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We report a characterization of the reflections made by high school mathematics teachers when discussing their resolutions of three numerical tasks related to the concept of function understood as a mathematical procept. Thematic analysis was used to code and categorize the reflections. Six teachers with at least 5 years of professional experience and an average age of 30 years participated. The results show that the teachers reflected on their actions in the tasks; their content knowledge; their teaching practice; and their professional training. As a result of these reflections, they recognized the need to improve their knowledge and practice of teaching functions in a more proceptual sense. The results contribute to deepen in how to make teachers reflect and incorporate a much more structural vision of functions in their teaching practices and, at the same time, incorporate the importance and role of their professional training in their reflections.

Inductive reasoning is an essential tool for teaching mathematics to generate knowledge, solve problems, and make generalizations. However, little research has been done on inductive reasoning as it applies to teaching mathematical concepts in secondary school. Therefore, the study explores secondary school teachers' perceptions of inductive reasoning and interprets this mathematical reasoning type in teaching the quadratic equation. The data were collected from a questionnaire administered to 22 teachers and an interview conducted to expand their answers. Through the thematic analysis method, it was found that more than half the teachers perceived inductive reasoning as a process for moving from the particular to the general and as a way to acquire mathematical knowledge through questioning. Because teachers have little clarity about inductive phases and processes, they expressed confusion about teaching the quadratic equation inductively. Results indicate that secondary school teachers need professional learning experiences geared towards using inductive reasoning processes and tasks to form concepts and generalizations in mathematics.

Problem-based learning is one of the most useful resources in education with the potential to effect real world change. The evident benefits of PBL in the face of the challenges that Latin America presently encounters have led many institutions to consider the adoption of PBL curricula. However, PBL implementation has its own set of difficulties. "I liked to work in a multidisciplinary team because our skills were complemented. Sometimes, it was difficult to understand our different ways of working, because we were focused on different things", said one of the students of our institution. This paper describes how different academic programs from the Autonomous University of Nuevo Leon (UANL) in Mexico, were integrated in a Learning Unit (LU) using the Problem Based Learning (PBL) methodology. First, we present some PBL definitions to delineate its main characteristics, like the students facing real problems. Afterwards, we describe the PBL implementation process at our university, its precedents, the administrative process, and the adaptation into an existing LU. Additionally, we describe how we adapted the PBL methodology to the Sustainable Ecological Environments course while also integrating the United Nations' (UN) Sustainable Development Goal (SDG) 11, dedicated to cities and sustainable communities. Finally, we mention some findings from the Sustainable Ecological Environments LU. Most notably, the students favour working in multidisciplinary teams and the amount of student investment was higher than in traditionally taught courses. Nevertheless, multidisciplinary work means a constructive challenge for teachers, because it involves a closer monitoring of the student's learning process and a different time distribution than traditional courses, with a higher time investment during planning stages.

This paper reports on the characterization of the inductive reasoning used by middle school mathematics teachers to solve a task of generalization of a quadratic pattern. The data was collected from individual interviews and the written answers to the generalization task. The analysis was based on the representations and justifications used to move from particular cases to the formulation of the general rule. Three processes characterize the inductive reasoning of the mathematics teachers to obtain a general rule: observation of regularities, establishment of a pattern and formulation of a generalization; while some teachers revealed problems in moving from the observation of regularities to the formulation of a generalization. Therefore, some difficulties in generalizing associated with these processes are also mentioned.

This paper presents a robot prototype for an undergraduate laboratory program designed to fulfill the criteria laid out by ABET. The main objective of the program is for students to learn some basic concepts of embedded systems and robotics, and apply them in practice. For that purpose, various practical laboratory exercises were prepared to teach different aspects of communications, control, mechatronics, and microcontrollers. The practicals are organized such that the students can systematically solve real-world problems. The most important feature of the presented program is that, it incorporates interdisciplinary knowledge, and inculcates technical and professional skills required in pursuing a successful career. Furthermore, students and instructors can modify the software and hardware units of the robot prototype as necessary, to explore more ideas and to apply the robot in other mechatronics-related courses. A digital electronics course taught at the Automation Department at Universidad Autónoma de Querétaro, Querétaro, Mexico, is presented as a case study in which the evaluation process was based on ABET criteria and the corresponding student outcomes. A student survey elicited students' observations of, and interest in, the learning process. The positive student feedback and student academic outcomes indicate that the inclusion of prototype had a significant impact on student academic outcomes.

Mexican goat production systems face infection risks from Brucella melitensis, small ruminant lentivirus (SRLv) and Mycobacterium avium subsp. paratuberculosis (MAP); agents that cause great economic losses and directly affect public health (brucellosis and paratuberculosis [PTb]). Currently, there are no diagnostic tests applicable at large scale nor epidemiological information regarding the seroprevalence for these infectious diseases. For this study, a multiplex antibody assay (Luminex®) was used to retrospectively study the seroprevalence of brucellosis, SRLv, and PTb in the sera of 983 goats from nine Mexican states. Sera were obtained between 2014 and 2019. Antibodies against all three infectious diseases were detected in almost all tested samples. The estimated seroprevalence values ranged from 37% to 78% for brucellosis, 21% to 65% for SRLv, and 0% to 13% for PTb. The multiplex assay (Luminex®) is a simple, accessible, efficient, and cost-effective seroprevalence monitoring tool for brucellosis, SRLv, and PTb, and can be used as a largescale approach. [ABSTRACT FROM AUTHOR]

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Familial hypercholesterolemia (FH) remains underdiagnosed and undertreated. Report the results of the first years (2017-2019) of the Mexican FH registry. There are 60 investigators, representing 28 federal states, participating in the registry. The variables included are in accordance with the European Atherosclerosis Society (EAS) FH recommendations. To date, 709 patients have been registered, only 336 patients with complete data fields are presented. The mean age is 50 (36-62) years and the average time since diagnosis is 4 (IQR: 2-16) years. Genetic testing is recorded in 26.9%. Tendon xanthomas are present in 43.2%. The prevalence of type 2 diabetes is 11.3% and that of premature CAD is 9.8%. Index cases, male gender, hypertension and smoking were associated with premature CAD. The median lipoprotein (a) level is 30.5 (IQR 10.8-80.7) mg/dl. Statins and co-administration with ezetimibe were recorded in 88.1% and 35.7% respectively. A combined treatment target (50% reduction in LDL-C and an LDL-C <100 mg/dl) was achieved by 13.7%. Associated factors were index case (OR 3.6, 95%CI 1.69-8.73, P =.002), combination therapy (OR 2.4, 95%CI 1.23-4.90, P =.011), type 2 diabetes (OR 2.8, 95%CI 1.03-7.59, P =.036) and age (OR 1.023, 95%CI 1.01-1.05, P =.033). The results confirm late diagnosis, a lower than expected prevalence and risk of ASCVD, a higher than expected prevalence of type 2 diabetes and undertreatment, with relatively few patients reaching goals. Recommendations include, the use of combination lipid lowering therapy, control of comorbid conditions and more frequent genetic testing in the future. • Familial hypercholesterolemia remains underdiagnosed and undertreated in Mexico. • We present the results of the Mexican Familial Hypercholesterolemia Registry. • Over 60 investigators in 28 federal states participated in the registry. • We discuss the findings and challenges to overcome in this population. [ABSTRACT FROM AUTHOR]

INTRODUCTION The consequences of de novo balanced structural chromosome aberrations diagnosed antenatally are unpredictable, and, as a result, they introduce uncertainty into genetic counseling decisions. OBJECTIVE Describe de novo balanced structural aberrations present at antenatal diagnosis in samples from pregnant women in five Latin American countries and determine their effect on carrier individuals. METHODS This was a retrospective observational study based on analysis of 109,011 antenatal tests conducted from January 1981 to December 2016 in Cuba, Uruguay, Costa Rica, Mexico, and Colombia. Thirteen cytogenetic laboratories provided information that included the cases analyzed during the study period; number of de novo balanced structural aberrations diagnosed antenatally; number of diagnoses with de novo balanced structural aberrations that resulted in termination of pregnancy; detailed descriptions of the karyotypes of de novo balanced structural aberration carriers, and descriptions of the form of diagnosis, including types of samples used (amniotic fluid, chorionic villus or fetal blood). Each laboratory also provided pathology reports and genetic counseling at time of diagnosis. Postnatal followup for pregnancies carried to term continued for at least two years. RESULTS Of the 109,011 antenatal tests studied, 72 (0.07%) showed de novo balanced structural aberrations. These events primarily involved chromosomes 1, 2, 7, 14, 18, and 20. Of the 79 breakpoints identified, the most common were 5p15.3, 7q11.2, 7q22, and 14q24. We identified three breakpoints corresponding to 3.8% (3q13.1, 3q13.2, and 9p12) that were not reported in other studies of de novo balanced structural aberrations diagnosed antenatally in patients from other geographic regions or in studies of chromosomal fragile sites. Two of these breakpoints (3q13.1 and 3q13.2) were associated with high risk of phenotypic abnormalities. Information on antenatal or postnatal followup was available for 62 (86%) of de novo balanced structural aberration carriers; of the 44 carriers with postnatal followup, 10 had phenotypic abnormalities. CONCLUSIONS Three new de novo breakpoints were identified, presumably related to genetic admixture characteristics in Latin America. Since some diseases associated with de novo balanced structural aberrations detected antenatally have a late onset, followup for at least two years is recommended for carriers of these aberrations. The information in this study is useful in genetic counseling for pregnant women in Latin America. [ABSTRACT FROM AUTHOR]

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Copyright of Universidad & Ciencia is the property of Universidad Juarez Autonoma de Tabasco and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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Copyright of Estudios Sociológicos is the property of El Colegio de Mexico AC and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)