The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…

Early elementary school students are expected to solve twelve distinct types of word problems. A math researcher and two teachers pose a structure for thinking about one problem type that has not been studied as closely as the other eleven. In this article, the authors share some of their discoveries with regard to the variety of…

Dutch children, from the second and fourth grade of primary school, were each given a visual lexical decision test on 210 Dutch monomorphemic words. After removing words not recognized by a majority of the younger group, (lexical) decisions were analysed by mixed-model regression methods to see whether morphological Family Size influenced decision…

This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…

This paper reports on a study to examine mental computation strategies used by Year 1, Year 2, and Year 3 students to solve addition and subtraction problems. The participants in this study were twenty five 7 to 9 year-old students identified as excellent, good and satisfactory in their mathematics performance from a school in Penang, Malaysia.…

"The Wheel of Scientific Investigation and Reasoning" (Kramer 1987; Paul and Binker 1992) is a graphic representation of the scientific investigative process. The scientific process is depicted in a wheel rather than in a list because "the process of scientific inquiry can begin from any stage, and that stage may be revisited as often as the…

This article reports on the collaborative initiative of two primary school teachers who created and implemented innovative pedagogy in order to foster a culture of thinking in their classrooms. The paper outlines teaching strategies that were used with the intent of making students mindful of themselves as learners and thinkers. A…

In this "FastFacts," a state's Department of Education requests information from the Center on Enhancing Early Learning Outcomes (CEELO) on how the research defines skills in social-emotional development, approaches to learning, and executive function, to inform planned revisions to the early childhood indicators of progress for children…

Mathematics concepts are most often taught using auditory, sequential instructional methods. Not only are these methods ineffective when used with visual-spatial learners, they may be detrimental to both academic and emotional progress. Ways in which visual-spatial learners process information are explained. One child's story is presented,…

The impetus to begin Bilingual Buds came about six years ago when the author, pregnant with twins and commuting into New York City, was reading about the numerous cognitive benefits for children of acquiring a second language early in their lives. She was surprised to learn that even by the age of six months, children begin to lose the ability to…

This article presents a lesson plan in which students learn about water in solid, liquid, and gaseous phases through trade books, demonstrations, and artwork. The author illustrates the stages of the lesson plan in the sequence they were conducted in the classroom with a group of students in grades one and two. Each stage targets specific learning…

This paper describes the use of Kid Pix-graphics software for creative activities of young children--in the context of early algebra as determined by the mathematics core curriculum of New York state. It shows how grade-two appropriate pedagogy makes it possible to bring about a qualitative change in the learning process of those commonly…

The purpose of this article is to provide teachers with examples of how to perform effective think-alouds. Twelve think-alouds are described. A rationale for their use in kindergarten through grade 5 is also included. In addition, this article was designed to provide teachers with lessons and activities to assist students in developing the ability…