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Spatial Thinking in Conic Sections: A Study of Undergraduate Mathematics Students by Sex and Spatial Category Dintarini, Mayang; Budiarto, Mega Teguh; Fuad, Yusuf
Mathematics Education Journal Vol. 19 No. 2 (2025): Jurnal Pendidikan Matematika
Publisher : Universitas Sriwijaya in collaboration with Indonesian Mathematical Society (IndoMS)

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

Abstract

Spatial thinking plays an important role in solving conic section problems. When students encounter problems involving shapes like parabolas, ellipses, and hyperbolas, they need not only grasp the algebraic representations but also visualize how a plane intersects a cone in three-dimensional space. Unlike previous studies that focused on psychometric tasks disconnected from classroom content, this study integrates spatial thinking directly into mathematical problem-solving, specifically in conic sections. The study examines undergraduate students' spatial thinking skills on conic sections, based on spatial thinking categories and sex differences. Twenty-five undergraduate students (4 males and 21 females) from the Mathematics Education Department at Universitas Muhammadiyah Malang, enrolled in an analytical geometry course and participated in a spatial thinking test. Additionally, four students (2 males and 2 females), representing both high and low spatial thinking abilities, were interviewed to provide deeper insights into students' spatial thinking. The results show that students with high spatial thinking abilities demonstrated strong mental visualization skills but had minor difficulties and errors in representing detailed components. Moreover, students with lower spatial thinking abilities have difficulties in visualizing complex objects and often misinterpret spatial representations. Furthermore, male students provided limited written explanations of spatial object characteristics, whereas female students faced difficulties in accurately drawing 3D spatial objects but compensated with effective 2D representations and verbal explanations. In conclusion, the findings show that the difficulties of spatial thinking are influenced by spatial thinking categories and gender differences, offering rich information to design more effective mathematics learning.
Development of Braille Number Card As Learning Media on Integer Materials for Blind Students Igirisa, Shendy S; Fuad, Yusuf; Ismail, Sumarno
International Journal for Educational and Vocational Studies Vol. 1 No. 4 (2019): August 2019
Publisher : Universitas Malikussaleh

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29103/ijevs.v1i4.1604

Abstract

Losing vision for blind students makes them difficult to access education. Thus, blind students need special tools like interesting and applicable learning media, teaching methods, and techniques for them. This study was developmental research that aimed to describe the result of instructional media development of braille number card to improve blind students' understanding on integer number and describe their understanding after using braille number card as learning media at special needs elementary school. The subjects of this study consisted of three students with low vision, partially sighted students, and blind students. The research model used was ADDIE development model (analysis, design, development, implementation, and evaluation). Data were collected using test and questionnaire to know their understanding of braille number card as learning media on integer numbers. The result showed that blind students responded positively with an average score of 83% and 66.7% of their learning test. Therefore, It can be concluded that braille number card as instructional media can be used in teaching and learning activity to improve blind students' understanding.
Analisis Pelaksanaan Pelatihan Penulisan Karya Tulis Ilmiah di MGMP Matematika SMP Kabupaten Lumajang Sofro, A'yunin; Khikmah, Khusnia Nurul; Fuad, Yusuf; Maulana, Dimas Avian; Lukito, Agung; Auliya, Elok Rizqi
Aksiologiya: Jurnal Pengabdian Kepada Masyarakat Vol 8 No 2 (2024): Mei
Publisher : Universitas Muhammadiyah Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30651/aks.v8i2.13610

Abstract

Wabah Covid-19 merupakan ancaman nyata bagi kesehatan global dan menjadi beban dan tantangan serius bagi semua negara. Covid-19 berdampak pada melemahnya perekonomian, tetapi dampaknya juga dirasakan dalam dunia pendidikan. Keprofresionalan seorang guru sangatlah dibutuhkan untuk menghadapi berbagai tantangan. Guru memegang peranan yang sangat penting dalam mendukung program pemerintah khususnya peningkatan kualitas pendidikan, terutama di masa pandemi saat ini. Seorang guru yang profesional juga diharapkan selalu melakukan penelitian yang dituangkan dalam suatu karya tulis ilmiah. Untuk mendukung kualitas dari karya tulis ilmiah, analisis data dalam penelitian juga sangat diperlukan. Di sisi lain, MGMP Matematika SMP Kabupaten Lumajang membutuhkan pelatihan untuk meningkatkan kinerja guru. Sehingga, menggiatkan guru untuk melakukan penulisan karya ilmiah dengan analisis statistika adalah salah satu solusi yang tepat dilakukan. Dari hasil yang didapatkan bahwa kriteria keberhasilan dari sisi output telah terpenuhi. Lebih dari 90 persen kelompok telah mencapai target kinerja yang ditetapkan. Sedangkan dari sisi proses, sekitar 80 persen lebih peserta memberikan kesan positif terhadap workshop yang telah dilakukan. Dengan adanya pelatihan tersebut juga ada peningkatan kinerja guru dalam penulisan karya ilmiah sebesar 82 persen.
Pemberian Scaffolding Kepada Siswa SMP dalam Menyelesaikan Soal Pisa Konten Change and Relationship Loka, Yollanda Dhea Lusfita; Fuad, Yusuf
EDUKASIA Jurnal Pendidikan dan Pembelajaran Vol. 4 No. 2 (2023): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v4i2.483

Abstract

Change and relationship is a content in PISA that is classified as having a low score, because students experience errors in completing it, so to find out the student's mistakes, Newman's analysis is needed which is useful to find out the mistakes made by students, as well as scaffolding efforts to minimize and overcome errors. This study aims to describe the provision of scaffolding to junior high school students in solving PISA content change and relationship problems at Proklamasi Balongbendo Junior High School for the 2022/2023 even semester in April. Of the three classes consisting of classes VIII-a (32 students), VIII - B (31 students), and VIII-C (32 students). Then selected Class VIII-B purposively in this study, consisting of 16 male students and 15 female students. Purposive selection based on, special characteristics in the form of student ability and student activity in the classroom. The tests were conducted on all students of Class VIII - B, namely the initial ability test (TKA) and the PISA Ability Test (TKP). The subjects were selected based on the results of analysis of student answers and scores of initial ability test (TKA) and PISA ability test (TKP) and considering the UAS scores in mathematics subjects of students in semester 1, the subjects consisted of high ability subjects (S1), medium ability subjects (S2), and low research subjects (S3). The results of the study stated S1 able to read the question correctly, can understand the purpose of the problem, explain all the information in the question and be able to understand what is being asked, able to write a plan of completion, by doing pemisalan and using formulas that are in accordance with the solution of the question, mention the conclusions in accordance with the conclusions of the answers obtained from the work done. S2 is able to be able to read the problem correctly, explain what information is obtained from the problem, able to understand what is meant by the problem and write what is known and asked in the problem, able to transform the problem into a mathematical model by making a calculation from the information obtained in the problem, but have difficulty in performing calculation operations so as not to get the correct final result, S2 is able to write conclusions in accordance with the results obtained, but not precisely because the answers obtained are also not precise so that the results obtained in the conclusion are not correct. S3 is able to read the problem correctly, explaining all the information known from the question correctly. S3 does not define formulas and models math. S3 directly perform the overall calculation operation based on the information in the problem. And in the course of the interview the subject said with confidence that there was a proper formula to solve it, but he did not know the formula so did not write it down. S3 is not able to write the final conclusion precisely because the results of the answers obtained are also not appropriate. The type of error S1 in solving the PISA content change and relationship problem is a transformation error, and a process skill error. The types of S2 errors in solving PISA content change and relationship problems are Transformation errors, and process skill errors, and final answer writing (encoding). The types of S3 errors in solving PISA content change and relationship problems are comprehension errors, transformation errors, process skill errors, and final answer writing (encoding). Based on the type of error S1 is transformation, scaffolding given is reviewing, and restructuring. And the type of process skill error, scaffolding given is reviewing, restructuring, explaining. Based on the type of error made by S2 in solving the PISA content change and relationship Problem, the scaffolding transformation error given is reviewing, and restructuring, restructuring. The type of process skill error, scaffolding given is reviewing, and restructuring. Error encoding, scaffolding given is restructuring, and reviewing, restructuring. Based on the type of errors made by S3 in solving the PISA content change and relationship problem, namely understanding errors, scaffolding given is reviewing and process skill errors, scaffolding given is reviewing, developing conceptual reviewing explaining, restructuring. Error encoding scaffolding given reviewing, restructuring, reviewing.
Proses Pemecahan Masalah Matematika High Order Thinking Skills Siswa SMA Materi Trigonometri Andayani, Tutik; Fuad, Yusuf; Rahaju, Endah Budi
EDUKASIA Jurnal Pendidikan dan Pembelajaran Vol. 5 No. 1 (2024): Edukasia: Jurnal Pendidikan dan Pembelajaran
Publisher : LP. Ma'arif Janggan Magetan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62775/edukasia.v5i1.1035

Abstract

This study aims to describe the problem solving process of students with high, medium and low mathematics abilities in solving trigonometry HOTS problems. This research is a descriptive research with a qualitative approach. The research subjects are students of class XI SMA Negeri 1 Driyorejo Gresik, consisting of 36 students who have been given TKM and TPM. Then 3 students with different categories with unique answers were selected. The instrument test was given to XI grade students of SMA Wijaya Putra Surabaya consisting of 30 students. Analysis of the instrument test using Pearson product moment and Cronbach alpha with SPSS 22.0, showed that both instruments were categorized as valid, reliable, significant easy and good differentiation. Data were collected by giving TKM, TPM and interviews. The results showed that the three students understood the problem by rereading the problem, separating the notes on the important points of the problem and identifying the conditions that link the two using the concept of triangle building; BMT and BMS students used the strategy of making drawings and reverse solving, while BMR students determined the wrong solution strategy; BMT and BMS students performed the necessary calculations or solution steps in detail, while BMR subjects had difficulty performing the necessary calculations or steps; BMT students wrote the answer correctly, then rechecked the answer, while BMS and BMR students made the wrong answer conclusion and did not recheck the suitability of the calculation of the length of the sides with the triangle conditions requested by the problem.
Analisis kreativitas siswa terhadap kemampuan siswa dalam menyelesaikan soal tipe HOTS Faizien, Muahmmad Ikmal; Fuad, Yusuf; Sofro, A’yunin
Journal Focus Action of Research Mathematic (Factor M) Vol. 6 No. 2 (2023)
Publisher : Universitas Islam Negeri (UIN) Syekh Wasil Kediri

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30762/f_m.v6i2.1365

Abstract

Penelitian ini bertujuan untuk mengetahui pengaruh kreativitas siswa terhadap kemampuan siswa dalam menyelesaikan soal tipe HOTS. Penelitian ini merupakan penelitian kuantitatif dengan jenis penelitian deskriptif. Subjek penelitan adalah siswa kelas VII sejumlah 35 siswa. Instrumen penelitian berupa tes kreativitas dan tes HOTS. Uji coba instrumen dilakukan kepada siswa yang bukan subjek penelitan. Hasil uji coba instrumen menunjukkan bahwa instrumen tes kreativitas dan tes HOTS valid dan reliabel. Data yang diperoleh dianalisis dengan menggunakan uji asumsi dan uji hipotesis. Uji asumsi terdiri dari uji normalitas dan uji linearitas. Sedangkan uji hipotesis terdiri dari analisis korelasi dan regresi linear sederhana. Hasil penelitian menunjukkan bahwa terdapat pengaruh yang signifikan antara kreativitas siswa terhadap kemampuan siswa dalam menyelesaikan soal tipe HOTS yang dijelaskan pada persamaan regresi . Besarnya pengaruh kreativitas siswa terhadap kemampuan siswa dalam menyelesaikan soal tipe HOTS dapat dilihat dari nilai koefisien determinasi yang menunjukkan angka atau . Sedangkan sisanya dipengaruhi oleh variabel lain yang tidak dijelaskan dalam model regresi ini.
Analisis Kestabilan dan Penerapan Kontrol Optimal pada Model Penyebaran Rumor Melalui Liputan Media Rusmarlina, Verent Nindi Oktaviani; Fuad, Yusuf
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 1 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n1.p35-48

Abstract

Model Dinamik SEARQ dan Penerapan Kontrol Optimal pada Permasalahan Kecanduan Media Sosial Al Addawiyah, Amartya Fierzi; Fuad, Yusuf
MATHunesa: Jurnal Ilmiah Matematika Vol. 11 No. 1 (2023)
Publisher : Universitas Negeri Surabaya

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26740/mathunesa.v11n1.p67-81

Abstract

Kecanduan media sosial atau medsos, merupakan sebuah gangguan psikologis yang mana para penggunanya banyak menghabiskan waktu untuk membuka medsos karena rasa penasaran yang tinggi, kurangnya kontrol diri, serta kurangnya kegiatan produktif di kehidupannya. Dengan mengadaptasi model dinamik SEARQ dari Alemneh & Alemu (2021), artikel ini bertujuan untuk merekonstruksi model dinamik kecanduan medsos dengan dan tanpa penerapan kontrol optimal. Pada model dinamik SEARQ terdapat sub populasi S (rentan), subpopulasi E (terpapar), subpopulasi A (kecanduan), subpopulasi R (sembuh), subpopulasi Q (keluar). Selanjutnya ditentukan titik kesetimbangan dengan dan tanpa kontrol, bilangan reproduksi dasar, analisis kestabilan titik kesetimbangan dan sensitivitas respon model dinamik, serta diberikan simulasi numerik dari respon model dinamik. Berdasarkan model dinamik dengan dan tanpa kontrol, diperoleh titik kesetimbangan bebas medsos \gamma^0=(1,9231;0;0;0;0,0769) dan titik kesetimbangan endemik medsos \gamma^*=(9,14;0;0;1,1;0) dan bilangan reproduksi dasar \Gamma_0=0,2103 yang berarti kecanduan medsos tidak terjadi wabah pandemi. Analisis kestabilan menunjukkan bahwa titik kesetimbangan bebas medsos adalah stabil asimtotik karena semua nilai eigen dari matriks Jacobiernilai riil negatif yaitu \lambda_1=-0,25, \lambda_2=-0,26, \lambda_3=-0,65, \lambda_4=-1,12226 dan \lambda_5=-0,33774, sedangkan untuk titik kesetimbangan endemik medsos adalah stabil asimtotik karena semua nilai eigen dari matriks Jacobiernilai riil negatif yaitu \lambda_1=-0,25, \lambda_2=-0,26, \lambda_3=-0,65, \lambda_4=-1,4599 dan \lambda_5=-0,0001. Dari analisis sensitivitas, diperoleh bahwa jika salah satu dari parameter \alpha, \beta, \pi, \sigma ditingkatkan nilainya, maka nilai \Gamma_0 akan meningkat. Berdasarkan hasil simulasi numerik, penerapan kontrol u_1 berupa strategi edukasi tentang efek negatif medsos kepada komunitas anak-anak, remaja hingga masyarakat umum, dan strategi pengobatan u_2 berupa penyembuhan individu yang kecanduan dengan rehabilitasi dan pembatasan penggunaan medsos, atau kombinasi strategi edukasi (u_1=0,9) dan strategi pengobatan (u_2=0,9) . Strategi terbaik adalah strategi kombinasi, yang signifikan efektif untuk mengurangi penyebaran individu kecanduan medsos. Untuk penelitian lanjutan bisa diterapkan variasi nilai parameter kontrol optimal yang berbeda pada model SEARQ atau dengan penerapan model dinamik lain. Kata kunci : Bilangan reproduksi dasar, kecanduan media sosial, kontrol optimal, model matematika, titik kesetimbangan, sensitivitas.