• The Mathematical Education
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• v.48 no.1
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• pp.81-91
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• 2009

This paper focuses on two problems in the 10th grade mathematics, the rational zero theorem and the content(the integer divisor) of a polynomial Among 138 students participated in the problem solving, 58 of them (42 %) has used the rational zero theorem for the factorization of polynomials. However, 30 of 58 students (52 %) consider the rational zero theorem is a mathematical fake(false statement) and they only use it to get a correct answer. There are three different types in the textbooks in dealing with the content of a polynomial with integer coefficients. Computing the greatest common divisor of polynomials, some textbooks consider the content of polynomials, some do not and others suggest both methods. This also makes students confused. We suggests that a separate section of the rational zero theorem must be included in the text. As for the content of a polynomial, we consider the polynomials are contained in the polynomial ring over the rational numbers. So computing the gcd of polynomials, guide the students to give a monic(or primitive) polynomial as ail answer.

• Clinics in Shoulder and Elbow
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• v.13 no.1
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• pp.146-152
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• 2010

Purpose: The purpose of this article was to review the effectiveness of arthroscopic debridement and tuberoplasty, and to evaluate the clinical and radiologic results of our series for irreparable massive rotator cuff tears in the elderly. Materials and Methods: We reviewed articles that focused on the treatment options and decision making for irreparable massive rotator cuff tears. In particular, we summarized the reported results of arthroscopic debridement and tuberoplasty for irreparable massive rotator cuff tears in the elderly. Among consecutive patients who had arthroscopic tuberoplasty for irreparable massive rotator cuff tears in our series, thirty-two patients available for clinical and radiological evaluation at a mean follow-up of 29 months (range, 13-52 months) were enrolled and reviewed for the analysis. Results: At the last follow-up, the range of active forward flexion increased significantly with excellent pain relief and improvement in the ability to perform the activities of daily living. However, the group with less than 2 mm in preoperative acromiohumeral distance showed inferior postoperative results. Conclusion: Arthroscopic tuberoplasty may be an alternative option in irreparable massive rotator cuff tears for pain relief and improvement of range of motion. However, good results can not be expected if the acromiohumeral distance is less than 2 mm preoperatively and decreases postoperatively, or when the preoperative range of motion is less than $90^{\circ}$ on flexion and abduction.

• Journal of Gastric Cancer
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• v.8 no.1
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• pp.40-46
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• 2008

Purpose: We wanted to evaluate the efficacy and toxicity of modified FOLFOX-6 chemotherapy for treating recurrent or inoperable gastric cancer patients. Materials and Methods: From April 2006 to August 2007, 35 patients with recurrent gastric cancer after curative resection and 43 patients with inoperable gastric cancer underwent chemotherapy, and the results were retrospectively investigated. Results: 78 patients were assessable for response and toxicity, and they underwent an average of 7.1 cycles of chemotherapy. The response was evaluated according to the RECIST criteria. 11 partial responses (14.1%), 35 cases of stable disease (44.9%), and 32 cases of progressive disease (41%) were observed. The median time to progression was 6 months, and the average overall survival was 13 months. CTCAE grade 1 or 2 anemia (52.6%) was the most prevalent toxicity. Other common toxicities included thrombocytopenia (17.9%) and peripheral neuropathy (30.8%). There were 13 changes in the chemotherapy regimen to S1-cisplatin due to disease progression, but only an average of 1.76 cycles of S1-cisplatin were delivered due to severe toxicities and poor compliance. Conclusion: Acceptable efficacy and toxicity were seen as 59% of the patients showed non-progression, and no grade 3 or 4 toxicities were observed. In conclusion, the modified FOLFOX-6 chemotherapy is considered to be the proper 1st-line choice as a palliative treatment for recurrent or inoperable gastric cancer patients.