This article explores historical reasoning, an important activity in history learning. Based upon an extensive review of empirical literature on students' thinking and reasoning about history, a theoretical framework of historical reasoning is proposed. The framework consists of six components: asking historical questions, using sources,…

A color-blot exercise is described as a way of getting students involved in abstract thinking by a low risk, confidence-building activity. Students are asked to combine poetry and art. (CL)

Discusses how elementary school children perceive abstract art and describes activities used to increase their appreciation of abstract art. Students draw dinosaurs and discuss the variations in their drawings. Two movement activities which reinforce concepts about abstraction are described. (AM)

Includes a dandelion poem that is designed to stimulate elementary students' creativity and abstract-thinking skills. Offers several exercises to go with the poem: creating mental pictures, drawing first images, and performing for better understanding. A reproducible for creating a dandelion-shaped poem is included. (SM)

Discusses three problems preschool teachers should consider when aiming to facilitate children's mathematical activity: (1) How may young children relate to the necessarily abstract basis of mathematics? (2) When is a child's activity mathematical? (3) How may "mathematical" language, concepts, and experiences be appropriately defined?…

Described is an exercise that will help college-level psychology students learn abstract and relational thinking skills. The exercise will provide students with a new way to handle compare-and-contrast questions. (RM)

Presents a developmental approach to teaching programing at all educational levels which stresses concepts rather than syntax; provides motivation, relevant examples, and activities; proceeds from concrete to pictorial to abstract according to age and experience of learners; and utilizes increasingly complex activities building upon and extending…

Describes the use of chess instruction to develop abstract thinking skills and problem solving among gifted students. Offers suggestions for starting school chess programs, teaching and evaluating chess skills, and measuring the success of both student-players and the program in general. (PB)

Encourages teachers to listen more carefully to what students say. Discusses two modes of reasoning in an effort to understand more deeply what students hear and the styles of reasoning that they might use in mathematics. (Contains 12 references.) (ASK)

Describes students' investigative work that resulted from playing the game Set in an attempt to show how such games can be used to develop mathematical reasoning. (ASK)

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

A curriculum model in logic is proposed for learning disabled students based on reasoning and content needs. A diagnostic test with probes yields a profile of the child's reasoning ability and pinpoints areas of strengths and weaknesses. Three levels of instruction are provided: thematic concrete, specific concrete, and abstract. (CL)

A game of noughts and crosses (tic-tac-toe) is used to motivate some mathematical activities. Several "starter" questions for activities are included. (MK)

Presents a model for teaching reasoning using technology in the contexts of algebra and geometry. (MKR)

Presents research findings and teaching implications of mathematics as reasoning and students' reasoning abilities in mathematics. (20 references) (MKR)