Meaningful learning requires deep engagement with ideas. Deep engagement is supported by the critical thinking skill of argumentation. Learning to argue represents an important way of thinking that facilitates conceptual change and is essential for problem solving. In order to appropriately apply argumentation practices to learning, we first…

This article describes how actuarial methods can supplant discrepancy models and augment problem solving and Response to Intervention (RTI) efforts by guiding the process of identifying specific learning disabilities (SLD). Actuarial methods use routinized selection and execution of formulas derived from empirically established relationships to…

Children and their families and teachers use video-sharing websites for new types of learning and information sharing. With the expansion of the World Wide Web, the ability to freely exchange pattern-based information has grown exponentially. As noted by Alexander, "pattern language development" is a process in which communities freely share…

Most teachers feel confident espousing the benefits of using picture books in English lessons, talking about the importance of using the illustrations to enhance the text, engaging students and fostering a love and appreciation of literature. How many teachers passionately advocate the use of these same picture books in mathematics lessons? This…

Helping students set up equations is one of the major goals of teaching a course in physics that contains elements of problem solving. Students must take the stories we present, interpret them, and turn them into physics; from there, they must turn that physical, idealized story into mathematics. How they do so and what problems lie along the way…

A teaching team of three teachers aims to prepare students for 21st Century Learning Outcomes, which includes critical thinking, problem solving, and communication skills. Yet classroom experience has taught them that one of the most difficult aspects of teaching young children is that they have few experiences or prior knowledge to make sense of…

The National Council of Teachers of Mathematics (NCTM) Algebra Standard states that instructional programs at the middle grades should enable students to "represent and analyze mathematical situations and structures using algebraic symbols" (2000, p. 222). Guess and check is a powerful problem-solving strategy that can connect a conceptual…

Physics teachers are most effective when their students are active learners who think and participate in every class. This extends beyond the classroom too: ideally, students would tackle challenging questions and exercises after every class--not just before the exam or the night before the weekly homework is due. Just-in-Time-Teaching was…

In this integrated inquiry, students in an elementary teaching methods class investigate a real-world problem outside the classroom. The students use the Cognitive Research Trust (CoRT) thinking strategy to find the causes of, impact of, and possible solutions to the problem. They present their findings and then discuss implementation of this…

School-based prevention programs can positively impact a range of social, emotional, and behavioral outcomes. Yet the current climate of accountability pressures schools to restrict activities that are not perceived as part of the core curriculum. Building on models from public health and prevention science, we describe an integrated approach to…

College and university educators seek to increase student engagement in learning content, skills, and applications. To achieve this goal, we used transformative teaching techniques in the design of a World Challenge: a two-week, group-based, reflective course for sophomores leading their own learning in developing creative solutions to the problem…

"The NMC Horizon Report" series is the most visible outcome of the New Media Consortium (NMC) Horizon Project, an ongoing research effort established in 2002 that identifies and describes emerging technologies likely to have a large impact on teaching, learning, research, or creative expression within every sector of education in some 65…

Critical thinking is essentially "better thinking." When students think critically they consider complex information from numerous sources and perspectives in order to make a reasonable judgment that they can justify. It has been associated with academic qualities such as decision-making, creativity, reasoning, problem-solving, debating,…

Being the "go-to" person who understands how to deal with problems and help struggling students succeed is truly something to be proud of and promote. School psychologists want administrators, teachers, and parents to view them as an invaluable resource for effective problem solving. Shining a light on the positive aspects of their work and the…

The classroom activity described here allows mathematically mature students to explore the role of mean, median and mode in a decision-making environment. While students discover the importance of choosing a measure of central tendency, their understanding of probability distributions, maximization, and prediction is reinforced through active…