Describes a continuous sequence of development of arithmetical and ratio reasoning capacity which very few students now attain in introductory science courses. Sequence progresses from verbal interpretation of ratio of two numbers, to arithmetical reasoning involving division, coupling arithmetical reasoning to graphical representation, and to…

The Cincinnati Public Schools' German-English Bilingual Alternative School program is discussed. The program was established in 1974 for some 200 monolingual first and second graders, and expands vertically each year to the next grade level. Tests of reading and arithmetic skills show achievement equal to or greater than regular students. (CHK)

Using this four CD-ROM disc set, teachers can have their very own math problem solving mentor as a leading expert in Singapore Math guides them through a lively presentation, working through math problems and explaining how Singapore has become the world's leading method in math. The expert's explanation of how to use Singapore's model-drawing…

This book is a teacher's resource guide designed to help students gain the range of math skills they need to succeed in life, work, and on standardized tests; overcome math anxiety; discover math as interesting and purposeful; and develop good number sense. Topics covered in this book include whole numbers and addition, subtraction,…

We examined elementary school teachers' justifications to number- theoretical "for all" propositions and existence propositions, some of which are true while others are false. We also assessed whether teachers regarded their justifications as mathematical proofs. About half of the teachers produced formal algebraic proofs. A smaller number of…

We examined elementary school teachers' justifications to number- theoretical "for all" propositions and existence propositions, some of which are true while others are false. We also assessed whether teachers regarded their justifications as mathematical proofs. About half of the teachers produced formal algebraic proofs. A smaller number of…

This book helps teachers examine how children learn mathematics, develop a positive attitude toward and an interest in mathematics, teach mathematics with problem solving as the primary focus, understand the elements of a comprehensive mathematics curriculum, and establish a classroom environment that supports children's learning of mathematics.…

This paper discusses an approach to the study of algorithms which values students' construction of nonstandard algorithms but also emphasizes the essential roles of the teacher and instructional activities in supporting the development of students' numerical reasoning. Episodes are presented from a 3rd grade classroom in which a 9-week teaching…

This document is a collection of six mathematics lesson plans for use with students with learning disabilities or mild mental retardation. The lesson plans utilize the Essential Elements of Instruction (EEI) 5-Step lesson design model developed by Madeline Hunter. The lesson plans and their authors are as follows: (1) "An EEI Lesson for 1st…

This booklet presents 10 easy fun tips for parents to help their children build self-confidence by making them aware of the mathematics all around. These 10 activities were developed to help children master basic math skills, see the relationship between math and everyday activities, and school learning. (ASK)

By measuring the performance of 62 students enrolled in a community college introductory algebra course, this study challenges the generally accepted assumption among mathematics instructors that mastery of arithmetic is necessary for the learning of algebra. Study subjects were 35% male, 74% Hispanic, 16% Black, 8% white, and 2% other. A pretest,…

This textbook is part one of an arithmetic course. It provides systematic drill on oral and written exercises, and review and test questions. Attention is invited to the properties of numbers, greatest common divisor, fractions, decimals, compound numbers, business arithmetic, ratio and proportion, alligation, and square and cube root, with the…

Paper is concerned with a UNESCO project, intended to apply the methods of correspondence teaching to newly literate and semi-literate workers and to raise them to a sufficient level to begin technical training. (Author)

After noting that accurate calculation is not the only reason for teaching arithmetic, innovative activities providing practice with basic facts, pattern spotting,'' and exploration are presented. (MS)