EISSN : 2442-4226
Current Publisher: Universitas Hamzanwadi (10.29408)
Total articles ≅ 120
Latest articles in this journal
Jurnal Elemen, Volume 7, pp 1-14; doi:10.29408/jel.v7i1.2460
Disaster mitigation efforts in learning mathematics need to be done to foster a disaster awareness attitude in students through higher-order thinking skills (HOTS) questions in mathematics with a disaster context. One effort that can be done is to design mathematics problems in a disaster context. This study aimed to obtain valid HOTS mathematics questions in the disaster context for junior high school students. This research is development research that is limited to the self-evaluation and expert review stages only. This study obtained 16 HOTS questions in mathematics with disaster context for junior high school students, which were valid both in terms of content and construct. The disaster context used includes drought, tsunami, earthquakes, volcanic eruptions, climate change, landslides, forest fires, and floods. The implication of this research is that valid questions can be used by teachers in the teaching and learning process in the classroom.
Jurnal Elemen, Volume 7, pp 29-57; doi:10.29408/jel.v7i1.2676
Learning mathematics has a significant contribution to the students’ daily activities, one of which is on social arithmetic topic. The implementation of social arithmetic, in general, is mostly found in buying-selling and banking activities. However, students still find difficulties in understanding this topic. It is because the teaching and learning activities still use a conventional approach, which restricts the students to imagine how it is implemented in daily life. Therefore, this paper aims to describe the innovative learning activities of social arithmetic among junior high school students using the Realistic Mathematics Education (RME) approach. This research was conducted in three meetings, and the researcher acted as the teacher in the class. The results showed that the innovative learning of social arithmetic using the RME approach and word problems could improve the students’ learning outcomes with an average score of 81.92% and 92.59% of the total of students scored above passing grade.
Jurnal Elemen, Volume 7, pp 19-28; doi:10.29408/jel.v7i1.2655
Geometry is an essential subject for students. However, geometry, especially the cone, remains a challenging material for students. Besides, we need the proper media and context for learning mathematics on cone material. This research aims to develop a learning trajectory that utilizes the Megono Gunungan tradition as a context in the learning process using the Indonesian Realistic Mathematics Education (PMRI) approach. The research method used is Design Research, which consists of three phases of the study: preliminary design, experimental design, and retrospective study. This study's outcome is designing a learning trajectory on cone material using the Megono Gunungan tradition. This learning trajectory comprises four activities, including observing the interactive video of the Megono Gunungan tradition to discover cone elements, finding the concept surface area of a cone using origami paper, and grasping the cone concept volume with magic seeds, and solving contextual problems related to the cone. Studies have shown that using the Megono Gunungan context could help students improve their understanding of the cone concept. Furthermore, this study hoped could be an inspiration for exploring another local wisdom that can be a context in learning mathematics.
Jurnal Elemen, Volume 7, pp 117-129; doi:10.29408/jel.v7i1.2899
Integral calculus is a course where students tend to have difficulties in problem-solving. This study examines differences in mathematical beliefs in students' problem-solving skills based on mathematics prior knowledge. This study's subjects were 120 students of the Mathematics Education study program from UPH Faculty of Education. The independent variable is mathematical beliefs, the moderator variable is prior mathematics knowledge, and the dependent variable is students' problem-solving skills. This study is an ex post facto quantitative research with instruments in a Likert scale questionnaire for mathematical beliefs, problem-solving, and mathematics prior knowledge test scores. Hypotheses were tested statistically with a two-way Anova test using SPSS 16.0. The results of the study were: (1) students' problem-solving of logical consistency beliefs is higher than memorized and procedural beliefs, (2) there is an interaction between mathematical beliefs and mathematics prior knowledge on problem-solving, (3) students' problem-solving in high mathematics prior knowledge group of logical consistency beliefs is higher than memorized, and procedural beliefs, and (4) students' problem-solving in low mathematics prior knowledge group of logical consistency beliefs is lower than memorized and procedural beliefs.
Jurnal Elemen, Volume 7, pp 195-208; doi:10.29408/jel.v7i1.3003
Mathematisation ability of prospective teachers that was low in solving mathematical literacy problems needs serious attention. Therefore, to help prospective teachers do mathematization, they were employed by giving mathematical literacy problems. This study aims to produce mathematical literacy problems that were valid, practical, and have potential effects on the mathematization ability of prospective teacher students. The study was conducted using a design research type development study. Thirty students of prospective teachers in a private university in Sidoarjo became the subjects. Mathematical literacy problems’ qualities from this research should support prospective mathematics teachers in categorizing horizontal and verticalization activities. In addition, the problems were designed using the Program for International Student Assessment (PISA) framework with the Indonesian context. The results suggested that the developed mathematical literacy problems could be categorized valid based on validators’ evaluation, practically based on the small group phase results, and have the potential effects were assessed from the results of student tests handed in field test phase using mathematical literacy problems. The test results showed that 78% of prospective mathematics teachers were in the good category of mathematization ability after using the developed problems. The developed mathematical literacy problem has a potential effect so that it can be used as an alternative question in lecturing higher education activities to support the mathematics of prospective teacher students.
Jurnal Elemen, Volume 7, pp 146-163; doi:10.29408/jel.v7i1.2793
The national exam results show that students still have difficulty solving PISA standardization questions, reinforcing the reason why Indonesian students' mathematical literacy scores on PISA are still very low. This mathematical literacy is part of the mathematical thinking ability, so building it will impact students' mathematical literacy. The comprehensive mathematics instruction (CMI) model is thought to build students' mathematical thinking abilities. This study aims to describe students' mathematical thinking achievement who obtain learning with the CMI model. Besides, this study also analyzed the achievement of students' mathematical thinking through the CMI model by paying attention to the prior knowledge of mathematics (PAM). This research is a quasi-experimental study. Samples were taken purposively from the population of high school students in Subang. The results showed that the achievement of students' mathematical thinking through the CMI model differed significantly from students' mathematical thinking abilities through conventional models. The difference in the achievement of generalizing, conjecturing, and convincing abilities between students who get CMI model learning and those who get conventional model learning occurs in students with moderate PAM. Thus, the CMI model is effective for building students' mathematical thinking abilities.
Jurnal Elemen, Volume 7, pp 164-179; doi:10.29408/jel.v7i1.2806
The measure of the center is an essential topic in statistics. Pre-service mathematics teachers must have the ability to select and use measures of center. The inability to use and select appropriate center measures indicates a low understanding of center measures. Meanwhile, research on the ability to use and select the center's appropriate measures is very limited. This study explores the sources of error for pre-service mathematics teachers in using and selecting the appropriate measures of center. This study involved 177 pre-service mathematics teachers. This research is a qualitative study using the interpretive paradigm. Data were collected using a test containing two problems and clinical interviews. Data were analyzed qualitatively using grouping participant responses based on ways of thinking and ways of understanding to use and select center measures. The results showed that pre-service mathematics teachers could not select an appropriate measure of centers because they were too focused on measures of centers while ignoring the variance. In order to be able to select an appropriate measure of centers because variance must be considered simultaneously. The implication of this study results is the need for a learning approach that introduces concurrent measures of centers with data variance.
Jurnal Elemen, Volume 7, pp 58-69; doi:10.29408/jel.v7i1.2723
The purpose of this study was to develop valid, practical, and effective learning using the GeoGebra-assisted Contextual Teaching & Learning (CTL) learning model using the Flipped Learning model to improve the mathematical representation abilities of junior high school students. This research is research and development (R&D). This research has five stages: analyzing the developed product, developing the initial product, expert validation and revision, small-scale field trials and product revisions, and testing large-scale field and final products. Based on the results of several studies, including lesson plans and valid textbooks. From the limited test, the ten questions of the representation ability test were also valid and reliable. The lesson plans and textbooks developed are also practical in terms of teachers and students. Moreover, the average value of the mathematical representation in the experimental class is classified as effective in increasing students' mathematical representation ability. That way, the mathematics learning device characterized by GeoGebra assisted CTL using the Flipped Learning model can be said to be valid, practical, and effective.
Jurnal Elemen, Volume 7, pp 100-119; doi:10.29408/jel.v7i1.2773
Trigonometry, a discipline in mathematics, is often misunderstood by mathematics learners. To understand Trigonometry, students should start learning from understanding Mathematical concepts. Therefore, this study aims to analyze students' understanding of concepts in the Trigonometry course. This research is a qualitative descriptive study of the first semester students' conceptual understanding of the mathematics education study program at a university in Malang City. The data collected in this study consisted of the subject's work and transcripts of interviews. The instrument used in this study consisted of 6 questions about understanding the concept of trigonometric material. Analysis of the subject's work results is carried out to find out the right or wrong answers. Meanwhile, the interview transcripts were analyzed by coding to determine the factors that support conceptual understanding. The results showed that students with good conceptual understanding could solve trigonometric problems, while students with less understanding of concepts had difficulty solving trigonometric problems. The results of this study also found aspects that influence (encourage and inhibit) students in understanding the concept of trigonometry. Furthermore, this research is expected to contribute to trigonometry subjects' learning based on indicators of conceptual understanding in the Trigonometry course.
Jurnal Elemen, Volume 7, pp 130-145; doi:10.29408/jel.v7i1.2785
As part of 21st-century skills, communication is an essential skill for students. Students' mathematical communication tends to below, one of which is influenced by students' self-confidence. For this reason, the purpose of this study is to describe the mathematical communication skills in solving circle problems based on students' self-confidence. Determining the subject using purposive sampling technique, namely from 36 students of class VIII SMP in Madiun, East Java, Indonesia, obtained two subjects with high self-confidence (SCT) and one subject with low self-confidence (SCR). A qualitative descriptive approach was used in this study. Tests and interviews were used as data collection techniques. Data were analyzed through reduction, presentation, and concluding. The results of this study include: SCT is capable while SCR is less able to meet the indicators of mathematical communication skills both in writing and orally at the stages of understanding problems, implementing plans, and checking back; and SCT can meet mathematical communication indicators both written and oral, while SCR is less able to meet written mathematical communication indicators but can verbally at the stage of planning completion. The level of self-confidence of students differentiates their mathematical communication skills in solving problems. Thus, a teacher needs to design an appropriate question to train students' mathematical communication skills with low self-confidence.