A longitudinal study followed Brian from grade five through grade seven to examine his representation and development of mathematical knowledge. Some observations over the four years were that Brian liked to figure things out, responded poorly to suggestions not fitting the representation he constructed, and changed attitudes from purposeful and…

Reports results from a project designed to bring about student conceptual change by using multiple modeling and representation as well as links to other areas. Students developed rules as conveniences and meanings for symbols, were active in learning, made interpretations, and had confidence in their thinking. (MKR)

This paper investigates the teacher's role in discussion-intensive pedagogy, arguing that one of the teacher's roles is to support an atmosphere of intellectual ferment. It offers possible language and stance for examining, describing, and analyzing these aspects of classroom discourse; language that is capable of finer distinctions, and a stance…

"Seeing Fractions" is an instructional unit for teachers in California that was trial tested in about 30 classrooms, grades 4 through 6 with diverse student populations, and designed to help students become aware of the variety of ways in which fractions are commonly used. The Introduction includes an overview of fractions and what…

This manual designed for grade 6 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 34 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective, prerequisite skills…

A supplement to the teacher's guide for unit eight of a math/science strand for Spanish-speaking third graders, these instructional aids and ditto masters are designed to help the teacher carry out the instructional and assessment activities for kits 29-32. The guide gives the timetable for when these materials are to be used. Basic theme for the…

Utilizing word problems relevant to automotive mechanics, this workbook presents a concept-oriented approach to competency development in 13 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3) scientific notation;…

Developed by the ABCs of Construction National Workplace Literacy Project, these curriculum materials for the occupational area of pipefitter contain a lesson that deals with measuring fractions. The lesson consists of an instruction sheet and three exercises with answer keys. (YLB)

This paper focuses on a lesson plan in fractional number concepts that illustrates how research and practice have been brought together through the use of integrated media. A teacher applied the findings from her master's thesis by collaborating with an instructor of elementary mathematics methods courses and an experienced teacher on a lesson…

This final report documents achievements of a project to assess social impact and achievement gains resulting from the use of interactive videodisc technology to teach fractions in mainstreamed classrooms across multicultural settings. Subjects (N=294) were regular upper elementary students and students with mild handicaps (MH) in Utah, Wyoming,…

This manual designed for kindergarten and grade 1 is part of a series for a program to integrate the teaching and learning of mathematical and computer concepts and skills in the elementary school. The manual contains 41 lessons. Each lesson includes information on the topic, suggested grade level, mathematics concepts and skills, objective,…

This series of seven booklets is designed to train teachers of adults in metrication, as a prerequisite to offering metrics in adult basic education and general educational development programs. The seven booklets provide a guide representing an integration of metric teaching methods and metric materials to place the adult in an active learning…

Utilizing word problems relevant to the field of environmental health, this workbook presents a concept-oriented approach to competency development in 14 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3)…

The Mathematics Evaluation Materials Package (MEMP) is a set of objectives and companion test items for mathematics education in Grades 4 to 6. Developed for classroom use in a setting that emphasizes increased teacher and principal decision-making and flexible curricular guidelines, it distinguishes itself from other evaluation devices in the…

This publication contains the three numeracy units of the three levels of Support Materials for Agricultural Training (SMAT) in farm management and leadership: Level 1 (starting), 2 (continuing), and 3 (completing). The units are designed to help the learner improve his or her numeracy skills needed to deal with farm management. SMAT materials can…