Transform mathematics instruction with the comprehensive mathematical competencies (CMC) framework--a research-based model that integrates seven essential competencies: conceptual and procedural integration, problem solving, logical reasoning, communication, tool use, pattern recognition, and student engagement. Through practical classroom…

The book that inspired millions of educators to refine their approach to teaching returns for an all-new third edition. Built on a more rigorous research base and updated to emphasize student diversity, equity, and inclusion, "The New Classroom Instruction That Works" offers a streamlined focus on the 14 instructional strategies proven…

Like the earlier editions, the current text is directed at educators who are interested in understanding the principles of cognitive psychology and applying them to instruction and curriculum design. The following chapters are included: (1) "Introduction to Cognitive Psychology"; (2) "Sensory, Short-Term, and Working Memory"; (3) "Long-Term…

This volume was organized at the request of the SMSG Panel on Research for their use in identifying needed research in mathematics education. The five papers provide a review of research in each of their areas up through early 1969. Papers included are: (1) Attitudes Toward Mathematics, by Lewis R. Aiken, Jr.; (2) Classroom Teaching of…

Presented are twenty essays related to applications in school mathematics and aimed at the classroom teacher. The essays use numerous examples and illustrations that provide the teacher with something tangible for immediate use. Four thematic areas are addressed: (1) What are applications?; (2) Why include applications in school mathematics?; (3)…

These student worksheets include activities in counting, place value, estimation, the four operations with whole numbers, number patterns, volume, inequalities, decimal equivalents of fractions, and percents, all to be worked with a calculator. (MP)

Five different ways are outlined in which calculators can be used to develop a student's ability: (1) to solve problems which use real-world data; (2) for solving a greater number of standard word problems; (3) for using different approaches to solve problems; (4) for extending problem situations; and (5) for using the calculator in an…

This document is a guide for teaching and learning concerning inquiry education. It identifies scientific inquiry in correlation with the National Science Education Standards and discusses the various functions and strategies for assessment. Contents include: (1) Inquiry in Science and in Classrooms; (2) Inquiry in the National Science Education…

This survey represents an attempt to indicate how much is known about all aspects of research in mathematics education. For each topic, a brief description of the variable is provided and the kinds of experiments or other empirical studies which have been used to investigate them are indicated. At the end of each chapter is a bibliography and a…

Described is the nature of scientific enterprise, the nature of thinking and problem solving, and the nature of science as an adventure. It is suggested that teachers of science could use this book to help make science education a liberating and intellectually stimulating experience. It is a book which treats exhaustively the theoretical and…

Based on the history of mathematics, these materials have been planned to enrich the teaching of mathematics in grades four, five, and six. Puzzles and games are based on stories about topics such as famous mathematicians, numerals of ancient peoples, and numerology. The sheets are arranged by grade level and are designed for easy duplication.…

This yearbook is intended to be primarily a highlighting of the essential elements of those basic mathematical understandings which should be continually developed and extended throughout the entire mathematics curriculum. An attempt is also made to illustrate training in mathematical modes of thought, sometimes labeled problem solving or creative…

This set of transparency masters of mathematical puzzles has as its intent the development of logical and perceptual skills. The puzzles include patterns, magic squares, and counting problems. Solutions and follow-up suggestions are provided on the back of each page. (MP)

This volume is the flagship volume in a series on cognitive strategy instruction. While strategies instruction is particularly appropriate for the learning disabled, it is also very useful for normal learners, especially inner city and minority children. The series focuses on conveying strategies instruction methods for use with these children.…

Conference papers reviewing the role of decision making in social studies education since 1960 are presented. The focus of the discussion was a paper by Shirley Engle published in 1960 entitled "Decision Making: The Heart of Social Studies Instruction." The first part of the booklet contains the text of that paper. Engle maintained that the…