نشریه به سوی علوم ریاضی
سال سوم شماره 1 (پیاپی 3، بهار و تابستان 1402)

In this paper, by using a student’s calculation error in applying the integration formula using the subtraction method and reaching the correct answer, we reached the following formula ∫ fg = Σ1 k=0(-1)kf(k)g-(k+1) where g-(k) is the k th successive antiderivative of g and f(k) is the k th derivative of ffi. We find by using the above series and Maclaurin series, interesting results about the convergence of some series. Also, due to the introductory nature of the integration formula using the subtraction and the infinite series, this series can be new topics for the next research is to provide researchers with a new method for deriving series and discovering new series.

After the widespread of the corona virus in the world, a new era has begun in the field of social life, which has affected human life, education and mission. In order to continue the educational process, during this pandemic the educational system was forced  to use new technologies, and these technologies   caused transformations and changes in the required competency  to be appropriate for the new era. New educational technologies have a significant impact on learning, which has changed the role of learners and teachers. Today's students can not be taught mathematical concepts in the classroom with the old methods of teaching. Experience and research prove that learning in this method is not effective and reliable. Education and taking help from new educational materials and ICT made the mathematics,  which has always been associated with anxiety in all grades and levels of education due to its abstract nature, concrete so that understanding and learning  math becomes enjoyable for students. This article examines new educational methods using technology (with ICT approach) in mathematics  during the post-corona era.

In the history of mathematics during the Islamic period, poetry was used as an educational tool and has been applied for the purpose of arithmetic teaching. The special features of rhyming couplets in easier learning and faster recall of arithmetic rules were the main reason for the success of this educational method, as it was used in textbooks and pedagogical materials for centuries, and it was effective until recent centuries. This paper aims to remind the importance of one of the common methods of teaching mathematics and science in the past, which is to use the capacity of poetry and literature for introducing Indian arithmetic, by introducing two manuscripts on rhythmic arithmetic. Furthermore, it will explain the general principles of Indian arithmetic and examine a method of multiplication and division which is known as  ”Lattice” belonging to the seventh century AH.

The present research has been carried out with the aim of investigating the effect of flipped classroom on the academic motivation of 11th grade students during the Corona era. The research method is a semi-experimental type that was implemented in two control and experimental groups. The statistical society was formed by female students at the high school in Hamedan city in the academic year of 1400-1401. The research sample includes two groups of 20 female students of the 11th grade of the school. Thus, first, a school was selected from the schools of Hamedan city, which had a homogeneous enrollment of its students, and then two classes of the school were taken into consideration for testing. One class was designated as the control group and one class as the experimental group. Harter’s academic motivation questionnaire was used to test academic motivation. In this research, it was shown that flipped education has been effective in strengthening the academic motivation of students during the Corona era.

The observation of symmetry and its failure in the early worldview begins with nature and art, and then it is defined as a basic structure in mathematics. In this article, after a short talk about symmetry, we will discuss its application in finding the roots of quadratic equations and see how much more difficult the lack of symmetry makes solving quadratic equations.

Diseases are complex phenomena that are influenced by many factors. Mathematical modeling is a powerful tool for studying these factors and their effects on the disease process. Modeling helps us understand diseases better and find more effective ways to control them. Mathematical models of diseases are usually based on mathematical equations that describe the behavior of the population of people with the disease over time. These models can be used to predict the course of the disease, evaluate the effectiveness of treatment methods, and investigate the effect of various factors on the disease. One ofthe simplest mathematical models of diseases is the SIR model. This model haswide applications in the study of infectious diseases and is used to predict thecourse of epidemics, evaluate the effectiveness of vaccination, and investigate theeffect of various factors such as human behavior on the course of the disease.