Introduction. Many previous studies are increasingly rising the issue of teacher competences, specifically on content, didactics and technology. Those competences are considered as important aspects for successful teaching process in the classroom. Therefore, this study shed lights the effects of gender, teaching experience, educational background, and school types on teachers’ mathematical, didactic, and technological competences. Material and methods. The research method is an online survey of 145 elementary school teachers in Riau province, Indonesia (March to April 2022). The questionnaire consists of 15 questions in three competences: “mathematics”, “didactics”, and “technology”. To evaluate the effect of gender, teaching experience, educational background, and the school type on teachers’ competences, the researchers used a non-parametric statistical analysis of the Mann-Whitney U test. Results. The findings reveal that there were significant differences of teaching experiences (Asymp. Sig = 0.009, p<0.01) and school types (Asymp. Sig = 0.009, p<0.01) to teachers’ technological competence, also educational background to teachers’ mathematical (Asymp. Sig = 0.035, p<0.05) and didactic competences (Asymp. Sig = 0.012, p<0.05). However, only gender has no effect to any teacher competence. Conclusion. Gender is the only factor that does not affect teacher competences. Meanwhile, other factors, teaching experience, educational background, and school type, affect at least one out of three teacher competences. Therefore, these influencing aspects need to be the attention of policy makers in preparing elementary school teachers.

<span lang="EN-US">This study examined the connections between procedural and conceptual knowledge of addition and subtraction of fractions with the problem-posing skills of prospective primary teachers. The applied method was a correlational study with structural equation modeling-partial least square (SEM-PLS) analysis. The sample in this research was 101 third-year students from a primary teacher education study program of a public university in Riau, Indonesia. The results showed that prospective primary teachers have high procedural knowledge and problem-posing skills on addition and subtraction. However, they have poor performance on problems related to conceptual knowledge of addition and subtraction of fractions. Then, the results also revealed a significant connection between procedural and conceptual knowledge with problem-posing skills on addition and subtraction of fractions of prospective primary teachers. Improving prospective primary teachers’ procedural and conceptual knowledge could raise their problem-posing skills on adding and subtracting fractions.</span>

Mathematical proofs play a paramount role in developing 21st-century skills, and the use of technology in mathematics learning has widely paved the way in the instruction of mathematical proofs. In mathematics education, GeoGebra has a significant role as a dynamic mathematics software in supporting students' learning process. This study aims to use GeoGebra in supporting prospective elementary teachers' mathematical proofs of the volume of 3-D shapes. This research used a case study method with 23 first-year prospective elementary teachers as participants from a public university in Riau, Indonesia.  The data were gathered by means of students' work recordings in the GeoGebra classroom and video recordings from their interactions in the course of small group and classroom discussions. The videos were transcribed using verbatim, and then the mathematical proofs were analyzed using praxeological analysis. The findings show that prospective elementary teachers still had challenges to connect the construction of the volume of 3-D shapes using GeoGebra to its informal mathematical proofs. However, GeoGebra provides an opportunity to learn informal mathematical proofs for prospective elementary teachers.