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Direct linkVladimir Miškovic – Australian Mathematics Education Journal, 2023
The purpose of this article is to present and discuss two recommended sequences of learning the areas of polygons, starting from the area of a rectangle. Exploring the algebraic derivations of the two sequences reveals that both are valid teaching progressions for introducing the area formula for various polygons. Further, it is suggested that…
Descriptors: Algebra, Geometric Concepts, Plane Geometry, Mathematical Formulas
Roelle, Julian; Renkl, Alexander – Journal of Educational Psychology, 2020
Example-based learning often uses a design in which learners first receive basic instructional explanations of new principles and concepts and then examples thereof. In this sequence, it is crucial that learners self-explain by using the content of the basic instructional explanations to elaborate on the examples. Typically, learners are not…
Descriptors: Demonstrations (Educational), Self Concept, High School Students, Instructional Effectiveness
Download full textSchramm, Wilbur – Office of Education, US Department of Health, Education, and Welfare, 1964
This annotated bibliography is a compilation of the research on programed instruction conducted in the United States since 1954. The introduction describes the field; looks back over the research and reviews some of its conclusions; answers the question whether students learn from programmed instruction; explains the characteristic variables; and…
Descriptors: Educational History, Educational Research, Research Reports, Annotated Bibliographies
Hanson, Lincoln F., Ed. – Office of Education, US Department of Health, Education, and Welfare, 1963
This bulletin lists materials available in the fall of 1963 to assist educators in their selections of programmed instruction materials, and updates the inaugural issue, "Programs '62." Since the 1962 edition provided a number of first analyses of programmed material available, some of the present statistical data have been related to last year's…
Descriptors: Educational History, Programmed Instructional Materials, Guides, Teaching Methods
Hanson, Lincoln F. – Office of Education, US Department of Health, Education, and Welfare, 1963
This bulletin lists materials available in the fall of 1963 to assist educators in their selections of programmed instruction materials, and updates the inaugural issue, "Programs '62." Since the 1962 edition provided a number of first analyses of programmed material available, some of the present statistical data have been related to last year's…
Descriptors: Educational History, Programmed Instructional Materials, Guides, Teaching Methods
