This article describes how sixth-grade students developed concrete models to solve division of fractions story problems. Students developed separate two-step procedures to solve measurement and partitive problems, drawing on invented procedures for division of whole numbers. Errors also tended to be specific to the type of division problem…

This study investigated middle school students' conceptual understanding of algebraic equations. Participants in the study--257 sixth- and seventh-grade students--were asked to solve one set of algebraic equations and to generate story problems corresponding with another set of equations. Structural aspects of the equations, including the number…

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 present study evaluated the effectiveness of an instructional intervention (schema-based instruction, SBI) that was designed to meet the diverse needs of middle school students by addressing the research literatures from both special education and mathematics education. Specifically, SBI emphasizes the role of the mathematical structure of…

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.]

This report focuses on strategies teachers can use to help students struggling with math. A critical instructional component is to make sure they understand a skill or concept before being asked to practice it. Adapting instruction to a variety of learning styles can be useful, as is encouraging students to "think aloud" about how they approach…

The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The modules also introduce students to real world math concepts and problems that property and casualty actuaries come across in their work. They are designed to be used by teachers and…

This proceedings volume of InCoTEPD 2018 covers many ideas for handling a wide variety of challenging issues in the field of education. The outstanding ideas dealing with these issues result in innovation of the system. There are many innovation strategies resulting from recent research that are discussed in this book. These strategies will become…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

Finding ways to help primary-grade students overcome difficulties in solving mathematical word problems can be a daunting task for teachers in a regular classroom setting. Student challenges may include: (1) difficulty with vocabulary; (2) lack of confidence when solving problems; (3) confusion on the proper operation to use when solving a…

Studies report that students often fail to consider familiar aspects of reality in solving mathematical word problems. This study explored how different features of mathematical problems influence the way that undergraduate students employ realistic considerations in mathematical problem solving. Incorporating familiar contents in the word…