This article discusses the need for thoughtful programs of spiritual formation for lay educators who staff Catholic schools. The importance of teacher formation in spiritual growth and in knowledge of the Catholic faith and daily living of the Gospel is highlighted. Relevant theory related to the real-world problems of maintaining and developing…

The Conceptual Learning and Development (CLD) Model suggests four successive levels of concept learning: (1) concrete--recognizing an object which has been encountered previously; (2) identity--recognizing a known object when it appears in a different spatial, time, or sensory perspective; (3) classificatory--generalizing that two items are alike…

One cognitive theory of spelling states that the spelling of words can be produced in one of three ways, depending on the amount and kind of information stored in the memory about a particular word. Assuming this theory as a foundation, this study reviewed two forms of computer assisted instruction developed in an effort to build an instructional…

This study was designed to determine the relationship between the Lowenfeldian visual-haptic (perceptual) and the Piagetian concrete-formal (operational reasoning) continua. The study also investigated the relationship between age, sex, academic goal, academic preference, and a person's perceptual aptitude or intellectual reasoning abilities.…

A brief overview of the language of mathematics is presented, with specific attention given to its structure and facility. It is felt that professional discretion has to be exercised as to which elements of the material are acceptable for student use. However, it is viewed as essential that teachers be exposed to the structure in order to deal…

The development and field testing of two instructional mathematics programs are discussed. The general instructional program evolved from earlier research, and was field tested with 40 teachers and over 1000 fourth-grade students. Data reflected that this program had strong, positive effects on students' achievement. The second program focused on…

This 10 unit manual introduces the concepts and components of mastery learning and helps instructors organize mastery learning courses of their own. Unit I introduces mastery learning as a process involving the development and presentation of objectives, homework, formative evaluation, corrective assignments, evaluation retakes, and summative…

This study used 152 grade eight students ranging in age from 12 to 14 years from a suburban middle school in central New Jersey. The investigations gave particular attention to the identification of variables that represent understanding of fundamental mathematical structures. The first year of the research took place during the 1978-1979 school…

In presenting a historical overview of trends in vocabulary research, this paper emphasizes the importance of word knowledge as a critical component in reading comprehension. It describes research examining current psychological and pedagogical models as they relate to vocabulary knowledge, and explores vocabulary research in the area of specific…

The concept that it is important for students to learn how to read the language of mathematics is promoted. Most mathematics teachers neither have the knowledge nor feel the responsibility to develop reading skills in their students. The materials in this document are viewed to be of sufficient variety and potential for making important…

Presented is the final report of a one-year project on the structure of high school mathematics knowledge sponsored by the National Institute of Education (NIE). The main body contains conclusions on a conceptual framework for representing high school mathematics. Results are presented through discussion of three domains from the secondary school…

Hierarchically organized knowledge about actions has been postulated to explain planning in problem solving. Perdix, a simulation of problem solving in geometry with schematic planning knowledge, is described. Perdix' planning knowledge enables it to augment the problem space it is given by constructing auxiliary lines. The planning system also…

Ten research reports related to mathematics education are abstracted and analyzed. Five of the reports deal with aspects of mathematics instructional practices, four with areas of learning theory, and one with student achievement. Research related to mathematics education which was reported in RIE and CIJE between July and September 1980 is…

The purpose of the study was to find out if and how the subject matter of a remedial high school classroom interacted with the social organization of that classroom and the differences it made. Two classrooms with different subject matter (mathematics and social studies) were observed over the course of a school year. The multiple awarenesses and…

This document highlights points made in papers presented in the two scheduled sessions devoted to issues in mathematics education affecting minority students at the 1980 National Council of Teachers of Mathematics (NCTM) conference. The first meeting was part of the official NCTM conference program. The second meeting was sponsored by the National…