Compares the conceptual organization of students in an integrated algebra and physical science class (SAM 9) with that of students in a discipline-specific physical science class (PSO). Analysis of students' concept maps indicates that the SAM9 students used a greater number of procedural linkages to connect mathematics and science concepts than…

A Sacramento County district successfully combines rigorous standards with civic values and service learning, requires both algebra and geometry, and helps students pass the high school exit exam. The community has been involved in raising standards and developing accelerated learning programs at all 29 elementary schools. (MLH)

The cognitive structure of an algebra test was defined and validated using the linear logistic test model (LLTM) and quadratic assignment (QA). A 29-item test was administered to 235 ninth graders. Results suggest the benefits of applying both LLTM and QA to test construction and analysis. (SLD)

Diagnosing cognitive errors possessed by examinees can be considered as a pattern classification problem that is designed to classify a sequential input of stimuli into one of several predetermined groups. The sequential inputs in this paper's context are item responses, and the predetermined groups are various states of knowledge resulting from…

Virtually every public issue depends on data, projections, inferences, and systemic thinking. Besides basic mathematics skills, numeracy (quantitative literacy) encompasses estimating tolerances and errors, constructing complex computer simulations, using flowcharts, drawing inferences, and calculating in three dimensions. The narrow…

Results for 3,244 female and 3,033 male junior high school students from the Second International Mathematics Study show that applied items in algebra, geometry, and computation were easier for males but arithmetic items were differentially easier for females. Implications of these findings for assessment and instruction are discussed. (SLD)

Results from North Carolina's End-of-Course Testing Program in 1989-90 are presented. Participation, student characteristics, and achievement are summarized, largely in table form, for the following subject areas: (1) Algebra I, (2) Geometry, (3) Algebra II, (4) Biology, (5) Chemistry, (6) Physics, (7) U.S. History, and (8) English I. Background…

The effect of multiple-choice (MC) or open-ended (OE) response format on diagnostic assessment of algebra test performance was investigated with 231 eighth and ninth graders in Tel Aviv (Israel) using bug or rule space analysis. Both analyses indicated closer similarity between parallel OE subsets than between stem-equivalent OE and MC subsets.…

To counter Hispanic migrant youth's educational discontinuities and high dropout rate, Congress established the national Migrant Education Program as part of the 1965 Elementary and Secondary Education Act. The Hawkins-Stafford Amendment (1988) expanded students' eligibility. Describes exemplary programs for older students: PASS (Portable Assisted…

Public schools are failing because they still provide a classical, rather than an applied, education that prepares students for the real world beyond high school. An Oklahoma high school has revamped its ninth-grade math curriculum to include only algebra and geometry (using calculators and real-world applications) and requires four years of math…

With the goal of academic excellence for all students in mind, The College Board's EQUITY 2000 educational reform program was designed to test the hypothesis that enrollment and success in the gatekeeper courses of algebra and geometry will bridge the gap of achievement and college-going rates between minority/nonminority students and economically…

Data reduction techniques seek to combine variables that account for patterns of variation in observed dependent variables in such a way that a simpler model is available for analysis. Factor analysis is a data reduction technique that attempts to model or explain a set of variables in terms of their associations. To understand why this technique…

In 1989, a study was conducted of the mathematics assessment portion of the matriculation process at California's Saddleback College (SC). The two main purposes of the study were to examine student enrollment behavior in recommended mathematics courses as well as to compare the success rates of students who enrolled in the recommended courses with…

Given only correlation coefficient, one cannot infer causality. This lesson has been lost on Secretary of Education Richard Riley, who recently intoned that "taking rigorous mathematics courses ... early in secondary schools is a gateway to college and future employment." Students taking such classes have probably already been identified…

This report describes the development of a new tool for assessment research in graduate education. The tool, the Algebra Assessment System, is based on GIDE, a pre-existing program that diagnostically analyzes complex constructed responses to algebra word problems. The project had three goals. The first goal was to build a generically usable…