Jurnal Axioma : Jurnal Matematika dan Pembelajaran

Analisis Situasi Didaktis pada Modul Ajar Penjumlahan dan Pengurangan Bilangan Cacah Kelas 2 Sekolah Dasar

2024-12-23T11:48:26+07:00

This research aims to describe how students’ understanding of adding and subtracting whole numbers is formed. This research is a qualitative descriptive study with teaching modules as the main data source. After surveying didactic situation theory in mathematics through various sources, the paradigm in this theory is then used as a basis for describing learning activities contained in the teaching module. Learning activities in the teaching module are classified based on the theory of mathematical didactic situations. The result shows that in these learning activities, the didactical situation was not developed sequentially. Apart from that, the action situation that is constructed does not show the existence of a dialectical situation between individual students and the milieu. Knowledge construction tends to come from teacher explanations, not from the process of solving problems that involve students' mental activity. This condition can potentially cause knowledge not to be constructed properly, making it possible for students not to be able to use it when facing new mathematical problems and allowing learning obstacles to occur.

Keywords: didactical situations, teaching module

Hypothetical Learning Trajectory Logaritma Berbasis Pendidikan Matematika Realistik Indonesia terhadap Kemampuan Pemahaman Konsep

2025-01-11T02:52:58+07:00

The ability to understand concepts is a crucial skill for comprehending, providing examples, and applying concepts, thereby fostering meaningful learning. However, students’ mathematical conceptual understanding is still relatively low. To achieve meaningful learning, improvements are necessary through a specific approach, namely the Indonesian Realistic Mathematics Education (PMRI). In achieving learning objectives, lessons need to be well-designed, one of which is through the Hypothetical Learning Trajectory (HLT). This study designs an HLT for logarithm concepts using the PMRI approach to improve students’ mathematical conceptual understanding at a high school (SMA/MA) in Sungai Penuh City, Jambi Province, employing a design research method. The research instruments include Student Activity Sheets, questionnaires, and conceptual understanding tests. The data collection techniques consist of interviews, observations, tests, and documentation. The research results indicate that the designed HLT is valid, and students can discover the concept of logarithms. After learning with the PMRI approach, students’ responses to PMRI reached 75.5%, while their mathematical conceptual understanding after the PMRI approach was categorized as high for 46.7% of students, moderate for 36.7%, and low for 16.7%.

Keywords: Hypothetical Learning Trajectory, Logaeitma, Indonesian Realistic Mathematics Education,

Understanding Concepts

Pengaruh Pembelajaran Berbasis Etnomatematika Pada Permainan Gobak Sodor Untuk Meningkatkan Pemahaman Matematis Siswa

2024-12-23T15:36:00+07:00

This research aims to determine the effect of ethnomathematics-based learning on the game Gobak Sodor to improve students' mathematical understanding. Gobak Sodor is a traditional game that is a cultural heritage from our ancestors and needs to be preserved. Gobak Sodor is a very popular traditional Indonesian game that requires good strategy, dexterity, and cooperation in a rectangular arena lined with chalk lines. This game combines elements of dexterity, strategy, and teamwork. This type of research is quasi-experimental with a quantitative approach. Class VII-A is an experimental class that uses an ethnomathematics-based learning model with the gobak sodor game, and class VII-B is a control class that uses a direct learning model. Research data was obtained through a test in the form of five questions describing mathematical understanding. Based on the results of research using an independent sample test, a significance value of 0.001 was obtained, which is smaller than 0.05. Based on this decision, H0 was rejected, which shows that there is a difference in students' mathematical understanding between the experimental class, which applies ethnomathematics-based learning with the gobak sodor game, and the control class, which uses conventional learning. These results indicate that there is a positive influence of ethnomathematics-based learning with the gobak sodor game on improving students' mathematical understanding.

Keywords: Ethnomathematics, Gobak Sodor, Mathematical Understanding

Analisis Kesalahan Siswa Dalam Menyelesaikan Soal Kontekstual Berdasarkan Kriteria John Watson Ditinjau Dari Perbedaan Gender

2024-12-23T15:38:03+07:00

This research aims to analyze students' errors based on John Watson's criteria in the material of congruence and congruence of flat shapes. This research approach is qualitative with a descriptive type. Students are given a test to identify mistakes made when solving questions. Interviews were conducted to find out the causes of the types of errors they made when completing the test. This research used 8 selected subjects, namely class IX students of MTs Sunan Giri Pakusari. Analysis is carried out by calculating the expression of each indicator and interpreting it based on Watson's criteria. In the research results, female students made more mistakes in inappropriate procedures, with a percentage of 22.5%, and missing conclusions, with a percentage of 25.8%. Meanwhile, male students made more mistakes in missing data, with a percentage of 19.3%, and missing conclusions, with a percentage of 25.8%.

Keywords: Error Analysis, Contextual Questions, John Watson Criteria, Gender

Analisis Pemahaman Konsep Siswa Dalam Menyelesaikan Soal Matematika Menggunakan Alat Peraga Papan Lingpusta

2024-12-23T15:41:55+07:00

This research aims to describe students' conceptual understanding when they solve problems using the Lingpusta board teaching aid. Understanding mathematical concepts is the main key in mastering mathematics. Understanding concepts is very important for students after going through the learning process. The ability to understand concepts also requires students to recall concepts that have been studied previously. Understanding concepts means students are able to explain the relationships between concepts and apply concepts flexibly, accurately, efficiently, and precisely to a problem. The Lingpusta board is used to illustrate the concept of sets and their relationships with elements in the universe or universal sets. This research used a qualitative approach with subjects consisting of 2 low-ability students and 2 high-ability students in class VII at Darur-Rahmah Middle School. The research instruments consist of problem-solving questions, students' conceptual understanding tests, and interview guidelines. The results of this research show that students who have high ability to understand the concept can solve the questions well and fulfill the six indicators that have been determined, while students who have low understanding have difficulty in solving the questions given and fulfill the five indicators that have been determined.

Keywords: mathematics, library board, concept understanding

Identifikasi Diskalkulia Pada Siswa Sekolah Dasar Dalam Materi Penjumlahan Dan Pengurangan

2024-12-23T15:26:16+07:00

Learning difficulties are commonly found in students from the lowest level of education to higher education. In elementary school children, there are many learning difficulties, the causes of which are different for each individual. Dyscalculia is one of the learning problems in Mathematics. The purpose of this study is to determine dyscalculia in elementary school students in addition and subtraction material. This type of research is descriptive qualitative. The subject of this research is first grade students of Keronegoro 01 Elementary School in the 2024/2025 school year as many as 2 students. The results of the research identify elementary school students obtained from observation, test, and interview data. The dyscalculia that occurs in A1 is pre-cognostic dyscalculia, intermediate dyscalculia, graphic dyscalculia, lexical dyscalculia, and qualitative dyscalculia. While the dyscalculia experienced by A2 is indiagnostic dyscalculia.

Keywords: dyscalculia, addition and subtraction

Modifikasi Aritmatika Aljabar pada Bilangan Fuzzy Hexagonal dan Penentuan Invers Matriks

2024-12-23T14:22:05+07:00

Hexagonal fuzzy numbers are a development of trapezoidal fuzzy numbers. Just like algebra for trapezoidal fuzzy numbers. There are not many algebraic differences given by various authors for the many operations of addition, subtraction, and scalar multiplication. However, for multiplication, division, and inverse operations, there are many algebraic alternatives offered by various authors in parametric and ordinary forms. But the problems that arise do not always have an inverse for any hexagonal fuzzy number . In this paper, by changing hexagonal fuzzy numbers into another form and defining two midpoints and for any hexagonal fuzzy number . Thus, for the algebraic forms of multiplication, division, and inverse there is one that is produced using the elementary row method. At the end, an example of determining the inverse of a hexagonal fuzzy number matrix that has order .

Keywords: Algebra arithmetic, hexagonal fuzzy number, inverse matrix

Parents's Role in Improving Numeracy Literacy of Elementary School Students through Mathematics Competitions

2024-12-23T14:17:37+07:00

Mathematical numeracy literacy ability is a very important ability for students to have, because this ability is related to problem-solving both in the field of education and in everyday life. The development that occurs in early childhood can be influenced by several factors such as family, school, and environmental factors. This article was written to describe the important role of parents in increasing students' numeracy literacy in mathematics competitions. This research was conducted in Pamekasan with a qualitative research type with a descriptive approach, and the subjects in this research were elementary school students participating in Sigma 2023. The results in this research can be seen from the percentage of parents' role in increasing the numeracy literacy of elementary school students which is in the good criteria with a percentage of 79.08. Therefore, parents need to be actively involved in their children's education and provide an environment that supports their children's development so that their children's numeracy literacy skills develop as expected.

Keywords: Role of Parents, Numeracy Literacy

Alternatif Aljabar Untuk Bilangan Fuzzy Pentagonal

2024-12-23T14:23:09+07:00

A part of the triangular fuzzy numbers, is what we call pentagonal fuzzy numbers. Plenty
of alternatives for fuzzy pentagonal numbers are suggested by some writers. Particularly
for scalar summation, subtraction, and multiplication, there is no enormous diversity.
However, for multiplication, division, and inverse as well, there are so many algebraic
options proposed by various scholars. Some writers defined the form of inverse for
pentagonal fuzzy numbers in parametric. But it does not always result in identity. Such
a thing will also have implications in the process of how to invers the pentagonal fuzzy
numbers matric. This paper proposes an alternative method to decide the inverse of
pentagonal fuzzy numbers, in the form of parametric. The first thing to do is to
construct two midpoint for any pentagonal fuzzy. The midpoint are used to construct
the multiplication, division and inverse. Algebraic to any pentagonal fuzzy number in
any single inverse such that it produces an identity inverse, likewise for a pentagonal
fuzzy number matrix it produces an identity matrix inverse.
Keywords: Algebraic Alternative Fuzzy Number; Inverse Of Penthagonal Fuzzy Number Matric

Pengaruh Model Problem Based Learning (PBL) Berbasis Etnomatematika terhadap Kemampuan Numerasi Siswa SMP

2025-01-13T11:02:49+07:00

This study aims to determine the effect of the Ethnomathematics-Based Problem-Based Learning (PBL) model on the numeracy skills of 8th-grade students at SMP Negeri 15 Pekanbaru. The research employs a quasi-experimental design with a pretest-posttest control group. The sample consists of two classes selected through random sampling: an experimental class taught using the ethnomathematics-based PBL model and a control class taught using conventional learning methods. After conducting the normality test, the post-test significance value for the control class was found to be 0.004, which is smaller than the significance level of 0.05 (0.004 < 0.05). Thus, the data are not normally distributed. Since one of the datasets is not normally distributed, a non-parametric Mann-Whitney U test was performed. The test results show an Asymp. Sig. (2-tailed) value of 0.000, which is smaller than the significance level of 0.05 (0.000 < 0.05). Therefore, H₁ is accepted, and H₀ is rejected. This indicates a difference in the average numeracy skills between the experimental class and the control class. In other words, the average numeracy skills of students using the Ethnomathematics-Based Problem-Based Learning (PBL) model are better than those of students using the conventional learning model. Hence, the ethnomathematics-based Problem-Based Learning (PBL) model positively impacts the numeracy skills of 8th-grade students at SMP Negeri 15 Pekanbaru.

Keywords: Problem Based Learning, Ethnomathematics, Numeracy Skills