An essential understanding of the uses and practices of algebra remain out of reach for many students. In this book, award-winning researcher Dr. Nicole Fonger addresses the issue of how to support all learners to experience algebra as meaningful. In a highly visual approach, the book details four research-based lenses with examples from 9th-grade…

Empirical arguments rely on examples without necessarily addressing all cases. Students should be skeptical of empirical evidence and should seek more secure arguments for generalizations, such as those that explain why a generalization is true for all cases. Generalizing on the basis of patterns in data is an important mathematical practice;…

Among the 12 documents selected for this annotated bibliography of documents and journal articles in the ERIC database is an expert's argument that the brain's multipath and multimodal capacities are ignored by educators. Another writer fears that the "back-to-basics" movement may have eclipsed the prominence earlier accorded to thinking…

Presents young children's concepts related to probability grouped by definite, possible, and definitely not. Discusses the teaching methods of the probability concepts. (YP)

Well-known questioning strategies, built on question classification systems, are examined. Types of question classification systems are identified as: "hierarchical," which are sequential and cumulative; "non-hierarchical," which are based on elements which should not be rank ordered; systems which are "context-bound" to specifics; and…

Focusing on the role of language in learning, this paper discusses schemata and symbolic thinking that help students learn from unfamiliar experiences. The first part of the paper introduces the idea of symbolic thinking by comparing students encountering new ideas with convention-goers making their way around a new city. The section suggests that…

Describes the contents of a book entitled The Care and Feeding of Ideas: A Guide to Encouraging Creativity which considers the thinking process, why skills need to be developed, and how students use or should use these thinking skills. (RT)

Reviews a monograph which addresses children's higher-order thinking skills. Suggests the following for teaching problem solving: identify and develop content-independent and content-dependent problem-solving skills, connect developed skills through workshop-style activities to subject discipline, and help students identify and reconstruct their…