Understanding on Strategies of Teaching Mathematical Proof for  Undergraduate Students

Syamsuri, Syamsuri; Marethi, Indiana; Mutaqin, Anwar

doi:10.21831/cp.v37i2.19091

Cited by 6 publications

(7 citation statements)

References 21 publications

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“…Melalui gambaran aktivitas dari tiap lapisan pemahaman (acting dan expressing) serta aktivitas folding back dalam memahami suatu konsep matematika bentuk assessment for learning dapat ditemukan. Investigasi proses berpikir atau hasil dari proses berpikir diperlukan untuk dapat merefleksikan sejauh mana penguasaan pemahaman konsep siswa (Syamsuri et al, 2018). Pengetahuan yang mendalam tentang proses pemahaman siswa dapat dimanfaatkan oleh guru untuk memperbaiki metode pengajaran agar lebih efektif (Valcare et al, 2013).…”

Section: Pendahuluanunclassified

ASSESSMENT FOR LEARNING DALAM MODEL PEMAHAMAN PIRIE & KIEREN

Habibie

Turmudi

2021

jurnal. cakrawala. pendas.

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So far the learning assessment developed in elementary schools is only limited to the assessment of learning outcomes. The test instrument used only measures cognitive abilities and results in learning outcomes scores that cannot be used to measure students' abilities comprehensively. Assessment for learning is a learning assessment paradigm that can produce a comprehensive picture of students' abilities and can be used to improve the learning process on an ongoing basis. This study aims to describe the form of assessment for learning on Pirie & Kieren's understanding models in mathematics learning. This research is qualitative research using a case study approach. Data in this study were collected through direct observation of critical events, document inspection of written test results, and semi-structured interviews of research subjects. The data is analyzed qualitatively including category collection, direct interpretation, pattern formation, and naturalistic generalization. The credibility of the data in this study was verified using the data triangulation method. The results showed that the research subjects were in the formalizing layer in the learning of quadrilateral. In the image having layer research subjects experienced obstacles and folding back to the image making layer to reconstruct her understanding. Unfortunately, the formalizing layer of research subjects again experienced obstacles that resulted in it not being able to grow to the next layer. Through the use of the assessment approach for learning in the Pirie-Kieren understanding model, it can be seen that students' abilities comprehensively and the obstacles experienced during the learning process take place.

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Section: Pendahuluanunclassified

ASSESSMENT FOR LEARNING DALAM MODEL PEMAHAMAN PIRIE & KIEREN

Habibie

Turmudi

2021

jurnal. cakrawala. pendas.

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“…Mata kuliah Analisis Riil dianggap sebagian mahasiswa sebagai salah satu mata kuliah yang rumit karena di dalamnya mahasiswa perlu mengonstruksi pembuktian dari definisi, teorema atau corollary (Syamsuri et al, 2018). Untuk mengatasi kesulitan mahasiswa dalam mengonstruksi pembuktian, mahasiswa perlu benar-benar memahami konsep dan dapat mengaitkannya dengan teorema maupun konsep baru.…”

Section: Pendahuluanunclassified

Penulisan Jurnal Sebagai Alternatif Mencapai Pembelajaran Bermakna pada Mata Kuliah Analisis Riil di Masa Pandemi Covid-19

Khairunnisa

Siswiyanti

2021

jtm

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Giving assignments as an assessment in online learning during the pandemic needs to be well-considered properly so that students are not frustrated with the piling up tasks but are unable to give educators an idea of students' concepts understanding. This qualitative study aims to describe students’ responses to assignments in the form of journal writing in the Real Analysis course. The research was conducted by asking 109 students who took the Real Analysis class to write journal. At the end of the semester, students were asked to fill out a survei to find out the student's response to the task of writing a journal. Several students were then interviewed to get a more detailed information of the responses given in the survei. The results showed that 94% of the 109 students considered journal writing assignments need to be given in the Real Analysis course. As many as 99% of students agree that the feedback given by the lecturer helps students understand the material. Finally, 94% of students agree that journal-writing assignments are effective for improving understanding in the Real Analysis course. The results of the analysis of journals written by students showed that on average, more than 80% of students wrote notes related to concepts they had previously. It shows a meaningful learning process so that journal-writing assignments can be an alternative to achieve meaningful learning, especially in online learning during a pandemic.

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“…Reasoning also describes decision-making process of students' thinking skills (Erdem & Gürbüz, 2014;Gürbüz & Erdem, 2016) In mathematics learning, understanding concept builds students' knowledge, one of which is through proof so that students can learn well (Haji & Yumiati, 2019). Mathematical proof is an essential part of mathematics, especially regarding the construction of the proof (Alpi & Evans, 2019;Syamsuri et al, 2018). Most of the mathematical proof steps apply the basic rules of logic (Krantz, 2007).…”

Section: Introductionmentioning

confidence: 99%

Rigorous Mathematical Thinking: Conceptual Knowledge and Reasoning in the Case of Mathematical Proof

Firmasari

Herman²,

Firdaus³

2022

J.Kre

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This study aims to analyze in-depth students' conceptual knowledge and reasoning when solving problems using mathematical proof as a rigorous mathematical thinking paradigm. The research uses a qualitative method with a case study approach that analyzes the mathematical proof ability of nine students who represent different cognitive functions from each level of rigorous mathematical thinking. The results showed that each level of rigorous mathematical thinking meant other indicators according to their ability to master conceptual knowledge and implement mathematical ideas through reasoning. This research has an impact on the treatment that the teacher must give in determining the learning model and evaluation instrument that can raise students' conceptual knowledge and reasoning.Penelitian ini bertujuan untuk menganalisis secara mendalam pengetahuan konseptual dan penalaran siswa ketika memecahkan masalah menggunakan pembuktian matematis sebagai paradigma berpikir matematis yang ketat. Penelitian ini menggunakan metode kualitatif dengan pendekatan studi kasus yang menganalisis kemampuan pembuktian matematis sembilan siswa yang mewakili fungsi kognitif yang berbeda dari setiap tingkat pemikiran matematis yang teliti. Hasil penelitian menunjukkan bahwa setiap tingkat berpikir matematis yang teliti berarti indikator lain sesuai dengan kemampuannya untuk menguasai pengetahuan konseptual dan mengimplementasikan ide-ide matematika melalui penalaran. Penelitian ini berdampak pada perlakuan yang harus diberikan guru dalam menentukan model pembelajaran dan instrumen evaluasi yang dapat meningkatkan pengetahuan konseptual dan penalaran siswa.

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Understanding on Strategies of Teaching Mathematical Proof for Undergraduate Students

Cited by 6 publications

References 21 publications

ASSESSMENT FOR LEARNING DALAM MODEL PEMAHAMAN PIRIE & KIEREN

ASSESSMENT FOR LEARNING DALAM MODEL PEMAHAMAN PIRIE & KIEREN

Penulisan Jurnal Sebagai Alternatif Mencapai Pembelajaran Bermakna pada Mata Kuliah Analisis Riil di Masa Pandemi Covid-19

Rigorous Mathematical Thinking: Conceptual Knowledge and Reasoning in the Case of Mathematical Proof

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