Problem-solving Strategy: Mathematical Problem-solving Model Within the Polya' Framework

Mathematical problem-solving is very important for students to learn and understand, which can later be used in solving problems that exist in everyday life. This study aims to analyze the mathematical problem-solving model within the framework of Polya’ theory. The subjects in this study were fifth grade students showing their strategy to solve mathematical problem. We analyzed the student’ problem-solving strategy with real word problems and configured their solution. The results of this study are in the problem-solving process, the subject has completed according to the stages of Polya. At each step, the indicators work together in a unique way to solve a math problem. This research initiates that the connection between indicators in problem-solving can form a cycle of resolution. Keywords: problem solving, mathematical problems, mathematics abilit

EFEKTIFITAS PEMBELAJARAN KOOPERATIF TIPE NHT DENGAN PENDEKATAN KONTEKSTUAL PADA PEMBELAJARAN BANGUN RUANG SISI DATAR

The purpose of this research was to determine the effect of learning models to student achievement. Learning models compared between NHT-CTL, NHT and direct instruction. Method of research used quasi experimental with the factorial design of 3x1. Population of this research was all students class VIII in SMP Negeri at Madiun City. The sampling technique using a stratified cluster random sampling. Samples in this research were 266 students with 91 students as experimental class I, 88 students as experimental class II and 87 students as control class. Data collection methods used documentation and test.Hypothesis testing was performed using one-way analysis of variance with unequal cells. Based on the results of hypothesis testwere concluded that NHT-CTL learning model gave better achievement than NHT learning model and direct instruction, while NHT learning model and direct instruction gave the same achievement.

PENINGKATAN TINGKAT LITERASI MATEMATIKA SISWA SEKOLAH DASAR MELALUI KIT MATEMATIKA BERBASIS VIRTUAL

Tujuan penelitian ini ialah untuk meningkatkan tingkat literasi matematika siswa sekolah dasar melalui kit matematika berbasis virtual. Penelitian ini merupakan penelitian tindakan kelas (PTK) yang dilaksanakan dengan dua siklus. Setiap siklusnya terdiri dari tahap perencanaan, pelaksanaan, pengamatan dan refleksi. Metode pengumpulan data yang digunakan dalam penelitian ini adalah metode dokumentasi dan tes. Kit matematika berbasis virtual yang dimaksud dalam penelitian ini adalah kumpulan aplikasi elektronik diantaranya geogebra, matlab, office mix. Hasil penelitian ini adalah kit matematika berbasis virtual dapat meningkatkan literasi matematika siswa sekolah dasa

Spatial Reasoning Construction: The Way to Use It to Solve Geometric Problems

The aim of this research was to determine the spatial reasoning constructs employed by pre-service elementary school teachers when solving geometry problems. A total of 36 participants were invited to complete an online test, after which two selected individuals were engaged in solving the problems. Interviews were then conducted to accurately describe the process of solving geometric problems. The results showed the existence of two types of spatial reasoning constructions, namely series and parallel. Both construction types revealed the interrelationship between spatial reasoning and the problem-solving process. This research highlighted the significance of spatial reasoning as an integral component in solving geometric problems, emphasizing the need for further investigation into its distinctiveness. This could be achieved by incorporating advanced geometric concepts and materials into future research

EFEKTIVITAS PENGGUNAAN DAKON SATUAN PINTAR BERBASIS PBL DALAM MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS III

This study aims to determine whether the Dakon Satuan Pintar media based on the Problem-Based Learning (PBL) model is effective in improving the mathematics learning outcomes of third-grade students. The subjects in this study were third-grade students at SDN 02 Nambangan Kidul. This study adopts a quantitative approach with a time series research type using a one-group pre-test post-test design. The sampling technique used was saturated sampling, with a total sample of 18 students. The research instruments consisted of pre-test and post-test in the third-grade mathematics subject. Data analysis results show a difference in the mathematics learning outcomes of third-grade students before and after learning using the Dakon Satuan Pintar media based on the PBL model, with the average score increasing from 53.89 to 82.22. Hypothesis testing indicates that the p-value < 0.01, specifically 0.00 < 0.01. Therefore, the study\u27s findings demonstrate that the Dakon Satuan Pintar media based on the PBL model is effective in improving the mathematics learning outcomes of third-grade students

VISUALISASI SPASIAL ABSTRAK SEBAGAI PENALARAN SPASIAL TERKUAT SISWA AUTIS

Penalaran spasial abstrak merupakan penalaran terkuat dari siswa autis. Dalam penelitian ini kami ingin mengidentifikasi penalaran spasial siswa autis berdasarkan kategori penalaran spasial (visualisasi spasial, rotasi mental, dan orientasi spasial) dan level penalaran (abstrak dan kongkrit). Sebanyak 46 siswa autis dan 46 siswa non-autis berpartisipasi sebagai subjek. Semua subjek diberikan 6 tipe tes penalaran spasial yang meliputi ketiga kategori serta level penalaran spasial. Hasil yang diperoleh yaitu siswa autis memiliki keunggulan pada kategori visualisasi spasial abstrak sementara siswa non-autis memiliki keunggulan pada kategori visualisasi spasial kongkrit. Hasil tersebut menunjukkan secara spesifik bahwa visualisasi spasial abstrak merupakan penalaran spasial terkuat yang dimiliki oleh siswa autis. Dengan demikian penelitian ini memberikan gambaran baru mengenai kemampuan penalaran spasial siswa ditinjau dari kategori penalaran serta level penalaran

KEEFEKTIFAN MODEL PROBLEM BASED LEARNING TERHADAP KEMAMPUAN BERPIKIR KRITIS SISWA KELAS V

Student thinking skills are student test scores after completing a lesson or problem. This research aims to find out whether the use of the PBL model assisted by learning media is effective on the thinking skills of fifth grade elementary school students. The subjects in this research were students of classes V A and V B at SDN 02 Mojorejo, Madiun City. The type of approach to research is quantitative with a quasi experimental design type of research that uses a control group pretest-posttest design. The sampling technique used a saturated sampling technique, the sample in this study was 56 students divided into two classes. At SDN 02 Mojorejo class V A as an experimental class was given treatment using the PBL model and at class V B as a Kontron class was given treatment using direct learning. The instrument used for data collection was providing pretest and posttest questions. The technique used for data processing is to carry out normality and homogeneity tests, then continue with the independent sample T test. The results of the research obtained a p-value < 0.05, namely 0.00 < 0.05 so that H1 was accepted and H0 was rejected. So there is an influence of the PBL model assisted by learning media on the thinking skills of fifth grade elementary school students

GeoGebra in project-based learning (Geo-PJBL): A dynamic tool for analytical geometry course

The integration of learning models and software is a trend in mathematics courses. However, no existing learning model for geometry courses involves the students in the making of a tool or media project. The researchers noticed the potential of the project-based learning (PjBL) model and GeoGebra in analytical geometry courses. This study revealed differences in the influence of the Geo-PjBL and PjBL models on students’ achievement. The subjects consisted of 137 prospective mathematics teachers. The Basic Geometry Instrument (BGI) was used to measure the subjects’ initial ability in basic geometry, and the Geometry Analytic Instrument (GAI) was used to evaluate the model and prospective teachers’ performance. The Geo-PjBL and PjBL classroom activities lasted for 15 weeks. Both classrooms received the same content; the difference between the Geo-PjBL and PjBL classrooms was the tools used to present the problems and the project results. An analysis of covariance (ANCOVA) was conducted to analyze the data (α = 0.01). The Geo-PjBL model is more effective in applying analytical geometry subjects that require precision and accurate visual illustrations. Meanwhile, in the range of algebraic operations, the Geo-PjBL model is as effective as the PjBL modelPeer Reviewe

EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE NUMBERED HEADS TOGETHER DENGAN PENDEKATAN CONTEXTUAL TEACHING AND LEARNING PADA MATERI POKOK BANGUN RUANG SISI DATAR DITINJAU DARI KECERDASAN MAJEMUK SISWA SMP NEGERI KELAS VIII SEKOTA MADIUN

Abstract: The aim of the research was to determine the effect of learning models viewed from the student multiply intellegence. The learning models compared were NHT-CTL, NHT and direct instruction. This research  was a quasi experimental with the factorial design of 3x4. The population of this research was all students class VIII in SMP Negeri at Madiun City. The sampling technique using a stratified cluster random sampling. Samples in this research were 266 students with 91 students as experimental class I, 88 students as experimental class II and 87 students as control class. Data collection methods used documentation, tests and questionnaires method. Hypothesis testing was performed using two-way analysis of variance with unequal cells. Based on the results of hypothesis testing were concluded that: (1) NHT-CTL learning model gave better achievement than NHT learning model and direct instruction, while NHT learning model and direct instruction gave the same achievement, (2) students with type linguistic, logical-mathematical, interpersonal, and spatial had the same achievement, (3) on each type of multiple intelligences, NHT-CTL learning model gave better achievement than NHT learning model and direct instruction, while NHT learning model and direct instruction gave the same achievement, (4) on each models of learning, learning achievement of students with linguistic, logical-mathematical, interpersonal, and spatial had the same achievement.Keywords: cooperative learning NHT, CTL approaches, multiple intelligences, learning achievemen

The existence spatial reasoning of preservice teacher in primary mathematics learning

Spatial reasoning is an ability related to the representation and use of objects and their relationships in the 2D and 3D worlds. This research examines the spatial reasoning’ of pre-service teacher primary education and its use in their course. The subject involved 120 pre-service teachers (60 second years students; 60 third years students; 37 males; 83 females) in the primary education department of Universitas PGRI Madiun. The measurement uses a spatial reasoning test based on three constructs: spatial visualization, mental rotation, and spatial orientation (20 items spatial visualization; 20 items spatial orientation; 20 items mental rotation). The test was used to choose subjects with high spatial ability in every three aspects. Then, the selected subject was observed to view the use of spatial reasoning ability. This research results in spatial reasoning ability used to explain objects, draw objects, and the relations between objects in the classroom. That is the possible way to improve student achievement through spatial reasoning ability used by teachers