Etnomatematika: Eksplorasi Uma Lengge Untuk Pembelajaran Matematika Di Sekolah

This research was conducted to explore the elements of mathematics (ethnomathematics) contained in the Uma Lengge building that is located in Bima, West Nusa Teggara (NTB), Indonesia. The research used a qualitative method with an ethnographic approach. The data were obtained from literature studies, observation, and documentation. Observation and documentation were used to identify and explore the elements of mathematics (ethnomathematics) contained in the Uma Lengge building, literature studies are used to find out more about the cultural values that exist in the uma lengge building as an application in learning mathematics. The results show elements of mathematics (ethnomathematics) in the uma lengge contain plane figure namely the concept of square, rectangle and triangle, concept of parallel and perpendicular lines, concept of geometry namely triangular prism and concept of similarity in triangle. The implication of this research is that the cultural elements contained in the uma lengge building can be used in mathematics learning applications in schools. Keywords: ethnomathematics, uma lengge, math learning

Pengaruh Penggunaan Media Pembelajaran Geoboard Terhadap Hasil Belajar Siswa Pada Keliling Dan Luas Bangun Datar Kelas III SD

Selecting and using appropriate learning media certainly has an effect on the quality of learning and students’ learning outcomes. This research started from the reality at SD Negri 101919 Kuala Namu that teachers had not used the right learning media as a tool in explaining plane figure material, low students’ learning outcomes in mathematics subjects, difficulty understanding math lessons, lack of using learning media in explaining math subject matter. The objective of the research was to find out whether there was an effect of using geoboard learning media on students’ learning outcomes on the the plane figure circumference and area of grade III elementary school. This type of research was quantitative research with Quasi Experiment Research Type with Nonequivalent Control Group Design. The population in this study is all grade III students of SD Negeri101919 Kuala Namu with a total of 36 students. The sampling technique used in this research was the simple random sampling technique, while the sample in this research was class III A which amounted to 18 students as an experimental class and class III B which amounted to 18 students as a control class. The instrument used in the research was a multiple-choice form test. The data analysis technique used was a t-test that as preceded by a prerequisite test of analysis using a normality test and a homogeneity test. The prettest average score for the experimental class was 64,77 and the perettest of the control class learning outcomes was 50,05. Then the two classes were given different treatments, so the average posttest grade of experimental class learning outcomes was 85 and the control class was 75,05. Hypothesis testing was done with the t test. From the results of calculations obtained tcount > ttable (2,9 > 2,02). It can be seen that tcount > ttable, so Ho was rejected and Ha was accepted. So the results of this research conclusion that the results of students’ learning mathematics who used geoboard learning media were higher than the results of students’ learning mathematics who used conventional learning media.

Analisis Matematika Pada Pembuatan Rumah Panggung Toraja

Geometri merupakan cabang ilmu yang mempelajari tentang hubungan antara titik-titik, garis-garis, dan bidang-bidang serta bangun datar dan bangun ruang. Dalam penerapan matematika geometri sangat membantu dalam kehidupan sehari-hari. Sebagai contoh penentuan tinggi menara dengan menggunakan bantuan cahaya matahari dimana dalam penentuannya bisa menggunakan sistem perbandingan. Kemudian menentukan jarak atau lebar sungai tanpa mengukur secara manual yaitu dengan menggunakan titik bantuan dan garis yang sebangun. Penelitian ini bertujuan mengetahui bagaimana hasil penerapan matematika dalam pembuatan rumah panggung Toraja. Dalam proses analisis dilakukan observasi dan wawancara serta dokumentasi untuk melihat proses pembuatan rumah panggung Toraja. Berdasarkan hasil analisis data yang diperoleh, ditemukan pola barisan pada tiang atau balok di setiap tipe rumah. Kemudian metode penggunaan garis sejajar, perpanjangan garis dan kesebangunan pada atap rumah. aplikasi matematika dapat diterapkan pada rumah panggung Toraja menggunakan persamaan dan fungsi parabola pada penentuan lengkungan atap rumah.Kata kunci: Geometri, Rumah panggung Toraja, Analisis, Persamaan Abstract. Geometry is branch of science that learning about the relationship between points, lines, sides , plane figure and solid figure. The application of geometry mathematics is very helpful in daily life. For example, the determination of tower height by using sunlight where in its determination can use the comparison system. Then, determine the distance or width of the river without measuring it manually, that is by using the help points and lines that are congruent. The aim of this research is finding out how the results of the application of mathematics in building Toraja Traditional house. The analysis process is done by observation, interview and documentation to see the process of building Toraja Traditional house. Based on the results of data analysis that is obtained, it was find the sequences pattern on the poles or beams in each type of house. Then the method of using parallel lines, lines extension and similarity on the roof of the house. Mathematics application can be applied in Toraja Traditional house by using parabolic equations and parabolic functions in determining the curvature of house roof.Keyword: Geometry,Toraja Traditional House, Analysis, Equation

ESTABLISHMENT OF CONDITIONS FOR EFFECTIVE ARRANGEMENT OF A CIRCLE WITH RESPECT TO A SQUARE AND AN EQUILATERAL TRIANGLE WITH A COMMON CENTER FOR ESTIMATING THE LENGTH OF THE LINE OF DISAGREEMENT

In this paper we investigate the question of the optimal, extreme (minimum) location of one plane figure, namely, the square in the first case, as well as the equilateral triangle in the second case relative to the circle with the common center of the said figures. In comparison with previous works, the analysis of studies of such a mutual effective location continues. But if in the previous results a function based on determining the value of an area over which the geometric figures did not match was calculated and investigated, then in these studies another numerical characteristic, such as a function, is proposed as such a criterion for the basic working function. which determines the length of the total polygon (straight or arc, etc.). For certain ratios of the radius of a circle with respect to the length of the side of a square or triangle, the length of the arc of the total line along which the discrepancy between the specified geometric objects is observed will take on an extreme (minimum) value. The optimality of such mutual arrangement of one figure relative to another is evaluated by such a criterion as the effective estimation of the length of the set of lines by which the divergence of these figures occurs. The value of a certain function, which determines the length of such sum of lines of divergence of figures in both cases, is obtained, the study of the extremality of this function is performed, it is shown that at the found extremum point, the function that determines the total length of the line of divergence of figures acquires a minimum value. A study of a function that establishes the entire length of the line over which the discrepancy of the figures is observed indicates, at the extreme, that the function acquires minimal values in the case of such arrangement of figures, when the circle is inscribed squarely or an equilateral triangle, and when described around these figures when such a function is maximized. Drawings are given for a better understanding of the formulation and solution of the task, conclusions are drawn, which summarize the values of the arguments sought when the corresponding function acquires minimum values.

Pengaruh Penerapan Pendekatan Savi terhadap Miskonsepsi Siswa Sekolah Dasar pada Bangun Datar Segiempat

Adanya miskonsepsi siswa dalam memahami konsep geometri khususnya dalam bangun datar segiempat adalah bukti nyata proses pembelajaran yang dikelola guru belum mampu membangun konsep bangun datar yang benar. Peralihan pengalaman belajar yang belum matang, diduga salah satu penyebab pemicu munculnya miskonsepsi siswa. Fakta tersebut mendasari dilakukannya penelitian ini dengan menerapkan pendekatan SAVI. Sehubungan dengan itu, maka tujuan penelitian ini adalah mendeskripsikan secara komperhensip miskonsepsi siswa yang terjadi sebelum dan sesuadah mengikuti pembelajaran dengan pendekatan SAVI. Metode penelitian yang digunakan adalah eksperimen dengan desain One Group Pree and Post tes Desain. Subbjek penelitian ini terdiri dari 127 oarang siswa yang berasal dari tiga tingkat SD kelas III, yakni SD dengan kategori Tinggi, sedang dan rendah. Data penelitian dikumpulkan dengan tes, dan dianalisi dengan statistic deskriptif. Hasil penelitian menunjukkan penerapan pendekatan SAVI berkontribusi terhadap penurunan miskonsepsi siswa: (1) secara keseluruhan sebesar 34,2%; (2) berdasarkan jenis bangun segiempat sebesar 30% pada persegi, 34% persegi panjang, 35% jajargenjang, 38% belah ketupat dan 34% trapesium. The existence of student’s misconception in understanding the concept of geometry, especially in the quadrilateral is a concrete evidence of the learning process that is managed by teacher has not been able to build the correct concept of plane figure. The transition of the immature learning experience, allegedly one of the causes of the trigger for the misconception of students. The facts underlie this research by applying the SAVI approach. The purpose of this study is to describe comprehensively the student misconceptions that occurred before and after following the learning by the SAVI approach. The research method used is experiment with design of One Group pretest and Post test Design. This research sub-section consists of 127 students from three primary grades, ie High, middle and low grade. The research data was collected by the test, and analyzed by descriptive statistic. The results showed that the application of SAVI approach contributed to the decrease of student’s misconception: (1) overall by 34.2%; (2) 30% base on the type of quadrilateral, 34% rectangle, 35% parallelogram, 38% rhombus and 34% trapezium.