This research aims to test (1) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on written mathematical communication skills, (2) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills, (3) the effectiveness between problem posing learning model with Indonesian realistic mathematical education approach and problem posing learning model on the written mathematical communication skills from each cognitive style, and (4) the effectiveness between field-independent and field-dependent cognitive styles on written mathematical communication skills from each learning model. This quantitative research employed a quasi-experimental method. The research sample consisted of 240 fifth-grade elementary school students in Jebres District, Surakarta, Indonesia. Data collection techniques included tests of written mathematical communication skills and cognitive styles. The data were analyzed using prerequisite (normality, homogeneity, and balance), hypothesis, and multiple-comparison tests. The findings prove that (1) PP model with Indonesian realistic mathematical education approach is more effective than the PP and direct instruction models, (2) field-independent cognitive style is better than field dependent, (3) PP with Indonesian realistic mathematical education is as effective as the PP model, but more effective than the direct instruction model, and the PP model is more effective than the direct instruction model in each cognitive style, and (4) in the PP learning model with Indonesian realistic mathematical education approach, field-independent cognitive style is same skill as with field-dependent, but field-independent is better than field-dependent cognitive style in the PP and direct instruction learning models.

Using unplugged coding activities to promote computational thinking (CT) among secondary learners has become increasing popular. Benefits of using unplugged coding activities involve the cost-effective implementation, the ability to promote computer science concepts and self-efficacy in learning computer programming, and the engaging nature of active learning through collaboration. However, there is insufficient information regarding qualitative investigation on how learners develop their CT skills while working on unplugged coding tasks. This study therefore developed unplugged coding activities using flowcharts for high school students to learn computer science concepts, and to promote their CT skills. The activities consisted of five missions encompassing the concepts of sequence, repetition, input & variable, condition, and loop with condition. The data collection was carried out with 120 high students whose participation was video recorded and observed. A thematic analysis revealed that patterns of CT development started from initially developed, to partially developed and fully developed stages, respectively. The various stages were derived from different abilities to apply the computer science concepts to complete the missions with different expressions of CT skills. In addition, the study proposed a 3S self-directed learning approach for fostering the CT development, composing of self-check (in pairs), self-debug (in pairs), and scaffolding. It is therefore suggested to use the 3S model integrated with the unplugged coding activities for developing CT among high school learners.

This study was to support the understanding of the set structure, binary operations, and their properties as a prerequisite of group theory material categorized as 9 structure senses. This study aimed at investigating the process of students’ structure sense in recognizing the structure of mathematical properties or objects as a prerequisite of group theory material. A task-based case study by exploring 9 categories of structure senses through three integrated process frameworks in the questionnaire was employed in this study. It involved 26 students who had obtained a prerequisite of group theory material and would take abstract algebra course. The choice of subjects was determined based on the results of the questionnaire, in which it identifies the type of structure sense processes. There were 6 out of 26 subjects were chosen. The 6 subjects consisted of 2 subjects from the first path process, 2 subjects from the second path process, and 2 subjects from the third path process. Then, the 6 subjects were interviewed. The choice of 2 subjects for each path process was because it used a fixed comparison theory. Then, the data were validated by using triangulation methods by comparing the students’ work on assignments and questionnaires as well as audio recordings of interviews. The results show the tendency of the process of structure sense was more dominated by students from the second type of path process, in which the subjects still depend on the well-known structure of the properties or mathematical objects in the form of sample questions. The subjects were unable to understand definitions in order to construct structures of properties or mathematical objects.

The purposes of the current study were to develop students' spatial orientation skills using Virtual Mathematics Kits (VMK) and to evaluate VMK as a form of digital media in terms of spatial orientation. This study involved 42 lower-class and 47 higher-class elementary school students as the intervention group and 36 lower-class and 41 higher-class students as the control group. The intervention group was administered spatial orientation activities for 10 weeks. These activities were performed using a VMK to facilitate solving spatial problems. In the end of activities, spatial orientation instruments administered to compare spatial orientation ability on each group. The findings of this study, spatial orientation activities using a VMK improved students' spatial orientation skills. More specific, VMK provides more significant effect on higher-class students. Finally, VMK allows students to explore many ideas and perspectives to solve various spatial problems. VMK can be used as a digital media that helps students to develop spatial reasoning.

This study determined the challenging learning experiences of engineering students while completing their degree program as factor that might influence to their changing attitude towards achieving higher academic performance. Mixed method of research was utilised in the study considering the total population of 75 graduating students for quantitative and 12 students for qualitative part of the study using focus group discussion. Results showed that engineering students have significantly higher level of positive attitude towards academic performance during their junior level but significantly lower after taking professional courses. Attaining high academic performance still really matters for the engineering students during their junior level but continuously changing their perspective due to encountered challenging experiences while taking the professional courses. Performance in General Engineering courses describes the attitude of the students towards academic performance in personal aspect while professional courses define their attitude in professional aspect. The finding of the qualitative research revealed that there are three themes emerged in the challenging experiences of the engineering students and these are: Abandoned Social Freedom, Survival of the Fittest and Future Oriented Mindset which contributed to the changing perspectives of the engineering students.

Previous research suggests that non-cognitive factors play an important role in promoting success at school and beyond, aligning with the multifaceted goals of education. Enhancing students’ attitudes to learning in school is expected to have positive impacts on various schooling outcomes. To date, very few studies have focused on measuring and understanding students’ attitude to the arts. This study aims to address a gap in current research in this area by introducing instruments designed to measure attitude to dance, drama, music and visual arts. Confirmatory factor analysis and measurement invariance analyses are employed to examine the factorial validity and measurement equivalence of the scales of attitude to the arts disciplines for different ethnic groups in New Zealand. Findings support the utility of the scales as valid measures of attitude to dance, drama, music and visual arts. Noticeable differences are reported among New Zealand European, Maori, Pasifika and Asian students regarding their attitudes to dance, drama, music and visual arts.

Covid-19 has accelerated the speed of technocratic transformation in teaching and learning. Previous researches on whether technology enhances students’ motivation towards learning or burdens them with additional layer of anxiety in learning the nitty gritty of technology itself have mixed results. The purpose of this study was to explore early undergraduate students’ beliefs about learning mathematics with technology. These research participants were first-year female undergraduate students in a public university in the United Arab Emirates (UAE). The study comprised of phase one with qualitative task-based interviews with four female first-year undergraduate students. Phase two included a quantitative belief survey with a sample of 62 students from the same institution. I constructed four major belief categories from the iterative process of interview data analysis– technology for computing and graphing, technology for speed and accuracy, technology for a short-cut but not for meaning, and affective aspects of beliefs. The quantitative survey result demonstrated that a majority of participants (about 75.8%) were found to be using some kinds of technological tools while learning mathematics. About 90% of them reported using a calculator while learning mathematics. A majority of participants (54.9%) believed that technology helps them in learning mathematics, and about 50% of them also believed that the use of technology improves their learning of mathematics.

This study aims to analyze students’ creative thinking skills in answering the problem-solving questions. This study employs qualitative design, involving 110 fifth graders in Malang Municipality and Regency as the subjects. The obtained data were analyzed using the descriptive-explorative approach. The findings reveal that the high-achievers in Mathematics showed good skills in the aspects of fluency and flexibility, but were still struggling in the novelty aspect.  The average-achievers showed good skills in flexibility aspects but were lacking in the fluency and novelty aspects. They showed an understanding of Mathematics problems but found it difficult to decide the solving strategies, and thus their answers were lacking in structure and less systematic. When solving a problem, the calculation made seemed rushing, was less careful, and frequented with trial and error strategy. The low-achievers showed difficulties in understanding the problems. Their answers were not systematic, not well-structured, and not detailed. This indicates that the low-achievers had not shown creative thinking skills in fluency, flexibility, and novelty aspects.

New Inquiry-Based Learning (NIBL) was developed to improve students’ multiple higher-order thinking skills (MHOTS), such as thinking critically, analytically, creatively, and practically (CACP). This study aimed to examine the increase of students’ MHOTS ability, their perceptions of the NIBL model, and the contribution of the NIBL model to the learning outcomes.  A quasi-experiment of the nonequivalent control group design was implemented in this study. Research subjects were university students majoring in chemistry education and enrolling in the Organic Chemistry course. The experiment and the control groups consisted of 34 and 32 students, respectively. The collected data were analyzed by using t-test and ANCOVA procedures. N-Gain scores were calculated to measure the differences in the increase in learning outcomes. Eta square values measured the contribution of NIBL. The results of this study revealed that there were differences in the learning outcomes of the experiment and control group. The CACP thinking skills and the mastery of organic chemistry concepts of the experiment group increased significantly. The N-Gain scores of practical thinking skills aspect were on medium category, and for critical, analytical, and creative thinking, as well as for mastery of organic chemistry concepts were on high categories. For the control group, the N-Gain scores of all categories were on low or medium categories. The NIBL model effectively improved the prospective chemistry teachers’ M-HOTS in terms of CACP thinking skills and contributed significantly to the increase in the students’ mastery of organic chemistry concepts.

Nowadays, teaching and learning activity employing the flipped classroom model has an important position in the process of providing education. This research aimed at identifying and analyzing articles examining the flipped classroom model that has been published in several reputable international journals issued in the 2010-2019 timeframe, which was conducted using bibliometric studies. The research was conducted using a 4-stages systematic mapping method: (1) searching for articles using the Publish or Perish application in the Scopus database, (2) classifying the articles for the bibliometric analysis, (3) checking and completing the metadata of those articles, and (4) conducting bibliometric analysis using VOSviewer application. The bibliometric analysis produced seven findings, as follows: (1) the trend of flipped classroom publications continued to increase from 2013-2019; (2) the ten most contributive journals has published 88 articles by 2019; (3) the ten most cited articles has produced 1,155 citations; (4) the three highest order of author keywords most widely used in flipped classroom articles were flipped classroom, active learning, and blended learning; (5) author collaboration with strong links only occurred in 21 authors through one document; (6) institutional collaboration with strong links formed through 28 collaborating institutions; and (7) state statistics were formed into three clusters and spread across various countries through contributions from authors who were in charge of 456 institutions. The flipped classroom model can be concluded as an educational model that is currently popular among researchers.

This study aimed at analyzing the implementation of authentic assessments and constraints faced by junior high schools' teachers in mathematics teaching. A qualitative approach was applied in the study. The data on the implementation of authentic assessments and constraints were obtained from 50 mathematics teachers in several public junior high schools in Malang City, East Java Province-Indonesia, trained by the 2013 curriculum. Documentation, questionnaires, observations, and interviews were used to collect the data. The study results showed that most teachers implemented authentic assessments in mathematics teaching as designed in the learning plan. The obstacles faced by the teachers in the implementation of the authentic assessment included the time limit and accuracy. The efforts made by the teachers varied, but the teachers tried to administer the authentic assessment properly following the demands of the curriculum.

This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things that are fundamental and essential from the ZPD and ZPC phenomena. Researchers observed mathematics learning by a teacher on 24 fourth-grade students who were divided into groups A (high IQ) and B (low IQ). Data collection through tests, observation, and interviews. While the validity of the data is done through triangulation of methods and triangulation of sources. The results showed that students of the Upper (A) group had high IQ but small ZPD and ZPC. In contrast, students in the Lower (B) group have low IQ but large ZPD and ZPC. This result means that intelligence (IQ) is measured not only logically-mathematically but also in the verbal-linguistic and spatial-visual fields. The conclusion is that there are differences in the construction of students' knowledge in the learning zone. This difference occurs because the knowledge constructs that the students have previously had an effect on the accommodation process of the schemes that students have built while in the proximal development zone (ZPD) where scaffolding works. Meanwhile, the potential construction zone (ZPC) is not sufficient to describe the real development of students. However, it only reflects what students have accomplished.

The implementation of Lesson Study (LS) varies considerably across countries and institutions and is still in a phase of adaptation and experimentation. This article explains the result and the process of a school-based initiative endeavor to implement LS at a suburban elementary in Padang, Indonesia. The study involved 13 teachers, the principal and 6 classes of students. The data were collected through observation and interview. They were classified on the basis of three noticeable emerging themes- teacher collaboration, scaffolding, and reflection. The data were analyzed qualitatively. The results of data analysis reveal a promising improvement in these aspects. Implementing school- support LS increased by weaving the concept into practice helped teachers develop their professionalism gradually. It was obvious that the teachers felt more at ease to work collaboratively when they designed the lesson. This also affected their design which showed more meaningful learning activities and challenging tasks. Then, the teachers improved the way they scaffolded the pupils. The content of reflection and the way the results of reflection were conveyed became better. The principal’s support and the teachers’ strong willingness to elevate their quality apparently took an important role. In spite of that, there were some challenges in carrying out collaboration, providing appropriate scaffolding, and doing reflection. Changing the teachers’ common practice to LS apparently needs some adjustment and time.

The aim of this study is to analyze and explain the mathematical connection process for students with a high mathematical ability to solve problems in terms of gender. Explorative descriptive research with a qualitative approach was used in this study. Data was collected through written tests and interviews conducted to a male and female student of class X Mathematics and Natural Sciences with high mathematical abilities. Data credibility is obtained through triangulation of methods and time. Furthermore, the data are analyzed with a flowchart which includes data reduction, data presentation, and conclusion drawing. The results showed that there were similarities and differences in the mathematical connection processes of male and female students. Similarities in the process of mathematical connections occur when making mathematical connections with other sciences and with everyday life in each of Polya's stages. In addition, the similarity of the connection process also occurs when connecting in mathematics during the re-checking stage. While the difference in the connection process in mathematics between male and female students is done at the stage of understanding the problem, solving strategies and implementing problem solving.

This longitudinal study focuses on evaluating grade 7-9 school students’ perceptions of intervention modules intended to be relevant, as well as promoting learning attributes to raise awareness of science-related careers. Students are taught through six purposely developed and designed career-related teaching–learning modules (C-TLMs). Each module is initiated by means of a career-related scenario, followed up by promoting conceptual science learning plus drawing attention to careers to which each module intends to relate. Student perceptions are obtained by means of a questionnaire after each module with respect to its relevance and also the mean by which the learning environment raise interest, enjoyment and motivation associated with career awareness. Outcomes show that, in general, students participating in this study agree that the developed C-TLMs are relevant and students value the learning experienced through the different module contexts. Nevertheless, student appreciation of the specific inclusion of career awareness components in the modules is mixed.

This research aimed at analyzing the influence of ‘Process Oriented Guided Inquiry Learning’ model assisted by realia media, in which it was to improve the scientific literacy and critical thinking skill of primary school students, especially for the material of energy. This quasi-experiment research used single factor independent groups design. The research sample of this research were fourth grade students of SD Inpres Oeba 2 Kupang City, East Nusa Tenggara Province, of which students were in the academic year of 2019/2020. The technique of sample collection was carried out purposive sampling for 2 classes. The IVA class was used as the experimental class (POGIL model assisted by the realia media), in which it consisted of 30 students and the IVB class was used as the control class (expository learning) that consisted of 28 students. The learning was carried out in four meetings. The data of scientific literacy and the results test of critical thinking were collected by means of objective test on the energy material. Multivariate Analysis of Variance (MANOVA) was used to analyze the data using significance level of 0.05. The results indicate that (1) There is a significant difference between the students’ scientific literacy who gain the POGIL learning assisted by the realia media and the students’ scientific literacy who get the expository learning; and (2) There is a significant difference between the critical thinking of students who get POGIL learning assisted by realia media and the students who get the expository learning. It can be concluded that there is a significant difference between the scientific literacy and the students’ critical thinking taught by the POGIL learning that assisted by realia media to the students who use expository learning. Since there is a significant difference, it means that the POGIL learning assisted by realia media has an influence on the students' scientific literacy and critical thinking.

This research aims to determine the relationship between the seven components of Pedagogical Content Knowledge possessed by kindergarten teachers. The animal theme was chosen to determine the pedagogical content knowledge component profile of 30 kindergarten teachers, with data obtained through classroom observation, interviews, learning plan documentation. This study employed a mixed-method design, a type of sequential explanatory research with the structural equation modeling-partial least squares and descriptive tests used to quantitative and qualitatively analyze the data obtained. The result showed that: the relationship between the components is specified in the context of using themes to learn in the kindergarten; analysis of the relationships between the components is carried out separately, such as the relationship of all 7 (seven) components to 1 (one) pedagogical content knowledge component of kindergarten teachers; Orientation of teaching has the strongest relationship with Knowledge of Instructional Strategies for Teaching; Knowledge of assessment of early childhood education has the weakest relationship with knowledge of early childhood education subject matter; pedagogical content knowledge components for kindergarten teachers that are often found and associated with other components in a learning episode are orientation of teaching, knowledge of early childhood education curriculum, and knowledge of instructional strategies; there are pedagogical content knowledge component for kindergarten teacher that often found and connection with other component in a learning episode.

The aim of this study was to identify and classify the student’s concept image and its influence on the reasoning of the problem-solving of the derivative. The research used a qualitative description approach and used eight research subjects. From the answers collected upon the given problems, we obtained several variations of students’ concept images, thus it showed how students’ concept image influenced the reasoning. In order to clarify and classify the characteristic of the obtained answers, we summarized there were three categories of the concept image of the derivative, namely symbolically related to a basic formula of the derivative of a function, limit of the ratio of difference value of the functions, and the properties of the derivative of the functions. Furthermore, our study suggested that each student’s concept image affecting the reasoning of the derivative. In addition, we found some misperceptions in answering the problem and misconception in the use of the basic formula of the derivative of the functions among the students’ answers.

This research aims to describe the expectations of prospective teachers for students' mathematical thinking processes in solving problem-based on the Polya model. This model is perceived by the theory of mathematical thought processes proposed by Mason. A descriptive method with a qualitative approach was used in this research. The research subjects were 25 students from the Department of Mathematics Education, Ibrahimy University. The test was given to collect data related to mathematical thinking processes expected by prospective teachers to students. Collected data including observations, tests, and interviews were tested in the aspect of their validity by triangulation. The qualitative descriptive was used to analyze the data. The results indicated that: (1) The average GPA (Grade Point Average) of the high, medium, and low group prospective teachers' were 93.25; 89.89; and 83.63 with a standard deviation of 1.754 each; 1.054; and 5.370, respectively (2) The prospective teachers expected that the students' mathematical thinking processes were able to carry out all of four mathematical thinking processes based on Mason Theory; (3) The prospective teachers expected that students were able to use Mason Theory on every stage of the Polya model problem solving; and (4) The expectation of prospective teachers were specializing (89%), generalizing (75%), conjecturing (62%), and convincing (59%). The results suggest for following up in a teachers or lecturer’s meeting in order to find out the expectations of their students' mathematical thinking processes, both in mathematics or other disciplines.

Metacognition in science teaching involves processes that include self-awareness and self-regulation. Metacognition enables the teachers to facilitate student learning and to reflect on their teaching in order to enable themselves to improve or to make any changes to their teaching. In particular, teaching activities, especially in the 21st century, do not merely involve the transfer of knowledge and then applying that knowledge into daily life, but teachers need to reflect, plan and evaluate learning outcomes to enhance further in teaching. This study attempts to gain the perspective and implementation of metacognition skills in teaching science in the primary school classroom. The data was collected through a qualitative research method based on interviews with six science teachers in primary school using semi-structured interview protocol. The interview data were analysed for emerging themes, guided by the research questions. Teachers have a similar perspective of the understanding of metacognition in science teaching. Further discussion focuses on the implementation of metacognition in science teaching. This discussion is divided into three aspects, which are constraints faced, overcoming the constraints, and efforts made to implement metacognition in science teaching. Hence, the understanding of science teachers in regards to metacognition in science teaching is important and gives a positive impact towards teaching and learning in primary science teaching.