The COVID-19 pandemic has affected student learning; according to the National Assessment of Educational Progress (2022), scores for students in the United States have shown a decline in mathematics. . One way educators can strengthen students' current mathematical knowledge and bridge to new content is through Number Talks. Number Talks are brief…

When the author encountered the C3 Framework, she saw an opportunity to develop a different approach that she hoped would encourage all her students to reach their highest potential. The approach she created--The Deliberative Classroom--has pushed her as much as it has pushed her students. The benefits have been powerful: better academic…

A proof is a connected sequence of assertions that includes a set of accepted statements, forms of reasoning and modes of representing arguments. Assuming reasoning to be central to proving and aiming to develop knowledge about how teacher actions may promote students' mathematical reasoning, we conduct design research where whole-class…

Argumentation is one of the central practices in science learning and helps deepen students' conceptual understanding. Students should learn how to communicate ideas including procedure tests, data interpretations, and investigation outcomes in verbal and written forms through argument structure. This article presents a negotiation model to…

While high IQ is likely to be an advantage in moral reasoning, it does not guarantee students' putting those morals into practice. A clearly defined sense of purpose grounded in values of social responsibility, exploration of values, and the search for ultimate truths, both personal and collective, is paramount. The Meaning in Life program in…

Online conversations help teachers engage in constructive criticism and attend more carefully to aligning lesson plans with problem solving. This article describes a strategy for using an online discussion board to help teachers evaluate one another's lesson plans. The online peer-review activity suggests that fostering critical pedagogical…

Many middle school students claim that their voices are ignored in the classroom, where the attitude is too often that the teacher holds the one right answer. Instead of this approach, teachers may wish to use the Socratic Seminar, which prompts students to examine issues and ideas through dialogue and actively involves and motivates them, giving…

This paper describes a proportional reasoning problem set within a real-life context and a complete analysis of one small group discussion of this problem over the course of a 90-minute block. The seventh-grade students' discourse is described to provide insights into typical mathematical interpretations of this problem, as well as some…

This paper presents a rationale and a conceptual framework for a wider research project dealing with mathematical communication, and in particular with actions performed by interlocutors whenever they wish to clarify their use of a symbol, a word or an expression. The aim of such actions is often to repair a communicational breach resulting from…

A classroom teacher reflects on the benefits of professional development leading to improved and energized student writing. Although traditional professional development sparked interest and encouraged modifications, the support of a teacher inquiry group as ongoing professional development provided the impact needed to effect significant change…

This study examined two distinct moral reasoning interventions: an interindividual intervention, in which students discussed moral dilemmas, and an intraindividual intervention, in which students individually reflected on moral dilemmas. Ninety-seven 6th- and 7th-grade students were administered pre- and posttest measures of the Sociomoral…