This study investigated the development of problem-solving strategies demonstrated by 42 elementary pre-service mathematics teachers in problem-solving mathematics classes. The study used a mixed methods approach of quantitative and qualitative research by analyzing the collected data.. The quantitative portion calculates the frequencies and percentage of the participants’ responses to the problems posed in three different phases of the intervention: before, during, and after receiving the mathematics lessons. The qualitative approach was used for in-depth investigation to describe various mathematical problem-solving strategies demonstrated by participants across the three different research phases. Findings of the study indicated a limited number of problem-solving strategies present during the first phase of research such as “use arithmetic operation strategy,” and “make a drawing strategy,”. During the implementation of the problem-solving lessons and classroom discussion, the participants began to develop more strategies such as  “use logical reasoning,” “solve a simpler problem,” “guess and check,” “organize data in a table or a list,” “look for a pattern,” “work backwards,” and “solve an equation,”. However, the research findings nonetheless revealed participants’ weakness in applying the variety of skills required for success in problem solving, such as interpreting information, mathematical working, and logical thinking. Results also demonstrated a limited and incorrect use of mathematical terminology, as well as a lack of problem comprehension. The discussion of the study addresses different features and issues related to mathematical problem-solving strategies. In light of its findings, this study presents recommendations and suggestions for the future development of pre-service teachers’ problem-solving strategies.

The empowerment of metacognitive skills has an important role in increasing the capacity of critical thinking and active control of students' cognitive processes in learning. Metacognitive skills can be enhanced through the implementation of learning strategies involving higher-order thinking. The RQA, ADI, RQA integrated with ADI are constructivistic learning strategies that can accommodate these skills. The researches specifically examining the correlation between metacognitive skills and critical thinking skills at the implementation of RQA, ADI, and RQA integrated with ADI learning strategies are still rarely found. This research is a correlational research, aiming at revealing the correlation between metacognitive skills and critical thinking skills. The data of metacognitive skills and critical thinking skills are collected by using a valid and reliable essay test. The samples of this research are the fourth semester (IV) biology education students programming Animal Physiology course in the 2016/2017 academic year consisting of 109 students. The results of this research show that (1) there was a significant correlation between metacognitive skills and critical thinking skills at the implementation of the four learning strategies, (2) the regression equations analyzed using Anova obtain regression lines (not coincide), and non parallel regression lines (intersected); meaning that there is a difference in the increase rate and magnitude of the critical thinking skills influenced by the four learning strategies. It is expected that the teachers and the lecturers always strive to improve the quality of the learning process through the implementation of active and constructive learning strategies.

This research study presents the PGBE model for teaching and learning percentages with students of Grade 7 when their cognitive development enables the conceptual understanding of percentages as proportional statements, and offers the possibility for more effective matching of them with fractions and decimal numbers. The abbreviation PGBE presents the interrelation of the poster method and three instructional models through which different types of students’ mathematical knowledge about percentages can be built. Hence, P stands for the poster method through which the recognition of students’ previous knowledge about percentages can be done, G represents different grids that can be used for building concrete type of knowledge about them; B signifies the bar model for developing students’ proportional understanding of percentages, and E represents the extended bar model for fostering students’ principled-conceptual understanding of percentages. The effectiveness of the implementation of the PGBE model is assessed by organizing two cycles of piloting and conducting the experimental method with 263 students of ten Grade 7 classes. The results of the study show that the implementation of the PGBE model has had an impact on the learning of students, stimulating an in-depth learning and a long lasting knowledge about percentages for this cohort of students.

The development of the revolution era 4.0 which increasingly rapidly demands the wider community to have the ability to think creatively mathematically. One effort to improve the ability to think creatively is through quality education. Quality education can be improved through to train thinking using the right learning model. This study aims to see which results are more effective in improving students' thinking skills between the two learning models applied. The two models are Problem Based Learning (PBL) and Aptitude Treatment Interaction (ATI) models. This research method uses quasi experimental method with a posttest only control test design not control group. This study uses two group subjects with two experimental classes. The analysis of the data used the hypothesis testing of the non-correlated 2-sample t-test. Based on the research results obtained Aptitude Treatment Interaction (ATI) models have a better effect on students' creative thinking abilities compared to Problem Based Learning (PBL) models.

This research aims to develop open ended-based worksheet in improving students' high-level thinking skills on static fluid materials. The method used in this research is Research and Development (R&D) with 3 steps namely, the initial stage, then the design and development of the product, and finally the product testing. The data analysis technique for product effectiveness is with the main field trials, namely (1) N-gain analysis, (2) paired t-test, (3) ANCOVA, and finally (4) effect size test. From the test results obtained information that conducted 10 students showed the results of the development worksheets obtained the average worth of development products by 90% this value is included in the very high category, while the student response of the average of 88% and also the readability response of 89% in the very high category. In the results of the n-gain analysis also show the value is0.70, that mean medium category. From the results of this study, it can be concluded that worksheets based on open ended can improve students' higher-order thinking skills. So, in further development we suggest that open ended-based on worksheet is not only applied to static fluid material, but also in other materials.

This research aims to find out: (1) the more effective learning model on students' divergent-thinking skills; (2) the better adversity quotient on students' divergent-thinking skills; (3) the better adversity quotient to improve students' divergent-thinking skills in each learning model; and (4) the better learning model to improve students' divergent-thinking skills in each adversity quotient. This research uses a quantitative approach with a quasi-experimental type. The fifth-grade students were selected as the research subjects. This research was carried out at the public elementary schools in Laweyan District, Surakarta, Indonesia. Test and questionnaire techniques were used to collect data. The data analysis was performed with the analysis prerequisite, hypothesis, and multiple-comparison tests. The results showed that the learning model and adversity quotient have an influence on divergent-thinking skills; for each adversity quotient, the thinking actively in a social context learning model is better than the creative problem solving and direct instruction learning model; the creative problem solving learning model is better than the direct instruction learning model; and adversity quotient of the climbers is better than that of the campers and the adversity quotient of the campers is better than that of the quitters in each learning model.

This study aims to determine the impact of the ECIRR(Elicit, Confront, Identify, Resolve, Reinforce) learning model on students' mathematical reasoning abilities in terms of student motivation. The research method used was a quasy-experimental method with a post-test only control design research design. The population of this study was all students in five classes XII Private School. The Samples were taken at class XII AP-2 and XII MM-1 as the experimental class, and class XII AP-1 and XII MM-2 as the control class. The data analysis technique used is hypothesis testing using ANAVA 2 paths. Based on the research results obtained that (a) There is an influence of the ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model on mathematical reasoning abilities. (b) There is an influence of student learning motivation on mathematical reasoning abilities. (c) There is no interaction between the treatment of learning models and categories of students' learning motivation towards mathematical reasoning abilities. So as a whole it can be concluded that the ECIRR (Elicit, Confront, Identify, Resolve, Reinforce) learning model influences the ability of mathematical reasoning and can increase students' learning motivation.

The identification of students’ mental models is crucial in understanding their knowledge of scientific concepts. This research aimed to develop a Mental Models Representation Instrument on Newton's Laws (MeMoRI-NL). The ADDIE (Analyzing, Designing, Developing, Implementing and Evaluating) model was used as a research method. The sample consisted of 30 students of 15-16 years-old at one of senior high school in Tatar Pasundan. The data was examined using Rasch analysis on validity, reliability, level of difficulty, and distributions of students’ mental models. Students’ mental models were classified as Scientific (SC), Synthetic (SY), Synthetic almost Misconception (SYM), and Initial (IN) model. Based on the evaluating stage, students’ mental models are mostly in the SYM and IN model. Consequently, it can be concluded that the Mental Models Representation Instrument on Newton's Laws (MeMoRI-NL) can be developed using the ADDIE model and most of the students' mental model has not been following scientific knowledge. Based on this research, teachers or educators should enhance students' mental models, especially for female students.

Mathematics is one of the most challenging subjects for many students. A similar problem is faced by special needs students, such as students with Autism Spectrum Disorder (ASD). Various instructional strategies are implemented by specialists to help ASD students understand mathematics in schools. To explore the impacts of an instructional strategy of mathematics on ASD students, the authors conducted a review of literature from 2011 to 2017 using various databases including ProQuest Digital Dissertations and Theses Full Text, Google Scholar, and Science Direct. A total of 39 articles were found. Most of the instructional strategy aimed to assist ASD students in solving mathematics problems. The implications of the study are also discussed in this literature review, which indicates that teachers need to use the appropriate instructional strategy to meet the needs of students with ASD and maximize their mathematics learning outcomes in schools.

This study aims to determine the effect of the application of the Search, Solve, Create, and Share (SSCS) learning model to the mathematical reflective thinking skills and the students' mathematical problem-solving abilities. This research is a type of Quasi-Experimental Design research with a 2x2 factorial research design. Data collection techniques in this study in the form of documentation and tests at Private school in Bandar Lampung with 28 students of experiment classes and 28 students of control classes. Data analysis techniques used are the normality test and homogeneity test. Testing the hypothesis in this study using the Multivariate Analysis of Variance (MANOVA) test. Based on the results of the study, The calculation of the MANOVA test, it was concluded that there was an influence on the application of the SSCS learning model to students' mathematical reflective thinking skills. The application of the SSCS learning model to the mathematical reflective thinking ability has an influence percentage of 91.9%. The application of the SSCS learning model to mathematical reflective thinking skills and mathematical problem solving abilities has a relatively high level of effectiveness.

Problem-solving and mathematical communication are essential skills needed by students in learning mathematics. However, empirical evidence reports that students’ skills are less satisfying. Thus, this study aims to improve students’ problem-solving and mathematical communication skills using a Metacognitive-Based Contextual Learning (MBCL) model. A quasi-experimental non-equivalent control group design was used in this study. The participants were 204 fifth-grade students; consisting of experimental (n = 102) and control (n = 102) groups selected using convenience sampling. This study was conducted in four Indonesian elementary schools in the first semester of the academic year 2019/2020. The Problem-Solving Skills Test (PSST) and Mathematical Communication Skills Test (MCST) were used as pre- and post-tests. In order to analyze the data, one-way ANOVA was used at the 0.05 significance level. The results showed that students in the experimental group had higher post-test scores than the control group in terms of problem-solving and mathematical communication skills. It can be concluded that the MBCL effectively promotes fifth-grade students’ problem-solving and mathematical communication skills. Therefore, it is suggested that MBCL should be used more frequently in primary school mathematics to further improve students’ problem-solving and mathematical communication skills.

Learning models that can improve critical thinking, skills collaborate, communicate, and creative thinking are needed in the 21st-century education era. Critical and creative thinking are the two essential competencies of the four skills required in the 21st century. However, both are still difficult to achieve well by students due to a lack of thinking skills during mathematics learning. This study was conducted to determine the model of learning that is appropriate to develop students' critical and creative thinking skills. The study used three-class samples from eighth grade. The first class is given the problem-posing lesson; the second class is given contextual learning and third class as a control class. The results of the study indicate that improving students' critical and creative thinking skills are included in the moderate category for types using contextual learning and problem-posing. Also, it is found that contextual learning is more effective for improving critical thinking skills when compared with learning problem posing and expository learning. Meanwhile, learning problem posing is more useful to enhance creative thinking skills compared with contextual and expository learning.

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 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.

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.

Skill in processing waste is an essential attitude needed in daily life because environmental pollution issue is one of the important parts that are learned in science subject. It is required students’ self-confidence and creativity in processing waste into a useful product. This research aims to improve students’ confidence and creativity through science wastepreneurship learning model. This research used experimental posttest-only design with nonequivalent groups design. Total of the samples were 140 students who were divided into experiment group (n = 75) and control group (n = 65). Statistic data analysis was carried out through Two-way ANOVA in significance level of 0.05. This research showed that the self-confidence and creativity of students on posttest finding in experiment group is higher than control group. It can be concluded that science wastepreneurship learning model was effective in improving students’ confidence and creativity in processing waste. Therefore, science wastepreneurship learning model is suggested to be more often used by the teachers in Junior High School.

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.