In this paper, we discuss the need for new approaches to research regarding coding to support students in developing practices in computational thinking, such as abstraction and decomposition, in multidisciplinary contexts. We explore students' activities with a tool integrating constructionist textual programming activity with game-based learning…

Educators and policy makers have increasingly recognized the importance of computational thinking (CT). Despite the growing body of CT literature, how to cultivate CT is still underexplored and undertheorized in early childhood education. Informed by Piaget's Theory of Cognitive Development, this exploratory study was conducted with a focus on…

Four answers to a probability problem involving a perceived coincidence are discussed. (MNS)

Described are results obtained by students investigating double-diagrams, including discoveries of properties and accompanying proofs. (MP)

Advocated is developing intuitive ideas of limits whenever the opportunity arises in elementary mathematics. Examples are given for geometry, fractions, sequences and series, areas, probability, graphing, and the golden section. (MNS)

Similar rectangles are the basis of a set of activities using newspaper. Topics arising include infinite series and Pythagorean theorem. (MP)

Deriving all Pythagorean triples from simple patterns within an addition table is presented, with formulas included. (MNS)

Patterns emerging when two-digit numbers in various bases are operated on by squaring and summing the digits. (SD)

Students use a series of isosceles right triangles constructed on a geoboard to discover patterns and form generalizations. (MP)

Patterns resulting from polygonal numbers are explored, with examples of triangular, square, pentagonal, rectangular, and other numbers. Tables and formulas to be developed are included. (MNS)

A mathematics unit which introduces number concepts through the use of patterns. All activities are based on the formation of patterns involving blocks or tiles of two colors. (RP)

An investigation of patterns in magic triangles leads to a number of discoveries concerning the sums of sides and corners. (MP)

Activities and problems are interspersed with commentary in this book on the learning and teaching of mathematics. The emphasis is on helping students to enjoy mathematics through an awareness of structure and patterns. The chapter titles are as follows: (1) "My Three Sons--A Game"; (2) "The Tower Game"; (3) "Mathematical Games on a Different…

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…

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)