Given the relevance of graphs of functions, we consider their inclusion in primary education from the functional approach to early algebra. The purpose of this article is to shed some light on the students' production and reading of graphs when they solved generalization problems from a functional thinking approach. We aim to explore how 3rd and…

This article offers an overview of the nature and role of relational thinking and relational reasoning in human learning and performance, both of which pertain to the discernment of meaningful patterns within any informational stream. Distinctions between thinking and reasoning relationally are summarized, along with specific forms of patterning…

Understanding how students learn is crucial for helping them succeed. We examined brain function in 107 undergraduate students during a task known to be challenging for many students--physics problem solving--to characterize the underlying neural mechanisms and determine how these support comprehension and proficiency. Further, we applied module…

This archival data study examined the relations between cognitive abilities and math reasoning for Hispanic English learner (EL) students in grades 1 through 5 with an identified learning disability. The 295 student participants were referred for an initial psycho-educational Spanish or English evaluation due to academic concerns by their school…

Describes classroom word games and reading activities that encourage students to think for themselves. These include word substitution drills, reassembling sentences, and spelling-related words. Notes that encouraging students to analyze, synthesize, and apply their knowledge teaches them the skills needed to succeed as independent learners. (MDM)

Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…

Many of the most talented authors and artists of the past and present have shared their thoughts and their gifts with young children through picture books. Many picture books allow young children to explore important ideas and to stretch their minds far beyond rote memorization. Young children absorb knowledge at a very rapid pace. In an age of…