Culturally responsive personalized learning (CRPL) emphasizes the importance of aligning personalized learning approaches with previous research on culturally responsive practices to consider social, cultural, and linguistic contexts for learning. In the present discussion, we briefly summarize two bodies of literature considered in defining and…

Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)

Presents Merrill and Tennyson's model of teaching concepts which can be used in elementary and secondary social studies courses. A sample concept lesson is included. (RM)

This paper describes a model of student attainment of mathematical concepts and its development. In this model three types of activities (developmental, connecting, and abstract) are considered as an overlay on the three ways of representing mathematical concepts (physical/visual, oral, and symbolic). Each activity type involves some means of…

The world presented to our senses is essentially continuous in space and time. The simplest observations of children have shown that we are not born with ways of "breaking up" the world. The structures of our knowledge must be developed, and the major issue this paper considers is how those structures develop. The discussion focuses on Jean…

The article describes the framework of two training workshops intended to help elementary classroom teachers make better use of open-ended questions and activities which foster high-level generalizations. Tables provide a summary of thinking models utilized in gifted education and sample teaching units. Eighteen generalizations for the social…

Considered are concepts and skills appropriate for basic teacher preparation, and those that should be reserved for more advanced, specialized preparation. The cyclical continuum of teacher education and models of teacher development are discussed. (MNS)

Describes the use of analogies to explain scientific concepts. Presents the teaching-with-analogies model. (JRH)

A model for learning mathematics is proposed which involves the components of using, discriminating, generalizing, and synthesizing. The ways pupils use Logo programs as tools within their projects and how the nature of their programming tools become more explicitly understood and generalized are discussed. (RH)

A model for division of fractions using money as manipulative material is presented. Eight levels are described, ranging from the development of language and concept introduction through types of problems to rule discovery and application. (MNS)

This book discusses the act of understanding in mathematics. The first chapter, "Understanding and Meaning," inquires into the various senses and uses of the word "understanding" in ordinary language and discusses the notion of meaning and relations between understanding and meaning. The second chapter, "Components and…

Presents an instructional strategy based on the thesis that science concept learning involves cognitive accommodation of an initially held framework. The three stages of the strategy--exposing alternative frameworks, creating conceptual conflict, and encouraging cognitive accommodation--are illustrated in two lessons on the particle model of…

Investigates the effect of modeling analogy on learning of the concepts of electricity in grade 6, 8, and 10. Describes 2 analogies (train analogy and thermal analogy) with diagrams and examples. Discusses the accessibility, transferability, and difficulty of each analogy. Reports treatment effect and some further implications. (YP)

This article provides a framework for selecting and analyzing an effective language curriculum, based on 11 design-of-instruction criteria such as specification of the objective, number of practice activities, and review in subsequent lessons. The 11 criteria are discussed within the context of analyzing a sample lesson selected from a basal…

Ways are presented to help students develop precomputational fraction concepts and skills using a circular-region or "pie" model. (MK)