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Eurasian Society of Educational Research
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Christiaan Huygensstraat 44, Zipcode:7533XB, Enschede, THE NETHERLANDS

'Mathematics' Search Results

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The article deals with financial education. The data were collected as part of the Slovenian project “NA-MA POTI” (NAroslovje, MAtematika, Pismenost, Opolnomočenje, Tehnologija, Interaktivnost- Science, Mathematics, Literacy, Empowerment, Technology, Interactivity), which aims, among other things, to promote financial literacy at the national level. The aim of the survey presented here is to determine teachers’ attitudes towards financial literacy and their teaching strategies in teaching topics related to financial literacy. A total of 158 teachers participated in the survey. The results show that most teachers agree that financial literacy is important. Those teachers who agreed that financial literacy is important were also statistically significantly more likely to use group work, approaches and work methods that require the development of critical thinking and authentic tasks, which provides a good foundation for knowledge transfer in everyday life.

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10.12973/eu-jer.11.4.2265
Pages: 2265-2273
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The role of preschool teachers in supporting children’s language development is unquestionably substantial. To ensure the quality of preschool teachers’ performance in this specific task, various assessing instruments have been developed and justified in recent years. This study joins such efforts by investigating a new scale based on the “Framework for assessing preschool teacher competence in promoting children’s language development” proposed by a previous research. The scale’s psychometric properties are examined with a sample of 685 Vietnamese preschool teachers. The results supported the four-factor model suggested by the original authors and confirmed its reliability and validity. Finally, further usages of the scale are discussed.

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10.12973/eu-jer.11.4.2167
Pages: 2167-2179
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310
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The pandemic case has shifted away from face-to-face teaching to online blended learning. This phenomenon certainly causes various problems in the world of education. The online blended learning is good when applied with good internet connections and complete facilities. However, it differs from Indonesian coastal students who do not have supporting facilities. Therefore, this research aims to analyze the experience and readiness of Indonesian coastal students. It determines the facilities of the process using qualitative research with a phenomenological approach. Purposive sampling was used to collect data from 25 students living in coastal areas in Aceh, Indonesia. Furthermore, in-depth interviews were used to obtain instruments and techniques for data collection, observations, field notes, and audio-visuals. Data analysis was carried out qualitatively by reducing, displaying, drawing conclusions, and verifying data. The data processing was conducted using NVivo 12 plus software. The kappa coefficient is used to check the accuracy of the data since there was no bias during coding. The analysis results show that Indonesian coastal students are not ready to conduct the online blended learning process. Furthermore, it is recommended that future research focus on coastal students’ development. A Hypothetical Learning Trajectory design should be created to assist in independent learning and lessen their readiness.

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10.12973/eu-jer.11.4.2181
Pages: 2181-2194
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548
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784
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This mixed method case study examined potential influences of social agents or immediate environments on individuals’ metacognition. Via quantitative methodologies, 122 pre-service teachers’ metacognition was measured by the Turkish Metacognitive Awareness Inventory, and metacognitive components did not show any variations across majors, locations of previous studies, the highest degree of education in the family, frequently communicated friends, and regions. Regression analyses revealed that friends were a significant predictor for metacognition. Also, focus group interviews were analyzed thematically via deductive codes regarding the theory of metacognition. Findings confirmed that friends may support individual metacognition at all levels, metacognitive knowledge, regulation, and experiences through cooperation, modeling, reflections, discussions, feedback, and peer evaluation. Pre-service teachers’ engagement on the social media may also support their regulatory strategies due to models’ task performances or by their reflecting upon those performances. Teachers and family may support metacognitive knowledge, specifically career goals via expectations, anecdotes, and experiences. On the other hand, schools and the Turkish culture may impose some limitations on the youth, and they may engage in reflection and self-questioning to manoeuvre negative experiences or conflicts. Thereby, cross-national and longitudinal studies are highly suggested to explicate the social foundations of metacognition.

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10.12973/eu-jer.11.4.2331
Pages: 2331-2344
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In this study we modeled the environmental literacy of Vietnamese preschool teachers. 324 in-service preschool teachers from Ha Noi, Da Nang, and Ho Chi Minh, Vietnam contributed to the study via an online survey. Structural Equation Modeling (SEM) was used to test the hypotheses of the relationships between environmental knowledge (KN), environmental awareness (AS), decision attitude (DA), personal behavior (PB) and environmental teaching activities (ACT) of these teachers. The results showed that the level of environmental literacy of preschool teachers in Vietnam was moderate with mean score for AS, DA, PB, and ACT ranged from 3.18 to 4.32 on a 5-point Likert-type scale. The results also indicate that the preschool teacher’s KN had a positive impact on AS and DA; PB was influenced by AS, but not by KN or DA. In addition, a correlation analysis showed AS and PB had a positive impact on ACT, while DA had a negative influence on ACT. These findings imply that preschool teachers with certain desirable environmental literacy had more tendencies to implement ACT. Based on the findings, recommendations and implications are provided for policy makers, preschool teachers, and researchers in Vietnam and other countries.

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10.12973/eu-jer.11.4.2357
Pages: 2357-2371
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439
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698
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School placement plays a critical and complex role in student teacher development as well as in their professional dispositions and career attitudes. It is where theory and practice meet, teaching skills are developed, professional relationships formed and future careers envisioned. This mixed methods study explores student teachers’ experiences with and perspectives about new models of extended school placements developed in Ireland following significant policy and programme reform. Data was collected through interviews and questionnaires with one of the first cohorts to experience a reconceptualised initial teacher education programme, including extended school placement periods in a variety of school settings. This paper will explore student teachers’ perspectives regarding the value of the extended placement and factors influencing their professional learning, agency and sense of belonging. Overall, our findings confirm the pedagogical benefits of the extended placement in two different school settings for student teachers’ professional learning. However, they also highlight how a number of factors, including the existence (or absence) of school support structures, school culture, peer networks, paid or unpaid additional workload and financial pressures impacted on student teachers’ capabilities to develop their skills and professional agency, their sense of belonging and, in some cases, their physical and mental health.

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10.12973/eu-jer.11.4.2373
Pages: 2373-2386
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386
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682
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2

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The research emphasized three main objectives: 1) to analyze the propensity score of the research effect size for developing students’ creative thinking, 2) to study the attribute variables effect of the research on the effect size of creative thinking before and after the propensity score adjustments, and 3) to compare the effect size between instructional methods to develop creative thinking before and after the propensity score adjustments. The data were obtained from 400 research studies on creative thinking development in Thailand. The research instrument for data collection included the research attribute record form. They were analyzed by calculating effect size, propensity score matching analysis, and fixed effect and random effect meta-regression analysis. The results indicated two research groups with propensity scores that develop students' creative thinking: the low effect size group of 256 research ( =1.345) and the high effect size group of 144 research ( =7.284) using 26 attribute variables of creative thinking development research. Moreover, the instructional methods with the creative activities had the highest effect size ( =3.88). After the analysis of propensity score matching, the effect of 12 research attribute variables was eliminated as follows: manufacturing research institutions, year of publication, educational institutions, curriculum, creative thinking indicators, instructional materials, types of research, research objectives, research groups, research protocols, statistics used in research, quality of research and it was found that integrated instructional model of knowledge using media and technology had the highest effect size ( =0.41).

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10.12973/eu-jer.11.4.2429
Pages: 2429-2444
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407
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The longitudinal changes of the average grades in four study semesters before and during the COVID-19 pandemic and distance learning are presented in the current study. 11th grade students’ (n=586; age M=17.38, SD=0.53) average grades were assessed, as well as their verbal and non-verbal reasoning abilities, and self-evaluations of problem-solving and self-management skills. The main findings of the study are: 1) There is a general pattern for the grades to increase during the four semesters from the autumn 2019 to the spring 2021; 2) The general tendency of changes in the grades is similar to various students’ groups based on their level of skills; 3) Higher level of students’ skills and cognitive abilities determined that students’ grades were higher and were more likely to increase during the “second wave of the pandemic”, compared to the middle and low-level skill groups. Results of the current study show a tendency for the average grades to increase during the pandemic and distance learning, however, there are group differences in the findings, relating the grade level to the individual level of students’ skills and abilities.

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10.12973/eu-jer.11.4.2445
Pages: 2445-2458
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505
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Guided by the analytical framework in the current literature, whereby ten nature of science (NOS) aspects were targeted, this study aims at assessing the extent to which the three physics textbooks for Cycle 4 of Fundamental Schools in Burundi represent the NOS aspects. The quantitative embedded research design which combines the qualitative and quantitative to both the representations of text and images were applied to collect and analyses data. Three physics textbooks used in this study as textbooks I, II and III (grade 7 textbook, grade 8 textbook and grade 9 textbook) were purposively selected. 65 physics lessons were analyzed in three steps including exploring representations of NOS aspects, representations of NOS teaching approaches and accuracy and completeness of NOS aspects. Data were collected using a guide document analysis and a rubric of NOS scoring and were analysed descriptively. The findings found a considerable deficit of NOS aspects in the physics textbooks. The findings also revealed the critical situation where the few lessons poorly represent the NOS aspects and the majority of them do not include the aspects of NOS. Furthermore, this study suggests the in-charge of quality assurance to evaluate and deliberate on the accuracy and completeness of physics textbooks for Cycle 4 of Fundamental Education in Burundi.

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10.12973/eu-jer.11.4.2487
Pages: 2487-2496
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377
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589
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4

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Successful teaching requires teachers' reflections and metacognitive awareness. However, few studies have investigated the impacts of reflections on teachers' metacognitive awareness in teaching. This study aimed to examine whether or not reflections can empower Indonesian pre-service English teachers' metacognitive awareness in teaching. Mixed-methods research was conducted to collect quantitative and qualitative data from 36 pre-service English teachers (PSETs) in two micro-teaching classes at the Undergraduate Program, Sanata Dharma University, Yogyakarta, Indonesia. Quantitative data from the pre-semester and post-semester were analyzed descriptively and statistically. Qualitative data from reflections and focus group discussions (FGD) focused on determining key issues related to PSETs' metacognitive awareness in teaching. Data analyses revealed that Indonesian PSETs' perceived metacognitive awareness in teaching increased post-semester. They also admitted the positive contributions of reflections in enhancing their metacognitive awareness in teaching. The increase was primarily attributable to the implementation of explicit reflections of the elements of metacognitive awareness in teaching. This research provides recommendations for teachers, lecturers, and future researchers.

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10.12973/eu-jer.11.4.2497
Pages: 2497-2512
cloud_download 522
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522
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469
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The pandemic era has caused changes in the learning system. The situation demanded online learning and triggered students to have learning difficulties. The research aims to examine the impact of social media, social environment, and student learning potential on student learning difficulties. This study utilizes a quantitative approach. The respondents were university students experiencing online learning in West Java, Indonesia. A questionnaire validated by four experts was distributed to 539 of them. Accommodating structural equation modeling (SEM) by evaluating the measurement and structural models was used in data analysis. This study revealed that the instrument had good construct validity and reliability. A good instrument will produce a good measurement process so that the instrument can get the data needed. Hypothesis testing shows that high media activity can inhibit students from learning. However, social media activity directly influences learning difficulties. Meanwhile, the variables of learning potential and social environment positively influence student learning difficulties directly or indirectly. There are a few things to note on learning potential, social environment, and social media to delve into their influences on students' learning difficulties.

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10.12973/eu-jer.12.1.1
Pages: 1-14
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853
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1078
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Mathematics teachers’ instructional strategies lack in-depth knowledge of algebraic systems and hold misconceptions about solving two algebraic equations simultaneously. This study aimed to gain an in-depth analysis of teachers’ knowledge and perceptions about the promotion of conceptual learning and effective teaching of algebraic equations. The main question was, ‘How do junior secondary school mathematics teachers manifest their pedagogical practices when teaching algebraic equations? This article reports on a qualitative, underpinned by the knowledge quartet model study, that sought to explore how junior secondary school teachers’ pedagogical practices manifested in the teaching of algebraic equations. Data were collected from observations, semi-structured interviews, and document analysis of two mathematics teachers purposely selected from two schools. The collected data were analysed using a statistical analysis software called Atlas-ti. (Version 8) and triangulated through thematic analysis. The study revealed that teachers’ choices of representations, examples, and tasks used did not expose learners to hands-on activities that promote understanding and making connections from the underlying algebraic equation concepts. The study proposed Penta-Knowledge Collaborative Planning and Reflective Teaching and Learning Models to enable teachers to collaborate with their peers from the planning stage to lesson delivery reflecting on good practices and strategies for teaching algebraic equations.

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10.12973/eu-jer.12.1.15
Pages: 15-28
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366
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611
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Learning literature is considered challenging for university students, especially in Indonesia, as they must perform assigned tasks and communicate with one another, in addition to receiving and transmitting comprehensible literature content knowledge from and to their lecturers. In many cases, students do not get sufficient feedback on what they are doing. The objective of this study was to investigate the use of feedback strategies by lecturers in English literature lectures in a higher learning institution in Indonesia. Using a qualitative approach, this study involved three lecturers of the English literature department. Meanwhile, data were collected through 300 minutes of video recordings of drama, literary criticism, and prose lectures. The results revealed that the lecturers generated both negative and positive feedback strategies during the lectures. In terms of negative feedback strategies, they criticized students’ responses. By contrast, in terms of positive feedback strategies, they accepted, appreciated, and praised as well as repeated and answered students’ responses. The results also indicated that the feedback strategies became effective tools to improve students’ language competence, literary knowledge, and participation. This study suggested that lecturers use more positive feedback followed by additional comments during lectures as these could foster students’ engagement and keep learning longer.

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10.12973/eu-jer.12.1.29
Pages: 29-40
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417
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566
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3

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The skill to solve mathematical problems facilitates students to develop their basic skills to solve problems in daily life. This study analyzes students' problem-solving process with a reflective cognitive style in constructing probability problems using action, process, object, and schema theory (APOS). The explanatory method was used in this qualitative study. The participants were mathematics students at the Department of Mathematics, Universitas Negeri Semarang. The researchers collected the data with the cognitive style test using the Matching Familiar Figure Test (MFFT), used a valid problem-solving skill test, and the interview questions. The data analysis techniques used were processing and preparing the data for analysis, extensive reading of the data, coding all data, applying the coding process, describing the data, and interpreting the data. The results showed that (1) the problem-solving process of students with symbolic representation was characterized by the use of mathematical symbols to support the problem-solving process in the problem representation phase; (2) the problem-solving process of students with symbolic-visual representation was characterized by the use of symbols, notations, numbers, and visual representation in the form of diagrams in the problem representation phase.

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10.12973/eu-jer.12.1.41
Pages: 41-58
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579
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802
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2

Analysis of the Effect of Social Skills and Disposition of Digital Literacy on Mathematical Literacy Ability

digital literacy disposition mathematical literacy social skills

Busnawir Busnawir , Kodirun Kodirun , Nana Sumarna , Zulham Alfari


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This study aims to analyze the characteristics of social skills, digital literacy disposition, and mathematical literacy abilities of 49 students; to analyze the theoretical model of the direct and indirect influence of digital literacy skills and social skills on mathematical literacy skills. The number of samples is 49 of the 12th-grade students at state high school #1 Southern Konawe. The research instruments consisted of a mathematical literacy ability test, a social skills questionnaire, and a digital literacy disposition questionnaire. The data were analyzed by descriptive statistics and structural equational models (SEM) with a Smart PLS 3.0 application. The results showed that students' mathematical literacy skills tended to be better on content and context indicators but they are weak on competency and process indicators. Students' social skills tend to be better on indicators of peer-relationship skills and self-management skills, but are also weak on indicators of academic skills and compliance skills. Mastery of the digital literacy disposition tends to be better on the internet searching, content evaluation, and information sharing indicators but is still weak on knowledge assembly. Furthermore, it was found that (a) social skills have a direct effect on digital literacy disposition but do not directly affect mathematical literacy skills; (b) the digital literacy disposition has a direct effect on mathematical literacy skills.

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10.12973/eu-jer.12.1.59
Pages: 59-69
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539
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737
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1

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Learning activities are conducted to help students achieve optimal academic achievement. This research aims to optimize student academic achievement through a learning process that integrates comprehensive formative assessments, including formative tests, self-assessment, peer assessment, and the initiator of creating summaries or concept maps that are given to students in a structured manner at the end of every lesson. The research method used was a quasi-experimental method with a 2x2 factorial design. Students enrolled in the biology education program of the basic physics course for the 1st semester of the 2019 academic year participated in this study. The participants were 66 undergraduate students divided into two classes. Thirty-four students in the experimental group were in class A, while 32 students in the control group were in class B. Data were collected using a learning outcome test instrument to measure academic achievement, which was tested at the end of the semester. Data were analyzed using a two-way ANOVA. This study concluded that a learning process that includes comprehensive formative assessment significantly affects students' academic achievement. These findings support the theory that formative assessment provides feedback, correction, and improvement in student learning.

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10.12973/eu-jer.12.1.71
Pages: 71-85
cloud_download 666
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666
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876
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2

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Several supporting factors are alleged to influence the performance of teachers. This study aimed to describe the relationship between each research variable and teachers’ performance, either directly or indirectly. This research was conducted through surveys and quantitative approaches that included correlational research types. The research subjects were Hindu religion teachers in 119 state junior high schools, consisting of 517 teachers. The sample of 256 people was determined using the Krejcie and Morgan formula and the Warwick and Lininger formula. The samples from each sub-population were determined with the proportional random sampling technique, and the personal sampling of sample members was determined with the use of lottery techniques. The data were collected using a five-point Likert scale model questionnaire with high validity and reliability. The data analysis technique used in this study was structural equation modelling. The conceptual model met the standards of comprehensive goodness-of-fit requirements. The results of the study show that the average levels of Hindu principals’ leadership, the emotional intelligence of teachers, supervision of school superintendents, school culture, teachers’ work motivation, and the performance of Hindu religion teachers are in the high category. In addition, the hypothesis testing results show there is a significant direct and indirect relationship between the variables in the state junior high school.

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10.12973/eu-jer.12.1.99
Pages: 99-117
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Development research demands a improvement in the implementation of learning by developing products based on learning needs. The products of this development are teacher book and student book based on the realistic mathematic education (RME) approach for package A in statistics material. Validity testing in this study includes instrument validation, self-evaluation, expert validation, one-to-one evaluation. Aiken's V and Intraclass Correlation Coefficient (ICC) are used to determine the validity and reliability of the product. The result of research shows that the instruments and prototype are valid and feasible. Then, the ICC obtained moderate stability, it also categorize reliable. In terms of context and hypothetical learning trajectory (HLT) developed, the products should be revised to achieve meaningful learning.

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10.12973/eu-jer.12.1.119
Pages: 119-131
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474
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Metacognitive, critical thinking and opinion expression are in high demand. This study aimed to investigate the effects of the blended project- based literacy that integrates school literacy movement strengthening character education (literasi berbasis proyek terintegrasi GLS dan PPK: Li-Pro-GP) learning model on students' metacognitive skills, critical thinking, and opinion expression. A post-test experimental design was used to answer the research question. The study was conducted from August to October 2021 at Government Junior High School 23 Malang. Seventh-grade students were selected as research participants. The participants included 30 students from class VII-2. The research instrument was five essay questions to measure critical thinking skills. Material and assessment experts validated the essay questions developed by the researcher. The items that were declared valid were tested for validity. The result showed five valid items with high reliability of .670. Metacognitive skills were measured using the Metacognition Awareness Instrument (MAI), which consists of 40 items. The questions declared valid were tested for validity with a very high reliability of .953 for 37 items, and only three items were invalid. The ability to express an opinion was measured with an observation questionnaire validated by experts with a valid instrument score. Data analysis was performed by path analysis using the SmartPLS software. The results showed that the Li-Pro-GP blended learning model significantly strengthened students' metacognitive skills, critical thinking, and opinion formation.

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10.12973/eu-jer.12.1.145
Pages: 145-158
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635
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863
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The Concept of Number Sequence in Graphical Representations for Secondary School Students

compulsory secondary education students graphical representation number sequences progression in learning

José Mariano Bajo-Benito , José María Gavilán-Izquierdo , Gloria Sánchez-Matamoros García


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The aim of this work is to characterise the understanding that students in compulsory secondary education (14-16 years old) have of number sequences in graphical representations. The learning of numerical sequences is one of the first mathematical concepts to be developed in an infinite context. This study adopts the focus of semiotic representations as its theoretical framework. The participants consisted of 105 students and a qualitative methodology was used. The data collection instruments were a questionnaire and a semi-structured interview. The results allowed for three student profiles regarding number sequences in graphical representations to be identified. These profiles may facilitate a possible progression in the learning of number sequences for students in compulsory secondary education to be considered. Therefore, the results presented in this study can provide information about the learning hypotheses of mathematical tasks related to numerical sequences and can help in the design of such tasks.

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10.12973/eu-jer.12.1.159
Pages: 159-172
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