TY - JOUR A1 - Greefrath, Gilbert A1 - Oldenburg, Reinhard A1 - Siller, Hans-Stefan A1 - Ulm, Volker A1 - Weigand, Hans-Georg T1 - Mathematics students’ characteristics of basic mental models of the derivative JF - Journal für Mathematik-Didaktik N2 - The concept of derivative is characterised with reference to four basic mental models. These are described as theoretical constructs based on theoretical considerations. The four basic mental models—local rate of change, tangent slope, local linearity and amplification factor—are not only quantified empirically but are also validated. To this end, a test instrument for measuring students’ characteristics of basic mental models is presented and analysed regarding quality criteria. Mathematics students (n = 266) were tested with this instrument. The test results show that the four basic mental models of the derivative can be reconstructed among the students with different characteristics. The tangent slope has the highest agreement values across all tasks. The agreement on explanations based on the basic mental model of rate of change is not as strongly established among students as one would expect due to framework settings in the school system by means of curricula and educational standards. The basic mental model of local linearity plays a rather subordinate role. The amplification factor achieves the lowest agreement values. In addition, cluster analysis was conducted to identify different subgroups of the student population. Moreover, the test results can be attributed to characteristics of the task types as well as to the students’ previous experiences from mathematics classes by means of qualitative interpretation. These and other results of students’ basic mental models of the derivative are presented and discussed in detail. N2 - Der Begriff der Ableitung wird anhand von vier Grundvorstellungen charakterisiert. Diese werden als theoretische Konstrukte beschrieben, die auf theoretischen Überlegungen beruhen. Die vier Grundvorstellungen – lokale Änderungsrate, Tangentensteigung, lokale Linearität und Verstärkungsfaktor – werden empirisch quantifiziert und validiert. Zu diesem Zweck wird ein Testinstrument zur Messung der Charakteristika dieser Grundvorstellungen von Lernenden erstellt, bzgl. Gütekriterien ausgewertet und an Mathematikstudierenden (n = 266) getestet. Die Ergebnisse zeigen, dass die vier Grundvorstellungen der Ableitung bei den Lernenden mit unterschiedlichen Merkmalen rekonstruiert werden können. Die Tangentensteigung weist über alle Aufgaben hinweg die höchsten Übereinstimmungswerte auf. Die Übereinstimmung bei Erklärungen, die auf der Grundvorstellung der lokalen Änderungsrate beruhen, ist bei den Studierenden nicht so stark ausgeprägt, wie man es aufgrund der Rahmenbedingungen im Schulsystem durch Lehrpläne und Bildungsstandards erwarten würde. Die Grundvorstellung der lokalen Linearität spielt eine eher untergeordnete Rolle. Der Verstärkungsfaktor erzielt die geringsten Übereinstimmungswerte. Darüber hinaus wurde eine Clusteranalyse durchgeführt, um verschiedene Untergruppen der Schülerpopulation zu identifizieren. Die Testergebnisse können mittels qualitativer Interpretation auf Merkmale der Aufgabentypen sowie auf die Vorerfahrungen der Studierenden aus dem Mathematikunterricht zurückgeführt werden. Diese und weitere Ergebnisse zu den grundlegenden mentalen Modellen der Studierenden zur Ableitung werden ausführlich dargestellt und diskutiert. KW - derivative KW - basic mental models KW - structure KW - test instrument KW - Ableitung KW - Grundvorstellung KW - Struktur KW - Testinstrument Y1 - 2023 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-324317 SN - 0173-5322 VL - 44 IS - 1 ER - TY - JOUR A1 - Guth, Sabine A1 - Hüser, Stephanie A1 - Roth, Angelika A1 - Degen, Gisela A1 - Diel, Patrick A1 - Edlund, Karolina A1 - Eisenbrand, Gerhard A1 - Engel, Karl-Heinz A1 - Epe, Bernd A1 - Grune, Tilman A1 - Heinz, Volker A1 - Henle, Thomas A1 - Humpf, Hans-Ulrich A1 - Jäger, Henry A1 - Joost, Hans-Georg A1 - Kulling, Sabine E. A1 - Lampen, Alfonso A1 - Mally, Angela A1 - Marchan, Rosemarie A1 - Marko, Doris A1 - Mühle, Eva A1 - Nitsche, Michael A. A1 - Röhrdanz, Elke A1 - Stadler, Richard A1 - van Thriel, Christoph A1 - Vieths, Stefan A1 - Vogel, Rudi F. A1 - Wascher, Edmund A1 - Watzl, Carsten A1 - Nöthlings, Ute A1 - Hengstler, Jan G. T1 - Contribution to the ongoing discussion on fluoride toxicity JF - Archives of Toxicology N2 - Since the addition of fluoride to drinking water in the 1940s, there have been frequent and sometimes heated discussions regarding its benefits and risks. In a recently published review, we addressed the question if current exposure levels in Europe represent a risk to human health. This review was discussed in an editorial asking why we did not calculate benchmark doses (BMD) of fluoride neurotoxicity for humans. Here, we address the question, why it is problematic to calculate BMDs based on the currently available data. Briefly, the conclusions of the available studies are not homogeneous, reporting negative as well as positive results; moreover, the positive studies lack control of confounding factors such as the influence of well-known neurotoxicants. We also discuss the limitations of several further epidemiological studies that did not meet the inclusion criteria of our review. Finally, it is important to not only focus on epidemiological studies. Rather, risk analysis should consider all available data, including epidemiological, animal, as well as in vitro studies. Despite remaining uncertainties, the totality of evidence does not support the notion that fluoride should be considered a human developmental neurotoxicant at current exposure levels in European countries. KW - pharmacology/toxicology KW - occupational medicine/industrial medicine KW - environmental health KW - biomedicine, general Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-307161 SN - 0340-5761 SN - 1432-0738 VL - 95 IS - 7 ER - TY - JOUR A1 - Pilgram, Lisa A1 - Eberwein, Lukas A1 - Wille, Kai A1 - Koehler, Felix C. A1 - Stecher, Melanie A1 - Rieg, Siegbert A1 - Kielstein, Jan T. A1 - Jakob, Carolin E. M. A1 - Rüthrich, Maria A1 - Burst, Volker A1 - Prasser, Fabian A1 - Borgmann, Stefan A1 - Müller, Roman-Ulrich A1 - Lanznaster, Julia A1 - Isberner, Nora A1 - Tometten, Lukas A1 - Dolff, Sebastian T1 - Clinical course and predictive risk factors for fatal outcome of SARS-CoV-2 infection in patients with chronic kidney disease JF - Infection N2 - Purpose The ongoing pandemic caused by the novel severe acute respiratory coronavirus 2 (SARS-CoV-2) has stressed health systems worldwide. Patients with chronic kidney disease (CKD) seem to be more prone to a severe course of coronavirus disease (COVID-19) due to comorbidities and an altered immune system. The study’s aim was to identify factors predicting mortality among SARS-CoV-2-infected patients with CKD. Methods We analyzed 2817 SARS-CoV-2-infected patients enrolled in the Lean European Open Survey on SARS-CoV-2-infected patients and identified 426 patients with pre-existing CKD. Group comparisons were performed via Chi-squared test. Using univariate and multivariable logistic regression, predictive factors for mortality were identified. Results Comparative analyses to patients without CKD revealed a higher mortality (140/426, 32.9% versus 354/2391, 14.8%). Higher age could be confirmed as a demographic predictor for mortality in CKD patients (> 85 years compared to 15–65 years, adjusted odds ratio (aOR) 6.49, 95% CI 1.27–33.20, p = 0.025). We further identified markedly elevated lactate dehydrogenase (> 2 × upper limit of normal, aOR 23.21, 95% CI 3.66–147.11, p < 0.001), thrombocytopenia (< 120,000/µl, aOR 11.66, 95% CI 2.49–54.70, p = 0.002), anemia (Hb < 10 g/dl, aOR 3.21, 95% CI 1.17–8.82, p = 0.024), and C-reactive protein (≥ 30 mg/l, aOR 3.44, 95% CI 1.13–10.45, p = 0.029) as predictors, while renal replacement therapy was not related to mortality (aOR 1.15, 95% CI 0.68–1.93, p = 0.611). Conclusion The identified predictors include routinely measured and universally available parameters. Their assessment might facilitate risk stratification in this highly vulnerable cohort as early as at initial medical evaluation for SARS-CoV-2. KW - chronic kidney disease KW - COVID-19 KW - LEOSS KW - predictive factor KW - SARS-CoV-2 Y1 - 2021 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-308957 SN - 0300-8126 SN - 1439-0973 VL - 49 IS - 4 ER - TY - JOUR A1 - Knödler, Maren A1 - Körfer, Justus A1 - Kunzmann, Volker A1 - Trojan, Jörg A1 - Daum, Severin A1 - Schenk, Michael A1 - Kullmann, Frank A1 - Schroll, Sebastian A1 - Behringer, Dirk A1 - Stahl, Michael A1 - Al-Batran, Salah-Eddin A1 - Hacker, Ulrich A1 - Ibach, Stefan A1 - Lindhofer, Horst A1 - Lordick, Florian T1 - Randomised phase II trial to investigate catumaxomab (anti-EpCAM × anti-CD3) for treatment of peritoneal carcinomatosis in patients with gastric cancer JF - British Journal of Cancer N2 - Background Peritoneal carcinomatosis (PC) represents an unfavourable prognostic factor for patients with gastric cancer (GC). Intraperitoneal treatment with the bispecific and trifunctional antibody catumaxomab (EpCAM, CD3), in addition to systemic chemotherapy, could improve elimination of PC. Methods This prospective, randomised, phase II study investigated the efficacy of catumaxomab followed by chemotherapy (arm A, 5-fluorouracil, leucovorin, oxaliplatin, docetaxel, FLOT) or FLOT alone (arm B) in patients with GC and PC. Primary endpoint was the rate of macroscopic complete remission (mCR) of PC at the time of second diagnostic laparoscopy/laparotomy prior to optional surgery. Results Median follow-up was 52 months. Out of 35 patients screened, 15 were allocated to arm A and 16 to arm B. mCR rate was 27% in arm A and 19% in arm B (p = 0.69). Severe side effects associated with catumaxomab were nausea, infection, abdominal pain, and elevated liver enzymes. Median progression-free (6.7 vs. 5.4 months, p = 0.71) and overall survival (13.2 vs. 13.0 months, p = 0.97) were not significantly different in both treatment arms. Conclusions Addition of catumaxomab to systemic chemotherapy was feasible and tolerable in advanced GC. Although the primary endpoint could not be demonstrated, results are promising for future investigations integrating intraperitoneal immunotherapy into a multimodal treatment strategy. KW - cancer immunotherapy KW - gastric cancer Y1 - 2018 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:bvb:20-opus-325938 VL - 119 ER -