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Exploring a Teacher’s Knowledge in Constructing Mathematical Lateral Thinking Problems to Teach Creativity Shodiq, Lukman Jakfar; Juniati, Dwi; Susanah, Susanah; Rohmania, Ainnur
International Journal on Emerging Mathematics Education IJEME, Vol. 9 No. 1, March 2025
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/ijeme.v9i1.30886

Abstract

This study examined the process of constructing mathematical problems to teach creativity using the concept of lateral thinking. It employed a case study design and involved a senior junior high school mathematics teacher who has won mathematics learning innovation competitions. The teacher has understood what is meant by mathematical creativity and lateral thinking, and has proven his mathematical ability and lateral thinking ability. He was asked to create his own math problems, teach creativity, and assess students' math learning outcomes using the problems. The findings of this study highlight three key relationships: (1) the connection between mathematical content knowledge and problem-structuring ability, (2) the influence of training experience on methods for teaching creativity, and (3) the interrelationship among content knowledge, training experience, and assessment practices. These highlight the importance of integrating content knowledge and pedagogical approaches in mathematics learning to enhance creative problem-solving skills.
Analysis of Mathematics Education Students' Reasoning in Determining the Truth Value of Quantification Suhendar, Uki; Juniati, Dwi; Khabibah, Siti; Sumaji, Sumaji
Jurnal Pendidikan MIPA Vol 26, No 1 (2025): Jurnal Pendidikan MIPA
Publisher : FKIP Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23960/jpmipa.v26i1.pp657-672

Abstract

Reasoning refers to the structured and logical process of drawing conclusions from given premises. Students of mathematics education, who are being prepared as future educators, are expected to possess strong logical reasoning skills in order to comprehend and convey more advanced mathematical concepts. This study aims to analyze the reasoning abilities of mathematics education students in determining the truth value of quantified statements. The central research question is: How do students' reasoning abilities relate to the accuracy of their problem-solving in the context of quantification? An explorative qualitative approach was employed to explore students' reasoning in evaluating the truth values of quantified statements. The study involved 13 students from the Mathematics Education Department at Universitas Muhammadiyah Ponorogo who were enrolled in the Mathematical Foundations course during the 2024/2025 academic year. Data collection instruments included a set of test questions and open-ended interview protocols. The analysis focused on indicators of mathematical reasoning, including: (1) identifying facts, patterns, properties, and relationships, (2) drawing logical conclusions, (3) making predictions and solving problems, and (4) constructing systematic and valid arguments. Following the written assessment, three students representing different levels of performance were selected for in-depth interviews. The findings revealed that while all three participants demonstrated potential in mathematical reasoning, each exhibited specific areas requiring further development. Subject N was proficient in deconstructing quantification problems and drawing logical conclusions, although further probing during the interview revealed gaps in deeper conceptual understanding. Subject A displayed semantic comprehension of quantification but lacked precision in applying formal logic and integrating numerical analysis. Subject F demonstrated a verbal understanding of truth value criteria and was capable of drawing conclusions, yet faced challenges with formal notation, particularly with singular quantifiers. Overall, the participants exhibited promising reasoning abilities but required reinforcement in interpreting formal notation, constructing valid arguments, and accurately applying logical structures. Misinterpretations of quantifier symbols and formal argument patterns were identified as common errors.      Keywords: mathematical reasoning, truth valu, quantification.
Examining prospective teachers’ belief and pedagogical content knowledge towards teaching practice in mathematics class: A case study Muhtarom; Juniati, Dwi; Siswono, Tatag Yuli Eko
Journal on Mathematics Education Vol. 10 No. 2 (2019): Journal on Mathematics Education
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Beliefs and pedagogical content knowledge (PCK) are two factors influencing teaching practice in the classroom. This research aims to describe the beliefs and PCK of the prospective mathematics teachers and the relationship between the two factors on the teaching practices in the mathematics classroom. Participant in this research includes a prospective teacher who has taken a micro teaching subject and has good communication skill. Data were collected through interview and video analysis on the teaching practice in the classroom. The data obtained were coded, simplified, presented, and triangulated for the credibility and concluded. The result of the research shows that the prospective teachers who hold a constructivist belief view mathematics as a dynamic knowledge which evolves and is regarded as the space of creation for humans. Their beliefs on the nature of mathematics support the belief in the teaching-learning process in mathematics classrooms. Furthermore, a good understanding of the prospective teachers have on the components of the PCK has been sufficient, which can be identified in every step of practical activities in the classroom. More elaboration on the relationship between the belief and PCK is presented in this research.
Climber Prospective Teacher: Relationship Beliefs and Mathematics Teaching Practice Muhtarom, Muhtarom; Siswono, Tatag Yuli Eko; Juniati, Dwi
Al-Jabar: Jurnal Pendidikan Matematika Vol 11 No 1 (2020): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v11i1.6103

Abstract

This research explained the description of the beliefs of prospective teacher who had an adversity quotient type climber and the relationship between beliefs and mathematics teaching practices in the classroom. One student of climber prospective teacher who had taken an internship course and had good communication skill was willing to become a research subject. Semi-structured interview and observation of learning in class were used to obtain the research data. The data that had been obtained were coded, reduced, presented, triangulated to obtain credible data, and then conclusions were drawn. The results show that the climber math prospective teacher believes that mathematics is as something dynamic, namely the space of creation, human invention that develops continuously. Teaching mathematics is student-centered through problem providing or problem solving, and learning is as a construction of student’s active understanding to build knowledge. A more detailed explanation of beliefs description and the relationship with the mathematics teaching practice is described in this research. 
Case Study: Exploration of Numeracy Through a Metacognitive Knowledge Approach Santoso, Hajar Ahmad; Juniati, Dwi; Khabibah, Siti
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 8 No. 2 (2025): JRPIPM APRIL 2025
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v8n2.p182-196

Abstract

This study explores students' numeracy literacy skills through a metacognitive approach with the Metacognitive Awareness Inventory (MAI) framework. Four female subjects were selected based on their highest scores on knowledge of cognition and regulation of cognition. Data were collected through problem-solving tests and in-depth interviews, analyzed based on six indicators of numeracy literacy: understanding the context of the problem, data interpretation, problem solving, reflection and reasoning, mathematical communication, and decision making. The results showed that regulation of cognition supported effective reflection and evaluation, as seen in Subject 3, who solved the problem in a structured and confident manner. In contrast, Subject 4 took longer and often hesitated even though her steps were correct. Subjects 1 and 2, with a focus on knowledge of cognition, excelled in choosing strategies but required additional reflection to ensure accuracy. This study emphasizes the importance of integrating numeracy literacy and metacognitive strategies in learning to improve students' critical and reflective abilities.
ANALISIS KEMAMPUAN PEMECAHAN MASALAH DAN PENGAJUAN MASALAH MATEMATIS MAHASISWA CALON GURU MATEMATIKA Widayanti, Evi; Juniati, Dwi; Khabibah, Siti
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 10 No 1 (2025): Juni
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v10i1.11082

Abstract

Kemampuan pemecahan masalah dan pengajuan masalah matematis merupakan dua kompetensi penting yang harus dimiliki oleh calon guru matematika dalam menghadapi tantangan pembelajaran abad ke-21. Tujuan dari penelitian ini adalah untuk menganalisis kemampuan pemecahan masalah dan pengajuan masalah matematis mahasiswa calon guru matematika. Metodologi penelitian yang digunakan adalah kualitatif deskriptif. Subjek penelitian sebanyak 3 orang dengan 1 subjek berkemampuan rendah, 1 subjek berkemampuan sedang, dan 1 subjek berkemampuan tinggi. Pemilihan subjek didasarkan pada hasil Indeks Prestasi Kumulatif (IPK) mahasiswa. Pengambilan data dilakukan dengan metode tes. Analisis datanya menggunakan analisis data kualitatif dengan tiga tahapan yaitu kondensasi data, penyajian data, penarikan dan verifikasi data. Hasil dari peneltian ini menunjukkan bahwa subjek dengan kemampuan rendah dan sedang tidak mampu memecahkan masalah matematis yang diberikan dengan benar sedangkan subjek dengan kemampuan tinggi mampu memecahkan masalah dengan jawaban yang benar. Subjek dengan kemampuan rendah dan sedang mengajukan masalah dengan kategori rendah sedangkan subjek dengan kemampuan tinggi mengajukan masalah dengan kategori sangat tinggi. Temuan ini memberikan gambaran penting bagi pendidik dan program pendidikan guru untuk merancang strategi pembelajaran yang lebih efektif dalam mengembangkan kemampuan pemecahan masalah dan pengajuan masalah matematis calon guru matematika.
ANALISIS KEMAMPUAN BERPIKIR KRITIS SISWA KELAS VIIIA SMPK ST. PAULUS KARUNI DALAM MENYELESAIKAN SOAL MATERI FUNGSI Moza, Florida; Juniati, Dwi; Khabibah, Siti
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 10 No 1 (2025): Juni
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v10i1.11095

Abstract

Penelitian ini bertujuan untuk menganalisis kemampuan berpikir kritis siswa kelas VIIIA SMPK St. Paulus Karuni dalam menyelesaikan soal matematika yang dirancang khusus pada materi fungsi. Kemampuan berpikir kritis menjadi salah satu keterampilan penting dalam pendidikan, khususnya dalam matematika, karena dapat membantu siswa memahami, menganalisis, dan mengevaluasi masalah secara logis. Metode penelitian yang digunakan yaitu deskriptif kualitatif. Subjek penelitian berjumlah 23 siswa. Tes diberikan untuk mengukur pemahaman siswa setelah pembelajaran selesai. Analisis jawaban siswa dilakukan berdasarkan indikator kemampuan berpikir kritis menurut Jacob & Sam (2008): (1) Clarification (memformulasikan masalah secara tepat dan jelas), (2) Assessment (mengajukan pertanyaan atau masalah utama dalam konteks masalah), (3) Inference (memberikan alasan berdasarkan kriteria dan standar yang relevan), dan (4) Strategies (berpikir dan memberikan solusi alternatif secara terbuka). Berdasarkan hasil tes diperoleh sebanyak 13 siswa (56,5%) termasuk kategori baik (80–100), 4 siswa (17,4%) dalam kategori cukup (60–79), dan 6 siswa (26,1%) dalam kategori kurang (0–59). Berdasarkan hasil analisis kemampuan berpikir kritis siswa, hasil menunjukkan bahwa kemampuan berpikir kritis siswa kelas VIIIA dalam menyelesaikan masalah matematika pada materi fungsi bervariasi, dengan sebagian besar siswa memiliki kemampuan berpikir kritis yang baik. Sebagian besar siswa mampu memenuhi indikator Clarification dan Assessment dengan baik, menunjukkan kemampuan untuk memahami informasi dalam soal dan merumuskan masalah secara tepat. Namun, pada indikator Inference dan Strategies, beberapa siswa masih mengalami kesalahan, terutama dalam melakukan perhitungan dan menyimpulkan persamaan fungsi. Temuan ini diharapkan dapat menjadi acuan bagi guru dalam merancang strategi pembelajaran yang lebih efektif untuk mengembangkan kemampuan berpikir kritis siswa.
ANALISIS KEMAMPUAN BERPIKIR KRITIS SISWA DALAM MENYELESAIKAN MASALAH PERSAMAAN LINEAR SATU VARIABEL MELALUI TES TERTULIS Anarato, Elsiani; Juniati, Dwi; Khabibah, Siti
Jurnal Silogisme : Kajian Ilmu Matematika dan Pembelajarannya Vol 10 No 1 (2025): Juni
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24269/silogisme.v10i1.11153

Abstract

Penelitian ini bertujuan menganalisis kemampuan berpikir kritis siswa dalam menyelesaikan masalah persamaan linear satu variabel melalui tes tertulis. Latar belakang penelitian ini didasari pentingnya keterampilan berpikir kritis dalam pembelajaran matematika, khususnya pada materi persamaan linear yang banyak diterapkan dalam kehidupan sehari-hari. Penelitian ini menggunakan pendekatan kualitatif dengan metode deskriptif. Subjek penelitian adalah 15 siswa kelas VIII A SMP Katolik St. Paulus Karuni yang dipilih secara purposif. Instrumen penelitian berupa soal uraian yang dirancang untuk mengukur empat indikator berpikir kritis menurut Ennis, yaitu memberikan penjelasan sederhana, penjelasan lanjut, mengatur strategi dan taktik, serta menyimpulkan dan mengevaluasi. Hasil penelitian menunjukkan bahwa kemampuan berpikir kritis siswa terbagi dalam empat kategori, yakni sangat tinggi (7 siswa), tinggi (2 siswa), sedang (3 siswa), dan rendah (3 siswa). Siswa yang masuk kategori sangat tinggi mampu memenuhi hampir seluruh indikator berpikir kritis, sedangkan siswa pada kategori rendah cenderung mengalami kesalahan dalam pemodelan matematika dan tidak melakukan evaluasi hasil. Temuan ini menegaskan adanya kesenjangan antara tuntutan pembelajaran yang menekankan pengembangan keterampilan berpikir kritis dan kemampuan riil siswa di kelas. Oleh karena itu, hasil penelitian ini diharapkan dapat menjadi dasar bagi guru dalam merancang strategi pembelajaran yang lebih efektif untuk meningkatkan keterampilan berpikir kritis siswa pada materi persamaan linear satu variabel
Pelatihan Pengkonstruksian Masalah Matematika HOTS Bagi Guru-Guru Sekolah Dasar di Kabupaten Pasuruan Artiono, Rudianto; Juniati, Dwi; Budayasa, I Ketut; Maulana, Dimas Avian
Jurnal Pengabdian Masyarakat Progresif Humanis Brainstorming Vol 8, No 4 (2025): Jurnal Abdimas PHB : Jurnal Pengabdian Masyarakat Progresif Humanis Brainstormin
Publisher : Politeknik Harapan Bersama

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30591/japhb.v8i4.9711

Abstract

Pendidikan matematika di Sekolah Dasar tidak hanya bertujuan untuk membekali siswa dengan pemahaman konsep dasar matematika, tetapi juga untuk melatih cara berpikirnya. Seiring dengan tuntutan perkembangan global, penggunaan soal matematika berbasis HOTS menjadi sangat penting untuk melatih siswa terbiasa menganalisis, menyintesis, dan menerapkan konsep dasar dalam kehidupan nyata. Hasil evaluasi yang dilakukan oleh pihak Dinas Pendidikan Kabupaten Pasuruan mencerminkan perlunya peningkatan kualitas pembelajaran matematika khususnya kemampuan guru dalam mengkonstruksi permasalahan matematika yang berbasis HOTS. Tim PKM Matematika Unesa menawarkan solusi berupa kegiatan pelatihan pengkonstruksian masalah matematika berbasis HOTS yang berkualitas dalam hal ini lebih difokuskan pada konten literasi matematika numerasi untuk guru-guru SD di Kabupaten Pasuruan. Kegiatan ini telah dilaksanakan pada tanggal 13 Juli 2024 di SMPN 1 Bangil Pasuruan dan diikuti oleh 25 Guru SD dari beberapa kecamatan yang ada di Kabupaten Pasuruan secara luring. Kegiatan selanjutnya dilakukan secara daring untuk mendapatkan hasil sesuai yang diharapkan. Dari hasil pengerjaan tugas yang diberikan kepada peserta pelatihan, terjadi peningkatan pemahaman guru sebesar 85% dalam mengkonstruksi soal matematika HOTS. Dari hasil kegiatan ini dapat disimpulkan bahwa dengan adanya peningkatan kemampuan guru dalam mengkonstruksi masalah matematika HOTS sesuai dengan tujuan diadakannya PKM akan membawa pengaruh positif terhadap kualitas pembelajaran matematika di Kabupaten Pasuruan.
Kinds of Mathematical Thinking Addressed in Geometry Research in Schools: A Systematic Review Fachrudin, Achmad Dhany; Juniati, Dwi
Jurnal Riset Pendidikan dan Inovasi Pembelajaran Matematika Vol. 6 No. 2 (2023): JRPIPM APRIL 2023
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/jrpipm.v6n2.p154-165

Abstract

Geometry is one of the content of mathematics which in many studies is associated with students' thinking abilities, such as critical thinking and reasoning abilities or others..This study aims to conduct a systematic review of the geometry research in school for identifying the types of mathematical thinking and their interconnections. We searched the Scopus database for articles published from 2003 to 2023 using relevant keywords. We applied the PRISMA method to select and evaluate the studies or articles based on the empirical data. We retrieved and evaluated data from the studies on the various styles of mathematical thinking evolved. Out of 166 titles that were initially obtained, only 10 titles passed the five stages of the systematic review protocol process. We identified 10 types of mathematical thinking that were discussed in the context of learning geometry at school: Creative Mathematical Reasoning (CMR), Computational thinking, Geometric reasoning, Geometric thinking van hiele theory, Geometric thinking (3D geometric thinking with representations), 3D geometry thinking, Visuo spatial reasoning, Geometry Spatial Reasoning, mathematical creative reasoning (MCR), and Inductive reasoning. We also found some connections of literature between these types of mathematical thinking, such as CMR and MCR, Geometric reasoning and Geometric thinking, and Visuo spatial reasoning and Geometry Spatial Reasoning. This systematic review provides an overview of the current state of research on geometry and reasoning in school mathematics and reveals some gaps and directions for future study. It also has implications for teachers who want to enhance their students’ mathematical thinking skills in geometry by exposing them to different types of mathematical thinking and their connections.
Co-Authors Achmad Fachruddin Achmad Fachruddin Ade Irfan Adelia Damayanti AGUNG LUKITO Agung Lukito Agung Lukito Aini, Rahmawati Nur Almaratul Azizah Aminuyati Anarato, Elsiani Ardianto Pandapotan Siregar, Ardianto Pandapotan Astrie Pratiwi Damayanti Atik Wintarti Atik Wintarti A’yunin Sofro Budi Priyo Prawoto BUDI RAHADJENG Cut Khairunnisak Dede de Haan Dedi Rahman Siolimbona Dedi Siolimbona Deka Anjariyah Devina Venezia Ariani Dewi Sukriah Dewi Sukriyah, Dewi Dhany Fachrudin, Achmad Dimas Duzazagi Akbar Dwi Ivayana Sari, Dwi Ivayana Elisabet Ayunika Permata Sari Elly Anjarsari enny listiawati, enny Evangelista Lus Windyana Palupi Evi Novita Wulandari Farman Farman Farman, Farman Feby Febriyanti Puji Lestari Filda Maria Chiftia Firdiana, Winda Firzya Febriyan Ika Arvianita Florida Moza, Florida Gabariela Purnama Ningsi Hongki Julie I Ketut Budayasa I Wayan Puja Astawa Ikha Yuliati Ismail, Ismail Janet Trineke Manoy Kusumaningtyas, Septhiana Indra Lukito, Agung Lukman Jakfar Shodiq Lutfiah, Farah Conita M. J. Dewiyani Sunarto Maulana, Dimas Avian Mega Fatimah Rosana Mochammad Sofyan Sauri muhtarom Muhtarom Nandita Ayunengdyah Naufal Ishartono NIHAYATUS SAADAH Nikmarocha Ningsi, Gabariela Purnama Nur Aulia Jadidah Nur Muawaliana Nurhadijah Pradnyo Wijayanti Rachmat Hidayat RADEN SULAIMAN Rahman, Fatchiyah Rahmatika, Ismi Rahmawati Nur Aini Rahmawati, Anis Wahyu Reni Rachmawati Reni Rachmawati Reny Wahyuni Rohmania, Ainnur Roisatun Nisa Rooselyna Ekawati RUDIANTO ARTIONO, RUDIANTO S, Adnan Santoso, Hajar Ahmad Septhiana Indra Kusumaningtyas, Septhiana Indra SETYONINGSIH, ANIS Siti Khabibah Siti Khabibah Siti Maghfirotun Amin Sitti Maesuri Patahudin Soffil Widadah Soffil Widadah, Soffil St. Suwarsono Stefany Margaretha Hutauruk suhendar, uki Suliani, Mega Sumaji Susanah Tasya Florensia Tatag Yuli Eko Siswono Tina Rosyana Usman, Ulfiani Usmiyatun Widayanti, Evi Windi Setiawan Wulandari, Evi Novita Yunianti, Dwi Nur