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Students Ways of Thinking on Geometry Resy Nirawati; Darhim Darhim; Siti Fatimah; Dadang Juandi
Didaktik Matematika Vol 9, No 1 (2022): April 2022
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v9i1.23338

Abstract

Ways of Thinking (WoT) is a fundamental ability that is part of the mental act that students must learn to solve geometry problems. The purpose of this research was to describe how WoT is used to solve geometry problems. This research used the descriptive qualitative methodology with a holistic case study design and data collection techniques such as tests, interviews, observation, documentation, and triangulation. The subjects in this research were 35 fourth-grade students from Sambas Regency Public Elementary Schools, Indonesia. The research focused on three students with varying levels of cognitive abilities: low, medium, and high.The results showed that students with high, medium, and low cognitive capabilities performed mental acts with the corresponding WoT. Students with high, medium and low cognitive capabilities were more likely to work on questions that required interpretation. Besides, it also revealed that errors committed students were learning errors, reading errors, careless errors, conceptual errors, and procedure errors. The implementation of WoT on the topic of geometry can be utilized as an alternate reference for mathematics teachers when developing teaching materials for mathematics learning to increase studentss' mathematical knowledge.
Professional Competence of Madrasah Ibtidaiyah Teachers: A Didactical Design Research Study Dwi Warli; Didi Suryadi; Siti Fatimah; Suhendra Suhendra
Jurnal Pendidikan Islam ARTICLE IN PRESS
Publisher : The Faculty of Tarbiyah and Teacher Training associated with PSPII

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Abstract

The professional competence of Madrasah Ibtidaiyah (MI) teachers in teaching ratio material is a vital factor in improving students’ understanding of mathematics, making it important to examine MI teachers’ knowledge of mathematics content. This study aims to analyze teachers’ professional skills, including their understanding of the concept of ratios, their attitudes toward preparing the learning process, such as creating teaching materials aligned with the curriculum, and their understanding of students’ characteristics and how they design learning. The results of this study provide an initial foundation for further research, which can help teachers develop learning methods through didactic studies. The subjects of this research are MI grade VI teachers in Bandung Regency, from six schools. The method used is a descriptive approach with a prospective analysis stage based on Didactical Design Research (DDR). Data collection involved teacher reflection sheets, exploratory interviews, observations, and document reviews. The findings indicate that teachers’ professional competence in knowledge of learning content and teaching methods remains at level 2, while their understanding of students’ characteristics and learning styles is at level 3. Reflection sheets and interviews reveal that teachers face difficulties beginning with defining ratios, particularly in understanding that the ratio of a to b differs from the ratio of b to a, and in solving problems involving equal proportions. Often, teachers plan their lessons with a simple sequence of materials in a journal, without considering the epistemic and systemic aspects of the content or validating their presentation and practice questions found in textbooks. MI teachers also find it challenging to select concrete teaching methods for ratios before moving to an abstract understanding, especially given the limited time. Based on these findings, there is a clear need for programs to improve teachers’ competence through didactic studies, equipping them to anticipate and address potential obstacles and enabling them to design compelling learning experiences. Since teachers’ professional competence in teaching ratios directly impacts students’ understanding of math, exploring their content knowledge is essential. This study contributes to empowering teachers through didactic design research, a necessary approach to enhancing teacher competence.