Linking the Van Hiele Theory to Instruction

2014 ◽  
Vol 21 (5) ◽  
pp. 304-313 ◽  
Author(s):  
Tashana D. Howse ◽  
Mark E. Howse
Keyword(s):  
Spatial Reasoning ◽  
Learning Activities ◽  
Van Hiele ◽  
Van Hiele Theory ◽  
Reasoning Skills

These learning activities are designed to facilitate students' development of spatial reasoning skills through the use of attribute blocks.

scholarly journals van Hiele instructional package for vocational school students’ spatial reasoning

2018 ◽  
Vol 11 (1) ◽  
pp. 79-100
Author(s):  
Evvy Lusyana ◽  
Wahyu Setyaningrum
Keyword(s):  
Spatial Reasoning ◽  
Vocational School ◽  
School Students ◽  
Van Hiele ◽  
Reasoning Test ◽  
School Based ◽  
Van Hiele Theory ◽  
Teachers And Students ◽  
Support Students ◽  
Instructional Package

[Bahasa]: Artikel ini membahas kepraktisan dan keefektifan perangkat pembelajaran matematika sekolah menengah kejuruan (SMK) berbasis teori van Hiele dan berorientasi pada penalaran spasial. Perangkat pembelajaran berupa rencana pelaksanaan pembelajaran (RPP) dan lembar kegiatan siswa (LKS). Pengembangan perangkat pembelajaran dalam penelitian ini menggunakan model pengembangan ADDIE. Instrumen pengumpulan data terdiri dari lembar observasi keterlaksanaaan pembelajaran, lembar penilaian kepraktisan dari guru dan siswa, dan tes penalaran spasial. Subjek uji coba perangkat pembelajaran adalah 106 siswa dari tiga kelas di SMKN 2 Ngawi. Hasil penelitian menunjukkan bahwa perangkat pembelajaran matematika SMK menggunakan teori van Hiele berorientasi pada penalaran spasial praktis. Hal ini dapat dilihat dari respon guru dan siswa yang menyatakan bahwa perangkat dapat digunakan dalam pembelajaran di kelas. Selain itu, perangkat yang dikembangkan juga efektif dilihat dari persentase ketuntasan kemampuan penalaran spasial siswa mencapai 82% setelah menggunakan perangkat pembejalaran yang dikembangkan. Perangkat ini dapat menunjang kemampuan penalaran siswa karena menyediakan ilustrasi gambar dan bidang kartesius untuk memfasilitasi siswa berpikir spasial. Kata kunci: Perangkat Pembelajaran; van Hiele; Penalaran Spasial [English]: This paper discusses the practicality and effectiveness of mathematics instructional package for vocational school based on van Hiele theory and oriented to spatial reasoning. The learning package was developed using ADDIE’s model. The research instruments consisted of observation sheet, practicality assessment sheets from teachers and students, and spatial reasoning test. The tryout involved 106 students from three classes in SMKN 2 Ngawi. The result of research showed that instructional package of vocational school based on van Hiele theory is practical to use as can be seen from the teacher's and students’ responses. The instructional package was also considered to be effective because 82% of students passed the spatial reasoning test. The package provided figures illustration and Cartesian model that could support students’ spatial thinking. Keywords: Instructional Package; van Hiele; Spatial Reasoning

STUDENTS’ PROPORTIONAL REASONING IN MATHEMATICS THROUGH COVID-19 PANDEMIC CONTEXT

2021 ◽  
Vol 10 (3) ◽  
pp. 1670
Author(s):  
Rohati Rohati ◽  
Turmudi Turmudi ◽  
Kusnandi Kusnandi
Keyword(s):  
High School ◽  
High School Students ◽  
Problem Solving ◽  
Junior High School ◽  
Real World ◽  
Proportional Reasoning ◽  
Learning Activities ◽  
School Students ◽  
Reasoning Skills ◽  
Almost All

Abstract The aim of this study was to ascertain high school students' proportional reasoning in the sense of the COVID-19 pandemic. How do students' thoughts flow when confronted with problems requiring proportional reasoning? This research is a mixed study by collecting data through problem-solving questions to 253 junior high school students in Muaro Jambi, Jambi Province, Indonesia. The problem-solving activities are based on real-world scenarios and require reasoning that is proportional and pertinent to the COVID-19 pandemic context. Due to the ongoing COVID-19 pandemic, the test is administered through the Whatsapp framework. Students' responses are examined in detail to ascertain their proportional reasoning skills. The results indicate that almost all students correctly answered the first question. However, only a small percentage of students were able to answer to and make the correct argument for the second question. The findings indicated that students demonstrated a reasonable level of proportional reasoning when confronted with the COVID-19 pandemic situation. According to the findings of this report, it is important for teachers of mathematics to establish learning activities and problem-solving tasks that help students improve their proportional reasoning skills. Keywords: COVID-19; Problem Solving; Proportional Reasoning; Real-World Situations AbstrakTujuan dari penelitian ini adalah untuk menggali penalaran proporsional siswa SMA  dengan konteks pandemi COVID-19. Bagaimana alur pemikiran siswa ketika dihadapkan pada masalah yang membutuhkan penalaran proporsional? Penelitian ini merupakan penelitian campuran dengan pengumpulan data melalui pertanyaan pemecahan masalah kepada 253 siswa SMP di Muaro Jambi, Provinsi Jambi, Indonesia. Kegiatan pemecahan masalah didasarkan pada skenario dunia nyata dan membutuhkan penalaran yang proporsional dan relevan dengan konteks pandemi COVID-19. Karena pandemi COVID-19 yang sedang berlangsung, tes dikirim melalui aplikasi Whatsapp. Tanggapan siswa diperiksa secara rinci untuk memastikan kemampuan penalaran proporsional mereka. Hasilnya menunjukkan bahwa hampir semua siswa menjawab pertanyaan pertama dengan benar. Namun, hanya sebagian kecil siswa yang mampu menjawab dan membuat argumen yang benar untuk pertanyaan kedua. Hasil penelitian menunjukkan bahwa siswa memiliki alur penalaran proporsional yang cukup baik dengan menggunakan konteks kondisi pandemi COVID-19. Menurut temuan  ini, penting bagi guru matematika untuk menetapkan kegiatan pembelajaran dan tugas pemecahan masalah yang membantu siswa meningkatkan keterampilan penalaran proporsional mereka. Kata kunci: COVID-19; Pemecahan Masalah; Penalaran Proporsional; Situasi Dunia

scholarly journals KOMUNIKASI MATEMATIKA BERDASARKAN TEORI VAN HIELE PADA MATA KULIAH GEOMETRI DITINJAU DARI GAYA BELAJAR MAHASISWA PROGRAM STUDI PENDIDIKAN MATEMATIKA

2015 ◽  
Vol 9 (2) ◽  
pp. 159
Author(s):  
Fajar Hendro Utomo ◽  
Indah Setyo Wardhani ◽  
Muhammad Abdul Roziq Asrori
Keyword(s):  
Learning Styles ◽  
Learning Style ◽  
Auditory Learning ◽  
Van Hiele ◽  
Construct Definition ◽  
Kinesthetic Learning ◽  
Van Hiele Theory ◽  
Level 3 ◽  
Level 1 ◽  
Level 2

This objective of this study is to describe competency of mathematic communication based on Van Hiele theory on geometry course viewed from visual and kinesthetic learning styles.  The study was conducted in STKIP PGRI Tulungagung in November 2013 to August 2014, assigning 45 students as sample.  The study revealed that: First,  auditory learning style was achieved by: Level 1 = 0, Level 2 = 2, Level 3 = 9, Level 4 = 4, and Level 5 = 0, averaging at Level 3.  This means that students do not understand when they construct  definition, argument, role, formal deduction they worked;  Second, kinesthetic learning style was achieved by: Level 1 = 0, Level 2 = 6, Level 3 = 10, Level 4 = 2, and Level 5 = 0, averaging at Level 3.  This means that students do not understand on the work as done through auditory learning style.

scholarly journals Analisis Tahap Berpikir Mahasiswa STAIN Purwokerto pada Materi Geometri

2018 ◽  
Vol 15 (2) ◽  
pp. 245-255
Author(s):  
Maria Ulpah
Keyword(s):  
Student Learn ◽  
Van Hiele ◽  
Visualization Analysis ◽  
Van Hiele Theory

Abstract : Geometry is one of the most important topics in mathematic. A teacher may know students’ geometric thought so the students can learan effectively. This paper describes how student learn to reason in geometry referring to Van Hiele theory. The best know part of the theory are the five levels which the van Hieles postulated. The levels are visualization, analysis, abstraction, deduction and rigor. The study shows that the student are in alanysis level generally. Keyword: Geometry, Van Hiele Teory, Intellectuality, Student.

scholarly journals EFEKTIVITAS METODE PROBLEM BASED LEARNING DALAM MENINGKATKAN KEAKTIFAN SISWA MI TARBIYATUL ATHFAL BABAT

2020 ◽  
Vol 3 (1) ◽  
pp. 16
Author(s):  
Yulia Pramusinta
Keyword(s):  
Scientific Reasoning ◽  
Problem Based Learning ◽  
Learning Model ◽  
Learning Activities ◽  
Learning Approach ◽  
Inquiry Based Learning ◽  
Student Activity ◽  
Reasoning Skills ◽  
Scientific Reasoning Skills ◽  
Pbl Model

Student activity is one of the learning activities that should be trained to students because high scientific reasoning will affect students in making decisions and solving problems. It takes seriousness in practicing scientific reasoning skills. So the teacher must choose the appropriate learning approach. This article discusses the problem based learning model which is an inquiry-based learning model, where learning begins by giving a problem. The second discussion, introduced patterns of scientific reasoning that can be trained on students both at the concrete and formal operational stages. At the end of the discussion, the PBL model will be able to facilitate students in developing scientific reasoning

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