Asynchronous online discussions have the potential to facilitate meaningful learning activities, such as ill-structured problem-solving, due to their asynchronicity and connectivity. However, the literature identifies two significant challenges in effectively supporting students' ill-structured problem-solving in these environments --…

Studies have shown that learning mathematics through programming can be complex and that the programming itself might even hamper students' learning. However, few studies have focused on the role of the teacher and the teacher-student interaction that aims to support students' learning when using programming. The present study examines a didactic…

To construct dialogue-based Intelligent Tutoring Systems (ITS) with sufficient pedagogical expertise, a trendy research method is to mine large-scale data collected by existing dialogue-based ITS or generated between human tutors and students to discover effective tutoring strategies. However, most of the existing research has mainly focused on…

Question-asking is a necessary step towards formulating hypotheses, making decisions, and solving problems, and is Practice #1 in the Next Generation Science Standards. To improve question-asking, educators and researchers need a way to categorize and evaluate students' questions, so as to judge whether an intervention has been effective. We…

While the general planning advice offered to mathematics teachers seems to be to start with simple examples and build complexity progressively, the research reported in this article is a contribution to the body of literature that argues the reverse. That is, posing of appropriately complex tasks may actually prompt the use of more sophisticated…

At the heart of the National Council of Teachers of Mathematics' (NCTM) "Principles to Actions: Ensuring Mathematical Success for All" (2014) is the development of professional practices such as eliciting and using evidence of student thinking, supporting productive struggle in learning mathematics, and posing purposeful questions. In…

The researchers in this study examined the influence of questions designed with the Practical Inquiry Model (PIM), compared with the regular (playground) questions, on students' levels of cognitive presence in online discussions. Students' discussion postings were collected and categorized according to the four levels of cognitive presence:…

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…

In teaching geometry, most instructors opt for direct demonstration with detailed explanations; however, under this kind of instruction students face considerable difficulties in the development of the reasoning skills required to deal with problems of a geometric nature. This study adopted a nonequivalent pretest-postest quasi-experimental design…

Learn the 5 practices for facilitating effective inquiry-oriented classrooms: (1) Anticipating what students will do--what strategies they will use--in solving a problem; (2) Monitoring their work as they approach the problem in class; (3) Selecting students whose strategies are worth discussing in class; (4) Sequencing those students'…