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KALAMATIKA Jurnal Pendidikan Matematika

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Published by Universitas Muhammadiyah Prof. Dr. Hamka

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Core Subject : Education,

Education Mathematics

Jurnal KALAMATIKA merupakan jurnal di bawah naungan Program Studi Pendidikan Matematika dan dipublikasikan oleh Universitas Muhammadiyah Prof. DR. HAMKA. Jurnal terdaftar dengan E-ISSN: 2527-5607 & P-ISSN: 2527-5615. Jurnal KALAMATIKA mempublikasikan naskah-naskah artikel ilmiah dalam cakupan bidang Pendidikan Matematika. Tulisan dapat berupa diseminasi hasil penelitian, telaah pustaka ilmiah yang komprehensif atau resensi dari buku ilmiah. Setiap naskah yang diterbitkan terlebih dahulu dilakukan proses peer-review dengan sifat double-blind review. Untuk terbitan per November 2017 Jurnal KALAMATIKA menggunakan template baru yang dilengkapi dengan identitas artikel yang lebih komprehensif.

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Articles 158 Documents

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THE NEWMAN PROCEDURE FOR ANALYZING STUDENTS' ERRORS IN SOLVING SYSTEMS OF LINEAR EQUATIONS Veni Saputri; Rizal Kamsurya
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

This study aimed to analyze students’ errors in problem-solving activities for systems of linear equations. The descriptive qualitative method was adopted and applied to obtain and process the research data. Research subjects were selected using the purposive sampling technique. Three participants were chosen according to their mathematical proficiency levels. Data collection was conducted by tests to measure students’ problem-solving abilities and semi-structural interviews to gather qualitative information about students’ errors in solving systems of linear equations. The interview results were analyzed using narrative analysis to obtain accurate conclusions. The study found that (1) low-ability students tend to perform error at the comprehension stage, (2) medium-ability students are likely to perform error at the transformation stage, and (3) high-ability students tend to perform error at the process skills stage. The solutions based on the ability level are: (1) low-ability students are required to read the question carefully, educators should emphasize the problem-solving procedure, and students should strengthen their understanding of the prerequisite learning content in problem-solving; (2) medium-ability students have to focus on the emphasis and development of their skills in understanding the language of a problem and balance with improving their understanding of learning content and contextual exercising; (3) high-ability students are provided with exercises that can improve their counting speed and accuracy of the subject in resolving a problem.

STUDENT EVALUATION MATHEMATICAL EXPLANATION IN DIFFERENTIAL CALCULUS CLASS Gabariela Purnama Ningsi; Fransiskus Nendy; Lana Sugiarti; Ferdinandus Ardian Ali
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

This study aimed to determine that the failure of students to evaluate mathematical explanations based on mathematics is influenced by sociomathematical norms, teaching authority, and classroom mathematics practice. The research method used is the case study method. The research data were obtained from inside and outside the research class. The data in the research class were in the form of field notes, video recordings of the class, video recordings of student group work, and student work. Data outside the research class is the result of interviews with three interview subjects. By studying the three evaluation methods students used in evaluating explanations, it was found that each student applied a different evaluation method at different times. The three evaluation methods contributed to some of the difficulties students experience in evaluating their mathematical descriptions. The results indicate that the failure of students in evaluating explanations is not solely due to errors in choosing the method, approach, or learning model used but can be caused by sociomathematical norms, authority, and classroom mathematics practices applied in the classroom.

THE EFFECTIVENESS OF GEOGEBRA-BASED VAN HIELE MODEL ON MATHEMATICAL DISPOSITION ASSESSED FROM EARLY MATHEMATICS ABILITY Widyah Noviana; Windia Hadi; Ita Handayani
KALAMATIKA Jurnal Pendidikan Matematika Vol 5 No 2 (2020): KALAMATIKA November 2020
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

The aim of this research was to observe the effectiveness of geogebra based van hiele model on mathematical disposition assessed from early mathematics ability. The accessible population of the present study was students of Prof. DR. HAMKA Muhammadiyah University. Samples of this research is semester two students from mathematics education program. Due to the happening Covid-19 pandemic, the present study was conducted online. The method employed was quasi-experiment using factorial treatment by level 2 × 2 design. The data were collected with mathematical disposition questionnaire and early mathematics ability instrument. After the data were collected, they were then analyzed with two-way ANAVA analysis. The result showed that there was no significant difference in the increase mathematical disposition of students who are given the learning model and early mathematics ability. The conclusion obtained is that the geogebra based Van Hiele Model is ineffective on students’ mathematical disposition in terms of their early mathematics abilitiy. This is due to several factors, namely internal factors and external factors. The internal factors are decreas in the score of mathematical disposition from pretest to posttest, lack of understanding applying geogebra software with online learning. External factors are quotas and poor internet network.

Analisis Sikap Siswa terhadap Kemampuan Pemecahan Masalah Matematis Hella Jusra; Luthfiyah Aulia Iskandar
KALAMATIKA Jurnal Pendidikan Matematika Vol 5 No 2 (2020): KALAMATIKA November 2020
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

This study aims to identify the attitudes of students on the ability to solve problems with mathematics. The attitudes of students evaluated in this study include self-confidence, anxiety, enthusiasm, and self-regulated mathematics learning. The research subjects were 79 students in grade VIII. The researcher re-concentrated on three students from all of them, who had mathematical problem-solving skills in the high, medium, and low groups. These subjects were selected from students who focused on problem-solving mathematical skills, questionnaires on the attitudes of students, and interviews with researchers. The instruments used to collect were an instrument of problem-solving mathematical ability and an instrument of students’ attitudes in the form of student attitudes towards mathematics questionnaire. The research method used is descriptive qualitative. The findings have shown that the majority of students are balanced between excited and unexcited on mathematics. The majority reason for students who are enthusiastic about mathematics is that they can improve their abilities, talents, and knowledge. Others have different explanations such as having the resources; formulas and problems, making them feel challenged; thinking that mathematics is important. The majority of students had a low category of self-confidence and anxiety towards mathematics, and had a moderate level of enthusiasm in mathematics and self-regulated learning.

THE POSITION OF STUDENTS' ERRORS IN ALGEBRAIC PROBLEM-SOLVING BASED ON FIELD DEPENDENT AND INDEPENDENT Aloisius Loka Son; Darhim; Siti Fatimah
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

There is a strong relationship between field-dependent (FD), field-independent (FI) cognitive styles, and problem-solving performance. FD students are more oriented towards the outside world, while FI students rely more on their knowledge and experience. The present study aimed to reveal the position of the FI and FD student's errors in algebraic problem-solving. The subjects of this study were 27 students of class VII in one of the Junior High Schools in Kefamenanu, Indonesia, Academic Year 2018/2019. Data collection involved tests of algebraic problem-solving ability, interviews, and Group Embedded Figure Test. The case study results showed that the algebraic problem-solving abilities of FI students were better than FD students. The scores of algebraic problem-solving abilities of FI students were dominant in the medium and high categories. In contrast, the FD students were dominant in the medium and low categories. Also, FI students predominantly committed procedural errors. Whereas, most FD students made errors on all types of errors, specifically factual, conceptual, and procedural errors. Thus, it is recommended that FI and FD students' algebraic problem-solving ability become the focus of attention and importance to characterize them as a basis for further research.

ANALYSIS OF MATHEMATICAL WRITING ERRORS RELATED TO THE ANGLE OF TRIGONOMETRI FUNCTIONS Budi Mulyono; Hapizah
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

Mathematical writing errors are often made by students, especially when writing mathematical expressions on the angle of trigonometric functions. One of the causes of this error is that students do not pay close attention to the difference between radians and degrees when writing questions or writing answers. These mathematical writing errors were made mainly by students who were oriented towards the result of the answer to a question, without paying attention to good and correct writing rules. One form of writing errors in mathematical expressions of trigonometric functions is writing y = sin (x + 45), which is considered the same as writing y = sin (x + 45o). If they are asked to compare the graphical form of the function of the two mathematical expressions in the same image, the writing error will be recognized and seen. Counterexamples and technology in learning mathematics can help students understand and correct errors in writing mathematical expressions of trigonometric functions.

ANALISIS KEMAMPUAN LITERASI MATEMATIS PADA MATERI BANGUN DATAR DENGAN MEDIA BATIK BETAWI MOTIF TUMPAL Vyvy Hindun Permatasari; Meyta Dwi Kurniasih
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

Batik Betawi is one of the elements of Betawi culture heritage that needs to be reserved. This element of Betawi culture can be used as a learning and teaching media since it has patterns correlated to mathematics. One of the patterns that can be used as a mathematics lesson at school is the batik Betawi tumpal pattern, formed by triangles and squares. This research aims to examine the role of Betawi culture in mathematical literacy. This research implements the qualitative descriptive method with ethnographic approach. The results show that batik Betawi tumpal has a significant effect on mathematical literacy and it is also applicable to the teaching of plane geometry. Batik Betawi tumpal pattern as one of the elements of Betawi culture is relevant to use as a teaching media of plane geometry. It can also be used as a tool to visualize the object in concrete form to be more comprehensible for the students.

ANALYSIS OF MATHEMATICS PROBLEMS IN THE 2013 CURRICULUM AND CAMBRIDGE CURRICULUM MATHEMATICS TEXTBOOKS Ratu Sarah Fauziah Iskandar; Aji Raditya; Trisna Roy Pradipta
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 1 (2021): KALAMATIKA April 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

Several factors influence the success of learning; one of them is the quality of textbooks. Textbooks have a pivotal role in learning, namely, representing the teacher's explanation in front of the class. Curricula have continuously changed because they are far from the expectations. In Indonesia, many schools have implemented an international curriculum to improve school quality. One of the curricula used is the Cambridge curriculum. This study analyzed the types of problems in the Cambridge and 2013 curriculum mathematics textbooks, especially on quadratic equations. This research utilized a six-dimensional analysis method which consists of mathematical activities, complexity level, answer form, contextual features, response types, and mathematical features. Furthermore, the data collection technique was carried out by analyzing and describing the types of questions in the 2013 curriculum and the Cambridge curriculum mathematics textbooks. The analysis focused on the quadratic equation topic in the 2013 curriculum and the Cambridge curriculum mathematics textbooks. The results shows that there is no difference between the types of problems in the 2013 curriculum and the Cambridge curriculum mathematics textbooks for quadratic equation topics. The framework of this study could be a reference for further research and used by mathematics textbook writers to create more diverse types of questions.

DEVELOPING A SET MODULE WITH A GUIDED INQUIRY AND TAHFIDZUL QURAN TO IMPROVE STUDENTS’ CRITICAL THINKING Akhmad Syahwanul Karim; Yus Mochamad Cholily; Mohammad Syaifuddin
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 2 (2021): KALAMATIKA November 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

This research aimed to develop a set module with a guided inquiry and Tahfidzul Quran (Quran memorization) to improve students' critical thinking. This research was a Research and Development (R&D) based on the ADDIE Model with a one-group of pre-test and post-test design conducted for Year-7 students at an Islamic Boarding School in Malang, East Java. The subjects in this study were 12 students. Three aspects were present in this module development: process, quality, and effectiveness. The results of this study showed that (1) The development of the set module with a guided inquiry approach and the Tahfidzul Quran process refers to the ADDIE development model with the following steps: analysis, design, development, implementation, and evaluation; (2) The set module has a suitable quality of use as the learning module satisfying the aspects of content, presentation, language, graphics, and tahfidz; (3) The use of the set module with the guided inquiry approach and Tahfidzul Quran is effective in improving students' critical thinking. The students’ responses to the learning module were positive. In conclusion, a set module developed with the guided inquiry and Tahfidzul Quran to improve students' critical thinking has fulfilled the rules of process, quality, and effectiveness.

THE VALIDITY AND RELIABILITY OF INSTRUMENTS FOR MEASURING ELEMENTARY SCHOOL STUDENTS' EARLY MATHEMATICAL ABILITY Aan Yuliyanto; Turmudi Turmudi; Ernawulan Syaodih; Dadan Rusdiana Saputra; Arie Dharmawan; Cahya Karisma Pertiwi
KALAMATIKA Jurnal Pendidikan Matematika Vol 6 No 2 (2021): KALAMATIKA November 2021
Publisher : FKIP Universitas Muhammadiyah Prof. DR. HAMKA

Teachers need to understand students' early mathematical abilities before continuing learning on the next topic to retain the knowledge. This study aims to produce appropriate and reliable instruments for quality research related to early mathematical abilities. This research implemented R&D. The subjects were 113 sixth-grade students of the elementary school in Karawang. The instrument used was a test to measure early mathematical ability. Validity and reliability tests indicated that the five initial mathematical ability test items were considered valid, with r count > r table and p-value <0.05. The Cronbach's Alpha value was 0.875 (above 0.8 or high reliability). Thus, the five items of the early mathematical ability instrument on the volume of cubes and rectangular prisms can be used for further research to measure the same variables accurately. The results are not significantly different for the same subject even though the time and place are different.

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