Students should be exposed to open-ended, complex design challenges during their courses to better prepare the students for the design challenges that they will encounter during their careers. This preparation may be achieved by combining flipped classroom instruction, case based learning in an active classroom, and authentic assessments. Between…

For learners, it can be difficult to imagine how to perform a complex skill based on textual information from solely a text-based analytic rubric. Rubrics lack (1) the contextual information needed to convey real-world attributes (2) the dynamic information (such as gesturing in the complex skill of presenting) (3) the procedural information…

Today, accounting graduates are expected to possess critical analysis attributes beyond good accounting discipline knowledge. The close-knit relationships among accounting theory, accounting research and accounting practice have also implied that the teaching of accounting theory needs to include the teaching of business research to produce…

Pencasts are videos of problem solving with narration by the problem solver. Pedagogically, students can create pencasts to illustrate their own problem solving to the instructor or to their peers. Pencasts have implications for teaching at multiple levels from elementary grades through university courses. In this article, we describe the use of…

This article characterizes my use of video as a tool for research, design and development. I argue that videos, while a potentially overwhelming source of data, provide the kind of large bandwidth that enables one to capture phenomena that one might otherwise miss; and that although the act of taping is in itself an act of selection, there is…

While a growing number of studies investigate the role of knowledge and interactional management of knowledge asymmetries in conversation analysis, the epistemic organization of multilingual and second language interactions is still largely unexplored. This article addresses this issue by investigating how knowledge asymmetries and changing…

In "A Framework for K-12 Science Education," the National Research Council frames inclusive science instruction as a collection of strategies for teachers to engage students. In this conceptual article, we reframe inclusive science instruction by examining the literature in science and multicultural education and describe five elements…

In an innovative, progressive school, students were asked to solve a fairly routine mathematical problem using real money in a "real-world" scenario. Even though the school values students' ideas, the reaction of the teacher to one student's alternative modelling of the problem suggests that he was expecting a particular answer to be…

Gain a new perspective on the sharing of erroneous solutions in classroom discussions. Based on their research in grades four and six, the authors reveal how student-to-student correction of errors promotes mathematical reasoning and understanding. Tips for teachers include strategies for using students' errors to encourage reasoning during…

Since the foundation of the Khan Academy (2006), a great deal of attention has been generated to the term "flipped classrooms" (also known as "reverse" or "backwards" classrooms), which is a (new) pedagogical movement that reverses the traditional paradigm of class lecture and homework. This approach subordinates…

Basic calculus skills that are prerequisites for advanced mathematical studies continue to be a problem for a significant proportion of higher education students. While there are many types of revision material that could be offered to students, in this paper we investigate whether short, narrated video recordings of mathematical explanations…

The most defining characteristic of MOOCs and other massive courses may be their scale. In their popular description, in the pedagogical and technological approach, in course operation, and in impact, the scale of the course is always foremost in mind. Beyond changes in scale, there are challenges and opportunities to adapt the new techniques in a…

We report on our analysis of data from a dataset of 26 videotapes of university students working in groups of 2 and 3 on different proving problems. Our aim is to understand the role of example generation in the proving process, focusing on deliberate changes in representation and symbol manipulation. We suggest and illustrate four aspects of…

We examined geometric calculation with number tasks used within a unit of geometry instruction in a Taiwanese classroom, identifying the source of each task used in classroom instruction and analyzing the cognitive complexity of each task with respect to 2 distinct features: diagram complexity and problem-solving complexity. We found that…

The purpose of this paper is to analyze in detail the process in which a 5th grade student learned proportion and percent using double number lines and to obtain insights into how his use of those representations supported his learning. A series of lessons were designed and conducted in a class and the whole learning process of one student was…