Hipotenusa: Journal of Mathematical Society

Learning Design for Combinatorics with Realistic Mathematics Education (RME) Approach

Dona Fitriawan — 2023-12-17

The purpose of this research is to design learning combinatorics sub-material faktorial, permutation, combination and chance with RME approach. This research is a qualitative research. With this research method using design research. The research techniques used are measurement techniques, direct observation and documentation with tools in the form of objective tests, observation sheets and document sheets. The research subjects were 2 classes, namely A1 and A2 classes in the Mathematical Statistics course, especially combinatorics material totaling 35 students with the learning trajectory in the form of numbers that were applied alternately to students. The conclusion of this research is obtained: 1) in the faktorial sub-material, students are introduced to the RME approach that 4!=24, 3!=6, 2!=2, 1!=1until it is proven that 1!=1; 2) in the permutation and combination sub-material, students are directed to be examples of the same numbers and letters that form the rules of permutation and combination; 3) in the opportunity sub-material, students are exemplified about coins and dice, both in one, two, and three pieces in the context of the problem.

Students' Creative Thinking Ability in Solving Open-Ended Problems Based on Personality Type

Eys Arumningsih — 2023-12-17

This study aims to determine the creative thinking ability of junior high school students in solving open ended problems in terms of students' different personality types. This type of research is descriptive qualitative with instruments in the form of Hippocrates - Galenus personality type questionnaire and written test of creative thinking ability on pythagorean theorem material. The subjects of this study consisted of 31 students of class VIII A of Walisongo 1 Semarang Junior High School. The results of this study showed that (1) the results of filling out the personality type questionnaire from 31 respondents obtained 29% of students with sanguinis personality type, 19% of students with choleric personality type, 23% of students with melancholic personality type and 29% of students with phlegmatic personality type. (2) subjects with melancholic personality type have high creative thinking ability, subjects with sanguinis and choleric personality type have moderate creative thinking ability, while subjects with phlegmatic personality type have low creative thinking ability. This study also shows that each student with a different personality type can affect the creative thinking ability of each student.

Ethnomathematics at TIFA Yapen as A Source for Learning Mathematics

Yeni D. Fonataba — 2023-12-17

This study's primary objective is to investigate and elucidate the principles and regulations of ethnomathematics prevalent in the Yapen Islands of Papua, Indonesia, for application in the context of mathematics education in schools. The research methodology involves qualitative research with an ethnographic approach. Data was collected through participant observation techniques and in-depth interviews, and the subsequent data analysis followed a sequence of ethnographic data analysis, domain analysis, and taxonomic analysis. The findings of this research indicate that precise measurements of the tifa's length and width significantly affect the sound (tone) produced when the tifa is struck. The design aspect involves the ability to elucidate the steps and sequence involved in crafting a tifa, ensuring clarity and comprehensibility in the explanation. Furthermore, the ability to explain extends beyond comprehending the manufacturing process to effectively communicating it to the general public. The geometric patterns observed on the tifa include circular shapes on the lid and base, a prism shape near the tifa cover, an isosceles trapezoid shape on the tifa handle, and a parallelogram shape on the tifa handle.

Mathematical Reasoning Ability as a Tool to improve Mathematical Literacy

Siti Norhidayah — 2023-12-17

Mathematical reasoning is one of the competencies needed to improve mathematical literacy. Mathematical reasoning is very influential in relation to other sciences and in daily life. This research is a descriptive research with the purpose of describing mathematical reasoning ability of Semester 1 students of Mechanical Engineering Study Program of Balikpapan University. The result of the research shows that there is a good mathematical reasoning in Mechanical Engineering 1st Semester Class A1 Academic Year 2023/2024. With good mathematical reasoning, it can be said that their mathematical literacy is also good enough. Mechanical Engineering students who have good mathematical reasoning will be very supportive in understanding other sciences, especially science in the field of Mechanical Engineering. The problems that arise in the process of mathematical reasoning of Mechanical Engineering Semester 1 students include not understanding the meaning of the problem command, difficulty starting the work steps, lack of accuracy when operating numbers, inability to use certain theories / formulas / rules in solving problems, inability to conclude answers, usually the answer only stops at the calculation result without concluding the results. For students whose achievement of mathematical reasoning ability indicators is still low, it can be helped by often practicing working on problems that require mathematical reasoning. This is one way for teachers to improve their students' mathematical reasoning skills.

Systematic Literature Review: Utilization of Video Media in Math Learning

Muhammad Ainuddin Daahiljabir — 2023-12-17

Learning media plays an important role for teachers in carrying out learning activities in the classroom. Video-based learning media is one of the learning media that makes students able to understand the material presented by the teacher, because videos can show more real objects. Video-based learning media is also widely used by teachers because it has a good and successful influence on mathematics learning activities in the classroom. Making learning video media can use several applications such as powerpoint, videoscribe, canva, vegaspro, geogebra, powtoon, and others. The purpose of this study was to determine that video-based mathematics learning media has a positive effect on mathematics learning. This research is looking for several articles related to the use of video media in learning mathematics. The method used in this research is SLR (Systematic Literature Review). SLR is a technique of systematically collecting data, critically testing data, and collecting results that are in accordance with the topics used in the study. Research results from several accredited international and national journals show that the use of media in the form of learning videos in mathematics learning can help teachers and students in carrying out mathematics learning activities.

Implementation of Problem Based Learning Assisted by Learning Management System to Improve Students' Mathematical Communication Skills

Adi Candra Kusuma — 2023-12-17

Learning is not limited to the transfer of knowledge, but rather needs to provide opportunities for students to communicate ideas clearly in order to develop more flexible and practical abilities. The aim of the research is to determine the implementation of Problem Based Learning assisted by a Learning Management System (LMS) to improve students' mathematical communication skills. The research method uses a quantitative type, with a sample of class 1F of 23 students as the experimental class and class 1G of 24 students as the control class for the 2022/2023 even semester academic year in the D4 Electronics Engineering study program at the Malang State Polytechnic. Data collection methods such as observation and tests, where instruments are provided with observation sheets and test questions. Data analysis used the normal test, homogeneous test, proportion test, comparison test (test) and the N-gain test. The research results show that the data is normally distributed and homogeneous. The research indicators meet 1) Students' ability to communicate mathematics which is influenced by the treatment given through Problem Based Learning with the help of LMS reaches the minimum standard in learning both (B) individual and classical, exceeds 75%, 2) Students' ability to communicate mathematics which is influenced by the treatment given through Problem Based Learning with LMS support is better than expository learning, 3) The increase in mathematical communication skills of students who take part in Problem Based Learning with LMS support is significantly higher than expository learning, namely 0.496 in the medium category.

Development of Android-Based Learning Application Using Articulate Storyline 3

Pance Ronaldi Solo — 2023-12-17

This research aims to create an Android-based learning application assisted by Articulate Storyline 3 software for class VIII students of SMP Negeri 13 Kupang that is valid, practical, and effective. The method used is Research and Development (R&D) with the ADDIE (Analysis, Design, Development, Implementation, and Evaluation) model. Data collection techniques and instruments include interviews, questionnaires, and tests. The data analysis technique uses qualitative and quantitative descriptive analysis techniques. This research produces an Android-based application product named "Relations and Functions" and has met the criteria for validity, practicality, and effectiveness. For media validity, the average assessment by 3 material experts was 4.37, and the average assessment by 3 media experts was 4.38, so it has the "valid" category. For the practicality of the media in small-scale trials, the student response was 4.72, and the effectiveness of the media through the percentage of learning completion was 100%. Meanwhile, in the large-scale trial, the subject teacher's assessment response was 4.5 and the student response was 4.63, so it was in the "practical" category. For media effectiveness, the learning completion percentage was 83.33% and was categorized as "very effective". Thus, the learning application developed is valid, practical, effective, and suitable for use in learning activities.

Discovery Learning Research in Mathematics Learning (1968-2023): A Bibliometric Review

Ilham Muhammad — 2023-12-17

The aim of this research is to identify research developments related to Discovery Learning in mathematics learning. This research uses a bibliometric analysis method by collecting data from the Scopus database. The data is then saved in two formats, namely CSV and RIS. Data in CSV format was analyzed using VOSviewer, while data in RIS format was analyzed using Harzing's Publish or Perish software. This research refers to 72 research sources regarding discovery learning in mathematics learning from 1968 to 2023. The research results show that the number of publications related to discovery learning in mathematics learning continues to increase every year. Publications in 2012 had more than 130 citations, this number exceeds publications in other years. The majority of these publications were found in Q2 category journals, with a total of 28 publications. The focus of this research covers three main areas: 1) learning outcomes, learning environments, and the role of universities; 2) technology and STEM (Science, Technology, Engineering, and Mathematics); 3) problems in teaching mathematics. New themes that emerge in research regarding discovery learning in mathematics learning include STEM, communication, self-confidence, learning activities, creativity, critical thinking, and efficacy. However, the term "Discovery Learning" is not yet directly connected to new concepts such as critical thinking and learning methods. This research provides in-depth insight into the development of Discovery Learning in the context of mathematics learning, as well as a better understanding of the dominant research focus and current trends in this field.