• 제목/요약/키워드: A-level Mathematics

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Impact of Entry-Level Mathematics Subject-matter Knowledge on Student Teachers' Mathematics Pedagogical Content Knowledge Development and their Mathematics Teaching Practice Performance

  • Wong, Tak-Wah;Lai, Yiu-Chi
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제16권1호
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    • pp.51-66
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    • 2012
  • This study investigated the impact of entry level of mathematics subject knowledge on student teachers' mathematics pedagogical content knowledge development and performance in mathematics teaching practice. The sample consisted of 24 mathematics student teachers, 12 of whom passed A-Level mathematics and 12 of whom only passed O-level mathematics. They were all studying in a 4-year bachelor of education (Honours/Primary) programme; they were either majoring or minoring in mathematics. Results showed that student teachers' entry-level mathematics subject knowledge is not related to their mathematics pedagogical content knowledge development or their mathematics teaching performance. These findings may lead society to consider whether student teachers who have passed O-level mathematics are already eligible to be trained as professional primary mathematics teachers. As a consequence, this study raises the issues of how to develop student teachers' mathematics pedagogical content knowledge and whether we need to restructure our bachelor of education (Primary) programmes' curriculum in teacher professionalism.

공과대학 신입생의 자기주도학습준비도와 수학기초학력평가성적 및 대학수학학업성취도 관계 연구 (A Study of Relationship between SDLR, the Score of Mathematics Diagnostic Assesment and Achievement in College Mathematics of Engineering Students)

  • 이경희;권혁홍
    • 공학교육연구
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    • 제16권1호
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    • pp.54-63
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    • 2013
  • This study aims to investigate relationships among self-directed learning readiness [SDLR], prerequisite mathematics test score and achievement level in college mathematics. For this purpose, the adjusted SDLRS (self-directed learning readiness scale) of Guglielmino's model, the score of mathematics diagnostic assesment and first semester college mathematics score among 424 freshmen students of engineering department of D university in 2011 were used and analyzed. Research results are as follows: Firstly, freshmen of engineering department had average level of SDLR, though they showed relative low level of self-direction, passion and time control ability. Secondly, considering SDLR with the mathematics diagnostic assesment score (3 groups: high, middle, low), there were no statistically significant differences. Thirdly, concerning SDLR according to the achievement level in college mathematics, a group which acquired good achievement showed higher level of SDLR compared with middle or lowachievement group. Differences among three groups were statistically significant. Lastly, there were affirmative relationships between SDLR, mathematics diagnostic assesment score and achievement in college mathematics. Furthermore, mathematics diagnostic assesment score and achievement level in college mathematics were found to be the most closely related. Based on the results, we suggest strategies to elevate SDLR of engineering department students and improve their achievement in college mathematics.

영국의 수학교육에 대한 고찰: 고등학교 수학교육을 중심으로 (A Study on Mathematics Education in the UK Focusing on high school math education)

  • 강현영
    • 한국학교수학회논문집
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    • 제25권2호
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    • pp.175-194
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    • 2022
  • 본 연구는 2022 개정 수학과 교육과정을 앞두고 우리나라의 고등학교 수학과 교육과정과 영국의 고등학교 수학과 교육과정과 비교함으로써 시사점을 제시하고자 한다. 영국은 2017년 이후 16세 이후 수학을 강조하고 평가를 개정하였다. 이에 따라 영국의 고등학교 수학교육과정에 해당되는 Key stage 4, Core Maths, A-level의 내용을 살펴보고, 우리나라 고등학교 공동과목, 일반선택과목, <기하> 과목과 비교하였다. 영국에서는 고등학교 단계에서 수학교육을 강조하고 있는데 이에 따라 교육과정 총론에서 '수리력과 수학'을 강조하고 학생들의 수학 선택권을 확대하고 미래사회를 대비하기 위하여 새로운 수학 교과목 및 평가를 함께 개발하여 시행하고, 기존의 A-level 수학 평가를 개선하였다. 또한 주제 중심의 내용을 Key Stage 3부터 고등학교 단계에서도 발전적이고 지속적으로 다루고 다른 영역의 주제와 연결하여 다룸으로써 수학의 내적 외적 연결성이 용이하도록 구성하고 있었다.

수학학습에서 초등학교 6학년 학생들의 의지통제와 부모의 심리적 통제의 관계 분석 (Analysis of Correlation between Volition Control in Mathematics Learning and Parental Psychological Control of 6th Grade Elementary School Students)

  • 최리연;류현아
    • 한국수학교육학회지시리즈A:수학교육
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    • 제56권4호
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    • pp.435-452
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    • 2017
  • The purpose of this study is to see correlation between parental psychological control and volition control in mathematics learning of 6th grade of elementary school. This study has carried out a survey for 371 male and female students in 6th grade of elementary school in Gyeongnam. We analyzed the collected data statistically, and the results are as follows. First, there was a significant difference in the level of volition control in mathematics learning between male and female students. The level of volition control in mathematics learning was found to be higher in female groups than in male groups. Second, there was no significant difference in father and mother's psychological control level perceived by 6th grade elementary school students. Third, there was a significant negative correlation between parental psychological control and their children's level of volition control in mathematics learning. In this study, by examining the correlation between parental psychological control and volition control level in mathematics learning of elementary school students, the higher the parental psychological control, the lower the level of volition control of their children. So, that it is important to have a parenting attitude that respects their children's emotion and expression.

협력학습을 통한 수학과 학력신장에 관한 연구 (A Study on the Methods of the Enhancement of Scholastic Achievement in Mathematics through Small Group Activities Based on the Students′ Ability Levels.)

  • 이상구
    • 한국학교수학회논문집
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    • 제1권1호
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    • pp.197-205
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    • 1998
  • This study aims to examine how cooperative teaming of small ability level groups influences the enhancement of their scholastic achievement in mathematics. The conclusions are as follows; 1. The students which participate in cooperative learning in small ability level groups demonstrate academic improvement over those that participate in non-cooperative learning groups. 2. In particular, this method is more effective for high-level classes, than for middle or low-level students. 3. The learners' perception, interest and attitude towards mathematics has not changed through their placement in small ability groups involved in cooperative activities.

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LEVEL-m SCALED CIRCULANT FACTOR MATRICES OVER THE COMPLEX NUMBER FIELD AND THE QUATERNION DIVISION ALGEBRA

  • Jiang, Zhao-Lin;Liu, San-Yang
    • Journal of applied mathematics & informatics
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    • 제14권1_2호
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    • pp.81-96
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    • 2004
  • The level-m scaled circulant factor matrix over the complex number field is introduced. Its diagonalization and spectral decomposition and representation are discussed. An explicit formula for the entries of the inverse of a level-m scaled circulant factor matrix is presented. Finally, an algorithm for finding the inverse of such matrices over the quaternion division algebra is given.

교과서를 재구성한 수준별 학습지의 개발과 적용을 통한. 자기학습력 신장에 미치는 영향 (The Effect to Improvement of Self-Educability through the Development and Application of a Level-Learning Materials Reconstructed Text Book - Simultaneous Equations of the Second Year of Middle School -)

  • 박기석;송원수
    • 한국학교수학회논문집
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    • 제3권2호
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    • pp.69-82
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    • 2000
  • Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

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SOME CONSTRUCTION OF ALL LEVEL ARTINIAN O-SEQUENCES OF SOCLE DECREE 5 AND TYPE 3

  • Shin, Dong-Soo;Shin, Yong-Su
    • Journal of applied mathematics & informatics
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    • 제11권1_2호
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    • pp.317-326
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    • 2003
  • We classify all possible level Artinian O-sequences of socle degree 5 and type 3. Moreover, we show how to construct level Artinian algebras with those Hilbert functions using the sum of two ideals of finite sets of points in $P^2$ such that the ideal of the union of two sets is level.

학생의 수학 성취도와 학교의 연대 책임: 다수준 분석 방법의 적용 (A Multilevel Study of Collective Responsibility: Its Effect on Student's Mathematics Achievement)

  • 김연
    • East Asian mathematical journal
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    • 제33권4호
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    • pp.333-351
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    • 2017
  • Schools are expected to ultimately moderate the difference of inequality issues among social groups and reduce the achievement gaps. This study investigates this expectation, in particular, how students' mathematics achievements are influenced by their parents' education at the individual level and by collective responsibility for teaching at the school level as well as the interaction of the two. Using a two-level hierarchical linear model, this study indicates that a school collective responsibility has a larger positive effect on students' mathematics achievement when their parents' education level is high. This means that school's collective responsibility accelerates inequity in students' mathematics achievement. Knowing that collective responsibility has less of an effect on students whose parents' education is not high, researchers, schools, and school districts should continue to search for school effects that have more of a positive impact on the relationship between mathematics achievement for students whose parents' education is not high in order to have more equitable results for all students.

초등학생의 학급 내 수준별 수업을 통한 수학 학업성취도 및 수학적 성향 변화 연구 (A Study of the Effect on Mathematical Learning Achievement and Disposition in a Class Using Level Orientated Teaching Method)

  • 정상태;박종서
    • 한국초등수학교육학회지
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    • 제13권2호
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    • pp.193-210
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    • 2009
  • 급변하는 사회 환경에 따라 학교교육도 다양성을 추구하고 있는 가운데 교실 내에서도 획일적인 수업이 아니라 학생의 수준에 따라 교육과정을 편성하여 운영하도록 요구되는 추세이다. 이에 본 연구에서는 초등학교 6학년 학급 내 기존의 수업방법에서 탈피하고, 개정 제7차 수학과 교육과정에서 강조하고 있는 수준별 수업을 현장에 적용하기 위해 실험집단을 상, 하 집단으로 편성하여 각 집단에 맞는 수준별 수업 프로그램을 구안하여 적용한 후, 수학 학업성취도 및 수학적 성향에 어떠한 영향을 미치는지 알아보았다. 이 연구는 개정 제7차 수학과 교육과정이 추구하는 목적을 사전에 적용하여 분석해 봄으로써 교실에서 수준별 수업의 방향을 제시하고자 한다.

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