Trigonometry Courses Research Articles

ANALYSIS OF FIRST-YEAR MATHEMATICS EDUCATION STUDENTS' UNDERSTANDING OF TRIGONOMETRY COURSES BASED ON APOS THEORY

This study is conducted to analyze the understanding of students' concepts in trigonometry courses based on the theory of APOS (action, process, object, and scheme). Based on previous research, students had difficulty understanding the concept of trigonometry, so they had difficulty applying the common trigonometric formula, explaining each one's relation to the comparative trigonometry, and performing calculations and algebra calculations. This type of research is qualitative research descriptive. The subject of the study is a student in the mathematics education semester for two academic years, 2023-2024. Randomly selected research samples using simple random sampling. Analyzing five student responses in the Trigonometry course reveals variations in conceptual understanding based on the APOS theory. Some students successfully followed the stages of action, process, object, and schema comprehensively, while others struggled to apply the correct concepts, particularly in solving problems using trigonometric principles. From this research, it can be concluded that it is important to understand the concept of trigonometry so that the subject can answer a question based on APOS theory

More than Free Textbooks: Labor and Pedagogy in Implementing Open Resources in a Trigonometry Course

More than Free Textbooks: Labor and Pedagogy in Implementing Open Resources in a Trigonometry Course

PENGARUH KEMANDIRIAN BELAJAR DAN LITERASI DIGITAL MAHASISWA TERHADAP HASIL BELAJAR

The background of this study is the problems that arise in online learning, such as the selection of online learning platforms and students learning independently through a learning management system. The purpose of this study is to explain how learning independence and digital literacy on student learning outcomes. This research was conducted using a quantitative approach. The subjects of this study were 40 students in mathematics education at Universitas Lampung who had taken the Trigonometry course. This research was conducted in the odd semester for the academic year 2022/2023. The instrument consisted of a non-test instrument in the form of a questionnaire learning independence and questionnaire digital literacy. Data analysis using multiple regression. The results of this study showed that learning independence and digital literacy influenced student learning outcomes, with an influence of 24.1%.

From Active Learning Trigonometry to Lecture-Oriented Calculus: Student Interactions

Active learning is an important component in many college mathematics classes. However, not all college mathematics classes are being taught using active learning-oriented methods. This phenomenological study examined how four undergraduate students’ reflections on their recent experiences in a lecture-based Calculus I course compared to their reflections on their previous experiences in an active learning-oriented Trigonometry course. According to participants’ reflections, certain prescribed classroom structures, such as large classroom sizes, seemed to negatively affect student interactions with both instructors and peers in Calculus I lecture, especially their ability to ask questions. Whereas feeling comfortable to ask questions in either Trigonometry or Calculus I recitation was not always a given for all participants, all participants remarked that the collaborative, group work environment, usually in addition to their instructors, in both Trigonometry and Calculus I recitation were helpful, approachable, or beneficial. Given these students’ reflections, we emphasize the importance of establishing classrooms in which students are not only provided with opportunities to contribute their perspectives but feel that their perspectives are a welcome and important part of the classroom.

Error analysis of prospective mathematics teachers in solving of applying radian measurement problem in trigonometry courses

This research aims to describe the mistakes of the prospective teachers in solving the application of radian measurement problems and their causes. This type of research is qualitative descriptive research with a case study approach. The types of data collection in this research consisted of the results of the subject's work and transcripts of interviews with research subjects. By following the type of data, this research instrument consists of one question about the problem of applying radian measurement and interview guidelines developed by the researchers. Data analysis of the subject's work is carried out by classifying the types of errors to know the types of errors that arise in solving the problem of applying the radian measurements. While the transcript analysis of the interview results was carried out by coding the words to determine the factors causing the errors that appeared. The results of the research indicate that the error in solving the problem of applying the radian measurement are misconceptions and factual errors. This misconception is generally caused by intuitive thinking, while this factual error is generally caused by not paying careful attention to the information in the question. The solution to these errors is to analyze the elements of the circle that are interconnected in solving the problem of applying the radian measurements and to be careful in writing the information that is known in the question.

Trigonometric Learning Design with the Sibaliparriq Concept as a Learning Model

This study aims to determine how the process and results of trigonometric learning designs that utilize sibaliparriq values as a learning model. This type of research is RnD (Research and Development) research which refers to the Dick and Carey development model with the procedure using the Mc Kenney cycle, which includes three stages, namely preliminary design, prototyping phase and assessment phase. The trigonometric learning design has been designed and validated and revised according to expert advice. The subjects of this study were students of Al Asyariah Mandar University, who took trigonometry courses. The trial results show that the design is effective and practical, namely (i) the average value obtained by students on the trigonometric learning outcome test is in the high category is 61,76. Students who complete the mastery are 29 out of 34 students or 85.29%. (ii) lecturers in implementing learning in accordance with the semester learning plan and are in the very high category. (iii) students are more active in learning. (iv) students generally respond very positively to learning. Thus, the trigonometric learning design process and results utilize the value of sibaliparriq as a learning model for quality Al Asyariah Mandar University students, namely meeting the criteria of validity, practicality, and effectiveness.

Pemahaman Konsep Mahasiswa Semester Satu pada Mata Kuliah Trigonometri

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.

Students' Understanding of Trigonometric Functions : A Case Study

In trigonometry, students are often pushed toward the memorization mnemonic devices or acronyms. Instead, students should be able to use procedures and explain why they are appropriate and justify why concepts in mathematics have the properties they do (Weber, 2005). Motivated by the dichotomous approaches to learning trigonometry by the work of Weber (2005) and Kendal and Tall (1998), this study aims to explore how students in a college trigonometry course understand trigonometric functions in a unit circle learning approach course and if students in a unit-circle-first approach in a college trigonometry course can justify why trigonometric functions have the properties they do? The context of the course studied was designed to introduce active learning components to students to study how these new practices are implemented and how they affect student outcomes.

The multiple intelligence optimize activity using discovery learning models that improve learning outcome in trigonometry course

The aim of this research was to describe the Multiple Intelligence optimize activity using discovery learning models that improve learning outcome in trigonometry class. The type of this research was classroom action research, with the steps were planning, implementing, observing and reflecting. The subject of this research was students of Mathematics Education who took trigonometry class in the first semester of the academic year 2017/2018. The instrument used was a test of Multiple Intelligence, observation sheet and learning outcome test. The results of the analysis of activity observation sheet with discovery learning and Multiple Intelligence tests obtained: 1). Linguistic intelligence was optimized with the discussions and respond to the problem, 2) Mathematical-logical and intrapersonal intelligence optimized through the activities of verification, 3) musical intelligence was optimized through listening to music in the application of the concepts activity, 4) Space-visually intelligence optimized through working on the problems in the application concept activity, 5) interpersonal intelligence was optimized through data collection activity occurred cooperation in solving the problems 6) Space-spatial intelligence could optimized directly by expressing the concept after making the observation and manipulation of props. The average of learning outcome increased in every cycles, the average of learning outcome in the 1st cycle was 69,92. The average of learning outcome in the 2st cycle increased to 78,45. The average of learning outcome in the 2st cycle increased to 85,48.

Analysis of Student Errors in Solving Trigonometry Problems

This study aims to obtain a picture of student errors in working tests on Trigonometry. This research was conducted with a qualitative approach and was descriptive. The subjects studied were Mathematics Education students in the third semester of Class A of the University of Sembilanbelas November Kolaka in the Academic Year 2019/2020. This study uses an instrument in the form of a Final Examination in Trigonometry courses. Based on the research results obtained, an illustration that students' mistakes in working on problems in the Trigonometry course are caused by students not understanding the questions, the lack of accuracy in basic mathematical operations, and mastery of the concepts of trigonometry that students have.

The Impact of Project Creation on Learning Mathematics in a Transdisciplinary Setting

<p style="text-align:justify">This article proposes that the reader be nourished by avant-garde elements for new educational practices in the teaching and learning of mathematics. The writing is based on an investigation that was carried out with high school students from Puerto Rico. From a qualitative paradigm with a research design in action, it was explored how students in higher grades resolve situations within their environment. Emphasis was placed on how they analyze through situations in context, and how they build knowledge through the search for a possible solution to the problem through the Project Based Learning strategy. The emphasis in treatment was for students to experience a transdisciplinary environment. Their impressions from the study were the revealing focus of how students learn when they are presented with a situation in their environment, taking roles themselves, solving them it through a project. As part of the project they used their knowledge of science and mathematics to solve the situation. Similarly, they learned mathematical concepts that are part of the Trigonometry course and that are measured in the academic achievement tests called PR Goals, previously known as Puerto Rican Academic Achievement Tests (PPAA).</p>

Assessing the Emporium Model Through Student Performance and Persistence

The mathematics emporium model (MEM) was implemented to improve student success and retention rates. The college algebra course sequence was redesigned using the emporium model to establish consistency, emphasize active learning, modularize course materials, and provide one-on-one personalized on-demand assistance from faculty and teaching assistants. The emporium model ensured consistent content coverage and learning experiences, improved course coherence, and improved quality control. This study compared the course performance of students enrolled in a college algebra and trigonometry course using the MEM and traditional, lecture method. The results on whether the MEM or traditional students performed better were mixed. Also, the course effectiveness rates, which examines the successful performance of students enrolled in two successive courses that are associated such that the first course provides the foundation for the second, were similar for both the MEM and traditional methods.

MENGEMBANGANKAN BAHAN AJAR MATAKULIAH TRIGONOMETRI YANG INTEGRASI-INTERKONEKSI BERBASIS SOFTWARE MAPLE PADA JURUSAN PENDIDIKAN MATEMATIKA IAIN MATARAM

This study aims to develop Maple Trigonometry-integrated Trigonometry Course teaching materials for students on Mathematics Department. The Development research using Hannafin and Peck models. The results show that teaching materials are appropriate to use. Based on the perceptions of experts and students related to the material aspects and presentation aspects are considered good and satisfying. The use of Maple is still at the level of 65% - 80% in trigonometric teaching material. This is caused by some trigonometry material which cannot be used using Maple as in proving the identity formula of trigonometry. Maple is a tool for solving the problems. Learning submission for students in Trigonometry courses is 72% greater than the completeness determined by 70%. Integration and interconnection of Islamic values in trigonometric material is not yet occurring.

ANALISIS TINGKAT BERPIKIR DAN MINAT BELAJAR TERHADAP KEMAMPUAN PEMAHAMAN KONSEP DASAR MATA KULIAH TRIGONOMETRI

The survey research entitled "Analysis of Thinking Levels and Interest in Learning on the Ability of Understanding the Concept of Trigonometry Subjects" was motivated by the importance of the ability to understand basic concepts in mathematics learning, and the difficulties of mathematics education study students in learning trigonometry because they came from vocational high schools ( SMK). The purpose of the study was to determine the influence of the level of thinking and interest in learning together on the ability to understand the basic concepts of trigonometric courses, the influence of the level of thinking on the ability to understand the basic concepts of trigonometry courses, and the influence of learning interest on the ability to understand basic concepts . The number of samples in this study were 44 people drawn from the student population who took trigonometry courses. Processing data from samples taken using a random sampling technique based on Roscoe's formula, was carried out using the SPSS 20-multiple regression program. The results of data processing show that the resulting multiple regression equation is Y = 8.595 + 2.129 X1 - 0.069 X2. The conclusion of this study is the level of thinking and interest in learning together have a significant effect on the ability to understand the basic concepts of trigonometry courses, the level of thinking has a significant influence on the ability to understand basic concepts of trigonometry subjects, while learning interest does not have a significant effect on ability understanding the basic concepts of trigonometry courses.
 
 Keywords: Thinking Level, Learning Interest, Basic Concept Understanding Ability

Pengembangan Kartu Domano (Domino Matematika Trigono) Sebagai Media Pembelajaran Pada Matakuliah Trigonometri

This research aims is to develop a learning media called Domano Card, that is an abbreviation from Trigono mathematics Dominoes. This media is expected to be valid, effective, and practical to be used as a learning tool for Trigonometry Courses in the college. It is consists of three sets of Domano cards, game boards, and game rules. This Domano Card contains of the pairs of questions and answers. This research type is Research Development (R&D) with ADDIE model (Analyze, Design, Development, Implementation, Evaluate). The subject of this research is 64 active students of Mathematics Education, Satya Wacana Christian University in Trigonometry course. Domano cards are developed based on the students’ learning styles. Validity test was done by 2 validators, there are media experts and material experts It has obtained media feasibility result of 98.71% with very decent category and the result of material feasibility of 92.5% with very decent category. The effectiveness test was done by Paired Samples t-test with SPSS 17. It is indicated that there is a significant differences after the use of Domano Card with the mean value improvement from 57 to 73. The respondents of practicality test are lecturer of Trigonometry course and the lecturer assistant class that obtained 89% with very good category. Based on this development research, it can be concluded that Domano Card media is valid, effective, and practical use as a means of self-learning exercises for students in Trigonometry courses.

PENERAPAN BAHAN AJAR TRIGONOMETRI DENGAN MODEL MATEMATIKA KNISLEY UNTUK MENINGKATKAN KEMAMPUAN BERPIKIR KRITIS MATEMATIK MAHASISWA

The aim of this study is to determine the improvement of students' critical thinking skills in trigonometry courses whose learning uses trigonometric teaching materials with knisley mathematical models compared to those that do not use teaching materials. The method used in this study is quasi-experimental with a sample of fourth semester students. The instrument used in this study is a test of critical thinking skills as much as 5. Based on the results of the data analysis, it can be concluded that the improvement of students' critical thinking skills in learning using trigonometric teaching materials with knisley mathematical models is better than those who do not use teaching materials

Pengaruh Penggunaan Bahan Ajar Berbasis Android dan Tipe Kepribadian Terhadap Kemampuan Komunikasi Matematis Calon Guru

This research aims to determine the effect of using an android application compared to conventional teaching materials on Trigonometry courses on the mathematical communication skills of student candidates regarding personality type. The research method was used quasi-experiment with the population of first grade at Department of Mathematics Education of STKIP Santu Paulus Ruteng and the sample was taken from 2 classes. Data were through by questionnaires and mathematical communication test which were then analyzed by two-way ANOVA test. Data analysis and interpretation showed that: (1) students who were taught using the help of Android-based teaching materials had better mathematical communication skills than students taught conventionally; (2) there was an interaction between learning media and personality type on mathematical communication skills. The findings point to recommendations that the use of appropriate instructional media could be used to improve students' mathematical communication skills and would facilitate the learning process of mathematics.

PENINGKATAN KEMAMPUAN KONEKSI MATEMATIS MAHASISWA MELALUI ACCELERATED LEARNING CYCLE

This study examines the improvement of students' mathematical connection skills through the application of Accelerated Learning Cycle learning. Through quasi-experimental research with non-equivalent control groups, 100 students were included in the algebra and trigonometry courses in the FKIP UIR Mathematics Education Study Program. The research instrument used consisted of a mathematical connection test device. Data analysis using the Mann-Whitney test. The results of this study indicate that the increase in mathematical connection ability of experimental class students is better than the control class (p = 0,000, p <0,05). Keyword: Accelerated Learning Cycle, Mathematical Connection

ANALISIS KESULITAN MAHASISWA DALAM MENYELESAIKAN SOAL PEMECAHAN MASALAH PADA MATA KULIAH ALJABAR DAN TRIGONOMETRI

Abstract. The purpose of this study was to describe students' difficulties in solving problem solving problems in Algebra and Trigonometry courses. Subjects in this study were students of the Mathematics Education Faculty of Unika Santo Thomas Faculty of Teaching and Education study program in North Sumatra in semester 1 of the 2017-2018 school year, totaling 10 people. The data collection tool used in this study was a test of 5 questions in the form of a description. This type of research is a qualitative descriptive study. Data collection techniques are carried out by tests, observation, interviews and documentation. Data analysis techniques were carried out with the stages of data reduction, data presentation and conclusion drawing. The results showed that students had difficulty using the concept of equality and inequality squared, the use of the concepts of trigonometric formulas. Students also have difficulties in using number sequence principles and completing trigonometric equation solving, difficulties in disclosing information from problem solving and calculation errors. The contributing factor is the existence of several concepts and principles of algebra and trigonometry that are used in solving problems that have not been well controlled by students and are less thorough in performing calculations.Keywords: Analysis of Learning Difficulties, Algebra and Trigonometry

PENERAPAN METODE PROBLEM SOLVING DALAM MENINGKATKAN KEMAMPUAN PEMECAHAN MASALAH PADA MATA KULIAH ALJABAR DAN TRIGONOMETRI

Abstract. This study is a classroom action research. The purpose of this research is (1) to describe the application of problem solving method in improving mathematics problem solving students of mathematics education program of Catholic University of Santo Thomas North Sumatera and (2) to describe the improvement of mathematics problem solving ability of mathematics education student in Algebra and Trigonometry. The result of this research shows that the result of problem solving test of mathematics cycle I is students who do not have problem solving ability as much as 3 people (30%), while students have math problem solving ability as much as 7 people (70%) and percentage of observation sheet lecturer activity amounted to 70.90%. Based on the result of math problem solving test in cycle 2, there were 1 (10%) students who did not have the ability to solve mathematics problem, while the students who have problem solving ability 9 students (90%) and lecturer activity percentage of 85.50% experienced an increase from cycle I of 6.5%. Based on the results of this acquisition then the group (classical) can be said that students have the ability to solve problems in Algebra and Trigonometry courses and increase problem-solving abilities by 20%. Keywords: problem solving method and problem solving ability.