Mathematics In Chemistry Research Articles

The Effectiveness of Team Games Tournament Assisted By Quizizz Application to Increase Student Learning Independence

The objective of this study was to determine whether team games tournaments supported by the quizizz application improved student learning independence. Students from the Jambi University Chemistry Education Study Program took courses in chemistry mathematics in classes A and B in the 2023/2024 academic year. This study is a quasi-experimental study with a non-equivalent group design, with class A as the control class and class B as the experimental class. A questionnaire was used to collect data on students' learning independence both before and after the team games event that was made possible by the Quizizz application to make sure the data from both groups were homogeneous and normally distributed, the initial independent data from both sample classes were checked for both normality and homogeneity. The independent-samples t test is then used to compare data on students' learning independence before and after the team games tournament with the use of the Quizizz application. A significant value of 0.005 in the independent-samples t test results indicated that there was an increase in student learning independence following the implementation of the team games tournament supported by the Quizizz application. Based on these findings, the study came to the conclusion that enhancing student learning independence might be achieved through the use of the Quizizz app in conjunction with a team games event.

Pemanfaatan Microsoft Excel Untuk Membantu Meningkatkan Kualitas Pembelajaran Mata Kuliah Matematika Kimia

The purpose of this study was to improve learning activity and learning achievement of chemical education students in the odd semester who took the course Mathematics for Chemistry in the academic year of 2017/2018. This is a classroom action research consisting of three cycles, each of which includes planning, implementation, observation, and reflection. An observation sheet was used for collecting student and lecturer activities, whereas student achievement was collected using essay tests. The results show that the observation score for student activity for cycle 1, cycle 2, and cycle 3 were 20 (sufficient category), 25 (good category), and 27 (good category) respectively. Whereas, the average tests were 65.6; 80.4; and 81.3 for cycle 1, cycle 2, and cycle 3 respectively. It can be concluded that instruction of mathematics for chemistry courses aided by Microsoft Excel for students who took this course in the odd semester, the academic year of 2017/2018 could increase student learning activity and learning achievement. Keywords: Microsoft Excel; Mathematic for chemistry; classroom action research; learning achievement; learning activity.

Using Algebraic Manipulations and Analogical Transformations to Problem-Solving of Contextual Chemistry Problems

<p style="text-align: justify;">Algebraic knowledge transfer is considered an important skill in problem-solving. Using algebraic knowledge transfer, students can connect concepts using common procedural similarities. This quasi-experimental study investigates the influence of algebraic knowledge in solving problems in a chemistry context by using analogical transformations. The impact of structured steps that students need to take during the process of solving stoichiometric problems was explicitly analyzed. A total of 108 eighth-grade students participated in the study. Of the overall number of students, half of them were included in the experimental classes, whereas the other half were part of the control classes. Before and after the intervention, contextual problems were administered twice to all the student participants. The study results indicate that the students of the experimental classes exposed to structured steps in solving algebraic problems and the procedural transformations scored better results in solving problems in mathematics for chemistry compared to their peers who did not receive such instruction. Nevertheless, the result shows that although the intervention was carried out in mathematics classes, its effect was more significant on students' achievements in chemistry. The findings and their practical implications are discussed at the end of the study.</p>

The Periodic Table needs negative orbitals in order to eliminate quantum weirdness: a new quantum chemistry mathematics

A consensus among quantum experts is that the quantum world is not properly understood. It is a mistake to think we can cure quantum weirdness by tinkering with superficial aspects of quantum mechanics (QM). We propose that nature uses (–ψ) as its wave function, whereas QM uses (+ψ). We propose therefore that the Periodical Table should be changed to negative orbitals (–ψ). Surprisingly, this change makes almost no difference to chemistry on a practical level. The Born rule takes the absolute square of an amplitude to obtain a probability to test in chemistry lab P=|–ψ|2=|+ψ|2. We propose a new math based on (–ψ) that is the mirror image of quantum mathematics. We call it the Theory of Elementary Waves (TEW). The negative sign is not an electrical charge. It has nothing to do with Coulomb’s law. Valence electrons are unchanged. Ions, covalent bonds, dipoles, metals, hydrogen bonding and the hydrogen 21 cm line are unchanged. The octet rule and rules for drawing dot structures of molecules do not change. Amino acids, sugars and DNA do not change their handedness. We cite abundant experimental evidence showing that TEW is correct and QM is wrong.

The eccentric connectivity index of polycyclic aromatic hydrocarbons (PAHs)

Mathematical chemistry is the area of research engaged in new application of Mathematics in Chemistry. Major areas of research in mathematical chemistry include chemical graph theory. Chemical graph theory applies graph theory to mathematical modeling of chemical phenomena. If G=(V(G),E(G)) is a connected graph,where V(G) is a non-empty set of vertices and E(G) is a set of edges, then the eccentric connectivity index of G (denoted by ξ(G)) was defined as ζ(G)= where dv is the degree of a vertex v and e(v) is its eccentricity. In this study, we investigated the eccentric connectivity index of polycyclic aromatic hydrocarbons (PAHs).

The Role of Epistemology and Epistemic Games in Mediating the Use of Mathematics in Chemistry: Implications for Mathematics Instruction and Research on Undergraduate Mathematics Education

Mathematics is used in the physical sciences to describe and model phenomena, resulting in a unique interface between mathematics and disciplines such as chemistry and physics. This paper focuses on themes emerging from a larger project that investigated how students understand and use mathematics in chemical kinetics, a field of study concerned with monitoring the rate of chemical reactions. The primary data source for this study involved a subset of the data from the larger project, focusing on semi-structured interviews with 40 students sampled from a second-semester general chemistry course. During the interviews students were asked to work through chemical kinetics problems that could be solved without calculations (using relationships between quantities and chemistry principles) or they could be solved algorithmically (using equations and the provided data). The interviews were analyzed using the construct of epistemic games, which describe a collection of resources and an associated structure that define and guide problem-solving and reflect epistemological commitments. Findings indicate students have productive resources and approaches for engaging in problem-solving, reflected by the observed shared set of epistemic games. Implications emphasize the role of scaffolding and explicit questioning to prevent compartmentalization of chemistry and mathematics, suggesting the need for more support to help students productively apply the knowledge and skills learned in mathematics courses to contexts such as chemistry.

ANALYSIS OF EXAMPLES OF APPLYING DIFFERENTIAL EQUATIONS IN CHEMICAL AND FOOD TECHNOLOGIES

The article deals with applying mathematics in chemistry and chemistry-technology. Specifically, differential equations are extensively used in various fields of science and technology. That is why the theory of differential equations, as a separate topic in the course of higher mathematics, is of major importance in educational system of future mechanics, physicists, electrical engineers, chemists, mechanical engineers etc. A possibility of using differential equations in solving various chemical problems is demonstrated. Some chemical technology problems are exemplified whose general solution is reduced to separating variables equations, first-order linear differential equations, second-order linear homogeneous differential equations. It is noteworthy that in solving chemical technology problems we deal with all of these types of differential equations. First-order homogeneous differential equations are applied in solving the following problems: chemical compounds chlorination; chemical agent consumption with maximum end product yield in complex reactions. Second-order non-homogeneous differential equations with constant coefficients are used in solving problems of a system of reverse reactions running at constant volume; continuous hydrolysis of solid fat in a spray column. Second-order differential equations which allow reduction of order are utilized for problems such as liquid movement in capillaries. Second-order linear non-homogeneous differential equations with constant coefficients are applied to solve various problems, e.g. to find a law of motion of a particle that falls as a precipitate in a liquid having no initial velocity.

Embedded Mathematics in Chemistry: A Case Study of Students’ Attitudes and Mastery

There are many factors that shape students’ attitudes toward science, technology, engineering and mathematics. This exploratory study of high school students examined the effect of enriching chemistry with math on chemistry students’ attitudes toward math and careers involving math. To measure student attitudes, a survey was administered before and after the 18-week chemistry class; results from the chemistry class were compared to survey results from students in an elective science class that did not emphasize mathematics. At the end of the 18-week period, only the chemistry students exhibited more positive views toward their abilities in mathematics and careers that involve mathematics, as compared to their views at the outset of the course. To ensure that chemistry mastery was not hindered by the additional emphasis on math, and that mastery on state end-of-course examinations reflected knowledge acquired during the math-intensive chemistry class, a chemistry progress test was administered at the start and end of the term. This exploratory study suggests that emphasizing mathematical approaches in chemistry may positively influence attitudes toward math in general, as well as foster mastery of chemistry content.

The Wiener Index and the Hosoya Polynomial of the Jahangir Graphs

Let G be a simple connected graph having vertex set V and edge set E. The vertex-set and edge-set of G denoted by V(G) and E(G), respectively. The length of the smallest path between two vertices is called the distance. Mathematical chemistry is the area of research engaged in new application of mathematics in chemistry. In mathematics chemistry, we have many topological indices for any molecular graph, that they are invariant on the graph automorphism. In this research paper, we computing the Wiener index and the Hosoya polynomial of the Jahangir graphs $J_5,m$ for all integer number $m \geq 3$.

Applied differential equations and related computational mathematics in chemistry

Applied differential equations and related computational mathematics in chemistry

Mathematics in chemistry: indeterminate forms and their meaning

The mathematical language and its tools are complementary to the formalism in chemistry, in particular at an advanced level. It is thus crucial, for its understanding, that students acquire a solid knowledge in Calculus and that they know how to apply it. The frequent occurrence of indeterminate forms in multiple areas, particularly in Physical Chemistry, justifies the need to properly understand the limiting process in such cases. This article emphasizes the importance of the L’Hôpital's rule as a practical tool, although often neglected, to obtain the more common indeterminate limits, through the use of some specific examples as the radioactive decay, spectrophotometric error, Planck's radiation law, second-order kinetics, or consecutive reactions.

Chemical calculations: mathematics for chemistry

Chemical calculations: mathematics for chemistry

JCE Digital Library Grand Opening

The Journal of Chemical Education introduces the JCE Digital Library and its four collections:•JCE SymMath: Symbolic Mathematics In Chemistry•JCE WebWare: Web-based Learning Aids•JCE QBank: Resources for Student Assessment•JCE DigiDemos: Tested Demonstrations

Mathematics for Chemistry and Physics (Turrell, George)

This is not a fundamental mathematics book, nor is it intended to serve as a textbook for a specific course, but rather as a reference for students in chemistry and physics at all university levels.

Pólya's Isomer Enumeration Method: A Unique Exercise in Group Theory and Combinatorial Analysis for Undergraduates

The use of Polya's isomer enumeration method (IEM) to determine the number of deuterated isomers of boat cyclohexane, C6H12-xDx, is explained in detail. Determining the total number of deuterated chair cyclohexanes is left as a supplemental exercise. IEM is an elegant and powerful example of mathematics in chemistry and is an excellent source of class material for chemistry courses that include elementary concepts of group theory.

Beginning Mathematics for Chemistry by Stephen K. Scott

Beginning Mathematics for Chemistry by Stephen K. Scott

Mathematics in chemistry and in mathematical chemistry

Mathematics in chemistry and in mathematical chemistry

Mathematics in chemistry: an introduction to modern methods

Mathematics in chemistry: an introduction to modern methods