Being able to find the correct answer to a math problem does not always indicate solid mathematics mastery. A student who knows how to apply the basic algorithms can correctly solve problems without understanding the relationships between numbers or why the algorithms work. The Common Core standards require that students actually understand…

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…

Debunks five misconceptions about improving creative thinking. To encourage students to think creatively, instructional techniques should reflect an integrated set of mental skills, use materials mimicking real-life situations, consider students' beliefs and tendencies toward creative thinking, show metacognitive sensibility, and foster a creative…

In one Colorado fifth grade classroom, math period begins with Mathematician's Chair, an activity allowing students to share their problems with entire class. Using this technique, students became adept at writing math problems, solving their own and peers' problems, using math-related writing as important medium of social discourse, and making…

Using play learning and real-world problem solving, an alternative Arizona program is cultivating confidence and love of learning in bilingual first-graders. Children learn by using their own language (Spanish), learning styles, and thought processes. Besides problem-solving, the "cube train" teaches estimation, number relationships,…

Demonstrates how teachers can make instruction more meaningful by linking new subject matter to students' previous experiences and by using community resources to create exciting new learning experiences. If the content is rigorous and relevant, debates, storytelling, the arts, graphic organizers, and mnemonics can dramatically enhance student…

Fifth graders at a Virginia school are applying new knowledge about world cultures by constructing artifacts for an Egyptian legacy exhibit. Exhibitions are a key facet of Museums-in-Progress (MIP), a program that links problem-solving activities with the real world. Students learn to develop, install, and interpret an exhibition by touring local…

Except for its relationship to science, mathematics is the forgotten cousin in interdisciplinary teaching and learning. In the Journeys in Mathematics project, teachers engage children in imaginative activities that inspire them to identify patterns and relationships, solve problems, and communicate accurately, using Jonathan Swift's…

A Washington State first-grade teacher and her students created the Learning-Centered Curriculum-Making Project, developing each unit over a two-week period and highlighting language and thinking skills related to various subject disciplines. They used dialog, coaching, modeling, questioning, and reinforcing techniques. Students helped select…

Dozens of Australian "laptop" schools are following the lead of Methodist Ladies' College (an independent pre-K-12 school) in personal computing and are using some of their pioneering professional development models, including in-classroom collaboration, "slumber parties," and build-a-book workshops. Guidelines for implementing…

The Applications in Biology/Chemistry (ABC) curriculum is a real-world approach designed for the middle 50% of secondary students who may not learn in a predominantly abstract way. Stressing contextual and cooperative learning, ABC features 10 laboratory exercises and other hands-on, problem-solving activities involving visits to job sites and…

In an innovative urban literacy program, K-3 students create a working community, complete with a store, newspaper, post office, museum, and economic system. Using TRALE (Technology-Rich Authentic Learning Environments), teachers create meaningful instruction through authentic, problem-based learning activities using educational technology when…

On Fridays, rather than changing classes, the students at one middle school spend all four team periods with one teacher/adviser as they pursue intensive, independent quarterly learning projects in either science, math, social studies, or English. A program evaluation showed improved student engagement, independent learning, thinking skills, and…