Activities in the Secondary School

In this chapter there is the presentation of a vertical path on the main topics of arithmetic-algebra-infinitesimal calculus and numerical methods, which are an object of study in the secondary school. Naturally, the attention will be focused on the “virtual” phase, that is the applications with the computer and the MatCos 3.X environment, both as graphical-numerical experimentation, of intuitive support to the understanding of the concepts, that as a necessary moment for the actual calculation in the applications. It presents a TLS based on a real problem, from which the whole presented methodology shines through: from problem solving, to mathematical and numerical modeling, to the formulation of the solving algorithm and its implementation in the MatCos 3.X environment.

2017 ◽  
Vol 54 (2) ◽  
pp. 195-202
Author(s):  
Vasile Nastasescu ◽  
Silvia Marzavan

The paper presents some theoretical and practical issues, particularly useful to users of numerical methods, especially finite element method for the behaviour modelling of the foam materials. Given the characteristics of specific behaviour of the foam materials, the requirement which has to be taken into consideration is the compression, inclusive impact with bodies more rigid then a foam material, when this is used alone or in combination with other materials in the form of composite laminated with various boundary conditions. The results and conclusions presented in this paper are the results of our investigations in the field and relates to the use of LS-Dyna program, but many observations, findings and conclusions, have a general character, valid for use of any numerical analysis by FEM programs.


2021 ◽  
Vol 6 (15) ◽  
pp. 552-562
Author(s):  
Fatma Berna BENLİ ◽  
Kübra GÜRTAŞ

In our new education curriculum, it has been seen that it is no longer sufficient for students to learn only the achievements, unlike these gains, solution strategies that the student visualizes in his mind and designed by himself are also needed. Mathematical thinking, which is the process of obtaining new information completely different from the student's old knowledge and new knowledge, using it in the solution of the problem, and transforming that knowledge into new knowledge, has become extremely important. MEB asks students for deep mathematical thinking and problem solving skills in all questions they ask in the skill-based tests and student selection exam LGS. In this study, mathematical thinking and problem solving skills of middle school 7th grade students while solving problems will be examined. The research was applied to 241 students in 7 different secondary schools in the province of Bingöl in the Eastern Anatolia Region in the 2020-2021 academic year. In the study, it was investigated by quantitative and qualitative methods whether the mathematical thinking and problem solving skills of the students on rational numbers are related to gender, whether they had pre-school education and daily reading time. In the research, the SPSS 25 package program was used in the analysis of quantitative data, and in the analysis of qualitative data by examining the process steps in the answers from the students. As a result of the research, a statistically significant difference was found between male and female students, and this difference is in favor of female students. According to the findings obtained from the research, no statistically significant difference was found between the students who had and did not have pre-school education. Secondary school 7th grade students’ mathematical thinking and problem solving skills are related to their daily reading time. According to the results, students who read for an hour a day are more successful than students who read for fifteen minutes a day.


Author(s):  
Giovanni Cavaccini ◽  
Vittoria Pianese ◽  
Alessandra Jannelli ◽  
Salvatore Iacono ◽  
Riccardo Fazio

2017 ◽  
Vol 1 (1) ◽  
pp. 89
Author(s):  
Melda Panjaitan

Abstract - The numerical method is a powerful mathematical problem solving tool. With numerical methods, we get a solution that approaches or approaches a true solution so that a numerical solution is also called an approximate solution or solution approach, but almost the solution can be made as accurately as we want. The solution almost certainly isn't exactly the same as the real solution, so there is a difference between the two. This difference is called an error. the solution using numerical methods is always in the form of numbers. The secant method requires two initial estimates that must enclose the roots of the equation. Keywords - Numerical Method, Secant Method


2018 ◽  
Vol 8 (1) ◽  
pp. 39-48
Author(s):  
Hari Pratikno ◽  
Endah Retnowati

General problem-solving steps consist of understanding the problem, developing a plan, implementing the plan and checking the result. The purpose of this study is to explore how well Indonesia junior secondary school students apply these four steps in solving mathematical problems, especially on plane geometry topics. Using a qualitative approach, with a sample of nine students, of which three students were from the low mathematics achievement category, three from the medium and three from the high category, were given a test and instructed to write the answers to each question step by step. The results were described and categorized into four groups. The first group consisted of students who used all of the four steps. The second and the third were for students who used the first three steps or the first two steps respectively. The fourth group was for those who could only show the first step. The study indicated that for this sample the level of mathematic ability corresponded to how the students applied their problem-solving steps. It was found that students with high ability were included in the first group, while those with moderate ability were in the second group. Low ability students were categorized into group four. Nevertheless, there was one student with high ability who did not to do the checking step and there was one student with low ability who was able to develop a plan.


2018 ◽  
Vol 10 (3-2) ◽  
Author(s):  
Shanthi Tamilselvam ◽  
Johari Surif

This study aims to evaluate the suitability of the Scenario Based Learning Module (SBL), which has been designed in the topic of Problem Solving Models. The study also aims to examine the advantages of SBL in universities and secondary education levels.  In addition, this study was conducted to find out the barriers and constraints in the designated SBL.  Lecturers from a university and a secondary school participated in this study which is conducted as an interview.  The interview is aimed to gather information on the suitability and features of the module, as well as the advantages and obstacles in the SBL module.  The data obtained from the interviews are qualitatively analyzed through the transcription process.  The findings show that the modules are designed to be practiced at university level among students. The findings also show that the module has many advantages in terms of understanding the learning content, thinking skills and problem solving skills, social and collaborative skills and intrinsic motivation of students.  Additionally, obstacles and constraints that exist in SBL are also discussed. This study benefits from the perspective of providing information on the suitability, advantages and obstacles of SBL for the Problem Solving course in Chemistry Education.  In fact, university lecturers and secondary school teachers can take this study as a reference for SBL applications in teaching and learning.  University students can also benefit from the SBL module designed and the results of this study.


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