Let us suppose that schools are, or might strive to become, places in which educators work collaboratively with parents and the wider community to recognize, nurture, and celebrate the strengths and talents in all people (cf., McCluskey, Treffinger, & Baker, 1995). Based on such a vision for education, this article describes a practical model…

Problem-based learning (PBL) creates opportunities for authentic learning in teacher preparation programs. In addition to developing content knowledge and pedagogy, problem-based learning affords students the framework for a holistic, collaborative approach to solving several interconnected problems. As students move through the process of…

Whenever Mr. Henderson's 3rd grade students had a question that he couldn't immediately answer or that seemed off-topic, he asked them to write the question on a sticky note and place it on a poster dubbed the "Parking Lot." His intention was to find time later to answer those questions, but too often, he said, the parking lot…

Treatment programs for serious offenders such as sex offenders typically include an empathy training component as part of a comprehensive intervention package. The reasons for doing so are partly based on research evidence indicating that social disconnection and relationship ruptures related to empathy failures often trigger offending, and also…

This article examines the attitudes of some precalculus students to solve trigonometric and logarithmic equations and systems using the concepts of elementary algebra. With the goal of enticing the students to search for and use connections among mathematical topics, they are asked to solve equations or systems specifically designed to allow…

High failure rates in introductory large lecture chemistry courses for STEM majors have been of concern for years. Through our weekly Team Approach to Successful Learning (TASL) workshops, students learn and apply problem-solving strategies, coached by specially trained peer learning coaches (LCs). These coaches concurrently enroll in Chemistry…

How can teachers engage students in learning essential mathematics? The National Council of Teachers of Mathematics recommends using "contexts that promote problem solving, reasoning, communication, making connections, and designing and analyzing representations" (NCTM 2006, p. 11). Understanding the Process Standards (NCTM 2000) enables teachers…

Innovation is central to modern industry. It can and should be taught in schools. Not only does providing students a background in innovation benefit them later in life and industry, but it also promotes and further develops their critical thinking and collaboration skills. Despite the need for innovation, many have struggled with how to teach it.…

In this article, the author applies Makiguchi Tsunesaburo's (1871-1944) perspectives to language policy and planning (LPP). One theoretical question in LPP theory is why individuals opt to use particular languages and varieties of languages in certain contexts. The author contends that Makiguchi's theory of value can be used to systematically…

The article describes the solution of a geometric problem and how this problem was formed. During the investigation process, I discovered that the inscribed parabola in a triangle, known as the parabola of Artzt, a mathematical subject developed almost 120 years ago, was the decisive idea which directed me towards the solution. Moreover, in the…

Analysis of integer structure and right-end-digits can illustrate why 3 and 5 are features of primitive Pythagorean triples. The results also utilize the triangular and pentagonal numbers. (Contains 5 tables.)

This paper describes a pedagogical framework that teachers can use to support students who are engaged in solving open-ended problems, by explaining how two Japanese expert teachers successfully apply open-ended problems in their mathematics class. The Open-Ended Approach (OPA) framework consists of two main sections: Understanding Mathematical…

Linear functions are an important part of the middle school mathematics curriculum. Students in the middle grades gain fluency by working with linear functions in a variety of representations (NCTM 2001). Presented in this article is an activity that was used with five eighth-grade classes at three different schools. The activity contains 15 cards…

Background: Institutions of higher education, specifically schools of education, should play a pivotal role in supporting educators' development of data literacy for teaching. While novice teachers are often prepared to use test-based assessment data, they learn these experiences in isolated courses that do not connect to instruction or school…

Digital games have become popular for engaging students in a range of learning goals, both in the classroom and the after-school space. In this article, I discuss a specific genre of video game, the massively multiplayer online role-playing game (MMO), which has been identified as a dynamic environment for encountering 21st-century workplace…