Conjecture and proof, as opposed to numerical calculation, are presented as being the primary focus for teaching mathematics. (MP)

Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)

Acknowledging a growing national awareness of the need for direct instruction in higher order thinking skills within public education, this paper describes an instructional model for reinforcing thinking skills in the classroom, kindergarten through grade 12. Following an introduction justifying the model's reliance on the processing of…

Recommends the use of beans as an inexpensive, durable, and readily available resource for developing science-process skills in K-8 students. Shares strategies for using beans in graphing, patterning, and classifying. (DDR)

Uses of calculators to teach the concept of exponents are described. Topics covered on activity sheets include powers of two, number systems, and powers as repeated multiplication. Cooperative learning is emphasized. (KR)

This paper presents an instructional model for thinking skills and discusses implementing the model. Based on a unitary theory of human cognition and some basic assumptions about the conditions for successfully intervening in public education, the model can be implemented at any grade level within any instructional framework. Currently used models…

Described are pentonimoe activities which nurture a nonanxious attitude toward math and science, promote an atmosphere of cooperation, support development of problem-solving skills, and provide spatial-ability skill exercises. These activities can be used by students at all educational levels. (KR)

Chess experts remember meaningful knowledge in the form of networks or patterns. Applied to mathematics instruction, effective classroom approaches can use investigation to identify patterns or rules. Described are a class activity and a small-group activity to investigate addition of signed numbers and linear relationships. (MDH)