• Communications of Mathematical Education
• /
• v.11
• /
• pp.259-277
• /
• 2001

본 연구는 개방형 문제를 활용한 평가가 수학적 창의력에 미치는 효과를 분석함으로써 수학적 창의력을 신장시킬 수 있는 평가 방법을 찾는데 그 목적이 있다. 이를 위해 대구광역시 소재의 C중학교 2학년 1개반과 S중학교 2학년 1개반을 임의로 선정하여 한 반은 개방형 문제를 활용한 평가 집단으로 하고 다른 한 반은 전통적 평가 집단으로 무선 할당하여 실험연구를 실시하였다. 실험처치는 두 집단에게 서로 다른 유형의 평가를 실시하는 것으로, 실험집단은 개방형 문제를 평가과제로 하여 실험집단 담임 교사가 평가를 실시하였으며, 비교집단은 객관식 및 주관식 단답형 문제를 평가과제로 하여 비교집단 담임교사가 전통적인 평가를 실시하였다. 본 연구에서 사용한 검사도구는 수학적 창의력 검사로 사전 사후검사 모두 같은 검사지를 사용하였다. 사후 수학적 창의력 검사의 평균의 차를 t-검정한 결과 유의도p=.025(p < .05)로 실험집단과 비교집단 사이에는 통계적으로 유의미한 차가 있는 것으로 나타났다. 수학적 창의력의 각 요소별로 차이가 있는지 알아보기 위해 사후 창의력 검사의 각 요소별로 평균의 차를 t-검정한 결과, 유창성과 융통성은 각각 유의도 p=.030, p=.040으로 p < .05 수준에서 통계적으로 유의미한 차이가 있었으며, 독창성은 유의도 p=.052로 p < .1 수준에서 통계적으로 유의미한 차이를 보였다. 연구결과 개방형 문제를 활용한 평가가 전통적 평가보다 수학적 창의력 향상에 더 효과적이며, 수학적 창의력의 세 가지 요소(유창성, 융통성, 독창성)의 향상에도 효과적인 것으로 나타났다. 결론적으로 개방형 문제를 활용한 평가가 수학적 창의력 신장에 효과적인 방법임을 시사한다.질공학적 특성의 위도별, 깊이별 변화는 탄산질 퇴적물과 규질 퇴적물의 분포, 수층의 생산성 및 수심변화에 따른 용해도와 퇴적을 차이 그리고 침식 및 재퇴적작용 등 퇴적 과정이 위도별로 달랐기 때문으로 판단된다.haetoceros resting spores/Chaetoceroe vegetative cells도 80 cm 보다 상층에서는 높게 나타나 규조온도지수 분포와도 일치하는 경향을 보인다. 이상의 규조군집 분석 결과에 의하면, 홀로세의 후빙기동안 본 연구 지역인 동해 북동부에는 대마 난류의 유입이후 현재와 유사한 환경이 우세하게 발달했으나, 난류종 P. doliolus의 변화는 동해내에서 대마난류의 세기가 반복되었음을 지시하고 있다./3 수준으로 높다. 결론적으로 풍부한 화학물질들을 함유한 제주해류는 남해 및 동해의 생지화학적 과정들에 있어 상당히 중요함을 시사한다.다. 수조 상층수 중 Cu, Cd, As 농도는 모든 FW, SW수조에서 시간이 지남에 따라 일관성 있게 감소하였고, 제거속도는 Cu가 다른 원소에 비해 빨랐다. 제거속도는 FW 3개 수조 중 FW5&6에서 세 원소 모두 가장 느렸고, SW 3개 수조 중에서는 SW1&2에서 가장 빨랐다. SW와 FW간 제거속도 차이는 세 원소 모두 명확치 않았다 Cr은 FW에서 전반적으로 감소하는 경향을 보였지만 SW에서는 실험 초기에 감소하다 24시간 이후에는 증가 후 일정한 양상을 보였다. Pb은 FW에서 전반적으로 감소했지만 SW에서는 초기에 급격히 증가 후 다시 급격히 감소하는 양상을 보였다 Pb 또한 Cu, Cd, As와 마찬가지로 SW1&2에서 제거속도가 가장 빠르게 나타났다. FW 상층수 중 Hg는 시간에 따라 급격히 감소했고,

• 전기의세계
• /
• v.11
• /
• pp.1-7
• /
• 1963

직류분권 전동기에 있어서 정상운전시에 계자회로를 개방하면 회전자의 속도가 매우 상승하는 경향이 있다. 여기에서는 이러한 이상현상 자체를 수학적으로 해석해서 개방후의 회전자의 속도변화와 전기자전류의 변화를 시간의 함수로써 구하였다. 그리고 회전자의 속도 및 전기자전류, 잔류자기와 회전자 최종속도와의 관계, 부하 torque를 생각했을 경우의 회전자속도강하조건, 및 speed-torque curve도 구해보았다. Speed-torque curve의 경우에는 수학적으로는 복잡함으로 간단히 하기 위하여 과도기간을 편의상 subtransient와 transient의 두가지 period로 나눈 다음 물리적 현상을 고려하여 sub-transient를 무시해서 생각하였다. 본 실험에서 detector로는 Diehl tachometer-generator를, tachometer입력으로는 Hewlett-Packard사제 Model 200CD형 oscillator에 의한 20cps signal을 사용하였다. 그리고 회전 속도와 전기자전류를 Duel Channel Sanborn-150 recorder로 기록하였다.

• Communications of Mathematical Education
• /
• v.34 no.4
• /
• pp.525-544
• /
• 2020

There are many factors that affect academic achievement, and the influences of those factors are also complex. Since the factors that influence mathematics academic achievement are constantly changing and developing, longitudinal studies to predict and analyze the growth of learners are needed. This study uses longitudinal data from 2014 (second year of middle school) to 2017 (second year of high school) of the Seoul Education Longitudibal Study, and divides it into groups with similar longitudinal patterns of change in mathematics academic achievement. The longitudinal change patterns and direct influence of mood and satisfaction were examined. As a result of the study, it was found that the mathematics academic achievement of the first group (1456 students, 68.3%) including the majority of students and the second group (677 students) of the top 31.7% had a direct influence on the mathematics class attitude. It was found that the mood and satisfaction of mathematics classes did not have a direct effect. In addition, the influence of mathematics class attitude on mathematics academic achievement was different according to the group. In addition, students in group 2 with high academic achievement in mathematics showed higher mathematics class attitude, mood, and satisfaction. In addition, the attitude, atmosphere, and satisfaction of mathematics classes were found to change continuously from the second year of middle school to the second year of high school, and the extent of the change was small.

• Communications of Mathematical Education
• /
• v.29 no.4
• /
• pp.745-762
• /
• 2015

In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

• Journal of Elementary Mathematics Education in Korea
• /
• v.23 no.4
• /
• pp.405-435
• /
• 2019

Despite the recent emphasis on value research in mathematics education along with the significance of values from a new perspective, there has been a lack of research on the values perceived by teachers and students in Korea. This paper analyzes how fifth-grade students would perceive the values of a master teacher with expertise in elementary mathematics education after her teaching of mathematics and whether their values on mathematics learning would change. According to the study, the students recognized that the master teacher valued understanding, preview-review, picture, problem, and reason in mathematics learning. Among these, the value of understanding was perceived as the core value. An analysis of the students' values on general mathematics learning and personal mathematics learning showed that preview and review were the most important before and after the master teachers' teaching. An analysis of the changes in the values of students showed the greatest change in the value of understanding. Instead of accepting the values of the master teacher as it were, students actively reconstructed and maintained them. Based on these results, this paper has drawn implications regarding the consideration of students' values in mathematics learning.

• Journal of Educational Research in Mathematics
• /
• v.23 no.4
• /
• pp.553-565
• /
• 2013

The purpose of this study was to examine how the Lakatos method works in the elementary teacher education program. Elementary preservice teachers were given a task in which they examined the Pick's theorem. The finding revealed that Lakatos method was usable in the elementary teacher education. They produced initial conjecture and found counterexamples, and finally made improved conjectures. These experience encourage them to change their belief of teaching and learning mathematics and to find alternative ways of teaching mathematics.

• Journal of Elementary Mathematics Education in Korea
• /
• v.4 no.1
• /
• pp.21-37
• /
• 2000

Although methods about teaching basic principles and skills of addition and subtraction is long traditional, view points of interpreting those algorithms and ways of introducing those calculating skills are various according to textbooks at each historical stage of elementary mathematics curriculum development in Korea. The 1st and 2nd stage shows didactic transpositions less systemic. In the 3rd and 4th stage, didactic devices, which were influenced by the new math, for help of understanding the principles of addition and subtraction muchly depends on mathematical and logical mechanism rather than psychological and intellectual structure of students who learn those algorithms. Relatively compromising and stable forms appear in the 5th and 6th stages. Didactic transpositions in the 7th stage focus on the formation of mathematical concepts by exploration activities rather than on the presentation of mathematical contents by text. Anyone who wishes to design an elementary mathematics textbooks based upon the constructive view should consider the suggestions derived from such transition.

• Communications of Mathematical Education
• /
• v.35 no.1
• /
• pp.1-14
• /
• 2021

Mathematics anxiety is a term for emotional and physical resistance to mathematics. Understanding students' mathematics anxiety is important not only in terms of improving mathematics academic achievement, but also in nurturing mathematics manpower necessary for the future society. In particular, mathematics anxiety is most likely to occur in elementary school, and it has a negative effect on subsequent learning. Therefore, it is important to understand the aspects of students' mathematics anxiety in elementary school. In this study, I presented the patterns of changes in students' mathematics anxiety over time and statistically verified them. As a result of a follow-up survey of 249 elementary school students' mathematics anxiety for 3 years from 4th to 6th grade, it was found that, rather than having a special pattern related to the formation of math anxiety, it may increase and decrease and vary depending on individual confirmed. Later, in this study, five patterns of Mathematics anxiety patterns were identified through statistical analysis. In addition, I confirmed that the students' interest about teachers' mathematics lessons was consistently influencing the change in mathematics anxiety. The results of this study will increase students' understanding of the formation of mathematics anxiety and can be used as basic data for the development of teaching and learning materials related to mathematics anxiety in the future and subsequent research.

• The Mathematical Education
• /
• v.63 no.1
• /
• pp.19-33
• /
• 2024

This study investigates longitudinal patterns in middle school students' mathematics interest and achievement using panel data from the 4th to 6th year of the Gyeonggi Education Panel Study. Results from the multivariate growth mixture model confirmed the existence of heterogeneous characteristics in the longitudinal trajectory of students' mathematics interest and achievement. Students were classified into four latent classes: a low-level class with weak interest and achievement, a high-level class with strong interest and achievement, a middlelevel-increasing class where interest and achievement rise with grade, and a middle-level-decreasing class where interest and achievement decline with grade. Each class exhibited distinct patterns in the change of interest and achievement. Moreover, an examination of the correlation between intercepts and slopes in the multivariate growth mixture model reveals a positive association between interest and achievement with respect to their initial values and growth rates. We further explore predictive variables influencing latent class assignment. The results indicated that students' educational ambition and time spent on private education positively affect mathematics interest and achievement, and the influence of prior learning varies based on its intensity. The perceived instruction method significantly impacts latent class assignment: teacher-centered instruction increases the likelihood of belonging to higher-level classes, while learner-centered instruction increases the likelihood of belonging to lower-level classes. This study has significant implications as it presents a new method for analyzing the longitudinal patterns of students' characteristics in mathematics education through the application of the multivariate growth mixture model.

• Journal of Elementary Mathematics Education in Korea
• /
• v.9 no.1
• /
• pp.19-38
• /
• 2005

There are differences in manner to be shown according to a basic point of view about knowledge in division which is traditional algorithm. The 1st and 2nd stage show didactic transpositions less systemic. The 3rd stage, which were influenced by the new math, uses logical mechanism. The 4th stage shows conceptual knowledge of the division independently. The 5th and 6th stage use concrete models which shows a course. The 7th stage constitutes contents systematically and shows many chances which focus on the formation of knowledge. The suggestions derived from such transition should be considered in the practice class and an elementary mathematics textbooks for meaningful learning.