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용용과 모델 구성을 중시하는 수학과 교육 과정 개발 방안 탐색

  • Jeong Eun Sil
    • The Mathematical Education
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    • v.30 no.1
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    • pp.1-19
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    • 1991
  • This study intends to provide some desirable suggestions for the development of application oriented mathematics curriculum. More specific objects of this study is: 1. To identify the meaning of application and modelling in mathematics curriculm. 2. To illuminate the historical background of and trends in application and modelling in the mathematics curricula. 3. To consider the reasons for including application and modelling in the mathematics curriculum. 4. To find out some implication for developing application oriented mathematics curriculum. The meaning of application and modelling is clarified as follows: If an arbitrary area of extra-mathematical reality is submitted to any kind of treatment which invovles mathematical concepts, methods, results, topics, we shall speak of the process of applying mathemtaics to that area. For the result of the process we shall use the term an application of mathematics. Certain objects, relations between them, and structures belonging to the area under consideration are selected and translated into mathemtaical objects, relation and structures, which are said to represent the original ones. Now, the concept of mathematical model is defined as the collection of mathematical objcets, . relations, structures, and so on, irrespective of what area is being represented by the model and how. And the full process of constructing a mathematical model of a given area is called as modelling, or model-building. During the last few decades an enormous extension of the use of mathemtaics in other disciplines has occurred. Nowadays the concept of a mathematical model is often used and interest has turned to the dynamic interaction between the real world and mathematics, to the process translating a real situation into a mathematical model and vice versa. The continued growing importance of mathematics in everyday practice has not been reflected to the same extent in the teaching and learning of mathematics in school. In particular the world-wide 'New Maths Movement' of the 19608 actually caused a reduction of the importance of application and modelling in mathematics teaching. Eventually, in the 1970s, there was a reaction to the excessive formallism of 'New Maths', and a return in many countries to the importance of application and connections to the reality in mathematics teaching. However, the main emphasis was put on mathematical models. Applicaton and modelling should be part of the mathematics curriculum in order to: 1. Convince students, who lacks visible relevance to their present and future lives, that mathematical activities are worthwhile, and motivate their studies. 2. Assist the acqusition and understanding of mathematical ideas, concepts, methods, theories and provide illustrations and interpretations of them. 3. Prepare students for being able to practice application and modelling as private individuals or as citizens, at present or in the future. 4. Foster in students the ability to utilise mathematics in complex situations. Of these four reasons the first is rather defensive, serving to protect or strengthen the position of mathematics, whereas the last three imply a positive interest in application and modelling for their own sake or for their capacity to improve mathematics teaching. Suggestions, recomendations and implications for developing application oriented mathematics curriculum were made as follows: 1. Many applications and modelling case studies suitable for various levels should be investigated and published for the teacher. 2. Mathematics education both for general and vocational students should encompass application and modelling activities, of a constructive as well as analytical and critical nature. 3. Application and modelling activities should. be introduced in mathematics curriculum through the interdisciplinary integrated approach. 4. What are the central ideas of, and what are less-important topics of application-oriented curriculum should be studied and selected. 5. For any mathematics teacher, application and modelling should form part of pre- and in-service education.

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Residue Study for Bisphenol A in Agricultural Reservoirs (농업용 저수지에서 Bisphenol A의 잔류실태조사)

  • Cho, Il Kyu;Nam, Hyo Song;Jeon, Yongbae;Park, Jun sung;Na, Tae Wong;Kim, Back Jong;Kan, Eunsung
    • Korean Journal of Environmental Agriculture
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    • v.35 no.4
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    • pp.270-277
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    • 2016
  • BACKGROUND: Significant amount of bisphenol A has been released from the manufacturing process of plastics, epoxy resins, dental material and flame retardants. Bisphenol A has been detected at trace levels in wastewater, surface water, landfill leachate and drinking water. However, the residual survey of bisphenol A has not been performed in agricultural reservoir beside agricultural environment cultivating crops. This study was conducted to monitor the residual bisphenol A in national agricultural reservoirs and understand a level of contamination of bisphenol A in the agricultural environment in Korea. METHODS AND RESULTS: The water and water sediment were collected at agricultural reservoirs in Chungnam, Chungbuk, Kyunggi, Jeonnam, Jeonbuk, Kyungnam and Kyungbuk province. Bisphenol A was analyzed by the LC-MS/MS with triple quad 4500. The recovery of water and water sediment in the agricultural reservoirs showed the level of 95.7~97.2% and 91.5~100.3%, respectively. CONCLUSION: Bisphenol A was detected at the level of $0.05{\mu}g/L{\sim}0.18{\mu}g/L$ and $0.1{\mu}g/kg{\sim}34{\mu}g/kg$ in water and water sediment of the reservoirs, respectively. Based on the results, the residue of bisphenol A will be tried in the crops surrounding these agricultural reservoirs where bisphenol A detected above $10{\mu}g/kg$ of bisphenol A.

Efficacy of Pamidronate in Nephropathic Children with Ongoing Long Term Corticosteroid Therapy (장기 스테로이드 치료요법 중인 신질환 환자에서 Pamidronate의 효과)

  • Hong Hyun-Kee;Kim Eun-Seong;Kim Sung-Do;Cho Byoung-Soo
    • Childhood Kidney Diseases
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    • v.8 no.1
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    • pp.43-50
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    • 2004
  • Background : Steroid-induced osteoporosis(SIO) is one of the serious complications of long-term steroid therapy, especially in growing children. Recently bisphosphonates have been used to treat or prevent SIO in adult, which is rare in children with glomerular diseases. We studied the effect of pamidronate on SIO using dual energy X-ray absorptiometry and biochemical markers of bone turnover. Methods : Forty four children receiving moderate-to-high doses of steroids were enrolled. They had no history of bone, liver, or endocrine disease. Patients were stratified by their baseline bone mineral density(BMD) findings. All patients received corticosteroids for 3 month and oral calcium supplementation(500 mg/day) daily. Among them, 28 patients were treated with placebo and 16 were treated with pamidronate(125 mg) for 3 months. Blood chemistry and bone mineral density(BMD) were measured at baseline, and 3months. In addition, parathyroid hormone(PTH), serum osteocalcin, and urinary dipyridinoline levels were evaluated. Results : In overall population, the mean lumbar spine BMD decreased from $0.754{\pm}0.211(g/cm^2)$ to $0.728{\pm}0.208(g/cm^2)$ in the placebo group(P<0.05) and increased from $0.652{\pm}0.194(g/cm^2)$ to $0.658{\pm}0.226(g/cm^2)$ in the pamidronate group(P>0.05). Conclusion : Pamidronate appears to be effective in preventing SIO in children with glomerular diseases requiring long-term steroids therapy. Further careful observation and follow-up might be needed for children receiving bisphosphonates such as pamidronate.

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Measurement of Effective Half-life Using Dual Time I-131 Whole Body Scan in Patients with Differentiated Thyroid Cancer Treated by High Dose Therapy (고용량 방사성옥소 치료를 받은 갑상선분화암 환자에서 Dual Time I-131 Whole Body Scan을 이용한 유효반감기의 측정)

  • Yoon, Jae Sik;Lee, Jae Gon;Lee, Ki Hyun;Lim, Kwang Seok;Choi, Hak Ki;Lee, Sang Mi
    • The Korean Journal of Nuclear Medicine Technology
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    • v.18 no.1
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    • pp.98-103
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    • 2014
  • Purpose: The effective half life of I-131 is useful to calculate radiation dose, period of hospitalization, and exposure dose of surrounding people from patient. However, it is difficult to measure. This study estimates the effective half life in whole body and thyroid in using of value of residual radioactivity obtained from the early and delay images of Dual time I-131 whole body scan. Also, the correlations between the effective half life and serum creatinine, GFR, and administration dose were investigated in this study. Materials and Methods: The targets were 50 patients administration high dose of I-131 from February to August in 2013, having normal range of serum creatinine and over $30{\mu}IU/mL$ of TSH levels. After administration radioactive I-131, the early scan in the 3rd day and the delay scan in the 5-6th days were performed. To measure the residual radioactivity in the whole body and thyroid, ROI was set and then background radioactivity was corrected to estimate. The effective half life was estimated by calculating the ratio of measured values between the early and delay images. To compare the effective half lives of the whole body and thyroid, it was analyzed by Independent t-test, and each correlation of the effective half life, GFR, serum creatinine, and the dose of administration were analyzed by calculating the pearson's correlation coefficient. All of the analysis were determined to be statistically significant when P<0.05. Results: The effective half life of the whole body was $17.06{\pm}5.50$ hours and of the thyroid was $17.22{\pm}5.41$ hours. The two effective half life did not show significant difference (P=0.887). As the value of GFR was increased, the effective half life of whole body (r=-0.407, P=0.003) and of thyroid (r=-0.473, P=0.001) were significantly decreased; as the value of serum creatinine was increased, the effective half life of whole body (r=0.309, P=0.029) and of thyroid (r=0.371, P=0.008) were significantly increased. In the administration dose, effective half life did not have correlations. Conclusion: The effective half life of I-131 of patients treated for their thyroids were estimated only by using the images of Dual time I-131 whole body scan. Also, the correlations with the effective life, GFR, and serum creatinine were examined. This study might be utilized for a study on optimization for the period of hospitalization of patients treated by high dose of I-131 and on evaluation for internal absorbed dose of MIRD schema in application of the effective half life.

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Independent Prognostic Value of the Fascin Expression in Patients with Esophageal Cancer (식도암에 있어서 Fascin의 발현과 예후와의 상관관계에 대한 연구)

  • Choi, Pill-Jo;Jeong, Sang-Seok;Bang, Jung-Heui;Cho, Kwang-Jo;Woo, Jong-Soo;Roh, Mee-Sook
    • Journal of Chest Surgery
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    • v.41 no.1
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    • pp.74-81
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    • 2008
  • Background: Fascin is an actin-bundling protein that induces membrane protrusions and it increases cell motility in various transformed cells. Esophageal cancer is one of the most lethal malignancies, and it exhibits extensive local invasion or frequent regional lymph node metastasis even after curative surgery. We investigate the expression of fascin by performing immunohistochemistry to evaluate the clinical characteristics and prognostic significance of its expression in esophageal cancer patients. Material and Method: Immunochemistry for fascin was performed on 76 tumor samples from 76 patients who underwent esophageal cancer operations. The expression levels of fascin in the 76 esophageal cancer tissues were compared with those in the corresponding normal esophageal epithelium. The fascin-positive samples were defined as those showing more than 75% of fascin-positive cells. Result: Overall, a fascin positive expression was detected in 39 (51.3%) out of the total 76 cases. The tumors with positive fascin expression tended to more frequently show a higher stage (p=0.030), and a higher T-factor (p=0.031). The prognosis of the fascin negative group was significantly better than that of the fascin positive group (p=0.004). Multivariate analysis revealed that lymphovascular invasion and the fascin expression were independent prognostic factors. Conclusion: Fascin was expressed in 513% of the esophageal cancer tissues and a positive expression of fascin was associated with more advanced tumor progression and recurrence. Our study suggests that the fascin expression may be an independent prognostic factor for an unfavorable clinical course few those patients suffering with esophageal cancer.

Alteration of Apurinic/Apyrimidinic Endonuclease-1/Redox Factor-1 in Human Mon-small Cell Lung Cancer (비소세포 폐암조직에시 Apurinic/Apyrimidinic Endonuclease-1/Redox Factor-1의 발현변화)

  • Yoo, Dae-Goon;Song, Yun-Jeong;Cho, Eun-Jung;Kang, Min-Woong;Han, Jong-Hee;Na, Myung-Hoon;Lim, Seung-Pyung;Yu, Jae-Hyeon;Jeon, Byeong-Hwa;Lee, Young
    • Journal of Chest Surgery
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    • v.40 no.8
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    • pp.529-535
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    • 2007
  • Background: An imbalance between oxidants and antioxidants leads to oxidative stress, and this has been proposed to play an important role in the pathogenesis of lung neoplasm. Apurinic/apyrimidinic endonuclease-1/redox factor-1 (APE/ref-1) is a multifunctional protein involved in DNA base excision repair and the redox regulation of many transcription factors. However, the alteration of the expressed levels of APE/ref-1 in non-small cell lung cancer is unknown. Material and Method: Forty-nine patients with surgically resected non-small cell lung cancer (NSCLC) were included in this study. Immunohistochemical staining with APE/ref-1 antibodies was performed, and their expressions were analyzed via Western blotting for specific antibodies. Result: APE/ref-1 was localized at the nucleus and mainly in the non-tumor region of the NSCLC tissue specimens; it was expressed in the cytoplasm and nucleus of the NSCLC. The nuclear and cytoplasmic expressions of APE/ref-1 in lung cancers were markedly up-regulated in the NSCLC, and this was correlated with the clinical stage. Catalase, as first-line antioxidant defense, was dramatically decreased in the NSCLC. Conclusion: Taken together, our results suggest that APE/ref-1, and especially cytoplasmic APE/ref-1, was upregulated in the lung cancer regions, and this may contribute to the compensatory defense system against oxidative stress. A low expression of catalase might have fundamental effects on the extracellular redox state of lung tumors, along with the potential consequences for the tumors.

B-type Natriuretic Peptide (BNP) as a Predictive Marker after Heart Transplantation (심장이식 후 예측인자로서 B-type Natriuretic Peptide (BNP)의 역할)

  • Shin, Hong-Ju;Kim, Hee-Jung;Choo, Suk-Jung;Kim, Jae-Joong;Song, Meong-Gun
    • Journal of Chest Surgery
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    • v.40 no.8
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    • pp.552-557
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    • 2007
  • Background: B-type natriuretic peptide (BNP) is a cardiac hormone that is primarily synthesized by the ventricular cardiac myocytes. Increased plasma BNP levels have been observed in patients suffering with congestive heart failure, ventricular hypertrophy and myocaridits and also during heart transplantation rejection. We investigated the serum BNP level as a predictive marker for rejection after heart transplantation. Material and Method: To test the usefulness of measuring the BNP level in cardiac transplant patients, consecutive blood samplings for BNP, right ventricular endomyocardial biopsies, hemodynamic measurements and transthoracic echocardiogram were all done in 10 such patients between January 2004 and August 2005 at the Department of Thoracic and Cardiovascular Surgery in Asan Medical Center. Two groups were identified with using the median value: the low BNP group (n=28, BNP: ${\le}290$ pg/mL) and the high BNP group (n=29, BNP: >290 pg/mL). We retrospectively analyzed rejection, the ejection fraction, tricuspid regurgitation, left ventricular hypertrophy, the pulmonary capillary wedge pressure and the right atrial pressure between the 2 groups. Result: There were no differences in age, gender, rejection, the ejection fraction, tricuspid regurgitation, left ventricular hypertrophy and the right atrial pressure between the 2 groups (p>0.05). However, a higher pulmonary capillary wedge pressure and a higher mean pulmonary atrial pressure were observed in the high BNP group (p<0.05). Further, BNP has linear correlation with the pulmonary capillary wedge pressure (r=0.590, p<0.001). Using the cut-off value of 620 pg/mL, the BNP predicted a high PCWP (>12 mmHg) with a sensitivity of 83.3% and a specificity of 91.1% (AUC: $0.900{\pm}0.045$, p<0.001). Conclusion: The BNP level after heart transplantation does not show any significant correlation with rejection, yet it might be a predictive marker of ventricular diastolic dysfunction.

Dietary Life Status of Korean Prisoners' and the Background during the Period of Japanese Ruling (일제하(日帝下)(1920년대) 조선인수형인(朝鮮人受刑人)의 식생활상황(食生活狀況)과 그 배경(背景))

  • Kim, Chon-Ho
    • Journal of the Korean Society of Food Culture
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    • v.18 no.1
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    • pp.56-68
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    • 2003
  • The objects of this study are to find out (1) real situation of the food supply in prison under Imperial Government of Japan more cleary (historical meaning) and (2) which might help in understanding wrong present food consumption patterns in Korea which causes environmental as well as health problems. It is generally known that the length of the Japanese occupation for Korea is 36 years. However, it is concluded in this study that it was longer (70 years ; from 1875 to 1945 from when Japanese Army attacked and occupied Yungjongdo and Kanghwado island to e time when they were defeated on World War II.) Korea was annexed by Japan in 1910 then the Imperial Government of Japan dismissed the Korea Army, controlled the Office of Justice and the management of prison by force. Since then about 50% of all land was fell into Japanese Government ownership and 80% of Korean farmers became as tenant. After this change, Korea farmers were forced to pay extremely high rent (up to 80% of its harvest). Forced immigration, low price procurement of grain by Japanese government up to more than 30%of their production, was practiced. Accordingly, the food situation of Korean farmers became miserable, which may caused more violations of Imperial Japanese Law. Malnutrition, epidemic diseases, mortality rate of infants soared and average life expectancy shortened to 20-30 years old. This was the period of World Economic Crises and Food Crises in Japan. It was said then that if one Japanese comes to Korea then 200 Koreans will starved to death. Meanwhile, Proconsul Bureau of Chosun requested to the Department of Medicine, the Imperial University of Kyungsung to survey food supply situation of Koreans in prison throughout Korea. Objectives of the survey then was not only to find out scientifically whether it is agreeable in maintaining prisoner's health and also find out the possibility to save food during food crisis. Survey was started from 1923 and ended in 1945, and it focussed on prisoners in the Seodaemoon Prison. This report is the outcome of the first survey. They concluded that the food supplied was nutritionally (had) no problem, in compare with those of workers in the factory, students in the dormitory in Japan and with those of prisoners in Taiwan, France and Germany. Amount of grain supplied were different according to their work lord and was divided into 9 different levels. Total grain was consisted of 50% millet, 30% soybean and 20% indica rice(variety). However, there were no difference in the amount of supply of side dishes between work groups. For the highest working group, 3280g of boiled grain per day was supplied to make stomach full but as a side dishes, salty fermented bean paste, fermented fish and salty soups, etc. was supplied. Deficiency of animal protein were observed, however, high intake of soybean may possibly caused animal protein deficiency problem. On the contrary, the intake of water soluble vitamins were insufficient but the level of calcium and iron intake seems to be sufficient, however, imbalance of intake of nutrition may caused low absorbtion rate which might caused malnutrition. High intake of dietary fiber and low intake of cholesterol may possibly prohibited them from so called modem disease but may caused the defect in disease resistancy againist epidemics and other traditional disease. Over intake of salt(20-30g per day) was observed. Surveyors who attended in this survey, mentioned that the amount of food intake may nutritionally be sufficient enough but the quality of food(and possibly, the taste of food) were like that of animal feed. For the officials who received this report might consider that considering the war situation and food crisis, the supply situation of food in the prison may considered to be good enough(because they are not starving). But as a Korean who studied this report, one feel extremely pity about those situation because (situation of) those period were very harsh under the Imperial Law and keeping the Law by Koreans were almost impossible, therefore, about one third adult violated the Law and were put into jail. And they were treated like animals.

Development of a Simultaneous Analytical Method for Determination of Trinexapac-ethyl and Trinexapac in Agricultural Products Using LC-MS/MS (LC-MS/MS를 이용한 농산물 중 식물생장조절제 Trinexapac-ethyl과 대사산물 Trinexapac의 동시분석법 개발)

  • Jang, Jin;Kim, Heejung;Ko, Ah-Young;Lee, Eun-Hyang;Ju, Yunji;Chang, Moon-Ik;Rhee, Gyu-Seek;Suh, Saejung
    • Korean Journal of Environmental Agriculture
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    • v.34 no.4
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    • pp.318-327
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    • 2015
  • BACKGROUND: Trinexapac-ethyl is a plant growth regulator (PGR) that inhibits the biosynthesis of plant growth hormone (gibberellin). It is used for the prevention of lodging, increasing yields of cereals, and reducing mowing of turf. The experiment was conducted to establish a determination method for trinexapac-ethyl and its metabolites trinexapac in agricultural products using LC-MS/MS.METHODS AND RESULTS: Trinexapac-ethyl and trinexapac were extracted from agricultural products with methanol/ distilled water and the extract was partitioned with dichloromethane and then detected by LC-MS/MS. Limit of detection(LOD) was 0.003 mg/kg and limit of quantification(LOQ) was 0.01 mg/kg, respectively. Matrix matched calibration curves were linear over the calibration ranges (0.01-1.0 mg/L) for all the analytes into blank extract withr2> 0.997. For validation purposes, recovery studies were carried out at three different concentration levels (LOQ, 10LOQ, 50LOQ,n=5). Recoveries of trinexapacethyl and trinexapac were within the range of 73.6-106.9%, 72.7-99.2%, respectively. The relative standard deviations (RSDs) were less than 9.0%. All values were consistent with the criteria ranges requested in the CODEX guideline(CAC/GL 40, 2003).CONCLUSION: The proposed analytical method was accurate, effective and sensitive for trinexapac-ethyl and trinexapac determination and it can be used to as an official method in Korea.

Monitoring of Pesticides in the Yeongsan and Seomjin River Basin (영산강 및 섬진강 수계 중 농약 분포 조사)

  • Lee, Young-Jun;Choi, Jeong-Heui;Kim, Sang Don;Jung, Hee-Jung;Lee, Hyung-Jin;Shim, Jae-Han
    • Korean Journal of Environmental Agriculture
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    • v.34 no.4
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    • pp.274-281
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    • 2015
  • BACKGROUND: A lasting release of low levels of persistence chemicals including pesticides and pharmaceuticals into river has a bad influence on aquatic ecosystems and humans. The present study monitored pesticide residues in the Yeongsan and Seomjin river basins and their tributaries as a fundamental study for water quality standard of pesticides.METHODS AND RESULTS: Nine pesticides(aldicarb, carbaryl, carbofuran, chlorpyrifos, 2,4-D, MCPA, methomyl, metolachlor, and molinate) were determined from water samples using SPE-Oasis HLB(pH 2) and LC/MS/MS. Validation of the method was conducted through matrix-matched internal calibration curve, method detection limit(MDL), limit of quantification(LOQ), accuracy, precision, and recovery. MDLs of all pesticides satisfied the GV/10 values. Linearity(r2) was 0.9965- 0.9999, and a percentage of accuracy, precision, and recovery was 89.4-113.6%, 3.1-14.0%, and 90.8-106.2%, respectively. All pesticides exclusive of aldicarb were determined in the river samples, and there was a connection between the positive monitoring results and agricultural use of the pesticides.CONCLUSION: Monitoring outcomes of the present study implied that pesticides were a possible non-point pollutant source in the Yeongsan and Seomjin river basins and tributaries. Therefore, it is required to produce and accumulate more monitoring results on pesticides in river waters to set water quality standards, finally to preserve aquatic ecosystems.