Design patterns for learning are about articulating, testing and sharing the principles of problem solving in the educational context. In this way, multiple patterns are developed to solve common problems, described in various pattern language formats. Therefore, this work is about characterizing and establishing functional relationships between…

Young children's early repeating patterning abilities are important foundations for their later mathematical development. Prior studies on young children's repeating patterning abilities have been conducted exclusively in developed countries differing in economic, societal, and educational characteristics from developing countries. In this study,…

Young children have an impressive amount of mathematics knowledge, but past psychological research has focused primarily on their number knowledge. Preschoolers also spontaneously engage in a form of early algebraic thinking-patterning. In the current study, we assessed 4-year-old children's knowledge of repeating patterns on two occasions…

Previous studies using Electropalatography (EPG) have shown that individuals with speech disorders sometimes produce articulation errors that affect bilabial targets, but currently there is limited normative data available. In this study, EPG and acoustic data were recorded during complex word final sps clusters spoken by 20 normal adults. A total…

The accuracy of deaf adults' letter report was greater for real and nonsense words than for pseudowords, and error analysis shows deaf adults tend to produce orthographically regular responses. These findings indicate clearly the use of orthographic structure in word recognition. (MSE)

This study investigated the role of concurrent musical parts in pitching ability in sight-singing, concentrating on the effects of melodic and harmonic coherence. Twenty-two experienced singers sang their part twice in each of four novel chorales. The chorales contained either original or altered melody and original (tonal) or altered (atonal)…

Three theorems for Pythagorean triples are presented, with discussion of how students can amend their ideas about such numbers. (MNS)

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)