Mathematical Information Technology Research Articles

Forming the competence of physics and mathematics students using information technology

Relevance. The relevance of the study arises as computers in educational institutions have ceased to be a mere subject of study and have become a tool for learning. The main purpose of using computer-based learning technologies is to increase the efficiency of the learning process. This task is also solved by increasing the motivation of students to study technical graphics. Graduates should be able to use graphics systems to create both blueprint and design documentation and to solve three-dimensional graphic modelling tasks. Purpose. The purpose of the study was to identify the features of the formation of professional competence of non-humanitarian specialities through information technology. Methodology. The methodological basis of the study was general theoretical methods, through which it was possible to determine the fact that the use of information and communication technologies in the classroom allows raising the level of information culture, realising the potential of each student, and forming the professional skills of future specialists. Results. This article covered the main methods of using information technology in mathematics and physics classes, the features of the competency-based approach, the advantages of using innovative computer technology, and the types of technologies used. It has been found that the use of information technology in mathematics and physics classes affects: the activation of students' cognitive activity, development of mathematical logic, variability of reasoning, and concentration of students' intellectual activity on research and investigation. Conclusions. The practical significance of the study lies in the fact that its findings and conclusions improve the training in the development of competence of students of physics and mathematics specialities using information technology in educational activities.

Vizuelizacija putem informacionih tehnologija u nastavi matematike

In this paper we deal with the principle of visualization through the application of information technology in mathematics teaching. The aim is to show the importance of the application of information technology with the intention of achieving the principle of visualization. First, the epistemological significance of the visualization principle is determined. Second, the realization of the principle of visualization in mathematics teaching was analyzed. Third, relevant research that connects the application of information technology in mathematics teaching with the principle of visualization is presented and discussed. Based on previous theoretical and empirical knowledge, it was concluded that the application of information technology in the teaching of mathematics achieves effective knowledge in students, and that within the same through visualization in students can stimulate arithmetic, algebraic and geometric intuition.

MATHEMATICAL SUPPORT OF THE INTELLIGENT INFORMATION SYSTEM OF ASSESSING THE OBJECT STATE

At present, information technologies (IT) are intensively used all over the world in various sectors, and today medical institutions cannot do without them when organizing the process of medical diagnostic. The IT efficiency is determined by the degree of their intellectualization that is by including knowledge bases as their component and by the transition from data processing to the processing of knowledge. The efficiency of making decisions in various areas of activity is determined by the quality and quick delivery of information. Medicine constitutes no exception in this sense. The advanced level of computer technology, applied tools, diagnostics on the basis of automated systems of decision support made it possible to solve the tasks of assessing the state of the object at a qualitatively new level. The subject matter of this study is to ensure the mathematical support of the intelligent information system (IS) of assessing the state of the object. The object is understood as a patient who came through a myocardial infarction (MI). The goal of the study is to develop mathematical support of the intelligent IS of assessing and predicting a patient’s condition. To achieve the stated goal, the following tasks were solved: statistically valid and uncorrelated signs were specified; these signs enable distinguishing the group of patients who survived from those who died, “decisive rules” were formulated for predicting the MI clinical outcome. In the process of the study, the mathematical IT of assessing the state of the object was developed. The following result was obtained: the suggested mathematical models for predicting the outcome of myocardial infarction that were developed with the use of the method of discriminant function and took into account human blood values can prevent sudden coronary death and improve the diagnostic efficiency. Conclusions. Mathematical models were developed to predict the state of the object in the event of uncertainty. The use of the developed mathematical models enables improving the accuracy of predicting the state of the object in a real-time environment and in the early stages of the disease development by 4.2% and 10%, and applying adequate preventive and therapeutic and rehabilitation measures in time as well as preventing sudden coronary death. The developed mathematical models were tested.

Predictors of Information Technology Integration in Secondary Schools: Evidence from a Large Scale Study of More than 30,000 Students.

The present study examined the predictors of information technology (IT) integration in secondary school mathematics lessons. The predictors pertained to IT resource availability in schools, school contextual/institutional variables, accountability pressure faced by schools, subject culture in mathematics, and mathematics teachers’ pedagogical beliefs and practices. Data from 32,256 secondary school students from 2,519 schools in 16 developed economies who participated in the Program for International Student Assessment (PISA) 2012 were analyzed using hierarchical linear modeling (HLM). Results showed that after controlling for student-level (gender, prior academic achievement and socioeconomic status) and school-level (class size, number of mathematics teachers) variables, students in schools with more computers per student, with more IT resources, with higher levels of IT curricular expectations, with an explicit policy on the use of IT in mathematics, whose teachers believed in student-centered teaching-learning, and whose teachers provided more problem-solving activities in class reported higher levels of IT integration. On the other hand, students who studied in schools with more positive teacher-related school learning climate, and with more academically demanding parents reported lower levels of IT integration. Student-related school learning climate, principal leadership behaviors, schools’ public posting of achievement data, tracking of school’s achievement data by administrative authorities, and pedagogical and curricular differentiation in mathematics lessons were not related to levels of IT integration. Put together, the predictors explained a total of 15.90% of the school-level variance in levels of IT integration. In particular, school IT resource availability, and mathematics teachers’ pedagogical beliefs and practices stood out as the most important determinants of IT integration in mathematics lessons.

A Blended Learning Solution and the Impacts on Attendance and Learning Outcomes

Blended learning based on lecture videos and face-to-face teaching provides good opportunities for students for participation in education, regardless of time or place. The article describes a blended learning solution that is based on face-to-face teaching and the use of streaming lecture videos as it has developed in connection with master studies in mathematical information technology. The particular focus of this article is on the use of lecture videos and the impacts of blended learning on participation in education and on learning outcomes. According to the results, lecture videos have become very popular among students. Moreover the use of lecture videos increases participation activeness, and the increase in participation has a positive impact on completion of courses. However, the use of lecture videos does not seem to have any clear-cut effect on grades obtained.

Integration of Modern Information Technologies and Mathematics Teaching

The application of information technology in mathematics teaching has been a main direction in mathematics course reform all over the world. The paper expounds the methods of integrating the modern information technology and mathematics teaching, discusses the value and principles of the integration of the two, and proposes the questions that should be paid attention to at the end of the paper. The increasing mature of information technologies and its wide application influence people’s living and learning method profoundly. Since modern information technology can transmit information on the network, and information is displayed in various ways and is stored conveniently, the value, goal contents and learning methods of mathematics education are influenced by it. Therefore, the integration of modern information technologies and mathematics teaching is the key element related to the improvement of college teachers’ information abilities.

Correlation analysis among single trials through frequency-domain EEG model for raw recordings and wavelet filtered MMN

Event Abstract Back to Event Correlation analysis among single trials through frequency-domain EEG model for raw recordings and wavelet filtered MMN Fengyu Cong1*, T. Ristaniemi1 and H. Lyytinen2 1 Department of Mathematical Information Technology, University of Jyväskylä, Finland 2 Department of Psychology, University of Jyväskylä, Finland In the research of event-related potentials (ERPs), the single-trial study has become more and more attractive. This contribution is denoted to analyze the correlation among single trials through the frequency-domain EEG model for ERPs. It is interesting to compare such a correlation from the raw recordings and the wavelet filtered signal. Naturally, higher signal-to-noise ratio and better temporal structure of recordings should correspond to higher correlation. An auditory ERP, mismatch negativity (MMN), is taken as an example, but the method in this study is not limited to MMN. In the current experiment with 102 children MMN was elicited by two auditory deviants. Four children’s data were excluded due to too severe noise. With Electro-Cap International 20-electrode cap 350 trials of each deviant were recorded at C3,C4, Cz, F3, F4, Fz, Pz, M1 and M2 electrodes. Each trial last 650ms and the sampling rate was 200Hz. Usually, single-trial recordings are noisy and not well structured in ERPs experiments, moreover, ERP is time-locked, and hence these drive us to use the wavelet filter to remove noise and interferences. Reverse biorthogonal 6.8 wavelet and 7 levels were utilized for the decomposition, and coefficients of D4, D5, and D6 were adopted to reconstruct the desired signal under this wavelet. The raw recordings and wavelet filtered signals were transformed into the frequency-domain. We constructed a new complex-valued vector at each frequency bin, and the variable for the vector was the trial, then the frequency-domain EEG model was formulated. In our study this vector had 350 elements. As a result, the correlation between the real and imaginary parts reflects the correlation among trials. For each subject, the correlation coefficient was averaged over channels, deviants, and frequency bins within the optimal frequency band of MMN (2-8.5Hz). The grand averaged correlation coefficients over all subjects for the raw recordings and wavelet filtered signals were 0.178. and 0.365, respectively. The statistical tests among the two groups of correlation coefficients were F(1,97)=5966.0, P<0.000. This means that the difference was significant. In this study, the correlation among single trials was exploited in the frequency domain. In the raw recordings, the correlation was very small. After some noise and interferences were removed by the wavelet filter, the correlation became much higher. This implies that the quality of recordings has been improved by the wavelet filter. The correlation coefficient defined in this study would be a new parameter to qualify recordings in the ERPs experiment and data processing methods for EEG. Conference: MMN 09 Fifth Conference on Mismatch Negativity (MMN) and its Clinical and Scientific Applications, Budapest, Hungary, 4 Apr - 7 Apr, 2009. Presentation Type: Poster Presentation Topic: Poster Presentations Citation: Cong F, Ristaniemi T and Lyytinen H (2009). Correlation analysis among single trials through frequency-domain EEG model for raw recordings and wavelet filtered MMN. Conference Abstract: MMN 09 Fifth Conference on Mismatch Negativity (MMN) and its Clinical and Scientific Applications. doi: 10.3389/conf.neuro.09.2009.05.093 Copyright: The abstracts in this collection have not been subject to any Frontiers peer review or checks, and are not endorsed by Frontiers. They are made available through the Frontiers publishing platform as a service to conference organizers and presenters. The copyright in the individual abstracts is owned by the author of each abstract or his/her employer unless otherwise stated. Each abstract, as well as the collection of abstracts, are published under a Creative Commons CC-BY 4.0 (attribution) licence (https://creativecommons.org/licenses/by/4.0/) and may thus be reproduced, translated, adapted and be the subject of derivative works provided the authors and Frontiers are attributed. For Frontiers’ terms and conditions please see https://www.frontiersin.org/legal/terms-and-conditions. Received: 25 Mar 2009; Published Online: 25 Mar 2009. * Correspondence: Fengyu Cong, Department of Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland, fengyu.cong@aliyun.com Login Required This action requires you to be registered with Frontiers and logged in. To register or login click here. Abstract Info Abstract The Authors in Frontiers Fengyu Cong T. Ristaniemi H. Lyytinen Google Fengyu Cong T. Ristaniemi H. 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