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Research on Mathematical Problem Posing: What We Know and Where We Are Going
( Jin Fa Cai ) 한국수학교육학회 2014 수학교육 학술지 Vol.2014 No.2
There is a long history of integrating mathematical problem solving into school curricula. In contrast, problem-posing research is a relatively new endeavor. Nevertheless, there have been efforts to incorporate problem posing into school mathematics at different educational levels around the world in the past two decades. These efforts indicate interest among many researchers and practitioners in making problem posing a more prominent feature of classroom instruction. In this plenary, I will present the current state of knowledge in problem-posing research and suggest some directions for future study. In particular, my discussion will be organized based on the following ten questions: (1) Why is problem posing important in school mathematics? (2) Are teachers and students capable of posing important mathematical problems? (3) Can students and teachers be effectively trained to pose high quality problems? (4) What do we know about the cognitive processes of problem posing? (5) How are problem-posing skills related to problem-solving skills? (6) Is it feasible to use problem posing as a measure of creativity and mathematical learning outcomes? (7) How are problem-posing activities included in mathematics curricula? (8) What does a classroom look like when students engage in problem-posing activities? (9) How can technology be used in problem-posing activities? (10) What do we know about the impact of engaging in problem-posing activities on student outcomes? Each of these questions represents a rich area for problem-posing research and I will summarize what we know as a field, and then point out possible future directions of research on mathematical problem posing.
Deng-xiong Li,Xiao-ming Wang,Yin Tang,Yu-bo Yang,Dechao Feng,Ao Li,Fa-cai Zhang,Yun-jin Bai,Ping Han 대한비뇨의학회 2021 Investigative and Clinical Urology Vol.62 No.6
Purpose: Many studies identified that the preoperative neutrophil-to-lymphocyte ratio (PNLR) was associated with patient prognosis in non-muscle-invasive bladder cancer (NMIBC). We hypothesized that PNLR could be prognostic in patients with histological variants of NMIBC (VH-NMIBC). Materials and Methods: This retrospective study included patients with VH-NMIBC admitted at our center between January 2009 and May 2019. The best cut-off value of NLR was measured by the receiver operating characteristic curve and Youden index. The Kaplan-Meier method and Cox proportional hazard regression models were employed to evaluate the association between PNLR and disease prognosis, including recurrence-free survival (RFS), progression-free survival (PFS), cancer-specific survival (CSS), and overall survival (OS). Results: A total of 243 patients with VH-NMIBC were enrolled in our study. According to the Kaplan-Meier method results, patients with PNLR ≥2.2 were associated with poor RFS (p<0.001), PFS (p<0.001), CSS (p<0.001), and OS (p<0.001). Multivariable analyses indicated that PNLR ≥ 2.2 was an independent prognostic factor of RFS (hazard ratio [HR], 2.11; 95% confidence interval [CI, 1.57–1.83; p<0.001), PFS (HR, 2.34; 95% CI, 1.70–3.21; p<0.001), CCS (HR, 2.87; 95% CI, 1.96–4.18; p< 0.001), and OS (HR, 2.83; 95% CI, 1.96–4.07; p<0.001). Conclusions: This study identified that PNLR ≥2.2 was usually associated with a poor prognosis for patients with VH-NMIBC.
Man Zhang,Su‑Su Li,Qiao‑Mei Xie,Jian‑Hua Xu,Xiu‑Xiu Sun,Fa‑Ming Pan,Sheng‑Qian Xu,Sheng‑Xiu Liu,Jin‑Hui Tao,Shuang Liu,Jing Cai,Pei‑Ling Chen,Long Qian,Chun‑Huai Wang,Chun‑Mei Liang,Hai‑Liang Huang,Ha 한국유전학회 2018 Genes & Genomics Vol.40 No.10
Although the current glucocorticoids (GCs) treatment for systemic lupus erythematosus (SLE) is effective to a certain extent, the difference in therapeutic effect between patients is still a widespread problem. Some patients can have repeated attacks that greatly diminish their quality of life. This study was conducted to investigate the relationship between HSP90AA2 polymorphisms and disease susceptibility, GCs efficacy and health-related quality of life (HRQoL) in Chinese SLE patients. A case–control study was performed in 470 SLE patients and 470 normal controls. Then, 444 patients in the case group were followed up for 12 weeks to observe efficacy of GCs and improvement of HRQoL. Two single nucleotide polymorphisms (SNPs) of HSP90AA2 were selected for genotyping: rs1826330 and rs6484340. HRQoL was assessed using the SF-36 questionnaire. The minor T allele of rs1826330 and the TT haplotype formed by rs1826330 and rs6484340 showed associations with decreased SLE risk (T allele: PBH = 0.022; TT haplotype: PBH = 0.033). A significant association between rs6484340 and improvement of HRQoL was revealed in the follow-up study. Five subscales of SF-36 were appeared to be influenced by rs6484340: total score of SF-36 (additive model: PBH = 0.026), physical function (additive model: PBH = 0.026), rolephysical (recessive model: PBH = 0.041), mental health (dominant model: PBH = 0.047), and physical component summary (additive model: PBH = 0.026). No statistical significance was found between HSP90AA2 gene polymorphisms and GCs efficacy. These results revealed a genetic association between HSP90AA2 and SLE. Remarkably, HSP90AA2 has an impact on the improvement of HRQoL in Chinese population with SLE.