KARAKTERISTIK MISKONSEPSI MAHASISWA PADA KONSEP HIMPUNAN DITINJAU DARI KEMAMPUANNYA DALAM MENGKONSRUKSI BUKTI MATEMATIS

Arif Hidayatul Khusna(1*), Alfiani Athma Putri Rosyadi(2),

(1) Universitas Muhammadiyah Malang
(2) Universitas Muhammadiyah Malang
(*) Corresponding Author


Abstract


Salah satu hal yang mempengaruhi mahasiswa melakukan kesalahan pada materi himpunan adalah belum mahirnya kemampuan dalam membuktikan. Tujuan dari penelitian ini adalah untuk mendiskripsikan miskonsepsi  mahasiswa pada konsep himpunan ditinjau dari kemampuannya dalam mengkonstruksi bukti. Penelitian ini merupakan penelitian deskriptif dengan pendekatan kualitatif. Instrumen yang digunakan adalah tes untuk memperoleh data miskonsepsi, dan pedoman wawancara untuk mendukung temuan miskonsepsi pada instrument tes. Hasil penelitian menunjukkan bahwa Pada kriteria general argument miskonsepsi yang tejadi adalah ketidaksesuaian penafsiran konsep himpunan kosong dengan makna konsep himpunan kosong yang sebenarnya serta ketidak akuratan konsep subset yang dipahami. Pada subjek invalid general argument mengalami miskonsepsi berupa ketidak akuratan dalam memahami konsep anggota himpunan dan subset. Miskonsepsi yang terjadi pada subjek empirical argument adalah ketidak tepatan dalam menghubungkan konsep himpunan dan himpunan kosong, ketidaktepatan dalam mendiskripsikan makna simbol himpunan kosong, dan ketidak akuratan pada konsep subset. Sedangkan pada subjek non genuine argument miskonsepsi berupa ketidak tepatan dalam menafsirkan konsep anggota himpunan serta tidak dapat menghubungkan konsep negasi implikasi pada definisi subset, dan ketidak tepatan dalam memaknai simbol himpunan kosong.


Keywords


miskonsepsi, himpunan, mengkonstruksi bukti matematis

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DOI: http://dx.doi.org/10.24127/ajpm.v10i3.3735

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