• 제목/요약/키워드: College Mathematics Education

검색결과 839건 처리시간 0.027초

보기보다 쉽지 않다: 초등 수학교육과정에 대한 수학교사의 인식 (Not as easy as It Looks: Korean Elementary Classroom Teacher Perceptions of Mathematics Curriculum)

  • 정인숙;류희찬
    • 대한수학교육학회지:학교수학
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    • 제8권4호
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    • pp.365-377
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    • 2006
  • 본 연구는 제7차 수학교육과정에 대한 한국 초등 수학 교사들의 인식을 조사하였다. 본 연구자들이 고안한 설문지를 사용한 결과 모두 143명이 설문에 응하였다. 데이터는 기술적 방법에 의거 분석되었다. 응답자의 67%가 교육 과정이 범위와 계열에 있어 만족스럽다고 보고 있으나 43%는 가르칠 내용의 교수학적 전략이 교사용 지도서에 보다 자세히 명기될 필요성을 지적하고 있다. 38명(26%)는 너무 많은 내용이 지도되고 있다고 지적하고 있으며 35명(24%)는 가르칠 내용이 학생들의 인지 발달 수준에 비해 너무 어렵다고 지적하고 있다. 응답자들은 수학을 지도하는 데 있어서 가장 어려운 점으로 과외 활동으로 인해 관계로 능력 차가 매우 다른 학생들을 대상으로 수업을 개별화하는 것임을 지적하고 있다.

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AN EFFICIENT AND ROBUST NUMERICAL METHOD FOR OPTION PRICES IN A TWO-ASSET JUMP-DIFFUSION MODEL

  • Lee, Chaeyoung;Wang, Jian;Jang, Hanbyeol;Han, Hyunsoo;Lee, Seongjin;Lee, Wonjin;Yang, Kisung;Kim, Junseok
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제27권4호
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    • pp.231-249
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    • 2020
  • We present an efficient and robust finite difference method for a two-asset jump diffusion model, which is a partial integro-differential equation (PIDE). To speed up a computational time, we compute a matrix so that we can calculate the non-local integral term fast by a simple matrix-vector operation. In addition, we use bilinear interpolation to solve integral term of PIDE. We can obtain more stable value by using the payoff-consistent extrapolation. We provide numerical experiments to demonstrate a performance of the proposed numerical method. The numerical results show the robustness and accuracy of the proposed method.

수학 교과에서의 교과 역량을 반영한 수업비평문 개발 연구 (The Development of the Items on Class Critiques Involving the Mathematical Competencies)

  • 유지원;황혜정
    • East Asian mathematical journal
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    • 제36권4호
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    • pp.475-492
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    • 2020
  • This study is to establish the items on class critiques based on the mathematical competencies according to the mathematics curriculum revised in 2015. Namely, this study deals with the items on how pre-service or in-service teachers understand and comment on mathematics instruction on their own instruction or peers' instruction. To accomplish this, first of all the draft items on instructional reviews was developed by researchers of this study on the basis of the previous study(Hwang, 2018). In order to revise and develop the draft items, the experimental study was executed. The experimental study was done by the subject of 11 groups who are undergraduate students in the educational college of C University. The subject was supposed to watch an in-service middle school mathematics teacher's excellent instruction(study) video and to comment the instruction video on the draft items on class critiques. While analyzing the comments of the subject, the revised items on the class critiques were to be develop. Based on this study, from now on, the final and ideal items on the class critiques would be establish to reflect and comment teachers' instruction.

전통적인 길이 척도 환산에 대한 역사·문화적 재고 (A Study on Historical and Cultural Viewpoints of Traditional Measuring Units Conversion)

  • 이동명;김재효;강연석;고호경
    • 한국의사학회지
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    • 제23권2호
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    • pp.15-22
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    • 2010
  • Currently, in Korea, all lengths are written in "meter" unit, and the non-statutory measuring units are banned for use. However, in some fields, traditional measuring units are widely used with necessary modifications, and people in such fields raise varying arguments on conversion to "meter" unit. This research examines traditional measuring units from historical and cultural viewpoints, and provides suggestions on how to improve consistency and standardization for more accurate and effective exchangeof scientific opinions.

Effects of a GAISE-based teaching method on students' learning in introductory statistics

  • Erhardt, Erik Barry;Lim, Woong
    • Communications for Statistical Applications and Methods
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    • 제27권3호
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    • pp.269-284
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    • 2020
  • This study compares two teaching methods in an introductory statistics course at a large state university. The first method is the traditional lecture-based approach. The second method implements a flipped classroom that incorporates the recommendations of the American Statistical Association's Guidelines for Assessment and Instruction in Statistics Education (GAISE) College Report. We compare these two methods, based on student performance, illustrate the procedures of the flipped pedagogy, and discuss the impact of aligning our course to current guidelines for teaching statistics at the college level. Results show that students in the flipped class performed better than students in traditional delivery. Student questionnaire responses also indicate that students in flipped delivery aligned with the GAISE recommendations have built a productive mindset in statistics.

미적분학 수업에 그룹게임을 적용한 협동학습 사례 (A Case Study of Cooperative Learning: Applying Group Game to Calculus Class)

  • 조영;김미라
    • 공학교육연구
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    • 제24권4호
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    • pp.41-51
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    • 2021
  • This paper is to study whether cooperative learning applying group games becomes a teaching method that can increase interest and participation in class in calculus and the effect of the number of students. To increase interest and participation in class, the researcher conducted cooperative learning by applying smartphones and various game tools to group games. The consequences of the study confirmed that students' interest and participation in the class increased regardless of their mathematics basics. Therefore, it is expected that the calculus which is difficult for students to understand will be more easily approached by cooperative learning applying group games in the future.

Qualitative and quantitative assessment of process related impurities in Brigatinib raw material and formulations using HPLC

  • Attada Tharun;Potnuru Jagadeesh;B Srinivasa Kumar;Kota Thirumala Prasad;Venkateswara Rao Anna
    • 분석과학
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    • 제36권4호
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    • pp.180-190
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    • 2023
  • The presence of process related impurities in any drug or the drug product was associated with its safety, stability and efficacy. The overall literature survey proved that there is no method published on the assessment of process related impurities in brigatinib. In this study, a simple, reliable and stable HPLC qualitative method was reported for quantification of process related impurities with easy and quick extraction procedure. The impurities along with standard brigatinib was resolved on Lichrospher® C18 (250 mm × 4.6 mm; 5 ㎛ particle size) column in room temperature using methanol, acetonitrile, pH 4.5 phosphate buffer in 55:25:20 (v/v) at 1.0 mL/min as mobile phase and UV detection at 261 nm. The method produces well resolved peaks at retention time of 4.60 min, 12.28 min, 3.37 min, 7.34 min and 8.39 min respectively for brigatinib, impurity A, B, C and D. The method produces a very sensitive detection limit of 0.0065 ㎍/mL, 0.0068 ㎍/mL, 0.0053 ㎍/mL and 0.0058 ㎍/mL for impurity A, B, C and D respectively with calibration curve linear in the concentration range of 22.5-135 ㎍/mL for brigatinib and 0.0225-0.135 ㎍/mL for impurities. The method produces all the validation parameters under the acceptable level and doesn't produces any considerable changes in peak area response while minor changes in the developed method conditions. The method can effectively resolve the unknown stress degradation products along with known impurities with less % degradation. The method can efficiently resolve and quantify the impurities in formulation and hence can suitable for the routine quality analysis of brigatinib in raw material and formulation.

Characterization of degradation products of the Balsalazide by Mass spectrometry: Optimization of stability-indicating HPLC method for separation and quantification of process related impurities of Balsalazide

  • Chilakabattina Naga Narasimha Babu;Ch. Srinivasa Reddy;Bhagya Kumar Tatavarti;M. Radha Madhavi;Venkateswara Rao Anna
    • 분석과학
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    • 제37권1호
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    • pp.25-38
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    • 2024
  • The study aimed to investigate a novel approach by utilizing liquid chromatography (LC) and liquid chromatography-mass spectrometry (LC-MS) to separate, identify and characterize very nominal quantities of degradation products (DPs) of balsalazide along with its process related impurities without isolation from their reaction mixtures. The impurities along with balsalazide were resolved on spherisorb ODS2 (250×4.6 mm, 5.0 ㎛) column at room temperature using 0.2 M sodium acetate solution at pH 4.5 and methanol in the ratio of 55:45 (v/v) as mobile phase pumped isocratically at 1.0 mL/min as mobile phase and UV detection at 255 nm. The method shows sensitive detection limit of 0.003 ㎍/mL, 0.015 ㎍/mL and 0.009 ㎍/mL respectively for impurity 1, 2 and 3 with calibration curve liner in the range of 50-300 ㎍/mL for balsalazide and 0.05-0.30 for its impurities. The balsalazide pure compound was subjected to stress studies and a total of four degradation products (DPs) were formed during the stress study and all the DPs were characterized with the help of their fragmentation pattern and the masses obtained upon LC-MS/MS. The DPs were identified as 3-({4-[(E)-(4-hydroxyphenyl) diazenyl]benzoyl}amino)propanoic acid (DP 1), 4-[(E)-(4-hydroxyphenyl)diazenyl] benzamide (DP 2), 5-[(E)-(4-carbamoylphenyl)diazenyl]-2-hydroxybenzoic acid (DP 3) and 3-({4-[(E)-phenyldiazenyl]benzoyl}amino)propanoic acid (DP 4). Based on findings, it was concluded that, the proposed method was successfully applicable for routine analysis of balsalazide and its process related impurities in pure drug and formulations and also applicable for identification of known and unknown impurities of balsalazide.

IFP RINGS AND NEAR-IFP RINGS

  • Ham, Kyung-Yuen;Jeon, Young-Cheol;Kang, Jin-Woo;Kim, Nam-Kyun;Lee, Won-Jae;Lee, Yang;Ryu, Sung-Ju;Yang, Hae-Hun
    • 대한수학회지
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    • 제45권3호
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    • pp.727-740
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    • 2008
  • A ring R is called IFP, due to Bell, if ab=0 implies aRb=0 for $a,b{\in}R$. Huh et al. showed that the IFP condition need not be preserved by polynomial ring extensions. But it is shown that ${\sum}^n_{i=0}$ $E_{ai}E$ is a nonzero nilpotent ideal of E whenever R is an IFP ring and $0{\neq}f{\in}F$ is nilpotent, where E is a polynomial ring over R, F is a polynomial ring over E, and $a_i^{'s}$ are the coefficients of f. we shall use the term near IFP to denote such a ring as having place near at the IFPness. In the present note the structures of IFP rings and near-IFP rings are observed, extending the classes of them. IFP rings are NI (i.e., nilpotent elements form an ideal). It is shown that the near-IFPness and the NIness are distinct each other, and the relations among them and related conditions are examined.

생동하는 신앙 교육을 위한 가톨릭 학교의 종교교육에 관한 연구 (Religious Education in Catholic Schools to Educate for Living Faith)

  • 토마스 그룸
    • 기독교교육논총
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    • 제61권
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    • pp.37-60
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    • 2020
  • 이 연구의 핵심은 가톨릭계 학교에서 생동하는 신앙을 가르치는 종교교육으로 그것은 단순히 종교와 신앙의 전통을 전수하는 그러한 형태의 수업과는 차이가 있다. 지금까지 종교교육의 형태는 가정과 교구에서는 배타적인 형태의 신앙으로 그 교육적 과업이 제한되어 왔다. 반면에 가톨릭 학교의 종교교육은 수학교과 혹은 과학교과와 같이 단지 학문 원리로 종교교육이 수행되어 왔다. 이 논문은 최근 현대 사회 속에서 가톨릭계 학교에서 이루어지는 종교교육의 축소에 주목하면서, 기독교의 신앙과 기독교의 지적 전통이 본래적으로 지니고 있은 본질, 목적, 앎의 양식을 촉진하는 종교교육의 근간을 제안함에 연구의 목적이 있다.