scholarly journals A PROPOSAL TO TEACH LIGHT IN A UNIFIED FRAMEWORK USING THE FEYNMAN METHOD

2012 ◽  
Vol 47 (1) ◽  
pp. 27-39
Author(s):  
Maria de los Ángeles Fanaro ◽  
Maria Rita Otero ◽  
Marcelo Arlego

The goal of this proposal is to teach the basic aspects of light from the point of view of quantum mechanics at high school level. To this end, we have adapted Feynman´s Path Integral Method of Quantum Mechanics. This is a continuation of previous works where we considered the quantum behaviour of matter. The situations were to promote the conceptualization of the electron as a quantum system, the probabilistic function and the transition quantum–classic. Now, the goal is to build a new proposal to teach the behaviour of the light from an actual vision and from a unified model: the quantum mechanics, from the reconstruction of a reference that also uses the approach Path Integrals of Richard Feynman. It is adapted for secondary school students using vectors and sums, and it is inserted in a problems context about the light. Careful and accurate language is used, avoiding terms like photon or expressions like particles of light or wave-particle duality, because these ideas could present obstacles to understanding key aspects of quantum theory. This proposal is an alternative to avoid historical approaches commonly used so far and it is being implemented in two groups of students in secondary school (15-16 years old). Key words: Feynman method, light, quantum mechanics, secondary school, teaching.

2014 ◽  
Vol 36 (2) ◽  
Author(s):  
María de los Ángeles Fanaro ◽  
Marcelo Arlego ◽  
María Rita Otero

This paper presents an analysis of the double slit experience with light, by using concepts of the Feynman method of "sum of multiple paths" in quantum mechanics. The advantages of this formulation for the teaching of basic aspects of quantum mechanics in the high-school level are analyzed.


2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Valerie J. Shute ◽  
Eric G. Hansen ◽  
Jody S. Underwood ◽  
Rim Razzouk

This paper reviews the research literature on the relationship between parental involvement (PI) and academic achievement, with special focus on the secondary school (middle and high school) level. The results first present how individual PI variables correlate with academic achievement and then move to more complex analyses of multiple variables on the general construct described in the literature. Several PI variables with correlations to academic achievement show promise: (a) communication between children and parents about school activities and plans, (b) parents holding high expectations/aspirations for their children's schooling, and (c) parents employing an authoritative parenting style. We end the results section by discussing the findings in light of the limitations of nonexperimental research and the different effects of children's versus parents' perspectives on academic achievement.


2019 ◽  
Vol 1 ◽  
pp. 1-2
Author(s):  
Christian Haeberling ◽  
Katharina Henggeler ◽  
Lorenz Hurni

<p><strong>Abstract.</strong> Many printed school atlases do not only comprise a collection of topographic and thematic maps or illustrations to convey geographic topics at different school levels, but also infographics and text introducing key concepts and methods of cartography and geo-information. However, this was not the case for previous editions of the printed Swiss World Atlas, the most commonly used student atlas for the secondary school level in Switzerland. This omission of a dedicated introductory part may be explained by the atlas’ long tradition of more than 100 years and the strong influence on the atlas design by former editors-in-chief. In this tradition, selected cartographic aspects were covered on different pages throughout the atlas. In contrast, other printed school atlases have included a general introductory part for many decades.</p><p>This contribution presents the concept and implementation of a new, coherent, and innovative introduction chapter for the 2017 edition of the printed Swiss World Atlas (Figure 1). A comparison to similar chapters of other widely used school atlas examples from Europe and North America serves to evaluate the didactical value of this introductory part of the Swiss World Atlas.</p><p>The first part of the presentation specifies the didactical and cartographic fundamentals, with a focus on developing the student’s map reading and interpretation competences. The new introduction chapter of the Swiss Wold Atlas 2017 is structured as follows: After four pages of the atlas table of contents and a two-page list of map topics, the different steps in geomatics are illustrated with infographics that explain the data capturing methods of geodesy and photogrammetry and the processing of geodata by GIS. The following double page presents the principles of map projection and reference systems, enriched by illustrative models and graphics. Another two pages provide an introduction to cartography with basic information on map models and cartographic principles. Then, the cartographic processes of map generalisation, map structuring, legend definition, or map symbolisation are explained. On the following four pages, the students should become familiar with the different map types contained within the atlas as well as the Swiss national map series at the various map scales (Figure 2). A double page about map reading, map use, and map evaluation completes the new introduction chapter. The chapter thus shows the complete process chain from geodata capturing and processing to applying cartographic principles for map representations, in a short but clearly illustrated format aimed at secondary school students. The wording of these technical facts is chosen so that students do not need any previous knowledge. Additional concise text information, written by external experts and the editorial team, helps atlas users to acquire knowledge about the general cartographic theory.</p><p>In a second part of the presentation, the introduction chapter of the Swiss World Atlas 2017 is compared to four similar introductory parts of other printed school atlases. Concerning the content, this part of the Swiss school atlas seems more advanced, covers a broader range of topics, and goes more into details. From a graphics and layout point of view, the introduction chapter of the Swiss World Atlas 2017 combines a clear look-and-feel with a column-based structure, which contrasts with the "frame-and-box" arrangement in other atlases. It offers also a consequent and distinguished colour scheme (rather gentle colour contrasts for area objects), layout and design style (more white space for a clear page structure), and lettering concept (using a space-saving Univers font for the entire atlas). Despite of the comprehensive concept, the introduction chapter of the Swiss World Atlas 2017 is more suitable for higher school levels (10th grade or higher), due to the correctly and professionally formulated theoretical facts as well as the complex infographics. Younger students certainly like shorter and easier-to-read texts with more playful images. Thus, teachers of classes up to the 9th grade may face more challenges to explain the content in a more elementary fashion with the Swiss World Atlas than with other school atlases.</p><p> Since the publication of the atlas in summer 2017, very little feedback from the different target groups has been received to the introduction chapter. Thus, an in-depth analysis is planned this year to assess if the expectations of teachers and students are met. The editorial board will then be able to critically evaluate the representation of the specific cartographic topics with the goal of improving the introduction chapter for the next atlas revision.</p>


Author(s):  
Hanifah Nurus Sopiany

Penalaran matematis menggunakan pola pikir logis dalam menganalisa suatu masalah yang nanti pada akhirnya akan ditandai dengan aktivitas menyimpulkan atas masalah tersebut. Seseorang yang memiliki penalaran yang baik, tentunya akan berhati-hati dalam bertindak dan memutuskan sesuatu. Materi-materi pada kalkulus merupakan materi yang ada pada tingkat sekolah menengah yang nantinya menjadi lahan mengajar mahasiswa calon guru matematika S-1. Kemampuan penalaran yang dikaji mempengaruhi pembelajaran mahasiswa kedepannya karena berlaku pada matakuliah lanjut, contohnya pada kemampuan pembuktian akan selalu digunakan pada matakuliah persamaan diferensial, struktur aljabar, analisis  vektor, analisis real, dll. Sedangkan sebagai calon guru yang nantinya mengajar pada tingkat sekolah menengah, maka kemampuan penalaran ini menjadi salah satu capaian pembelajaran matematika bagi siswa sekolah menengah, maka oleh karena itu guru yang mengajarnya haruslah memiliki kemampuan penalaran yang baik. Analisis kesalahan sangat penting untuk melakukan evaluasi dan refleksi pada struktur soal maupun pada perlakuan dalam pembelajaran dalam upaya memperbaiki kemampuan penalarannya.   Mathematical reasoning uses a logical mindset in analyzing a problem that will eventually be marked by concluding activity on the problem. Someone who has good reason, will certainly be careful in acting and deciding something. The material content on the calculus is the material that exists at the secondary school level which will become the field of teaching the prospective master of math teacher bachelor. The reasoning ability studied influences student learning in the future as it applies to advanced courses, for example in the ability of proof will always be used in the course of differential equations, algebraic structure, vector analysis, real analysis, etc. While as a teacher candidate who will teach at the secondary school level, then this reasoning ability becomes one of the achievements of mathematics learning for high school students, therefore teachers who teach it must have good reasoning ability. Error analysis is very important to evaluate and reflect on the problem structure as well as on the treatment in learning in order to improve the reasoning ability.


2016 ◽  
Vol 19 (1) ◽  
pp. 26-36 ◽  
Author(s):  
Talida M. State ◽  
Judith R. Harrison ◽  
Lee Kern ◽  
Timothy J. Lewis

Little is known about the feasibility and acceptability of interventions designed to address the needs of high school students with emotional and behavioral challenges and adopted by their teachers. In this study, 336 general and special education teachers rated classwide interventions (e.g., expectations, routines, positive student–teacher interactions [PSTI]) and individual student interventions (e.g., study skills, organizational skills) in terms of priority, feasibility, and acceptability before implementation. Teachers who implemented the interventions rated their acceptability post-implementation. Results indicated that acceptability ratings varied across interventions, and it appeared that teachers rated interventions that required the least amount of time to implement (e.g., PSTI) most acceptable and those that required the most time for implementation (e.g., study skills) least acceptable. Lack of time, perceived lack of effectiveness, and poor environmental fit were often cited as reasons for lack of feasibility. Regression analyses revealed that teacher characteristics (e.g., years of experience) and type of intervention (e.g., classwide vs. individualized) contributed to teacher ratings of intervention acceptability. Implications for future research and practice are discussed.


Author(s):  
Mikael Borke

An important part of the mathematics syllabuses at the secondary school level in most countries is the concept of function. However, secondary school students often experience difficulties with this concept. These difficulties are well-known in the research literature. The study applies the mathematical knowledge for teaching (MKT) framework, including the category knowledge of content and students (KCS). Teachers’ ability to anticipate students’ difficulties is one aspect of KCS. The aim of this study is to investigate secondary mathematics student teachers’ KCS regarding the concept of function. Ten mathematics student teachers participating in a Supplementary Teacher Education Program answered a questionnaire about fictive secondary school students’ various difficulties with the concept of function. Follow-up interviews were conducted with four of the respondents. Compared to the findings of previous research on students’ difficulties with the concept of function, the respondents in the study sometimes provide reasonable suggestions about the sources of students’ difficulties. Some of the respondents demonstrate an aspect of KCS when they suggest that students can reason that a function must be defined by one algebraic expression only, and that students only know about continuous functions. However, no respondent suggests that one source of students’ difficulties with a constant function with an implicit domain is the missing domain. In addition, some respondents take for granted that students can interpret the algebraic representation of a piecewise-defined function and translate it into a graph.


Land ◽  
2021 ◽  
Vol 10 (12) ◽  
pp. 1306
Author(s):  
Hana Vavrouchová ◽  
Petra Fukalová ◽  
Hana Svobodová ◽  
Jan Oulehla ◽  
Pavla Pokorná

The paper presents the results of the study on participative mapping of landscape values and conflicts and a subsequent interpretation of the indicated localities from respondents’ point of view. The study focused on younger groups of landscape users—lower-secondary-school students (aged 11–15) and university students (aged 20–25)—in comparison with experts’ points of view. The research presumed that the perception of landscape values and issues are determined by age, level of education and by experience in the field. The study was conducted in the southeastern area of the Czech Republic (49° N, 16° E) via online data collection. Based on the obtained records, we conclude that, in terms of the typology of the valuable and problematic locations, the individual groups of respondents did not differ significantly and the selection of location types was similar across all groups. Lower-secondary-school students rather identified cultural values associated with everyday activities, and the descriptions contained emotional overtones. University students preferred natural values associated with formal values based on general consensus or conflicts associated with society-wide impacts. The experts base served as the benchmark for other groups.


Author(s):  
Urska Markun ◽  
Jasna Kos

A university degree is not enough in itself to equip a mathematics teacher for successful secondary school-teaching in the longer term. Without continuous training and career-long learning, a teacher will not be able to provide adequate support for students in activities such as extended essays or explorations, both of which are compulsory components of the IB programme. In this paper, we present some examples of such work by IB students at our school. In addition, some Slovenian secondary school students regularly participate in a national research competition for which they must submit project-based work in various fields. The present article describes how university departments co-operated with our secondary school in the course of such research. Examples of research carried out by a number of 16-year-old students at our school are also presented here.


2018 ◽  
Vol 28 ◽  
Author(s):  
Marcelo de Abreu César ◽  
Melania Moroz

Abstract This study aimed to verify the effects of a procedure, based on the stimulus equivalence model, to teach naming 10 chemical elements, from their symbolic representations and their respective numbers and atomic models. Eight high school students participated. Four classes of stimuli were used: (A) name; (B) symbol; (C) atomic number; (E) atomic model of chemical elements. The following were performed: evaluation of the initial repertoire; teaching of conditional relations and testing of emergence of new conditional relations; evaluation of the final repertoire. From the teaching of three relations (AB, BC and BE), almost all participants presented at least 90% of correct answers (hits) in nine relations (BA, CB, AC, CA, EB, AE, EA, CE, EC); in the chemical elements naming (BD, CD and ED), seven participants obtained at least 80% of hits. The efficiency of teaching procedure for chemistry learning at the high school level has been verified.


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