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…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers ratio and proportion. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with directions for module completion; information…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers perimeters, areas, and volumes. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introduction; study guide/check list with directions for module completion;…

One of a series of pre-apprenticeship phase 1 training modules dealing with math skills, this self-paced student module covers circumferences and areas of circles. Included in the module are the following: cover sheet listing module title, goals, and performance indicators; introducation; study guide/check list with directions for module…

Problems were presented to 13 university students in which letters were to be added or subtracted (e.g., B + D = ? or F - ? = D). After each problem, each subject gave a retrospective protocol indicating the way in which the problem was solved. Models of performance by each subject in each experimental session shared major properties; choices by…

Students in grades 1, 3, 4, 5, 6, and college were timed as they produced the answers to simple addition problems or verified a given problem as true or false. First graders clearly relied on a counting process for their performance, as advanced by the Groen and Parkman "min" (for minimum addend) model. Third grade appears to be a…

This student manual is concerned with the practical application of mathematics as used by masons. The manual's design allows students to work at their own pace. Included in each of the five units are individual lesson sheets with written instructions and explanations. Each information sheet states that topic's objectives, information about the…