We discuss mathematical tasks used in a first mathematics content course for elementary teachers at our university to foster a deep conceptual understanding of early arithmetic, including basic concepts of number, number relationships and strategies, and coordinating units of different rank. Our approach is to immerse our students in a base 8…

This primary goal of this study was to investigate the effects of strategy training and self-reflection, two subprocesses of Zimmerman's cyclical model of self-regulation, on fifth grade students' mathematics performance, self-efficacy, self-evaluation, and calibration measures of self-efficacy bias, self-efficacy accuracy, self-evaluation bias,…

The present study focused on two main goals. One was to test the "representational mapping hypothesis": The greater the transparency of the mapping between physical materials and desired internal representations, the greater the learning of the desired internal representation. The implication of the representational mapping hypothesis in the…

More than 10 percent of the students in our nation's public schools are English language learners, and this number grows each year. Many of these students are falling behind in math. "Supporting English Language Learners in Math Class, Grades 3-5" outlines the challenges ELL students face when learning math and provides a wealth of specific…

The project Adult Dyslexia and Attention Deficit Disorder in Finland (Project DyAdd) compares adults (n = 119, 18-55 years) with dyslexia, attention-deficit/hyperactivity disorder (ADHD), dyslexia together with ADHD (comorbid), and healthy controls with neuropsychological, psychophysical, and biological methods. The focus of this article is on the…

Schools that give students access to STEM (science, technology, engineering and mathematics) studies are accomplishing several objectives: introducing students to higher-level academic and career studies, expanding project-based learning in the curriculum, enticing students to remain in school until graduation, and preparing students for…

The purpose of this paper is to offer three alternatives to patterns or visualization used to justify division of fraction "algorithm" invert and multiply". The three main approaches are historical, similar denominators and algebraic, that teachers could use to justify the standard algorithm of division of fraction. The historical approach uses…

This textbook is an arithmetic exercise book. It is the first in a series of five volumes and contains 45 exercises with problems to solve.

This textbook is an arithmetic exercise book. It is the second in a series of five volumes and contains 49 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book I," see ED623160.]

This textbook is an arithmetic exercise book. It is the third in a series of five volumes and contains 48 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book II," see ED623161.]

This textbook is an arithmetic exercise book. It is the fourth in a series of five volumes and contains 59 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book III," see ED623162.]

This textbook is an arithmetic exercise book. It is the fifth in a series of five volumes and contains 69 exercises with problems to solve. [For "Chambers's Practical Concentric Arithmetics: Book IV," see ED623163.]

The impact of training nine first- and second-grade children to use a self-instruction regimen (overt verbalization of self-instructions) and/or an accuracy regimen was investigated. Children improved dramatically in academic accuracy subsequent to self-instructional training regardless of whether accuracy or self-instruction use were reinforced.…