The objectives of this study were to analyze the validity, practicality, and effectiveness of South Kalimantan local wisdom-based biology learning and its effect on student learning outcomes. The research method used is research and development. This research was in a Develop stage of Thiagarajan’s Model. This development has produced learning models (lesson plans, student’s worksheet, learning achievement test questions, teacher activity sheets, student activity sheets, and student response sheets). The local wisdom-based learning model were designed with seven stages using Banjar language (regional language of South Kalimantan). Model that have been developed were tested for the level of validity, practicality, effectiveness, and its effect in learning. The level of validity is determined based on the assessment and review of the four validators. To find out the effectiveness and the effect of the learning model, quasi-experimental design was applied by involving two classes at SMAN 7 Banjarmasin-Indonesia. Data were collected using a variety of instruments, namely the validity assessment sheet, the student’s worksheet and lesson plan sheets, student achievement test questions, and student response sheets. Data analysis was implemented to measure the effectiveness and the effect of learning by calculating n-Gain and ANCOVA, respectively. The results, the learning tools met the "valid" criteria so that it can be implemented. Learning also concluded having good practicality criteria. Moreover, it can be seen that the application of local wisdom-based learning model and tools was quite effective in improving student learning outcomes, in contrast to learning in the control class. Furthermore, ANCOVA test concluded that there were significant differences in learning outcomes between students in the experimental and the control class.

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.

Research on critical thinking skills has been frequently carried out, but it has not shown maximum results. This problem is exacerbated by the differences in pre-service teachers’ academic abilities. A new learning model that can improve pre-service teachers’ critical thinking skills and reduce the gap in critical thinking skills among the upper, middle, and lower academic ability pre-service teachers is needed. This research aims at exploring the potential of the QASEE learning model on the critical thinking skills of different academic ability. This quasi-experimental research involved 107 pre-service teachers of Universitas Islam Negeri Raden Fatah, Indonesia. The research classes were divided into three classes, namely the QASEE class (experimental class), the RQA class (positive control class), and the conventional class (negative control class). Each class was further divided into upper, middle, and lower academic categories. The data were collected using an essay test supported by a critical thinking skill rubric. The data were analyzed by using ANCOVA and followed by LSD test. The research results show that the QASEE (Questioning, Answering, Sharing, Extending, and Evaluating) learning model can improve and equalize the critical thinking skills of pre-service teachers with various academic levels. Thus, the QASEE learning model can be used as a new reference to improve pre-service teachers’ critical thinking skills, especially the lower academic ability.

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.

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 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.

The constraints of history learning in the Indonesia curriculum are the weekly time is only one hour of lessons and the material is quite dense, if delivered with an explanation and discussion the time is not enough. Therefore, it was sought how to get all material delivered and students not bored. Learning this model is done to condition students as a center of learning, increase creativity and learning outcomes, the project undertaken is called the MANSA Historical board game (MANSA is taken from the abbreviation of our school name). In this case, students are asked to create, design their own board game on a different topic for each group. This study aims to determine the differences in learning outcomes and creativity between the control class and the experimental class of students at senior high schools in Salatiga, Indonesia. The research model used is quasi-experimental. The respondents of the research were 35 students in the experimental class and 35 students in the control class, who had the same homogeneity in creativity and learning outcomes. The results showed that the MANSA Historical board game had a significant effect on creativity and student learning outcomes. It is proven that creativity and student-learning outcomes can be increased. As shown by the mean different test results, there was a difference in the creativity of 0.593 and a learning outcome of 4.224 between the control class and the experimental class before and after treatment. The results showed a difference in learning outcomes between the control class and the experimental class. The average learning outcomes of the experimental class are higher than the average learning outcomes of the control class, as well as student creativity.

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.

The article deals with mathematical literacy in relation to mathematical knowledge and mathematical problems, and presents the Slovenian project NA-MA POTI, which aims to develop mathematical literacy at the national level, from kindergarten to secondary education. All of the topics treated represent starting points for our research, in which we were interested in how sixth-grade primary school students solve non-contextual and contextual problems involving the same mathematical content (in the contextual problems this content still needs to be recognised, whereas in the non-contextual problems it is obvious). The main guideline in the research was to discover the relationship between mathematical knowledge, which is the starting point for solving problems from mathematical literacy (contextual problems), and mathematical literacy. The empirical study was based on the descriptive, causal and non-experimental methods of pedagogical research. We used both quantitative and qualitative research based on the grounded theory method to process the data gathered from how the participants solved the problems. The results were quantitatively analysed in order to compare the success at solving problems from different perspectives. Analysis of the students’ success in solving the contextual and non-contextual tasks, as well as the strategies used, showed that the relationship between mathematical knowledge and mathematical literacy is complex: in most cases, students solve non-contextual tasks more successfully; in solving contextual tasks, students can use completely different strategies from those used in solving non-contextual tasks; and students who recognise the mathematical content in contextual tasks and apply mathematical knowledge and procedures are more successful in solving such tasks. Our research opens up new issues that need to be considered when developing mathematical literacy competencies: which contexts to choose, how to empower students to identify mathematical content in contextual problems, and how to systematically ensure – including through projects such as NA-MA POTI – that changes to the mathematics curriculum are introduced thoughtfully, with regard to which appropriate teacher training is crucial.

The objective of this research is to analyze the twelfth graders' mathematics critical thinking skills using a mathematics learning model to stimulate fundamental critical thinking abilities of science courses in SMA Negeri, Pacitan Regency, East Java Province, Indonesia. This quasi-experimental research design was used in this study with one group posttest only design using multiple substantive posttests. The sample of 141 students from the total population of six public schools involving the twelfth graders of the natural sciences was selected through purposive sampling technique, data were taken through tests of students' critical thinking skills and interviews. The data analysis consists of five stages, namely an analysis of one sample t-test, an analysis of students' grades, an analysis of problem-solving stages, an analysis of critical thinking abilities indicators, and an analysis of mathematics critical thinking abilities indicators. The results showed (1) The results of the one sample t-test show that the mathematics learning model is effective to stimulate critical thinking, which means that the application of the mathematics learning model is effective to stimulate critical thinking; (2) the overall grades of students that met the minimum mastery criteria; (3) the data analysis of eleven problem-solving stages proves that the criteria for critical thinking abilities are categorized as good and very good. The highest score indicator considers the principle and definition of transformation, while the lowest grade indicator is mainly concerned with the questions on right and coherent steps; (4) the critical thinking skills have seven indicators that highlight the criteria of students' critical thinking abilities categorized as good and very good. The indicators that get the highest score determine the definitions of terms, while the indicators of the lowest score determine the action; (5) the results of the analysis show indicators of mathematics critical thinking skills that have eight indicators. The criteria of students' critical thinking abilities met good and very good categories along with indicators with the highest value score by considering the definitions of terms, while the indicators of the lowest score deal with the habit of caution.

Industrial revolution 4.0 is currently present in various countries, including Indonesia. Indonesia responded quickly through technological developments, especially education. The actions of the Indonesian government to deal with industrial 4.0 are contained in the 4C principle, one of which is Critical Thinking. The Science, Technology, Engineering, and Mathematics (STEM) learning approach has become an alternative in building critical thinking skills, especially in science learning. The purpose of this study is to quantitatively measure the impact of the STEM-inquiry model based on the K-13 Indonesian Curriculum towards critical thinking skills of 15-16 years old students. This study employed quasi-experimental with non-equivalent control group design at SMAN 1 (State Senior High School) Padang Cermin, Lampung, Indonesia. The research subjects consisted of 50 students. The critical thinking skill was measured through 10 items of an essay question on the momentum and impulse material. Based on the results of the non-parametric statistical hypothesis test Mann Whitney, the significance level of 0.004 was obtained (sig <0.05). The results of the hypothetical test showed that the student's critical thinking skills before and after using the STEM-based inquiry model were different. It can be concluded that the application of the STEM-based inquiry model was effective in increasing students' critical thinking skills.

Professional teaching competence is significantly influenced by beliefs about teaching and learning. Prospective teachers start their teacher training with quite persistent beliefs about learning processes. These beliefs are mainly influenced by the way they experienced their own lessons as a student at school. Previous biology lessons at school might be linked to the imagined biology lessons of prospective teachers. We interpret these future lessons as a representation of their beliefs about teaching and learning. The present study investigated how prospective teachers remembered their previous biology lessons as well as how they imagine the lessons they will conduct in the future. The drawings of 181 prospective biology teachers in Germany (Mage = 22.1; SD = 3.6; 64.1 % female) were analyzed using the Draw-a-Science-Teacher-Test Checklist (DASTT-C). Results of the study indicate that the lessons they experienced were mainly teacher-centered, whereas the lessons they imagined were mainly student-centered. Results of a chi-square-test indicate that there is no connection between these two drawings of biology lessons. This suggests that experiences from one’s own schooling may have no connection with the way prospective teachers would like to teach in the future. The results of this study might be used as a basis for further studies examining the development of prospective biology teachers’ beliefs about teaching and learning.

This paper explores misconceptions and errors (M/Es) of eighth-grade students in Nepal with a quasi-experimental design with nonequivalent control and experimental groups. The treatment was implemented with teaching episodes based on different remedial strategies of addressing students' M/Es. Students of control groups were taught under conventional teaching-learning method, whereas experimental groups were treated with a guided method to treat with misconceptions and errors. The effectiveness of treatment was tested at the end of the intervention. The results showed that the new guided treatment approach was found to be significant to address students' M/Es. Consequently, the students of experimental groups made significant progress in dealing with M/Es in mathematical problem-solving at conceptual, procedural, and application levels.

This research is motivated by a linear equations system, which is the basis for studying necessary linear algebra materials, such as rank, range, linear independent/dependent, linear transformations, characteristic values and vectors. There are still prospective mathematics teachers who have difficulty solving linear equations system and understanding the form of row echelon and reduced row echelon forms. In this study, subjects were three prospective mathematics teachers from Swadaya Gunung Jati University Cirebon who were taking matrix algebra courses. This study aims to reveal the conceptual understanding of prospective mathematics teachers in determining the solution to systems of linear equations. The results show that there are still prospective mathematics teachers who only use memory about the properties and procedures in determining whether a matrix is said to be a row echelon form or a reduced row echelon form. Then, there is still weakness in building the algorithms' relationship due to the immature knowledge of the concepts. Researchers found that many prospective mathematics teachers were more comfortable solving problems that were performed procedurally. Further research is needed to determine how the mental construction process and mathematical conceptual knowledge of prospective mathematics teachers are through meaningful learning so that conceptual understanding is maximized.

Teaching mathematics in general and instructing mathematics at junior schools in particular not only create favorable conditions for students to develop essential and core competencies but also help students enhance mathematical competencies as a foundation for a good study of the subject and promote essential skills for society, in which mathematical communication skill is an important one. This study aimed to train students in mathematics communication by presenting them with topics in line with the structure's congruent triangles. An experimental sample of 40 students in grade 8 at a junior school in Vietnam, in which they were engaged in learning with activities oriented to increase mathematical communication. A research design employing a pre-test, an intervention, and a post-test was implemented to evaluate such a teaching methodology's effectiveness. For assessing how well the students had progressed in mathematical language activities, the gathered data were analyzed quantitatively and qualitatively. Empirical results showed that most students experienced a significant improvement in their mathematical communication skills associated with congruent triangles. Additionally, there were some significant implications and recommendations that were drawn from the research results.

Science, technology, engineering and mathematics (STEM) education is regarded as one of the formulas to embracing many of our imminent challenges. STEM education benefits the learners by encouraging interest in STEM disciplines. This daunting task needs everyone’s concerted efforts in creating and innovating mathematics teachers’ classroom practices Therefore, a systematic review was conducted to identify best practices for STEM education following the guidelines of the Preferred Reporting Items for Systematic Review and Meta-Analyses (PRISMA) by Moher et al. (2015). The reviewed articles were published from 2016 to 2020 and accessed using the Scopus and Web of Science (WoS) databases. Three themes for best practices were identified namely (a) core competencies encompassing 21st-century teaching skills; (b) instructional designs; and (c) requisite STEM execution. Results of PRISMA determined the dominant STEM practices were critical thinking, communication, collaboration, problem-solving, research-based pedagogy, problem-based learning and project-based learning, technological integration, accessibility, professional development and learning support, evidence of effectiveness, access to materials and practitioner support, and scalability. Mathematics teachers should determine the best STEM practices to employ even though there is a lack of studies on integrated STEM domains. When more students are interested in venturing and exploring into the field of STEM, the high demand for STEM related careers could be met by the younger generation.