Two central concepts in probability theory are those of independence and mutually exclusive events. This document is intended to provide suggestions to teachers that can be used to equip students with an intuitive, comprehensive understanding of these basic concepts in probability. The first section of the paper delineates mutually exclusive and…

This Workshop Leader's Guide contains step-by-step procedures for preparing, organizing, and presenting 1-hour and 3-hour workshops on estimation in mathematics. It was designed to assist Technical Assistance Center staff members and other inservice providers in conducting successful workshops on estimation in mathematics for administrators,…

A proposal to institute "a common test in the academic competencies" of English and mathematics as an admission requirement for all Nova Scotian universities was announced by the Royal Commission on Post-Secondary Education in 1985. The commission viewed writing proficiency as an innate ability, independent of learning, environment,…

The field dependent-independent cognitive style has been noted by researchers to be related to mathematical achievement. Researchers have also noted a relationship between field dependence and measures of intelligence, and between sex and mathematical achievement. A multiple regression framework was used to examine the effects of field dependence,…

This study aimed to identify the main difficulties faced by physics students and then devise teaching units to overcome the difficulties, and to investigate whether there was any improvement in achievement in physics if mathematical skills were being stressed explicitly in physics lessons. The topics chosen for this study were graphs, errors, and…

A full-year's applied mathematics curriculum has been constructed around typical situations students may encounter. The curriculum is divided into seven units, two of which are used at various times throughout the year. The units focus on various mathematical aspects related to: (1) money management; (2) shopping; (3) furnishing a room; (4)…

This unit is designed to help middle school students care for a real or imaginary horse while they review basic mathematics skills. Sections in this unit include: (1) "Statistics of Your Horse"; (2) "A Home for Your Horse"; (3) "Feeding Your Horse"; (4) "Equipping Your Horse"; (5) "Showing at Halter"; (6) "Working Hunter"; (7) "Open Jumping"; (8)…

A curriculum alignment chart is presented that translates mathematics goals/indicators into related vocational skills for the carpentry course in the secondary vocational education curriculum. The chart contains three columns that correlate (1) vocational education performance indicators, (2) vocational education competency and mathematics…

A curriculum alignment chart is presented that translates mathematics goals/indicators into related vocational skills for the welding course in the secondary vocational education curriculum. The chart contains three columns that correlate (1) vocational education performance indicators, (2) vocational education competency and mathematics…

Results of a battery of academic and language tests administered to aphasic children and adolescents (N=15) 10 years after onset revealed that the subjects generally performed more poorly than non-brain-injured subjects on the language measures. Academic difficulties were characteristic of the population. Poor performance on arithmetic…

The effectiveness of small group instruction in test taking skills was evaluated with 85 learning disabled or behaviorally disordered students in grades four to six. Trained students scored significantly higher than nontrained students on Stanford Achievement subtests of word study skills and mathematics concepts. (DB)

Male and female junior high school students were administered the recently published Computer Aptitude, Literacy, and Interest Profile, and their composite scores were compared to cumulative mathematics subscales of the Stanford Achievement Test, Advanced Form E. Results showed that mathematics achievement was significantly associated with…

Examines gender and rural-urban differences in achievement and macro- and micro-skills in mathematics. A representative sample of classrooms consisting of 1587 students from a mid-western Canadian province was administered a standardized achievement test battery. Concludes females scored better than males in all areas except mathematics and…

A science unit illustrates the concept of scientific predictions by using how geologists predict where to drill for oil as an example. In a related exercise, everyday items such as bricks, sand, and marbles introduce permeability. Other activities demonstrate how to base predictions on established patterns. A reproducible page is provided. (JL)

Examines several uses of the word cancel and suggests alternative terminology. In particular, arithmetic and algebraic examples are used to illustrate problems associated with the term cancel. (PK)