Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematical reasoning while participating in collaborative dialogue about the…

The Carl D. Perkins Career and Technical Education Act of 2006 (Perkins IV), signed into law on August 12, 2006, lays out the statutory requirements governing federal support for career and technical education (CTE) services offered within secondary schools and postsecondary institutions throughout the United States. Aimed at more fully developing…

The study used the semantic strategy of stories linking to-be-remembered items and a serial-recall requirement with 27 educable mentally retarded adolescents. In comparison to control subjects, Ss recalled more in the early trials of original learning, but retention after eight months was comparable for the two conditions. (Author/DB)

An experiment on sequence procedures for presenting text materials to pupils demonstrated that web sequencing (presenting concepts as related parts of a network) resulted in better test performance than linear sequencing. Information processing strategies used by pupils did not influence either the sequence of information presentation or test…

When subgoal location was appropriate to the serial pattern, subjects were likely to use a strategy resulting in enhanced rule induction and transfer with increased subgoal density. When subgoal location was not appropriate, subjects tended to use a strategy resulting in considerably reduced role induction and transfer. (Author/PN)

Describes the application of basic factor analytical and classical scaling techniques to mathematics placement test data that indicates that the sequence of mathematical skill areas traditionally taught in schools should be somewhat altered in order for students to reach optimal achievement levels. (FL)

A longitudinal research study in Israel was designed to investigate effects of mutual interrelations between courses in sequential teaching on long-term retention of learning in a science curriculum. The results implied that a program composed of a hierarchical sequence of learning units is superior to a discontinuous array of discrete courses.…

Mastery learning techniques were improved through mathematics instruction based on a validated learning hierarchy, presenting tasks in a sequence consistent with the requirements of the hierarchy, and requiring learners to demonstrate achievement before being allowed to proceed. (Author/GDC)

Ninety-five secondary students were given textbook material in which two sequence variations (web and linear) were used in relation to the information processing strategies (serialist or holistic) demonstrated by the students. Users of the web-structured sequence scored higher on concept retention. (Author/JJD)

Using the Component Display Theory as an analyzing tool, this study compared the effects of expository and discovery methods of instruction on two learning outcomes, application and transfer. One hundred ninth grade students in each of four earth science classes were randomly assigned to five groups--four experimental groups designed to test four…

A study explored the group mapping activity, a process that encourages each reader to construct a visual schema or map following the reading of a story. It also sought to determine if there is a developmental sequence in eighth grade and college students' mapping and if these representations provided new insights into how readers process language.…

Results of this study suggest that diagrams provide different types of information for ninth-grade students (N=273) and that learners process each type differently. Flow diagrams running across a page from either left to right or right to left, or with or without drawings of dinosaurs, were used. (JN)

Reports on students' study and drawing of five electronic circuit diagrams. Concludes that the success of the students depended upon the amount of detail in the instructional diagrams. (RT)

Reports possible validity of particular American Indian cognitive style based on the Bannatyne categories of the Wechsler Scales. Found statistically significant pattern of spatial ability, sequential ability, and verbal conceptual ability in 75 junior and senior high school Yakima Indian students. (LFL)

Reported is the production of an instructional methodology harmonizing with Piagetian theory and enabling teenage students, including those initially mismatched to the task, to understand the mole, as revealed by their performances on a test of basic skills considered fundamental to that concept. (DS)