Children often learn abstract mathematics concepts with concrete manipulatives. The current study compared different ways of using specific manipulatives -- base-ten blocks -- to support children's place value knowledge. Children (N = 112, M age = 6.88 years) engaged in place value learning activities in one of four randomly assigned conditions in…

Cognitive development of eighth-grade students, as identified by Jean Piaget, occurs during a time when many of them are transitioning between concrete operations and formal operations where the ability to think in abstract concepts becomes possible. Because of this period of transition, many eighth-grade students find difficulty in demonstrating…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

To promote learning and transfer of abstract ideas, contemporary theories advocate that teachers and learners make explicit connections between concrete representations and the abstract ideas they are intended to represent. "Concreteness fading" is a theory of instruction that offers a solution for making these connections. As originally…

Designing pedagogical experience to serve as groundwork on which to build an understanding of abstract concepts is a challenging mission for educators. Much research has found that embodied activities could facilitate conceptual metaphor for students to understand such concepts. This study has captured the trajectory of reasoning occurred during…

Educational systems worldwide underscore the importance of developing higher-order thinking skills (HOTS) to prepare students for the new challenges of the XXI century. Some pressing issues faced by educators include the ambiguity of the construct; the implementation of HOTS in classroom practices; and the implications for teaching students from…

Described is an exercise that will help college-level psychology students learn abstract and relational thinking skills. The exercise will provide students with a new way to handle compare-and-contrast questions. (RM)

Mathematical games designed for children from kindergarten to grade five using buttons as counters are described. Each game description includes a brief discussion of the number and mathematical concepts it teaches. (JD)

The Philosophy for Children Program was introduced to a class of deaf fifth graders as an instructional approach for reasoning skills. The program is intended to develop analytic skills required for intellectual functioning (including concept development, generalization, inference making, question formulation, and analogies). The program's major…

This study investigated the effect of two external conditions on the learning of principles by children. The external conditions were instruction on the major concepts related in the principle and the number of teaching examples and teaching nonexamples of the principle presented with a statement of the principle. Subjects were 159 fifth-grade…

Ten remedial mathematics exercises are provided for children who have failed to integrate or apply their math skills. The exercises provide remediation through systematic experimentation, rather than abstract drills, by using number-configuration distinction with blocks, fractioned candy bars, decimal match sticks, graphed pictures, etc. (JDD)

One of the major goals of the social studies is to help students gain and refine skills in the area of value clarification. Value sheets, carefully planned activities designed to elicit value clarifying patterns of language from students, are one way of securing value clarification. Sheets, planned in conjunction with ongoing units of instruction,…

Discusses a variation on tiling that offers opportunities for the construction of the fundamental mathematical concept of constructing abstract units called "unitizing." Tiling integrates geometric and numerical settings to develop spatial sense and present mathematics as constructing patterns. (MDH)

Differences in levels of subject matter learning at the university level were explored to determine how a learning task is approached between those who are successful and those who are less successful. Students read a selected social science text, (Paul Samuelson's "Economics", for example), related the material learned, answered content…

This seventeenth in a series of twenty-nine learning modules on instructional execution is designed to give secondary and postsecondary vocational teachers help in developing competencies needed in demonstrating a concept or principle. The terminal objective for the module is to demonstrate a concept or principle in an actual school situation.…