International journal of physics & mathematics
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A revisit to some basic concepts for the complete understanding of physical quantities and their mathematical handling
Get PDFThis paper is concerned with an unambiguous understanding of physical quantities at a basic level where one is to deal with mathematical symbols linked to scientific concepts. To form an unambiguous understanding of physical quantities and their mathematical handling, a revisit has been made to some of the well-known notations/concepts such as: (i) symbols for physical quantities, (ii) quantity calculus, (iii) principle of unit-independence, and (iv) various kinds of physical equations. The fact that prior knowledge about quantity calculus, the principle of unit-independence, and the notations for physical quantities is essential to mathematically handle physical quantities has been emphasized, along with considering the importance of numerical value equations for physical quantities
Teaching strategies for teaching and learning rectilinear motion uniformly accelerated in Unified General Baccalaureate students
Get PDFThe purpose of this research was to analyze the teaching strategies used in the teaching and learning of uniformly accelerated rectilinear motion among first-year students of the Unified General Baccalaureate at the "Cinco de Mayo" Fiscomisional Educational Unit, located in the Chone canton, during the 2025-2026 period. To this end, a student survey and observation sheet were administered to evaluate the effectiveness of these strategies. The main problem identified was students' difficulty understanding abstract concepts such as acceleration and the relationship between velocity, time, and distance, which negatively impacts their ability to solve physical problems. The theoretical framework addressed various teaching strategies aimed at improving the teaching and learning process in this context. The objective was to diagnose, through a questionnaire, the level of understanding of concepts related to uniformly accelerated rectilinear motion and analyze the causes of the difficulties observed. The research adopted a qualitative, quantitative, and documentary approach, utilizing inductive and deductive methods, and employed questionnaires as the primary technique to interpret the results. The findings show that many students experience conceptual confusion, which significantly affects their academic performance
Didactic materials for the development of mathematical thinking in students of the General Educational Unit "Eloy Alfaro" of the Chone Canton
Get PDFThe research was based on the use of teaching materials for the development of mathematical thinking in the students of the General Educational Unit ´´Eloy Alfaro´´ of the Chone Canton. The results of the research carried out through a survey are shown as a way to project educationally the use of teaching materials for the development of mathematical thinking. It is intended to show that education in a society that is in constant change, and the growth of people and in the educational field. The purpose of this degree work is to help progress in mathematics through the use of teaching material that supports students to actively participate in class time for first-year high school students, starting from what mathematics is to the importance of teaching material. The objective was to determine the incidence of teaching materials as a methodological tool for the development of mathematical thinking in students, the research has a qualitative, and quantitative approach; in addition to the analytical and synthetic methods and the historical one. The technique applied was a survey to analyze and interpret the results of the use of teaching materials. The result was that the use of teaching materials helps the development of mathematical thinking and better learning. It was also observed that students learn more easily and effectively
Pedagogical strategy of teaching-learning projectile throwing in third year baccalaureate students of the “Santa Rita Educational Unit”
Get PDFA pedagogical strategy is presented for teaching projectile launching to third-year high school students at the Santa Rita Educational Unit. It is focused on teaching concepts such as parabolic trajectory, initial velocity and launch angle, which are fundamental. to understand the motion of projectiles in physics. To facilitate this learning, the PhET interactive simulator was used, which allowed students to manipulate different variables and observe how these affect the behavior of the projectiles in real time. The methodology was implemented in three phases: a theoretical introduction to the key concepts, an interactive experimentation phase with the PhET simulator, and an evaluation based on theoretical and practical tests. In addition, this pedagogical strategy seeks to promote active and participatory learning, where Students become protagonists of their own learning process, exploring and discovering the effects of changes in launch parameters. The result was the evaluation of the students, which was carried out through tests that combined theoretical questions about the principles of projectile movement and practical exercises that required them to apply what they learned in simulations. 
Virtual experiment on platonic solids for teaching space-time quantization
Get PDFThe work presents the virtual experiment on Platonic solids in a complementary way, where its importance is crucially used for the treatment of the teaching of the quantization of space-time via loop quantum gravity. The research was part of one of the studies carried out with 23 students in the 3rd year of high school in São Cristóvão, Rio de Janeiro, Brazil. The project is part of several introduced subjects on modern and contemporary physics, as well as frontier research topics. The student starts to have a student-researcher posture and based on Ausubel and Bruner's learning theories, they develop significant learning and receive new information and concepts at the elementary level, conditioning them to a critical and reflective posture. We use the experiment in which students interactively learn three-dimensional shapes, calculate surface area and volume and discover mathematical properties of shapes, necessary knowledge that covers the discussion of the theory. Subsequently, they carried out the skills test and we collected data from the students' operations to present the scenario of innovation and reflection on the possibility of introducing research topics in physics, but with appropriate language for the audience of interest according to Bruner's learning theory
The use of Modellus as a didactic strategy for teaching-learning kinematics in students of the Fiscomisional Educational Unit “Cinco de Mayo”
Get PDFThe research focused on the use of Modellus as a didactic strategy for the teaching-learning of kinematics in second-year high school students at the Cinco de Mayo Fiscomisional Educational Unit. The results obtained from surveys are presented, which demonstrate the benefits of this tool in the educational process. The main problem was how to facilitate the understanding of kinematics concepts in the teaching-learning context. A classification of the themes of uniformly accelerated and varied rectilinear motion was made. The objective was to propose a teaching strategy based on the Modellus simulation program to facilitate the understanding of these topics. The technique applied was a questionnaire that allowed analyzing and interpreting the use of Modellus in the classroom. The results of this study conclude that Modellus is an effective tool that optimizes the teaching of kinematics and promotes more dynamic and effective learning
Use of tangent and normal vectors for the derivation of equations of tangent and normal
Get PDFRemaining within the frame work of vector algebra and vector calculus, this paper makes use of the tangent and normal vectors to a given curve at a given point on it for the derivation of the equations of tangent and normal to the curve at that point. The techniques of derivation offered are generalized, simple and straight forward. Furthermore, unlike the traditional techniques, the present scheme increases the range of applicability of one of the fundament concepts of vector calculus (namely, gradient of a scalar point function) as well. As a result, this contribution must have educational value and it will enrich and sophisticate the traditional literature thereby enhancing the same as well
A didactic strategy for enhancing mental Mathematical computation in elementary school
Get PDFThe study "Teaching strategies to improve mathematical mental calculation in high school" attempts to improve mental calculation skills in high school students in the educational unit "Ilo Alfaro" in Chuván, Ecuador. The research is based on the recognition that mental arithmetic is an important skill not only in developing mental agility and logical reasoning, but also in solving mathematical problems effectively. The research justifies the implementation of a didactic strategy that promotes meaningful, individualized and participatory learning. Teachers play a key role in adapting this strategy to the needs of students, using new methods that encourage and strengthen their confidence in their mathematical abilities. The methodology used includes a mixed approach, theoretical and experimental, which includes the observation and survey of teachers, and the analysis of the results obtained by implementing specific teaching activities. The studied population consisted of sixth year primary education students of the above educational unit. Preliminary results suggest that the applied teaching strategies not only improve fluency in mental arithmetic, but also encourage critical thinking, collaboration among students, and the ability to apply mathematical knowledge in everyday situations
Active methodologies in mathematics learning
Get PDFActive methodologies are necessary in the educational process because they comprise a fundamental tool for the student to achieve an adequate level of success in their educational process. It is important to mention that the student plays a very important role, where students build their knowledge based on scenarios and activities designed by the teacher. Analyzing the impact of the implementation of Problem-Based Learning, the research is relevant because active methodologies include interactive teaching-learning processes that are based on active communication and the interconnection between teachers, students, and teaching material. Its advantages lie in the application of methods where the role in the classroom passes from the teacher to the student, who must adopt a greater degree of involvement than in more traditional or classic classes. The objective of the research is to know the impact they produce between the use of active methodology in learning mathematics in students at the basic general education level, and upper basic sublevel of the Eloy Alfaro de Chone Educational Unit, during the 2023 school year, where the inductive method was used for the investigation Development. Obtaining as a result that the application of active methodologies in curricular programs and the classroom generates cognitive, social, and motivational advantages for students, providing improvements to the educational system
Learning styles in the teaching of mathematics
Get PDFThe purpose of the research was to determine the scientific arguments that are developed with the way students learn and how teachers teach in the area of mathematics. In this sense, the objective was to identify the learning styles in the teaching of mathematics in the Cinco de Mayo Educational Unit of the Chone Canton in the year 2023. The problem of the study arises from the need that teachers do not plan accordingly. according to the styles that students have to learn and that are often not considered when the Teacher plans his classes. The methodology was based on the quantitative approach, because it allowed the recovery, analysis and assessment of information; A type of bibliographic-documentary and field research was applied, the methods used are inductive-deductive, analytical-synthetic and statistical. The techniques we used in the research were the checklist to analyze the micro-curricular planning designs of the teachers, the interview to identify the methodologies for student learning and the observation guide to evaluate the professional knowledge of the teachers