In math classes, teachers often focus instruction on the formulas and processes needed to solve different types of problems, but neglect to teach the concepts on which these tools are based. In this article, the author argues that before they can do this, teachers themselves need to understand "understanding math." Teaching mathematics with…

Seriation refers to the process of ordering objects along single or multiple magnitude dimensions such as length, weight, and color. The ability to order objects in terms of some attribute is essential for the child's understanding of the properties of numbers. This study investigated the effect on seriation performance of increasing both the…

The Colorado Model Content Standards for Mathematics were designed to serve as a guide for school districts as they define standards that will enable every Colorado student to develop the mathematical literacy needed for citizenship and employment in the 21st century. A new vision is provided of the content students should study in order to…

The purpose of this investigation was to examine historical changes in aptitude scores. Recent literature suggesting a decline in the quality of the U.S. workforce is reviewed, and an expectation that score distributions on aptitude tests have shifted in a negative direction is presented. Archival analyses of normative data for the Short…

The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…

Thirty-six studies on individualizing instruction in arithmetic are reviewed, and the general findings emerging from the combined research are discussed. (SD)

Using arrays of dots and grids many numerical concepts can be illustrated for students. (SD)

A game involving operations on whole numbers, observing patterns in the relationships between operands and results, and seeking problems yielding various numerical solutions is described. (SD)

Many concepts can be introduced informally through activities. Among those which can be investigated using easily-made 10-by-10 pegboards are geometric shapes, coordinate systems, grouping and regrouping, and addition of two-place numbers. (SD)

Fourth-grade students and their parents attended evening mathematics classes together. Parents and students helped each other in solving arithmetic problems. Scores of students on a posttest were significantly better than on a parallel pretest. (SD)

Intended for preschool children, this workbook provides practice in the readiness skills for handwriting. The workbook's activities, presented in sequence of difficulty, promote the following skills: developing language; seeing similarities; seeing differences; filling in missing parts; writing basic strokes; drawing objects; establishing…

Intended for children in first grade, this workbook provides practice in writing correctly all 26 manuscript letters, both upper and lower-case, and numerals from 0 to 9. The alphabet used in the workbook is the Zaner-Bloser style of handwriting, the most widely used system in the schools of the United States. The strokes used to make each letter…

Intended for children in second grade, this workbook provides practice in writing correctly all 26 manuscript letters, both upper and lower-case, and numerals from 0 to 30. The alphabet used in the workbook is the Zaner-Bloser style of handwriting, the most widely used system in the schools of the United States. The strokes used to make each…

The focus of this activities book is on using calculators to solve problems, as a way of promoting better comprehension in mathematics in the intermediate grades. Problems of various types are presented, ranging from those based on everyday life such as shopping, schedules, meal planning, and sports, to those involving imaginary ideas.…

This booklet was designed for use with children aged 4-6 as a teaching tool that can be used both at home and school. Mathematical skills are presented in increasing order of difficulty, with each page building on the previous one, so that there is a built-in success factor. This success is presumed to convey the idea that learning mathematics is…