Teaching Mathematics Research Articles

METHODS OF TEACHING MATHEMATICS IN PRIMARY CLASSES

METHODS OF TEACHING MATHEMATICS IN PRIMARY CLASSES

Investigating in-service teachers’ STEM literacy: the role of subject background and gender

ABSTRACT Background STEM literacy has increasingly become a significant educational goal worldwide. Teachers’ STEM literacy is of utmost importance in mediating students’ learning. Although many teacher preparation programs are being structured to accommodate the changing educational landscape there is still limited understanding of how teachers engage with STEM. Purpose The purpose of this paper was to provide a comprehensive framework for tracing teachers’ STEM literacy which can be adapted for empirical investigations. The paper provided both a theoretical framework which consists of STEM knowledge, ability and attitudes and a methodological approach for tracing teachers’ STEM literacy. Sample This study was conducted with 97 compulsory education teachers (48% female) in China. Overall, 66.0% of the participants taught science in primary and secondary school, 16% taught technology and 17% taught mathematics. Design and methods The study was guided by two research questions: (a) What were the relationships between the elements of in-service teachers’ STEM literacy? (b) What differences, if any, were there in in-service teacher’ STEM literacy in terms of their subject background and gender? A pilot study confirmed the validation and reliability of the research tool. A series of t-tests and analyses of variance were performed to identify the status quo and any significant differences in teachers’ STEM literacy. Pearson Correlation analysis was conducted to measure the strength of the relationships between each two variables. Conclusions The results suggested that the Teachers’ STEM Literacy Survey was valid and reliable for examining teachers’ STEM literacy and indicated (a) teachers performed well in the discipline knowledge (especially in scientific knowledge), but problem-solving ability (PSA) and STEM career interest (CI) were limited; (b) gender differences existed in teachers’ self-efficacy to PSA. Mathematics teachers had relatively lower confidence in PSA and (c) CI might have no correlation with teachers’ understanding of STEM knowledge and STEM ability.

METHODS OF TEACHING MATHEMATICS TO PRIMARY CLASSES AND METHODS OF USING NON-TRADITIONAL - UNUSUAL METHODS IN THE LESSON PROCESS.

METHODS OF TEACHING MATHEMATICS TO PRIMARY CLASSES AND METHODS OF USING NON-TRADITIONAL - UNUSUAL METHODS IN THE LESSON PROCESS.

Encountering ideas about teaching and learning mathematics in undergraduate mathematics courses

We study the ideas about teaching and learning mathematics that undergraduate students generate when they encounter tasks designed to embed approximations of teaching practice in mathematics courses taken by a general population of students. These tasks attend to the dual goals of developing an understanding of mathematics content and an understanding of how teachers provide classroom experiences that foster mathematics learning. The study employs a qualitative, multiple-case study methodology, with four cases bounded by the content areas of abstract algebra, single variable calculus, discrete mathematics, and introductory statistics. The data for the study come from undergraduate students’ written work on mathematical tasks, interviews with a subset of students from each course, and interviews with each instructor throughout the term during which they implemented the tasks. Our findings indicate that students identified the broad applicability of teaching skills (discussed by 32 of the 61 interviewed students), recognized the value of examining hypothetical learners’ mathematical work (discussed by 59 of the 61 interviewed students), and reported empathy for hypothetical learners (discussed by 38 of the 61 interviewed students). These findings persisted across the course content and course levels we studied, leading us to conclude that our findings can transfer to additional mathematics courses in secondary mathematics teacher preparation.

Teaching and Learning Mathematics in Primary Education: The Role of ICT-A Systematic Review of the Literature

Nowadays, ICT play a fundamental role in education, as they are essential in all areas of knowledge at any educational stage. Specifically, in the area of mathematics, within the Primary Education stage, they are also very valid resources. This is demonstrated by the latest scientific studies. In recent times, the scientific literature has provided evidence of all this through different research studies. The aim of this paper is to analyze all those publications that deal with the teaching–learning processes of mathematics through ICT in primary education. The aim is to show the current state of the scientific literature and what elements and aspects to highlight are common to the documents analyzed. By means of the systematic literature review method, we analyzed 11 articles indexed in Scopus and the Web of Science, with the result that the use of ICT in this area is still scarce, as the volume of publications in this respect is very low. This could also indicate a prevalence of traditional methodologies associated with the teaching of mathematics that could hinder students’ acquisition of mathematical competence. However, those studies that show the use of ICT demonstrate that its use leads to an improvement in performance, motivation, and problem solving.

Mathematics student personas for the design of technology-enhanced learning environments

To benefit from the quickly expanding range of new possibilities of technology-enhanced education, school systems, schools, and teachers need to adapt quickly. Conversely, the needs of students and teachers in a technology-enhanced classroom require technology developers to provide and improve suitable technologies. In this paper, we aim to show how to make the professional knowledge of mathematics teachers accessible to developers of technologies and also to teacher trainers and trainees by the use of student personas, i.e., portraits of archetypical students with particular characteristics and needs. We have collected qualitative data from pre-service and in-service mathematics teachers in Austrian academic upper secondary schools about the characteristics and needs of their students. We have analysed these data using a grounded theory approach to derive demands of students on technology-enhanced learning environments (TELEs). We have identified and presented five personas, each with specific demands on TELEs, to represent this target group. By introducing this approach that combines techniques from mathematics education research and from user experience research, we are able to represent user groups of a mathematics technology-enhanced learning environment in a more relatable way than was previously possible. These relatable representations of students in Austrian academic upper secondary schools could be of particular importance for developers of technology-enhanced learning environments for teaching and learning mathematics. The methodology presented in this paper is adaptable to other contexts.

Gender Differences in the Use of GeoGebra and Grapes in Teaching Mathematics in Secondary Schools in Kenya.

This study was carried out to examine the gender differences in academic achievement in mathematics by use of Grapes and GeoGebra graphing softwares. The objective of the study was to establish whether the use of GeoGebra and Grapes can improve the performance in mathematics for both boys and girls. This study was guided by Technology Acceptance Model (Davis, 1989). Technology Acceptance Model (TAM) explains computer-usage behavior that relates to reasons why some people use computers and their attitudes towards them. This study adopted Solomon four group experimental research design. The respondents were selected using both stratified and simple random sampling. Data was collected through the use of students’ questionnaires, pre-test and post-test. Analysis of data was done using both descriptive and inferential statistics. For descriptive statistics, frequency tables and means were used. Anova and t-test were employed for the inferential statistics. The study found out that boys and girls had the same academic achievement when taught using Grapes and GeoGebra. It is recommended that the teaching and learning of mathematics should involve a lot of practical activities which engage both sexes of the learners equally throughout the lesson .This will make the learners to develop a lot of problem solving skills and critical thinking skills which required in mathematics.

Designing a flipped classroom instruction to improve plane geometry learning among pre-service teachers in Ghana

Teaching mathematics as a STEM subject in this 21<sup>st</sup> century must be challenging enough to inspire learning, especially in the basic schools. This also depends on the pedagogical content knowledge and skills of the teachers handling the subject. Therefore, there is a need to design modern instructional strategies for training future teachers handling the pupils at the primary schools. Flipped classroom approach is one of the emerging pedagogical strategies that has proven to be very efficacious in teaching almost all subjects. Therefore, this research aimed to investigate the impact of flipped classrooms as a pedagogy in equipping the pre-service teachers with the knowledge and concepts of plane geometry, which happens to be one of the main branches of mathematics. A sample of 101 basic school pre-service teachers was purposively sampled for the study. A pre- and post-test design were used to gather quantitative data for analysis using a quasi-experimental approach. Based on the analysis of the results, the null hypothesis was rejected since there was a statistically significant difference in the pre-service teachers’ performance before and after the intervention. The study concluded that there was an improvement in performance due to the intervention. Therefore, the researcher recommends the flipped classroom approach as a formidable pedagogy for teaching pre-service teachers.

De Malba Tahan a Mello e Souza: a construção de uma identidade (1923-1938)

Abstract This article aims to establish the parallels between the changes that occurred at the end of the 1920s concerning teaching mathematics in Brazil and the fictional production of Júlio Cézar de Mello e Souza (Malba Tahan). The period chosen for analysis is circumscribed between the beginning of the 1920s and the publication of O homem que calculava in 1938. It is assumed that Malba Tahan appears before the writer Mello e Souza, which means an “Arab” writer. The process of identification with the pseudonym was gradual. There were doubts about the authorship at the time of the publication of the first short stories. In 1938, it was already known to everyone that Malba Tahan was the pseudonym of Mello e Souza. Therefore, we intend to work with two aspects. One focuses on how Mello e Souza has positioned himself as a fiction writer. The other consists of his activity as an educator and the reflections in his fictional production, especially in the work O homem que calculava. Both start from the assumption that there was a process of identity construction before the public.

STAVOVI STUDENATA O KVALITETU ONLAJN NASTAVE MATEMATIKE TOKOM PANDEMIJE KOVIDA 19

After the outbreak of the COVID-19 pandemic, higher education insti- tutions all around the world were forced to switch from face-to-face to online and hybrid model of teaching. The issue of the quality of such teaching arose at universities. Given that, even under normal conditions, learning mathematics represents a challenge for stu- dents, we wanted to examine the attitudes and experience of students regarding teaching mathematics in an online environment. The aim of the research was to determine how students of non-mathematical faculties evaluate the quality of mathematics teaching in an online environment at higher education institutions in the Republic of Serbia during the COVID-19 pandemic. The research sample included 224 undergraduate students of seven faculties/departments of three state and one private university. Regardless of the fact that neither teachers nor students were prepared for the organization of online mathematics classes at the time of the COVID-19 pandemic outburst, the obtained research results confirm the good quality of teaching. Students recognize the quality of the organization of online mathematics classes in terms of well-prepared teaching materials in digital forms, as well as of good communication and interaction with teachers. We believe that this re- search can be a significant starting point for some further studies that could examine the connection between attitudes of students about the quality of mathematics teaching and their mathematical achievements. The obtained results can also be used in the context of preparing and planning training of both teachers and students, for the application of new technologies in the teaching process.

Strategies for Inculcating Gender Equity in Mathematics Classrooms for Enhancement of Learners’ Problem-Solving Skills.

The report released in 2022 by United Nations Educational, Scientific, and Cultural Organization (UNESCO) shows that globally, female enrolment is at least 88% at primary and secondary school levels. The 88% is an indicator of good progress in gender equality in education. Of concern, however, is gender equity in Mathematics classrooms. Internationally set goals, Education For All (EFA) Goal 5, Millenium Development Goals (MDGs) Goal 3 and Sustainable Development Goals (SDGs) Goal 4, all focus on gender equity. This study aims to raise awareness about strategies and practices for gender equity in teaching and learning Mathematics. The study uses inclusion and exclusion criteria, a literature review, and empirical data analysis. Evidence suggests that gender equity in Mathematics improves critical thinking skills and increases gender balance in Mathematics education. The researchers recommend further study on strategies for integrating gender equity in Mathematics classrooms.

The Use of Gamification in Teaching and Learning Mathematics: A Meta-Synthesis

The Use of Gamification in Teaching and Learning Mathematics: A Meta-Synthesis

Potential of ChatGPT in Teaching and Learning Mathematics in Vietnamese High Schools

Potential of ChatGPT in Teaching and Learning Mathematics in Vietnamese High Schools

ПСИХОЛОГО-ПЕДАГОГИЧЕСКИЕ УСЛОВИЯ ФУНКЦИОНИРОВАНИЯ ГИБРИДНОЙ ИНТЕЛЛЕКТУАЛЬНОЙ СИСТЕМЫ ОБУЧЕНИЯ МАТЕМАТИКЕ В СТАРШЕЙ ШКОЛЕ

The article examines the characteristics of the psychological and pedagogical conditions required for the functioning of the hybrid intellectual system of teaching (HIST) mathematics in high school. The article describes such internal conditions related to the development and primary trial of the HIST as the methodological basis of the intellectual management of educational and cognitive activity of students in general and the research and project activities in particular, the identification of the personalized parameters of the high school students’ scientific potential which determines the teaching content, the development of such diagnostic tools that can take the students’ individual psychological characteristics into account and serve as a component of intellectual management in the mathematical modelling of research activities, the development of the procedures and the methods of creating individual educational routes that are based on the students’ types of thinking. These conditions determined the architecture and functions of the hybrid neural network. The trial experiment on the internal conditions of the functioning of HIST involved 711 high school students. The results of the trial study indicate a steady annual increase in the number of students in experimental groups who get high scores, which is connected with an in-depth study of mathematics within the framework of the student's educational and research activities aimed at acquiring complex mathematical knowledge with the help of a hybrid intellectual system. The obtained results confirmed the effectiveness of the intelligent management system of the students' research and project activities. It was found that the external conditions, i.e. the readiness of the participants of the research and project activities to use the HIST, is not unimportant for its successful implementation. Consequently, the effectiveness of the hybrid intelligent learning system is determined not only by the readiness of the teachers, but also by the motivational and technological readiness of high school students to carry out research and project activities in a hybrid learning environment.

Effects of Formative Assessment Tools on Secondary School Students’ Achievement in Mathematics in Rwanda, A Case of Kayonza District

Background: Promoting Science and technology is one of main long term objectives and tasks of Rwanda. Promotion of Science and technology depends on mathematics worldwide. To know the level of students’ performance in Mathematics and how to improve it, the assessment of students in form of summative and formative is the best predictor of Academic achievement in Mathematics. This current study sets out to explore the effect of formative assessment tools on students’ academic achievement in Mathematics in Kayonza District. This research aimed at exploring the formative assessment tools that are currently used in teaching and learning mathematics, assessing the factors that influence secondary school learner’s low performance in mathematics and exploring the effects of formative assessment tools on secondary school students’ achievement in mathematics. Materials and Method: The study adopted a mixed research design using both qualitative and quantitative approaches. A sample size of 95 respondents were drawn from a target population of 1851, it was calculated using Slovin’s formula. Purposive, stratified and simple random sampling techniques were used to select 95 respondents from 1851. Questionnaire and Interview as well as documentary tools were used to collect both primary data. Data was cleaned, coded, entered and analyzed using Statistical Package for Social Science (SPSS, Version 21.0). Quantitative data was analyzed using frequencies, percentages, descriptive statistics (means and standard deviations) while Qualitative data was analyzed in narrative way. SPSS was used because it is fast and flexible and provides more accurate analysis resulting in dependable conclusions. Results: Quantitative findings revealed that coursework, teachers’ observations, group/class work and test assignments were used by the teachers at in secondary schools at Kayonza District. However, the results showed that teacher respondents agreed that fear towards mathematics (strong mean of 4.29), high number of students per classroom (mean= 3.98) and low level of teachers’ training (Mean=4.99) as well as lack of science culture among students (Mean= 3.78) were the leading factors to low performance in mathematics in secondary schools in Kayonza District. The study findings further indicated use of group discussions to enhance students’ enactment and scoring, student’s participation in mathematics duties/tasks through observations and group work encourages peer learning affect positively the students; performance in Mathematics in Kayonza District. Using Pearson correlation coefficient, the results revealed that one-unit increment in using formative assessment tool led to 0.791 increase in learners’ academic performance in mathematics in 12 secondary schools in Kayonza District. Conclusion: In line with the findings and the conclusions emerging from the study, the following recommendations are made to the teachers, school staff and District as well as Ministry of Education (MINEDUC): Teachers should therefore plan carefully for mathematics quizzes, homework and end term mathematics tests to increase students’ motivation to learn mathematics. In addition, it is recommended to the school staff, the district and MINEDUC to evaluate teachers regularly because evaluation is an obvious vehicle for using incentives to direct the teachers on the path towards professional growth and improvement

Early Childhood Mathematics Education Research: Overview of Latest Developments And Looking Ahead

In the present study, we provide an overview of the research in the field of early childhood mathematics education and identify the latest advances, new perspectives and gaps in the literature between 2012 and 2022. On the basis of our review of the international research literature published during this time span, in this paper we focus on five major themes of contribution: young children’s number sense abilities and development, geometry education in early childhood, children’s competencies in other content domains, teaching and learning mathematics in early grades with technology-integrated activities and early childhood teachers’ knowledge, education and affective issues in mathematics. For each theme relevant research is discussed and directions for future research are provided.

Digital Interactive Collaboration in Mathematical Practices of Management System

Recent trends of mathematics education using the open and distance mode was more effective recent and useful. The theoretical framework was the full of the paradigm shift of the recent mode and relevant of the system. I have taught in the Operations Research in the online education and make the effective idea of the education. The pedagogy of the education in the methodology, groups of students in the schools. The different mode of student was the mode of mathematics in the Game theory, Markov chains, Queuing theory, Dynamic programming, Transportation and Assessment programs. Inventory and Replacement model and Forecasting model are the beautiful aspect in the methods. The online methods were the better for the books. The online methods were the virtual classroom, online conceptual elaboration and technology integrated pedagogy in open and distance learning (ODL). It is suggested that LMS like Moodle is more effective in teaching and learning mathematics education using open and distance mode for higher education in Nepal.

METHODOLOGY OF TEACHING MATHEMATICS TO PRIMARY CLASSES AND METHODS OF USING NON-TRADITIONAL - UNUSUAL METHODS IN THE LESSON PROCESS

METHODOLOGY OF TEACHING MATHEMATICS TO PRIMARY CLASSES AND METHODS OF USING NON-TRADITIONAL - UNUSUAL METHODS IN THE LESSON PROCESS

Exploring the Effect of Constructivist Learning Approach on Pre-service Teachers Problem Solving Skills in Mathematics at Wiawso College of Education

This study aimed to explore the impact of constructivist learning approach to teaching and learning mathematics at Wiawso College of Education. The research design adopted for the study was action research The target population was level 200 students of the College and the population size was five hundred and seventy-nine (579) whilst the sample size was fifty-two (52), comprising one class, which was selected based on purposive sampling. The instrument used for the study was tests and questionnaire. In the pre-intervention stage, a pre-test was used to identify the weaknesses of the students before the interventional strategies were applied. A post-test was conducted to evaluate the intervention strategies. The results of the study showed a significant improvement in students’ post-test scores (M=31.1923) compared to the pre-test scores (M=14.1923). A quiz was conducted eight weeks after the post-test using the same test items to check students’ retention of the concept, which the result showed no significant improvement in pre-service teachers’ post-test scores (M=31.1923) compared to the quiz scores (M=30.6923), indicating pre-service teachers’ retention of the math concept had been exceptionally good. The pre-service teachers preferred constructivist learning strategies over the conventional teaching methods since lessons were practical and interactive. The study recommended that teachers should employ constructivist learning approach in teaching mathematics as it shifts the emphasis from teacher-centered to learner-centered and enhance students' interest and performance.

MATHNECT: Mathematics Motion Based Learning for Primary School

Courseware is now widely used in the process of learning and teaching, particularly at the primary school level and in mathematics classes. Students become less interested in learning mathematics because it involves abstract and complex concepts. Difficulty learning math is a profound and acknowledged difficulty among students throughout the generations. The way of teaching and learning mathematics has remained relatively the same in our education system. Students are unable to provide their entire focus in class because of the current educational system, which is sometimes boring and relies solely on the whiteboard as a medium of instruction. However, with today's technological advancements, this problem may be overcome. It can be used to enhance the current educational system by utilizing current technology. One of them is Kinect, this device is a motion-tracking technology that allows users to interact with applications by moving their bodies. The main objective of this Mathnect is to develop a motion-based learning environment by utilizing Kinect technology as a learning aid to improve student concentration and attention in mathematics class. This project is developed using a methodology ADDIE. The methodology of analysis employed in this phase, which includes content analysis, should be focused on the compatibility of the content and the target users. The game will be focusing on teaching simple mathematics number, which it will cover on basic numbers among primary school students. Thus, by implementing this project in primary schools, our educational environment can be improved to produce new adaptive learning methods. This Mathnect is beneficial for educators, students, and parents to be used in the classroom and can also be used for self-based learning. As a result, students will not be bored in the classroom at any time.