This study aimed to describe students' ability to arrange proof of abstract algebra problems (Subgroups) after receiving Information Technology (IT)-assisted scaffolding materials. To achieve this objective, we conducted exploratory qualitative research with students of Mathematics Education, Universitas PGRI Ronggolawe Tuban, participating in the…

Mathematical reasoning ability is the ability to think logically to get a conclusion. This study aims to analyzing the effectiveness of Process Oriented Guided Inquiry Learning (POGIL) with Peer Feedback towards the students' achievement of mathematical reasoning abilities. The population in this study were 7th-grade students in one junior high…

The purpose of this article is to discuss a Fulbright Evaluation Framework and to analyze findings resulting from implementation of two contextualized measures designed as LEARNING BY DOING in response to achievement expectations from the National Education Ministry in Colombia in three areas. The goal of the Fulbright funded project was to…

This article considers the place of proof, as a mathematical process, in the primary classroom. It describes the struggle the author, a primary school educator, went through with defining what proof is, what the educational goals of proof are, how these educational goals feature implicitly in the primary classroom, and what pedagogical…

This article describes how teachers address issues and tensions that students meet in learning division of fractions. First, students must make sense of division of fractions on their own by working individually and in small groups, using concrete or pictorial representations, inventing their own processes, and presenting and justifying their…

Infinity has contradictions arising from its nature. Since mind is actually adapted to finite realities attained by behaviors in space and time, when one starts to deal with real infinity, contradictions will arise. In particular, Cantorian Set Theory for it involves the notion of "equivalence of a set to one of its proper subsets,"…