Discusses: (1) different types of learning (concepts, properties, facts, procedures, algorithms, skills, and problem solving); (2) types of learning behaviors; and (3) types of representational models, considering concreteness, meaningfulness, and manipulation (active manipulation, passive manipulation, and nonmanipulation). (JN)

This book is a compatible instructional component to any algebra textbook and was developed by University of Hawaii under the Dwight D. Eisenhower Mathematics and Science Education Improvement Act. The tasks align with the content and instructional approach used in daily classes that emphasize standards-based teaching and learning. The tasks…

Provides Terrapin LOGO programs that use graphic manipulatives--squares, logs, and units--to form the area of a rectangle as a graphical representation for any trinomial of the form: Axx + Bx + C. An important component is the connection of the procedural skill of trinomial factoring to the visualization of the accompanying rectangular displays.…

This publication is part of a series of monographs on the art of teaching. Each volume, focusing on a specific discipline, explores theory in the context of teaching strategies connected to evaluation of both teachers' and students' learning. Three techniques are offered for use of the guide: dialogues (as self-evaluation and in study groups),…

Highlights combinatorial problems appropriate for students aged 4 to 12 years that utilize manipulatives in a hands-on approach. Examines and identifies students' strategies and self-monitoring techniques that produce effective problem solving. (MDH)

This paper is a summary of much of the available research on college science laboratory instruction of the past decade with a focus on the effects of specific laboratory teaching strategies upon student learning outcomes. Some tentative interpretations from a review of the literature found are: (1) inquiry or investigative approaches in college…

The importance of teaching students to communicate mathematically is discussed. Examined are ways to develop this skill. Activities and open-ended questions are included. The use of physical materials, cooperative groups, listening skills, and writing are stressed. (KR)

Presents activities to create designs with different arrangements of square tiles, which gives students an opportunity to make conjectures about perimeter and to make convincing arguments to justify those conjectures. Includes worksheets. (MKR)

Presents a study to examine the effects of a verbal teaching strategy versus a strategy providing instruction using activities and manipulatives in four seventh grade earth science classes with students of varying cognitive abilities (n=83). Results indicate that students with more cognitive structures perform better and that using manipulatives…

The negative impact of low attendance and the lack of effective, alternative classroom learning strategies are factors that mitigate against student interest and success in mathematics, particularly with respect to inner-city at-risk students. The goal of this practicum was to improve the problem-solving skills of a group of 50 alternative high…

Small-group cooperative learning provides an alternative to both traditional whole-class expository instruction and individual instruction systems. The procedures described in this volume are realistic, practical strategies for using small groups in mathematics teaching and learning with methods applicable to all age levels, curriculum levels, and…