' mathematics learning' Search Results
The Influence of Mistake-Handling Activities on Mathematics Education: An Example of Definitions
mistake-handling activities definition mathematics content knowledge mathematics teacher...
The study aims to find out the influence of Mistake-Handling Activities to determine mathematical definitions knowledge, which can be regarded as a component of mathematics content knowledge, of teachers on the development of teachers in providing mathematical definitions. Within this framework, Mistake-Handling Activities were carried out with five volunteer mathematics teachers. Written opinions and semi-structured face-to-face interviews were used as data collection tools. During the application, focus group interviews were carried out, and the application was enhanced with discussions. The data were analyzed using the document review method, and codes, categories, and themes were also determined. The results revealed that Mistake-Handling Activities yielded certain emotional advantages such as increasing teachers’ interest and curiosity, critical thinking, self-confidence, awareness, and offering different viewpoints as well as yielding cognitive advantages such as recognizing their shortcomings, acknowledging the importance of knowing the definition of a concept, and using the definition.
How Students Use Cognitive Structures to Process Information in the Algebraic Reasoning?
algebraic reasoning cognitive psychology cognitive structure information processing...
Cognitive processes are procedures for using existing knowledge to combine it with new knowledge and make decisions based on that knowledge. This study aims to identify the cognitive structure of students during information processing based on the level of algebraic reasoning ability. This type of research is qualitative with exploratory methods. The data collection technique used began by providing a valid and reliable test instrument for algebraic reasoning abilities for six mathematics education student programs at the Islamic University of Sultan Agung Indonesia. Subjects were selected based on the level of upper, middle, and lower algebraic reasoning abilities. The results showed that (1) students with the highest level of algebraic reasoning ability meet the logical structure of Logical Reasoning which shows that students at the upper level can find patterns and can generalize; (2) Students at the intermediate level understand the cognitive structure of Symbolic Representations, where students can make connections between knowledge and experience and look for patterns and relationships but have difficulty making rules and generalizations; (3) students at lower levels understand the cognitive structure of Comparative Thinking, where students are only able to make connections between prior knowledge and experience.
The COVID-19 Pandemic’s Impact on 9th Grade Students’ Mathematics Achievement
covid-19 high-school mathematics spain...
In this research, the influence of the Coronavirus disease (COVID-19) pandemic on 9th grade students’ mathematics achievement is analyzed through quantitative and qualitative methods. A posttest only with control group design was used to compare the mathematics marks of 9th grade students from the previous school year (before the pandemic, control group) and the current school year (during the pandemic, experimental group). Seventy-three students from a public high school in Spain attending class on alternate days participated in the study. Three focus group sessions were held with students, and five semi-structured interviews were conducted—two with teachers and three with students’ families. Results show statistically significant differences in students’ mathematics achievement, with students enrolled in 9th grade the previous (pre-pandemic) year outscoring their peers currently enrolled in 9th grade (during the pandemic) by 22.17%. An overall negative effect size of Hedge’s g = -1.11 was reported. Although significant statistical differences between groups were reported for both male and female students, the effect was 42.31% larger for male students (Hedge’s g = -1.11) than for females (Hedge’s g = -0.78). The qualitative information supported the quantitative results. Changes in educational settings, students’ lack of motivation, monotony, and students’ level of responsibility were qualitatively reported as factors that may explain this phenomenon. The main conclusion of this study is that the COVID-19 pandemic may be significantly and negatively affecting 9th grade students’ mathematics achievement.
Validating Student’s Green Character Instrument Using Factor and Rasch Model
green character instrument factor and rasch analysis...
Many researchers have separately developed instruments to measure environmental characteristics such as attitudes, values, and knowledge. However, there is no instrument used to measure all these aspects in one comprehensive instrument. This study is meant to develop and validate a green character instrument which reveals student behavior and awareness of the environment. The instrument consists of 40 statement items consisting of 5 aspects, namely private pro-environmental behavior, public pro-environmental behavior, environmental knowledge, environmental values, and environmental attitudes. It was implemented on 1,398 students from 15 universities in Indonesia. The instrument content validation was analyzed by three experts using content validity index (CVI). The construct validity was analyzed using exploratory factor analysis, confirmatory factor analysis, and RASCH analysis. The content validity results obtained CVI scores ranging between 0.8 and 0.9 with a good category, while item reliability was in a fairly good category with a high level of separation index. Construct validation resulted in 34 items (4 items were eliminated after Exploratory and Confirmatory Factor Analysis, and 2 items were eliminated after RASCH analysis) spread over five constructs, namely environmental behavior, environmental knowledge, environmental values, environmental attitudes, and environmental habits. The resulting instrument has a good level of item difficulty, with a well understood response set which can be understood easily by respondents, and without bias. Therefore, it can be used to measure the students’ green character on both male and female.
Parental Obstacles During Distance Learning Mathematics in Indonesia: A Phenomenology Study
covid-19 distance learning mathematics panic-gogy phenomenology...
The Coronavirus disease (COVID-19) pandemic has caused an inevitable shift from face-to-face to distance learning, a phenomenon known as panic-gogy. Parents are the main students’ companions while studying at home. Although various studies show the constraints in this condition, few employ phenomenology that accurately describes people’s experience regarding a situation. Therefore, this study aimed to describe parents’ experience during distance learning mathematics using a phenomenology approach. The participants comprised 71 35-50-year-old parents of junior high school students. A Google form with open-ended questions was used as the main instrument in data collection. Data were analyzed using NVivo-12-assisted thematic analysis in coding, while source triangulation was used to strengthen the data trustworthiness. The results showed that students did not learn the content well due to poor explanations by the teacher. Furthermore, they did not study well at home due to signal constraints and quota limitations. This study recommends blended learning by combining limited face-to-face and online learning.
Building STEM Inquiry-Based Teaching Proposal Through Collaborations Between Schools and Research Centres: Students’ and Teachers’ Perceptions
genetic problems inquiry-based learning stem education students-teachers-scientists collaboration...
This study presents an inquiry-based teaching approach using a rich methodology involving STEM (science-technology-engineering and mathematics) projects, developed using a cooperative way to work between schools and research centres. We describe the teaching pattern scenario with students, teachers, and scientists. We also illustrate the learning process, conducted through two inquiry-based problems in Biochemistry, the mutagenesis process and the transgenesis effects caused by inoculation of bacteria. The teaching sequence, as well as the scientific knowledge and students’ competencies involved, are shown. We then analyse the students' and teachers' perceptions in this scenario regarding the development of students' STEM learning through their inquiry skills promoted and concerning predictors to vocational careers involved (students’ identities as potential scientists, scientific attitudes, social implications towards science or students´ agency). Finally, we add some conclusions and contributions to teaching STEM education, related to factors of the design teaching scenario that bring connections with the interests and motivations of students, such as the relevance of the projects to evoke understanding of processes or causal relationships of content or the teacher's professionalisation supported by a proper allocation between scientists and teachers.
Impact of Modular Distance Learning on High School Students Mathematics Motivation, Interest/Attitude, Anxiety and Achievement during the COVID-19 Pandemic
mathematics achievement mathematics anxiety mathematics interest/attitude mathematics motivation modular learning...
This study examined the impact of modular distance learning on students' motivation, interest/attitude, anxiety and achievement in mathematics. This was done at the Gabaldon, Nueva Ecija, Philippines during the first and second grading of the academic year 2021-2022. The study included both a descriptive-comparative and descriptive-correlational research design. The 207 high school students were chosen using stratified sampling. According to the findings, students have a very satisfactory rating in mathematics. Students agree that they are motivated, enthusiastic, and have a positive attitude toward mathematics. They do, however, agree that mathematics causes them anxiety. When students are subdivided based on sex, their mathematics interest and anxiety differ significantly. However, there was no significant difference in interest/attitude and achievement. When students are divided into age groups, their mathematics motivation, interest/attitude, anxiety, and achievement differ significantly. Students' motivation, anxiety, and achievement differ significantly by year level. There was a positive relationship between and among mathematics motivation, interest/attitude, and achievement. However, there is a negative association between mathematics anxiety and mathematics motivation; mathematics anxiety and mathematical interest/attitude; and mathematics anxiety and mathematical performance. The study's theoretical and practical implications were also discussed, and recommendations for educators and researchers were given.
Construction of the Character Assessment Instrument for 21st Century Students in High Schools
assessment construct character validity reliability...
The study of character becomes a very important discussion in the 21st century. So that the integration of character values is very important both in the process and in educational assessment. The purpose of this study was to test the validity and reliability of the character assessment instrument for 21st-century high school students. The research approach used was quantitative with a sample of 200 high school students. Data analysis carried out includes validity and reliability tests. The test results of the instrument showed that the construct of the student character assessment instrument was declared valid and reliable. The content validity test shows the value of Aiken's > .80 in the high category. In the construct validation test with EFA, all variables have a loading factor > .5. In the CFA test, the model is declared fit with the estimated standard loading value of .40 and the t-count value > 1.96. Meanwhile, while in testing the reliability of the instrument obtained composite > .70 Cronbach's Alpha reliability > .70 which means reliable. So that this instrument is declared valid and reliable to measure the character of students in high school.
Student Performance Prediction Model for Predicting Academic Achievement of High School Students
data science in education educational data mining learning analytics learning strategies lifelong learning...
Modern technology is necessary and important for improving the quality of education. While machine learning algorithms to support students remain limited. Thus, it is necessary to inspire educational scholars and educational technologists. This research therefore has three main targets: to educate the holistic context of rural education management, to study the relationship of continuing education at the upper secondary level, and to construct an appropriate education program prediction model for high school students in a rural school. The data for research is the academic achievement data of 1,859 students from Manchasuksa School at Mancha Khiri District, Khon Kaen Province, Thailand, during the academic year 2015-2020. Research tools are separated into 2 sections. The first section is a basic statistical analysis step, it composes of frequency analysis, percentage analysis, mean analysis, and standard deviation analysis. Another section is the data mining analysis phase, which consists of discretization technique, XGBoost classification technique (Decision Tree, Gradient Boosted Trees, and Random Forest), confusion matrix performance analysis, and cross-validation performance analysis. At the end, the research results found that the reasonable distribution level of student achievement consisted of four clusters classified by academic achievement. All four clusters were modeled on predicting academic achievement for the next generation of students. In addition, there are four success models in this research. For future research, the researcher aims to develop an application to facilitate instruction for learners by integrating prediction models into the mobile application to promote the utilization of modern technology.
It is the Shared Aims, Trust and Compassion that Allow People to Prosper: Teacher Educators´ Lifelong Learning in Competence-based Education
co-passion dialogue professional identity sociocultural environment transformation...
Teachers´ life-long learning and occupational well-being is significant in promoting educational goals and professional development. The aim of the study was to determine which factors contribute to teacher educators´ commitment to work and give them energy for work and self-development. The research data consisted of 24 teacher educators in Oulu University of Applied Sciences. The research method of this case study was a qualitative, thematic content analysis, the research approach phenomenography. The most important single factor seemed to be the community of teachers, students and the administrative staff which are included in dialogue and collaboration. Emotions, meaningfulness, and interaction play an important role, often via pedagogical fellowship. Committed teacher educators take responsibility for workplace culture and transformation of teaching. Positive attitudes, motivation, reflection, and dialogue seem to be connected to professional capability and the ethos of teacher educators´ work.
Teacher Collaborative Metacognitive Feedback as the Application of Teacher Leadership Concept to Scaffold Educational Management Students’ Metacognition
metacognition metacognitive feedback teacher collaboration teacher collaborative metacognitive feedback teacher leadership...
Teacher leadership theory has underlined the essence of teacher collaboration (TC) in helping students learn better. Also, many studies and theories have argued that TC can be an effective way to provide learning feedback. Thus, this mixed-method study aimed to experimentally examine the effect of teacher collaborative metacognitive feedback (TCMF) on educational management (EM) students’ metacognition, to see the different effects on EM students’ metacognition as affected by TCMF and by individual teaching metacognitive feedback (ITMF), and to qualitatively probe into students’ perceptions of teacher collaboration. The quantitative study conducted a quasi-experimental method by involving 44 EM students. A valid and reliable scale of metacognition adopted from a previous study was utilized as the instrument of data collection. The qualitative study conducted interviews with 8 students selected purposively, and the data were analyzed interactively to reach credible information. This study revealed that TCMF positively and significantly affected EM students’ metacognition. TCMF contributed to EM students’ metacognition better than ITMF did. The students perceived that TC developed their collaborative skills, continuously supporting their critical thinking skills, intercultural communicative competence, and problem-solving skills. Limitations, implications, and recommendations for further research are discussed.
The Contribution of Professional Learning Community of Pedagogical Instructors, Training Teachers and Teaching Students within a Clinical Model for Teacher Education to Their Professional Development
pedagogical instructors professional learning community professional development teacher education training teachers...
The purpose of the present study is to examine the contribution of professional learning community of pedagogical instructors, training teachers, and teaching students in clinical model for teacher education to their professional development. The prior is carried out through examining a variety of categories: namely, collaborative learning, personal responsibility, collective responsibility, reflective pedagogical discourse and action research, knowledge development and learning processes. Thirty-three members of the learning community constituted the study community. The research tool is a multiple-choice questionnaire that was developed for the requirements of the research and personal feedback on open-ended questions. The quantitative data collected by the questionnaire indicated that the learning community of the clinical model for teacher education contributed greatly to the professional development of all participants regardless of field of knowledge, role in the training process, and the curricular activities offered by colleges and schools. The findings revealed a negative relationship between the field of teacher education among the participants on the one hand, and professional development on the other hand.
Validation of the Short Form of My Class Inventory Within the Vietnamese Educational Context
classroom environment confirmatory factor analysis learning environment my class inventory vietnam...
Recently, researchers have paid more attention to the aspects of classroom learning environments because of their effects on students’ cognitive and effective outcomes. However, current literature reveals the lack of research that explores the factors of classroom environments in Vietnamese context. The present study, therefore, aims to validate the psychometric properties of the 25-items version of the My Class Inventory (MCI), translated into Vietnamese for 487 secondary school students. Factorial analysis showed an acceptable fit for the four-factors structure of the MCI – cohesiveness, competitiveness, satisfaction, and friction – to be appropriate for secondary school students. Internal consistency reliabilities of the general scales and four subscales were satisfactory. Results support the suitability of the MCI to assess students’ classroom environment within Vietnam’s educational context. The study recommended, among other things, that future studies should be conducted to explore the validity of the MCI on other samples of Vietnamese secondary students.
Mathematics Pre-Service Teachers’ Numerical Thinking Profiles
numerical thinking reasoning self-efficacy...
Numerical thinking is needed to recognize, interpret, determine patterns, and solve problems that contain the context of life. Self-efficacy is one aspect that supports the numerical thinking process. This study aims to obtain a numerical thinking profile of Mathematics pre-service teachers based on self-efficacy. This study used descriptive qualitative method. The data obtained were based on the results of questionnaires, tests, and interviews. The results of the self-efficacy questionnaire were analyzed and categorized (high, moderate, and low). Two informants took each category. The results showed the following: informants in the high self-efficacy category tend to be able to interpret information, communicate information, and solve problems with systematic steps. Informants in the moderate self-efficacy category tend to be able to interpret and communicate information, but tend to be hesitant in choosing the sequence of problem-solving steps. Meanwhile, informants in the low self-efficacy category tend not to be able to fully interpret the information. As a result, the process of communicating information and solving problems goes wrong. Another aspect found in this study is the need for experience optimization, a good understanding of mathematical content, and reasoning in the numerical thinking process.
Access, Efficiency, Inconvenience, and Scarcity as Issues of Online and Distance Learning in Higher Education
distance learning issues on online and distance education student perception...
This study aimed to explore online and distance learning (ODL) issues related to higher education during the coronavirus disease (COVID-19) in Nepal. We applied an online survey design with a five-point Likert scale. We surveyed 71 (57 male and 14 female) postgraduate students in science education at a public higher education institution in Kathmandu, Nepal. A Principal Component Analysis identified four major constructs as the components of ODL issues. They are scarcity, efficiency, access, and inconvenience. The results of the Independent Samples Test (t-test and ANOVA) showed that participants' views about scarcity were significantly different across their gender (male and female) and device use (mobile, laptop, and desktop). They were not significantly different in their views about efficiency, access, and inconvenience across gender, device use, hometown, age group, ethnicity, and school type at .05 level of significance.
A Bibliometric Review on Realistic Mathematics Education in Scopus Database Between 1972-2019
bibliometrics mathematics education mathematics in context realistic mathematics education scopus...
Despite receiving increasing attention from mathematics education scholars, there has not yet been any overall understanding of the current state of realistic mathematics education (RME). To address this gap, this study aims to provide a review of 288 studies on realistic mathematics education from the Scopus database between 1972 and 2019. Using descriptive and bibliometric analyses, this study addresses four research issues as follows: (i) the total volume, growth trajectory, and geographic distribution; (ii) the most influencing authors and research groups; (iii) the most influencing sources (i.e., journals, books, conferences); and (iv) the most important topics. Several implications for not only mathematics education scholars but also other stakeholders, including policymakers, school managers, mathematics teachers, may not be considered in this study.
Analysis of Mathematics Lesson Planning Framed by the Teachers’ Pedagogical Content Knowledge
designed lesson plan effective mathematics teaching in-service mathematics teachers pedagogical content knowledge...
Lesson planning is considered to be an important and efficient tool for effective teaching and learning process. Preparations of effective lesson plan requires teachers to be competent in the pedagogical content knowledge (PCK). This study investigated how the mathematics teachers’ PCK impact their competences on designing effective lesson plans. Twelve in-service mathematics teachers from public secondary schools in Unguja-Island (Zanzibar) of Tanzania were involved. The data were collected using the reviewing of the teachers’ mathematics lesson plan documents and teachers’ interview. The data were analyzed in both quantitative and qualitative mode based on the lesson plan framework guideline (LPFG) and the criteria for better planning of the sections jointly with PCK abilities indicators. The percentage average of occurrence of the sections in the teachers’ designed lesson plan (DLP) and the percentage of occurrence of different category within the sections of the DLP in relation to the criteria were determined. Also, the challenges faced by the teachers in their DLP were identified. The result of the analysis revealed that the PCK competences of mathematics teachers are not good enough to impact their DLP, as some of their designing lesson plan sections were occurred inconsistently. Also, the implementation of PCK competences for effective mathematics teaching found to be at developing stage, as some criteria related to it were not clearly observed in their DLP. The study recommends the demand of in-service training for mathematics teachers on the implementation of teachers’ competences particularly PCK in the lesson plan designing for effective classroom practices.
Elementary Teachers’ Development in Using Technological Tools to Engage Students in Online Learning
elementary teachers online learning students’ engagement technological tools tools...
Technological tools are means by which online teaching could encourage the engagement of students, especially elementary students. The present research studies how elementary teachers develop their use of technological tools in their asynchronous and synchronous online teaching, specifically when this online teaching occurs during emergency education. The research was conducted in the academic year 2019/2020. We interviewed two elementary teachers, where one of them taught asynchronous lessons more than synchronous, while the second taught synchronous lessons more than asynchronous. We analyzed the data using two frameworks: one for interaction type and one for engagement type. The research results indicated that different interaction types influenced teachers’ decisions to use technological tools. In addition, what concerned the teachers’ use of tools at the beginning was the cognitive engagement, but they advanced towards focusing on behavioral and the affective engagement.
Predictive Power of Five-Factor Mentoring Model on Student Teachers’ Teaching Self-Efficacy Beliefs
five-factor mentoring model teaching self-efficacy teaching practicum...
This study investigated student teachers’ teaching self-efficacy level and factors that predict it (using five-factor mentoring model). Two hundred and ten third and fourth-year student teachers (N=100/N=110; 93.8% females) were involved in the study and asked to complete a self-report questionnaire. The “Mentoring for Effective Primary Teaching” instrument and “Teachers' Sense of Efficacy Scale” were used to collect the data. Findings indicated that higher levels of student teachers' self-efficacy are positively associated with the level of mentoring experience during the teaching practicum. The results found that fourth-year students reported significantly higher levels of teaching self-efficacy than third-year students. This study reported that there is a significant mean difference in student teachers’ self-efficacy beliefs in terms of having parents in the teaching profession. A multiple regression found that mentor teachers’ personal attributes are the best predictor of student teachers' teaching self-efficacy beliefs.
The Effect of Teacher Collaboration as the Embodiment of Teacher Leadership on Educational Management Students’ Critical Thinking Skills
collaborative skills critical thinking skills learning awareness metacognitive skills teacher collaboration teacher leadership...
The embodiment of teacher leadership has currently shifted onto the practice of teacher collaboration due to its potential to solve students’ problems such as low critical thinking skills. Accordingly, this study quantitatively aimed to examine the effect of teacher collaboration on educational management students’ critical thinking skills as well as their critical thinking retention. Subsequently, it qualitatively investigated the students’ perspectives on teacher collaboration. 60 students selected randomly took part in the experimentation, in which 30 students were taught with teacher collaboration, and other 30 students were taught with individual lecturing. 10 students taught with teacher collaboration were further selected purposively to be interviewed for the qualitative investigation. Descriptive statistics alongside paired and independent t-tests were deployed to analyze the experiment results, and an interactive model was adopted to analyze the qualitative findings. The experiment showed that teacher collaboration had a more positive and significant effect on students’ critical thinking skills than its counterpart did. The students taught with teacher collaboration enjoyed good retention of critical thinking skills as well. The students perceived that teacher collaboration improved their collaborative skills, awareness, and metacognitive skills in learning. Implication, limitation, and recommendation are discussed.