Search results for: critical mathematics education

Authors: Nora Gavira Duron, Cinthya Moreda Gonzalez-Ortega, Reyna Susana Garcia Ruiz

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This paper objective is to analyze the mathematics performance in the Learning Evaluation National Plan (PLANEA for its Spanish initials: Plan Nacional para la Evaluación de los Aprendizajes), applied to Mexican students who are enrolled in the last elementary-school year over the 2017-2018 academic year. Such test was conducted nationwide in 3,573 schools, using a sample of 108,083 students, whose average in mathematics, on a scale of 0 to 100, was 45.6 points. 75% of the sample analyzed did not reach the sufficiency level (60 points). It should be noted that only 2% got a 90 or higher score result. The performance is analyzed while considering whether there are differences in gender, marginalization level, public or private school enrollment, parents’ academic background, and living-with-parents situation. Likewise, this variable impact (among other variables) on school performance by gender is evaluated, considering multivariate logistic (Logit) regression analysis. The results show there are no significant differences in mathematics performance regarding gender in elementary school; nevertheless, the impact exerted by mothers who studied at least high school is of great relevance for students, particularly for girls. Other determining variables are students’ resilience, their parents’ economic status, and the fact they attend private schools, strengthened by the mother's education.

Keywords: multivariate regression analysis, academic performance, learning evaluation, mathematics result per gender

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Authors: Ramu Rawat

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Background: This paper is an effort to analyze the role of education and occupation as critical determinants in using smokeless tobacco among male adults in India and its selected states. Methodology: Global Adult Tobacco Survey (GATS) India 2009-10 data have been used for this study. Bivariate and Multivariate (Cox proportion hazards model) analyses are carried out to measure the impact of education and occupation on use of smokeless tobacco among male adults in India. Results and Conclusion: The study evidently suggests that, majority of Indian male adults are using Khaini and Gutkha (local names for smokeless tobacco). The analysis also shows that education and occupation are two important critical predictors of use of smokeless tobacco. The males at younger age with no or little education from rural area use smokeless tobacco more than their counterpart group from urban areas. This distinction can be attributable to their lack of knowledge or ignorance about the consequences of tobacco consumption. Place of residence played significant role for declining use of smokeless tobacco along with the effect of society. Society awareness about harmful effects of smokeless tobacco with local level government may play important role for controlling the use of any type of tobacco or tobacco products in India.

Keywords: smokeless tobacco, male, Khaini, education, occupation

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Authors: Mubina Rauf

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Critical thinking is a highly valued outcome of university education. There is an agreement in literature that it is demonstrated through the abilities to highlight issues and assumptions, find links between ideas and concepts, make correct inferences, evaluate evidence or authority and deduce conclusions (Tsui, 2002). Although Critical thinking plays a significant role in developing all academic skills, its role in developing writing skills is significant (Kurfiss, 1988). SAW (student academic writing) is an observable output of critical thinking (Wilson K. , 2016). When students apply critical thinking to their writing, they present clear, accurate, significant and logical arguments constructing their own voice in the form of an essay or dissertation (Matsuda, 2001). This presentation will show how a rubric can be used to find evidence of critical thinking in SAW. Participants will experience how evidence-based written arguments supported by background knowledge and authorial voice can develop students into efficient critical thinkers. Participants will have an opportunity to use the rubric to find the evidence of critical thinking in SAW samples. This presentation is intended for classroom teachers with or without the basic knowledge of implementing critical thinking in academic settings. Participants will also learn tips how various features of critical thinking can be developed among students. After the session, the participants will be able to use or adapt the rubric according to their needs to find evidence of critical thinking in SAW within their context.

Keywords: critical thinking, Rubric, student academic writing, argumentation, text analysis

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Authors: Liman Zhao, Jianlong Zhang, Mingman Ren, Chuang Wang, Jian Liu

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Rural migrant children have become a fast-growing population in China as a consequence of the large-scale population flow from rural to urban areas in the context of urbanization. In China, the socioeconomic status of migrant children is relatively low in comparison to non-migrant children. Parents of migrant children often work in occupations with long working hours, high labor intensity, and low pay due to their poor academic qualifications. Most migrant children's parents have not received higher education and have no time to read with their children. The family of migrant children usually does not have a good collection of books either, which leads to these children’s insufficient reading and low reading levels. Moreover, migrant children frequently relocate with their parents, and their needs for knowledge and reading are often neglected by schools, which puts migrant children at risk of academic failure in China. Therefore, the academic achievement of rural migrant children has become a focus of education in China. This study explores the relationship between the educational expectation of rural migrant children and their critical reading competence in general and the moderating effect of the difference between parental educational expectation to their children and the children’s own educational expectation. The responses to a survey from 5113 seventh-grade children in a district of the capital city in China revealed that children who moved to cities in grades 4-6 of primary school performed the best in critical reading, and children who moved to cities after middle school showed the worst performance in critical reading. In addition, parents’ educational expectations of their children and their own educational expectations were both significant predictors of rural migrant children’s reading competence. The higher a child's expectations of a degree and the smaller the gap between parents' expectations of a child's education and the child's own education expectations, the better the child's performance in critical reading.

Keywords: educational expectation, critical reading competence, rural migrant children, moderating effect

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Authors: Oginni Omoniyi Israel

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This study evaluated the implementation of public examination Chief Examiners’ Reports (CER) in mathematics curriculum contents in Ekiti State Senior Secondary schools, Nigeria. The study adopted a descriptive research design of survey type. The sample consisted of 60 mathematics teachers and 120 students using a multi-stage sampling procedure. The instruments used were “Questionnaire on Teachers Implementation of Chief Examiners’ Report and Mathematics Curriculum Contents (QTICERMCC) and Questionnaire on Students Knowledge of Chief Examiners’ Report and Mathematics Curriculum Contents Implementation (SIERMCC)”. The validity of the instruments was carried out by experts, while the reliability coefficients of 0.85 and 0.87 were obtained through Cronbach’s Alpha formula. The data collected were analysed using descriptive and inferential statistics. The findings revealed that there was a significant relationship between awareness, availability, and accessibility of CER as well as mathematics curriculum contents. There was also a significant relationship in the implementation of CER in mathematics between teachers and students. Based on the findings, it was recommended that the examination bodies should organize an enlightment programme annually to create awareness of the utilization of CER among the stakeholders.

Keywords: evaluation, implementation, chief examiners’ reports, curriculum contents

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Authors: Selahattin Gultekin

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Today, in engineering departments, mathematics courses such as calculus, linear algebra and differential equations are generally taught by mathematicians. Therefore, during mathematicians’ classroom teaching there are few or no applications of the concepts to real world problems at all. Most of the times, students do not know whether the concepts or rules taught in these courses will be used extensively in their majors or not. This situation holds true of for all engineering and science disciplines. The general trend toward these mathematic courses is not good. The real-life application of mathematics will be appreciated by students when mathematical modeling of real-world problems are tackled. So, students do not like abstract mathematics, rather they prefer a solid application of the concepts to our daily life problems. The author highly recommends that mathematical modeling is to be taught starting in high schools all over the world In this paper, some mathematical concepts such as limit, derivative, integral, Taylor Series, differential equations and mean-value-theorem are chosen and their applications with graphical representations to real problems are emphasized.

Keywords: applied mathematics, engineering mathematics, mathematical concepts, mathematical modeling

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Authors: Olaje Monday Olaje

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Science and technology has been prove to be the back bone for economic development of any country, and for Nigeria, it has more critical role to play. This paper examines the importance of science and technology education for national development and self dependence for Nigerian citizens. A historical overview of the interconnectivity of science and technology and self dependence is heighted. The current situation and challenges facing science and technology education are also highlighted to bring out the theoretical importance of science and technology education for self dependence which actually has not been practically achieved. Recommendations are also made at the of the study so as to skill acquisition through science and technology for self dependence.

Keywords: acquisition, education, self-dependence, science, technology

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Authors: Ibraheem Alzahrani

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The Saudi Arabia ministry of higher education has established 24 universities across various cities in the kingdom. The universities have the mandate of sustaining technological progress in both teaching and learning. The present study explores the statues of teaching in Saudi universities, focusing on biology, a critical curriculum. The paper explores biology teachers’ points of view is several Saudi higher education institutions through questionnaires disseminated via emails. According to the findings, the current teaching methods are traditional and the teachers believe that it is critical to change it. This study also, reviews how biology has been taught in the kingdom over the past, as well as how it is undertaken presently. In addition, some aspects of biology teaching are considered, including the biology curriculum and learning objectives in higher education biology.

Keywords: higher education, teaching style, traditional learning, electronic learning, web 2.0 applications, blended learning

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Authors: Chu Liu

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With the development of society and the changes of the times, the requirements for the cultivation of learners are different. In the 21st century, STEM education has become a boom in the development of education in various countries, aiming to improve the comprehensive ability of learners in science, technology, engineering, and mathematics. The rise of robot education provides an effective way for STEM education to cultivate computational thinking ability, interdisciplinary ability, problem-solving ability, and teamwork ability. Although robot education has been developed in China for several years, it still lacks a standard curriculum system. This article uses programming software as a platform, through the research and analysis of 'Basic Education Information Technology Curriculum Standards (2012 Edition)', combines with the actual learning situation of learners, tries to conduct teaching project design research, and aims at providing references for the teaching ideas and method of robot education courses. In contemporary society, technological advances increasingly require creativity. Innovative comprehensive talents urgently need a radical and effective education reform to keep up with social changes. So in this context, robot teaching design can be used for students. The tendency of creativity to influence is worth to be verified.

Keywords: STEM education, robot teaching, primary and secondary school students, tendency of creativity

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Authors: Areej Isam Barham

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Developing students’ number sense is an essential element in the learning of mathematics. Number sense is one of the foundational ideas in mathematics where students need to understand numbers, representing them in different ways, and realize the relationships among numbers. Number sense also reflects students’ understanding of the meaning of operations, how they related to one another, how to compute fluently and make reasonable estimates. Developing students’ number sense in the mathematics classroom requires good preparation for mathematics teachers, those who will direct their students towards the real understanding of numbers and its implementation in the learning of mathematics. This study describes the development of elementary prospective mathematics teachers’ number sense through a mathematics teaching methods course at Qatar University. The study examined the effect of using the Lesh model in enhancing mathematics prospective teachers’ number sense. Thirty-nine elementary prospective mathematics teachers involved in the current study. The study followed an experimental research approach, and quantitative research methods were used to answer the research questions. Pre-post number sense test was constructed and implemented before and after teaching by using the Lesh model. Data were analyzed using Statistical Packages for Social Sciences (SPSS). Descriptive data analysis and t-test were used to examine the impact of using the Lesh model in enhancing prospective teachers’ number sense. Finding of the study indicated poor number sense and limited numeracy skills before implementing the use of the Lesh model, which highly demonstrate the importance of the study. The results of the study also revealed a positive impact on the use of the Lesh model in enhancing prospective teachers’ number sense with statistically significant differences. The discussion of the study addresses different features and issues related to the participants’ number sense. In light of the study, the research presents recommendations and suggestions for the future development of mathematics prospective teachers’ number sense.

Keywords: number sense, Lesh model, prospective mathematics teachers, development of number sense

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Authors: Raiya Kishwar Ashraf

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The National University, the largest public educational institution in Bangladesh, recently made it mandatory for all students to study a course in Bangladesh‘s history of the 1971 Liberation War. This introduction was accompanied by massive political, financial and academic movement that allocated resources towards achieving greater awareness of the country‘s spirit, goals of liberation and patriotism among the youth. This study argues that the infrastructure and political economy around the course heavily politicizes the education system and more specifically the teaching and learning the process. By conducting a qualitative study in three affiliated colleges under the National University, this study aimed to explore the extent to which politicization affected higher education curriculum, especially history education in Bangladesh. The findings revealed significant levels of politicization and structural constraints present in the process that restricts the teacher and student engagement with course materials. The results of this study are useful for curriculum designers and higher education teachers and staffs who wish to develop content and deliver education that promotes critical inquiry among students. The findings further shed light on the importance of identifying and addressing political influences in education curriculum and programme development.

Keywords: Bangladesh higher education, critical thinking, curriculum politicization, history curriculum, National University, teaching-learning method

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Authors: Ugabi John Ibak, Odey Boniface Ugbem

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Education is considered the bedrock of any meaningful developments and teacher education plays a critical role in this direction. Teacher education is the master keys that can alleviate poverty, promote peace, conserve the environment, improve the quality of life for all and help achieve all round sustain enable development in Nigeria and the world over. This paper X-rays the nature and character of the teaching profession, historical background to teacher education in Nigeria, national policy on education, problems of teacher education in Nigeria and prospects of teacher education for sustainable national development. The study shows that the misfortunes of the teacher education owes much to it historical antecedent. Also majorly, is the failure of government to adequately fund education at the various levels in the country. It was discovered that in the history of the nation no government has budgeted 13% of its annual budget (half of 26% UNESCO minimum) to education. This has resulted to poor infrastructure, inadequate equipment and poorly motivated personnel in all the nations public schools at all levels. Hence, the paper concludes that in spite of these overwhelming challenges, teachers have a lot of prospects both in the teaching profession and outside teaching.

Keywords: teacher education, teaching profession, sustainable national development, education, development

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Authors: Solehah Yaacob

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The study focuses on revisiting the effectiveness of Critical Thinking in human mind capability as a major faculty in human life. The tool used as a measurement of this knowledge ability consists of several processes including experience and education background. To emphasize the `Overview` concept, the researcher highlights two major aspects of philosophical approach, they are; Divine Revelation Concept and Modern Scientific Theory. The research compares between the both parties to introduce the Divine Revelation into Modern Scientific theory. An analytical and critical study of the both concepts become the methodology of the discussion.

Keywords: critical thinking, knowledge, intellectual, language

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Authors: Brittany Joi B. Kirsch

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Textbooks carry a crucial role in imparting ideologies that stimulate inclusivity and social diversity. In the Philippines, a law on inclusive education (IE) for differently-abled learners has recently been signed in order to ensure their rights to quality and IE are protected and upheld (Republic Act No. 11650, 2022). With the presence of ableism in textbooks, the promotion of IE may be challenged. A considerable amount of research has been done on disability representation and ableism in foreign countries; however, none, to the extent of the researcher’s knowledge, has been conducted on ableist ideologies in primary education English language textbooks in the Philippines. Hence, this paper aims to investigate the negotiation of ableist ideologies in primary education English language textbooks in the Philippines. Utilizing Fairclough’s (1995) three-dimensional model of critical discourse analysis (CDA) as the framework, six prescribed primary education English language textbooks from different grade levels were analyzed to examine instances of ableism in the texts. To further support the analysis of the study, supplemental data were gathered from the accounts of six public elementary school English language teachers. Findings reveal that the textbooks contain ableist ideologies with a limited representation of differently-abled people; by disclosing them as (1) invisible, (2) equipped with negative abilities, and (3) plagued with delicate health. By identifying ableist ideologies in textbooks, educational institutions and publishers may benefit in assessing and reforming instructional materials to resolve the presence of such ideologies, thereby abiding by the country’s law on IE and strengthening its overall implementation.

Keywords: textbooks, ideologies, inclusive education, critical discourse analysis, ableism

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Authors: Sigrid Haukanes

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Implementation of democratic citizenship as a crossdisciplinary concept in educational practice has been problematic because of a vague and divided understanding of what the concept entails. This is underlined by a divide between understanding democracy as external to the educational sphere or understanding education as an internal part of a democratic society. This theoretical contribution aims to explore the concept of democratic citizenship in relation to Bildung perspectives. The methodology of this paper is grounded in a hermeneutical approach to interpret three philosophical perspectives from Immanuel Kant, John Dewey and Gert Biesta. These perspectives are chosen to explore democratic citizenship as: (1) an individual oriented concept, (2) a socially oriented concept and (3) a critical-social oriented concept. This theoretical paper argues that different orientations toward Bildung change the content of democratic citizenship as a cross-disciplinary concept in education. It argues that a Dewian or a Biestian notion could enrich our understanding of democratic citizenship, drawing on a critical-social perspective of Bildung.

Keywords: bildung, citizenship, democracy, education

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Authors: Michaela Vašková

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With the increasing dependence of countries on the critical infrastructure, it increases their vulnerability. Big threat is primarily in the human factor (personnel of the critical infrastructure) and in terrorist attacks. It emphasizes the development of methodology for searching of weak points and their subsequent elimination. This article discusses methods for the analysis of safety in the objects of critical infrastructure. It also contains proposal for methodology for training employees of security services in the objects of the critical infrastructure and developing scenarios of attacks on selected objects of the critical infrastructure.

Keywords: critical infrastructure, object of critical infrastructure, protection, safety, security, security audit

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Authors: Josephine Shamash, Stuart Smith

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We examine reasons for introducing definitions in teaching mathematics in a number of different cases. We try to determine if, where, and when to provide a definition, and which definition to choose. We characterize different types of definitions and the different purposes we may have for formulating them, and detail examples of each type. Giving a definition at a certain stage can sometimes be detrimental to the development of the concept image. In such a case, it is advisable to delay the precise definition to a later stage. We describe two models, the 'successive approximation model', and the 'model of the extending definition' that fit such situations. Detailed examples that fit the different models are given based on material taken from a number of textbooks, and analysis of the way the concept is introduced, and where and how its definition is given. Our conclusions, based on this analysis, is that some of the definitions given may cause discontinuities in the learning sequence and constitute obstacles and unnecessary cognitive conflicts in the formation of the concept definition. However, in other cases, the discontinuity in passing from definition to definition actually serves a didactic purpose, is unavoidable for the mathematical evolution of the concept image, and is essential for students to deepen their understanding.

Keywords: concept image, mathematical definitions, mathematics education, mathematics teaching

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Authors: Eugenia Vomvoridi-Ivanovic

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It is broadly assumed that participation in field experiences will help pre-service teachers (PSTs) bridge theory to practice. However, this is often not the case since PSTs who are placed in classrooms with large numbers of students from diverse linguistic, cultural, racial, and ethnic backgrounds (culturally diverse students (CDS)) usually observe ineffective mathematics teaching practices that are in contrast to those discussed in their teacher preparation program. Over the past decades, the educational research community has paid increasing attention to investigating out-of-school learning contexts and how participation in such contexts can contribute to the achievement of underrepresented groups in Science, Technology, Engineering, and mathematics (STEM) education and their expanded participation in STEM fields. In addition, several research studies have shown that students display different kinds of mathematical behaviors and discourse practices in out-of-school contexts than they do in the typical mathematics classroom since they draw from a variety of linguistic and cultural resources to negotiate meanings and participate in joint problem solving. However, almost no attention has been given to exploring these contexts as field experiences for pre-service mathematics teachers. The purpose of this study was to explore how participation in a community based after-school field experience promotes understanding of the content pedagogy concepts introduced in elementary mathematics methods courses, particularly as they apply to teaching mathematics to CDS. This study draws upon a situated, socio-cultural theory of teacher learning that centers on the concept of learning as situated social practice, which includes discourse, social interaction, and participation structures. Consistent with exploratory case study methodology, qualitative methods were employed to investigate how a cohort of twelve participating pre-service teacher's approach to pedagogy and their conversations around teaching and learning mathematics to CDS evolved through their participation in the after-school field experience, and how they connected the content discussed in their mathematics methods course with their interactions with the CDS in the after-school. Data were collected over a period of one academic year from the following sources: (a) audio recordings of the PSTs' interactions with the students during the after-school sessions, (b) PSTs' after-school field-notes, (c) audio-recordings of weekly methods course meetings, and (d) other document data (e.g., PST and student generated artifacts, PSTs' written course assignments). The findings of this study reveal that the PSTs benefitted greatly through their participation in the after-school field experience. Specifically, after-school participation promoted a deeper understanding of the content pedagogy concepts introduced in the mathematics methods course and gained a greater appreciation for how students learn mathematics with understanding. Further, even though many of PSTs' assumptions about the mathematical abilities of CDS were challenged and PSTs began to view CDSs' cultural and linguistic backgrounds as resources (rather than obstacles) for learning, some PSTs still held negative stereotypes about CDS and teaching and learning mathematics to CDS in particular. Insights gained through this study contribute to a better understanding of how informal mathematics learning contexts may provide a valuable context for pre-service teacher's learning to teach mathematics to CDS.

Keywords: after-school mathematics program, pre-service mathematical education of teachers, qualitative methods, situated socio-cultural theory, teaching culturally diverse students

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Authors: Helen Frialde-Dupale

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Critical thinking Index (CTI) of 150 third year college students from five State Colleges and Universities (SUCs) in Region I were determined. Only students with Grade Point Average (GPA) of at least 2.0 from four general classification of degree courses, namely: Education, Arts and Sciences, Engineering and Agriculture were included. Specific problem No.1 dealt with the profile variables, namely: age, sex, degree course, monthly family income, number of siblings, high school graduated from, grade point average, personality type, highest educational attainment of parents, and occupation of parents. Problem No. 2 determined the critical thinking index among the respondents. Problem No. 3 investigated whether or not there are significant differences in the critical thinking index among the respondents across the profile variables. While problem No.4 determined whether or not there are significant relationship between the critical thinking index and selected profile variables, namely: age, monthly family income, number of siblings, and grade point average of the respondents. Finally, on problem No. 5, the critical thinking instrument which obtained the lowest rates, were used as basis for outlining an intervention program for enhancing critical thinking index (CTI) of students. The following null hypotheses were tested at 0.05 level of significance: there are no significant differences in the critical thinking index of the third college students across the profile variables; there are no significant relationships between the critical thinking index of the respondents and selected variables, namely: age, monthly family income, number of siblings, and grade point average.

Keywords: attitude as critical thinker, critical thinking applied, critical thinking index, self-perception as critical thinker

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Authors: Ahmet Erdoğan, Şahin Kesici, Mustafa Baloğlu

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Information technologies have lead to changes in the areas of communication, learning, and teaching. Besides offering many opportunities to the learners, these technologies have changed the teaching methods and beliefs of teachers. What the Technological Pedagogical Content Knowledge (TPACK) means to the teachers is considerably important to integrate technology successfully into teaching processes. It is necessary to understand how to plan and apply teacher training programs in order to balance students’ pedagogical and technological knowledge. Because of many inefficient teacher training programs, teachers have difficulties in relating technology, pedagogy and content knowledge each other. While providing an efficient training supported with technology, understanding the three main components (technology, pedagogy and content knowledge) and their relationship are very crucial. The purpose of this study is to determine whether motivational beliefs and self-regulated learning strategies are significant predictors of mathematics teacher candidates' TPACK perceptions. A hundred seventy five Turkish mathematics teachers candidates responded to the Motivated Strategies for Learning Questionnaire (MSLQ) and the Technological Pedagogical And Content Knowledge (TPACK) Scale. Of the group, 129 (73.7%) were women and 46 (26.3%) were men. Participants' ages ranged from 20 to 31 years with a mean of 23.04 years (SD = 2.001). In this study, a multiple linear regression analysis was used. In multiple linear regression analysis, the relationship between the predictor variables, mathematics teacher candidates' motivational beliefs, and self-regulated learning strategies, and the dependent variable, TPACK perceptions, were tested. It was determined that self-efficacy for learning and performance and intrinsic goal orientation are significant predictors of mathematics teacher candidates' TPACK perceptions. Additionally, mathematics teacher candidates' critical thinking, metacognitive self-regulation, organisation, time and study environment management, and help-seeking were found to be significant predictors for their TPACK perceptions.

Keywords: candidate mathematics teachers, motivational beliefs, self-regulated learning strategies, technological and pedagogical knowledge, content knowledge

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Authors: Katerina Samartzi

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This study focuses on the teacher’s discourses in Greece, about the relation between the children and the media, concerning sex education and widely the childhood. The teachers’ input reflect the anxieties and the dominant discourses that exist around these issues. The study begins with the critical discussion of the available literature concerning the potential impact of media and the ‘moral panics’, their role in sex education and the children’s use of sexual material. Moreover, the study analyses the social construction of childhood and sexuality. Given the lack of explicit and official protocol for the sex education in Greece and due the fact that the young people are familiar with all the material provided by the New Media and their part as an informal education, this project aims to point out the factors that reinforce these gaps. This study focuses on the way the adults and specifically teachers contextualize the children’s relation with media, their sexuality, the sex education, the use of sexual material and the childhood.

Keywords: childhood, children's sexuality, media, moral panics, pornography, sex education

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Authors: Mihriban Hacisalihoğlu Karadeniz, Figen Bozkuş, Tuğba Baran, Ümit Akar

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Creating the correct symmetry of conceptual knowledge about students, conceptual information about the symmetry of the instructors is important. However, teachers’, the students should be aware of the existing misconceptions and be able to develop strategies to correct these misconceptions. In this study, the purpose, the prospective teachers’, the students’ explanations for corrections of misconceptions and misconceptions were asked to be introduced. The working group during the 2012-2013 academic year, Kocaeli University Faculty of Education Mathematics Education consists of studying at the twenty-six prospective teachers. The study adopted a qualitative approach. The data prepared by the researchers were obtained with an open-ended test. As a result of analysis of the data, prospective with teaching the concept of symmetry observed in more developed practical solutions. These solutions are focused on the method, students utilization mirrors, paper folding, such as using a square piece of registration of events. Prospective teachers’ who think this way, students observed that overlooked the creation of conceptual knowledge.

Keywords: symmetry concepts, misconceptions, elementary mathematics, prospective teachers-students

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Authors: Krishna Chandra Paudel

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This paper explores the association between the perceived classroom environment and mathematics learning and test anxiety among secondary level students in Nepal. Categorizing the students in three dominant variables- gender, ethnicity and previous schooling, and selecting sample students with respect to higher mathematics anxiety from five heterogeneous classes, the research explores disparities in student's mathematics cognition and reveals nexus between classroom environment and mathematics learning and test anxiety. This research incorporates social learning theory and social development theory as interpretive tool for analyzing themes through qualitative data. Focussing on the interviews with highly mathematics learning anxious students, the study sheds light on how mathematics anxiety among the targeted students is interlinked with multiple factors. The research basically exposes the students’ lack of mathematical passion, their association with other students and participation in classroom learning, asymmetrical content and their lack of preparedness for the tests as caustic factors behind such anxieties. The study further reveals that students’ lack of foundational knowledge and complexity of mathematical content have jointly contributed to mathematics anxiety. Admitting learning as a reciprocal experience, the study points out that the students’ gender, ethnicity and disparities in previous schooling in the context of Nepal has very insignificant impact on students’ mathematics anxiety. It finally recommends that the students who get trapped into the vicious cycle of mathematics anxiety require positive and supportive classroom environment along with inspiring comments/compliments and symmetrical course contents.

Keywords: anxiety, asymmetry, cognition, habitus, pedagogy, preparedness

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Authors: Daniela Velichová

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Plenty of ideas on how to adopt active learning methods in education are available nowadays. Mathematics is a subject where the active involvement of students is required in particular in order to achieve desirable results regarding sustainable knowledge and deep understanding. The present article is based on the outcomes of an Erasmus+ project DrIVE-MATH, that was aimed at developing a novel and integrated framework to teach maths classes in engineering courses at the university level. It is fundamental for students from the early years of their academic life to have agile minds. They must be prepared to adapt to their future working environments, where enterprises’ views are always evolving, where all collaborate in teams, and relations between peers are thought for the well-being of the whole - workers and company profit. This reality imposes new requirements on higher education in terms of adaptation of different pedagogical methods, such as project-based and active-learning methods used within the course curricula. Active learning methodologies are regarded as an effective way to prepare students to meet the challenges posed by enterprises and to help them in building critical thinking, analytic reasoning, and insight to the solved complex problems from different perspectives. Fostering learning-by-doing activities in the pedagogical process can help students to achieve learning independence, as they could acquire deeper conceptual understanding by experimenting with the abstract concept in a more interesting, useful, and meaningful way. Clear information about learning outcomes and goals might help students to take more responsibility for their learning results. Active learning methods implemented by the project team members in their teaching practice, eduScrum and Jigsaw in particular, proved to provide better scientific and soft skills support to students than classical teaching methods. EduScrum method enables teachers to generate a working environment that stimulates students' working habits and self-initiative as they become aware of their responsibilities within the team, their own acquired knowledge, and their abilities to solve problems independently, though in collaboration with other team members. This method enhances collaborative learning, as students are working in teams towards a common goal - knowledge acquisition, while they are interacting with each other and evaluated individually. Teams consisting of 4-5 students work together on a list of problems - sprint; each member is responsible for solving one of them, while the group leader – a master, is responsible for the whole team. A similar principle is behind the Jigsaw technique, where the classroom activity makes students dependent on each other to succeed. Students are divided into groups, and assignments are split into pieces, which need to be assembled by the whole group to complete the (Jigsaw) puzzle. In this paper, analysis of students’ perceptions concerning the achievement of deeper conceptual understanding in mathematics and the development of soft skills, such as self-motivation, critical thinking, flexibility, leadership, responsibility, teamwork, negotiation, and conflict management, is presented. Some new challenges are discussed as brought by introducing active learning methods in the basic mathematics courses. A few examples of sprints developed and used in teaching basic maths courses at technical universities are presented in addition.

Keywords: active learning methods, collaborative learning, conceptual understanding, eduScrum, Jigsaw, soft skills

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Authors: Fatimah Alsaleh, Glenda Anthony

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The practicum experience is a critical component of any initial teacher education (ITE) course. As well as providing a near authentic setting for pre-service teachers (PSTs) to practice in, it also plays a key role in shaping their perceptions and sense of preparedness. Nevertheless, merely including a practicum period as a compulsory part of ITE may not in itself be enough to induce feelings of preparedness and efficacy; the quality of the classroom experience must also be considered. Drawing on findings of a larger study of secondary and intermediate level mathematics PSTs’ sense of preparedness to teach, this paper examines the influence of the practicum experience in particular. The study sample comprised female mathematics PSTs who had almost completed their teaching methods course in their fourth year of ITE across 16 teacher education programs in Saudi Arabia. The impact of the practicum experience on PSTs’ sense of preparedness was investigated via a mixed-methods approach combining a survey (N = 105) and in-depth interviews with survey volunteers (N = 16). Statistical analysis in SPSS was used to explore the quantitative data, and thematic analysis was applied to the qualitative interviews data. The results revealed that the PSTs perceived the practicum experience to have played a dominant role in shaping their feelings of preparedness and efficacy. However, despite the generally positive influence of practicum, the PSTs also reported numerous challenges that lessened their feelings of preparedness. These challenges were often related to the classroom environment and the school culture. For example, about half of the PSTs indicated that the practicum schools did not have the resources available or the support necessary to help them learn the work of teaching. In particular, the PSTs expressed concerns about translating the theoretical knowledge learned at the university into practice in authentic classrooms. These challenges engendered PSTs feeling less prepared and suggest that more support from both the university and the school is needed to help PSTs develop a stronger sense of preparedness. The area in which PSTs felt least prepared was that of classroom and behavior management, although the results also indicated that PSTs only felt a moderate level of general teaching efficacy and were less confident about how to support students as learners. Again, feelings of lower efficacy were related to the dissonance between the theory presented at university and real-world classroom practice. In order to close this gap between theory and practice, PSTs expressed the wish to have more time in the practicum, and more accountability for support from school-based mentors. In highlighting the challenges of the practicum in shaping PSTs’ sense of preparedness and efficacy, the study argues that better communication between the ITE providers and the practicum schools is necessary in order to maximize the benefit of the practicum experience.

Keywords: impact, mathematics, practicum experience, pre-service teachers, sense of preparedness

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Authors: Manchari Paranthahan

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Higher education has often presented barriers to many communities as a result of its colonial roots. While higher education was initially created for white cis-males, student populations have become more diverse in the past few decades. Despite this increase in diversity, barriers like rising costs and hostile education settings continue to make higher education hard to access for certain demographics. These barriers and limitations are compounded for students who are intersectionality marginalized, such as Queer and Trans Black, Indigenous and People of Colour (QTBIPOC) Disabled students. As of 2021-2022, only 57.5% of the Canadian population between the ages of 25 - 64 held a college or university credential, with only 32.9% holding a bachelor’s degree or higher. In that same time frame, only 0.64% of the students who successfully completed a higher education program identified as transgender or nonbinary. QTBIPOC Disabled students experience diverse forms of oppression while navigating education systems, often preventing them from completing their education successfully. This research project will investigate the complex experiences of intersectional marginalization of QTBIPOC Disabled students in Canadian post-secondary education systems. Through this investigation, this research seeks to reimagine more inclusive and accessible education systems in Canada and beyond. The social and academic experiences of QTBIPOC Disabled students in education systems are largely absent from scholarly literature, speaking to their continued marginalization and erasure from academic discourses. The lack of representation for this community in academia reinforces the idea that there is no space for marginalized bodies in further education, a discriminatory belief that this research project aims to investigate and reframe with this project. This research study will be informed by Critical Race theory, Queer Theory and Critical Disability Theories. Through a blend of critical narrative ethnography and ethnodrama for my methodological framing. Using these methodologies will speak to the intersecting factors that impact the experiences that QTBIPOC Disabled students have in education systems while offering space to analyze and create new systems of learning that benefits all students.

Keywords: QTBIPOC, queer, disability, pedagogy

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Authors: Ana Breda, Catarina Cruz

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Daily, we face unpredictable events, often attributed to chance, as there is no justification for such an occurrence. Chance, understood as a source of uncertainty, is present in several aspects of human life, such as weather forecasts, dice rolling, and lottery. Surprisingly, humans and some animals can quickly adjust their behavior to handle efficiently doubly stochastic processes (random events with two layers of randomness, like unpredictable weather affecting dice rolling). This adjustment ability suggests that the human brain has built-in mechanisms for perceiving, understanding, and responding to simple probabilities. It also explains why current trends in mathematics education include probability concepts in official curriculum programs, starting from the third year of primary education onwards. In the first years of schooling, children learn to use a certain type of (specific) vocabulary, such as never, always, rarely, perhaps, likely, and unlikely, to help them to perceive and understand the probability of some events. These are keywords of crucial importance for their perception and understanding of probabilities. The development of the probabilistic concepts comes from facts and cause-effect sequences resulting from the subject's actions, as well as the notion of chance and intuitive estimates based on everyday experiences. As part of a junior summer school program, which took place at a Portuguese university, a non-formal learning experiment was carried out with 18 children in the 5th and 6th grades. This experience was designed to be implemented in a dynamic of a serious ice-breaking game, to assess their levels of probabilistic, critical, and creative thinking in understanding impossible, certain, equally probable, likely, and unlikely events, and also to gain insight into how the non-formal learning context influenced their achievements. The criteria used to evaluate probabilistic thinking included the creative ability to conceive events classified in the specified categories, the ability to properly justify the categorization, the ability to critically assess the events classified by other children, and the ability to make predictions based on a given probability. The data analysis employs a qualitative, descriptive, and interpretative-methods approach based on students' written productions, audio recordings, and researchers' field notes. This methodology allowed us to conclude that such an approach is an appropriate and helpful formative assessment tool. The promising results of this initial exploratory study require a future research study with children from these levels of education, from different regions, attending public or private schools, to validate and expand our findings.

Keywords: critical and creative thinking, non-formal mathematics learning, probabilistic thinking, serious game

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Authors: Araceli Martinez Ortiz, Gillian U Bayne, Solomon Abraham

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This paper describes research led by faculty from three American universities and four Ethiopian universities on the delivery of professional leadership development for early-career female Ethiopian university instructors in the Science, Technology, Engineering, and Mathematics (STEM) fields. The objective was to carry out a case study focused on the impact of an innovative intervention program designed to assist in the empowerment and leadership development related to teaching effectiveness, scholarly activity participation, and professional service participation by female instructors. This research was conducted utilizing a case study methodology for the weeklong intervention and a survey to capture the voices of the leadership program participants. The data regarding insights into the challenges and opportunities for women in these fields is presented. The research effort project expands upon existing linkages between universities to support professional development and research effort in this region of the world. Findings indicate the positive reception of this kind of professional development by the participating women. Survey data also reflects the educational technology and cultural challenges professional women in STEM education face in Ethiopia as well as the global challenges of balancing family expectations with career development.

Keywords: women, STEM education, higher education, Ethiopia

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Authors: Magda Silva

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This paper presents the empirical and the theoretical principles associated with the Duke in Brazil Summer Program. Using a sociocultural model and critical theory, this study abroad maximizes students’ ability to enrich language competence, intercultural skills, and critical thinking. The fourteen-year implementation of this project demonstrates the global importance of foreign language teaching as the program unfolds into real life scenarios within the cultures of distinct regions of Brazil; Cosmopolitan Rio, in the southeast, and rural Belém, northern Amazon region.

Keywords: study abroad, critical thinking, sociocultural theory, foreign language, empirical, theoretical

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Authors: Emily Toon

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Nurses play a critical role in the prevention of ventilator-associated pneumonia through the maintenance of endotracheal tubes and use of subglottic secretion drainage via subglottic suctioning endotracheal tubes. The purpose of this evidence based practice project is to develop a staff education program on subglottic suctioning endotracheal tubes for critical care nurses at Middlesex Health with the aim of determining and documenting increased knowledge and/or practice change. The setting included registered nurses within Middlesex Health’s critical care unit who were recruited to complete a pre-test (n=14), view a presentation, and complete a post-test (n=10). Average pre-test scores were compared to average post-test scores to determine an increase in knowledge and/or practice change. The overall mean pre-test score was 59.7 percent, compared with the mean post-test score of 88.1 percent. Pre- and post-test scores were unmatched, so statistical significance could not be determined. The hypothesis that a staff education program on subglottic suctioning endotracheal tubes would demonstrate an increase in knowledge was supported, but not statistically. By integrating a pre-test/post-test design into educational presentations to evaluate increased knowledge, data generated may be used to improve methods and practices of delivering education and enhance staff learning.

Keywords: endotracheal tubes, staff education, subglottic secretion drainage, ventilator-associated pneumonia

Procedia PDF Downloads 115