While a body of research exists on individual metacognition, research on reflective communities is just beginning. This study generated a framework for conceptualizing metacognition in groups by describing likely components of group metacognition. I focused on a group of five preservice science teachers engaged in problem-based learning (PBL). The…

Design thinking is about using design to improve the human experience. It combines collaboration, systems thinking, and a balance of creative and analytical habits. It also fuels what the students want for themselves: making an impact on the real world in real time and having adults take their passions seriously. The process essentially comes down…

This paper presents the results of a study that aimed at increasing students' problem-solving skills. Polya's (1985) heuristic for problem solving was used and students were required to articulate their thought processes through the use of a structured diary. The diary prompted students to answer questions designed to engage them in the phases of…

The ability to count has traditionally been considered an important milestone in children's development of number sense. However, using counting (e.g., counting on, counting all) strategies to solve addition problems is not the best way for children to achieve their full mathematical potential and to prepare them to develop more complex and…

The golden ratio, one of the most beautiful numbers in all of mathematics, arises in some surprising places. At first glance, we might expect that a General checking his troops' progress would be nothing more than a basic distance-rate-time problem. However, further exploration reveals a multi-faceted problem, one in which the ratio of rates…

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…

This article presents the authors' response to Asha K. Jitendra's Response to Xin and Zhang ("The Journal of Educational Research," 2009, Vol. 102, No. 6). The claim of "factual errors, including inappropriate quotes, misrepresentation of information, and inadequate scholarship in Xin and Zhang's text" are not justified. In this rejoinder, the…

Solving word problems is a difficult task for students at-risk for or with learning disabilities (LD). One instructional approach that has emerged as a valid method for helping students at-risk for or with LD to become more proficient at word-problem solving is using schemas. A schema is a framework for solving a problem. With a schema, students…

People often make choices that go against their own best interests. In the controversial bestseller "Nudge," Richard Thaler and Cass Sunstein argue that people can benefit from simple "nudges" to improve their decision-making. In an upper-level undergraduate course on political decision-making, I created a series of assignments around "Nudge." In…

Project-based learning is a research-based instructional tool that has proven to be effective in all secondary curricular disciplines, particularly in the areas of science, technology, engineering, and mathematics (STEM). A project is an applied activity, often hands-on, where the students are challenged to successfully address a problem. In many…

For the most part, students entering social work programs want to serve poor and oppressed populations. They see themselves as well-meaning and politically liberal, and view racism, sexism, and heterosexism as intolerable. They are highly offended by assertions that they may suffer from these "isms." However, to ready social work…

Learning to teach is a complex matter, and many different models of pre-service teacher education have been used to support novice teachers' preparation for the classroom. More recently there have been calls for a focus on core high-leverage teaching practices and for novice teachers to engage in representations, decompositions, and approximations…

The present study investigated the underlying reasons for difficulties faced by students when they applied the concept of inertia across varying contexts. The participants of the study included five high school students. Data obtained from interviews were interpreted from the perspectives of the coordination class and epistemological framing…

This study was designed to investigate the Effect of Polya Problem-Solving Model on Senior School Students' Performance in Current Electricity. It was a quasi experimental study of non- randomized, non equivalent pre-test post-test control group design. Three research questions were answered and corresponding three research hypotheses were tested…

After many years of extremely low success rates, a radical new design of the first semester arithmetic remedial course was implemented and studied. Students at a large urban community college could take a traditional semester-long traditional lecture-based remedial arithmetic course or a new accelerated 4-week 20-hour problem-solving based…