Exploration of pre-service teachers’ pedagogical content knowledge in mathematics learning in senior high school based on gender and academic skills

Abstract

In Indonesia, pre-service mathematics teacher education is strictly supervised so that Pedagogical Content Knowledge (PCK) becomes an important aspect to build the quality of learning. This study aimed to explore pre-service mathematics teachers' PCK based on gender and academic skills. To obtain rich and in-depth data, a qualitative approach was used. A total of 70 subjects aged between 19-21 years old participated in this study. There were two subjects selected based on their academic skills and gender. Using a grounded theory approach, we conducted a preliminary analysis, open coding, axial coding to obtain the three PCK components, namely Knowledge of Subject Matter (KSM), Knowledge of Pedagogy (KP), and Knowledge of Student (KS). Research findings revealed that the pre-service teachers' pedagogical content knowledge in terms of knowledge of subject matter was categorized as good in mathematics learning. As for their knowledge of pedagogy, the male subjects presented the concepts by employing the expository strategy, the female subjects with high skills used the guided discovery, and the female subjects with average skill also employed the strategy of expository. In the aspect of knowledge of students, the subjects with average skills overcame students' misconception by explaining the procedures and using the strategy of asking, but the subjects with high academic skills did not only implement the two previous strategies but also used their reasoning behind every procedure of problem-solving that they carried out. These findings can be used as recommendations for the development of mathematics learning.

Exploring Students Reversible Reasoning when Sketching an Original Graph Involving Derivatives Concept

“…The interpretation, dominated by the assimilation process, causes students to involve direct thinking processes to solve problems (Ikram, Purwanto, Nengah Parta, et al, 2020;Ikram, et al, 2020cIkram, et al, , 2020aIkram, et al, , 2020bMa'rufi et al, 2020;Rahayuningsih et al, 2021). In that sense, students involve an integration process to obtain a graph 𝑓.…”

Kompetensi Guru dalam Pengajaran Konsep Matematik: Kajian Literatur Bersistematik

“…Kaiser et al, 2019;Refugio et al, 2020;Yang et al, 2018Yang et al, , 2021Trung Tran et al, 2020;Huda & Pardimin, 2018;Kuzu & Arican, 2020;Maire et al, 2021, Weiland et al, 2019Stephen Norton, 2019;Matiash et al, 2020;Christiansen & Erixon, 2021;Blomeke et al, 2020;Caroline et al, 2019;Davrajoo & Letchumanan, 2019;Schiepe-Tiska, 2019;Retnawati et al, 2018;Jehana M. Darkis, 2020;Baier et al 2019;Kusumawati et al, 2020). Selain itu, terdapat 16 kajian melibatkan analisis kualitatif (Chen et al, 2021;Alsina & Mula, 2019;Choy & Dindyal, 2018;Gómez-Blancarte et al, 2019;Larrain & Kaiser, 2019;Tupas, 2019;Mesut Ozturk, 2021;Beswick & Fraser, 2019;Ramos Rodriques et al, 2021;Depaepe et al, 2020;Marufi et al, 2020;Kim How et al, 2021;Grace et al, 2020;Sadykova et al, 2021;Jita et al, 2019), dan selebihnya terdapat 2 yang melibatkan kaedah campuran (Mamsi & Herbert, 2020;Aguirre et al, 2021) bagi memastikan ianya munasabah, tepat dan berguna.…”

“…Berdasarkan 42 artikel yang telah dipilih, kesemuanya telah menyatakan bahawa faktor pedagogi merupakan antara faktor yang mempengaruhi kepada kompetensi guru. Faktor Terdapat 23 sekolah menengah yang telah membuat kajian berdasarkan kompetensi pedagogi (Chen et al, 2021;Itgel Miyejav, 2018;Choy & Dindyal, 2018;Neto et al, 2020;Podkhodova et al, 2020;Aguirre et al, 2021;Refugio et al, 2019;Beswick & Fraser, 2019;Marufi et al, 2020;Yang et al, 2021;Kim How et al, 2021;Grace et al, 2020;Huda & Pardimim, 2018;Kuzu & Arican, 2020;Stephen Norton, 2019;Sadykova, et al, 2021;Blomeke et al, 2020;Caroline et al, 2019;Davrajoo & Letchumanan, 2019;Schiepe-Tiska, 2019;Jita et al, 2019;Retnawati et al, 2018;Baier et al, 2019). Bagi peringkat sekolah rendah, hanya terdapat 4 kajian sahaja yang dijalankan iaitu dari Belanda (Oonk et al, 2020), Afrika Selatan (Mamsi & Herbert, 2020) dan Filipina (Refugio et al, 2020;Jehana M. Darkis, 2020).…”