What do nonroutine algebra problems look like for a second-year algebra course, and where can such problems be found? Starting from the belief that even challenging, nonroutine problems should be solvable with the resources that students possess, Benjamin Dickman proceeded to formulate a small collection of tasks to push students into integrating…

The ties between literacy and numeracy exist in the development of vocabulary and language for understanding mathematical concepts. Research indicates that explicit instruction in mathematics vocabulary supports success with mathematics problem solving (Biemiller 2009; Pierce and Fontaine 2009; Rubenstein and Thompson 2002) for native…

Many ways exist to engage students without detracting from the mathematics. Certainly some are high-tech options, such as video games, online trivia sites, and PowerPoint® presentations that follow the same model as Jeopardy; but sometimes low-tech options can be just as powerful. One exciting way to connect with students is by incorporating…

In many scientific contexts, students need to be able to use mathematical knowledge in order to engage in scientific reasoning and problem-solving, and their understanding of scientific concepts relies heavily on their ability to understand and use mathematics in often new or unfamiliar contexts. Not only do science students need high levels of…

The Common Core's Standards for Mathematical Practice encourage teachers to develop their students' ability to reason abstractly and quantitatively by helping students make sense of quantities and their relationships within problem situations. The seventh-grade content standards include objectives pertaining to developing linear equations in…

Problem solving is a necessary component of developing a strong mathematics curriculum that will help all students achieve their life goals, regardless of their specific academic plans. What day-to-day instructional decisions do teachers need to make if they believe that problem solving is a vehicle for learning mathematical content? In this…

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…

This book features a set of problems assembled to reflect the criteria of the mathematics portion of the North Carolina High School Comprehensive Test. The problems are not necessarily suited to timed situations but rather are intended for classroom use by teachers to review high school mathematics and build upon concepts and skills developed in…

This unit is one of a series that represents specific moments in history from which students focus on the meanings of landmark events. The purpose of this unit is to study the development and significance of the universities of the Middle Ages and their ties to the university system of the 20th century. The university structure of higher education…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the second-year course, designed for 10th grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 61 lessons in this…

Discussed is whether embedding generative cognitive strategies in microcomputer courseware improves student performance on cognitive assessment measures and on insect classification tasks. The effects of transactional software on students' knowledge of insect anatomy and principles of insect classification were also investigated. (KR)

Many educators recommend the "Geometric Supposer" as exemplary software. This study compared the achievement of one high school class that used the software and a similar class that did not. The treatment class used the software once every 2 weeks throughout the school year. The SRA Achievement Test was used as a pretest and the Houghton-Mifflin…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part two of the second-year course, designed for tenth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in…

This problem-based learning unit asks students to assume roles as experts from countries that participated in World War I. These experts will meet both in expert groups and with their respective country representatives to determine what terms, in four specific areas, should be included in the treaty that will formally end the war. Next, they must…

"Connecting With Others" for grades 9 through 12 is a proactive program helps high school students learn skills in self-advocacy, communication, interpersonal behaviors, and problem solving. It includes 40 learning activities that take into consideration cultural, ethnic, and gender diversity. The activities are divided into the…