The late-Victorian era provided aficionados of detective fiction with an abundance of short stories belonging to this literary genre. Many of these works contained some aspect of chemistry, either in the execution of a crime or in the identification of the perpetrator. In the example discussed in this article, the gas-phase reaction of hydrogen…

This paper presents guided classroom activities that showcase two classic problems in which a finite limit exists and where there is a certain charm to engage liberal arts majors. The two scenarios build solely on students' existing knowledge of number systems and harness potential misconceptions about limits and infinity to guide their thinking.…

This article summarizes research conducted on calculator block items from the 2007 fourth- and eighth-grade National Assessment of Educational Progress Main Mathematics. Calculator items from the assessment were categorized into two categories: problem-solving items and noncomputational mathematics concept items. A calculator has the potential to…

Dewey's conception of scientific explanation, which has been neglected by both philosophers of science and philosophers of education, facilitates overcoming the seeming divide between teaching a highly technical and specialized subject matter and encouraging students to successfully engage in the experience of being philosopher-scientists. By…

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…

This paper describes how the author's students (in-service and pre-service secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic…

Within the "Australian Curriculum: Mathematics" the Understanding proficiency strand states, "Students build understanding when they connect related ideas, when they represent concepts in different ways, when they identify commonalities and differences between aspects of content, when they describe their thinking mathematically and…

It was a hot summer day. Naomi and her cousin walked into the community center. She said, "Miss Jones, our moms need to work. They told us to come here and stay for couple hours." This is a common occurrence in communities with low socioeconomic status during the summertime; parents need to go to work, but children are on summer break.…

Sometimes a student's unexpected solution turns a routine classroom task into a real problem, one that the teacher cannot resolve right away. Although not knowing the answer can be uncomfortable for a teacher, these moments of uncertainty are also an opportunity to model authentic problem solving. This article describes such a moment in Zahner's…

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…