Working with language-independent logic structures can help students develop both inductive and deductive reasoning skills. The Japanese publisher Nikoli (with resources available both in print and online) produces a treasure trove of language-independent logic puzzles. The Nikoli print resources are mostly in Japanese, creating the extra…

The Common Core State Standards (CCSSI 2010) for Mathematical Practice have relevance even for those not in CCSS states because they describe the habits of mind that mathematicians--professionals as well as proficient school-age learners--use when doing mathematics. They provide a language to discuss aspects of mathematical practice that are of…

"The Most Reasonable Answer" is an innovative and comprehensive guide to engaging students in inquiry dialogue--a type of talk used in text-based classroom discussions. During inquiry dialogue, students collectively search for the most reasonable answers to big, controversial questions, and, as a result, enhance their argumentation…

This article explains four kinds of inquiry exercises, different in purpose, for teaching advanced-level high school and college students the hypothetico-deductive (H-D) method. The first uses a picture of a river system to convey the H-D method's logic. The second has teams of students use the H-D method: their teacher poses a hypothesis…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Science classes are full of abstract or challenging concepts that are easier to understand if an analogy is used to illustrate the points. Effective analogies motivate students, clarify students' thinking, help students overcome misconceptions, and give students ways to visualize abstract concepts. When they are used appropriately, analogies can…

Intended for teachers, this booklet shows how spoken language can affect student thinking and presents strategies for teaching critical thinking skills. The first section discusses the theoretical and research bases for promoting critical thinking through speech, defines critical thinking, explores critical thinking as abstract thinking, and tells…

Describes teaching students how to evaluate materials containing judgments based on a modification of a model by J. E. Sparks and C. Johnson called the pyramid of reading power. (EL)

Compares two approaches to the teaching of mathematics, rote versus reasoning. Discusses the way to teach mathematics as reasoning in elementary classroom as stated in the NCTM Standards. (YP)

A model for teaching proof writing to college mathematics students is presented. The model has six phases: (1) open (understanding the theorem by reading it, listing, and writing it out); (2) brainstorm; (3) instantiate (perception of the chain of inferences linking hypothesis to conclusion); (4) convince; (5) reflect; and (6) extend. Strategies…

Intended for teachers across grade levels and disciplines, this monograph reviews research on the development of critical thinking skills and introduces a series of these skills that can be incorporated into classroom teaching. Beginning with a definition of critical thinking, the monograph contains two main sections. The first section reviews…

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)

In the light of significant changes in contemporary society that demand high level thinking skills of professional workers, this monograph explores the nature of independent thinking and principles of teaching independent thinking, particularly to college freshmen. A section on independent thinking outlines abstract, creative, and systematic…

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…

This teaching guide provides an integrated framework for teaching thinking skills which involves both teaching thinking in a separate program or course and infusing the teaching of thinking into standard subject area instruction across the curriculum. Individual chapters deal with the following topics: (1) the nature of thinking skills and…