The connection between prospective teachers’ procedural and conceptual knowledge with problem-posing skills of fractions

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

Prospective elementary teachers’ informal mathematical proof using GeoGebra: The case of 3D shapes

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