This study proposed a novel instructional approach, a two-stage LED simulation of Project-based learning (PBL) course with online peer assessment (OPA), and explored how to apply OPA to the different structured problems in a PBL course to enhance students' professional skills in LED design as well as meta-cognitive thinking. The participants of…

This paper describes research on the use of journals in a general education chemistry course for elementary education majors. In the journals, students describe their understanding of a topic, the development of that understanding, and how the topic connects to their lives. In the process, they are able to engage in reflection about several…

Word problems for English language learners (ELLs) at risk for math disabilities are challenging in terms of the constant need to develop precise math language and comprehension knowledge. As a result of this, ELLs may not only need math support but also reading and linguistic support. The purpose of this study was to assess the effectiveness of a…

Complex multistep problem exercises are one way to enhance engineering students' learning of electromagnetics (EM). This study investigates whether exposure to complex problem exercises during an introductory EM course improves students' conceptual and procedural knowledge. The performance in complex problem exercises is compared to prior success…

Thanks to technological progress the world becomes more and more complicated. People stand in front of new and difficult problems that need to be solved. These are problems, the solutions of which are not universal, and cannot be learned. Many solutions require specific data that cannot be learned, as new data is part of the ongoing generation of…

Can children genuinely create new knowledge, as opposed to merely carrying out activities that resemble those of mature scientists and innovators? The answer is yes, provided the comparison is not to works of genius but to standards that prevail in ordinary research communities. One important product of knowledge creation is concepts and tools…

The reference contexts that accompany the "realistic" problems chosen for teaching mathematical concepts in the first school grades play a major educational role. However, choosing "realistic" problems in teaching is a complex process that must take into account various pedagogical, sociological and psychological parameters.…

This paper reports a case study series of four related case study lessons, set up as a course using a Virtual Reality Learning Environment (VRLE) to support the students' ideation skills in Innovation Education (IE) in Icelandic conventional classroom. The IE course content and preparation is described. Overall aims, objectives and research…

How do mathematics teachers introduce the concepts of slope, rate of change, and steepness in their classrooms? Do students understand these concepts as interchangeable or regard them as three different ideas? In this article, the authors report the results of a study of high school Advanced Placement (AP) Calculus students who displayed…

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'…

In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulations of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In the The Xs and Whys of Algebra: Key…

This submission contains the Proceedings of the 2015 Annual Meeting of the Canadian Mathematics Education Study Group (CMESG), held at the Université de Moncton in Moncton, New Brunswick. The CMESG is a group of mathematicians and mathematics educators who meet annually to discuss mathematics education issues at all levels of learning. The aims of…

This study investigated whether instruction that involves comparing the equal sign with other relational symbols is more effective at imparting a relational interpretation of the equal sign than instruction about the equal sign alone. Third- and fourth-grade students in a comparing symbols group learned about the greater than, less than, and equal…

This paper presents research findings related to the "Dynamic Enhanced Evaluation of Problem Solving (DEEP)" (Spector & Koszalka, 2004) methodology for assessing how participants conceptualize ill-defined problems in biology using annotated concept maps. The methodology engages highly experienced (expert) and less experienced…

In the learning sciences, students' understanding of scientific concepts has often been approached in terms of "conceptual change". These studies are grounded in a cognitive or a socio-cognitive approach to students' understanding and imply a focus on the individuals' mental representations of scientific concepts and ideas. We approach students'…