A sequence for teaching quadratic equations is presented. Considered are: multiplying arithmetic binomials, multiplying algebraic polynomials, reversing the process, missing terms, perfect squares, other special forms and diagrams, quadratic equations, completing the square, systematizing the process, the general form, graphing equations, and…

This paper is a preliminary inquiry by a non-mathematician into graphic methods of sequential planning and ways in which hierarchical analysis and tree structures can be helpful in developing interest in the use of mathematical modeling in the search for creative solutions to real-life problems. Highlights include a discussion of hierarchical…

The need for developing a geometry curriculum sequence is discussed. Work by a group of about 50 mathematics educators on intuitive aspects of Euclidean classifications and relations is presented. Textbooks were analyzed, a sequence of concept clusters developed, and a scope-and-sequence chart included. (MNS)

Helping children to bridge the gap between physical materials and symbolic representations is the focus of this article. Examples are drawn from numerical topics, with several hierarchies illustrated. (MNS)

Presents a scope and sequence for social studies grounded in global education. Four essential elements set the boundaries for the scope of the curriculum: (1) the study of systems; (2) the study of human values; (3) the study of persistent issues; and (4) the study of global history. Illustrates how these themes are sequenced throughout grades…

Provides the recommended scope and sequence for social studies from the National Council for the Social Studies Task Force on Scope and Sequence. Outlines the knowledge base and skills which undergird social studies education, and gives grade level examples of the substantive content from K-12. Offers a chart which gives optional sequences for…

Offers a thematic approach for social studies scope and sequence. Outlines 10 themes which are offered at each grade level K-12 providing the scope for the curriculum. Illustrates how higher-order thinking and inquiry can be incorporated into the program and outlines the content for grades K-12. (SLM)

Presents the hierarchical structure of quadrilaterals as an illustration of learning a geometric concept by moving from the levels of visualization and analysis to the level of formal deduction. The development discusses the classification of quadrilaterals, the inheritance of properties within the hierarchy, connections between algebra and…

Presents scope-and-sequence models from the National Commission on Social Studies in the Schools, the Bradley Commission on History in Schools, and three from the National Council for the Social Studies (NCSS) Ad Hoc Committee on Scope and Sequence. Provides NCSS's criteria on scope and sequence and notes that sequence of the five models varies…