Thoughtful implementation of the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) presents an opportunity for increased emphasis on the development of mathematical understanding among students. Granted, ascertaining the mathematical understanding of an individual student is highly complex work and often exceedingly difficult.…

Teachers typically teach subjects separately, but integrated science, technology, engineering, and mathematics (STEM) curriculums that focus on real-world practices are gaining momentum (NAE and NRC 2009). Before release of the "Next Generation of Science Standards" ("NGSS") (NGSS Lead States 2013), 36 states already had a…

The availability of sophisticated computer programs such as "Wolfram Alpha" has made many problems found in the secondary mathematics curriculum somewhat obsolete for they can be easily solved by the software. Against this background, an interplay between the power of a modern tool of technology and educational constraints it presents is…

As young adolescents, middle grades students experience a wide variety of changes related to their cognitive capabilities, social and emotional well-being, and use of self-regulation strategies. Authentic performance tasks challenge students to apply their knowledge and skills to realistic problems to create products or performances--consistent…

Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…

There have been many significant changes in education over the last fifty years, but few have been as swift and all-encompassing as the Common Core State Standards (CCSS). Discussed and debated everywhere, and now implemented in many states, the CCSS initiative set out to transform our nation's K-12 educational system by providing clear…

As teachers strive to make sense of and implement knowledge of creativity that is available from the research community, school librarians are called upon to help turn rhetoric into reality. Developing the creativity habit is far more meaningful and effective if the classroom activity is representative of the real-world problem-solving process.…

How can the key concept of equivalent expressions be addressed so that students strengthen their representational fluency with symbols, graphs, and numbers? How can research inform the synergistic use of both paper-and-pencil analysis and computer algebra systems (CAS) in a classroom learning environment? These and other related questions have…

Over the past 15 months, the Virginia Board of Education has been redesigning its public school students' high school educational experience to better prepare them to participate in the global economy. To lay the groundwork for this redesign, the Profile of a Graduate was developed. The profile in turn grew out of a broader review of Virginia's…

If students are going to develop reasoning and thinking skills, use their mathematical knowledge, and recognize the relevance of mathematics in their lives, they need to experience mathematics in meaningful ways. Only then will their mathematical skills be transferrable to all other parts of their lives. To promote such flexible mathematical…

With the increased availability of modern technology and handheld probeware for classrooms, the iPad and the Video Physics application developed by Vernier are used to capture and analyze the motion of an ice hockey puck within secondary-level physics education. Students collect, analyze, and generate digital modes of representation of physics…

As educators we are facing an unprecedented challenge to prepare our students not only for traditional careers but also for future careers that don't exist today. Many of these careers will require a firm grounding in disciplines such as physics, along with multidisciplinary, Global, and systems thinking skill sets. Our Multidisciplinary…

In this article, Eliza Pitri states, "when allowed to make and explain their own choices, students develop invaluable creative problem-solving skills." Opportunities for such critical thinking abound in the art classroom. The importance of identifying how skills and dispositions related to creative problem solving are expressed in a…

Engineers commonly use rules, theories and models that lack scientific justification. Examples include rules of thumb based on experience, but also models based on obsolete science or folk theories. Centrifugal forces, heat and cold as substances, and sucking vacuum all belong to the latter group. These models contradict scientific knowledge, but…

From the early elementary grades through high school, the Common Core State Standards ask students to organize and explain their ideas in oral presentations, use visual aids, and speak appropriately for various contexts and tasks. Although teachers could give assignments that teach some of these skills in isolation, the authors have found that…