Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

This study shares two frameworks for analyzing teacher actions that support students in generalizing and examines how those frameworks align with teacher questioning. One classroom teaching episode focused on the mathematical activity of generalizing is shared to illustrate effective generalizing promoting practices. We found several patterns of…

Model-eliciting activities are problem-solving activities that differ from traditional problems as they include non-routine, open-ended, and complicated real-life situations with various solutions (Lesh & Doerr, 2003). According to Lesh, Hoover, Hole, Kelly and Post (2000), a model-eliciting activity must follow certain principles, namely, the…

Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…

In scientific arguments, claims must have meaning that extends beyond the immediate circumstances of an investigation. That is, claims must be generalised in some way. Therefore, teachers facilitating classroom argumentation must be prepared to support students' efforts to construct or criticise generalised claims. However, widely used…

The aim of this study is to investigate the effects of solution methods and question prompts on generalization and justification of non-routine problem solving for Grade 9 students. The learning activities are based on the context of the frog jumping game. In addition, related computer tools were used to support generalization and justification of…

This paper examines learning of science in 15 grade nine classrooms by analyzing the type of talk that teachers engaged in. Using transcripts from audio recordings that are part of the Singapore Corpus of Research in Education database, annotations were carried out on the phrases of teacher talk using Mortimer and Scott's framework for meaning…

This paper explored variation of strategy use in pattern generalization across different generalization types and across grade level. A test was designed to assess students' strategy use in pattern generalization tasks. The test was given to a sample of 1232 students from grades 4 to 11 from five schools in Lebanon. The findings of this study…

In spite of the fact that public schools were established to prepare students for citizenship, the alignment of teaching practice with this goal is poor. In part, this is because the knowledge base about the efficacy of curricular and pedagogical approaches in supporting specific civic outcomes is limited, as is our knowledge about the extent to…

We examined the effects of the Concrete-Representational-Abstract Integration strategy on the ability of secondary students with learning disabilities to multiply linear algebraic expressions embedded within contextualized area problems. A multiple-probe design across three participants was used. Results indicated that the integration of the…

Today's method of teaching the concept of falling bodies in French physics classes is ineffective, not only because it ignores the physical aspect of the phenomenon by addressing only its mathematical aspect, but also because it does not take into account students' initial conceptions, which are often incompatible with scientific knowledge. The…

This is a qualitative study of 22 9th graders performing generalizations on a task involving linear patterns. Our research questions were: What enables/hinders students' abilities to generalize a linear pattern? What strategies do successful students use to develop an explicit generalization? How do students make use of visual and numerical cues…