Undergraduate students are expected to produce and comprehend constructive existence proofs; yet, these proofs are notoriously difficult for students. This study investigates students' thinking about these proofs by asking students to validate two arguments for the existence of a mathematical object. The first argument featured a common structural…

The authors developed an instructional nudges as part of a larger research project. These instructional nudges are designed to be small but powerful changes to teachers' existing practices. Some instructional nudges focus on modifying tasks used in classrooms. In this article, the authors share Rate and Review. The goal of Rate and Review is to…

This study illustrates how two secondary mathematics teachers used students' incorrect answers as they supported students' engagement in collective argumentation. Three ways of supporting argumentation when students contributed incorrect answers are exemplified, and the structures of these arguments are investigated. Then, by focusing on the…

Teaching students to use critical thinking skills is a popular goal of many economics courses. But what does "critical thinking" really mean, and how is it implemented? This article considers various interpretations of "critical thinking" and distinguishes "big-think" from "little-think" critical thinking,…

This study aims to examine the challenges that face EFL teachers in applying negotiation for meaning pedagogy in teaching writing skill. To collect qualitative data, classroom observation and semi-structured interviews were employed as data collection methods whereas for analyzing the data, a thematic analysis technique was used. The findings of…

This study is a follow-up study of the continuation task, aiming to investigate the long-term alignment effects of the comparative continuation on L2 writing performance. The research lasted for a period of 16 weeks and employed a pretest-treatment-posttest research design. Two comparable groups of fifty-five Chinese undergraduate EFL learners…

This article presents a corpus-based investigation on English prepositions of time presented in the argumentative essays of Form 4 and Form 5 Malaysian secondary students in the MCSAW corpus. The aims were to find out the distribution patterns and the common errors in the use of preposition of time, "on" and "at". This corpus…

This research describes a method applied at a U.S. university in a third-year Russian language course designed to facilitate Advanced and Superior second language writing proficiency through the forum of argumentation and debate. Participants had extensive informal language experience living in a Russian-speaking country but comparatively little…

Often, students repeat the mistakes they have made in answering exam questions, even after classroom discussion of their errors. They do not appear to have "learned from their mistakes". One possible solution is to guide students through a more active process of addressing their mistakes. We will describe a classroom study focused on the…

This document contains the fifth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Sac and Zaz:…

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided.…