Mathematical Proof Construction: Students’ Ability in Higher Education

Nadlifah, Minatun; Prabawanto, Sufyani

doi:10.1088/1742-6596/895/1/012094

Cited by 8 publications

(2 citation statements)

References 8 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Efforts to continue learning can help students to understand the mathematical concepts needed for proof. By learning these concepts in depth, students will have a strong foundation to start the proof (Nadlifah & Prabawanto, 2017). Continuous learning efforts can also help students to develop the logical and deductive thinking skills needed for mathematical proofs.…”

Section: Discussionmentioning

confidence: 99%

Proving geometry theorems: Student prospective teachers’ perseverance and mathematical reasoning

Aisyah,

Susanti,

Meryansumayeka

et al. 2023

View full text Add to dashboard Cite

Proof of geometry is a topic that involves mathematical reasoning abilities and relates to perseverance involving hard work, the spirit of achievement, and self-confidence. The current important problem that occurs at this time is that students who are future teachers of mathematics still experience difficulties in compiling proofs, especially those who are not challenged to work hard. This qualitative research explores mathematics teacher candidates' reasoning abilities and perseverance in proving geometric theorems. Therefore, the research design used a case study. There were three participants in this study, and they were student prospective mathematics teachers' s taking geometry courses. Data were collected through working documents, open questionnaires, and semi-structured interviews and were analyzed using iterative techniques consisting of data condensation, data exposure, and verification. The study's results showed that students' prospective teachers did not prioritize proof in solving geometry problems, even though they worked hard to solve the problems independently until they were finished. The students' perseverance also impacts their mathematical reasoning in proving geometric theorems. Students with more hard work values tend to have more reasoning values. The results of this study have implications that there needs to be an effort from the teacher to get used to giving proof questions to support students' perseverance and mathematical reasoning abilities.

show abstract

Section: Discussionmentioning

confidence: 99%

Proving geometry theorems: Student prospective teachers’ perseverance and mathematical reasoning

Aisyah,

Susanti,

Meryansumayeka

et al. 2023

View full text Add to dashboard Cite

show abstract

“…2503-0671 e-ISSN. 2548-5547 inilah yang harus dimiliki oleh mahasiswa pendidikan matematika, artinya proses berpikir dalam menganalisis pembuktian perlu dilakukan oleh mahasiswa untuk membangun fakta dalam matematika dengan pasti dan menunjukkan kebenaran dari fakta tersebut (Hanna, 2000;Knuth, 2002;Ko & Knuth, 2009;Nadlifah & Prabawanto, 2017;Syafri, 2019). Adapun tujuan dari pembuktian dalam matematika adalah untuk meningkatkan kemampuan mahasiswa dalam memahami matematika, membangun matematika serta untuk berkomunikasi dengan matematika.…”

Section: Pendahuluanunclassified

Pengaruh Strategi Flow Proof pada Perkuliahan Struktur Aljabar terhadap Kemampuan Mahasiswa dalam Menganalisis Pembuktian

Scristia

Yusup

Hiltrimartin

2021

Jurnal Pendidikan Matematika dan Sains Matematika

View full text Add to dashboard Cite

Struktur Aljabar mempelajari gabungan satu atau lebih himpunan dengan satu atau lebih operasi biner yang memenuhi kumpulan aksioma. Calon guru semester lima yang menjadi subjek dalam penelitian ini harus memiliki definisi dan aksioma untuk melakukan proses analisis pendahuluan terhadap teorema-teorema untuk dibuktikan. Kesulitan mahasiswa dalam menyusun bukti pada materi Struktur Aljabar adalah menelaah pembuktian, dan melihat hubungan antara definisi dan teorema yang ada. Solusi yang diberikan berdasarkan karakteristik masalah dalam struktur aljabar adalah dengan menggunakan strategi flow proof dalam penyusunan analisis pendahuluan. Dengan menggunakan desain Quasy Experiment type One group pretest-postest design, hasil penelitian menunjukkan bahwa terdapat pengaruh strategi flow proof terhadap kemampuan analisis pendahuluan mahasiswa calon guru.

show abstract