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All Journal Kreano, Jurnal Matematika Kreatif-Inovatif Prosiding Universitas PGRI Palembang Jurnal Riset Pendidikan Matematika Jurnal Terapan Abdimas Al-Jabar : Jurnal Pendidikan Matematika Pendas : Jurnah Ilmiah Pendidikan Dasar JTAM (Jurnal Teori dan Aplikasi Matematika) PROSIDING SEMINAR NASIONAL PROGRAM PASCASARJANA Indiktika : Jurnal Inovasi Pendidikan Matematika Jurnal Cendekia : Jurnal Pendidikan Matematika Nabla Dewantara : Jurnal Pendidikan Matematika Plusminus: Jurnal Pendidikan Matematika SCIENCE : Jurnal Inovasi Pendidikan Matematika dan IPA Edumatica: Jurnal Pendidikan Matematika Indonesian Research Journal on Education International Journal of Trends in Mathematics Education Research (IJTMER) Jurnal Pendidik Indonesia Nabla Dewantara : Jurnal Pendidikan Matematika Kreano, Jurnal Matematika Kreatif Inovatif Mathematics Education Journal
Dina Octaria
Universitas Sumatera Utara
Religion Arts Humanities Chemistry Decision Sciences, Operations Research & Management Education Energy Environmental Science Languange, Linguistic, Communication & Media Law, Crime, Criminology & Criminal Justice Library & Information Science Materials Science & Nanotechnology Mathematics Physics Social Sciences Other

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Selecta Capita of Mathematics E-Book for SHS on Contextual Teaching and Learning (CTL) Approach Octaria, Dina; Kesumawati, Nila; Retta, Allen Marga
Kreano, Jurnal Matematika Kreatif-Inovatif Vol 13, No 1 (2022): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : Mathematics Dept, Math. and Science Faculty, Universitas Negeri Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v13i1.31654

Abstract

Selecta capita of mathematics is a subject that discusses algebra, geometry, and high school calculus material. Students face obstacles during the learning process: misconceptions about studying selecta capita of mathematics and the lack of electronic textbooks. Therefore, it is necessary to have electronic textbooks that can help students to solve problems by prioritizing independence in the learning process. This study aims to produce a selecta capita of mathematics e-books for SHS on a reasonable and practical contextual teaching and learning (CTL) approach and to see the effectiveness of the e-book that has been developed. The development of selecta capita of mathematics e-book for SHS on CTL approach refers to ADDIE development model. The instruments used to determine the quality of a developed e-book are (1) questionnaires to measure the validity, (2) student response questionnaires to measure practicality, and (3) learning outcomes test questions. The results showed that selecta capita of mathematics e-books for SHS based on the CTL approach developed was good quality and could be used in learning.Kapita selekta matematika merupakan mata kuliah yang membahas materi aljabar, geometri dan kalkulus sekolah menengah atas. Salah satu kendala yang dihadapi peserta didik selama proses pembelajaran yaitu terdapat miskonsepsi dalam mempelajari kapita selekta matematika serta masih minimnya buku ajar elektronik. Oleh karena itu, diperlukan adanya bahan ajar elektronik yang dapat membantu peserta didik memecahkan permasalahan dengan mengutamakan kemandirian dalam proses pembelajaran. Penelitian ini bertujuan untuk menghasilkan e-book kapita selekta matematika SMA berbasis pendekatan contextual teaching and learning (CTL) yang valid dan praktis, serta melihat keefektifan e-book yang telah dikembangkan. Pengembangan e-book kapita selekta matematika SMA berbasis pendekatan CTL mengacu pada model pengembangan ADDIE. Instrumen yang digunakan untuk mengetahui kualitas e-book yang dikembangkan, yakni: (1) angket untuk mengukur kevalidan; (2) angket respon peserta didik untuk mengukur kepraktisan; (3) soal tes hasil belajar. Hasil penelitian menunjukkan e-book kapita selekta matematika SMA berbasis pendekatan CTL yang telah dikembangkan berkualitas baik dan dapat digunakan dalam pembelajaran.
Development of Higher Order Thinking Skills (HOTS) Test Instruments in Geometry Octaria, Dina; Ningsih, Yunika Lestaria; Destiniar, Destiniar; Fitriasari, Putri
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 6, No 4 (2022): October
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v6i4.8808

Abstract

Critical thinking, creativity, communication, and collaboration are all skills that students must have in the twenty-first century. A meaningful assessment, where the assessment can develop higher-order thinking skills, is one effort to realize the achievement of 21st-century skills. The goal of this research is to develop a HOTS test instrument relying on valid and reliable geometry for students. This study is a development study that employs the Akker development model. This study's data was gathered through questionnaires, documentation, interviews, and tests. The data were descriptively, qualitatively, and quantitatively analyzed. As a result of this research, the HOTS test instrument on the developed material is valid and reliable for students. The results of the expert's assessment of the content and language of the questions indicate the validity of the questions. The overall validity of the test instrument is 85.71 percent. A large-scale trial involving 110 students in grade 10 of senior high school yielded the empirical validity and reliability of the test items, with the test results indicating that 18 items were declared valid and reliable. As a result, the created Geometry test instrument can be used to assess students' HOTS abilities. 
Infographic Development through Instagram to Reduce Mathematics Anxiety and Increase Student Learning Outcomes Sari, Arika; Octaria, Dina; Utari, Rahma Siska; Somakim, Somakim; Hiltrimartin, Cecil; Hartono, Yusuf; Darmawijoyo, Darmawijoyo
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 7, No 2 (2023): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v7i2.12512

Abstract

Research is a descriptive research that aims to describe the product development process in the form of infographic learning media in algebra material through Instagram that is appropriate for students to use for independent learning activities. This research focuses on creating infographic media in algebra material through Instagram to reduce mathematics anxiety and improve learning outcomes. The method used in this research is development research using the Sadiman’s model. The stages in this development model are preliminary stage, prototyping stage, and final stage, which from three stages contain of nine steps, namely identification of needs, formulation of objectives, formulation of materials, formulation of success measurement tools, writing of media scripts, production, tests/trials, revisions and the final product. There were 34 students of seventh graders of junior high school participating in this study. Data was collected through interviews, observations, tests, and questionnaires. Data were analyzed quantitatively and qualitatively. The results of the validation test by experts show that 93% of infographics through Instagram as strengthening students' understanding are included in the valid category and are suitable for use in the learning process. In addition, as many as 88% of students experienced an increase in learning outcomes after learning to use infographics through Instagram which indicated that the level of student anxiety in learning mathematics had decreased.
Spatial Literacy and Error Patterns in Elementary 3D Geometry: Foundations for Local Instructional Theory Octaria, Dina; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Hiltrimartin, Cecil
Edumatica : Jurnal Pendidikan Matematika Vol 16 No 1 (2026): Edumatica: Jurnal Pendidikan matematika (April 2026)
Publisher : Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/edumatica.v16i1.48212

Abstract

Spatial literacy is a vital math skill for students to learn during their three-dimensional geometry education. The two skills remain essential, yet most fifth-grade students struggle with spatial tasks. This challenge restricts their conceptual growth. The research examines fifth-grade students’ spatial literacy abilities and their error patterns to provide evidence for developing a Local Instructional Theory (LIT) on three-dimensional geometry. The research included 118 fifth-grade students (aged 10-11 years) from two public primary schools in Palembang who participated in a descriptive quantitative study with error analysis. The research data came from student performance on the spatial literacy diagnostic test and their error analysis records. The researchers applied descriptive statistics to determine average scores and establish performance levels for visualisation, reasoning, and communication skills. The researchers categorised student mistakes into four categories: procedural errors, conceptual errors, representational errors and communicative errors. The students produced results indicating significant differences in their performances. Students failed to perform basic procedural tasks, including spatial form comparison and application of formal notation, while they struggled with complex visualisation and the development of multiple-step spatial thinking and conceptual understanding. Students’ learning difficulties manifest as systematic errors, indicating that their challenges stem from complex, interconnected issues rather than random mistakes. The research results demonstrate that students need instruction which teaches them to develop their visualisation abilities, their reasoning skills, and explanatory competencies. The designs serve as an essential tool for uniting procedural fluency with conceptual understanding, leading to better spatial literacy in early geometry education.
Integration of Ethnomathematics-Project-Based-Learning to Enhance Understanding of Geometric Transformations Kesumawati, Nila; Ningsih, Yunika Lestaria; Octaria, Dina; Rohana
Kreano, Jurnal Matematika Kreatif-Inovatif Vol. 16 No. 2 (2025): Kreano, Jurnal Matematika Kreatif-Inovatif
Publisher : UNNES JOURNAL

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15294/kreano.v16i2.36267

Abstract

Transformation geometry is an important topic in mathematics education. However, undergraduate instruction is often abstract and focused on procedures, which limits students’ conceptual understanding. Project-Based Learning and ethnomathematics are known to support meaningful learning. Nevertheless, studies that integrate ethnomathematics into a Project-Based Learning framework for teaching transformation geometry in mathematics education programs are still limited. This study aims to develop and evaluate an ethnomathematics-based PjBL model to improve students’ understanding of transformation geometry. The research employed a research and development (R&D) approach using the ADDIE model, encompassing the Analysis, Design, Development, Implementation, and Evaluation stages. The study was conducted with second-year undergraduate students enrolled in a Transformation Geometry course in the Mathematics Education program at Universitas PGRI Palembang. Ethnomathematical contexts drawn from local cultural practices, such as weaving patterns, wood carving motifs, and traditional architecture, were integrated into project-based learning activities. Data were collected through expert validation sheets, pretest–posttest instruments, observation sheets, and student response questionnaires. The results indicate that the developed learning model is valid, as evidenced by expert assessments of content, pedagogy, and media; practical, based on high levels of implementation and positive student responses; and effective, as shown by significant improvements in students’ transformation geometry learning outcomes. These findings suggest that integrating PjBL with ethnomathematics offers a contextually grounded and pedagogically robust approach to enhancing conceptual understanding of transformation geometry at the undergraduate level. Abstrak Geometri transformasi merupakan topik penting dalam pendidikan matematika. Namun, pembelajaran pada jenjang perguruan tinggi masih sering bersifat abstrak dan berfokus pada prosedur, sehingga membatasi pemahaman konseptual mahasiswa. Project-Based Learning dan etnomatematika telah dikenal mampu mendukung pembelajaran yang bermakna. Meskipun demikian, penelitian yang mengintegrasikan etnomatematika ke dalam kerangka Project-Based Learning untuk pembelajaran geometri transformasi pada program pendidikan matematika masih terbatas. Penelitian ini bertujuan untuk mengembangkan dan mengevaluasi model Project-Based Learning berbasis etnomatematika guna meningkatkan pemahaman mahasiswa terhadap geometri transformasi. Penelitian ini menggunakan pendekatan penelitian dan pengembangan (Research and Development) dengan model ADDIE yang meliputi tahap analisis, perancangan, pengembangan, implementasi, dan evaluasi. Penelitian dilaksanakan pada mahasiswa semester dua yang mengikuti mata kuliah Geometri Transformasi pada Program Studi Pendidikan Matematika di Universitas PGRI Palembang. Konteks etnomatematika yang bersumber dari praktik budaya lokal, seperti motif tenun, ukiran kayu, dan arsitektur tradisional, diintegrasikan ke dalam kegiatan pembelajaran berbasis proyek. Data dikumpulkan melalui lembar validasi ahli, instrumen pretest–posttest, lembar observasi, dan angket respons mahasiswa. Hasil penelitian menunjukkan bahwa model pembelajaran yang dikembangkan bersifat valid berdasarkan penilaian ahli terhadap aspek materi, pedagogik, dan media; praktis berdasarkan tingkat keterlaksanaan yang tinggi dan respons positif mahasiswa; serta efektif yang ditunjukkan oleh peningkatan hasil belajar geometri transformasi mahasiswa secara signifikan. Temuan ini menunjukkan bahwa integrasi Project-Based Learning dengan etnomatematika menawarkan pendekatan pembelajaran yang kontekstual dan kuat secara pedagogis untuk meningkatkan pemahaman konseptual geometri transformasi pada jenjang perguruan tinggi.
Reimagining Space: Developing a Museum-Based Local Instructional Theory for Spatial Literacy in Elementary Geometry Octaria, Dina; Zulkardi, Zulkardi; Putri, Ratu Ilma Indra; Hiltrimartin, Cecil
Mathematics Education Journal Vol. 20 No. 1 (2026): Mathematics Education Journal
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/mej.v20i1.pp1-26

Abstract

Spatial literacy is a key competency in elementary geometry. However, students often face difficulties in visualization, spatial reasoning, and spatial communication, particularly in learning cubes and cuboids. Common challenges include visualizing nets, understanding volume as layered space, and using formal spatial terminology. This study aims to develop a local instructional theory (LIT) on the volume and surface area of cubes and cuboids to strengthen spatial literacy through a culturally grounded learning trajectory situated in the Sultan Mahmud Badaruddin II Museum. It involved 44 fifth-grade students (aged 10-11) and employed a validation study design consisting of preparing for the experiment, design experiment (pilot and teaching experiments), and retrospective analysis. Data were collected through classroom observations, video recordings, student worksheets, miniature products, and group discussions. The data were then analyzed qualitatively using triangulation. Findings reveal recurring misconceptions, such as incorrect cube nets, interpreting volume as a two-dimensional, conflating surface area and volume, and reliance on informal language. Students’ learning progressed from contextual exploration to formal representation using manipulatives, teacher scaffolding, and Augmented Reality (AR). The resulting LIT is defined by three principles: the integration of manipulatives and AR, an emphasis on inter-dimensional relationships, and the enhancement of formal spatial communication within a Pendekatan Matematika Realistik Indonesia (PMRI) and Project-Based Learning (PjBL) framework.
Co-Authors Abdullah, Bz Septeiyawan Afni, Sanika Nur Allen Marga Retta, Allen Marga Ananda, Mardha Tilla Anggraini, Deti Anggriani, Wendy Bernessa, Berlin Inbay Cecil Hiltrimartin Darmawijoyo, Darmawijoyo Destiniar Destiniar Destiniar, Destiniar Dewi Rawani Dwi Nopriyanti, Tika Eka Fitri Puspa Sari, Eka Fitri Eka Fitri Puspa Sari, Eka Fitri Puspa Fuadiah, Nyiayu Fahriza Jumroh, Jumroh Kusumawati, Nyimas Inda Kusumawati, Nyimas Indah Lusiana Lusiana Masnunah, Masnunah Meisya Sari, Wayan Nila Kesumawati Ningsih, Yunika Lestaria Novitasari, Gensa Pirnando, Meilan Putri Fitriasari, Putri Rahma Siska Utari Ratu Ilma Indra Putri Rohana Sari, Arika Somakim, Somakim Suci, Della Tika Dwi Nopriyanti, Tika Dwi Widya Handayani Wiwi, Wiwi Nopianda Wulandari, Fadhilah Apri Wulandari, Iswayuni Yusuf Hartono Zulkardi Zulkardi