This report describes a simulation of adults' retrieval of arithmetic facts from a network-based memory representation. The goals of the simulation project are to: demonstrate in specific form the nature of a spreading activation model of mental arithmetic; account for three important reaction time effects observed in laboratory investigations;…

The Massachusetts Board of Education recently adopted a 5-year plan to assist Local Education Agencies (LEAs) in the curriculum areas of reading, writing, arithmetic, science, and computer literacy. However, reduction in funds and staff at the LEA level has decreased the ability of local programs to implement marketing and assistance. This manual,…

This teacher's guide is the ninth in a set of 20 activity booklets for teaching mathematics to children in grades 1-8. The 20-level curriculum embodies carefully delineated areas of learning arranged in progressive stages, eliminating grade restrictions and permitting continuous growth according to the individual's ability and rate of learning.…

In this practicum students' (n=27) learning styles were used to develop teaching lessons and strategies that would improve mathematics learning in a second grade classroom. Each child's learning style was determined through the Swassing-Barbe Modality Index (SBMI). Pretests for mathematics concepts were given. Each concept was then taught…

This paper describes an educational program developed on the basis that the use of blocks and other manipulatives can be useful both for initial teaching of exchange operations in arithmetic and for remediation of the faulty strategies which very commonly arise during acquisition of written calculation algorithms. This computer program is a…

This book provides practical ideas and information for volunteer tutors and teachers about teaching numeracy, as well as a reference section that concentrates on specific content areas. The first part of the book considers teaching techniques, the planning and presentation of numeracy material, evaluation of progress, reinforcement of newly…

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to the metal trades. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers, factoring,…

To determine whether children's knowledge of arithmetic facts becomes increasingly "automatic" with age, 7-year-olds, 11-year-olds, and adults were given a number-matching task for which mental arithmetic should have been irrelevant. Specifically, students were required to verify the presence of a probe number in a previously presented pair (e.g.,…

This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…

Targeted for grades 10 through adult, these military-developed curriculum materials consist of a student lesson book with text readings and review exercises designed to prepare electronic personnel for further training in digital techniques. Covered in the five lessons are binary arithmetic (number systems, decimal systems, the mathematical form…

All too often educators establish a "pretest, skill, posttest" type of curriculum. While this approach has an educational value, it must be used within a developmental framework based on individual thinking and learning style. Thus, a thorough knowledge of cognitive development is necessary. A review of the body of knowledge concerning…

In the foreword to this book, Inhelder states that its essential contribution is that "it transposed to actual reality Piaget's central epistemological thesis according to which mathematical thought is, from its most elementary manifestations, the product of the subject's activity that he characterized by the term 'reflective…

Sixty-five Year 2 children with ages ranging from six to seven years participated in a teaching experiment to introduce functional thinking. The results show that young children are capable of generalising, can provide examples of relations and functions, can describe the inverse of such relationships and give valid reasons for how they found the…

Developed by the Small Schools Career Education Development Project, the guide, divided into 6 units, provides 279 activities for math and language instruction in grades 1-6. Units are titled: Bank, Grocery Store, Hardware Store, Pandora's Box, Restaurant, and Streets, Bikes, and Highways. Both math and language activities are provided for each…

This experiment tested the hypothesis that combining operational strategies with free verbalization facilitates development of competencies, percepts of self-efficacy, and interest in arithmetic activities. Children lacking division skills received treatments in which they either verbalized division strategies, verbalized freely, did both, or did…