This article presents findings from a case study that explored creative persistence through a reconceptualization of what it means to "fail" within an educational setting. Participants included in-service teachers enrolled in a semester-long graduate level educational technology course who reflected that they were able to view their…

The study sought to investigate curriculum issues, teaching and learning for sustainable development in secondary schools in Zimbabwe. Education for sustainable development (ESD) aims at changing the approach to education by integrating principles, values, practices and needs in all forms of learning. Literature has documented the importance of…

In this article, the author proposes an innovative, exam-based homework grading method to facilitate both collaboration among students and individual accountability while learning a complex theory and applying it to solve a problem. Results from this novel approach to grading a "comparative advantage theory" homework assignment, using an…

As they prepared for the 2016-2017 school year, administrators and teachers at Design Tech High School ("d.tech"), a public charter school in Northern California, decided they needed a deeper understanding of how students learn. According to Nicole Cerra, Director of Learning, "Obviously you need to get to know students…

This paper describes the learning trajectory for Early Equations and Expressions (EELT), one of the 18 learning trajectories presented at www.TurnOnCCMath.net, developed to interpret the Common Core Standards for Mathematics based on research on student learning. The EELT is foundational for introducing concepts of early algebra and setting the…

The assessment of Competency-­Based Learning (CBL) generally lacks a foundation to guide the construction of instruments that accords the nature and goals of this educational model. The measurement instruments normally used in CBL only provide a numerical score with limited information about the levels of competencies reached. This research aims…

The National Council of Teachers of Mathematics (NCTM) has called for changes in mathematics teaching from a procedural to conceptual focus since 1980, yet the way mathematics is taught in many classrooms continues to contradict the recommended practices. The pervasiveness of this challenge has led some educators to suggest changes in university…

Conceptions of learning are seen as an important factor in shaping students' patterns of learning. However, conceptions are often implicit and difficult to assess. Metaphors have been proposed as a method to assess conceptions, because metaphors are closely linked to the conceptual system. Therefore, in our study we assessed which conceptions of…

The phenomenon of wheel spinning refers to students attempting to solve problems on a particular skill, but becoming stuck due to an inability to learn the skill. Past research has found that students who do not master a skill quickly tend not to master it at all. One question is why do students wheel spin? A plausible hypothesis is that students…

Developing problem solving skills is often accepted as a desirable goal in many educational settings. However, there is little evidence to support that students are better problem solvers after graduating. The students can solve routine problems but they confronted difficulties when adapting their prior knowledge for the solution of new problems.…

This study aims to describe the constructive metacognitive activity shift of eleventh graders in solving a mathematical problem. Subjects in this study were 10 students in grade 11 of SMAN 1 Malang. They were divided into 4 groups. Three types of metacognitive activity undertaken by students when completing mathematical problem are awareness,…

Online learning from video modeling examples, in which a human model demonstrates and explains how to perform a learning task, is an effective instructional method that is increasingly used nowadays. However, model characteristics such as gender tend to differ across videos, and the model-observer similarity hypothesis suggests that such…

How important is it that every student in a school is excited about learning? Should a student be allowed to use all his/her strengths in learning? Do you know someone who wasn't a particularly good student but has been very successful in life? What these seemingly unrelated questions have in common is an appreciation for the range of talents that…

Authoring tools for Intelligent Tutoring System (ITS) have been shown to decrease the amount of time that it takes to develop an ITS. However, most of these tools currently do not extend to collaborative ITSs. In this paper, we illustrate an extension to the Cognitive Tutor Authoring Tools (CTAT) to allow for development of collaborative ITSs that…

The nature of mathematics teachers' knowledge specific to teaching mathematics [MTK] is of ongoing concern in mathematics education research. This article contributes to our under-standing of this knowledge with particular focus on reflective awareness. It discusses MTK based on ways it has been used in research. It highlights reflective awareness…