The 50 diagnostic mathematics tests cited in this bibliography are instruments to aid in analyzing students' strengths and weaknesses in various mathematical areas so as to provide more effective instruction, and/or placement in courses of instruction. The tests are primarily designed for preschool through grade 3. This document is one in a series…

The curriculum-embedded procedures used to construct, validate, and refine assessment tasks for mathematics are described and discussed. Curriculum-embedded assessment places assessment tasks in the day-to-day context of the classroom. The test of a curriculum-embedded task is whether it could be regarded as curriculum material per se. In…

In 1990, a study was conducted at Columbia College (CC) to determine whether a predictor variable could be constructed for student nonsuccess in beginning mathematics courses. For the purposes of the study, nonsuccess was defined as earning a grade of D, F, or No Credit either at the time of withdrawal from the course or as a final grade. The…

Diagnostic score reports linking assessment outcomes to instructional interventions are one of the most requested features of assessment products. There is a body of interesting work done in the last 20 years including Tatsuoka's rule space method (Tatsuoka, 1983), Haertal and Wiley's binary skills model (Haertal, 1984; Haertal & Wiley, 1993),…

This paper discusses the assumptions required by the item response theory (IRT) true-score equating method (with Stocking & Lord, 1983; scaling approach), which is commonly used in the nonequivalent groups with an anchor data-collection design. More precisely, this paper investigates the assumptions made at each step by the IRT approach to…

The "General Mathematics" series is intended to introduce students to basic mathematic principles and concepts as well as to the opportunity to apply those principles and concepts. This color coded module, one of six in the series, will allow students to build or increase their level of understanding of whole numbers and will help…

The "General Mathematics" series is intended to introduce students to basic mathematic principles and concepts and to provide the opportunity to apply those principles and concepts. This module, one of six in the series, will allow students to build or increase their level of understanding of decimals and percents, and will help students…

A preliminary report on the California Achievement Tests (CAT) performance of students attending the Public School Academy (PSA) in Minneapolis (Minnesota) in 1988-89 is presented. The performance of students in grades 2-4 on the CAT reading comprehension and mathematics computation subtests and the performance of students in grade 4 on the…

This book is written for coaches of secondary school students involved in mathematics contests. Benefits, of contests and suggestions for coaching mathematics contests are described. Sample questions are presented for the following contests: (1) Open categories, written competition; (2) Identified topics written competition; (3) Eight-person team…

The purpose of this project was to evaluate the effectiveness of an interactive Level 1 videodisc program called "Mastering Fractions." The evaluation was conducted in two parts. Part 1 was a controlled study that compared the Mastering Fractions program to a more traditional fractions curriculum while controlling for any novelty effect of the…

Because of the high incidence of failure in algebra I among ninth-grade students, the Louisiana State Board of Elementary and Secondary Education requested the development of this guide with the intention of providing a good pre-algebra foundation. The purposes of the guide are to recognize standards that involve the application of mathematical…

The aim of this study was to identify deficiencies in students' knowledge and understanding of basic algebraic concepts and operations. Since analysis of errors is an effective way of tracing misconceptions in mathematics, a diagnostic test was compiled for this purpose. A total of 162 items was included in the test which was administered to 4,635…

This report contains a brief description of the study in the province of Manitoba, Canada along with recommendations based upon the judgements of the Technical Advisory Committee. Grade levels 3, 6, 9, and 12 were administered the test. The purposes of the test were to: (1) provide benchmark indicators relative to the level of mathematics…

This report contains a description and analysis, along with conclusions and recommendations, of the three components of the 1987 Mathematics Assessment in Manitoba, Canada: (1) the student achievement tests at grades 3, 6, 9, and 12; (2) the comparison testing (1981-1986) at the same grade levels; and (3) the teacher survey. The intent of the…

In this project, a plan for solving word problems based on the students' level of development was developed. A 10-week implementation of a plan for solving word problems at the concrete level of development included the use of a flow chart or plan to map out and solve word problems. Students then used the flow chart and manipulatives to develop…