scholarly journals The authentic activities and mathematical modelling processes for preparatory school pupils

2021 ◽  
Vol 7 (3C) ◽  
pp. 707-719
Author(s):  
Metwali Saad Metwali Elsaidi ◽  
Marina V. Egupova
Keyword(s):  
Mathematical Modeling ◽  
Real Life ◽  
Modeling Processes ◽  
Teaching Mathematics ◽  
Preparatory School ◽  
Second Stage ◽  
Life Problems ◽  
The Impact ◽  
Academic Year ◽  
Authentic Activities

The aim of this study of the effect of authentic activities in teaching mathematics on mathematical modeling processesThe authentic activities were used by conducting the experiment, where work was with 45 pupils 13th years old of preparatory school (It’s the second stage of the educational stages in Egypt, and it’s the next stage after Primary school) in Al Qalyubia (One of the cities in Egypt) in the 2020/2021 academic year and studying this effect. The results showed, that value of the impact size through the value of h2 was calculated 0.79, and this meant the strong effect of the authentic activities on the development of mathematical modeling processes, where authentic activities lead to the development of mathematical modeling processes among the pupils because Authentic Activities provides pupils with the opportunity to study real-life problems, analyze them from various aspects and provide a correct picture of the problem that contributes to the increase of students' awareness of what they are learning.

scholarly journals The Impact of Using the Mathematical Modeling in Communication and Mathematical Achievement in Preparatory School Students

2021 ◽  
Vol 58 (2) ◽  
pp. 5482-5492
Author(s):  
Yousef Methkal Abd Algani , Wafiq Hibi , Younes Abo Al-Haija
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Achievement ◽  
School Students ◽  
Mathematical Communication ◽  
Preparatory School ◽  
Arab Schools ◽  
Prep School ◽  
And Control ◽  
The Impact ◽  
Academic Year

The research aims to know the impact of using Mathematical Modeling in achievement and developing mathematical communication skills. The research sample consists of 42 prep school students in Arab schools in Israel in the academic year 2019-2020. The researcher follows the experimental curriculum. The students were divided into two experimental and control groups; the two groups were equalized in the pre-mathematical achievement. The research concludes that there is efficiency for mathematical modelling in mathematical communication and achievement favoring the experimental group. The researcher introduces recommendations and suggestions that contribute to achieving mathematical communication and developing its mathematical ability.  

scholarly journals Formulating Modes of Cooperative Leaning for Education for Sustainable Development

2021 ◽  
Vol 13 (6) ◽  
pp. 3465
Author(s):  
Jordi Colomer ◽  
Dolors Cañabate ◽  
Brigita Stanikūnienė ◽  
Remigijus Bubnys
Keyword(s):  
Sustainable Development ◽  
Real Life ◽  
Education For Sustainable Development ◽  
Professional Life ◽  
Global Challenges ◽  
Life Problems ◽  
The Face ◽  
Contemporary Education ◽  
The Impact

In the face of today’s global challenges, the practice and theory of contemporary education inevitably focuses on developing the competences that help individuals to find meaningfulness in their societal and professional life, to understand the impact of local actions on global processes and to enable them to solve real-life problems [...]

scholarly journals A New Higher-Order Iterative Scheme for the Solutions of Nonlinear Systems

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 271 ◽  
Author(s):  
Ramandeep Behl ◽  
Ioannis K. Argyros
Keyword(s):  
Mathematical Modeling ◽  
Banach Space ◽  
Nonlinear Equations ◽  
Numerical Experiments ◽  
Iterative Scheme ◽  
Real Life ◽  
System Of Nonlinear Equations ◽  
Life Problems ◽  
Lipschitz Constants ◽  
Better Than

Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present analyses of their convergences, as well as the computable radii for the guaranteed convergence of them for Banach space valued operators and error bounds based on the Lipschitz constants. Moreover, we show the applicability of them to some real-life problems, such as kinematic syntheses, Bratu’s, Fisher’s, boundary value, and Hammerstein integral problems. We finally wind up on the ground of achieved numerical experiments, where they perform better than other competing schemes.

scholarly journals The origin of compression influences geometric instabilities in bilayers

2018 ◽  
Vol 474 (2217) ◽  
pp. 20180267 ◽  
Author(s):  
Sebastian Andres ◽  
Paul Steinmann ◽  
Silvia Budday
Keyword(s):  
Film Growth ◽  
Numerical Study ◽  
Real Life ◽  
Critical Conditions ◽  
Pattern Selection ◽  
Smart Surfaces ◽  
Life Problems ◽  
Wide Range ◽  
Post Buckling ◽  
The Impact

Geometric instabilities in bilayered structures control the surface morphology in a wide range of biological and technical systems. Depending on the application, different mechanisms induce compressive stresses in the bilayer. However, the impact of the chosen origin of compression on the critical conditions, post-buckling evolution and higher-order pattern selection remains insufficiently understood. Here, we conduct a numerical study on a finite-element set-up and systematically vary well-known factors contributing to pattern selection under the four main origins of compression: film growth, substrate shrinkage and whole-domain compression with and without pre-stretch. We find that the origin of compression determines the substrate stretch state at the primary instability point and thus significantly affects the critical buckling conditions. Similarly, it leads to different post-buckling evolutions and secondary instability patterns when the load further increases. Our results emphasize that future phase diagrams of geometric instabilities should incorporate not only the film thickness but also the origin of compression. Thoroughly understanding the influence of the origin of compression on geometric instabilities is crucial to solving real-life problems such as the engineering of smart surfaces or the diagnosis of neuronal disorders, which typically involve temporally or spatially combined origins of compression.

Mathematics and Meteorology

1986 ◽  
Vol 79 (8) ◽  
pp. 602-603
Author(s):  
Eric F. Wood
Keyword(s):  
High School Students ◽  
Secondary School ◽  
Real Life ◽  
Teaching Mathematics ◽  
School Students ◽  
Weather Forecasts ◽  
Life Problems ◽  
School Classroom ◽  
Interesting Discussion ◽  
Local Weather

One of the ironies of teaching mathematics is that real-life problems, although interesting, are often too difficult to consider in a secondary school classroom. Consequently the problems that are used in texts are often somewhat contrived. While working at the local weather office, I came upon several applications of trigonometry that are both interesting and instructive for high school students. The problems require that some background knowledge be presented to the students, but often they will have at least heard about the ideas from the nightly weather forecasts on television. These ideas make an interesting discussion for both teacher and student.

scholarly journals Reading Habit and Its Role on Students’ Academic Success at Language Preparatory School: A Research on Tishk International University Preparatory School Students

2020 ◽  
Vol 9 (27) ◽  
pp. 189-194
Author(s):  
Yunus Yildiz
Keyword(s):  
Academic Success ◽  
Reading Habit ◽  
School Students ◽  
Preparatory School ◽  
Effect Level ◽  
Teaching Curriculum ◽  
International University ◽  
Reading Activity ◽  
The Impact ◽  
Academic Year

The purpose of the research was to examine the impact of students’ reading habits on their academic success. For this matter, among 110 students, 44 students of language Preparatory School of Tishk International University have been selected randomly to respond the survey questions. According to the 24-week annual language teaching curriculum in Preparatory School, 44 students' annual academic success has been observed. Data has been analyzed by SPSS software and the results were shown in the heading of the effect level and quality of reading habit on students' academic achievement. In this empirical study, students were not forced to read. They read books as an extracurricular reading activity during their academic year.

scholarly journals Students Mathematics Interest in Senior High Schools: Empirical Evidence from Ashanti Region of Ghana

2019 ◽  
pp. 1-14
Author(s):  
Yarhands Dissou Arthur
Keyword(s):  
High Schools ◽  
Empirical Evidence ◽  
Teaching And Learning ◽  
Teacher Motivation ◽  
Real Life ◽  
Teaching Mathematics ◽  
Ashanti Region ◽  
Life Problems ◽  
Mathematics Educators ◽  
Alpha Reliability

The relevance of students’ academic interest in mathematics is of great concern to stakeholders in education. The present study models students’ interest in mathematics (SIM) using mathematics facility (MF), mathematics connection (MC), teacher motivation (TM) as well as instructor quality and availability (IQA). The study randomly selected 1500 students from 10 senior high schools from the Ashanti region of Ghana; however, 1,263 of the participants fully participated in the study. These participants were made to respond to validated self-administered questionnaires with alpha-reliability of 0.74, 0.69, 0.70, 0.699 and 0.68 for SIM, MC, MF, IQA and TM respectively. Findings from the study showed that MC, MF, IQA and TM explain 71.6% of the variance in students’ interest in mathematics. The study further found that approximately 15% of variability in teachers’ ability to connect mathematics to real life problems is attributable to availability of mathematics facility as well as instructor quality and availability. The study finally found that availability of mathematics facilities for teaching and learning explains 12.4% of instructor quality in teaching mathematics. The study concluded that students’ interest in mathematics is influenced significantly by the teachers’ ability to connect mathematics to real life and the immediate environment, availability of mathematics facility, teacher motivation as well as instructor quality and availability. The study recommended for mathematics educators to take into account the influence of these factors and integrate them in the delivery of mathematics in high schools.

scholarly journals Pelatihan Rich Task Pada Mgmp Matematika SMP Lombok Barat

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Ita Chairun Nissa ◽  
I Ketut Sukarma ◽  
Sanapiah Sanapiah ◽  
Ade Kurniawan ◽  
Sabrun Sabrun
Keyword(s):  
Mathematical Knowledge ◽  
Positive Response ◽  
Real Life ◽  
Teaching Mathematics ◽  
Training Methods ◽  
Training Material ◽  
Community Needs ◽  
Quality Of Teaching ◽  
Life Problems

The West Lombok Mathematics’ Teacher Community needs to be improved because of the government's demands on the quality of teaching mathematics in schools. Having good mathematical knowledge and being able to solve real-life problems is an important key for teachers to be able to develop innovative mathematics teaching. But in fact, teacher training that emphasizes aspects of mathematical content is still not widely implemented. This is an important reason for this training. The training is carried out in one day through video screening and rich task modeling. The assessment of this training is measured using a closed questionnaire that asks the teacher's attitude towards statements related to the training material, training methods, the ability of the speakers, and the motivation of the trainees. The training that was carried out succeeded in getting a positive response that most of the teachers gave a very agreeing attitude. The teachers also feel motivated and have good expectations for applying the knowledge and skills gained from training into teaching mathematics in the classroom

scholarly journals Applications and props: the impact on engagement and understanding

2018 ◽  
Vol 17 (1) ◽  
pp. 3
Author(s):  
Alexander S Corner ◽  
Claire Cornock
Keyword(s):  
Group Theory ◽  
Data Storage ◽  
Planar Graphs ◽  
Real Life ◽  
Euclidean Algorithm ◽  
Modular Arithmetic ◽  
First Year ◽  
Life Problems ◽  
Physical Objects ◽  
The Impact

Problems based on applications or objects were added into a first year pure module in gaps where real-life problems were missing. Physical props were incorporated within the teaching sessions where it was possible. The additions to the module were the utilities problem whilst studying planar graphs, data storage when looking at number bases, RSA encryption after modular arithmetic and the Euclidean algorithm, as well as molecules and the mattress problem when looking at group theory. The physical objects used were tori, molecule models and mini mattresses. Evaluation was carried out through a questionnaire to gain the students' opinions of these additions and their general views of applications. Particular attention was paid to the effect on engagement and understanding.

scholarly journals The Interrelationships between Metacognition and Modeling Competency: The Moderating Role of the Academic Year

2021 ◽  
Vol 10 (4) ◽  
pp. 1853-1866
Author(s):  
Riyan Hidayat ◽  
Sharifah Norul ◽  
Hutkemri Zulnaidi ◽  
Mohd Faizal ◽  
Mazlini Adnan
Keyword(s):  
Mathematical Modeling ◽  
Structural Equation ◽  
Research Question ◽  
Real Life ◽  
Modern Science ◽  
Equation Modeling ◽  
Correlational Research ◽  
Academic Year ◽  
Moderating Role

<p style="text-align: justify;">Several concerted movements toward mathematical modeling have been seen in the last decade, reflecting the growing global relationship between the role of mathematics in the context of modern science, technology and real life. The literature has mainly covered the theoretical basis of research questions in mathematical modeling and the use of effective research methods in the studies. Driven by the Realistic Mathematics Education (RME) theory and empirical evidence on metacognition and modeling competency, this research aimed at exploring the interrelationships between metacognition and mathematical modeling and academic year level as a moderator via the SEM approach. This study involved 538 students as participants. From this sample, 133 students (24.7%) were from the first academic year, 223 (41.4%) were from the second and 182 (33.8%) were from the third. A correlational research design was employed to answer the research question. Cluster random sampling was used to gather the sample. We employed structural equation modeling (SEM) to test the hypothesized moderation employing IBM SPSS Amos version 18. Our findings confirmed the direct correlation between metacognition and mathematical modeling was statistically significant. Academic year level as a partial moderator significantly moderates the interrelationships between the metacognitive strategies and mathematical modeling competency. The effect of metacognition on mathematical modeling competency was more pronounced in the year two group compared to the year one and three groups.</p>

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