This study examines the construct of problem representation and the processes used by learners to construct or modify problem representations in problem-solving situations. Students (n=14) from freshman calculus courses at the University of California at San Diego participated in videotaped interviews in which they were asked to think aloud as…

This teacher's guide is the ninth in a set of 20 activity booklets for teaching mathematics to children in grades 1-8. The 20-level curriculum embodies carefully delineated areas of learning arranged in progressive stages, eliminating grade restrictions and permitting continuous growth according to the individual's ability and rate of learning.…

The objective of this presentation is to focus on the use of a hand-held graphics calculator. The specific machine referred to in this monograph is the Casio fx-7000G, chosen because of its low cost, its large viewing screen, its versatility, and its simple operation. Sections include: (1) "Basic Operations with the Casio fx-7000G"; (2) "Graphical…

The purpose of this notebook is to assist educators who are designing and implementing inservice education programs to facilitate the effective use of computer integrated instruction (CII) in schools. The book is divided into the following five sections: (1) Effective Inservice (a brief summary of inservice literature focused on inservice…

The December 1990 Media Evaluation Services list of computer courseware includes the following: (1) Group Grammar: grades 5-10 identify elements of grammar and mechanics; (2) Ready-Set-Read: Sequence: grades K-2 put pictures or sentences in order; (3) Write-On! Sarah, Plain and Tall: grades 4-7 develop reading, writing, and thinking skills through…

A fourth grade teacher and grade level team leader designed and implemented a 10-week practicum intervention meant to improve 26 fourth grade students' motivation, perseverance, and positive attitudes toward problem solving in mathematics. Students took part in activities that enhanced perceptual and deductive reasoning skills, including strategy…

This report describes the first of three stages in a study in the domain of problem solving: the definition and explication of schema knowledge. One objective of this research is to understand how schema knowledge is acquired and used in the chosen domain. The focus is on ways in which instruction influences the development of specific knowledge…

This collection of learning activities is intended for use in reinforcing mathematics instruction as it relates to the metal trades. Fifty activity sheets are provided. These are organized into units on the following topics: numeration, adding whole numbers, subtracting whole numbers, multiplying whole numbers, dividing whole numbers, factoring,…

This curriculum support document, developed by a committee of teachers in Manitoba, contains information and practical applications dealing with key concepts of problem solving in mathematics for grades 7, 8, and 9. Contained in the handbook are: (1) an introduction that establishes the background and identifies the goal and objectives of the…

Research on everyday learning has begun to illuminate some of the relations between activity and knowledge, and thus can help educators reconceptualize classroom activities. For example, how and what children learn about money epitomize many of the differences between everyday and school-based problem solving. The general goals of this paper are…

The objectives and assessment characteristics of the Georgia Criterion-Referenced Tests for grade 1 are given to show teachers the range of content and type of questions. In mathematics, objectives are defined in areas of: (1) concept identification, recognition of the names and relationships between numbers; (2) component operations, use of…

The objectives and assessment characteristics of the Georgia Criterion-Referenced Tests of reading and mathematics for grade 2 are given to familiarize teachers and curriculum directors. In mathematics, objectives are defined for: (1) concept identification, testing understanding of the basic vocabulary and relationships of numbers; (2) component…

The objectives and assessment characteristics of the Georgia Criterion-Referenced Tests for grade 3 are defined for reading and mathematics. Mathematics objectives are given for: (1) concept identification, the recognition of names, relations, and properties of numbers and units; (2) component operations, using numbers and unit of measurement; and…

The reading and mathematics objectives of the Georgia Criterion-Referenced Tests for Grade 4 are described. In reading, objectives are defined for: (1) literal comprehension, the understanding of information explicitly stated in the materials; (2) inferential comprehension, the understanding of information not literally expressed; and (3) problem…

This booklet provides a brief overview of the Connecticut ninth-grade proficiency test by listing the skills to be assessed on the test. Sample questions exemplifying each skill are also included. Areas assessed include: (1) basic writing skills in the language arts (mechanics of written expression, composing and organizing skills, and library…