This booklet is a catalog of error patterns found in basic arithmetic and algebra courses. It is intended to be used as a resource by instructors and tutors teaching these concepts. The material is divided into major concept headings with subheadings. The error patterns are named and given a brief general description followed by a specific example…

Children appear to interpret the "equals" sign as an operator ("adds up to") not a relational ("the same as") symbol--e.g., viewing equations like 13 = 7 + 6 or 8 = 8 as senseless. This study, a natural experiment, examined the effects of long-term instruction emphasizing a relational definition of "equals."…

This document presents an overview of legislation and actions resulting in the passing of Public Law 94-142, the Education for All Handicapped Children Act, and presents information of use to school personnel in mainstreaming. The document's first section traces the history of the treatment of handicapped individuals by society since the…

The SCOPE Mathematics Achievement Test booklet for grade 4 presents 11 mathematical concepts with instructions for students to take the test with little or no teacher direction. Testing items are: writing number words to 100; giving the place value of any digit and using this to write in expanded form; finding a numeral between two given numerals…

This textbook aims to (1) train the pupil in that part of arithmetic used in everyday business which he can understand; (2) develop his skill in rapid calculation by short cuts and time tests; (3) show the necessity for checking, and develop the habit of checking; (4) develop the habit of thrift by planning budgets, keeping accounts, and becoming…

This document consists of two major sections. The first of these is actually three units that look at applications of arithmetic to business. Basic pre-algebra mathematics is an assumed prerequisite. These units are titled: 367-The Real Numbers; 368-Fractions and Their Uses: Ratio and Proportion; and 369-Exponents: Powers and Roots. Each module…

This study investigated a theoretical structure which attempts to explain the problem-solving strategies used by first-grade students who are successful in solving simple arithmetic story problems. The structure used describes the problem-solving procedure as consisting of a three-stage model building process: (1) comprehending the story, (2)…

A new diagnostic modeling system for automatically synthesizing a deep structure model of a student's misconceptions or bugs in his/her basic mathematics skills provides a mechanism for explaining why a student is making a mistake as opposed to simply identifying the mistake. This report consists of four sections. The first provides examples of…

This item bank was compiled by the Australian Council for Educational research (ACER) to help teachers at the secondary school level construct objective tests in arithmetic and algebra. The multiple-choice items were written by teachers who attended ACER writing workshops. The questions are classified according to their subject content and the…

The use of computer-produced materials remote from the terminal can revitalize teaching devices and techniques such as graded exercises, precision teaching, and even conventional text. Teachers need to be aware of inconsistencies in the quality of computer software and of logistical factors involved in the adoption of computer assisted instruction…

TO DETERMINE THE EFFECT OF INSTRUCTIONAL APPROACHES FOR SUBTRACTION AND/OR TIME OF SYMBOLIZATION UPON (1) ACHIEVEMENT IN ARITHMETIC, (2) ATTAINMENT OF NUMBER CONCEPTS, (3) ATTITUDES TOWARD ARITHMETIC IN GRADES ONE AND TWO, THIS REPORT ASSESSES FOUR EXPERIMENTAL CLASSES, THERE WERE TWO FIRST GRADE CLASSES OF 20 PUPILS EACH AND TWO SECOND GRADE…

SIXTY URBAN, MIDDLE-CLASS, FOURTH-GRADE TEACHERS IN THE SOUTHWEST WERE GIVEN THE EDWARDS PERSONAL PREFERENCE SCHEDULE (EPPS) AS A MEASURE OF PERSONALITY. THEIR CLASSROOM BEHAVIOR WAS THEN RECORDED ON A TEACHER OBSERVATION PERSONALITY SCHEDULE REFLECTING EDWARDS' DEFINITIONS OF HIS NEEDS FOR ACHIEVEMENT, ABASEMENT, AFFILIATION, DOMINANCE, CHANGE,…

FOUR HYPOTHESES WERE CONSIDERED DURING THIS EVALUATION STUDY, NAMELY THAT THE TEACHING OF ARITHMETIC IN GRADES 4, 5, AND 6 BY THE MADISON PROJECT WILL--(1) PRODUCE AS GREAT AN INCREASE IN ACHIEVEMENT AS THE METHOD COMMONLY PRACTICED, (2) PRODUCE A GREATER INCREASE IN ALGEBRAIC APTITUDE, (3) PRODUCE A GREATER INTEREST IN MATHEMATICS, AND (4)…

A CROSS-CULTURAL STUDY WAS CONDUCTED TO COMPARE THE ACHIEVEMENT LEVELS OF BRITISH AND UNITED STATES ELEMENTARY SCHOOL STUDENTS IN GRADES 1-6, OF VARYING ABILITY LEVELS, FROM BOTH PRIVATE AND PUBLIC SCHOOLS AT THE APPROXIMATE BEGINNING, MIDDLE, AND END OF THE ACADEMIC YEAR. ACHIEVEMENT ANALYSES WERE BASED PRIMARILY UPON SCORES EARNED ON THE…

This investigation used a clinical interview technique to identify the difficulties of kindergarten children who are unable to develop models or representations of simple arithmetic story problems. It is hypothesized that effective human problem solvers first generate some type of "physical model" and use this model to create a…