Discusses the relationship between the world of mathematics and the real world through a consideration of Mitsumasa Anno's exploration of the two different yet connected worlds in five picture books. (SR)

The use of dice and dominoes in the classroom is discussed as leading from counting activities to pattern recognition and discovery learning. (MP)

Some patterns resulting from certain operations on numbers are discussed, analyzed, and explained. A method for predicting the outcome of these operations for any number is developed.

Learning activities are given for instruction in the skill of associating numbers with sets of dots, a skill intermediate between counting and higher number concepts. (MP)

Completing these worksheets leads students to discover patterns in the distribution of even numbers and numbers obtained by successive additions of 9 (primary grades). Worksheets for intermediate grades involve counting the number of factorizations for integers, and addition of the first nine whole numbers. (SD)

Describes learning activities in which fifth and sixth graders used spreadsheets to explore the shapes of numbers. Discusses creating spatial patterns with a computer draw program; examining number patterns in a spreadsheet; comparing square and rectangular numbers; and creating the multiplication times table. (AEF)

Heavy emphasis is placed on development of understanding of arithmetic in this mathematics curriculum prepared specifically for Navajo children and intended for use in reservation schools. Materials are presented so that only when a given concept is understood are skills associated with it and a written format introduced. Learning activities…