A selected bibliography of research studies and books related to mathematics and early childhood education. Studies cited pertain to the development of mathematical thought in children, teaching strategies, age-appropriate mathematical content, and assessment and evaluation of mathematical learning. Only materials published in the last five years…

Children learned two linear function rules under varying conditions: presence vs. absence of pointing; visual cues (context vs. weight vs. both pictured); and a verbal-only baseline condition. A complex rule was learned as a transfer task. Visual cues aided both learning and transfer; pointing helped initial learning, but retarded transfer.…

We examine eight cases of argumentation in relation to a proportional reasoning task--the "Paint" task--in which the "constant sum" strategy was a significant factor. Our analysis of argument follows Toulmin's (1958) approach and in the discourse we trace factors which seem to facilitate changes in argument. We find that the arguments of "constant…

Presents young children's concepts related to probability grouped by definite, possible, and definitely not. Discusses the teaching methods of the probability concepts. (YP)

This paper analyzes common practice and the difficulties children encounter and outlines an entre to mathematics learning which may make the child's task easier. (Author)

This article presents research on students' understanding of basic concepts in Graph Theory. Students' understanding is analyzed through the lens of the theoretical framework of reducing abstraction (Hazzan, 1999). As it turns out, in spite of the relative simplicity of the concepts that are introduced in the introductory part of a traditional…

This is the first of the NCTM yearbooks to be written by a single author. He traces the history of the terms "variable" and "function" and discusses the meaning of functionality. The logical and psychological bases are examined followed by a general discussion of the psychology of reasoning. Two chapters outline the history of…

THE THEME OF THIS PAPER IS THAT EVERY TEACHER IS A TEACHER OF READING WHEREVER AND WHENEVER THE SKILLS ARE NEEDED. SINCE THE READING CONSULTANT IS PRIMARILY CONCERNED WITH REMEDIATION, THE NEED FOR IMPLEMENTING READING SKILLS IN SUBJECT MATTER COURSES IS IN THE HANDS OF THE TEACHERS IN EACH OF THESE AREAS. THE TEACHING OF THE FUNDAMENTAL…

Examines the early learning experiences of great men and women mathematicians to determine whether their lives were stimulated in symbol modes that generated semiautonomous cognitive systems of acquiring, processing, and originating vast complexities of abstract mathematical concepts. (HOD)

Preservice elementary teachers' use of examples in recognizing and disproving invalid deductive arguments related to topics in elementary school mathematics was examined. Two forms of the Classroom Logic Test were developed, one multiple choice and one free response. Subjects were asked to judge the correctness of arguments and, if incorrect,…

This study sought to determine the basis for young children's understanding of fundamental addition and subtraction processes, and to expose any limitations on such arithmetic reasoning. Thirty-six two-year-olds and 36 three-year-olds participated in six experiments which examined children's relational quantity judgments about pairs of arrays in…

Experiments conducted to find ways of teaching two and three year olds mathematical concepts were found to have general implications for concept learning. The failure of an initial attempt to teach the concepts "fat" and "skinny" led to a design of instructional procedures that would utilize a concept's name while trying to teach its semantic…

Ten remedial mathematics exercises are provided for children who have failed to integrate or apply their math skills. The exercises provide remediation through systematic experimentation, rather than abstract drills, by using number-configuration distinction with blocks, fractioned candy bars, decimal match sticks, graphed pictures, etc. (JDD)

Concepts from cognitive psychology are presented as an alternative framework to arithmetic instruction for students with disabilities. The approach, which emphasizes reasoning, communication, and problem solving, is applied to addition, division, multiplication, subtraction, and word problems. The purpose of arithmetic instruction is asserted to…

The pamphlet examines the kinds of play that are useful in developing the basis for later abstract thinking--specifically the development of mathematical concepts. The mathematical concepts included are numbers, conservation, one-to-one correspondence, counting and sequencing, ordering, sorting and classification, sorting and sets, and equivalence…