This paper addresses the desideratum identified by Törner (2018), that researchers' beliefs are rarely addressed in the research literature dealing with beliefs. For this purpose, firstly a suitable theoretical framework is outlined that links the concept of belief with the research perspectives of researchers. Secondly, examples are given of how…

This paper presents a collaborative research project developed by a researcher in mathematics education and a grade 3 Inuit teacher from Northern Quebec. Four learning situations were created, but discrepancies occurred between what was planned and agreed upon by both collaborators, and what was enacted during the project. We studied these…

This paper focusses on how researching is done through reflections about, or at a meta-level to, the practice over time of an enactivist mathematics education researcher. How are the key concepts of enactivist theory ("ZDM Mathematics Education," doi: 10.1007/s11858-014-0634-7, 2015) applied? This paper begins by giving an…

This study examines how mathematics teaching research specialists mentor practicing teachers during post-lesson debriefs of a lesson study in China. Based on a systematic, fine-grained analysis of 107 h of videotaped mentoring meetings of 20 groups of teachers and teaching research specialists from different elementary schools, this study reveals…

Mathematics teachers face a myriad of instructional obstacles. Since the early 1990s, mathematics education researchers have proposed the use of constructivist practices to counteract these ever-prevalent obstacles. While we do give credit to the choices of instructional activities the constructivist paradigm promotes, there are problems with its…

Contemporary teachers need instructional practices that are (a) powerful enough to meet the needs of a rapidly diversifying student population, (b) feasible to implement on a classwide basis, and (c) socially acceptable to them and their pupils. Classwide peer tutoring (CWPT) is one such instructional practice. In addition to describing CWPT, its…

Practicing teachers' perspectives on a set of mathematics education research reports are described. Data were gathered through email messages, group discussions, and questionnaires. Teachers identified positive influences of research on practice aligned with some of the strands of proficient mathematics teaching identified by Kilpatrick, Swafford,…

This article describes both the process and products of a cooperative inquiry project between two educational researchers--one from literacy education and one from mathematics education. The collaboration took place in an undergraduate, inquiry-based mathematics classroom in which the researchers sought to develop a shared vision of learning and…

The Aplusix system has been designed for helping students to learn algebra. Its capacity to tell the students whether their calculations are correct or not, to provide families of exercises of a chosen level, and to give scores after tests allows this system to be used in the regular functioning of the class. Its capacity to record the students'…

A miniconference (consisting of four 60-minute sessions) was organized to contribute to the exploration of frames, forms, and contents of systematic cooperation and interaction between the researcher and teacher in the classroom. These proceedings of the conference include descriptions of the organization, purpose, and background of the…