scholarly journals PREPARING FOR MATHEMATICAL COMPETITIONS: A PROBLEM SERIES ON METRIC RATIOS IN A QUADRANGLE

Author(s):  
Liudmyla Iziumchenko ◽  

Solving of competitive problems by pupils and students is a good foundation and preparation for future practical and scientific activities, as mastering the methods of solving competitive problems requires them to work hard, actively and focused, as well as develops their creativity and raises level of interest in mathematics. The article reveals the mathematical aspects of preparing students to solve competitive problems on the example of one geometric problem (the ratio between the areas of triangles formed by the intersection of diagonals of a convex quadrilateral), which is the basis of many competitive problems in geometry; the problem is solved using the facts of elementary mathematics, available to students of the eighth form of secondary school; an analysis of the range of competitive problems of various mathematical competitions, for which the considered reference problem is a key subtask in the solution. An author's competitive problem for high school students has been created, which allows integrating a purely theoretical-numerical problem into the geometric shell with the study of simplicity of elements, divisibility of a product by a prime number, mutual simplicity of elements, with the need to find solutions of Diophantine equations in natural numbers. The article combines a problem series of a large number of different competitive geometric problems around one reference problem, presents the methodological aspects of preparing students to solve competitive problems on the example of this problem; attention is paid to checking the correctness of the obtained results, which avoids erroneous solutions; the tasks which urge to find and realize ways of their fulfillment are analyzed; examples of different tasks in terms of age capabilities of researchers are selected; the problems of competitions of regional levels with geometric and theoretical-numerical filling are considered; the competitive task on the given subject is created. Further research will be aimed at creating a broader series of tasks for the considered reference problem, including problems with integration into related competitive topics. The article emphasizes the problem content and structuring according to the age capabilities of students on the research topic.

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.


2018 ◽  
Vol 4 (12) ◽  
pp. eaau6200 ◽  
Author(s):  
Gideon P. Dunster ◽  
Luciano de la Iglesia ◽  
Miriam Ben-Hamo ◽  
Claire Nave ◽  
Jason G. Fleischer ◽  
...  

Most teenagers are chronically sleep deprived. One strategy proposed to lengthen adolescent sleep is to delay secondary school start times. This would allow students to wake up later without shifting their bedtime, which is biologically determined by the circadian clock, resulting in a net increase in sleep. So far, there is no objective quantitative data showing that a single intervention such as delaying the school start time significantly increases daily sleep. The Seattle School District delayed the secondary school start time by nearly an hour. We carried out a pre-/post-research study and show that there was an increase in the daily median sleep duration of 34 min, associated with a 4.5% increase in the median grades of the students and an improvement in attendance.


2013 ◽  
Vol 45 (2) ◽  
pp. 363-380
Author(s):  
Vera Radovic

The paper presents the results of a study of the opinion of fourth- and eighth-grade primary school students (N=880) on the characteristics of teachers? oral presentation. The main goal is to take into account students? opinion in the new didactic grounding of the monologue teaching method. This implies appreciation of the proven values of applying the monologue method in teaching and its adaptation to suit the needs of modern teaching, first of all, the needs of students. In this context, we think that the perception of the monologue method from students? perspective is very significant in assessing the limitations and the possibilities of its application incurrent conditions. Students described the characteristics of teachers? oral presentation that they liked best and least and provided suggestions on methods of enhancing the oral presentation of teachers. Students gave the most positive assessments to oral presentations that were clear from the linguistic, logical and the didactic and methodological aspects. On the other hand, the majority of students? negative comments were related to inadequate behavior of some teachers as speakers and to ?incomprehensible oral presentation?. The results show that students gave very clear and specific statements on the positive and negative characteristics of teachers? oral presentation, which, in the given didactic context, can be very indicative for the enhancement of this teaching element both for teachers and the didactic experts.


Author(s):  
عبد الكريم عبد الجليل الوزان

Today, in light of the tremendous technological development, media has become a requirement of modern life, as it is considered a means of learning about other sciences and cultures. For this, it has become necessary to educate young people in secondary school as an intermediate stage, to study media in all its branches, by including it within the teaching curricula, provided that the scientific components, specialized cadres and necessary equipment are available and to proceed with all that, according to an accurate and organized approach, especially since major countries such as Britain And an Arab like Saudi Arabia has preceded us, albeit in a limited way. This expected step deters young people from media illiteracy, broadens their perceptions at this school stage, helps them to creativity, visualization, extrapolation, and criticism, as well as pushes them to understand what is going on around them in terms of events and facts in various fields, and helps them to shorten their scientific career, by reaching the best The paths of comprehension, understanding, and creativity.


Author(s):  
Maysaa Abdullah Ibrahim Al-Ayadi

The objective of the current research is to identify the effect of using the student's guide bag on the attitudes and professional tendencies of high school students who have learning difficulties in Riyadh city. The researcher used two tools: the student's guide bag and the vocational awareness scale. After the data were collected and statistically analyzed by calculating the arithmetic mean to identify the differences between the pre-test and post-test of the occupational awareness scale, and the ETA box (2). The study found that there are statistically significant differences At a level of significance less than (0.05) among the average responses of secondary school students who have learning difficulties in the tribal and post-application of the vocational awareness scale. There is a high impact on the effectiveness of the student's student bag program to improve vocational awareness among high school students who have learning difficulties To study the need to pay attention to vocational guidance and support materially and morally, and to participate students who have learning difficulties themselves in planning guidance programs.


Author(s):  
Adnan Abdulhamid Saati

This research aims at exposing the impact of the variability of presentation ways of visual stimuli and their associated sign-language explanation(visual stimuli without sign-language explanation/ visual stimuli followed by sign-language explanation/ visual stimuli simultaneous with the presentation of sign-language explanation) in educational computer programs on academic achievement of some English words among high school students (deaf group) in the integration program At Ain Jaloot Secondary School and the integration program in Dumah Al Jandal Secondary School. The study population included students of the integration program of the two schools, the sample size was determined and it included (36) deaf students who were randomly distributed into three pilot groups. The prior assessment was applied by using the electronic achievement test prepared by the Quiz Creator application, its reliability and validity were then confirmed by checking the coherence of the three groups. The three pilot groups enrolled for an educational computer program, in which the first group studied the impact of the variability of visual stimuli without sign-language explanation, the second group studied the visual stimuli followed by sign-language explanation, then the third group studied the visual stimuli simultaneous with the presentation of sign-language explanation the groups and each group of the three groups included a sample of 12 deaf students. The results of the study showed: Presence of differences which are statically significant (P value= 0.05) between the average degrees of the three groups in favor of the second group who studied the visual stimuli followed by a sign-language explanation.


Author(s):  
Podchara Soemphornwiwat ◽  

The Covid-19 pandemic has caused several changes in the human state of mind, in particular adapting to the culture of the new normal while lockdown measures are implemented. This study explored the effect of the lockdown measure on the level of anxiety of high school students, comparing those identified as introverts and extroverts. Participants (N = 103) filled out the given survey, which determined that they were both introverts or extroverts and the level of anxiety that they had before, during, and after the lockdown caused by the pandemic. According to statistical analysis, the result showed that the level of anxiety perceived by those feeling the sense of extroversion was statistically higher than those with introversion, at the significance level of 95%. In addition, the analysis revealed that there was no correlation between extroverts and anxiety before, during, and after the lockdown measures. On the other hand, there were statistical correlations between the level of introversion and the level of anxiety in every stage of lockdown: before, during and after, indicating that the lockdowns due to the global pandemic did not affect extroverted people anxiety as much as it affected introverts. Moreover, it also showed that the level of anxiety of the introverts has become even more intensified even after the lockdown.


2017 ◽  
Vol 1 (1) ◽  
Author(s):  
Ahmad Afandi

This study is aimed to describe deductive reasoning e of Junior High School Students in solving geometry problem based on gender difference. Deductive reasoning in this study refers to general premise, specific premise, conclusion drawing. The subjects of this study are two Junior High School Students. The technique of collecting data applied in this study are task giving and interview. The result of the study would be presented as follows: (1) deductive reasoning e of the male student; at the planning phase for solving problem, subject could formulate general premise and mention the premises which were used to solve the given problem. Subject could also formulate specific premise by giving logical premise referring to general premise based given problem, and he could draw conclusion by determining the strategy firstly to solve the given problem. At the executing planning phase for solving the problem, subject could formulate general premise using premises in order to solve the given problem. Subject could also formulate specific premise by determining logical premise referring to general premise based given problem, and he could draw conclusion using general and specific premise that had been proved. (2) Deductive reasoning e of the female student; at the planning phase for solving problem, subject could formulate general premise by mentioning the premises which were used to solve the given problem. Subject could also formulate specific premise by giving logical premise referring to general premise based given problem, and he could draw conclusion by determining the strategy firstly to solve the given problem. At the executing planning phase for solving the problem, subject could formulate general premise using premises which were used to solve the given problem. Moreover, subject could not formulate specific premises and the way he drew the conclusion was contradictive to the strategy he determined at the planning phase for solving problem.


2011 ◽  
Vol 15 (2) ◽  
pp. 215-236 ◽  
Author(s):  
Michael H. Daller ◽  
Cemal Yıldız ◽  
Nivja H. de Jong ◽  
Seda Kan ◽  
Ragıp Başbaĝi

The purpose of this study is to establish measures of language dominance in bilinguals who speak structurally different languages, in our case German and Turkish, with tools that are based on fluency and oral proficiency. A ‘balanced’ bilingual with equal proficiency in two (or more) languages is hardly ever found (e.g. Grosjean, 1982; Olsson, & Sullivan, 2005) but the identification of the dominant language is a huge methodological problem, especially in studies of structurally different languages (see Daller, van Hout, & Treffers-Daller, 2003). The participants in the present study are a group of Turkish—German bilinguals who grew up in Germany and returned to Turkey during their school career, the so-called ‘returnees’ (n = 60), and a group of Turkish secondary school students who grew up in Turkey and learned German as an L2, the so-called control group (n = 55). We firstly establish the language dominance of the two groups with a C-test. We then use oral picture descriptions in both languages to measure a variety of fluency measures, both manually and using scripts written in ‘Praat’ (Boersma & Weenink, 2007). On the basis of these scores, we are able to develop measures of fluency that correlate highly with the C-test scores and have a highly predictive value in a logistic regression in the prediction of group membership (returnee or member of the control group). We conclude that this corroborates the validity of the measures. Overall we conclude that it is possible to develop measures of language dominance based on fluency and overall oral proficiency.


2021 ◽  
Vol 13 (4) ◽  
pp. 39-57
Author(s):  
E.L. Berezhkovskaya ◽  
L.G. Kravtsov

The interaction of secondary school and university is most often focused not on the development of the personality of students, but on their choice of directions for further education. We assume that the level of development of the personality of adolescents does not correspond to the age-related task of professional self-determination. To test this hypothesis, we used a set of projective and survey methods aimed at studying the level of development of self-awareness, conceptual thinking and motivational sphere, including in relation to the choice of a profession. In addition, we studied the current interests of adolescents and their relationship to school. The study was conducted on a sample of 153 Moscow school students aged 14-17 years. The results obtained show that worries about the imminent graduation from school and the choice of a profession leaves an imprint on the state of schoolchildren, and success in this matter seems to them overvalued. The personal interests and plans of the children are suppressed by the fear of final exams and admission to a university. Based on the data obtained, we concluded that it is necessary to bridge the gap between the real interests and needs of schoolchildren and the educational environment. As a means for this, a special subdivision of the school and the university is proposed – "School Campus". The work of the "School Campus" can provide a change in the social situation of the development of schoolchildren, removing this contradiction.


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