La Découverte De La Fonction Logarithme En Utilisant Les Suites Et Le Logiciel Geogebra

Mathematics Logarithmic functions are an important part of the school curriculum. Also, they are important tools for solving problems in mathematics, physics, chemistry, biology, economics etc. The teaching of these functions is done in different ways in school curricula. This article focuses on the discovery of logarithmic functions using alternative methods for efficient didactic transposition. Our work focuses on: A bit of history concerning the invention of the logarithm function; Demonstration of the existence of a function which transforms the product in sum; Discover the logarithm function using the GeoGebra software; Explore the parameters of the function f (x) = a logb (x + h) + k using the GeoGebra software; Application of the GeoGebra software to solve problems containing the logarithm function. We concluded this work by clarifying the usefulness of the Geogebra tutorial in the didactic transposition for the teaching of logarithmic functions for the pupil as well as for the teacher. Also, this study assesses students' motivation in learning mathematical concepts. In addition, we propose didactic perspectives of the use of Geogebra in improving the teaching of mathematics

Moodle for Italian Astronomy Olympiad

Italian Astronomy Olympiads are organized by Societ\`a Italiana di Astronomia in collaboration with Istituto Nazionale di Astrofisica (INAF) and they are included in the MIUR's upgrading program for educational excellence. The Presidency of the National Olympic Committee based at Osservatorio Astronomico di Brera (INAF). Olympiads are aimed to italian high school students: the winners of the national stage participate to International Astronomy Olympiad (IAO). IAO officially born in 1996 at the initiative of Euro-Asian Astronomical Society. They are held every year in autumn, in a different country, and they see the regular participation of over twenty national teams of the European and Asian area, including Italy. Today the didactical support is limited to the little material provided by Italian Committee on the italian official site. In order to supply this lack, we projected a didatcical platform, developed with Moodle, that it could propose astronomical learning pages like glossary's voices and a lot of exercises about every subject

Using of geogebra software to improve understanding of vector and kinematic concepts in online physics course

This research aims to improve understanding of vector and kinematics concepts with Geogebra software in online learning (online using e-Learning UNIPMA (e-LMA). The method used in this research is a descriptive conducted on four students who took fundamental physics for the 2019/2020 academic year. The research steps are described as follows 1) creating a profile and analyzing understanding of vector concepts and kinematics before implementing e-LMA, (2) describing the learning process through e-LMA, (3) creating a profile, and analyze students' understanding of vector concepts and kinematics after the implementation of e-LMA. E-LMA-assisted learning by integrating materials and assignments with GeoGebra software can improve understanding of vector and kinematic concept

IMPLEMENTATION OF SPACE GEOMETRY LEARNING USING GEOGEBRA TO IMPROVE PROBLEM SOLVING SKILLS

Prospective mathematics teachers must be equipped with problem solving skills because it has a very important place in the mathematics curriculum. The purpose of this research is to get an overview of improving the problem solving skills of prospective mathematics teachers by implementing GeoGebra on space geometry learning. The research was conducted in Study Program of Mathematics Education, Tidar University in the second semester students. This research uses quasi-experimental method, with nonequivalent control group pretest-posttest design using two groups, namely experimental group consisting of 36 students got GeoGebra-based space geometry learning and control group consisting of 35 students got conventional space geometry learning. Research instruments in the form of observation sheets and test instruments in the form of pretest and posttest to measure achievements of problem solving skills improvement. The data obtained is then processed and analyzed by calculating the percentage of learning implementation and calculating the average normalized gain score (N-Gain). The results showed that GeoGebra-based Space Geometry learning can improve problem solving skills. In the experimental group, problem solving skills were improved in high category, while in the control group the improvement of problem solving skills in moderate category

Learning the concept of integral through the appropriation of the competence in Riemann sums

It is proposed that the difficulty of engineering students into understanding the concept of the integral, as a way for calculating the area under a curve, can be overcame if students are taught how to translate it into the problem of calculating a Riemann sum. A series of applied problems are proposed to provide a frame that required to calculate the area under a curve to two groups of students. For one of these groups, Geogebra was proposed as a tool that could be used to maintain the focus of students into the concepts, by providing ways to easily calculate and visualize the solutions, while the other group reached to the solutions by analytically making all the calculations. Evidence was found that, to a confidence level of 95%, Riemann sums calculated with Geogebra reduce the score difference in context problems requiring the calculation of integrals, helping students to reach a better understanding on the concept of the integral as the area under the curve of a given function

Development of Mathematical Learning Media Based on Geogebra Based Learning Problem to Improve Students’ Creative Thinking Ability

This study aims to: 1) find valid, practical and effective mathematics learning media developed with the Geogebra-assisted Problem Based Learning model; 2) describe the improvement of mathematical creative thinking ability of class XI students of SMA Negeri 1 Batang Kuis by using mathematics learning media developed with the Geogebra-aided Problem Based Learning model. This type of research is development research (development research) that uses a 4-D development model. This research was conducted through two stages, namely the stage of developing learning media based on Geogebra-assisted Problem Based Learning with Thiagarajan 4-D models, and the stage of testing the learning media of mathematics in class XI MIA 1 and XI MIA 3 SMA Negeri 1 Batang Kuis. From the results of the trial I and trial II obtained valid mathematics learning media according to experts. Based on the results of the analysis of the data obtained shows that the learning media based on Geogebra-assisted Problem Based Learning meets the practical, effective, and can improve mathematical creative thinking abilities. Keywords: Development of Mathematics Learning Media, Problem Based Learning, Geogebra, Mathematical Creative Thinking Ability DOI: 10.7176/JEP/11-2-07 Publication date: January 31st 202

GeoGebra as learning tool for the search of the roots of functions in numerical methods

Physics is capable of describing, through equations, phenomena on a micro and macroscopic scale. However, most of these equations are non-linear and the identification of their roots requires the use of approximation methods, with numerical methods being a proposal based on a systematic and iterative process, that conclude only when a pre-established tolerance is satisfied. Traditional teaching of numerical methods involves the memorization of algorithms. However, this hinders student’s ability to understand the important aspects and then apply them for solving applied problems in subjects such as kinematics, dynamics, electromagnetism, etc. Therefore, this work proposes the use of GeoGebra, as a didactic tool to illustrate the functioning of single root searching algorithms. By using the dynamical graphic’s view of GeoGebra, a series of abstract and applied problems where solved by engineering students taking a numerical methods course. The scores of this test group was then compared to a test group, taught trough algorithm memorization. Results show can improve their understanding of how the bisection, false position, secant, and Newton-Raphson methods are able to find approximated solutions to polynomial and trigonometric equations. The results are compared against traditional learning, based on memorizing the steps of the algorithm for each method and the representation of the convergence of successive roots by numerical tables

THE IMPACT OF THE USE OF GEOGEBRA ON STUDENT’S MATHEMATICAL REPRESENTATION SKILLS AND ATTITUDE

Mathematics is important and applies to science, technology, society or the natural sciences. It is applied directly or indirectly. Most students find this to be a very stimulating, complex, and well-understood subject. Maths in high school is extremely important. The study was designed to investigate the impact of students' mathematical representation skills and their attitudes towards GeoGebra. This study was quasi-experimental and carried out on high school students. We have two groups belonging to the same standard class. The control group consisted of 22 students, while the experimental group consisted of 28 participants. The conventional approach was used to teach certain concepts of plane geometry to the students in the control group. On the other hand, the experimental group taught similar teachings using GeoGebra. The results show that students have more skills in mathematical representation using GeoGebra. The semi-empirical test also showed a significant change in students' attitudes between the pre-test and the post-test. Students are more active in mathematical representation skills in GeoGebra.  Article visualizations

Constructing Calculus Concepts through Worksheet Based Problem-Based Learning Assisted by GeoGebra Software

This study aims to produce a valid, practical, and effective calculus learning worksheet using a problem-based learning method assisted by GeoGebra software in improving problem-solving skills. This worksheet serves as a guide to students in constructing the calculus concepts through the provided instructions according to the Problem-Based Learning syntax. Furthermore, the construction process was carried out using GeoGebra software. Students are given scaffolding to construct concepts. This research is development research. This study employs a Plomp model, which consists of three stages, namely the preliminary study, development or prototyping, and assessment phases. The subjects are 32 students in class XI.2 at the State Senior High School of 14 Padang. The results showed that the worksheet produced was valid, practical, and effective in improving students' problem-solving abilities. This implies that it would assist students in constructing calculus concepts. Furthermore, it showed that GeoGebra is capable of visualizing abstract calculus concepts, which enables students to understand higher mathematical thinking on the main concept of calculus. In conclusion, the use of GeoGebra in mathematics learning is able to help students construct mathematical concepts and improve their problem-solving abilities. Doi: 10.28991/HIJ-2022-03-03-04 Full Text: PD

GeoGebraAs a Tool to Enhance Student Ability in Calculus

ThispaperdescribedtheuseofGeoGebrasoftwaretohelpstudentsinunderstanding Calculus material and its applications. GeoGebra is already used by more than 100 million students around the world. GeoGebra has the ability to minimize the difficulties of students who get Calculus subjects, especially students majoring in Natural Sciences and Engineering because this subject becomes a compulsory subject and a fundamental foundation in mathematics and its application across multidisciplinary fields such as medical, social sciences, psychology, and economics. Usually, the calculus course is given to first-year university students as the foundation for next course requirement. However, the manual calculation in Calculus sometimes takes a long time as it requires mathematics skills to solve the problem. Therefore, the advantagesofusingGeoGebraare(a)helpingtoconveytheCalculusconceptmaterial to be more interesting, especially for the delivery of material concepts of functions, limits, derivatives, and integrals, (b) providing a more realistic image, especially for more complex calculus material, and (c) providing a faster and accurate solution.     Keywords: GeoGebra, Natural Sciences, Engineering, Mathematics, Calculu