# PDF superior A Teaching proposal for the study of eigenvectors and eigenvalues

### A Teaching proposal for the study of eigenvectors and eigenvalues

Therefore, with the help of the GeoGebra software, the numerical calculations in the symbolic world are replaced by a geometrical interpretation of the problem in the embodied world of mathematics. Later, the professor asks the students the following question: “What particularity do the vectors that give the directions of minimum and maximum moments of inertia have?". Making use of the dragging mode, it is shown that unitary vectors are mapped drawing an ellipse and that the maximum and the minimum M are attained when the unitary vectors coincide with the directional vectors of the axes of the ellipse. Moreover, these vectors v maintain the same direction as Av, with α = 0, and the moments of inertia associated to them are equal to ‖Av ‖ . At this point, the instructor gives the formal definition of an eigenvector and an eigenvalue:
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14 Lee mas

### The plurilingual competence in language teaching: analysis of a proposal of intervention for bachillerato

The activity of the sightseeing tour was one of the most useful to make students reflect on the value of learning communities, the cooperative work and their autonomy. On the other hand, the ORDEN EDU/363/2015, de 4 de mayo, por la que se establece el currículo y se regula la implantación, evaluación y desarrollo del bachillerato en la Comunidad de Castilla y León (BOCyL Núm. 86., 8 de mayo de 2015, pp. 32785 - 32794) establishes within the methodological principles of the stage, the development of the communicative ability of the student through presentations, or oral expositions as means of managing the information. This objective was widely promoted during the six days that comprised the intervention. Through this activity, students reinforced the competence in managing linguistic and cultural communication in a context of otherness in general, and the four in which it is divided as well.
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148 Lee mas

### The Impact of Reciprocal Teaching to Foster Reading Comprehension Skills and autonomy in EFL Learners

This qualitative report is based on an action research project conducted in a public school in Bogotá, Colombia with seventh grade students. The purpose of the study was to determine the impact of reciprocal teaching with regards to learner autonomy and reading skills being Reciprocal teaching an instructional technique aimed at promoting reading comprehension abilities in struggling students through the practice of four strategies (predicting, questioning, clarifying, and summarizing) in students’ table groups. Data collection techniques included questionnaires, interviews, students’ logs, and journals for teacher’s reflection. The results showed that these learners acquired some autonomy in certain activities inside the classroom. Additionally, the training on teaching strategies allowed them to succeed in their reading comprehension. The results permitted the researcher to observe and collect more specific information for this study and for further research on this topic.
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133 Lee mas

### Causes and Effects of the Division Algorithm Applied in Ecuadorian Education

The objective of this research was to analyze the causes and consequences of the systematic process of teaching and learning of the division of whole numbers, a study aimed at students and teachers of the 3rd and 4th level of basic education. For its development the qualitative paradigm was used through the modality of field research. As informants, twenty (20) students and two (2) teachers participated. All participants are enrolled in the 3rd and 4th level of the Giordano Bruno School located in the city of Quito, Ecuador. To collect the information, the observation technique and the semi-structured interview were used, and the instruments were subjected to a validity process, where the triangulation was applied. The results were analyzed to give an answer to the proposed objective of the manuscript, where the teaching-learning method applied to the students is presented as a critical-constructivist model, but in reality, a mechanic-academicist education system is used. It was evidenced that teachers shorten the logical processes of the division of whole numbers, by the time-space factor.
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14 Lee mas

### A Conceptual Model for the Multidimensional Study of Spirituality/Religiosity. A proposal for the study of Faith on Ethical Decision Making

However, the first revision (i.e. Ford and Richardson, 1994) reported 2 (of 3) studies that were not significant influencers of EDM. On O’Fallon and Butterfiel (2005) revision, 3 of 10 studies were not significant findings. Of the 24 total findings on Lehnert et al. (2014) in the spirituality/religiosity category, 14 produced significant results, 13 findings supported a positive relationship between religion and ethical decision making, while one reported a negative relationship. These authors states that because of this inconsistence “it is not enough to simply speak to religiosity, but the role of spirituality as well as looking at comparisons of different religious viewpoints” 9). They also state that “understanding the role and importance of particular religious and spiritual values is necessary within the framework of a greater ethical decision” (9). Because of this perceptions, the inclusion of both spirituality and religiosity is needed to understand better this factor on EDM. According to these authors, spirituality/religiosity on EDM have been studied in a non inclusive way. This work propose a conceptual model identifying related stages, dimensions and factors of Faith in the workplace that eventually will support future multidimensional faith studies on EDM.
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47 Lee mas

### Desarrollo de un Software para Determinar Perturbaciones en el Balance cido Base en Sangre Humana

In intensive care units, one of the most frequent emergencies occurring in patients in critical condition is acid-base imbalance. The ability to proficiently manage such patients is achieved through many years of hospital practice. The correct quantification of such imbalances allows for the detection of complex alterations. Although this area is fundamental for the clinical management of many patients, non- specialist doctors rarely receive the appropriate training. In addition, the learning required to master this area is difficult for doctors due to the level of mathematics involved. There are two online support programs available on the internet for determining blood pH based on the Stewart Model, along with a spreadsheet for the patient’s collected data. Generally, the calculation of hydrogen ion concentration [H + ] uses a table of equivalences between pH y [H + ] for discontinuous values of pH, with the Davenport diagram used manually. However, none of these programs unite the methods of classic calculus, chemistry and physicochemistry. This study develops software for the teaching and calculation of acid-base imbalance that combines all the relevant methods, such as the Henderson-Hasselbalch equation, the Siggard- Anderson modified excess base equation, the anion gap calculation, the computational implementation of the Davenport diagram, the calculus of [H + ] for any value of pH, the calculus for the compensatory
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18 Lee mas

### OER as a Model for Enhanced Teaching and Learning

This article presents key findings from research by the Institute for the Study of Knowledge Management in Education (ISKME) that examines the use of OER in transforming pedagogy. The point of departure for the study is that OER, as digital and dynamic resources, have the potential to enhance teaching and learning practices by facilitating communities of teachers who collaborate, share, discuss, critique, use, reuse and continuously improve educational content and practice (Petrides & Jimes, 2006; Frydenberg & Matkin, 2007; Geser, 2007; Petrides et al., 2008; Casserly & Smith, 2009). Additionally, the study draws on conceptualizations of school change and reform presented by education scholars including Grubb and Tredway (2010). Grubb and Tredway argue for the importance of more participatory, teacher-generated professional development in assessing and improving teaching practice—wherein teachers make meaning for themselves and each other as they participate in interactive problem solving about teaching practice. Through analysis of data collected on teachers participating in an OER training network, this article explores the role that OER—as a potential support teacher knowledge sharing and engagement—plays in teacher professional development, meaning making and interactive problem solving about teaching practice.
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10 Lee mas

### Development of a Software to Determine Disturbances in the Acid-Base Balance in Human Blood

In intensive care units, one of the most frequent emergencies occurring in patients in critical condition is acid-base imbalance. The ability to proficiently manage such patients is achieved through many years of hospital practice. The correct quantification of such imbalances allows for the detection of complex alterations. Although this area is fundamental for the clinical management of many patients, non- specialist doctors rarely receive the appropriate training. In addition, the learning required to master this area is difficult for doctors due to the level of mathematics involved. There are two online support programs available on the internet for determining blood pH based on the Stewart Model, along with a spreadsheet for the patient’s collected data. Generally, the calculation of hydrogen ion concentration [H + ] uses a table of equivalences between pH y [H + ] for discontinuous values of pH, with the Davenport diagram used manually. However, none of these programs unite the methods of classic calculus, chemistry and physicochemistry. This study develops software for the teaching and calculation of acid-base imbalance that combines all the relevant methods, such as the Henderson-Hasselbalch equation, the Siggard- Anderson modified excess base equation, the anion gap calculation, the computational implementation of the Davenport diagram, the calculus of [H + ] for any value of pH, the calculus for the compensatory
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18 Lee mas

### A critical analysis of the vocabulary in L2 spanish textbooks

The findings of this study have significant pedagogical implications, so that specific teaching materials, such as TBs for the teaching of L2 Spanish, may actually become more effective tools. First, vocabulary selection criteria should be made explicit to avoid unsys- tematic or pedagogically useless choices. Second, in the organization of the new target items thematic groups merit a more relevant role, while semantic sets are recommended at the recycling stage (Nation, 1990). Third, a more balanced number of controlled versus com- municative activities is desirable, so that L2 learners may learn vocabulary in a less artificial manner, namely, through input and output activities that are more sustained and meaningful to them. Fourth, TB writers are advised to regularly revisit vocabulary items at all levels of proficiency. Several encounters with the same item will not only help secure vocabulary knowledge in the learners’ memory, so that lexical items may be accessed automatically, but also introduce additional features of the same word (e.g., lexical collocations). Lastly, learner autonomy should be promoted through the inclusion of L1 glossaries as well as sec- tions that provide students with effective vocabulary learning strategies.
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19 Lee mas

### The didactic use of the BBC's tv series. Sherlock for teaching English as a foreing language

First Foreign Language: English this group has on Wednesday afternoons, since they belong to a bilingual section. We are going to use the BBC’s TV series Sherlock since it adapts the famous short stories of Sir Arthur Conan Doyle in a contemporary and very solvent way. I consider that Sherlock is a TV series suitable for students of English with a medium-high level. The vocabulary level sometimes is complex but thanks to the context, students can understand the meaning. Normally, students are more used to watching American TV series and with Sherlock, students will be able to get in touch with British English since the actors have very good diction and speak a very good “London English”. The proposal is composed of 6 sessions of 100 minutes each, at the
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76 Lee mas

### From communication to collaboration in TEFL: Groupwork task proposal for the teaching of Business English

Issues on groupwork were researched for the first time back in the 1960s (Falchikov 2001: 67). Surprisingly enough, half a century later, we find very few instances of groupworking in most of Spanish public universities. The reason for this groupwork shortage can be found in earlier stages, since Spanish university students come from a strong individual working tradition. Even the physical arrangement in primary school classes is not prepared to carry out these types of activities, since students sit all in parallel rows. Once they become university students, they also find their desks in rows fixed to the classroom floor so that nobody can move them. The learning environment and infrastructure predispose to master classes, where students interventions (and especially peer co-operation) is a difficult task. Spanish learners simply cannot share their work because they are not used to do that while learning.
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19 Lee mas

### The use of the fluorescente for the study of the water quality

A working group headed by the Polytechnic University of Madrid, and through the University of Santiago de Compostela, presented a proposal to study the viability of an airborne instru[r]

### The use of supplementary materials in EFL classes: A comparative analysis of public and private high schools.

The proper use of supplementary material makes classes more interesting and motivating for students, that is why it is very important to conduct an extensive study about them. This research is based on the use of supplementary materials in EFL classes: A comparative analysis of public and private high schools. The most important concepts that will be found in this project are: teaching English as a foreign language, learning differences among children, adolescents and adults, learner’s motivation, learning styles, teaching techniques to teach adolescents, English teaching context, supplementary materials, types of supplementary materials, and previous studies about the main topic. In order to ground this investigation in theory, some basic concepts related to researched topic are presented:
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102 Lee mas

### Teaching proposal for a foreign language through the use of audiovisuals: Inside out and emotional education in English

For this project, I have chosen the model proposed by Salovey and Mayer, included in the scientific article entitled Emotional Intelligence (1990, p. 185-211) and later divulged by David Goleman in his book of the same title (1995, p. 31-32). I personally consider this model to be the most complete, hence the reason why I chose it. According to these authors, emotional intelligence is "the ability to manage feelings and emotions, discriminate between them and utilise the resulting information to direct thoughts and actions 3 ". That is to say, it is a set of abilities that we implement to express and control our emotional feelings in the most adequate way.
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64 Lee mas

### Teacher knowledge and classroom practice: examining the connection

The case study findings reported here are from two observations (one each for Elina and Keoni) done on a single day late in the fall of the second year. The observation from this day was very representative of all of our observations of them, and the results we report could easily have come from other observations. An additional statistic that should be reported is the number of mathematical er- rors made while teaching (an error was coded as a mathematically incorrect statement made to the class). Overall, Keoni coded an average of 2.6 mathemati- cal errors per class, while Elina made 1.4 errors. As was their usual schedule, Elina and Keoni had met daily during their planning time to jointly discuss and plan instruction. We will restrict our discussion to the explication of one activity for each teacher. In Elina’s case we will examine the focus problem she did at the beginning of the class. With Keoni, we will look at the discussion of a homework problem from the previous day that was reviewed in class.
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11 Lee mas

### Isoperimetric Inequalities for the eigenvalues of the Laplacian and the Schrödinger operators

see also the essay [16] for a panorama on the subject of Isoperimetry). The eigen- values of the Laplacian are “geometric objects” in the sense they do depend on the geometry of the underlying domain, and to some extent (see Section 2) the knowledge of the domain characterizes the geometry of the domain. Therefore it is natural to pose the problem of finding isoperimetric inequalities for the eigenvalues of the Laplacian. The first one to consider this possibility was Lord Rayleigh in his monograph The Theory of Sound [89]. In these lectures we will present some of the problems arising in the study of isoperimetric inequalities for the Laplacian, some of the tools needed in their proof and many bibliographic discussions about the subject. We start our review with the classical problem of Mark Kac, Can one hear the shape of a drum. In section 3 we review the definitions and basic facts about rearrangements of functions. Section 4 is devoted to the Rayleigh–Faber–Krahn inequality. In Section 5 we review the Szeg¨ o–Weinberger inequality, which is an isoperimetric inequality for the first nontrivial Neumann eigenvalue of the Lapla- cian. In Section 6 we review the Payne–P´ olya–Weinberger isoperimetric inequality for the quotient of the first two Dirichlet eigenvalues of the Laplacian, as well as several recent extensions. In section 7, we review the “Fundamental Gap Formula” between the lowest two Dirichlet eigenvalues for a bounded, convex domain in R N , which was recently proved by Andrews and Clutterback [1]. In section 8, we review an interesting conjectured isoperimetric property for ovals in the plane, which arises in connection with the Lieb–Thirring inequalities. Finally, in section 9 we review three different isoperimetric problems for fourth order operators. There are many interesting results that we have left out of this review. For different perspectives, selections and emphasis, please refer for example to the reviews [3, 4, 5, 15, 60], among many
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50 Lee mas

### A pedagogical proposal to enhance the use of Linking Words in order to improve students' discourse competence

The next step was to create a questionnaire so that students could show in a more directed way their real knowledge of LWs and their attitude towards the teaching-learning of these linking items. The questionnaire, available in Appendix 2, consisted of three different parts. Part 1 was designed in order to test their knowledge on LWs regarding the different categories and their use. There were three different activities included in it: the first and the second one presented students different LWs and they had to relate them to the category to which they belonged; the third activity focused on grammatical use, that is, students had to choose the correct linker for a specific utterance, among the options given. Part 2 was designed in order to analyse students' perceptions on their own knowledge of LWs and on the awareness of the teaching process. In this part, they were offered ten statements and they had to decide whether they agreed or not with them taking into account the grading grid available. Finally, Part 3 focused on the students' thoughts and believes about their learning process regarding two main parameters: how they learn LWs, and how they would like to learn them. In this section, they also had to grade the options presented according to the grading grid available, in the same way they did in the previous section.
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40 Lee mas

### A task based Framework proposal for teaching reading comprehension at the Medical School

3 textbook of the subjects English I and II taught in the first year of medical studies, Vision II is the textbook of the subjects English III and IV taught in the second year of medical studies, and Vision III is the textbook of the subjects English V and VI taught in third year of medical studies. The rapid growth of technical and scientific development has forced man to use reading comprehension as one of the most effective ways to learn about modern progresses related to life in society. That is how the comprehension of written language has become the main way, by means of which, man gets in contact with the knowledge obtained by sciences. When a person reads, he/she tries to relate the new information in the text to what is already known. The reader must make connections between what the text is about and external absent objects, ideas and people. When the reader focuses primarily on what is already known to comprehend a text, this strategy is called a concept driven or ―top-down‖ mode. On the other hand, when the reader relies primarily on textual information to comprehend, this strategy is called a data-driven or ―bottom- up‖ mode (Rumelhart, 1977).
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86 Lee mas

### Methodological proposal for bilingual early childhood in a public child development center

This teacher-researcher highlights children’s natural ability to acquire a second language and how they used the vocabulary previously learnt to build sentences and achieve a communicative goal. Thus, it can be inferred that children were able to understand, acquire and integrate the new vocabulary and structures to their language system as part of a process that goes along with their first language acquisition, Genesee (2009) supports what has been previously said in one of her studies where she analyzed the pros and the cons of implementing a bilingual program in early childhood. The author expresses that kids between four and six can become bilingual if they are exposed to the second language at home. Nevertheless, if the process is done through a bilingual program, it could also have the same benefits from simultaneous bilingualism, depending on how natural the process is. As it occurred in the CDC, where kids were able to naturally acquire a linguistic input in English through a constant language exposure making use of the teaching strategies that had been already mentioned.
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121 Lee mas

### Una Propuesta Para La Enseñanza De Herencia Biológica Desde Un Análisis Histórico Del Concepto

UNA PROPUESTA PARA LA ENSEÑANZA DE HERENCIA BIOLÓGICA DESDE UN ANÁLISIS HISTÓRICO DEL CONCEPTO A PROPOSAL FOR TEACHING OF BIOLOGICAL HEREDITY TO FROM A HISTORICAL ANALYSIS OF THE CONCEPT[r]