Hypothesizes that exploring the mathematical ideas behind mathematical terms enables children to gain insight into the structure of a number system and provides a basis for powerful playing with this structure. Describes visualizing mathematical ideas for exploring aspects of mathematics. Offers rectangular numbers to link and explore structures…

As children begin to grasp the basic functions of literacy, they become engaged in meaning-making that alternates between and/or combines oral language, written and printed symbols, drawings, and other formats. This article examines the benefits to children of an integrated approach to literacy, highlighting the Reggio Emilia approach, and offers…

This paper examines sixth-grade children's thinking related to solving ratio and proportion problems before these children had received any instruction in the domain. It explores unitizing and norming, one of the processes identified by both content analyses (Behr, Harel, Post, & Lesh, 1990); Harel, Behr, Post & Lesh, 1990) and research in…

This study was conducted to determine whether the filmic coding elements of split screen, slow motion, generated line cues, the zoom of a camera, and rotation could aid in the development of the Euclidean space concepts of horizontality and verticality, and to explore presence and development of spatial skills involving these two concepts in…

The development of and relationship between early language, symbolic play, sensorimotor skills, and social development were examined in a longitudinal study conducted in Japan with two young autistic males who were observed from the approximate ages of 2 to 4 years in clinic, day care, and home settings. One child acquired speech; the other did…

This document reports on a study into the relationships between cognitive preferences, achievement, and ethnicity of first year algebra students. The sample consisted of 175 students from two high schools in the Denver (Colorado) metropolitan area. The two schools were chosen because of the diversity of ethnic groups in the student populations.…

Sixty-six goals, mostly involving symbolic representation and cognitive processes, were evaluated to indicate those aspects of the summative research on Sesame Street that were bases for generalizing about research into the development of preschoolers. Unintended and intended outcomes were investigated as well as the program's effectiveness for…

This manual is designed to assess the background of the individual and to bring him to the stage of unlocking the symbolic codes called Reading and Mathematics. The manual begins with Introduction to a Symbolic Code (The Thinking Process and The Key to Learning Basis), and continues with Basic Reading Skills (Readiness, Visual Discrimination,…

Investigates two questions: (1) the sex-related differences in Landsat Mastery, road map reading, and map drawing among adolescents and (2) the relationship between spatial ability and mapping skills. Replicates significantly lower female performance on parts of the Landsat tasks. Concludes that spatial ability correlations with mapping are too…

Notes that almost all computer engineering textbooks present algorithms using only verbal methods. Poses that engineering students' ability to handle graphic representation is crucial yet information is presented verbally. Summarizes the results of 12 replications on learner preference for graphic or verbal algorithmic techniques. (MVL)

This study on psychological traits examines three hypotheses: (1) there is a similarity between parents and their children unexplained by a similarity between the parents, (2) this similarity may be explained by hereditary components, and (3) these hereditary components are of the discrete or segregated type of inheritance. There were 104 families…

Representational competence refers to the individual's capability to respond appropriately to external representations. For example, a child engaged in a grouping task may collect together all like objects even if the group contains varying representations of the object, including (1) the object itself, (2) a three-dimensional likeness of the…

This study tested the hypothesis that regular communication students are oriented to more symbols and their meanings than are developmental communication students and thus have more ways to receive information. One-hundred students (50 regular and 50 developmental) at Central Piedmont Community College were given the 220-item Cognitive Style…

In this research monograph, several areas of disparity between child and adult grammar are examined to discover at what ages the child, who is on the border of adult language competence, achieves a certain mastery of complex syntactic structures. Chapters include (1) a discussion of current notions on the nature of the linguistic process and a…

Presents a learning activity encouraging students to obtain a greater understanding of the relationship between symbols and the apparent dimensions of political phenomena. Students design symbols to represent objects, activities, issues, or meanings. Includes a list of student symbolic representations of law and justice issues. (MJP)