching focused on the character using in the problem solving. And most of pre-service elementary teachers proposed teaching methods which are based on explanation, measurement and material manipulation. The reality of implementation activity of DGE was classified 4 cases which are a difficulty in understanding the concept of dynamics and embodying in DGE, an obsession about construction of $75^{\circ}$ and generalization, a difficulty in interpreting 'folding activity' mathematically and a good implementation activity. After quest activity by DGE, the case which is misunderstanding a general angle as special angle could be improved, but the others are not. And after quest activity by DGE, most of pre-service elementary teachers still proposed teaching focused on the character using in the problem solving in the aspect of contents of PCK, and some of pre-service elementary teachers added only teaching methods which are involving visual confirmation by GSP. From these results, we could extract some pedagogical implications helping pre-service teachers to reinforce SMK and PCK by DGE.

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Designing a Model of Problem Posing focusing on the Analysis of Meaning (의미 분석을 강조한 문제설정 모형 설계하기)

  • Jun, Young Bae;Roh, Eun Hwan;Kim, Dae Eui;Kang, Jeong Gi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.383-407
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    • 2013
  • As an alternative of making students active and independent under the passive learning conditions in school math classes, many researchers have paid much attention to problem posing and done a lot of research on it. Above all, Brown and Walter proposed What I f Not strategy as a means of problem posing. In this strategy, during the process of posing problems, the transformation of their attributes is inevitably made, and so after problem posing, the process is finished by explaining the problem. But only the simple transformation of attributes could pose wrong problems. It suggests that it is very important to recognize the relationship which leads to organic connection between attributes in order to pose the right problem. However, many other studies of problem posing haven't focused on this fact. Thus, this study tried to design a model of problem posing to help recognize inherent knowledge in the problem and then pose the right problem by adding an activity of meaning analysis. We concretely showed a model of problem posing emphasizing the analysis of meaning by means of an example, thereby examining the meaning of the model. This study expects students to have the chance to understand the true meaning of problem posing and to be active learners after all.

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Exploring Science Classes and Science Teachers of New York Using Professional Teaching Standards by Korean Teachers

  • Yu, Eun-Jeong;Kim, Kahye;Kim, Myong-Hi
    • Journal of the Korean earth science society
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    • v.34 no.5
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    • pp.435-449
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    • 2013
  • The purpose of this study was to investigate the difference of teachers' interaction with their students when teaching science in New York (NY) and in Korea. As part of the 2011 Korean International Teacher Fellows (KITF), supported by the Ministry of Education, Science and Technology (MEST) and the National Institute for International Education Development (NIIED), Korean science teachers observed, for six months, New York's science classes in terms of how teachers interact with their students and how students learn science during science instruction. The participants were 10 science teachers in five middle and high schools that taught Physics, Chemistry, Biology, Earth Science, and Environment Science in NY. The National Board for Professional Teaching Standards (NBPTS, 2003) and Instruction as Interaction (Cohen et al., 2003) were used as an instrument to identify each teacher's teaching and classroom interaction. Several characteristics of science classes in NY were revealed, which are different from Korean science classes. First, science teachers in NY dominantly put more focus on their subject of teaching during science interaction while, Korean science teachers not only teach science but also do counseling to students as a homeroom teacher. Second, science teachers in NY acknowledged the students' individuality and have positive experiences of professional development supported by their school and district more than Korean science teachers do. Third, science teachers in NY sometimes showed limited knowledge about the concepts of science and lack of collaboration with other science teachers. This characteristics may prevent the school from strengthening its subject program and keeping equity across the grade levels and courses.