Students in Appalachia have a heritage of problem-solving. We explore how computational thinking (CT) relates to and complements this heritage by analyzing 34 local ingenuity stories, and perspectives from 35 community members about the relevance of CT. We found the two problem-solving approaches are meaningfully different, but can be used in…

School pedagogies that expand opportunities for learners to build and use knowledge for meaningful purposes are resources for hope. Internationally, standards-based reforms in science education position schooling as a context for building and using disciplinary knowledge to explain phenomena and solve problems. There is also growing research…

Reform standards in mathematics education have called for classrooms that are student-centered and that incorporate problem solving and reasoning for meaningful learning. After decades of reform efforts involving multiple stakeholders, research indicates that most classrooms remain teacher-centered and procedurally focused, due to the complexity…

This quantitative study investigated the relationships among practicing elementary teachers' (N = 153) beliefs about mathematics and its teaching and learning, mathematics anxiety, and instructional practices in mathematics. When viewed singly, the findings reveal the teachers with higher levels of mathematics anxiety tend to use less…

Knowing the facts is not enough. If we want students to develop intellectually, creatively problem-solve, and grapple with complexity, the key is in "conceptual understanding." A Concept-Based curriculum recaptures students' innate curiosity about the world and provides the thrilling feeling of engaging one's mind. This updated edition…

Ensure your students develop the complex, higher-order thinking skills they need to not just survive but thrive in a 21st century world. The latest edition of this best-selling guide by James A. Bellanca, Robin J. Fogarty, and Brian M. Pete details a three-phase teaching model and dives deep into how to teach seven key student proficiencies:…

Research shows that U.S. students continue to lag behind in science and mathematics internationally (Fleischman, Hopstock, Pelczar, & Shelley, 2010; Provasnik et al., 2012). A recent study found there is a direct link between students' mastery of academic subjects and their ability to collaboratively problem solve, a critical 21st century…

This column presents ideas and techniques to enhance science teaching. In today's classrooms, teachers face numerous challenges. They are preparing students for jobs and careers that are not even conceived of yet. Assessments are being used to address students' college and career readiness and to promote critical thinking and problem solving.…

Teachers earn credentials at the beginning of their careers, but they learn new skills every day. While teachers are recognized for the time they spend in formal professional development settings, they often do not have the opportunity to demonstrate the full breadth of what they have learned, including in informal contexts. To address this,…

Decision matrices are valuable engineering tools. They allow engineers to objectively examine solution options. Decision matrices can be incorporated in K-12 classrooms to support authentic engineering instruction. In this article we provide examples of how decision matrices have been incorporated into 6th and 7th grade classrooms as part of an…

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) emphasize the Standards for Mathematical Practice (SMP) that describe processes and proficiencies included in the NCTM Process Standards (NCTM 2000) and in the Strands for Mathematical Proficiency (NRC 2001). The development of these mathematical practices should happen in…

Common situations, like planning air travel, can become grist for mathematical modeling and can promote the mathematical ideas of variables, formulas, algebraic expressions, functions, and statistics. The purpose of this article is to illustrate how the mathematical modeling that is present in everyday situations can be naturally embedded in…

The implementation of the Common Core's Standards for Mathematical Practice can pose a challenge to all teachers of mathematics but especially to preservice teachers. These standards require teaching in a way that often differs from what preservice teachers have experienced as learners. Standard 1--"Make sense of problems and persevere in…

Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…

Persevering in problem solving and constructing and critiquing mathematical arguments are some of the mathematical practices included in the Common Core State Standards for Mathematics (CCSSI 2010). To solve unfamiliar problems, students must make sense of the situation and apply current knowledge. Teachers can present such opportunities by…