Since formal mathematics is discussed in terms of abstract symbols, many students face difficulties to acquire a clear understanding of mathematical concepts and ideas. Transforming abstract or dis-embodied representations of mathematical concepts and ideas into embodied representations is a strategy to make mathematics more tangible and…

Informed by decades of research and standards-based policies, there has been a growing demand for high-quality teaching and learning in mathematics and science classrooms. Achieving these ambitious goals will not be easy; students' opportunities for learning as shaped by the tasks they are assigned will matter the most. The purpose of this article…

Design thinking is a person-centered, problem-solving process that's a go-to for innovative businesses and gaining traction with school leaders interested in positive change. But understanding design thinking is one thing; actually putting it in play is something else. Authors Alyssa Gallagher and Kami Thordarson offer educators a practical guide…

Assessment is a crucial factor in the implementation of curriculum reform. Little is known, however, on how curriculum changes can be reflected adequately in assessment, particularly if the reform concerns process skills. This issue was investigated for the case of assessing mathematical thinking in a mathematics curriculum reform for…

Empirical evidence on the way in which expert designers from different domains cognitively connect their internal processes with external resources is presented in the context of an extended cognition model. The article focuses briefly on the main trends in the extended design cognition theory and in particular on recent trends in information…

This article situates the "Framework for Success in Postsecondary Writing" in current educational policy and in the discipline of rhetoric and composition. It argues the Framework positions the discipline to address gaps in American education by reinvigorating historical and traditional frames for writing instruction--ancient rhetoric and the…

The societies of the twenty-first century are subject to social, cultural, political, and economic changes. In this context, the school is asked to educate the future citizens in the present. To respond to this kaleidoscopic reality, the school is immersed in a pedagogical revolution. In this book, the reader will find a selection of avant-garde…

The role of the district superintendent as an instructional leader in systemic change is paramount to the degree and sustainability of change. Through the use of an electronic survey incorporating closed- and open-ended questions, the study examined the characteristics, habits of mind or dispositions, and leadership skills or styles used by an…

Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

For developmental education students, rates of developmental math course completion and persistence into required college-level math courses are particularly low. This literature review examines the evidence base on one potential means for improving the course completion and learning outcomes of developmental mathematics students: reforming…

In the past, if a question is asked of a student, and that student needed a few minutes to think, that student's thinking would be interrupted by somebody else who'd be shouting out. Now, teachers at St. Johnsbury School in Vermont are really focusing on think time for students and really working with other students in the classroom to be…

A proposal for curriculum reform to increase learner's abilities to solve problems" instead of a memorization of information." (Author/AA)

Explores insights that may be provided by a situated perspective on learning. Considers the ways in which a focus on the classroom community and the behaviors and practices implicit within such communities may increase understanding of students' mathematical knowledge production and use. (Contains 22 references.) (Author/ASK)

Asserts that traditional strategies of problem-solving are inadequate and that a new method is needed. Suggests four ways to redirect attention in problem solving: overcoming an instant or linear perception of time, interacting between the problem's components and its whole, searching for the meaning or sense of a problem, and studying the…

Contends that two of the most important goals of educational reform should be (1) narrowing the learning gap between high- and low-achieving pupils; and (2) developing in all children a greater capacity for higher-order thinking and problem-solving skills. (TE)